conversation_id
int64 1
206k
| messages
list | help_channel
stringlengths 6
7
| __rowid__
stringlengths 32
32
|
|---|---|---|---|
200,365 |
[
{
"id": 1034949829039771800,
"author_id": 953836042581061800,
"author_name": "justjustinjr",
"timestamp": "10/26/2022 18:01:07",
"content": ".reopen",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034949891350343700,
"author_id": 953836042581061800,
"author_name": "justjustinjr",
"timestamp": "10/26/2022 18:01:22",
"content": "how would i solve",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034949992793776100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 18:01:46",
"content": "✅",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034950044907995100,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/26/2022 18:01:59",
"content": "Wdym",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034950056882733000,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/26/2022 18:02:02",
"content": "You solved it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034950075350265900,
"author_id": 953836042581061800,
"author_name": "justjustinjr",
"timestamp": "10/26/2022 18:02:06",
"content": "i have another one",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034950097752035300,
"author_id": 953836042581061800,
"author_name": "justjustinjr",
"timestamp": "10/26/2022 18:02:11",
"content": "$4x + 3x = 1$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034950133902758000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/26/2022 18:02:20",
"content": "**justjustinjr**",
"attachments": [
{
"id": 1034950133693034500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1034950133693034527/953836042581061712.png",
"fileName": "953836042581061712.png",
"fileSizeBytes": 4121
}
],
"mentions": [],
"reference": null
},
{
"id": 1034950149434265600,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/26/2022 18:02:24",
"content": "Ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034950191398277200,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/26/2022 18:02:34",
"content": "Whats 4x + 3x",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034950245521555500,
"author_id": 953836042581061800,
"author_name": "justjustinjr",
"timestamp": "10/26/2022 18:02:46",
"content": "7x?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034950255688560800,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/26/2022 18:02:49",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034950266862182500,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/26/2022 18:02:52",
"content": "So",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034950278098714600,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/26/2022 18:02:54",
"content": "7x=1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034950299187679400,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/26/2022 18:02:59",
"content": "What do we do now",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034950305856626800,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/26/2022 18:03:01",
"content": "?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034950354380537900,
"author_id": 953836042581061800,
"author_name": "justjustinjr",
"timestamp": "10/26/2022 18:03:12",
"content": "hmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034950370461495300,
"author_id": 953836042581061800,
"author_name": "justjustinjr",
"timestamp": "10/26/2022 18:03:16",
"content": "divide by 7?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034950380867563500,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/26/2022 18:03:19",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034950457883373600,
"author_id": 953836042581061800,
"author_name": "justjustinjr",
"timestamp": "10/26/2022 18:03:37",
"content": "x = 1/7",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034950471254818800,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "10/26/2022 18:03:40",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034950495682437100,
"author_id": 953836042581061800,
"author_name": "justjustinjr",
"timestamp": "10/26/2022 18:03:46",
"content": "ok now i know how to solve",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034950503961997300,
"author_id": 953836042581061800,
"author_name": "justjustinjr",
"timestamp": "10/26/2022 18:03:48",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034950506839281800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 18:03:49",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
f6a73d2469d7408cb835b16b4d4cd175
|
200,366 |
[
{
"id": 1056557108776161300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 08:00:44",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056566201570033700,
"author_id": 279217052521201660,
"author_name": "tobi.",
"timestamp": "12/25/2022 08:36:52",
"content": "so I am given this function\n\nand they want me to proof when this function is continuous \nI proofed it to only be continues at 0 is that correct?",
"attachments": [
{
"id": 1056566201255481500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056566201255481434/function.PNG",
"fileName": "function.PNG",
"fileSizeBytes": 21159
}
],
"mentions": [],
"reference": null
},
{
"id": 1056566204313125000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 08:36:53",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1056566201570033700,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1056566426468614300,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 08:37:46",
"content": "Hmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056566545423270000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/25/2022 08:38:14",
"content": "one would think it is also continuous at all irrational points, but i am not 100% sure of that.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056566716177584300,
"author_id": 279217052521201660,
"author_name": "tobi.",
"timestamp": "12/25/2022 08:38:55",
"content": "",
"attachments": [
{
"id": 1056566715863007200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056566715863007292/rationao.PNG",
"fileName": "rationao.PNG",
"fileSizeBytes": 13742
}
],
"mentions": [],
"reference": null
},
{
"id": 1056566876903325700,
"author_id": 279217052521201660,
"author_name": "tobi.",
"timestamp": "12/25/2022 08:39:33",
"content": "that was my reason why its not continues at the irrational points?",
"attachments": [],
"mentions": [
{
"id": 183668144404037630,
"name": "Ann",
"discriminator": "0413",
"nickname": "Ann",
"isBot": false
}
],
"reference": null
},
{
"id": 1056567023259369500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/25/2022 08:40:08",
"content": "so your entire reasoning is \"Q is dense in R, therefore this function is discontinuous at every irrational\"...?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056567313253531600,
"author_id": 279217052521201660,
"author_name": "tobi.",
"timestamp": "12/25/2022 08:41:17",
"content": "it comes down to that basicly",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056567465406124000,
"author_id": 279217052521201660,
"author_name": "tobi.",
"timestamp": "12/25/2022 08:41:53",
"content": "and that 1/(p+q) is a touchpoint of the function and 0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056567627771805800,
"author_id": 279217052521201660,
"author_name": "tobi.",
"timestamp": "12/25/2022 08:42:32",
"content": "also i say that its only continues at 0",
"attachments": [],
"mentions": [
{
"id": 183668144404037630,
"name": "Ann",
"discriminator": "0413",
"nickname": "Ann",
"isBot": false
}
],
"reference": null
},
{
"id": 1056567731027193900,
"author_id": 279217052521201660,
"author_name": "tobi.",
"timestamp": "12/25/2022 08:42:57",
"content": "my entire proof is 3 pages long but Im not that good in translating it sry",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056568104429301800,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "12/25/2022 08:44:26",
"content": "if x is irrational, for any sequence pn/qn that goes to x, qn -> +inf",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056568235111219200,
"author_id": 279217052521201660,
"author_name": "tobi.",
"timestamp": "12/25/2022 08:44:57",
"content": "but then its just 0 right?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056568292749365400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/25/2022 08:45:11",
"content": "@tobi. you are failing to make yourself clear",
"attachments": [],
"mentions": [
{
"id": 279217052521201660,
"name": "tobi.",
"discriminator": "3826",
"nickname": "tobi.",
"isBot": false
}
],
"reference": null
},
{
"id": 1056568435557011500,
"author_id": 279217052521201660,
"author_name": "tobi.",
"timestamp": "12/25/2022 08:45:45",
"content": "",
"attachments": [
{
"id": 1056568434571350100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056568434571350103/111.PNG",
"fileName": "111.PNG",
"fileSizeBytes": 71820
},
{
"id": 1056568435091447900,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056568435091447879/112.PNG",
"fileName": "112.PNG",
"fileSizeBytes": 69692
},
{
"id": 1056568435624136700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056568435624136734/113.PNG",
"fileName": "113.PNG",
"fileSizeBytes": 61207
}
],
"mentions": [],
"reference": null
},
{
"id": 1056568471070187600,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "12/25/2022 08:45:53",
"content": "Basically if you get close enough to an irrational, you only have large denominators, which lead to small values of f, therefore it goes to 0 around an irrational",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056568514695147500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/25/2022 08:46:03",
"content": "\"i say that it's only continuous at 0\" means \"i say that it's continuous at 0 and discontinuous everywhere but 0\"",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056568681892679700,
"author_id": 279217052521201660,
"author_name": "tobi.",
"timestamp": "12/25/2022 08:46:43",
"content": "yeah thats what I mean discontinuous everywhere but 0",
"attachments": [],
"mentions": [
{
"id": 183668144404037630,
"name": "Ann",
"discriminator": "0413",
"nickname": "Ann",
"isBot": false
}
],
"reference": null
},
{
"id": 1056568710095192000,
"author_id": 279217052521201660,
"author_name": "tobi.",
"timestamp": "12/25/2022 08:46:50",
"content": "thats my idea",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056569053583523800,
"author_id": 279217052521201660,
"author_name": "tobi.",
"timestamp": "12/25/2022 08:48:12",
"content": "how is that unclear",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056569772499804200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/25/2022 08:51:03",
"content": "well it is clear now",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056569938392924300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/25/2022 08:51:43",
"content": "i just don't understand your proof - and i am not about to dig through 3 pages of proof in handwriting i find hard to read and in a language i don't speak",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056570083134152700,
"author_id": 279217052521201660,
"author_name": "tobi.",
"timestamp": "12/25/2022 08:52:17",
"content": "its fine",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056570086997098600,
"author_id": 279217052521201660,
"author_name": "tobi.",
"timestamp": "12/25/2022 08:52:18",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056570091111723000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 08:52:19",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
42bfdbcca09d473cac66f02608e9b46a
|
200,367 |
[
{
"id": 1056570343130677200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 08:53:19",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056575361695096800,
"author_id": 552107871962136600,
"author_name": "Damkata",
"timestamp": "12/25/2022 09:13:16",
"content": "Hello, can I get help with this: trapezoid ABCD , AB=3√39, CD = √39, angle ABC = 60 degrees, angle BAD = 30 degrees, the point E lies on the AD. Find the length of BE if it divides the trapezoid into two equilateral (S1 = S2 ; S = S1 + S2) parts.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056575364262019100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 09:13:17",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1056575361695096800,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1056575802109612000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "12/25/2022 09:15:01",
"content": "have your drawn a diagram",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056579139861237800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 09:28:17",
"content": "@Damkata Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 552107871962136600,
"name": "Damkata",
"discriminator": "4695",
"nickname": "Damkata",
"isBot": false
}
],
"reference": null
},
{
"id": 1056579194378789000,
"author_id": 882647759906275300,
"author_name": "HPH_Bulko",
"timestamp": "12/25/2022 09:28:30",
"content": "By \"two equilateral parts\" you mean two parts with the same area?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056582914684485600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 09:43:17",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
f8e9b9b741054e1aa649aa92179d2a09
|
200,368 |
[
{
"id": 1056583167491977300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 09:44:17",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056584003345457300,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 09:47:36",
"content": "Is multiplication of fractions is just a consequence of definition ? as in If i think about it, it doesn’t make much sense in 3/4*2/3 is putting 3/4 into groups of 2/3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056584005413261300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 09:47:37",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1056584003345457300,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1056584506875850800,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 09:49:36",
"content": "As in 3*4 I can think it as a way of skipping counting",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056584636324642800,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 09:50:07",
"content": "similarly what way can we think about multiplication of fractions?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056584845695922200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 09:50:57",
"content": "Hmm...maybe think of multiplication as scaling and it'll make more sense",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056584901513707500,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 09:51:10",
"content": "I’ve seen a implication in multiplication rule of probability where the multiplying numerator opens all the favor-abilities and multiplying denominator opens all the possibilities",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056585014801862800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/25/2022 09:51:37",
"content": "3/4*2/3 is the same as (3/4)/(3/2), so you could view it as how many 3/2s go into 3/4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056585042303930500,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 09:51:44",
"content": "but just wondering what exactly is the whole notion of having such a definition",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056585152144347100,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 09:52:10",
"content": "right",
"attachments": [],
"mentions": [
{
"id": 182179228840755200,
"name": "iCaird",
"discriminator": "6258",
"nickname": "ΣAC",
"isBot": false
}
],
"reference": null
},
{
"id": 1056585229978046500,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 09:52:29",
"content": "Multiplication as a definition of skipping counting can only get you so far",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056585419279581200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 09:53:14",
"content": "But if you think of it as scaling something by some amount then it becomes more generalized",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056585521532510200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 09:53:38",
"content": "Like scaling 3/4 by 2/3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056585685756301300,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 09:54:17",
"content": "yes, the notion of scaling is visual but i’m unable to see the exactness",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056585792035758100,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 09:54:43",
"content": "Hmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056585882527866900,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 09:55:04",
"content": "Scaling by 2 means double it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056585997443399700,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 09:55:32",
"content": "scaling by 2/3 means take one third and take 2 of it right?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056585997460193300,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 09:55:32",
"content": "Mhm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056586080675188700,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 09:55:52",
"content": "Yeah you take a third and double that third",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056586137591890000,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 09:56:05",
"content": "Or double the number then take a third of the result",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056586153328914400,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 09:56:09",
"content": "Same thing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056586199348813800,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 09:56:20",
"content": "Or",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056586267418169300,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 09:56:36",
"content": "Taking 66.66...% of the number",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056586339920920600,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 09:56:53",
"content": "Makes sense i guess",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056586583224090600,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 09:57:51",
"content": "So multiplying fractions can be viewed as scaling up the fraction with the factor’s numerator then scaling down with it’s denominator right?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056586623262933000,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 09:58:01",
"content": "Yep",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056586651079544800,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 09:58:08",
"content": "Insightful",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056586657417134200,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 09:58:09",
"content": "Thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056586681253371900,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 09:58:15",
"content": ":librasmile:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056586740296601700,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 09:58:29",
"content": "I’m technically revisiting all the math I do on daily basis",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056586787377659900,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 09:58:40",
"content": "I did that before",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056586833414340700,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 09:58:51",
"content": "Helps you develop some sense for the philosophy of using math",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056586884576460900,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 09:59:03",
"content": "Yes, i’m aim for the same",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056586922933371000,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 09:59:12",
"content": "Just to get the feel of inventing math 🙂",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056586973592170500,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 09:59:24",
"content": "Wow same",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056587004516782200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 09:59:32",
"content": "You will get there lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056587111945478100,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 09:59:57",
"content": "Hope so",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056587277603709000,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 10:00:37",
"content": "I always feel bad just simply manipulating fractions and algebra in my math classes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056587320628891800,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 10:00:47",
"content": "Yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056587361380741100,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 10:00:57",
"content": "Math classes lack explanations for that part",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056587430410584200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 10:01:13",
"content": "As in: \"why are we doing all that voodoo stuff?\"",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056587488698826800,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 10:01:27",
"content": "\"Why does it work\"",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056587519568904300,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 10:01:35",
"content": "All those questions",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056587572501029000,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 10:01:47",
"content": "I got my interest to math very lately (12th grade) so didn’t pickup any of it before that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056587623122079700,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 10:01:59",
"content": "Oh wow nice",
"attachments": [],
"mentions": [
{
"id": 1029194649128161300,
"name": ".doc",
"discriminator": "3885",
"nickname": ".doc",
"isBot": false
}
],
"reference": null
},
{
"id": 1056587730940874900,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 10:02:25",
"content": "Thanks for the help again",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056587769696235600,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 10:02:34",
"content": "Aww I'm happy to help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056587778407813100,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 10:02:36",
"content": ":librasmile:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056587851183177700,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 10:02:54",
"content": "Have a great day",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056587886255935500,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 10:03:02",
"content": ".colose",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056587899312808000,
"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "12/25/2022 10:03:05",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056587902580162600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 10:03:06",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
2bc07c87b6cd4132be89f8464c9b4ebe
|
200,369 |
[
{
"id": 1056588158332055700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 10:04:07",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056590024918962200,
"author_id": 1050702826558468100,
"author_name": "loi",
"timestamp": "12/25/2022 10:11:32",
"content": "Ex 1.3.2 Prove by induction that ∑nk=0(ki)=(n+1i+1) for n≥0 and i≥0.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056590028702228500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 10:11:33",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1056590024918962200,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1056590153658937500,
"author_id": 1050702826558468100,
"author_name": "loi",
"timestamp": "12/25/2022 10:12:03",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056590157085683800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 10:12:03",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
7f1d932f4e6349d197aa8de37af8f1f2
|
200,370 |
[
{
"id": 1056592554361098400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 10:21:35",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056599073618153500,
"author_id": 909676255102795800,
"author_name": "Rivology",
"timestamp": "12/25/2022 10:47:29",
"content": "",
"attachments": [
{
"id": 1056599073131606100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056599073131606136/image0.jpg",
"fileName": "image0.jpg",
"fileSizeBytes": 63955
}
],
"mentions": [],
"reference": null
},
{
"id": 1056599077841797100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 10:47:30",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1056599073618153500,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1056600246819500000,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 10:52:09",
"content": "",
"attachments": [
{
"id": 1056600246454603900,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056600246454603846/IMG_6191.png",
"fileName": "IMG_6191.png",
"fileSizeBytes": 96197
}
],
"mentions": [],
"reference": null
},
{
"id": 1056600322279219300,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 10:52:27",
"content": "Start by visualizing your problem",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056600516198682600,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 10:53:13",
"content": "Now we can use sin rule",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056600904796745700,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 10:54:46",
"content": "Or you can find side AC so you can use sin rule to find the rest of the angles",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056600960551632900,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/25/2022 10:54:59",
"content": "Because you will need angle B",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056602850001703000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 11:02:30",
"content": "@Rivology Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 909676255102795800,
"name": "Rivology",
"discriminator": "6725",
"nickname": "Rivology",
"isBot": false
}
],
"reference": null
},
{
"id": 1056603324377477200,
"author_id": 909676255102795800,
"author_name": "Rivology",
"timestamp": "12/25/2022 11:04:23",
"content": "Ok thank you i got",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056603348620546000,
"author_id": 909676255102795800,
"author_name": "Rivology",
"timestamp": "12/25/2022 11:04:29",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056603352668053600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 11:04:30",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
0935c5b24e2f47e0a8519cc96b464993
|
200,371 |
[
{
"id": 1056603604611514400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 11:05:30",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056607050211274900,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:19:11",
"content": "",
"attachments": [
{
"id": 1056607049909280900,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056607049909280899/image.png",
"fileName": "image.png",
"fileSizeBytes": 42210
}
],
"mentions": [],
"reference": null
},
{
"id": 1056607052979519600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 11:19:12",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1056607050211274900,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1056607057341599700,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:19:13",
"content": "part d help plz",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056607578253185200,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/25/2022 11:21:17",
"content": "P(A and B) = P(A) x P(B)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056607596104138900,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/25/2022 11:21:21",
"content": "use this @SA2017",
"attachments": [],
"mentions": [
{
"id": 849961886874730500,
"name": "SA2017",
"discriminator": "0103",
"nickname": "SA2017",
"isBot": false
}
],
"reference": null
},
{
"id": 1056607643566887000,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:21:33",
"content": "ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056607758708908200,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:22:00",
"content": "No",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056607768355819500,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/25/2022 11:22:02",
"content": "🌲🌳🎄",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056607803298558000,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:22:11",
"content": "This is wrong @Kariok",
"attachments": [],
"mentions": [
{
"id": 761246168339972100,
"name": "Kariok",
"discriminator": "8104",
"nickname": "Kariok",
"isBot": false
}
],
"reference": null
},
{
"id": 1056607852007010400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/25/2022 11:22:22",
"content": "for **independent** A and B.",
"attachments": [],
"mentions": [
{
"id": 761246168339972100,
"name": "Kariok",
"discriminator": "8104",
"nickname": "Kariok",
"isBot": false
}
],
"reference": null
},
{
"id": 1056607854183862400,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/25/2022 11:22:23",
"content": "how",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056607890137432000,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/25/2022 11:22:31",
"content": "In this case they are independent",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056607932269215700,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:22:41",
"content": "No, they aren't.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056608022291566600,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:23:03",
"content": "Assuming you meant A: Having a gold coin\nB: Having a silver coin",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056608035218403300,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/25/2022 11:23:06",
"content": "P(A) = 3/10\nP(B) = 7/9\nP(A and B) = 7/30",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056608114134237300,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:23:25",
"content": "No",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056608152818307200,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:23:34",
"content": "Wrong wrong wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056608174154731500,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/25/2022 11:23:39",
"content": "my bad",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056608181075321000,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/25/2022 11:23:41",
"content": "nvm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056608220141060100,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:23:50",
"content": "wrong wrong wrong wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056608277078753300,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/25/2022 11:24:04",
"content": "https://tenor.com/view/you-lose-good-day-sir-gif-7465431",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056608445794619400,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/25/2022 11:24:44",
"content": "it will be \nP(A) = 3/10\nP(B) = 7/9\nP(A and B) = 7/30\n\nP(M) = 7/10\nP(N) = 3/9=1/3\np(M and N) = 7/30\n\n\nAnswer = 7/30 + 7/30 = 7/15",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056608528581791700,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/25/2022 11:25:04",
"content": "as we dont know if first coin is gold or silver",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056608624451010700,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:25:26",
"content": "@SA2017 \n\n1) Have you learned conditional probability\n2) If yes, what is the definition? You can use it",
"attachments": [],
"mentions": [
{
"id": 849961886874730500,
"name": "SA2017",
"discriminator": "0103",
"nickname": "SA2017",
"isBot": false
}
],
"reference": null
},
{
"id": 1056608628255236100,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/25/2022 11:25:27",
"content": "…anyways, these might be useful btw",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056608653110681600,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/25/2022 11:25:33",
"content": "true\ntrue true true",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056608670626099200,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:25:37",
"content": "yes",
"attachments": [],
"mentions": [
{
"id": 154343039878299650,
"name": "Fέliχ",
"discriminator": "3252",
"nickname": "all matrices are invertible",
"isBot": false
}
],
"reference": null
},
{
"id": 1056608672735838200,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:25:38",
"content": "acc",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056608688628060200,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:25:42",
"content": "can we do B first",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056608704797102200,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:25:46",
"content": "cuz i got that wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056608761839616000,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:25:59",
"content": "",
"attachments": [
{
"id": 1056608761617326200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056608761617326170/image.png",
"fileName": "image.png",
"fileSizeBytes": 427620
}
],
"mentions": [],
"reference": null
},
{
"id": 1056608791447216300,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:26:06",
"content": "You asked for D",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056608848460390400,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:26:20",
"content": "ik",
"attachments": [],
"mentions": [
{
"id": 154343039878299650,
"name": "Fέliχ",
"discriminator": "3252",
"nickname": "all matrices are invertible",
"isBot": false
}
],
"reference": null
},
{
"id": 1056608862880415700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/25/2022 11:26:23",
"content": "well yeah your b is bad",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056608904072663200,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/25/2022 11:26:33",
"content": "....this is correct solution",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056608970787274800,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:26:49",
"content": "its like a christmas gathering in here lmao",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056609032707788800,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:27:04",
"content": "Yea because someone is trolling",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056609084809429000,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:27:16",
"content": "who",
"attachments": [],
"mentions": [
{
"id": 154343039878299650,
"name": "Fέliχ",
"discriminator": "3252",
"nickname": "all matrices are invertible",
"isBot": false
}
],
"reference": null
},
{
"id": 1056609166581563400,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:27:36",
"content": "Kariok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056609195618730000,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/25/2022 11:27:43",
"content": "bruh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056609234592219100,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/25/2022 11:27:52",
"content": "then you tell what will be the answer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056609291789938800,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:28:06",
"content": "No I won't",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056609304934895700,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:28:09",
"content": "kariok is acc corect",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056609387407474800,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:28:28",
"content": "🤣",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056609405929537500,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/25/2022 11:28:33",
"content": "Maybe u dont actually know the right answeR?",
"attachments": [],
"mentions": [
{
"id": 154343039878299650,
"name": "Fέliχ",
"discriminator": "3252",
"nickname": "all matrices are invertible",
"isBot": false
}
],
"reference": null
},
{
"id": 1056609417128321000,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:28:35",
"content": "7/15 is correct",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056609429765754900,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:28:38",
"content": "for d",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056609438913540200,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:28:41",
"content": "according to ms",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056609482320400400,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:28:51",
"content": "2+3 = 3+3 = 5",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056609504281776300,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:28:56",
"content": "My answer is right guys!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056609507188416500,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/25/2022 11:28:57",
"content": "Cant even explain the answer and saying that the right answer is \"trolling\"",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056609532618494100,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:29:03",
"content": "😭",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056609599601529000,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:29:19",
"content": "What is B?",
"attachments": [],
"mentions": [
{
"id": 761246168339972100,
"name": "Kariok",
"discriminator": "8104",
"nickname": "Kariok",
"isBot": false
}
],
"reference": null
},
{
"id": 1056609672028758100,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:29:36",
"content": "In your work? Define the event B please",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056610020386676700,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/25/2022 11:30:59",
"content": "in P(A and B), \nA is probability of choosing gold coin first\nB is probability of choosing silver coin second\n\nIn P(M and N)\nM is probability of choosing silver coin first\nN is probability of choosing gold coin second",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056610199399571500,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:31:42",
"content": "Ok so first, B is an event, not a probability",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056610229724385300,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:31:49",
"content": "And second, most importantly,",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056610294996156400,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:32:05",
"content": "P(B) is not 7/9 as you stated, this is wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056610336335204400,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/25/2022 11:32:15",
"content": "It isnt wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056610351828959400,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:32:18",
"content": "So while you got the right answer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056610367750537200,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:32:22",
"content": "Your work is wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056610382707437600,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/25/2022 11:32:26",
"content": "7 coins of silver,and 9 coins total",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056610384733290500,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:32:26",
"content": "It IS wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056610478153027700,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:32:48",
"content": "P(B|A) is 7/9",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056610500705792000,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:32:54",
"content": "P(B) is 7/10",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056610506695250000,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:32:55",
"content": "🙂",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056610763877404700,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/25/2022 11:33:56",
"content": "i just said P(B) is probability of choosing ***SILVER COIN*** in the ***SECOND DRAW***",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056610814926266500,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:34:09",
"content": "",
"attachments": [
{
"id": 1056610815161151500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056610815161151548/image.png",
"fileName": "image.png",
"fileSizeBytes": 363683
}
],
"mentions": [],
"reference": null
},
{
"id": 1056610826364137600,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:34:11",
"content": "Yes and that probability is not 7/9",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056610836203962500,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:34:14",
"content": "is B correct?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056610861248151600,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:34:20",
"content": "like the method",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056610948699406300,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:34:41",
"content": "Yes, but there were a simpler way",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056611083684687900,
"author_id": 761246168339972100,
"author_name": "Kariok",
"timestamp": "12/25/2022 11:35:13",
"content": "it is,given that the gold coin has been drawn in the first draw",
"attachments": [],
"mentions": [
{
"id": 154343039878299650,
"name": "Fέliχ",
"discriminator": "3252",
"nickname": "all matrices are invertible",
"isBot": false
}
],
"reference": null
},
{
"id": 1056611124113584100,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:35:22",
"content": "So I would like you to stop replying. You even mentioned earlier that A and B are independent, which shows a clear flaw in your understanding",
"attachments": [],
"mentions": [
{
"id": 761246168339972100,
"name": "Kariok",
"discriminator": "8104",
"nickname": "Kariok",
"isBot": false
}
],
"reference": null
},
{
"id": 1056611168690643100,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:35:33",
"content": "Ok so that is P(B|A)? 🙂",
"attachments": [],
"mentions": [
{
"id": 761246168339972100,
"name": "Kariok",
"discriminator": "8104",
"nickname": "Kariok",
"isBot": false
}
],
"reference": null
},
{
"id": 1056612021279396000,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:38:56",
"content": "@SA2017 You could also use a simple \"cominatorics\" argument to solve (b) directly, but what you did is right\n\nFor (d), use the definition of conditional probability, can you state the definition?",
"attachments": [],
"mentions": [
{
"id": 849961886874730500,
"name": "SA2017",
"discriminator": "0103",
"nickname": "SA2017",
"isBot": false
}
],
"reference": null
},
{
"id": 1056612049242837000,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:39:03",
"content": "combinatorics*",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056612211646279700,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:39:42",
"content": "P(AgivenB) = P(A intersect B) / P(B)",
"attachments": [],
"mentions": [
{
"id": 154343039878299650,
"name": "Fέliχ",
"discriminator": "3252",
"nickname": "all matrices are invertible",
"isBot": false
}
],
"reference": null
},
{
"id": 1056612240628920400,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:39:49",
"content": "Exactly",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056612568719958000,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:41:07",
"content": "Even if Kariok's work was wrong, you can inspire yourself of it as the intuition behind it was right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056612695136284700,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:41:37",
"content": "Do you feel confident solving it?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056612746193543300,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:41:49",
"content": "ill have a go and lyk how i get on",
"attachments": [],
"mentions": [
{
"id": 154343039878299650,
"name": "Fέliχ",
"discriminator": "3252",
"nickname": "all matrices are invertible",
"isBot": false
}
],
"reference": null
},
{
"id": 1056612771615211600,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:41:55",
"content": "Super!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056615375741136900,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:52:16",
"content": "",
"attachments": [
{
"id": 1056615375904702500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056615375904702474/image.png",
"fileName": "image.png",
"fileSizeBytes": 278570
}
],
"mentions": [],
"reference": null
},
{
"id": 1056615396876222500,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:52:21",
"content": "got this ^",
"attachments": [],
"mentions": [
{
"id": 154343039878299650,
"name": "Fέliχ",
"discriminator": "3252",
"nickname": "all matrices are invertible",
"isBot": false
}
],
"reference": null
},
{
"id": 1056615748430200800,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:53:45",
"content": "Great 🙂",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056615822375796700,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:54:03",
"content": "pretty easy acc",
"attachments": [],
"mentions": [
{
"id": 154343039878299650,
"name": "Fέliχ",
"discriminator": "3252",
"nickname": "all matrices are invertible",
"isBot": false
}
],
"reference": null
},
{
"id": 1056616080862367900,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:55:04",
"content": "I agree. Just make sure to read carefully what you are being asked: this is probably the only place where it can go wrong in these type of questions",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056616218380992600,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:55:37",
"content": "for part e can u use binomial dist.?",
"attachments": [
{
"id": 1056616218083209300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056616218083209287/image.png",
"fileName": "image.png",
"fileSizeBytes": 54789
}
],
"mentions": [],
"reference": null
},
{
"id": 1056616323515428900,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:56:02",
"content": "What do you need in order to use the binomial distribution?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056616406822699000,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:56:22",
"content": "constant probability of success",
"attachments": [],
"mentions": [
{
"id": 154343039878299650,
"name": "Fέliχ",
"discriminator": "3252",
"nickname": "all matrices are invertible",
"isBot": false
}
],
"reference": null
},
{
"id": 1056616426808549400,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:56:27",
"content": "and fixed number of trials",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056616479572885600,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:56:39",
"content": "Do you have both?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056616498698916000,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:56:44",
"content": "oh wait as the coin isnt replaced, does that mean we dont have a fixed number of trials?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056616593364357100,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:57:06",
"content": "The number of trials can be fixed at two",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056616667280592900,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:57:24",
"content": "However, since you do not replace coins, you do not have independence between the trials",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056616847639838700,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:58:07",
"content": "In other words, the probability of success for a given trial can depend of the past trials \n\n(and here, it actually *will* depend on the past)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056616853486702600,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:58:08",
"content": "i see",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056616898806157300,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 11:58:19",
"content": "so we cant use binomial then",
"attachments": [],
"mentions": [
{
"id": 154343039878299650,
"name": "Fέliχ",
"discriminator": "3252",
"nickname": "all matrices are invertible",
"isBot": false
}
],
"reference": null
},
{
"id": 1056616923577716700,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:58:25",
"content": "Exactly",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056617290357022700,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 11:59:53",
"content": "Using your notation above, you are looking for $P(G_1 \\cup G_2)$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056617299483836400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/25/2022 11:59:55",
"content": "**Fέliχ**",
"attachments": [
{
"id": 1056617299265736700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056617299265736725/154343039878299648.png",
"fileName": "154343039878299648.png",
"fileSizeBytes": 18866
}
],
"mentions": [],
"reference": null
},
{
"id": 1056618593665679400,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 12:05:03",
"content": "",
"attachments": [
{
"id": 1056618593812500500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056618593812500520/image.png",
"fileName": "image.png",
"fileSizeBytes": 372691
}
],
"mentions": [],
"reference": null
},
{
"id": 1056618610484854800,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 12:05:07",
"content": "^",
"attachments": [],
"mentions": [
{
"id": 154343039878299650,
"name": "Fέliχ",
"discriminator": "3252",
"nickname": "all matrices are invertible",
"isBot": false
}
],
"reference": null
},
{
"id": 1056619385302819000,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 12:08:12",
"content": "I didn't check the math, there were simpler but this is fine",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056619545953059000,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 12:08:50",
"content": "how can u tell if two events r indepenedent",
"attachments": [],
"mentions": [
{
"id": 154343039878299650,
"name": "Fέliχ",
"discriminator": "3252",
"nickname": "all matrices are invertible",
"isBot": false
}
],
"reference": null
},
{
"id": 1056619562193403900,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 12:08:54",
"content": "from the question",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056619645290950700,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 12:09:14",
"content": "like how did u know we could use P (A) x P(B) for eg.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056619754057638000,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 12:09:40",
"content": "Intuitively, if the outcome of an event influences the probability of the second one happening, then there is no independence",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056619851898171400,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 12:10:03",
"content": "i see",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056619910945587300,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 12:10:17",
"content": "ye that makes sense",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056620253221757000,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 12:11:39",
"content": "🙂",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056620742843846700,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 12:13:36",
"content": "so for part f, when using the given formula, when calculating the numerator, we cant multiply the two probabilities together since they aren't indepedent?",
"attachments": [
{
"id": 1056620742520881200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056620742520881182/image.png",
"fileName": "image.png",
"fileSizeBytes": 54789
}
],
"mentions": [
{
"id": 154343039878299650,
"name": "Fέliχ",
"discriminator": "3252",
"nickname": "all matrices are invertible",
"isBot": false
}
],
"reference": null
},
{
"id": 1056620920384524300,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 12:14:18",
"content": "or can we?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056620934628389000,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 12:14:21",
"content": "They aren't independent indeed",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056621025640587300,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 12:14:43",
"content": "so how would we calc the intersection of part d and part e?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056621058410688500,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 12:14:51",
"content": "You can however tell what is the intersection",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056621116950577200,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 12:15:05",
"content": "one coin is gold?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056621141663416300,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 12:15:11",
"content": "If both events have to happen, what does it mean?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056621166997024800,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 12:15:17",
"content": "One coin is gold, and ?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056621279786057700,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 12:15:44",
"content": "just that no?",
"attachments": [],
"mentions": [
{
"id": 154343039878299650,
"name": "Fέliχ",
"discriminator": "3252",
"nickname": "all matrices are invertible",
"isBot": false
}
],
"reference": null
},
{
"id": 1056621355828772900,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 12:16:02",
"content": "since one coin is gold and one is silver intersect at least one coin of gold",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056621388921847800,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 12:16:10",
"content": "is just one coin is gold no?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056621511777189900,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 12:16:39",
"content": "One coin is gold, and one coin is silver",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056621533419819100,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 12:16:44",
"content": "That is the intersection",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056621562456977500,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 12:16:51",
"content": "Is that what you mean?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056621604215476200,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 12:17:01",
"content": "no i meant JUST one coin is gold",
"attachments": [],
"mentions": [
{
"id": 154343039878299650,
"name": "Fέliχ",
"discriminator": "3252",
"nickname": "all matrices are invertible",
"isBot": false
}
],
"reference": null
},
{
"id": 1056621685467529200,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 12:17:20",
"content": "how is one coin is silver also in the intersection?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056621709710598100,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 12:17:26",
"content": "Well you draw two coins right?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056621791772164100,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 12:17:46",
"content": "ye",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056623546589270000,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 12:24:44",
"content": "So the intersection is that you draw one gold and one silver",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056623587450159100,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/25/2022 12:24:54",
"content": "It is the only possible issue for both events to happen",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056623707688284300,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 12:25:23",
"content": "ye makes sense",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056623712205557800,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 12:25:24",
"content": "cheers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056623727464415400,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 12:25:27",
"content": "for the help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056625522043535400,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/25/2022 12:32:35",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056625524681736300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 12:32:36",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
dd4ee37317d44edf98e78a5576a27f24
|
200,372 |
[
{
"id": 1056625778080624800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 12:33:36",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056626756829847600,
"author_id": 668306874931871700,
"author_name": "dhruvie",
"timestamp": "12/25/2022 12:37:30",
"content": "Hi I need help on my Geo problem",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056626758914428900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 12:37:30",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1056626756829847600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1056626896609222800,
"author_id": 668306874931871700,
"author_name": "dhruvie",
"timestamp": "12/25/2022 12:38:03",
"content": "here is the problem:",
"attachments": [
{
"id": 1056626896252702700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056626896252702760/image.png",
"fileName": "image.png",
"fileSizeBytes": 69442
}
],
"mentions": [],
"reference": null
},
{
"id": 1056627060442923100,
"author_id": 668306874931871700,
"author_name": "dhruvie",
"timestamp": "12/25/2022 12:38:42",
"content": "I am stuck on proving it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056627093842182300,
"author_id": 668306874931871700,
"author_name": "dhruvie",
"timestamp": "12/25/2022 12:38:50",
"content": "@Helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056628645155852400,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "12/25/2022 12:45:00",
"content": "If a triangle is an isosceles what do you know about the triangle?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056630869760164000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 12:53:50",
"content": "@dhruvie Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 668306874931871700,
"name": "dhruvie",
"discriminator": "6981",
"nickname": "dhruvie",
"isBot": false
}
],
"reference": null
},
{
"id": 1056632424831922300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 13:00:01",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
68b0b4a2c38b47a59e07cf11a9b58e5b
|
200,373 |
[
{
"id": 1056632677421285500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 13:01:01",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056635271468306400,
"author_id": 767169329983782900,
"author_name": "Melos",
"timestamp": "12/25/2022 13:11:20",
"content": "How can Prove that the limit of this function at infinity is 0",
"attachments": [
{
"id": 1056635271258570800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056635271258570762/Screenshot_20221225-190919.png",
"fileName": "Screenshot_20221225-190919.png",
"fileSizeBytes": 72600
}
],
"mentions": [],
"reference": null
},
{
"id": 1056635274920206500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 13:11:20",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1056635271468306400,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1056636030675075100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/25/2022 13:14:21",
"content": "erase low order terms",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056636098119487600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/25/2022 13:14:37",
"content": "The \"-1\" in the numerator isn't gonna do much against infinity",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056636138384797800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/25/2022 13:14:46",
"content": "So it's essentially the limit ln|x/x|",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056636194894659700,
"author_id": 767169329983782900,
"author_name": "Melos",
"timestamp": "12/25/2022 13:15:00",
"content": "L(1)=0 🗿",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056636214750494800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/25/2022 13:15:04",
"content": "Yup",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056636407235493900,
"author_id": 767169329983782900,
"author_name": "Melos",
"timestamp": "12/25/2022 13:15:50",
"content": "my heart, I didn't pay attention to it , I completely forgot about it 💔",
"attachments": [],
"mentions": [
{
"id": 349354952961032200,
"name": "Umbraleviathan",
"discriminator": "3607",
"nickname": "Umbraleviathan",
"isBot": false
}
],
"reference": null
},
{
"id": 1056636498306408600,
"author_id": 767169329983782900,
"author_name": "Melos",
"timestamp": "12/25/2022 13:16:12",
"content": "Anyways , thanks u",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056636511803691000,
"author_id": 767169329983782900,
"author_name": "Melos",
"timestamp": "12/25/2022 13:16:15",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056636514580316200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 13:16:16",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
118fe82d310b46d0afe7c0ab4ed01c35
|
200,374 |
[
{
"id": 1056636525649088500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/25/2022 13:16:19",
"content": "The power of pencil erasers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056636637360169100,
"author_id": 767169329983782900,
"author_name": "Melos",
"timestamp": "12/25/2022 13:16:45",
"content": "Yeah",
"attachments": [],
"mentions": [
{
"id": 349354952961032200,
"name": "Umbraleviathan",
"discriminator": "3607",
"nickname": "Umbraleviathan",
"isBot": false
}
],
"reference": null
},
{
"id": 1056636980022214700,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "12/25/2022 13:18:07",
"content": "Can u also split the fraction then do the limit chain rule?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056667873956868200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 15:20:53",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056669651842638000,
"author_id": 678226410300637200,
"author_name": "Murthy",
"timestamp": "12/25/2022 15:27:56",
"content": "Solve without L'Hospital's Rule",
"attachments": [
{
"id": 1056669651494514700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056669651494514719/image.png",
"fileName": "image.png",
"fileSizeBytes": 4044
}
],
"mentions": [],
"reference": null
},
{
"id": 1056669654195650700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 15:27:57",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1056669651842638000,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1056670507245781100,
"author_id": 745951784526282800,
"author_name": "dog.",
"timestamp": "12/25/2022 15:31:20",
"content": "what have you tried",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056670667195551700,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "12/25/2022 15:31:59",
"content": "try to apply x³-y³ = (x-y)(x²+xy+y²)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056670755728916500,
"author_id": 678226410300637200,
"author_name": "Murthy",
"timestamp": "12/25/2022 15:32:20",
"content": "okay got it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056670760409759700,
"author_id": 678226410300637200,
"author_name": "Murthy",
"timestamp": "12/25/2022 15:32:21",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056670763719069800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/25/2022 15:32:22",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
da813c1d770840b788788c5492419105
|
200,375 |
[
{
"id": 1056827246557528200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 01:54:10",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056830262899650600,
"author_id": 665305426887311400,
"author_name": "elpimS",
"timestamp": "12/26/2022 02:06:09",
"content": "i tried graphing this my answer was (4,3) but the book got (-2,-1) how?",
"attachments": [
{
"id": 1056830262656389100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056830262656389181/image.png",
"fileName": "image.png",
"fileSizeBytes": 33425
}
],
"mentions": [],
"reference": null
},
{
"id": 1056830265579798500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 02:06:10",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1056830262899650600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1056832707784609800,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 02:15:52",
"content": "You want the vertex or the point of intersection?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056833533974413400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/26/2022 02:19:09",
"content": "What even is the question.",
"attachments": [],
"mentions": [
{
"id": 665305426887311400,
"name": "elpimS",
"discriminator": "6450",
"nickname": "elpimS",
"isBot": false
}
],
"reference": null
},
{
"id": 1056834774997672000,
"author_id": 665305426887311400,
"author_name": "elpimS",
"timestamp": "12/26/2022 02:24:05",
"content": "yes",
"attachments": [],
"mentions": [
{
"id": 1000057838007226500,
"name": "VulcanOne",
"discriminator": "5806",
"nickname": "VulcanOne",
"isBot": false
}
],
"reference": null
},
{
"id": 1056835038878126100,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 02:25:08",
"content": ":thinkspin:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056835059698643000,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 02:25:13",
"content": "Vertex?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056835305442918400,
"author_id": 665305426887311400,
"author_name": "elpimS",
"timestamp": "12/26/2022 02:26:11",
"content": "this is the full question",
"attachments": [
{
"id": 1056835305090601000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056835305090601011/image.png",
"fileName": "image.png",
"fileSizeBytes": 55344
}
],
"mentions": [],
"reference": null
},
{
"id": 1056835509797781500,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 02:27:00",
"content": "Hmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056835628274294800,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 02:27:28",
"content": "What does the question need from you graphing both functions?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056835958185664600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/26/2022 02:28:47",
"content": "Show the answer",
"attachments": [],
"mentions": [
{
"id": 665305426887311400,
"name": "elpimS",
"discriminator": "6450",
"nickname": "elpimS",
"isBot": false
}
],
"reference": null
},
{
"id": 1056835983062085600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/26/2022 02:28:53",
"content": "Show the full page",
"attachments": [],
"mentions": [
{
"id": 665305426887311400,
"name": "elpimS",
"discriminator": "6450",
"nickname": "elpimS",
"isBot": false
}
],
"reference": null
},
{
"id": 1056836258522992600,
"author_id": 665305426887311400,
"author_name": "elpimS",
"timestamp": "12/26/2022 02:29:59",
"content": "i did a",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056836271059779600,
"author_id": 665305426887311400,
"author_name": "elpimS",
"timestamp": "12/26/2022 02:30:02",
"content": "",
"attachments": [
{
"id": 1056836270720037000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056836270720036955/image.png",
"fileName": "image.png",
"fileSizeBytes": 42311
}
],
"mentions": [],
"reference": null
},
{
"id": 1056836272552935600,
"author_id": 665305426887311400,
"author_name": "elpimS",
"timestamp": "12/26/2022 02:30:02",
"content": "this is b",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056836370334752800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/26/2022 02:30:25",
"content": "That's the vertex for the second equation in b",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056836438676750500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/26/2022 02:30:42",
"content": "The graphs are the answer to the question",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056836778419560400,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 02:32:03",
"content": "You can complete the square fro $x^2 +4x + 3$ and you'll see why it has vertex (-2,-1)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056836788443959300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/26/2022 02:32:05",
"content": "**VulcanOne**",
"attachments": [
{
"id": 1056836788267778000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056836788267778059/1000057838007226480.png",
"fileName": "1000057838007226480.png",
"fileSizeBytes": 29614
}
],
"mentions": [],
"reference": null
},
{
"id": 1056840048370253800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 02:45:02",
"content": "@elpimS Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 665305426887311400,
"name": "elpimS",
"discriminator": "6450",
"nickname": "elpimS",
"isBot": false
}
],
"reference": null
},
{
"id": 1056844415152431100,
"author_id": 665305426887311400,
"author_name": "elpimS",
"timestamp": "12/26/2022 03:02:23",
"content": "i got (x+2)^2=7",
"attachments": [],
"mentions": [
{
"id": 510789298321096700,
"name": "TeXit",
"discriminator": "0796",
"nickname": "TeXit",
"isBot": true
}
],
"reference": null
},
{
"id": 1056844604110033000,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 03:03:08",
"content": "Are you sure?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056844682228924400,
"author_id": 665305426887311400,
"author_name": "elpimS",
"timestamp": "12/26/2022 03:03:27",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056844728148185200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 03:03:38",
"content": "Check again",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056844796087509100,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 03:03:54",
"content": "You did a mistake in the middle",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056845069753274400,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 03:04:59",
"content": "Add and subtract a number to keep the equation the same",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056845074035638300,
"author_id": 665305426887311400,
"author_name": "elpimS",
"timestamp": "12/26/2022 03:05:00",
"content": "this is what i did:\n\nx^2+4x+3\nx^2+4x=3\nx^2+4x+4=3+4\n(x+2)^2=7",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056845141710749700,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 03:05:17",
"content": "Nope still incorrect",
"attachments": [],
"mentions": [
{
"id": 665305426887311400,
"name": "elpimS",
"discriminator": "6450",
"nickname": "elpimS",
"isBot": false
}
],
"reference": null
},
{
"id": 1056845230126682100,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 03:05:38",
"content": "You moved 3 to the other side with the same sign",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056845339891597300,
"author_id": 665305426887311400,
"author_name": "elpimS",
"timestamp": "12/26/2022 03:06:04",
"content": "oh ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056845479247355900,
"author_id": 665305426887311400,
"author_name": "elpimS",
"timestamp": "12/26/2022 03:06:37",
"content": "so it's \n(x+2)^2=1?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056845590320910300,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 03:07:03",
"content": "Yep",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056845689893683300,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 03:07:27",
"content": "Switch 1 to the other side and you should get your parabola's vertex",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056845760844542000,
"author_id": 665305426887311400,
"author_name": "elpimS",
"timestamp": "12/26/2022 03:07:44",
"content": "substitute x with 1?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056849234923630600,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 03:21:32",
"content": "Nope",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056849325533188200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 03:21:54",
"content": "$(x+2)^2 -1 = 0$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056849333741441200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/26/2022 03:21:56",
"content": "**VulcanOne**",
"attachments": [
{
"id": 1056849333854683300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056849333854683206/1000057838007226480.png",
"fileName": "1000057838007226480.png",
"fileSizeBytes": 7555
}
],
"mentions": [],
"reference": null
},
{
"id": 1056851612108345300,
"author_id": 1032444535336358000,
"author_name": "$Vanilla's Social$",
"timestamp": "12/26/2022 03:30:59",
"content": "A) \\\\\n$(x+2)² - 1 = x²+4x+3 \\\\\nx²+4x+4-1 = x²+4x+3 \\\\ \nx²+4x+3 = x²+4x+3$",
"attachments": [],
"mentions": [
{
"id": 665305426887311400,
"name": "elpimS",
"discriminator": "6450",
"nickname": "elpimS",
"isBot": false
}
],
"reference": null
},
{
"id": 1056851623223238800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/26/2022 03:31:02",
"content": "**Vanilla's Social**",
"attachments": [
{
"id": 1056851623093223400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056851623093223484/1032444535336357958.png",
"fileName": "1032444535336357958.png",
"fileSizeBytes": 23182
}
],
"mentions": [],
"reference": null
},
{
"id": 1056851719943880800,
"author_id": 665305426887311400,
"author_name": "elpimS",
"timestamp": "12/26/2022 03:31:25",
"content": "i still don't understand how they got -2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056851922742693900,
"author_id": 1032444535336358000,
"author_name": "$Vanilla's Social$",
"timestamp": "12/26/2022 03:32:13",
"content": "$\\graph {x^2}{-5}{5}{y}{x} \\\\ \\name{\\text{y=x²}} \\\\\n\\graph{x^2 + 4 * x + 3}{-5}{5}{y}{x} \\\\ \\name{\\text{y=x²+4x+3}}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056852589381156900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/26/2022 03:34:52",
"content": "**Vanilla's Social**",
"attachments": [
{
"id": 1056852589221785600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056852589221785620/1032444535336357958.png",
"fileName": "1032444535336357958.png",
"fileSizeBytes": 68497
}
],
"mentions": [],
"reference": null
},
{
"id": 1056853321081704400,
"author_id": 1032444535336358000,
"author_name": "$Vanilla's Social$",
"timestamp": "12/26/2022 03:37:47",
"content": "What ?",
"attachments": [],
"mentions": [
{
"id": 665305426887311400,
"name": "elpimS",
"discriminator": "6450",
"nickname": "elpimS",
"isBot": false
}
],
"reference": null
},
{
"id": 1056854548087586800,
"author_id": 665305426887311400,
"author_name": "elpimS",
"timestamp": "12/26/2022 03:42:39",
"content": "the answer they go was (-2,-1)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056854872680566800,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 03:43:57",
"content": "The vertex of any quadratic can be found in this form",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056854928712269800,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 03:44:10",
"content": "$(x-h)^2 +k$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056854937767788500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/26/2022 03:44:12",
"content": "**VulcanOne**",
"attachments": [
{
"id": 1056854937583235200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056854937583235152/1000057838007226480.png",
"fileName": "1000057838007226480.png",
"fileSizeBytes": 8022
}
],
"mentions": [],
"reference": null
},
{
"id": 1056854995636596700,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 03:44:26",
"content": "h = the x coordinate of the vertex",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056855030881329200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 03:44:34",
"content": "k = y coordinate of the vertex",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056861043550330900,
"author_id": 665305426887311400,
"author_name": "elpimS",
"timestamp": "12/26/2022 04:08:28",
"content": "how do i apply this to my question",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056861452536922200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 04:10:05",
"content": "Well your question wants you to draw x^2 and x^2 + 4x + 3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056868594274803700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 04:38:28",
"content": "@elpimS Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 665305426887311400,
"name": "elpimS",
"discriminator": "6450",
"nickname": "elpimS",
"isBot": false
}
],
"reference": null
},
{
"id": 1056876693983330300,
"author_id": 731153889448951800,
"author_name": "Beast69",
"timestamp": "12/26/2022 05:10:39",
"content": "",
"attachments": [
{
"id": 1056876693635223600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056876693635223592/image.png",
"fileName": "image.png",
"fileSizeBytes": 2936
}
],
"mentions": [],
"reference": null
},
{
"id": 1056876734986850300,
"author_id": 731153889448951800,
"author_name": "Beast69",
"timestamp": "12/26/2022 05:10:49",
"content": "help me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056877447745912800,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 05:13:39",
"content": "!help",
"attachments": [],
"mentions": [
{
"id": 731153889448951800,
"name": "Beast69",
"discriminator": "5422",
"nickname": "Beast69",
"isBot": false
}
],
"reference": null
},
{
"id": 1056877448681230300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 05:13:39",
"content": "Please read #❓how-to-get-help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056884277104623700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 05:40:47",
"content": "@elpimS Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 665305426887311400,
"name": "elpimS",
"discriminator": "6450",
"nickname": "elpimS",
"isBot": false
}
],
"reference": null
},
{
"id": 1056892663397359600,
"author_id": 831504584421015600,
"author_name": "iamnotamerican9",
"timestamp": "12/26/2022 06:14:07",
"content": "try to use desmos?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056904602664058900,
"author_id": 548061006170161150,
"author_name": "ColdTee",
"timestamp": "12/26/2022 07:01:33",
"content": ",, \\graph {x^2 + 4* x + 3}{-3}{1}{y}{x}",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056904813910163600,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 07:02:23",
"content": "The scale is so big",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056904884605177900,
"author_id": 548061006170161150,
"author_name": "ColdTee",
"timestamp": "12/26/2022 07:02:40",
"content": "How much should i set it to",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056904898744176600,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 07:02:44",
"content": "Make it from -3 to 1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056904954041876500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/26/2022 07:02:57",
"content": "**ColdTee**",
"attachments": [
{
"id": 1056904953865699300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056904953865699328/548061006170161163.png",
"fileName": "548061006170161163.png",
"fileSizeBytes": 28082
}
],
"mentions": [],
"reference": null
},
{
"id": 1056905014888628200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/26/2022 07:03:11",
"content": "That's better",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056918396899438600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 07:56:22",
"content": "@elpimS Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 665305426887311400,
"name": "elpimS",
"discriminator": "6450",
"nickname": "elpimS",
"isBot": false
}
],
"reference": null
},
{
"id": 1056926955309629400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 08:30:22",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
810c1a80499d4d63973e0cc402f31ffa
|
200,376 |
[
{
"id": 1034954589365092400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 18:20:02",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034954899642916900,
"author_id": 530043257703366660,
"author_name": "adxm",
"timestamp": "10/26/2022 18:21:16",
"content": "",
"attachments": [
{
"id": 1034954898917302300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1034954898917302312/IMG_2980.png",
"fileName": "IMG_2980.png",
"fileSizeBytes": 68754
},
{
"id": 1034954899298980000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1034954899298979930/IMG_2979.png",
"fileName": "IMG_2979.png",
"fileSizeBytes": 2104487
}
],
"mentions": [],
"reference": null
},
{
"id": 1034954910078353400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 18:21:19",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1034954899642916900,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1034956889940832300,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:29:11",
"content": "So u don’t understand how they can say (a-b)^2 (a+b) (a^2 + b^2) > 0?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034957431542919200,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:31:20",
"content": "Inequalities surprisingly have a lot in common with equations",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034957661185253500,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:32:15",
"content": "Like for example, take 1+1 +1=3, subtract one on both sides, u get 1+1=2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034957708027232300,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:32:26",
"content": "But u can do the same thing with inequalities!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034957842744090800,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:32:58",
"content": "Take 1+1 <3subtract both sides by 1, u get 1 <2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034957954744586400,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:33:25",
"content": "Oh my bad",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034958101511675900,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:33:59",
"content": "So do u understand everything? Like everything resolved?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034958674050953200,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:36:16",
"content": "Googled it",
"attachments": [
{
"id": 1034958673677652000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1034958673677651988/8E4E5F66-76A1-45AF-98C2-0907F2033514.jpg",
"fileName": "8E4E5F66-76A1-45AF-98C2-0907F2033514.jpg",
"fileSizeBytes": 5878934
}
],
"mentions": [],
"reference": null
},
{
"id": 1034958855286837400,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:36:59",
"content": "Oh my bad again, lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034959001445748700,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:37:34",
"content": "So u don’t understand the triangle thingy that lookslike an upside down letter A?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034959721897132200,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:40:26",
"content": "So u don’t understand the logic of his oroof?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034959903439204400,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:41:09",
"content": "Sorry I still don’t know whatyouasking exactly",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034960523416047600,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:43:37",
"content": "I think he made a few steps of logic that he did not include",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034960578940248000,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:43:50",
"content": "But the conclusion is still sound",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034960718035951700,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:44:23",
"content": "Actually I think he doesn’t need to include the few steps of logic in between that first and second line",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034960842824888400,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:44:53",
"content": "Cuz plugging in random natural numbers will immediately lead you to know that the second line is true",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034961312414965900,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:46:45",
"content": "Natural numbers means positive numbers and no zero",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034961581831884900,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:47:49",
"content": "there’s an (a-b)^2, and anything squared is always positive no matter what",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034961688174272500,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:48:15",
"content": "There’s (a^2 + b^2), and since squared numbers are always positive, their sum should be positive",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034961883628843000,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:49:01",
"content": "And (a+b) is positive ONLY when u plug in positive numbers. HENCE, that’s why he says only natural numbers (which are positive numbers) will work",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034962068006240400,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:49:45",
"content": "But that isn’t a squared expression",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034962421393137700,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:51:09",
"content": "Oh yeah u right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034962464296685600,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:51:20",
"content": "Yes that’s always positive",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034962529111244800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 18:51:35",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
dcb9d192369544b29aa4bd66a58a4f82
|
200,377 |
[
{
"id": 1056928804767015000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 08:37:43",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056930106771255300,
"author_id": 654754061542752300,
"author_name": "Cade2icy",
"timestamp": "12/26/2022 08:42:54",
"content": "",
"attachments": [
{
"id": 1056930106402160600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056930106402160690/image.png",
"fileName": "image.png",
"fileSizeBytes": 107663
}
],
"mentions": [],
"reference": null
},
{
"id": 1056930110080565400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 08:42:55",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1056930106771255300,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1056930152539500500,
"author_id": 654754061542752300,
"author_name": "Cade2icy",
"timestamp": "12/26/2022 08:43:05",
"content": "a is 245",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056930307363852300,
"author_id": 654754061542752300,
"author_name": "Cade2icy",
"timestamp": "12/26/2022 08:43:42",
"content": "for be idk if i should work out the lower bounds of the numbers them multiply or do that to the answer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056930333569847300,
"author_id": 654754061542752300,
"author_name": "Cade2icy",
"timestamp": "12/26/2022 08:43:48",
"content": "srry if it is easy",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056933071615696900,
"author_id": 477755746499428350,
"author_name": "Azo",
"timestamp": "12/26/2022 08:54:41",
"content": "Yeah, just multiply both LB",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056933333793251500,
"author_id": 654754061542752300,
"author_name": "Cade2icy",
"timestamp": "12/26/2022 08:55:43",
"content": "ok thx",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056933643932667900,
"author_id": 654754061542752300,
"author_name": "Cade2icy",
"timestamp": "12/26/2022 08:56:57",
"content": "23.5x13.65",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056933682537050200,
"author_id": 654754061542752300,
"author_name": "Cade2icy",
"timestamp": "12/26/2022 08:57:06",
"content": "320.775",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056933686236418000,
"author_id": 654754061542752300,
"author_name": "Cade2icy",
"timestamp": "12/26/2022 08:57:07",
"content": "??",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056936555245228000,
"author_id": 654754061542752300,
"author_name": "Cade2icy",
"timestamp": "12/26/2022 09:08:31",
"content": "nvm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056936562417467500,
"author_id": 654754061542752300,
"author_name": "Cade2icy",
"timestamp": "12/26/2022 09:08:33",
"content": "i jammed",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056940338356420700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 09:23:33",
"content": "@Cade2icy Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 654754061542752300,
"name": "Cade2icy",
"discriminator": "1480",
"nickname": "Cade2icy",
"isBot": false
}
],
"reference": null
},
{
"id": 1056944114966470700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 09:38:34",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
20aef818ac97413ea887024a8744c497
|
200,378 |
[
{
"id": 1056944367308382300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 09:39:34",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056945517449457800,
"author_id": 654754061542752300,
"author_name": "Cade2icy",
"timestamp": "12/26/2022 09:44:08",
"content": "Yhh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056945521425645700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 09:44:09",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1056945517449457800,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1056946381006323700,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "12/26/2022 09:47:34",
"content": "no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056946612502540300,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "12/26/2022 09:48:29",
"content": "wot",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056949293329694700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 09:59:08",
"content": "@Cade2icy Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 654754061542752300,
"name": "Cade2icy",
"discriminator": "1480",
"nickname": "Cade2icy",
"isBot": false
}
],
"reference": null
},
{
"id": 1056949395171590100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 09:59:32",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
009013744c634eca8461f432994f429c
|
200,379 |
[
{
"id": 1056949649413505000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 10:00:33",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056951537676603400,
"author_id": 270179010669969400,
"author_name": "sentinel",
"timestamp": "12/26/2022 10:08:03",
"content": "Let's say I have matrix A and B (square transformation matrices).",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056951540784582700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 10:08:04",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1056951537676603400,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1056951553694638200,
"author_id": 270179010669969400,
"author_name": "sentinel",
"timestamp": "12/26/2022 10:08:07",
"content": "If I say, A * B",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056951598032617500,
"author_id": 270179010669969400,
"author_name": "sentinel",
"timestamp": "12/26/2022 10:08:18",
"content": "And A is a rotation matrix, and B is a rotation matrix",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056951672808689800,
"author_id": 270179010669969400,
"author_name": "sentinel",
"timestamp": "12/26/2022 10:08:36",
"content": "Would A be applied first, or B, when I were to multiply the result with a vector?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056952299706134500,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "12/26/2022 10:11:05",
"content": "first B then A",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056952321881411600,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "12/26/2022 10:11:10",
"content": "Say you have vector v to be rotated. This would be (AB)v. What does the associative property tell you?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056952340869021700,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "12/26/2022 10:11:15",
"content": "if you are doing A * B * x where x is a vector, B would be applied first",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056952401728381000,
"author_id": 270179010669969400,
"author_name": "sentinel",
"timestamp": "12/26/2022 10:11:29",
"content": "A(Bv)",
"attachments": [],
"mentions": [
{
"id": 965586576161771500,
"name": "Mikkel",
"discriminator": "0926",
"nickname": "Mikkel",
"isBot": false
}
],
"reference": null
},
{
"id": 1056952434422984800,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "12/26/2022 10:11:37",
"content": "Si",
"attachments": [],
"mentions": [
{
"id": 270179010669969400,
"name": "sentinel",
"discriminator": "5232",
"nickname": "sentinel",
"isBot": false
}
],
"reference": null
},
{
"id": 1056952474537316500,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "12/26/2022 10:11:47",
"content": "its like nesting functions, F(G(v)) would first apply G, then F",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056952499183034500,
"author_id": 270179010669969400,
"author_name": "sentinel",
"timestamp": "12/26/2022 10:11:53",
"content": "Yeah so in this case, rotation B would be applied first?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056952534935277700,
"author_id": 965586576161771500,
"author_name": "Mikkel",
"timestamp": "12/26/2022 10:12:01",
"content": "Yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056952567671828500,
"author_id": 270179010669969400,
"author_name": "sentinel",
"timestamp": "12/26/2022 10:12:09",
"content": "Oh lol that's counter-intuitive",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056952576978989000,
"author_id": 270179010669969400,
"author_name": "sentinel",
"timestamp": "12/26/2022 10:12:11",
"content": "Isn't it?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056952643521614000,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "12/26/2022 10:12:27",
"content": "if you think about them as functions/maps then no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056952695237390300,
"author_id": 270179010669969400,
"author_name": "sentinel",
"timestamp": "12/26/2022 10:12:39",
"content": "Yeah so as function",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056952754410631200,
"author_id": 270179010669969400,
"author_name": "sentinel",
"timestamp": "12/26/2022 10:12:53",
"content": "Matrices: A, B, C, D, E, would be applied in ABCDE as A(B(C(D(E))))",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056952849088647300,
"author_id": 270179010669969400,
"author_name": "sentinel",
"timestamp": "12/26/2022 10:13:16",
"content": "Then D is rotation, C is translation, it would first rotate, then translate?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056953010988789800,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "12/26/2022 10:13:55",
"content": "yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056953032270684200,
"author_id": 270179010669969400,
"author_name": "sentinel",
"timestamp": "12/26/2022 10:14:00",
"content": "thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056956808150929400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 10:29:00",
"content": "@sentinel Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 270179010669969400,
"name": "sentinel",
"discriminator": "5232",
"nickname": "sentinel",
"isBot": false
}
],
"reference": null
},
{
"id": 1056960585134264300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 10:44:00",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
083e03c6460248e9b7ecb975ac57a413
|
200,380 |
[
{
"id": 1056962164000313300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 10:50:17",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056963942838177900,
"author_id": 470723995495563260,
"author_name": "ZOOP",
"timestamp": "12/26/2022 10:57:21",
"content": ",tex How is \\(\\frac{ab}{x} = \\frac{a}{x}b?\\)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056963945329602600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 10:57:22",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1056963942838177900,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1056963951495237800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/26/2022 10:57:23",
"content": "**ZOOP**",
"attachments": [
{
"id": 1056963951348432900,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056963951348432916/470723995495563274.png",
"fileName": "470723995495563274.png",
"fileSizeBytes": 7955
}
],
"mentions": [],
"reference": null
},
{
"id": 1056964032109752400,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/26/2022 10:57:42",
"content": "Multiplication rules",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056964069636177900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/26/2022 10:57:51",
"content": "$$b = \\frac{b}{1}$$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056964080235184300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/26/2022 10:57:54",
"content": "**Umbraleviathan**",
"attachments": [
{
"id": 1056964080021282800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056964080021282827/349354952961032192.png",
"fileName": "349354952961032192.png",
"fileSizeBytes": 4476
}
],
"mentions": [],
"reference": null
},
{
"id": 1056964084836356100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/26/2022 10:57:55",
"content": "So like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056964103958180000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/26/2022 10:57:59",
"content": "Fraction multiplication",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056964212280279000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/26/2022 10:58:25",
"content": "$$\\frac{ab}{x} = \\frac{a}{x}\\cdot\\frac{b}{1} = \\frac{a}{x}b$$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056964221453217900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/26/2022 10:58:27",
"content": "**Umbraleviathan**",
"attachments": [
{
"id": 1056964221264466000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056964221264465990/349354952961032192.png",
"fileName": "349354952961032192.png",
"fileSizeBytes": 6574
}
],
"mentions": [],
"reference": null
},
{
"id": 1056964241145479200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/26/2022 10:58:32",
"content": "It's kinda crazy I know",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056964454992052200,
"author_id": 470723995495563260,
"author_name": "ZOOP",
"timestamp": "12/26/2022 10:59:23",
"content": "holdup i might be tripping right now after a studying session but isn't ab/x = a/x * b/x?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056964504749088900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "12/26/2022 10:59:35",
"content": "no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056964548109815800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "12/26/2022 10:59:45",
"content": "it isn't",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056965045243879600,
"author_id": 470723995495563260,
"author_name": "ZOOP",
"timestamp": "12/26/2022 11:01:44",
"content": "i just don't understand why aren't you dividing b by x aswell here?",
"attachments": [],
"mentions": [
{
"id": 510789298321096700,
"name": "TeXit",
"discriminator": "0796",
"nickname": "TeXit",
"isBot": true
}
],
"reference": null
},
{
"id": 1056965276664598700,
"author_id": 646026076950233100,
"author_name": "mreow",
"timestamp": "12/26/2022 11:02:39",
"content": "distributive proprierty applies only to adittion and subtraction",
"attachments": [],
"mentions": [
{
"id": 470723995495563260,
"name": "ZOOP",
"discriminator": "1664",
"nickname": "ZOOP",
"isBot": false
}
],
"reference": null
},
{
"id": 1056965572421759000,
"author_id": 646026076950233100,
"author_name": "mreow",
"timestamp": "12/26/2022 11:03:49",
"content": "`$(a+b)x=ax+bx, (ab)x \\neq ax*bx$ because if this was true you can rewrite it as $a*b*x^2, x^2\\neq x$`",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056965581988974600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/26/2022 11:03:52",
"content": "**Kel.plush**",
"attachments": [
{
"id": 1056965582026707000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056965582026706975/646026076950233107.png",
"fileName": "646026076950233107.png",
"fileSizeBytes": 29034
}
],
"mentions": [],
"reference": null
},
{
"id": 1056965646547701800,
"author_id": 646026076950233100,
"author_name": "mreow",
"timestamp": "12/26/2022 11:04:07",
"content": "same applies to division",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056965787094618200,
"author_id": 470723995495563260,
"author_name": "ZOOP",
"timestamp": "12/26/2022 11:04:41",
"content": "OHH",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056965811706806300,
"author_id": 470723995495563260,
"author_name": "ZOOP",
"timestamp": "12/26/2022 11:04:46",
"content": "I feel so incredibly stupid rn",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056965860859838500,
"author_id": 646026076950233100,
"author_name": "mreow",
"timestamp": "12/26/2022 11:04:58",
"content": "dw abt it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056966142431854700,
"author_id": 470723995495563260,
"author_name": "ZOOP",
"timestamp": "12/26/2022 11:06:05",
"content": "Thank you!!!!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056966151780970500,
"author_id": 470723995495563260,
"author_name": "ZOOP",
"timestamp": "12/26/2022 11:06:08",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056966154654072800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 11:06:08",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
402009a89d0e4c0f9b668c53d0737659
|
200,381 |
[
{
"id": 1056966470279639200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 11:07:24",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056971163097641100,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/26/2022 11:26:02",
"content": "",
"attachments": [
{
"id": 1056971163047305200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056971163047305267/image.png",
"fileName": "image.png",
"fileSizeBytes": 23706
}
],
"mentions": [],
"reference": null
},
{
"id": 1056971165731655700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 11:26:03",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1056971163097641100,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1056971250288820200,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/26/2022 11:26:23",
"content": "",
"attachments": [
{
"id": 1056971250053959800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056971250053959761/IMG20221226215608.jpg",
"fileName": "IMG20221226215608.jpg",
"fileSizeBytes": 877728
}
],
"mentions": [],
"reference": null
},
{
"id": 1056971261944803500,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/26/2022 11:26:26",
"content": "Answer should be this right?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056971326545473500,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/26/2022 11:26:41",
"content": "In necklace by convention clockwise and anticlockwise are considered same",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056973034545745900,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/26/2022 11:33:29",
"content": "Oh yes i am correct",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056973044314280100,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/26/2022 11:33:31",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056973047107686400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 11:33:32",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
13c17bb4839d4222858ae17b3c6a0900
|
200,382 |
[
{
"id": 1056973692187463700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 11:36:05",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056976562668437600,
"author_id": 961870781564985500,
"author_name": "Epic boi",
"timestamp": "12/26/2022 11:47:30",
"content": "hey",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056976566682394800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 11:47:31",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1056976562668437600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1056976662983626900,
"author_id": 961870781564985500,
"author_name": "Epic boi",
"timestamp": "12/26/2022 11:47:54",
"content": "I was wondering if you could find the √5 using binomial expansion",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056976763789512800,
"author_id": 961870781564985500,
"author_name": "Epic boi",
"timestamp": "12/26/2022 11:48:18",
"content": "cause √5 = √4+1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056976847918862500,
"author_id": 961870781564985500,
"author_name": "Epic boi",
"timestamp": "12/26/2022 11:48:38",
"content": "which is √4(1+1/4)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056976930672492500,
"author_id": 961870781564985500,
"author_name": "Epic boi",
"timestamp": "12/26/2022 11:48:57",
"content": "which is 2*(1+1/4)^1/2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056976978932158600,
"author_id": 961870781564985500,
"author_name": "Epic boi",
"timestamp": "12/26/2022 11:49:09",
"content": "can you apply binomial expansion here?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056977308637986800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/26/2022 11:50:28",
"content": "it's the same number",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056977327948578800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "12/26/2022 11:50:32",
"content": "so yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056977353294753900,
"author_id": 961870781564985500,
"author_name": "Epic boi",
"timestamp": "12/26/2022 11:50:38",
"content": "so",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056977441979117600,
"author_id": 961870781564985500,
"author_name": "Epic boi",
"timestamp": "12/26/2022 11:50:59",
"content": "k",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056977446878056600,
"author_id": 961870781564985500,
"author_name": "Epic boi",
"timestamp": "12/26/2022 11:51:01",
"content": "thx",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056977548971610200,
"author_id": 961870781564985500,
"author_name": "Epic boi",
"timestamp": "12/26/2022 11:51:25",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056977551932801200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 11:51:26",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
ef1f5c0069d44339a4a499a6f2692e6d
|
200,383 |
[
{
"id": 1056979092924272800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 11:57:33",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056979187849756800,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/26/2022 11:57:56",
"content": "",
"attachments": [
{
"id": 1056979187556167700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056979187556167700/image.png",
"fileName": "image.png",
"fileSizeBytes": 34149
}
],
"mentions": [],
"reference": null
},
{
"id": 1056979190748041200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 11:57:56",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1056979187849756800,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1056979360604753900,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/26/2022 11:58:37",
"content": "for 12a, wont we first need to do 8c2 then5!.6c2.2!>",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056979367294677100,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/26/2022 11:58:38",
"content": "?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056979525428326400,
"author_id": 398424326723862500,
"author_name": "Anand",
"timestamp": "12/26/2022 11:59:16",
"content": "circular permutations",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056979941964660700,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/26/2022 12:00:55",
"content": "The doubt isnt related to the circular part but yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056979992308883500,
"author_id": 398424326723862500,
"author_name": "Anand",
"timestamp": "12/26/2022 12:01:07",
"content": "just find the number of ways in which A and B must sit together and subtract from the total arrangements",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056980033647943800,
"author_id": 398424326723862500,
"author_name": "Anand",
"timestamp": "12/26/2022 12:01:17",
"content": "keep in mind A and B can interchange places",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056980091873267700,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/26/2022 12:01:31",
"content": "a is 5! * 4 = 120 * 4 = 480 ig",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056980107287343100,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/26/2022 12:01:35",
"content": "im not sure",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056980220881682400,
"author_id": 398424326723862500,
"author_name": "Anand",
"timestamp": "12/26/2022 12:02:02",
"content": "no of arrangements would be 7!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056980304356720600,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/26/2022 12:02:22",
"content": "oh shoot",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056980323201724400,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/26/2022 12:02:26",
"content": "sorry its 6! * 4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056980383050256400,
"author_id": 398424326723862500,
"author_name": "Anand",
"timestamp": "12/26/2022 12:02:41",
"content": "assume A and B to be a single pair then total arrangements for them is 6!*2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056980385625555000,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/26/2022 12:02:41",
"content": "no wait",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056980431599321200,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/26/2022 12:02:52",
"content": "answer is 6! * 5",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056980442596778100,
"author_id": 398424326723862500,
"author_name": "Anand",
"timestamp": "12/26/2022 12:02:55",
"content": "so ways in which they can't sit together is 7! - 6!*2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056980495688290300,
"author_id": 398424326723862500,
"author_name": "Anand",
"timestamp": "12/26/2022 12:03:07",
"content": "which is 3600",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056980525035831400,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/26/2022 12:03:14",
"content": "which is (6! * 7) - (6! * 2) = 6! * 5",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056980722868560000,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/26/2022 12:04:02",
"content": "7!-2!5! If i do this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056980754669781100,
"author_id": 398424326723862500,
"author_name": "Anand",
"timestamp": "12/26/2022 12:04:09",
"content": "do what",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056980787142086700,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/26/2022 12:04:17",
"content": "This",
"attachments": [],
"mentions": [
{
"id": 398424326723862500,
"name": "Anand",
"discriminator": "9559",
"nickname": "Anand",
"isBot": false
}
],
"reference": null
},
{
"id": 1056980835766640600,
"author_id": 398424326723862500,
"author_name": "Anand",
"timestamp": "12/26/2022 12:04:29",
"content": "how u getting 5! buddy",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056980904762937500,
"author_id": 398424326723862500,
"author_name": "Anand",
"timestamp": "12/26/2022 12:04:45",
"content": "let the 8 people be A,B,C,D,E,F,G,H",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056980967459410000,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/26/2022 12:05:00",
"content": "Yep 6! Sry",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056980968688332900,
"author_id": 398424326723862500,
"author_name": "Anand",
"timestamp": "12/26/2022 12:05:00",
"content": "when u take AB as a pair, its AB,C,D,E,F,G,H",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056980997977161900,
"author_id": 398424326723862500,
"author_name": "Anand",
"timestamp": "12/26/2022 12:05:07",
"content": "nws",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056981382921994400,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/26/2022 12:06:39",
"content": "No but the question i originally asked as well",
"attachments": [],
"mentions": [
{
"id": 398424326723862500,
"name": "Anand",
"discriminator": "9559",
"nickname": "Anand",
"isBot": false
}
],
"reference": null
},
{
"id": 1056981405596405900,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/26/2022 12:06:44",
"content": "Has nothing to do with the circular part",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056981488136102000,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/26/2022 12:07:04",
"content": "Im asking are we not supposed to choose which 2 we arent supposed to sit together",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056981496965124200,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/26/2022 12:07:06",
"content": "2nd one is 72 i think",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056981604297347100,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/26/2022 12:07:32",
"content": "It is not",
"attachments": [],
"mentions": [
{
"id": 702550180154835000,
"name": "GameSwitch",
"discriminator": "9172",
"nickname": "GameSwitch",
"isBot": false
}
],
"reference": null
},
{
"id": 1056981619661091000,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/26/2022 12:07:35",
"content": "yes you are supposed to choose that according to the question\nits just that you're removing it from the total possile ways to arrange the people",
"attachments": [],
"mentions": [
{
"id": 489120531186974700,
"name": "idontsleepanymore",
"discriminator": "8460",
"nickname": "idontsleepanymore",
"isBot": false
}
],
"reference": null
},
{
"id": 1056981647133782100,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/26/2022 12:07:42",
"content": "oof 🤦♂️",
"attachments": [],
"mentions": [
{
"id": 489120531186974700,
"name": "idontsleepanymore",
"discriminator": "8460",
"nickname": "idontsleepanymore",
"isBot": false
}
],
"reference": null
},
{
"id": 1056982199603314800,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/26/2022 12:09:54",
"content": "I think i understand the ambiguity in the case",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056982214287560700,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/26/2022 12:09:57",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056982217533947900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 12:09:58",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
805189aef2b04cae8fb73b27df8c22ea
|
200,384 |
[
{
"id": 1056982470022664200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 12:10:58",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056987579737702400,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:31:16",
"content": "Hello , can someone help me with uhhh i dont even know what its called - percentages and fractions?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056987582132650100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 12:31:17",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1056987579737702400,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1056987685346099300,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:31:42",
"content": "So lets say i am comparing proportion of smokers with ADHD to smokers without ADHD",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056987740467646500,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:31:55",
"content": "This is just random speculated numbers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056987916393525400,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:32:37",
"content": "So 1/10 people have ADHD, 4/10 people with ADHD smoke\n\n9/10 people dont have ADHD, 2/10 people without ADHD smoke",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056988227757691000,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:33:51",
"content": "So is it correct to translate it into\n0.4/1 people with ADHD smoke\n\nAnd 1.8/9 people without ADHD smoke",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056988300654678000,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:34:08",
"content": "Which results in 0.4 for first and 0.2 for second",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056988361996374100,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:34:23",
"content": "And then translate it into",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056988507308044300,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:34:58",
"content": "67% of smokers have adhd, and 33% of smokers dont have adhd?\n\nBy 0.4/0.6 for adhd smokers, and 0.2/0.6 for non adhd smokers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056988526299844600,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:35:02",
"content": "Is it correct?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056988658764357600,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/26/2022 12:35:34",
"content": "draw a tree",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056988713948807300,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:35:47",
"content": "Ahh probability tree?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056988768625758200,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/26/2022 12:36:00",
"content": "i guess you could call it that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056988960175436000,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:36:46",
"content": "Okay give me a sec!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056989662503252000,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:39:33",
"content": "Sorry i forgot how to calculate the probability of for example",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056989680308072400,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:39:37",
"content": "Something given another thing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056989689371967500,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:39:39",
"content": "Sooo",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056989731163996200,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:39:49",
"content": "Probability of Smoking, given that they have ADHD",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056989741423276200,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:39:52",
"content": "Would it be",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056989900605509600,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:40:30",
"content": "Oh sorry",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056989919496634500,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:40:34",
"content": "So my mental speculation is that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056989970356772900,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:40:46",
"content": "40% of adhd smoke",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056990024652030100,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:40:59",
"content": "So probability of Smoke given they have adhd would be 0.4 yeah?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056990250485956700,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:41:53",
"content": "",
"attachments": [
{
"id": 1056990249957466100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056990249957466152/9CDCB3F1-122E-463F-8BFE-99A24000214A.jpg",
"fileName": "9CDCB3F1-122E-463F-8BFE-99A24000214A.jpg",
"fileSizeBytes": 3743948
}
],
"mentions": [],
"reference": null
},
{
"id": 1056990466635219000,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:42:45",
"content": "Now i want to calculate",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056990481587900500,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:42:48",
"content": "How many smokers have adhd",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056990586953011300,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:43:13",
"content": "So given that they smoke, probability of Adhd?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056990628275294300,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:43:23",
"content": "How do i calculate it? 😭 i forgot",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056990805761458200,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:44:06",
"content": "I multiply A and S first?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056991255827075100,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:45:53",
"content": "",
"attachments": [
{
"id": 1056991255436988400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1056991255436988466/E2F5A628-B6D1-435D-B9C6-6B34D0D7FA4D.jpg",
"fileName": "E2F5A628-B6D1-435D-B9C6-6B34D0D7FA4D.jpg",
"fileSizeBytes": 3884326
}
],
"mentions": [],
"reference": null
},
{
"id": 1056991397061861500,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:46:27",
"content": "I believe i multiply for P( A and S)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056991431518081000,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:46:35",
"content": "But given S , how do I calculate for A?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056993738251046900,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 12:55:45",
"content": "@Helpers can someone help me?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056995146849341600,
"author_id": 1051695212663144600,
"author_name": "dragqueen946",
"timestamp": "12/26/2022 13:01:21",
"content": "Yea what you need help with?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056995206379090000,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 13:01:35",
"content": "I need help with probabilities",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056995295961022600,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 13:01:56",
"content": "I tried to work out a tree diagram as shown in above and i want to find out how i can calculate",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056995357671833600,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 13:02:11",
"content": "For example The probability of A, given S",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056995496360681600,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 13:02:44",
"content": "😭",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056995702783352800,
"author_id": 1051695212663144600,
"author_name": "dragqueen946",
"timestamp": "12/26/2022 13:03:33",
"content": "Idk if I can help with that one. I get stuck on those types",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056995833855361000,
"author_id": 1056550864715788400,
"author_name": "adz_stocks",
"timestamp": "12/26/2022 13:04:04",
"content": "You'd be better off using the conditional probability formula",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056996034485702700,
"author_id": 1056550864715788400,
"author_name": "adz_stocks",
"timestamp": "12/26/2022 13:04:52",
"content": "P(A|S)=P(A∩S)/P(S)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056996200013897900,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 13:05:32",
"content": "Ohh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056996290799603800,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 13:05:53",
"content": "So in this case",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056996330960068600,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 13:06:03",
"content": "How do i calculate the P(S)?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056996378859012100,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 13:06:14",
"content": "Do i add 0.4 and 0.2?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056996394130473000,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 13:06:18",
"content": "Or multiply?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056996516423798800,
"author_id": 1056550864715788400,
"author_name": "adz_stocks",
"timestamp": "12/26/2022 13:06:47",
"content": "Post the question so I can have a closer look at the numbers 👍🏼",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056996518026018800,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 13:06:47",
"content": "Or does the P(S) need to be given?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056996592319742100,
"author_id": 1056550864715788400,
"author_name": "adz_stocks",
"timestamp": "12/26/2022 13:07:05",
"content": "you can pm me if you like i'll have a closer look",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056996600200826900,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 13:07:07",
"content": "Its just something out of my mind :///",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056996610338463700,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 13:07:09",
"content": "Yes sure!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056999373403324700,
"author_id": 703355415932436700,
"author_name": "shinigami・†",
"timestamp": "12/26/2022 13:18:08",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1056999377702498400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 13:18:09",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
6c62e070276b496ca62dbae01aef7838
|
200,385 |
[
{
"id": 1056999628559618200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 13:19:09",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057003846032961700,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/26/2022 13:35:55",
"content": "$\\lim_{x \\to \\infty} \\left(x\\left(\\sqrt{3x^2 + 22} - \\sqrt{3x^2 + 4}\\right)\\right) \n\n= \\lim_{x \\to \\infty} \\left(\\sqrt{3x^4 + 22x^2} - \\sqrt{3x^4 + 4x^2}\\right) \n\n= \\lim_{x \\to \\infty} \\left(\\sqrt{x^4 \\cdot (3 + \\frac{22}{x^2})} - \\sqrt{x^4 \\cdot (3 + \\frac{4}{x^2}})\\right) \n\n= \\lim_{x \\to \\infty} \\left(x^2 \\cdot \\left(\\sqrt{3 + \\frac{22}{x^2}} - \\sqrt{3 + \\frac{4}{x^2}}\\right)\\right)$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057003849002532900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 13:35:55",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057003846032961700,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057004119249932400,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/26/2022 13:37:00",
"content": "",
"attachments": [
{
"id": 1057004119036006500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057004119036006470/image.png",
"fileName": "image.png",
"fileSizeBytes": 76954
}
],
"mentions": [],
"reference": null
},
{
"id": 1057004166679113700,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/26/2022 13:37:11",
"content": "How would you proceed from here?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057004403749568600,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/26/2022 13:38:08",
"content": "x^2 goes to infinity and the difference to 0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057004538177015800,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "12/26/2022 13:38:40",
"content": "Yeah start over",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057004586352779300,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "12/26/2022 13:38:51",
"content": "And multiply and divide by the conjugate",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057005073047240800,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/26/2022 13:40:47",
"content": "Thanks, it seems that you can still multiply by the conjugate at the end and it works out",
"attachments": [],
"mentions": [
{
"id": 265853506664136700,
"name": "ScapeProf",
"discriminator": "9427",
"nickname": "ScapeProf",
"isBot": false
}
],
"reference": null
},
{
"id": 1057005143830302800,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/26/2022 13:41:04",
"content": "Thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057005147252859000,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/26/2022 13:41:05",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057005150381809700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 13:41:06",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
8473f80036e24eaeb421627e4a5b4ced
|
200,386 |
[
{
"id": 1057005749542338600,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/26/2022 13:43:28",
"content": ".reopen",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057005756894953500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 13:43:30",
"content": "✅",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057005987422281700,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/26/2022 13:44:25",
"content": "How did you see that you have to do that? Did the difference hint towards it?",
"attachments": [],
"mentions": [
{
"id": 265853506664136700,
"name": "ScapeProf",
"discriminator": "9427",
"nickname": "ScapeProf",
"isBot": false
}
],
"reference": null
},
{
"id": 1057006852442947600,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "12/26/2022 13:47:51",
"content": "Generally doing that helps with limits with square roots",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057007830734999600,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/26/2022 13:51:45",
"content": "thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057007834610536600,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/26/2022 13:51:46",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057007837676589200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 13:51:46",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
d3ce77614d3d4008afe0127b2e374678
|
200,387 |
[
{
"id": 1034962531434901500,
"author_id": 408720262368854000,
"author_name": "❤ Pauli Excluder ❤",
"timestamp": "10/26/2022 18:51:36",
"content": "Not really assuming tho",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034962796800127100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 18:52:39",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034967709596790800,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:12:10",
"content": "",
"attachments": [
{
"id": 1034967709273825400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1034967709273825350/155.PNG",
"fileName": "155.PNG",
"fileSizeBytes": 5681
}
],
"mentions": [],
"reference": null
},
{
"id": 1034967725195403300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 19:12:14",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1034967709596790800,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1034967736650047600,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:12:17",
"content": "I don't understand this one up top",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034967761778114600,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:12:23",
"content": "",
"attachments": [
{
"id": 1034967761409028100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1034967761409028146/166.PNG",
"fileName": "166.PNG",
"fileSizeBytes": 6631
}
],
"mentions": [],
"reference": null
},
{
"id": 1034967791939358800,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:12:30",
"content": "I get the bottom one tho",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034967916245950600,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:13:00",
"content": "ok so to solve for the top one you have to use the unit circle",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034968159922434000,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:13:58",
"content": "ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034968214905552900,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:14:11",
"content": "set 2Θ=u",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034968293699768300,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:14:29",
"content": "what's u?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034968323223470100,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:14:37",
"content": "and draw the corresponding triangle for sin(u)=-sqrt(3)/2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034968372288442400,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:14:48",
"content": "random variable that just represents 2Θ",
"attachments": [],
"mentions": [
{
"id": 660317791232196600,
"name": "Smashfielder",
"discriminator": "3636",
"nickname": "Smashfielder",
"isBot": false
}
],
"reference": null
},
{
"id": 1034968626316451800,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:15:49",
"content": "bro im lost rn..",
"attachments": [],
"mentions": [
{
"id": 537518515398377500,
"name": "cornflakeswithsalt",
"discriminator": "6989",
"nickname": "cornflakeswithsalt",
"isBot": false
}
],
"reference": null
},
{
"id": 1034968648705650700,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:15:54",
"content": "ok nevermind",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034968714136797200,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:16:10",
"content": "do you know how to draw a triangle for sin(-sqrt(3)/2)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034968911365558300,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:16:57",
"content": "no...",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034968958161387500,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:17:08",
"content": "ok do you know SOH CAH TOA",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034969044090097700,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:17:28",
"content": "im just trying to gauge what you know so that I can help you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034969310860419100,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:18:32",
"content": "Like for the bottom example, ik that u would go and find all the times sinx=1/2 then u would write the radian down and ur final answer would look something like 2pi/3 +2npi for the first one",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034969382679490600,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:18:49",
"content": "ya",
"attachments": [],
"mentions": [
{
"id": 537518515398377500,
"name": "cornflakeswithsalt",
"discriminator": "6989",
"nickname": "cornflakeswithsalt",
"isBot": false
}
],
"reference": null
},
{
"id": 1034969435557085200,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:19:02",
"content": "ok so for -sqrt(3)/2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034969457547825300,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:19:07",
"content": "thats SOH",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034969482738798600,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:19:13",
"content": "so its opposite over hypotenuse",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034969493035827200,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:19:15",
"content": "ya",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034969732085973100,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:20:12",
"content": "that means that the opposite side of the angle(or the height of the triangle) is -sqrt(3)/2 and the the hypotenuse is one",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034969791993221100,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:20:27",
"content": "do you have a unit circle",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034969810599161900,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:20:31",
"content": "ya",
"attachments": [],
"mentions": [
{
"id": 537518515398377500,
"name": "cornflakeswithsalt",
"discriminator": "6989",
"nickname": "cornflakeswithsalt",
"isBot": false
}
],
"reference": null
},
{
"id": 1034969831864287400,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:20:36",
"content": "ok use that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034969907525328900,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:20:54",
"content": "find the angles where the height of the triangle is -sqrt(3)/2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034970049393467500,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:21:28",
"content": "so i find where -sqrt 3/2 is in the sin spot on the unit circle?",
"attachments": [],
"mentions": [
{
"id": 537518515398377500,
"name": "cornflakeswithsalt",
"discriminator": "6989",
"nickname": "cornflakeswithsalt",
"isBot": false
}
],
"reference": null
},
{
"id": 1034970071967215700,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:21:33",
"content": "so it has to be in the y value",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034970073187754000,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:21:34",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034970088153043100,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:21:37",
"content": "yep",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034970114715553900,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:21:44",
"content": "ok one sec",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034970244529258500,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:22:15",
"content": "ok i got them",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034970444824055800,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:23:02",
"content": "",
"attachments": [
{
"id": 1034970444488519800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1034970444488519800/11111.PNG",
"fileName": "11111.PNG",
"fileSizeBytes": 48925
}
],
"mentions": [
{
"id": 537518515398377500,
"name": "cornflakeswithsalt",
"discriminator": "6989",
"nickname": "cornflakeswithsalt",
"isBot": false
}
],
"reference": null
},
{
"id": 1034970511026962600,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:23:18",
"content": "in the example it gives it says this.... idk",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034970575346610200,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:23:33",
"content": "bc like rn we got the first part down like in the example",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034970614907289600,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:23:43",
"content": "yea you have to divide by 2 because it's sin(2Θ)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034970654606360600,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:23:52",
"content": "so to find Θ you have to divide by 2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034970799796400100,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:24:27",
"content": "ya the dividing is where i get confused",
"attachments": [],
"mentions": [
{
"id": 537518515398377500,
"name": "cornflakeswithsalt",
"discriminator": "6989",
"nickname": "cornflakeswithsalt",
"isBot": false
}
],
"reference": null
},
{
"id": 1034971091019518000,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:25:36",
"content": "like would i just multiply all the values by 1/2?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034971121734398000,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:25:44",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034971311660867600,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:26:29",
"content": "because if you think about it when you find the angles where the sin value is -sqrt(3)/2 those are satisfying the equation sin(x)=-sqrt(3)/2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034971356539920500,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:26:40",
"content": "and x=2Θ",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034971408452812800,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:26:52",
"content": "and you're solving for Θ so Θ=x/2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034971484558471200,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:27:10",
"content": "k",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034971624245559400,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:27:44",
"content": "",
"attachments": [
{
"id": 1034971623905837000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1034971623905837106/2222.PNG",
"fileName": "2222.PNG",
"fileSizeBytes": 35522
}
],
"mentions": [],
"reference": null
},
{
"id": 1034971693732593700,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:28:00",
"content": "now in the next part in the example it says something about plugging in all these numbers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034971734262161500,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:28:10",
"content": "idk where they got all those numbers from",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034972472845553700,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:31:06",
"content": "so basically",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034972502021132300,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:31:13",
"content": "when you got the original answer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034972529485418500,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:31:19",
"content": "before you divide by 2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034972635081216000,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:31:45",
"content": "you actually have to add (2pi)k to the answer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034972665770954800,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:31:52",
"content": "so if the answer is pi/2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034972761258479600,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:32:15",
"content": "the whole answer is pi/2+(2pi)k",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034972788190089200,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:32:21",
"content": "ya ya",
"attachments": [],
"mentions": [
{
"id": 537518515398377500,
"name": "cornflakeswithsalt",
"discriminator": "6989",
"nickname": "cornflakeswithsalt",
"isBot": false
}
],
"reference": null
},
{
"id": 1034972851637329900,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:32:36",
"content": "and then you have to divide by 2 so the answer would be pi/4 + (pi)k",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034972899032965200,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:32:47",
"content": "ya got that",
"attachments": [],
"mentions": [
{
"id": 537518515398377500,
"name": "cornflakeswithsalt",
"discriminator": "6989",
"nickname": "cornflakeswithsalt",
"isBot": false
}
],
"reference": null
},
{
"id": 1034972952267075600,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:33:00",
"content": "and if you remember originially there were 2 answers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034972969866367000,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:33:04",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034972986928795800,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:33:08",
"content": "in between zero and 2pi",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034973317322518700,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:34:27",
"content": "those answers correspond to angles and the answer is half of that angle",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034973469923885000,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:35:04",
"content": "and when you add 2pi that gives you redundant answers but when you divide those redundant numbers by 2, they become less than 2pi and theyre not redundant anymore",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034973514534498400,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:35:14",
"content": "that's what they mean by plugging in values of k",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034973636223832200,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:35:43",
"content": "so when you get an answer like pi/2+(pi)k",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034973716402159700,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:36:02",
"content": "you plug in values of k starting at 0 and going up until the result is more than 2pi",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034973741773488100,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:36:08",
"content": "once its more than 2pi you stop",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034973893468889100,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:36:45",
"content": "i actually have to go eat dinner but maybe we can get someone in here that can explain a little better than me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034973940675793000,
"author_id": 537518515398377500,
"author_name": "cornflakeswithsalt",
"timestamp": "10/26/2022 19:36:56",
"content": "@Helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034974119021781000,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:37:38",
"content": "alr i appreciate ur help a lot bro",
"attachments": [],
"mentions": [
{
"id": 537518515398377500,
"name": "cornflakeswithsalt",
"discriminator": "6989",
"nickname": "cornflakeswithsalt",
"isBot": false
}
],
"reference": null
},
{
"id": 1034974131227197600,
"author_id": 660317791232196600,
"author_name": "Smashfielder",
"timestamp": "10/26/2022 19:37:41",
"content": "have a good dinner",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034977906948055000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 19:52:41",
"content": "@Smashfielder Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 660317791232196600,
"name": "Smashfielder",
"discriminator": "3636",
"nickname": "Smashfielder",
"isBot": false
}
],
"reference": null
},
{
"id": 1034981683671347200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 20:07:42",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
326f935a3ee64221acf99f42f8d37975
|
200,388 |
[
{
"id": 1057020792719802500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 14:43:15",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057025471860183200,
"author_id": 577508827948384300,
"author_name": "Von Krieger",
"timestamp": "12/26/2022 15:01:51",
"content": "",
"attachments": [
{
"id": 1057025471415603200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057025471415603200/Capture.PNG",
"fileName": "Capture.PNG",
"fileSizeBytes": 36582
}
],
"mentions": [],
"reference": null
},
{
"id": 1057025474636808300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 15:01:51",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057025471860183200,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057027081944444900,
"author_id": 530233751452647400,
"author_name": "dragonsam",
"timestamp": "12/26/2022 15:08:14",
"content": "which part do you not understand",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057029248059195500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 15:16:51",
"content": "@Von Krieger Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 577508827948384300,
"name": "Von Krieger",
"discriminator": "7345",
"nickname": "Von Krieger",
"isBot": false
}
],
"reference": null
},
{
"id": 1057033025243844600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 15:31:51",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
db4004cd0d4b4dfe8f801c890d4bfbf0
|
200,389 |
[
{
"id": 1057050479441477800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 16:41:13",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057058695734886400,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:13:52",
"content": "",
"attachments": [
{
"id": 1057058695441293400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057058695441293432/Screenshot_2022-12-26_at_2.11.17_PM.png",
"fileName": "Screenshot_2022-12-26_at_2.11.17_PM.png",
"fileSizeBytes": 488632
}
],
"mentions": [],
"reference": null
},
{
"id": 1057058698062737400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 17:13:52",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057058695734886400,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057058703506939900,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:13:54",
"content": "help me please",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057058770158624800,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:14:10",
"content": "how can you use trig on non right angle triangles",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057058900735709200,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "12/26/2022 17:14:41",
"content": "You use stuff like the sin law and cosine law",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057058908180590700,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:14:42",
"content": "i thought you couldn't",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057058930880168100,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:14:48",
"content": "oh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057058954666061800,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "12/26/2022 17:14:53",
"content": "Your paper uses the sin law",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057059095653404900,
"author_id": 877125561368051700,
"author_name": "okokokok",
"timestamp": "12/26/2022 17:15:27",
"content": "",
"attachments": [
{
"id": 1057059095363993700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057059095363993680/Screenshot_20221226-230911.jpg",
"fileName": "Screenshot_20221226-230911.jpg",
"fileSizeBytes": 10185
}
],
"mentions": [],
"reference": null
},
{
"id": 1057059114297065600,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:15:32",
"content": "i thought you could only use it on 90 degree triangles",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057059156361740300,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "12/26/2022 17:15:42",
"content": "It's occupied",
"attachments": [],
"mentions": [
{
"id": 877125561368051700,
"name": "okokokok",
"discriminator": "2894",
"nickname": "okokokok",
"isBot": false
}
],
"reference": null
},
{
"id": 1057059162669981700,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:15:43",
"content": "i don't see any right triangles here",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057059193493921900,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "12/26/2022 17:15:50",
"content": "sin law? Nope. Any triangles.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057059226301776000,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:15:58",
"content": "oooooooooooooooooo",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057059241493549000,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:16:02",
"content": "that was the issue for me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057059253296312400,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:16:05",
"content": "i was dumb",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057059335030710400,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:16:24",
"content": "so soh cah toa can be used on any triangle?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057059357793210400,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "12/26/2022 17:16:30",
"content": "No not that lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057059369633714300,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:16:32",
"content": "ooooh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057059390563295200,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:16:37",
"content": "hmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057059413887819900,
"author_id": 877125561368051700,
"author_name": "okokokok",
"timestamp": "12/26/2022 17:16:43",
"content": "And?",
"attachments": [],
"mentions": [
{
"id": 485164773647056900,
"name": "Gooaaa",
"discriminator": "5829",
"nickname": "Fucktalogist",
"isBot": false
}
],
"reference": null
},
{
"id": 1057059474797510800,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "12/26/2022 17:16:58",
"content": "Open an unoccupied one",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057059544993374200,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:17:14",
"content": "so Soh Cah Toa is different from sin, cos, tan laws?",
"attachments": [],
"mentions": [
{
"id": 356908116429897700,
"name": "Kaynex",
"discriminator": "7520",
"nickname": "Kaynex",
"isBot": false
}
],
"reference": null
},
{
"id": 1057059560873001100,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "12/26/2022 17:17:18",
"content": "soh cah toa is right triangles. sin law is not",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057059724228571300,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "12/26/2022 17:17:57",
"content": "Make sure to see the sin law if you haven't yet\nhttps://www.mathsisfun.com/algebra/trig-sine-law.html",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057059740724777100,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:18:01",
"content": "",
"attachments": [
{
"id": 1057059740770910300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057059740770910290/maxresdefault.png",
"fileName": "maxresdefault.png",
"fileSizeBytes": 258199
}
],
"mentions": [],
"reference": null
},
{
"id": 1057059778603532400,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:18:10",
"content": "what are those lower case a b c referring to?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057059800690741200,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:18:15",
"content": "i don't see those on the diagram",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057059844118556800,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "12/26/2022 17:18:26",
"content": "Agreed lol that's dumb",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057059890394316800,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "12/26/2022 17:18:37",
"content": "a is a side. A is the angle opposite from side a",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057059954705563600,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:18:52",
"content": "",
"attachments": [
{
"id": 1057059954374222000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057059954374221945/triangle-law-of-sines.png",
"fileName": "triangle-law-of-sines.png",
"fileSizeBytes": 61293
}
],
"mentions": [],
"reference": null
},
{
"id": 1057059967418519700,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:18:55",
"content": "umm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057059977291903000,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:18:57",
"content": "hold on",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057060010397536300,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:19:05",
"content": "",
"attachments": [
{
"id": 1057060010242351100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057060010242351114/Screenshot_2022-12-26_at_2.19.01_PM.png",
"fileName": "Screenshot_2022-12-26_at_2.19.01_PM.png",
"fileSizeBytes": 150092
}
],
"mentions": [],
"reference": null
},
{
"id": 1057060013857849500,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:19:06",
"content": "this is better",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057060127011778700,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:19:33",
"content": "ooooooh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057060219806552200,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:19:55",
"content": "interesting",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057060327461748700,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:20:21",
"content": "so",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057060446164746400,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:20:49",
"content": "on any triangle, the sin of the opposite angle of a side is the same as to other sides?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057060489936502900,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:21:00",
"content": "idk if i worded it good",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057060765670060000,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/26/2022 17:22:05",
"content": "the ratio of a side and the sinus of the opposing angle is equal to all the other pairs",
"attachments": [],
"mentions": [
{
"id": 755093070311194800,
"name": "Snowball",
"discriminator": "7777",
"nickname": "Snowball",
"isBot": false
}
],
"reference": null
},
{
"id": 1057060803519455400,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/26/2022 17:22:14",
"content": "in that sense yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057060820246335600,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:22:18",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057060833592615000,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:22:21",
"content": "thats what i meant i think",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057060847844860000,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:22:25",
"content": "thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057060912709775400,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:22:40",
"content": "alright now i know sin rule thank you guys",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057060917612920800,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:22:42",
"content": "🙂",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057060963712516100,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:22:52",
"content": "that was helpful",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057060976886820900,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "12/26/2022 17:22:56",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057060979822821500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 17:22:56",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
771db7e197744f728968283b9c641b43
|
200,390 |
[
{
"id": 1057061232479310000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 17:23:57",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057064906026926100,
"author_id": 270179010669969400,
"author_name": "sentinel",
"timestamp": "12/26/2022 17:38:32",
"content": "Hey! How should I compute this?",
"attachments": [
{
"id": 1057064905724932100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057064905724932107/image.png",
"fileName": "image.png",
"fileSizeBytes": 22558
}
],
"mentions": [],
"reference": null
},
{
"id": 1057064909143289900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 17:38:33",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057064906026926100,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057064933226991700,
"author_id": 270179010669969400,
"author_name": "sentinel",
"timestamp": "12/26/2022 17:38:39",
"content": "Should I just multiply them from left-to-right?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057065230959640700,
"author_id": 986731079673204700,
"author_name": "black_couscous",
"timestamp": "12/26/2022 17:39:50",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057067974617485300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/26/2022 17:50:44",
"content": "Right to left is also acceptable",
"attachments": [],
"mentions": [
{
"id": 270179010669969400,
"name": "sentinel",
"discriminator": "5232",
"nickname": "sentinel",
"isBot": false
}
],
"reference": null
},
{
"id": 1057068071975657500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/26/2022 17:51:07",
"content": "Matrix multiplication is associative so the order doesn't matter",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057069331499978900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 17:56:08",
"content": "@sentinel Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 270179010669969400,
"name": "sentinel",
"discriminator": "5232",
"nickname": "sentinel",
"isBot": false
}
],
"reference": null
},
{
"id": 1057072549407768600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 18:08:55",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
c83bf65f82c44429ac84c7c202be82be
|
200,391 |
[
{
"id": 1057072804551475200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 18:09:56",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057072882183852000,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/26/2022 18:10:14",
"content": "need some help integrating plz",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057072884658475100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 18:10:15",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057072882183852000,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057072923388690600,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/26/2022 18:10:24",
"content": "",
"attachments": [
{
"id": 1057072923577430000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057072923577430016/image.png",
"fileName": "image.png",
"fileSizeBytes": 356406
}
],
"mentions": [],
"reference": null
},
{
"id": 1057073225173053600,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/26/2022 18:11:36",
"content": "Maybe convert the last one to cosec and cot?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057073233788149900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/26/2022 18:11:38",
"content": "tan = sin/cos",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057073792859512800,
"author_id": 736969997795983500,
"author_name": "Bubbles",
"timestamp": "12/26/2022 18:13:51",
"content": "yeah so tis 1/sin",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057073796659564700,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/26/2022 18:13:52",
"content": "think i got it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057073857674104800,
"author_id": 736969997795983500,
"author_name": "Bubbles",
"timestamp": "12/26/2022 18:14:07",
"content": "or smth my brain died",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057076251191431200,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/26/2022 18:23:37",
"content": "",
"attachments": [
{
"id": 1057076250977513500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057076250977513532/image.png",
"fileName": "image.png",
"fileSizeBytes": 106383
}
],
"mentions": [],
"reference": null
},
{
"id": 1057076273328967700,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/26/2022 18:23:43",
"content": "thats the answer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057076279351980000,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/26/2022 18:23:44",
"content": "suiii",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057076294099153000,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/26/2022 18:23:48",
"content": "that was hard damn",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057079542373679100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/26/2022 18:36:42",
"content": ",w int 1/(x^2 sqrt(1+x^2))",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057079554507804700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/26/2022 18:36:45",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057079622568788100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/26/2022 18:37:01",
"content": "💥",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057080881799512000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 18:42:01",
"content": "@SA2017 Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 849961886874730500,
"name": "SA2017",
"discriminator": "0103",
"nickname": "SA2017",
"isBot": false
}
],
"reference": null
},
{
"id": 1057081548903563400,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "12/26/2022 18:44:40",
"content": "SUIIIIIIII",
"attachments": [],
"mentions": [
{
"id": 261933205387477000,
"name": "riemann",
"discriminator": "2529",
"nickname": "riemann",
"isBot": false
}
],
"reference": null
},
{
"id": 1057084658875117700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/26/2022 18:57:02",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
f6025d9cc99642caa4aba5e12a3a7d90
|
200,392 |
[
{
"id": 1057193174575108100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 02:08:14",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057205773882622100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 02:58:18",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057205769717690400,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057205779368792000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 02:58:19",
"content": null,
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057206029173145600,
"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "12/27/2022 02:59:19",
"content": ":devastation:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057207935027130500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 03:06:53",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
7506eabdc2de4d368082d3f59e4dd0bc
|
200,393 |
[
{
"id": 1057208299507941400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 03:08:20",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057208528399511600,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "12/27/2022 03:09:15",
"content": "",
"attachments": [
{
"id": 1057208528189784000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057208528189784084/rn_image_picker_lib_temp_7f392ead-a361-4183-9c3d-771a3c204a3d.jpg",
"fileName": "rn_image_picker_lib_temp_7f392ead-a361-4183-9c3d-771a3c204a3d.jpg",
"fileSizeBytes": 1093335
}
],
"mentions": [],
"reference": null
},
{
"id": 1057208531037724700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 03:09:15",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057208528399511600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057208798273605600,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "12/27/2022 03:10:19",
"content": "guys someone explain me the 3rd step of the question below art 176",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057212574275469300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 03:25:19",
"content": "@Night Wølf Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 701043425029652600,
"name": "Night Wølf",
"discriminator": "0476",
"nickname": "Night Wølf",
"isBot": false
}
],
"reference": null
},
{
"id": 1057214293403254800,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/27/2022 03:32:09",
"content": "First term in curly brackets is $\\binom{n-1}{0}$, second is $\\binom{n-1}{1}$, third $\\binom{n-1}{2}$ etc",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057214304723664900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 03:32:12",
"content": "**chartbit**",
"attachments": [
{
"id": 1057214304505581600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057214304505581568/788085606483361802.png",
"fileName": "788085606483361802.png",
"fileSizeBytes": 34543
}
],
"mentions": [],
"reference": null
},
{
"id": 1057214454451929100,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/27/2022 03:32:48",
"content": "There being n terms in those brackets total",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057216350952624300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 03:40:20",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
2a9d34b2d9764d889f584a31f7da9b54
|
200,394 |
[
{
"id": 1057271058845159400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 07:17:43",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057271659855360000,
"author_id": 829398019455320000,
"author_name": "angel.",
"timestamp": "12/27/2022 07:20:06",
"content": "",
"attachments": [
{
"id": 1057271659423350800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057271659423350804/IMG_2416.png",
"fileName": "IMG_2416.png",
"fileSizeBytes": 93560
},
{
"id": 1057271659658236000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057271659658236014/IMG_2415.png",
"fileName": "IMG_2415.png",
"fileSizeBytes": 438783
}
],
"mentions": [],
"reference": null
},
{
"id": 1057271662598430700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 07:20:07",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057271659855360000,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057271678893293600,
"author_id": 829398019455320000,
"author_name": "angel.",
"timestamp": "12/27/2022 07:20:11",
"content": "could someone explain the blue part",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057271867674738700,
"author_id": 829398019455320000,
"author_name": "angel.",
"timestamp": "12/27/2022 07:20:56",
"content": "« given is the function « \n\n(c) show that f(2) < e + 3/2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057273677768556500,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 07:28:07",
"content": "$f(2) = \\sum_{n=0}^{\\infty} \\frac{2^n 2^{\\frac{n(1-n)}{2}}}{n!}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057273686589194400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 07:28:10",
"content": "**Ｈｅｒｅｌｓ**",
"attachments": [
{
"id": 1057273686404632700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057273686404632647/411882877933060109.png",
"fileName": "411882877933060109.png",
"fileSizeBytes": 11795
}
],
"mentions": [],
"reference": null
},
{
"id": 1057274368310390900,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 07:30:52",
"content": "$f(2) = \\sum_{n=0}^{\\infty} \\frac{2^{\\frac{2n + n(1-n)}{2}}}{n!}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057274376984219600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 07:30:54",
"content": "**Ｈｅｒｅｌｓ**",
"attachments": [
{
"id": 1057274376812245000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057274376812245042/411882877933060109.png",
"fileName": "411882877933060109.png",
"fileSizeBytes": 11265
}
],
"mentions": [],
"reference": null
},
{
"id": 1057274733269372900,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 07:32:19",
"content": "$\\sum_{n=0}^{\\infty} \\frac{2^{\\frac{3n-n^2}{2}}}{n!}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057274743394410600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 07:32:22",
"content": "**Ｈｅｒｅｌｓ**",
"attachments": [
{
"id": 1057274743084036100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057274743084036116/411882877933060109.png",
"fileName": "411882877933060109.png",
"fileSizeBytes": 10284
}
],
"mentions": [],
"reference": null
},
{
"id": 1057274998240329700,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 07:33:22",
"content": "now $e = \\sum_{n=0}^{\\infty} \\frac{1}{n!}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057275074706669600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 07:33:41",
"content": "**Ｈｅｒｅｌｓ**",
"attachments": [
{
"id": 1057275074509557900,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057275074509557850/411882877933060109.png",
"fileName": "411882877933060109.png",
"fileSizeBytes": 9084
}
],
"mentions": [],
"reference": null
},
{
"id": 1057275862661206100,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 07:36:48",
"content": "$f(2) - e = \\sum_{n=0}^{\\infty} \\frac{2^{\\frac{3n-n^2}{2}}}{n!} - \\sum_{n=0}^{\\infty} \\frac{1}{n!}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057275873746767900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 07:36:51",
"content": "**Ｈｅｒｅｌｓ**",
"attachments": [
{
"id": 1057275873704820700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057275873704820766/411882877933060109.png",
"fileName": "411882877933060109.png",
"fileSizeBytes": 14580
}
],
"mentions": [],
"reference": null
},
{
"id": 1057276422571434000,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 07:39:02",
"content": "$f(2) - e = \\sum_{n=0}^{\\infty} \\frac{1}{n!} \\left(2^{\\frac{3n-n^2}{2}} - 1 \\right)$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057276431568224300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 07:39:04",
"content": "**Ｈｅｒｅｌｓ**",
"attachments": [
{
"id": 1057276431350108300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057276431350108260/411882877933060109.png",
"fileName": "411882877933060109.png",
"fileSizeBytes": 14407
}
],
"mentions": [],
"reference": null
},
{
"id": 1057276791917650000,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 07:40:30",
"content": "🤔",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057276902643089400,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 07:40:56",
"content": "how to bound this by 3/2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057277406592893000,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 07:42:56",
"content": "well at infinity (2^{blablabla}- 1) is equivalent to 2^{blablabla}",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057277738404298800,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 07:44:16",
"content": "$f(2) - e \\leq \\sum_{n=0}^{\\infty} \\frac{2^{\\frac{3n-n^2}{2}}}{n!} \\leq \\sum_{n=0}^{\\infty} \\frac{1}{n! 2^{\\frac{n^2}{2}}}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057278378652225500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 07:46:48",
"content": "**Ｈｅｒｅｌｓ**",
"attachments": [
{
"id": 1057278378455081000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057278378455080981/411882877933060109.png",
"fileName": "411882877933060109.png",
"fileSizeBytes": 18980
}
],
"mentions": [],
"reference": null
},
{
"id": 1057278961077465200,
"author_id": 829398019455320000,
"author_name": "angel.",
"timestamp": "12/27/2022 07:49:07",
"content": "question,, how did we go from « = « to « <= «",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057279172592021500,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 07:49:58",
"content": "its obvious that 2^{(3n-n^2)/2} - 1 <= 2^{(3n-n^2)}",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057279327915495400,
"author_id": 829398019455320000,
"author_name": "angel.",
"timestamp": "12/27/2022 07:50:35",
"content": "ohh yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057281470072377300,
"author_id": 829398019455320000,
"author_name": "angel.",
"timestamp": "12/27/2022 07:59:05",
"content": "have you found this yet by any chance?..",
"attachments": [],
"mentions": [
{
"id": 411882877933060100,
"name": "Ｈｅｒｅｌｓ",
"discriminator": "1420",
"nickname": "Ｈｅｒｅｌｓ",
"isBot": false
}
],
"reference": null
},
{
"id": 1057281512996872200,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 07:59:16",
"content": "im thinking rn",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057281561428492300,
"author_id": 829398019455320000,
"author_name": "angel.",
"timestamp": "12/27/2022 07:59:27",
"content": "okay thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057283122984648800,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:05:39",
"content": "$\\sum_{n=0}^{\\infty} \\frac{1}{n!} \\frac{1}{2^{\\frac{n^2}{2}}}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057283133088731100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 08:05:42",
"content": "**Ｈｅｒｅｌｓ**",
"attachments": [
{
"id": 1057283132879011800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057283132879011850/411882877933060109.png",
"fileName": "411882877933060109.png",
"fileSizeBytes": 9982
}
],
"mentions": [],
"reference": null
},
{
"id": 1057283182527008800,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:05:54",
"content": "🤔",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057284349717909600,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:10:32",
"content": "Is it true that : \n$\\sum u_n v_n \\leq \\sum u_n \\sum v_n$ ?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057284358614036600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 08:10:34",
"content": "**Ｈｅｒｅｌｓ**",
"attachments": [
{
"id": 1057284358454661100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057284358454661123/411882877933060109.png",
"fileName": "411882877933060109.png",
"fileSizeBytes": 13544
}
],
"mentions": [],
"reference": null
},
{
"id": 1057284385830883300,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:10:40",
"content": "@Helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057284699615154200,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:11:55",
"content": "maybe cauchy schwarz should be the way",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057284746104815600,
"author_id": 1003345267946426500,
"author_name": "genhugs",
"timestamp": "12/27/2022 08:12:06",
"content": "Why are you all so good at this?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057285173265322000,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:13:48",
"content": "$\\sum_{n=0}^{\\infty} \\frac{1}{n!} \\frac{1}{2^{\\frac{n^2}{2}}} \\leq \\left( \\sum_{n=0}^{\\infty} \\frac{1}{n!^2} \\right)^{\\frac{1}{2}} \\left(\\sum_{n=0}^{\\infty} \\frac{1}{2^{n^2}} \\right)^{\\frac{1}{2}}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057285523816857700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 08:15:12",
"content": "**Ｈｅｒｅｌｓ**",
"attachments": [
{
"id": 1057285523607130200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057285523607130222/411882877933060109.png",
"fileName": "411882877933060109.png",
"fileSizeBytes": 19774
}
],
"mentions": [],
"reference": null
},
{
"id": 1057286432621862900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 08:18:48",
"content": "@angel. Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 829398019455320000,
"name": "angel.",
"discriminator": "5120",
"nickname": "angel.",
"isBot": false
}
],
"reference": null
},
{
"id": 1057286648259428400,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:19:40",
"content": ",w \\sum_{n=0}^{\\infty} \\frac{1}{n!^2}",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057286660628418700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 08:19:43",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057286694166089700,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:19:51",
"content": "Jesus christ",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057286732359413900,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:20:00",
"content": "well no need to calculate",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057287120852627600,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:21:33",
"content": "$\\sum_{n=0}^{\\infty} \\frac{1}{n!} \\frac{1}{2^{\\frac{n^2}{2}}} \\leq \\left( \\sum_{n=0}^{\\infty} \\frac{1}{n!^2} \\right)^{\\frac{1}{2}} \\left(\\sum_{n=0}^{\\infty} \\frac{1}{2^{n^2}} \\right)^{\\frac{1}{2}} \\leq \\left( \\sum_{n=0}^{\\infty} \\frac{1}{n!} \\right)^{\\frac{1}{2}} \\left( \\sum_{n=0}^{\\infty} \\frac{1}{2^n} \\right)^{\\frac{1}{2}}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057287174514544600,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:21:45",
"content": "I hope you see why",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057287291854401700,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:22:13",
"content": "now I want to get rid of those sqrt",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057287300951846900,
"author_id": 829398019455320000,
"author_name": "angel.",
"timestamp": "12/27/2022 08:22:15",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057287395160105000,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:22:38",
"content": "oh wait I wrote it wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057287521807106000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 08:23:08",
"content": "**Ｈｅｒｅｌｓ**",
"attachments": [
{
"id": 1057287521559658600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057287521559658607/411882877933060109.png",
"fileName": "411882877933060109.png",
"fileSizeBytes": 31279
}
],
"mentions": [],
"reference": null
},
{
"id": 1057287554744975400,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:23:16",
"content": "yea now its easier",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057287625943306400,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:23:33",
"content": ",w \\sum_{n=0}^{\\infty} \\frac{1}{2^n}",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057287634617114800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 08:23:35",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057287793807720400,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:24:13",
"content": "$\\sum_{n=0}^{\\infty} \\frac{1}{n!} \\frac{1}{2^{\\frac{n^2}{2}}} \\leq \\left( \\sum_{n=0}^{\\infty} \\frac{1}{n!^2} \\right)^{\\frac{1}{2}} \\left(\\sum_{n=0}^{\\infty} \\frac{1}{2^{n^2}} \\right)^{\\frac{1}{2}} \\leq \\left( \\sum_{n=0}^{\\infty} \\frac{1}{n!} \\right)^{\\frac{1}{2}} \\left( \\sum_{n=0}^{\\infty} \\frac{1}{2^n} \\right)^{\\frac{1}{2}} = \\sqrt{2e}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057288166593273900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 08:25:42",
"content": "**Ｈｅｒｅｌｓ**",
"attachments": [
{
"id": 1057288166366777500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057288166366777475/411882877933060109.png",
"fileName": "411882877933060109.png",
"fileSizeBytes": 43134
}
],
"mentions": [],
"reference": null
},
{
"id": 1057288220745937000,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:25:55",
"content": ",w sqrt{2e}",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057288231948914800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 08:25:57",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057288284792963100,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:26:10",
"content": ",w 3/2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057288304166449200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 08:26:15",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057288327922987000,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:26:20",
"content": "end my suffering plz",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057288379085111300,
"author_id": 829398019455320000,
"author_name": "angel.",
"timestamp": "12/27/2022 08:26:33",
"content": "hahahahahahaha im sorry",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057288437583073300,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:26:46",
"content": "I did a mistake somewhere",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057288756379537500,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:28:02",
"content": "maybe I think I see why",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057288831239458800,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:28:20",
"content": "but brb, I need to take a shower :worry:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057289018821324800,
"author_id": 829398019455320000,
"author_name": "angel.",
"timestamp": "12/27/2022 08:29:05",
"content": "okay np!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057289026329137200,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:29:07",
"content": ",w taylor expansion e",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057289045799080000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 08:29:11",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057289098232070300,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:29:24",
"content": ",w maclaurin series of exp(x)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057289108004798500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 08:29:26",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057289197465124900,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:29:48",
"content": "welp brb",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057291743571222500,
"author_id": 829398019455320000,
"author_name": "angel.",
"timestamp": "12/27/2022 08:39:55",
"content": "herels i think i have found the solution! my apologies! and thank u very much for the effort!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057292802616209400,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/27/2022 08:44:07",
"content": "ah ok, np",
"attachments": [],
"mentions": [
{
"id": 829398019455320000,
"name": "angel.",
"discriminator": "5120",
"nickname": "angel.",
"isBot": false
}
],
"reference": null
},
{
"id": 1057292985764688000,
"author_id": 829398019455320000,
"author_name": "angel.",
"timestamp": "12/27/2022 08:44:51",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057292988713275400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 08:44:52",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
98af3d0f643445bfbaf82ae848d00f15
|
200,395 |
[
{
"id": 1057293241784991700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 08:45:52",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057295098888593400,
"author_id": 232837602191867900,
"author_name": "ottie",
"timestamp": "12/27/2022 08:53:15",
"content": "Hi, am i doing something wrong or are they wrong? I feel like they missed a tiny detail?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057295101354852400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 08:53:15",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057295098888593400,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057295341701038200,
"author_id": 232837602191867900,
"author_name": "ottie",
"timestamp": "12/27/2022 08:54:13",
"content": "",
"attachments": [
{
"id": 1057295341499715700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057295341499715694/IMG_0080.jpg",
"fileName": "IMG_0080.jpg",
"fileSizeBytes": 434052
}
],
"mentions": [],
"reference": null
},
{
"id": 1057295448961986700,
"author_id": 232837602191867900,
"author_name": "ottie",
"timestamp": "12/27/2022 08:54:38",
"content": "What they wrote:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057295473335074800,
"author_id": 232837602191867900,
"author_name": "ottie",
"timestamp": "12/27/2022 08:54:44",
"content": "",
"attachments": [
{
"id": 1057295472999542800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057295472999542815/hmmmmmm.PNG",
"fileName": "hmmmmmm.PNG",
"fileSizeBytes": 44302
}
],
"mentions": [],
"reference": null
},
{
"id": 1057295537541484500,
"author_id": 232837602191867900,
"author_name": "ottie",
"timestamp": "12/27/2022 08:54:59",
"content": "Laplace transform",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057298910634315800,
"author_id": 232837602191867900,
"author_name": "ottie",
"timestamp": "12/27/2022 09:08:23",
"content": "",
"attachments": [],
"mentions": [
{
"id": 916716351178031200,
"name": "Ender Dragon",
"discriminator": "0208",
"nickname": "Ender Dragon",
"isBot": false
}
],
"reference": null
},
{
"id": 1057302686535520300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 09:23:24",
"content": "@ottie Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 232837602191867900,
"name": "ottie",
"discriminator": "2107",
"nickname": "ottie",
"isBot": false
}
],
"reference": null
},
{
"id": 1057302728453406800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 09:23:34",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
cad4b88adf54438e9973b077f0bbfd96
|
200,396 |
[
{
"id": 1057302982938599400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 09:24:34",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057304248376901800,
"author_id": 823037739749867500,
"author_name": "person2709505",
"timestamp": "12/27/2022 09:29:36",
"content": "",
"attachments": [
{
"id": 1057304248137810000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057304248137809990/image.png",
"fileName": "image.png",
"fileSizeBytes": 135232
}
],
"mentions": [],
"reference": null
},
{
"id": 1057304250503401500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 09:29:37",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057304248376901800,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057304342333501400,
"author_id": 823037739749867500,
"author_name": "person2709505",
"timestamp": "12/27/2022 09:29:58",
"content": "Could someone give me a hint? This is from a chapter on the Pigeonhole Principle.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057304592599236700,
"author_id": 823037739749867500,
"author_name": "person2709505",
"timestamp": "12/27/2022 09:30:58",
"content": "I can show that the differences are bounded above by 20 (without using the fact that the numbers add to 100), and I also got the result by sorting the numbers and showing that the inverse statement means the sum must be more than 100",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057304709783879800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/27/2022 09:31:26",
"content": "divide the interval (0, 100) into \"bins\" (0,10], (10,20], (20,30] etc.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057304763718434800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/27/2022 09:31:39",
"content": "show that if each bin contains at most one of your numbers then their sum will exceed 100",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057305083584454700,
"author_id": 823037739749867500,
"author_name": "person2709505",
"timestamp": "12/27/2022 09:32:55",
"content": "That can work just using the PP?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057305385377206400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/27/2022 09:34:07",
"content": "come again?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057306153614327900,
"author_id": 823037739749867500,
"author_name": "person2709505",
"timestamp": "12/27/2022 09:37:10",
"content": "I'm having trouble seeing how the pigeonhole p. can be used to show something about the sum",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057307771814555600,
"author_id": 823037739749867500,
"author_name": "person2709505",
"timestamp": "12/27/2022 09:43:36",
"content": "Well I'll think about it a bit and see if I can make it work. Thanks!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057307804966330400,
"author_id": 823037739749867500,
"author_name": "person2709505",
"timestamp": "12/27/2022 09:43:44",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057307808284037100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 09:43:45",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
05f41e3fca034453b808c156dba9d2fa
|
200,397 |
[
{
"id": 1057330240550080600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 11:12:53",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057336840543289500,
"author_id": 704641185972748300,
"author_name": "lucass",
"timestamp": "12/27/2022 11:39:07",
"content": "Can someone help me with 17i I rlly can't show it and I've been stuck for the past 30min",
"attachments": [
{
"id": 1057336840182583400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057336840182583376/20221228_003839.jpg",
"fileName": "20221228_003839.jpg",
"fileSizeBytes": 6525438
}
],
"mentions": [],
"reference": null
},
{
"id": 1057336845177978900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 11:39:08",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057336840543289500,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057340618684235800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 11:54:07",
"content": "@lucass Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 704641185972748300,
"name": "lucass",
"discriminator": "9174",
"nickname": "lucass",
"isBot": false
}
],
"reference": null
},
{
"id": 1057340644122693600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/27/2022 11:54:13",
"content": "• Express the area of the triangle\n• Express the area of the semicircle",
"attachments": [],
"mentions": [
{
"id": 704641185972748300,
"name": "lucass",
"discriminator": "9174",
"nickname": "lucass",
"isBot": false
}
],
"reference": null
},
{
"id": 1057344395948609700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 12:09:08",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
16271044b2f5403091784be0015d8137
|
200,398 |
[
{
"id": 1033069134952546400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/21/2022 13:27:55",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033069455690977300,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 13:29:11",
"content": "```P(raining on Saturday) = 0.3, P(raining on Sunday) = 0.4. Whats the P it will rain at least once on the weekend? If the variables are independant, whats the probability distribution then? If you know it rained on Saturday, whats a chance it will rain on Sunday again?```",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033069459704922100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/21/2022 13:29:12",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1033069455690977300,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1033071090467078300,
"author_id": 903368271779225600,
"author_name": "/\\",
"timestamp": "10/21/2022 13:35:41",
"content": ",calc 0.3*0.6+0.7*0.4+0.3*0.4",
"attachments": [],
"mentions": [
{
"id": 910344998397051000,
"name": "trameski8",
"discriminator": "9849",
"nickname": "trameski8",
"isBot": false
}
],
"reference": null
},
{
"id": 1033071092123836400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/21/2022 13:35:41",
"content": "Result:\n```\n0.58\n```",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033071098968948700,
"author_id": 903368271779225600,
"author_name": "/\\",
"timestamp": "10/21/2022 13:35:43",
"content": "If the variables are independant, than the probability that it rains on sunday, won't be impact by the wether from saturday.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033071212731044000,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 13:36:10",
"content": "how do i calculate probability distribution?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033072540085653600,
"author_id": 903368271779225600,
"author_name": "/\\",
"timestamp": "10/21/2022 13:41:27",
"content": "",
"attachments": [
{
"id": 1033072539632664700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1033072539632664656/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 49585
}
],
"mentions": [
{
"id": 910344998397051000,
"name": "trameski8",
"discriminator": "9849",
"nickname": "trameski8",
"isBot": false
}
],
"reference": null
},
{
"id": 1033072621731971200,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 13:41:46",
"content": "what is that suppose to mean?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033072773578371100,
"author_id": 903368271779225600,
"author_name": "/\\",
"timestamp": "10/21/2022 13:42:22",
"content": "k is our event",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033072828947370000,
"author_id": 903368271779225600,
"author_name": "/\\",
"timestamp": "10/21/2022 13:42:35",
"content": "P(X=k) is the probability of the event",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033072904776192100,
"author_id": 903368271779225600,
"author_name": "/\\",
"timestamp": "10/21/2022 13:42:54",
"content": "r,r means rain on saturday and rain on sunday",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033073171223552100,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 13:43:57",
"content": "thats wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033073370302005200,
"author_id": 903368271779225600,
"author_name": "/\\",
"timestamp": "10/21/2022 13:44:45",
"content": "What's right then?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033076608149487700,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 13:57:37",
"content": "0 to 0.7 is correct",
"attachments": [],
"mentions": [
{
"id": 903368271779225600,
"name": "/\\",
"discriminator": "3608",
"nickname": "/\\",
"isBot": false
}
],
"reference": null
},
{
"id": 1033076769886052500,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 13:58:15",
"content": "the probability distribution is 0 to 0.7?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033078187313336400,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:03:53",
"content": "ye",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033078551462809700,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:05:20",
"content": "thats not even a probability distribution",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033079724584480800,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:10:00",
"content": "well thats what some guy put in the interview and got it right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033080085097484300,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:11:25",
"content": "do you know what a probability distribution is",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033081721043833000,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:17:56",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033081743332347900,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:18:01",
"content": "its like a confidence interval",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033081747597959300,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:18:02",
"content": "spread",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033081807236767700,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:18:16",
"content": "@heavy whats the correct answer then?",
"attachments": [],
"mentions": [
{
"id": 394938706760302600,
"name": "heavy",
"discriminator": "0201",
"nickname": "heavy",
"isBot": false
}
],
"reference": null
},
{
"id": 1033081920910794800,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:18:43",
"content": "a probability distribution is not a confidence interval",
"attachments": [],
"mentions": [
{
"id": 910344998397051000,
"name": "trameski8",
"discriminator": "9849",
"nickname": "trameski8",
"isBot": false
}
],
"reference": null
},
{
"id": 1033081962786717700,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:18:53",
"content": "what is it?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033081994923491300,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:19:01",
"content": "your question is poorly defined",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033082139383713800,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:19:35",
"content": "this is the probability distribution of the events that can occur",
"attachments": [],
"mentions": [
{
"id": 903368271779225600,
"name": "/\\",
"discriminator": "3608",
"nickname": "/\\",
"isBot": false
}
],
"reference": null
},
{
"id": 1033082209118208100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:19:52",
"content": "so if thats wrong then you formulated your question incorrectly",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033082287392309200,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:20:11",
"content": "some guy got 0 to 0.7 and apparently that was correct",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033082317960392700,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:20:18",
"content": "what is the question",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033082446117359600,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:20:48",
"content": "here",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033082674396537000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:21:43",
"content": "they asked for the probability distribution in an interview question?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033082690318127200,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:21:47",
"content": "ye",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033082789857329300,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:22:10",
"content": "i think youre misrepresenting the question",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033082821704699900,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:22:18",
"content": "wdym",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033082863085699100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:22:28",
"content": "could you send the exact question",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033082876767518800,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:22:31",
"content": "like a picture of it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033083047073030100,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:23:12",
"content": "this is how the person who took the interviewed type it for me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033083067562205300,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:23:17",
"content": "idk what other info you need",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033083205475119100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:23:49",
"content": "alright well the distribution was sent already",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033083362899939500,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:24:27",
"content": "probability of it raining on the weekend is P(rain on saturday or sunday) = P(rain on saturday) + P(rain on sunday) - P(rain on saturday or sunday)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033083432382767100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:24:44",
"content": "0.3 + 0.4 - 0.3*0.4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033083472593559600,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:24:53",
"content": "= 0.58",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033083490075410400,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:24:57",
"content": "i understand that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033083638415360100,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:25:33",
"content": "how did you get those numbers for the prob distribution?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033083719176695800,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:25:52",
"content": "by computing the probabilities of those events",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033083934117990500,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:26:43",
"content": "you realise getting a job at jane street is extremely competitive right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084104725495900,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:27:24",
"content": "youre going to have to be wayy more comfortable with probability theory if you want to pass",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084104771641300,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:27:24",
"content": "bruh hdyk this was a jane street question",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084168978038800,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:27:39",
"content": "have you interviewed before?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084198459813900,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:27:46",
"content": "im a student",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084213748047900,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:27:50",
"content": "i have not",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084220450545700,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:27:51",
"content": "okay",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084256295080100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:28:00",
"content": "it says in your discord bio lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084258861981800,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:28:01",
"content": "dont you think ik that",
"attachments": [],
"mentions": [
{
"id": 394938706760302600,
"name": "heavy",
"discriminator": "0201",
"nickname": "heavy",
"isBot": false
}
],
"reference": null
},
{
"id": 1033084278868824000,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:28:05",
"content": "oh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084292336713700,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:28:09",
"content": "i might remove it tbh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084310363840500,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:28:13",
"content": "point is",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084350394277900,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:28:22",
"content": "have you ever done a course on probability?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084358678040600,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:28:24",
"content": "dude i havent seen distribution being asked",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084371407745000,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:28:27",
"content": "okay im done",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084421907169500,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:28:39",
"content": "you cant criticize someone you barely even know",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084474860245100,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:28:52",
"content": "the guy who did the interview literally got 0 to 0.7 and got it right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084495945027600,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:28:57",
"content": "so...",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084531709853700,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:29:06",
"content": "thats an interval",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084551372734600,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:29:10",
"content": "idk why im being attacked for trying to understand",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084585300471800,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:29:18",
"content": "nobody is attacking anyone",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084644318523400,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:29:32",
"content": "you are",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084681253564400,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:29:41",
"content": "we're just saying your guy is wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084710232010800,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:29:48",
"content": "or youre misrepresenting the question",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084726040338600,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:29:52",
"content": "youre not even helping just tryna bringing me down",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084749939486700,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:29:58",
"content": "no he typed it the way i put it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084778171334700,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:30:04",
"content": "and he ended up passing the interview",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033084866339811500,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:30:25",
"content": "you gotta chill out",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033085134418747400,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:31:29",
"content": "i am completely relaxed",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033085150642307200,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:31:33",
"content": "not really",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033085172368814200,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:31:38",
"content": "lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033085172905685000,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:31:39",
"content": "assuming i didnt take a prob course",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033085212957081600,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:31:48",
"content": "ive been studying for months",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033085213200359600,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:31:48",
"content": "i didnt assume i just asked",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033085250152185900,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:31:57",
"content": "i took a prob course before",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033085276744077300,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:32:03",
"content": "and finished a whole prob textbook",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033085320826200200,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:32:14",
"content": "and been doing harder questions than this for a while",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033085338480017400,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:32:18",
"content": "im just trying to understandf",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033085339046248400,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:32:18",
"content": "my culture is kinda direct though so maybe theres an issue there",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033085391076606000,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:32:31",
"content": "thats why im asking",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033085499914596500,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:32:56",
"content": "again, 0 to 0.7 is not a probability distribution",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033085521947283600,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:33:02",
"content": "whatever",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033085613584429200,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:33:24",
"content": "you think im not capable of solving these type of questions",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033085659482685600,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:33:35",
"content": "just cause i am asking for help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033085671331602400,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:33:37",
"content": "what the hell man im just trying to help you out",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033085698795900900,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:33:44",
"content": "and you think i think youre stupid",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033085744081797200,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/21/2022 14:33:55",
"content": "thats not whats going on at all",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033086566429630600,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:37:11",
"content": "by these questions your asking me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033086607424761900,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:37:21",
"content": "youre making it seem like i havent done this at all",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033086640073228400,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:37:28",
"content": "and making it seem idk js is competitive",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033088965147889800,
"author_id": 910344998397051000,
"author_name": "trameski8",
"timestamp": "10/21/2022 14:46:43",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1033088968826310700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/21/2022 14:46:44",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
4690f8521d6440608c90bfb2f9d789e8
|
200,399 |
[
{
"id": 1034981935400890500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 20:08:42",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034984533461835900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 20:19:01",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1034984529959583700,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1034985561108254700,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/26/2022 20:23:06",
"content": "Yeah, did you ask the full question? This is hard to understand",
"attachments": [],
"mentions": [
{
"id": 855657164881526800,
"name": "SwordCrusader45",
"discriminator": "2444",
"nickname": "SwordCrusader45",
"isBot": false
}
],
"reference": null
},
{
"id": 1034985646298775600,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/26/2022 20:23:27",
"content": "What exactly are the directions?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034985909097078900,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/26/2022 20:24:29",
"content": "Uh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034985912972628000,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/26/2022 20:24:30",
"content": "oh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034986009412239400,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/26/2022 20:24:53",
"content": "I think you want to find the value of t such that the line tangent to f at x=t is parallel to the line tangent to f at x=t+1 ?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034986252967096400,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/26/2022 20:25:51",
"content": "And the function is $f(x) = 3(x(x^2))-x$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034986262970507400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/26/2022 20:25:54",
"content": "**tatpoj**",
"attachments": [
{
"id": 1034986262634967000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1034986262634967071/490649542077841408.png",
"fileName": "490649542077841408.png",
"fileSizeBytes": 13460
}
],
"mentions": [],
"reference": null
},
{
"id": 1034986304213106700,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/26/2022 20:26:04",
"content": "?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034986392075378700,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/26/2022 20:26:24",
"content": "Okay that's kind of a weird way to express the function, it's just equal to 3x^3 - x",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034986474556375200,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/26/2022 20:26:44",
"content": "But",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034986492201803800,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/26/2022 20:26:48",
"content": "what have you tried so far?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034986868804173800,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/26/2022 20:28:18",
"content": "Well, what does it mean for two lines to be parallel?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034986961871573000,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/26/2022 20:28:40",
"content": "Right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034987013079843000,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/26/2022 20:28:53",
"content": "So if you can find an expression for the slope of each tangent line, then we have an equation",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034987161231044700,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/26/2022 20:29:28",
"content": "To find the slope of a tangent line?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034987262917738500,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/26/2022 20:29:52",
"content": "Don't worry about t just yet",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034987286619750500,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/26/2022 20:29:58",
"content": "How would you find the slope of a tangent line",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034987294484074600,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/26/2022 20:30:00",
"content": "at any point?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034987613964210200,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/26/2022 20:31:16",
"content": "Yeah, exactly",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034987741122941000,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/26/2022 20:31:46",
"content": "Just find the derivative of f(x)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034987754846695400,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/26/2022 20:31:49",
"content": "Then plug in t and t+1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034987779383369700,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/26/2022 20:31:55",
"content": "f'(t) = f'(t+1)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034988293336608900,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "10/26/2022 20:33:58",
"content": "Yeah then just solve for t",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034988734292172800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 20:35:43",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
e628b6f2c5fe4baab48fc78eaf011db6
|
200,400 |
[
{
"id": 1057366090184933500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 13:35:20",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057367579473227900,
"author_id": 1029621742458654700,
"author_name": "Starlight",
"timestamp": "12/27/2022 13:41:15",
"content": "can someone help me please? I'm just stuck on this problem for a long time and I don't think I approached it in the right way of thinking",
"attachments": [
{
"id": 1057367579158642800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057367579158642788/image.png",
"fileName": "image.png",
"fileSizeBytes": 16704
}
],
"mentions": [],
"reference": null
},
{
"id": 1057367582316970000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 13:41:16",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057367579473227900,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057367873556840600,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/27/2022 13:42:26",
"content": "have you drawn a picture",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057367925159383000,
"author_id": 1029621742458654700,
"author_name": "Starlight",
"timestamp": "12/27/2022 13:42:38",
"content": "yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057368143883935700,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/27/2022 13:43:30",
"content": "okay then show what you've done so far",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057368869976678500,
"author_id": 1029621742458654700,
"author_name": "Starlight",
"timestamp": "12/27/2022 13:46:23",
"content": "something like this",
"attachments": [
{
"id": 1057368869611782100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057368869611782164/image.png",
"fileName": "image.png",
"fileSizeBytes": 20850
}
],
"mentions": [],
"reference": null
},
{
"id": 1057371548085911600,
"author_id": 903734254251434000,
"author_name": "joyousbanana",
"timestamp": "12/27/2022 13:57:02",
"content": "i worked it out i got 41",
"attachments": [],
"mentions": [
{
"id": 1029621742458654700,
"name": "Starlight",
"discriminator": "4244",
"nickname": "Starlight",
"isBot": false
}
],
"reference": null
},
{
"id": 1057372048302801000,
"author_id": 903734254251434000,
"author_name": "joyousbanana",
"timestamp": "12/27/2022 13:59:01",
"content": "it's simply AB + AC = 41",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057372718045081600,
"author_id": 1029621742458654700,
"author_name": "Starlight",
"timestamp": "12/27/2022 14:01:41",
"content": "ohh I see thank you!",
"attachments": [],
"mentions": [
{
"id": 903734254251434000,
"name": "joyousbanana",
"discriminator": "9424",
"nickname": "joyousbanana",
"isBot": false
}
],
"reference": null
},
{
"id": 1057372863843287200,
"author_id": 903734254251434000,
"author_name": "joyousbanana",
"timestamp": "12/27/2022 14:02:15",
"content": "no problem",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057373198003470300,
"author_id": 1029621742458654700,
"author_name": "Starlight",
"timestamp": "12/27/2022 14:03:35",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057373200549417100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 14:03:36",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
eb7d90d112df48b68d9e06836b14179b
|
200,401 |
[
{
"id": 1057373248930717800,
"author_id": 1029621742458654700,
"author_name": "Starlight",
"timestamp": "12/27/2022 14:03:47",
"content": ".reopen",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057373255419318400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 14:03:49",
"content": "✅",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057373353595371500,
"author_id": 1029621742458654700,
"author_name": "Starlight",
"timestamp": "12/27/2022 14:04:12",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057373356359434400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 14:04:13",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
53b013baff8c41528f191673af61cbe2
|
200,402 |
[
{
"id": 1057375774904168400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 14:13:49",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057390791632375800,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/27/2022 15:13:30",
"content": "$f(n) = \\frac{n^2 + 1}{(n + 1)^2}$\n\nTo prove that $f$ converges for $x \\to \\infty$, it has to fulfill two conditions after the monotone convergence theorem: \n\\\\\\\\\n(1) It has to be bounded \\\\\n(2) It has to be monotonic\n\\\\\\\\\n$f'(n) = \\frac{2n}{n^2 + 2n + 1} - \\frac{2n^3 + 2n^2 + 2n + 2}{(n^2 + 2n + 1)^2} > 0$ for all $n \\in \\mathbb{N}$. Thus $f$ is strictly monotonic increasing.\n\n$f(n) > 0$ for all $n \\in \\mathbb{N}$.\n\n$f$ is bounded ($f(1)$ is the lower bound).\n\nHow to prove that $f$ has an upper bound too?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057390793872130200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 15:13:30",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057390791632375800,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057390982741639300,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/27/2022 15:14:15",
"content": "",
"attachments": [
{
"id": 1057390982485778700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057390982485778633/image.png",
"fileName": "image.png",
"fileSizeBytes": 81028
}
],
"mentions": [],
"reference": null
},
{
"id": 1057391331112136800,
"author_id": 279217052521201660,
"author_name": "tobi.",
"timestamp": "12/27/2022 15:15:38",
"content": "you can take the limit",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057391409583366100,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/27/2022 15:15:57",
"content": "That doesn't have to be the upper bound",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057391444094111900,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/27/2022 15:16:05",
"content": "bound the numerator above and the denominator below by useful things that will cancel",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057391548528078800,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/27/2022 15:16:30",
"content": "$\\frac{n²+1}{(n+1)²} \\le \\frac{n² + 1}{n²}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057391558053351400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 15:16:32",
"content": "**Mehdi\\_Moulati**",
"attachments": [
{
"id": 1057391557860409500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057391557860409435/942843959783333890.png",
"fileName": "942843959783333890.png",
"fileSizeBytes": 10103
}
],
"mentions": [],
"reference": null
},
{
"id": 1057391626638602400,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/27/2022 15:16:49",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057391725993275400,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/27/2022 15:17:12",
"content": "so it's <= 1 + 1/n²",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057391817693335700,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/27/2022 15:17:34",
"content": "But how does that prove that there is an upper bound?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057392047016906900,
"author_id": 279217052521201660,
"author_name": "tobi.",
"timestamp": "12/27/2022 15:18:29",
"content": "isnt the upper bound just the limit as n -> inf",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057392151866134500,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/27/2022 15:18:54",
"content": "if f strictly increasing that means that : \n$f(x) \\le \\lim_{x \\to +\\inf} f(x)$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057392345915588600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 15:19:40",
"content": "**Mehdi\\_Moulati**",
"attachments": [
{
"id": 1057392345752031400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057392345752031413/942843959783333890.png",
"fileName": "942843959783333890.png",
"fileSizeBytes": 20346
}
],
"mentions": [],
"reference": null
},
{
"id": 1057392575276916900,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/27/2022 15:20:35",
"content": "So by finding the limit you prove that it converges after the monotone conergence theorem?",
"attachments": [],
"mentions": [
{
"id": 942843959783333900,
"name": "Mehdi_Moulati",
"discriminator": "1210",
"nickname": "Mehdi_Moulati",
"isBot": false
}
],
"reference": null
},
{
"id": 1057393040316190700,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/27/2022 15:22:26",
"content": "By finding the limit in this case you would prove that it converges because you found the limit and after the monotone convergence theorem, but normally you first want to prove that it converges and only then find the limit",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057393219563950200,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/27/2022 15:23:08",
"content": "But to prove that it converges, here you need to find the limit?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057393261301465100,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/27/2022 15:23:18",
"content": "That seems to make the monotone convergence theorem unnecessary here",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057393295371808900,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/27/2022 15:23:27",
"content": "$\\frac{n²+1}{(n+1)²} \\le \\frac{n² + 1}{n² + 1}=1$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057393541573263400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 15:24:25",
"content": "**Mehdi\\_Moulati**",
"attachments": [
{
"id": 1057393541392900200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057393541392900246/942843959783333890.png",
"fileName": "942843959783333890.png",
"fileSizeBytes": 10919
}
],
"mentions": [],
"reference": null
},
{
"id": 1057393603372126300,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/27/2022 15:24:40",
"content": "it's clearly converge to 1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057394531907158000,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/27/2022 15:28:21",
"content": "yeah, but to prove that it converges after the monotone convergence theorem, you need to prove that it's bounded and it's monotonic",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057394559295955100,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/27/2022 15:28:28",
"content": "I showed that it's monotonic and has a lower bound",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057394592284147700,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/27/2022 15:28:36",
"content": "But for the upper bound, it seems like you need to directly find the limit",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057394622646718600,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/27/2022 15:28:43",
"content": "Which makes the theorem unnecessary",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057394659397210200,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/27/2022 15:28:52",
"content": "You would directly prove that it converges if the limit isnt infinity",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057394687410974800,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/27/2022 15:28:58",
"content": "we know that $(n+1)² = n²+2n + 1 > n²+1$ so : \n\\begin{align*}\n(n+1)² \\ge n²+1 \n&\\eq 0 \\le \\frac{1}{(n+1)²} \\le \\frac{1}{n²+1}\\\\\n&\\eq 0 \\le \\frac{n²+1}{(n+1)²} \\le \\frac{n²+1}{n²+1}\\\\\n&\\eq 0 \\le \\frac{n²+1}{(n+1)²} \\le 1\n\\end{align*}",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057395124058984600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 15:30:43",
"content": "**Mehdi\\_Moulati**",
"attachments": [
{
"id": 1057395124163854500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057395124163854416/942843959783333890.png",
"fileName": "942843959783333890.png",
"fileSizeBytes": 53976
}
],
"mentions": [],
"reference": null
},
{
"id": 1057395266589835300,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/27/2022 15:31:17",
"content": "of course i assumed that n >= 0",
"attachments": [],
"mentions": [
{
"id": 510789298321096700,
"name": "TeXit",
"discriminator": "0796",
"nickname": "TeXit",
"isBot": true
}
],
"reference": null
},
{
"id": 1057395517509861500,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/27/2022 15:32:16",
"content": "which means that f(n) is bounded",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057395626721149000,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/27/2022 15:32:42",
"content": "Oh, thank you!",
"attachments": [],
"mentions": [
{
"id": 510789298321096700,
"name": "TeXit",
"discriminator": "0796",
"nickname": "TeXit",
"isBot": true
}
],
"reference": null
},
{
"id": 1057395693020524500,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/27/2022 15:32:58",
"content": "But can you say for sure that 1 is the upper bound?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057395720329633800,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/27/2022 15:33:05",
"content": "Maybe it's 0.9",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057395876135452700,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/27/2022 15:33:42",
"content": "I guess it doesn't matter much after the theorem, you just need any upper bound to prove that it converges",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057395909027180500,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/27/2022 15:33:50",
"content": "Thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057395926177697800,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/27/2022 15:33:54",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057395929071763600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 15:33:54",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
00eef423fdd94f4cb2ec59b5d4af6885
|
200,403 |
[
{
"id": 1057395941075849300,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/27/2022 15:33:57",
"content": "anytime",
"attachments": [],
"mentions": [
{
"id": 332561465405866000,
"name": "Kepe",
"discriminator": "5235",
"nickname": "Kepe",
"isBot": false
}
],
"reference": null
},
{
"id": 1057396181413658800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 15:34:55",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057402503630684300,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:00:02",
"content": "How would I do this",
"attachments": [
{
"id": 1057402502963806300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057402502963806379/Screenshot_2022-12-27_at_3.59.33_PM.png",
"fileName": "Screenshot_2022-12-27_at_3.59.33_PM.png",
"fileSizeBytes": 31249
},
{
"id": 1057402503307743400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057402503307743412/Screenshot_2022-12-27_at_3.59.37_PM.png",
"fileName": "Screenshot_2022-12-27_at_3.59.37_PM.png",
"fileSizeBytes": 20236
}
],
"mentions": [],
"reference": null
},
{
"id": 1057402509238480900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 16:00:03",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057402503630684300,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057402649823158400,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:00:37",
"content": "ik how to find the averagevalue of a function between [a,b]",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057402698837794800,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:00:48",
"content": "but I dont think they want me to use that formula here",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057402716428705800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/27/2022 16:00:53",
"content": "You're told to approximate Riemann sums with the integral?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057402728302772200,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:00:56",
"content": "and no way they wantme to do it manually",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057402806203600900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/27/2022 16:01:14",
"content": "Do you know how to integrate e^(x/2)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057403042468732900,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:02:10",
"content": "",
"attachments": [
{
"id": 1057403042204487700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057403042204487740/IMG_0179.jpg",
"fileName": "IMG_0179.jpg",
"fileSizeBytes": 277001
}
],
"mentions": [],
"reference": null
},
{
"id": 1057403047485128800,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:02:12",
"content": ",rotate",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057403050907664500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 16:02:12",
"content": "",
"attachments": [
{
"id": 1057403051067060200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057403051067060224/925451734380318801.png",
"fileName": "925451734380318801.png",
"fileSizeBytes": 278425
}
],
"mentions": [],
"reference": null
},
{
"id": 1057403082792775800,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:02:20",
"content": "i tried this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057403193576915100,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:02:46",
"content": "yes",
"attachments": [],
"mentions": [
{
"id": 261933205387477000,
"name": "riemann",
"discriminator": "2529",
"nickname": "riemann",
"isBot": false
}
],
"reference": null
},
{
"id": 1057403249554112500,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:03:00",
"content": "answer key is saying this",
"attachments": [
{
"id": 1057403249164026000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057403249164025936/Screenshot_2022-12-27_at_4.02.36_PM.png",
"fileName": "Screenshot_2022-12-27_at_4.02.36_PM.png",
"fileSizeBytes": 21478
}
],
"mentions": [],
"reference": null
},
{
"id": 1057403388041637900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/27/2022 16:03:33",
"content": "Oh hmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057403758990069800,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:05:01",
"content": "😢",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057404507362955300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/27/2022 16:08:00",
"content": ",w sum i=1 to 100 of e^((i-1)/200) /100",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057404516296826900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 16:08:02",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057404530326765600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/27/2022 16:08:05",
"content": "Pain",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057404576455729200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/27/2022 16:08:16",
"content": "It really wants you to evaluate that sum of 100 terms",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057404655480610800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/27/2022 16:08:35",
"content": "Oh wait this is a geometric sum",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057404767959257100,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:09:02",
"content": "🤔",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057404947039256700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/27/2022 16:09:45",
"content": "You have sum n=0 to 99 of ar^n. Find a and r",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057405024810053600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/27/2022 16:10:03",
"content": "Similarly for n = 1 to 100 for R_100",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057405141554311200,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:10:31",
"content": "sorry but i dont getwhatu mean by ar^n",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057406258585546900,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:14:57",
"content": "@riemann 😭 i dont get it",
"attachments": [],
"mentions": [
{
"id": 261933205387477000,
"name": "riemann",
"discriminator": "2529",
"nickname": "riemann",
"isBot": false
}
],
"reference": null
},
{
"id": 1057406530858782800,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/27/2022 16:16:02",
"content": "$\\sum_{n=1}^{\\infty} ar^n = \\frac{a}{1-r}$ for $0 < r < 1$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057406539796844500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/27/2022 16:16:04",
"content": "**Gijs**",
"attachments": [
{
"id": 1057406539608109200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057406539608109156/394938706760302592.png",
"fileName": "394938706760302592.png",
"fileSizeBytes": 11685
}
],
"mentions": [],
"reference": null
},
{
"id": 1057406624991543300,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:16:25",
"content": "I really dont understand",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057406628330229900,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:16:25",
"content": "shit",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057407388057096300,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/27/2022 16:19:26",
"content": "perhaps you missed class for it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057407409888428200,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/27/2022 16:19:32",
"content": "just google geometric series",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057407434668376000,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:19:38",
"content": "nah itswinter break",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057407448039817300,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:19:41",
"content": "im just reading sum calc 2 book",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057407469078462500,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:19:46",
"content": "ill go through the chapter again",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057407544529801200,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/27/2022 16:20:04",
"content": "oh alright",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057407589132026000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/27/2022 16:20:14",
"content": "https://youtu.be/uAnJmAFBpak",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057407624796180500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/27/2022 16:20:23",
"content": "Your sum is finite",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057407732577222700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/27/2022 16:20:49",
"content": "If you prefer to read\nhttps://www.cuemath.com/geometric-sum-formula/",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057407939406729300,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:21:38",
"content": "alr tysm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057408624017817600,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:24:21",
"content": "oh i havent seen this formula",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057408632704213000,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:24:23",
"content": "in mybook",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057408668980756600,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:24:32",
"content": "so far",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057408745942044700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/27/2022 16:24:50",
"content": "This is a high school level formula",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057408821041041500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/27/2022 16:25:08",
"content": "Not every calculus book is going to cover the geometric sum",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057408939886649500,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:25:36",
"content": "oh we only did like calc 1 in hs",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057409041078431700,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:26:01",
"content": "but the current book thatwe will be usin for the next sem inmy uni",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057409054932209700,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:26:04",
"content": "doesnt cover it either",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057409087329013900,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:26:12",
"content": "so idk If ill even be allowed to use something like that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057409558902997100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/27/2022 16:28:04",
"content": "It's not a calculus level formula",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057409602653798500,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:28:14",
"content": "oh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057409648476573700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/27/2022 16:28:25",
"content": "Geometric sums are grade 10 or 11 level in US",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057409671058706600,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:28:31",
"content": "oh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057409676716818400,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:28:32",
"content": "I see",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057409708232818700,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:28:40",
"content": "ty",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057411508683939800,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:35:49",
"content": "@riemann",
"attachments": [],
"mentions": [
{
"id": 261933205387477000,
"name": "riemann",
"discriminator": "2529",
"nickname": "riemann",
"isBot": false
}
],
"reference": null
},
{
"id": 1057411535733002200,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:35:55",
"content": "when lookinfor R100 i plug in 101",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057411539654684700,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:35:56",
"content": "as n",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057411542552953000,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:35:57",
"content": "right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057415318470922400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 16:50:57",
"content": "@Worth Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 925451734380318800,
"name": "Worth",
"discriminator": "9844",
"nickname": "Calc II Victim",
"isBot": false
}
],
"reference": null
},
{
"id": 1057415927634870400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 16:53:22",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
e4beee4b54e640eda376cae9f11b0386
|
200,404 |
[
{
"id": 1057416179532189700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 16:54:23",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057417250166026400,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:58:38",
"content": "This time the sum isnt finite",
"attachments": [
{
"id": 1057417249826291800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057417249826291812/Screenshot_2022-12-27_at_4.58.10_PM.png",
"fileName": "Screenshot_2022-12-27_at_4.58.10_PM.png",
"fileSizeBytes": 78780
}
],
"mentions": [],
"reference": null
},
{
"id": 1057417255014645900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 16:58:39",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057417250166026400,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057417274430066700,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:58:44",
"content": "so I cant use the previous formula",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057417309712560100,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 16:58:52",
"content": "what would I do here",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057421086372941800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 17:13:52",
"content": "@Worth Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 925451734380318800,
"name": "Worth",
"discriminator": "9844",
"nickname": "Calc II Victim",
"isBot": false
}
],
"reference": null
},
{
"id": 1057423507258085500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/27/2022 17:23:30",
"content": "A sum of logs is the log of the product",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057426716391387100,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 17:36:15",
"content": "i compared and its not arithmetic or geometric",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057434267359137900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 18:06:15",
"content": "@Worth Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 925451734380318800,
"name": "Worth",
"discriminator": "9844",
"nickname": "Calc II Victim",
"isBot": false
}
],
"reference": null
},
{
"id": 1057449850263851000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 19:08:10",
"content": "@Worth Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 925451734380318800,
"name": "Worth",
"discriminator": "9844",
"nickname": "Calc II Victim",
"isBot": false
}
],
"reference": null
},
{
"id": 1057452553727647900,
"author_id": 925451734380318800,
"author_name": "Worth",
"timestamp": "12/27/2022 19:18:55",
"content": "smh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057452558865682400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 19:18:56",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
d4d4a6cc023e4716ae950ca1b7557709
|
200,405 |
[
{
"id": 1057452811039813800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 19:19:56",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057458501099737100,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:42:33",
"content": "ok im also 100% sure i know how to do this but i lost my notes so to confirm",
"attachments": [
{
"id": 1057458500743213000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057458500743213056/image.png",
"fileName": "image.png",
"fileSizeBytes": 171153
}
],
"mentions": [],
"reference": null
},
{
"id": 1057458503452733600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 19:42:33",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057458501099737100,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057458560973414500,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:42:47",
"content": "i move the tip of the vector to the origin first",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057458580384661600,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:42:52",
"content": "and so for example",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057458680964059300,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:43:16",
"content": "",
"attachments": [
{
"id": 1057458680464945300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057458680464945244/IMG_3507.jpg",
"fileName": "IMG_3507.jpg",
"fileSizeBytes": 956311
}
],
"mentions": [],
"reference": null
},
{
"id": 1057458703667822600,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:43:21",
"content": "and then u do the others",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057458711012061300,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:43:23",
"content": "and add up",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057458716993147000,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:43:24",
"content": "right?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057458783686754300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "12/27/2022 19:43:40",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057460299382395000,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:49:42",
"content": "eh another one",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057460305208287200,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:49:43",
"content": "",
"attachments": [
{
"id": 1057460304843374700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057460304843374674/image.png",
"fileName": "image.png",
"fileSizeBytes": 170265
}
],
"mentions": [],
"reference": null
},
{
"id": 1057460404558778400,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:50:07",
"content": "",
"attachments": [
{
"id": 1057460404432928900,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057460404432928848/IMG_3508.jpg",
"fileName": "IMG_3508.jpg",
"fileSizeBytes": 877142
}
],
"mentions": [],
"reference": null
},
{
"id": 1057460413803012100,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:50:09",
"content": "I think I’m doing it wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057460860055982200,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:51:55",
"content": "@monikanicity ^",
"attachments": [],
"mentions": [
{
"id": 260118674306760700,
"name": "monikanicity",
"discriminator": "0205",
"nickname": "monikanicity",
"isBot": false
}
],
"reference": null
},
{
"id": 1057460904175874000,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:52:06",
"content": "i think u told me this one before but cant remember",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057461079812358100,
"author_id": 260118674306760700,
"author_name": "monikanicity",
"timestamp": "12/27/2022 19:52:48",
"content": "thats not southwest",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057461162188492900,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:53:07",
"content": "u know i remember with never eat sauggy waffale :sotrue:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057461195717738500,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:53:15",
"content": "ur right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057461203066171400,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:53:17",
"content": "tbh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057461214906679300,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:53:20",
"content": "thats not south west",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057461541148049400,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:54:38",
"content": "@monikanicity how do i do it then:sadcat:",
"attachments": [],
"mentions": [
{
"id": 260118674306760700,
"name": "monikanicity",
"discriminator": "0205",
"nickname": "monikanicity",
"isBot": false
}
],
"reference": null
},
{
"id": 1057461764700262400,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:55:31",
"content": "",
"attachments": [
{
"id": 1057461764456988700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057461764456988724/IMG_3509.jpg",
"fileName": "IMG_3509.jpg",
"fileSizeBytes": 863525
}
],
"mentions": [],
"reference": null
},
{
"id": 1057461797000577000,
"author_id": 260118674306760700,
"author_name": "monikanicity",
"timestamp": "12/27/2022 19:55:39",
"content": "write them as vectors",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057461825937096800,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:55:45",
"content": "bruh they are",
"attachments": [],
"mentions": [
{
"id": 260118674306760700,
"name": "monikanicity",
"discriminator": "0205",
"nickname": "monikanicity",
"isBot": false
}
],
"reference": null
},
{
"id": 1057461832786391200,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:55:47",
"content": "already",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057461852969386000,
"author_id": 260118674306760700,
"author_name": "monikanicity",
"timestamp": "12/27/2022 19:55:52",
"content": "no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057461860183589000,
"author_id": 260118674306760700,
"author_name": "monikanicity",
"timestamp": "12/27/2022 19:55:54",
"content": "you drew them",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057461878634320000,
"author_id": 260118674306760700,
"author_name": "monikanicity",
"timestamp": "12/27/2022 19:55:58",
"content": "write out the actual vectors",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057461976999149600,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:56:22",
"content": "i dont know what u mean",
"attachments": [],
"mentions": [
{
"id": 260118674306760700,
"name": "monikanicity",
"discriminator": "0205",
"nickname": "monikanicity",
"isBot": false
}
],
"reference": null
},
{
"id": 1057461998121656300,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:56:27",
"content": ":glassescat:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057462046289039400,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:56:38",
"content": "vector is an arrow",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057462059555627000,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:56:41",
"content": "on top of a",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057462068711801000,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:56:43",
"content": "character",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057462084977303700,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:56:47",
"content": "->",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057462087619723400,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:56:48",
"content": "a",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057462382726742000,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:57:58",
"content": "ok cosine law lemme try",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057462386942030000,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "12/27/2022 19:57:59",
"content": "myself",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057462404893647000,
"author_id": 260118674306760700,
"author_name": "monikanicity",
"timestamp": "12/27/2022 19:58:04",
"content": "write out the components",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057466162625122300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 20:12:59",
"content": "@電波的な彼女 Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 783697943176675300,
"name": "電波的な彼女",
"discriminator": "7083",
"nickname": "電波的な彼女",
"isBot": false
}
],
"reference": null
},
{
"id": 1057466205713219700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/27/2022 20:13:10",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
4ae4c0955b2d4eb1a2452d66a4c5b8d7
|
200,406 |
[
{
"id": 1057584763239678000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 04:04:16",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057586367967797200,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "12/28/2022 04:10:39",
"content": "could someone help me justify this?",
"attachments": [
{
"id": 1057586367787438100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057586367787438110/Screenshot_2022-12-25-19-41-36-426.jpg",
"fileName": "Screenshot_2022-12-25-19-41-36-426.jpg",
"fileSizeBytes": 29266
}
],
"mentions": [],
"reference": null
},
{
"id": 1057586371562315800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 04:10:39",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057586367967797200,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057588126840795100,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "12/28/2022 04:17:38",
"content": "The D = 0 line?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057590144942751900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 04:25:39",
"content": "@kinglacto Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 766268632703434800,
"name": "kinglacto",
"discriminator": "5676",
"nickname": "kinglacto",
"isBot": false
}
],
"reference": null
},
{
"id": 1057590364824940700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/28/2022 04:26:32",
"content": "What even is D in a conic?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057590439814889500,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "12/28/2022 04:26:49",
"content": "discriminant",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057590453064704000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/28/2022 04:26:53",
"content": "Is that the xy coefficient?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057590516914593900,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "12/28/2022 04:27:08",
"content": "quadratic in t",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057590691129208800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/28/2022 04:27:49",
"content": "@kinglacto Is this your question?",
"attachments": [],
"mentions": [
{
"id": 766268632703434800,
"name": "kinglacto",
"discriminator": "5676",
"nickname": "kinglacto",
"isBot": false
}
],
"reference": null
},
{
"id": 1057590735538503700,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "12/28/2022 04:28:00",
"content": "oh yea, yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057590807223337000,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "12/28/2022 04:28:17",
"content": "I mean thats the part I dont understand",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057590808531968000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/28/2022 04:28:17",
"content": "Did you identify A,B, and C?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057590863447998500,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "12/28/2022 04:28:30",
"content": "whats A,B ,C?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057590999129534500,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "12/28/2022 04:29:03",
"content": "Notice that the curves touch",
"attachments": [],
"mentions": [
{
"id": 766268632703434800,
"name": "kinglacto",
"discriminator": "5676",
"nickname": "kinglacto",
"isBot": false
}
],
"reference": null
},
{
"id": 1057591022328217600,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "12/28/2022 04:29:08",
"content": "Meaning they intersect only once",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057591059380719600,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "12/28/2022 04:29:17",
"content": "Thus there should be only one solution to the quadratic",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057591106897981400,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "12/28/2022 04:29:28",
"content": "Which happens if and only if its discriminant is 0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057591142117539800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/28/2022 04:29:37",
"content": "",
"attachments": [
{
"id": 1057591141840736300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057591141840736256/Screenshot_20221228-0128452.png",
"fileName": "Screenshot_20221228-0128452.png",
"fileSizeBytes": 425051
}
],
"mentions": [],
"reference": null
},
{
"id": 1057591170169053200,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "12/28/2022 04:29:44",
"content": "but theres only one curve",
"attachments": [],
"mentions": [
{
"id": 348696743388381200,
"name": "A Lonely Bean",
"discriminator": "7998",
"nickname": "A Lonely Bean",
"isBot": false
}
],
"reference": null
},
{
"id": 1057591273571242100,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "12/28/2022 04:30:08",
"content": "well the questions says its an ellipse right?",
"attachments": [],
"mentions": [
{
"id": 261933205387477000,
"name": "riemann",
"discriminator": "2529",
"nickname": "riemann",
"isBot": false
}
],
"reference": null
},
{
"id": 1057591294630838300,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "12/28/2022 04:30:13",
"content": "\"2tx + ysqrt(1 - t^2) = 1 touches a fixed ellipse\"",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057591370363187200,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "12/28/2022 04:30:31",
"content": "yes but the equation of the ellipse hasnt been given",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057591411890995200,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "12/28/2022 04:30:41",
"content": "we just have the equation of a line...?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057591505579167900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/28/2022 04:31:04",
"content": "Your coefficients will depend on t",
"attachments": [],
"mentions": [
{
"id": 766268632703434800,
"name": "kinglacto",
"discriminator": "5676",
"nickname": "kinglacto",
"isBot": false
}
],
"reference": null
},
{
"id": 1057591533689376800,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "12/28/2022 04:31:10",
"content": "Looks like since it says *a* fixed ellipse, they chose a particular one",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057591541113294800,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "12/28/2022 04:31:12",
"content": "I dont understand why we even solve for \"t\"",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057591710114402300,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "12/28/2022 04:31:52",
"content": "but how do I find A, B, C if I dont know the ellipse?",
"attachments": [],
"mentions": [
{
"id": 261933205387477000,
"name": "riemann",
"discriminator": "2529",
"nickname": "riemann",
"isBot": false
}
],
"reference": null
},
{
"id": 1057591797284614100,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "12/28/2022 04:32:13",
"content": "yeah the soln does arrive at one",
"attachments": [],
"mentions": [
{
"id": 348696743388381200,
"name": "A Lonely Bean",
"discriminator": "7998",
"nickname": "A Lonely Bean",
"isBot": false
}
],
"reference": null
},
{
"id": 1057594637180735500,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "12/28/2022 04:43:30",
"content": "edit: would there be an alternative way to solve the problem?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057597856002875400,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "12/28/2022 04:56:18",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057597858804666400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 04:56:18",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
858a36a14ab64e4d8df74d5f18d2f00e
|
200,407 |
[
{
"id": 1057598111108829200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 04:57:18",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057604236038381600,
"author_id": 665639285050966000,
"author_name": "LikiKush",
"timestamp": "12/28/2022 05:21:39",
"content": "Show that AX=B always holds if: rank A <= rank(A|B)<= rank A + 1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057604238567542800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 05:21:39",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057604236038381600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057604289935196200,
"author_id": 665639285050966000,
"author_name": "LikiKush",
"timestamp": "12/28/2022 05:21:52",
"content": "Can someone plssss help me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057604369316585500,
"author_id": 665639285050966000,
"author_name": "LikiKush",
"timestamp": "12/28/2022 05:22:10",
"content": "A en B are matrix",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057608145083572200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 05:37:11",
"content": "@LikiKush Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 665639285050966000,
"name": "LikiKush",
"discriminator": "1717",
"nickname": "LikiKush",
"isBot": false
}
],
"reference": null
},
{
"id": 1057611921777496000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 05:52:11",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
764ebbfe391f4ed380a830305a5ccf56
|
200,408 |
[
{
"id": 1057612174698233900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 05:53:11",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057620049327816700,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/28/2022 06:24:29",
"content": "I'm stuck with an exercise on splitting into partial fractions",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057620051315933200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 06:24:29",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057620049327816700,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057620167976308900,
"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "12/28/2022 06:24:57",
"content": "Hlo",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057620237698224100,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/28/2022 06:25:14",
"content": "hi",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057620274964607000,
"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "12/28/2022 06:25:23",
"content": "Send question and work",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057620378882670600,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/28/2022 06:25:47",
"content": "i'm sending it now",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057620400038748200,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/28/2022 06:25:53",
"content": "thankyou for reply",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057620500601389000,
"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "12/28/2022 06:26:16",
"content": ":glassescat:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057620554535936000,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/28/2022 06:26:29",
"content": "",
"attachments": [
{
"id": 1057620554259103900,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057620554259103815/IMG_1237.HEIC",
"fileName": "IMG_1237.HEIC",
"fileSizeBytes": 1318643
}
],
"mentions": [],
"reference": null
},
{
"id": 1057620608587927700,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/28/2022 06:26:42",
"content": "I don't know how to proceed",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057620636278730800,
"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "12/28/2022 06:26:49",
"content": "What monstrosity is this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057620729711050800,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/28/2022 06:27:11",
"content": "Can you help me or not",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057620754474209300,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/28/2022 06:27:17",
"content": "Or is everything fault",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057620858744614900,
"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "12/28/2022 06:27:42",
"content": "The image files not loading for me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057620866579562500,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/28/2022 06:27:44",
"content": "I'm dutch so there are some dutch words/explanation",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057621105520685200,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/28/2022 06:28:41",
"content": "wait i'm sorry",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057621142183096300,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/28/2022 06:28:49",
"content": "I'm going to do it again sending the image",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057621315093282800,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/28/2022 06:29:31",
"content": "and now?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057621324324942000,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/28/2022 06:29:33",
"content": "",
"attachments": [
{
"id": 1057621323834212400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057621323834212352/8F2FC013-0146-4130-BC6D-8532183F4879.jpg",
"fileName": "8F2FC013-0146-4130-BC6D-8532183F4879.jpg",
"fileSizeBytes": 3444548
}
],
"mentions": [],
"reference": null
},
{
"id": 1057621395443556400,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/28/2022 06:29:50",
"content": "I know there is a fault",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057621481993015400,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/28/2022 06:30:10",
"content": "@Helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057621786365272000,
"author_id": 417404310427795460,
"author_name": "XpertTiger",
"timestamp": "12/28/2022 06:31:23",
"content": ",rccw",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057621795940872200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/28/2022 06:31:25",
"content": "",
"attachments": [
{
"id": 1057621795689209900,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057621795689209876/417404310427795456.png",
"fileName": "417404310427795456.png",
"fileSizeBytes": 1042183
}
],
"mentions": [],
"reference": null
},
{
"id": 1057622796122980400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/28/2022 06:35:24",
"content": "**XpertTiger**",
"attachments": [
{
"id": 1057622795938443300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057622795938443264/417404310427795456.png",
"fileName": "417404310427795456.png",
"fileSizeBytes": 6294
}
],
"mentions": [],
"reference": null
},
{
"id": 1057622926783959000,
"author_id": 417404310427795460,
"author_name": "XpertTiger",
"timestamp": "12/28/2022 06:35:55",
"content": "@ayoubie",
"attachments": [],
"mentions": [
{
"id": 968829547481010200,
"name": "ayoubie",
"discriminator": "1195",
"nickname": "ayoubie",
"isBot": false
}
],
"reference": null
},
{
"id": 1057625135420551200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/28/2022 06:44:42",
"content": "**XpertTiger**",
"attachments": [
{
"id": 1057625135244398700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057625135244398672/417404310427795456.png",
"fileName": "417404310427795456.png",
"fileSizeBytes": 10561
}
],
"mentions": [],
"reference": null
},
{
"id": 1057625946309529600,
"author_id": 417404310427795460,
"author_name": "XpertTiger",
"timestamp": "12/28/2022 06:47:55",
"content": "then u can separate them to $\\frac{A}{x}-\\frac{B}{x-1}+\\frac{C}{\\left(x-1\\right)^2}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057625955960631300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/28/2022 06:47:57",
"content": "**XpertTiger**",
"attachments": [
{
"id": 1057625955742523400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057625955742523392/417404310427795456.png",
"fileName": "417404310427795456.png",
"fileSizeBytes": 16871
}
],
"mentions": [],
"reference": null
},
{
"id": 1057626181580623900,
"author_id": 417404310427795460,
"author_name": "XpertTiger",
"timestamp": "12/28/2022 06:48:51",
"content": "after that you gotta make the denominators the same and place a root to find the A,B,C",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057626318411419600,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/28/2022 06:49:24",
"content": "Thankyouu so mucchh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057626435667366000,
"author_id": 417404310427795460,
"author_name": "XpertTiger",
"timestamp": "12/28/2022 06:49:52",
"content": "yw",
"attachments": [],
"mentions": [
{
"id": 968829547481010200,
"name": "ayoubie",
"discriminator": "1195",
"nickname": "ayoubie",
"isBot": false
}
],
"reference": null
},
{
"id": 1057630094581059600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 07:04:24",
"content": "@ayoubie Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 968829547481010200,
"name": "ayoubie",
"discriminator": "1195",
"nickname": "ayoubie",
"isBot": false
}
],
"reference": null
},
{
"id": 1057637686615216100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 07:34:34",
"content": "@ayoubie Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 968829547481010200,
"name": "ayoubie",
"discriminator": "1195",
"nickname": "ayoubie",
"isBot": false
}
],
"reference": null
},
{
"id": 1057639224704245900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 07:40:41",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
4b158ecb0d8a4f489427e1d9b3c6d465
|
200,409 |
[
{
"id": 1057639476198907900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 07:41:41",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057644392892080300,
"author_id": 246297096595046400,
"author_name": "pTinosq",
"timestamp": "12/28/2022 08:01:13",
"content": "Hey guys, not really a mathematics question but I'm looking for help with problem solving so I figured this would be a good place to start.\n\nI'm trying to write a piece of software that estimates the price of a freelance project given a set of criteria. For example, a website development project may have the following criteria:\n```\nWebsite style: none, simple, complex\nWebsite content: static, dynamic\nNumber of pages: 1, 2-5, 5-10, 10-25 ... 100+\nConnection to CMS? yes/no\nAnalytics? yes/no\netc.\n```\n\nWhere would I even start with coming up with a system to do this?\n\nAll I know is approximately that I want, for example, a simple, static, 5-10 page website without any extra features to cost $1000. Given information like that, what'd be the best way to backtrack to develop an algorithm to calculate the price of a project based on those values?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057644395228319700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 08:01:13",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057644392892080300,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057645156439953500,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/28/2022 08:04:15",
"content": "so u want to be able to predict a price, given some like features",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057645208466108400,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/28/2022 08:04:27",
"content": "if u have many examples of prices and features",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057645224865845200,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/28/2022 08:04:31",
"content": "u can use linear regression",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057645523177312300,
"author_id": 246297096595046400,
"author_name": "pTinosq",
"timestamp": "12/28/2022 08:05:42",
"content": "Yeah I can come up with some expected values based on different features",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057645669533368300,
"author_id": 246297096595046400,
"author_name": "pTinosq",
"timestamp": "12/28/2022 08:06:17",
"content": "Now how would I put linear regression into practice?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057649445614919700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 08:21:18",
"content": "@pTinosq Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 246297096595046400,
"name": "pTinosq",
"discriminator": "7422",
"nickname": "pTinosq",
"isBot": false
}
],
"reference": null
},
{
"id": 1057657028912369700,
"author_id": 246297096595046400,
"author_name": "pTinosq",
"timestamp": "12/28/2022 08:51:26",
"content": "!close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057657073128706000,
"author_id": 246297096595046400,
"author_name": "pTinosq",
"timestamp": "12/28/2022 08:51:36",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057657076261851100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 08:51:37",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
2f7c6041309f4198973e61faafb87478
|
200,410 |
[
{
"id": 1034988986491478000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 20:36:43",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034990655665086600,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 20:43:21",
"content": "hi",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034990658005520500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 20:43:22",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1034990655665086600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1034990705459876000,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 20:43:33",
"content": "**if you know that Pr(E|H) is very high, then you find out E is true, does it logically follow that Pr(H) is very high?**",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034993240128106500,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 20:53:37",
"content": "@Helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034994271427764400,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 20:57:43",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034997015811195000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 21:08:37",
"content": "@spookyjay Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 740305018833338400,
"name": "spookyjay",
"discriminator": "8005",
"nickname": "spookyjay",
"isBot": false
}
],
"reference": null
},
{
"id": 1034997205859319800,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:09:23",
"content": "why?",
"attachments": [],
"mentions": [
{
"id": 860253495583572000,
"name": "luckydongdong",
"discriminator": "4067",
"nickname": "luckydongdong",
"isBot": false
}
],
"reference": null
},
{
"id": 1034997257688330400,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:09:35",
"content": "could u explain w logic bc i said",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034997310645600300,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:09:48",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034997319688532000,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:09:50",
"content": "but",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034997328567881700,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:09:52",
"content": "i think no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034997776284655600,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:11:39",
"content": "what's the definition of P(E|H)?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034997836569387100,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:11:53",
"content": "probability of h given e occured",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034997864725749800,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:12:00",
"content": "but lets say h is a disease",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034997918555451400,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:12:13",
"content": "a disease with 1/100,000,000 cases",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034998031600324600,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:12:40",
"content": "e is a true positive test",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034998122461528200,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:13:01",
"content": "having the disease and a true positive is ode less",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034998387201810400,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:14:04",
"content": "yeah, and if E is 1, it means E always happens, so P(E|H) = P(H)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034998513353904300,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:14:34",
"content": "what",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034998520605835300,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:14:36",
"content": "no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034998585063915600,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:14:52",
"content": "can u explain bc stating doesnt mean its right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034998624783970400,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:15:01",
"content": "E is true",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034998659860942800,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:15:09",
"content": "so someone did get a true positivve",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034998711551533000,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:15:22",
"content": "but the pr(h), getting the disease, is still low",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034998725656989700,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:15:25",
"content": "so like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034998729490579500,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:15:26",
"content": "why",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1034998764110352500,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:15:34",
"content": "why are u saying ur answer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035000874302460000,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:23:57",
"content": "E has nothing to do with someone getting a positive",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001020595572700,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:24:32",
"content": "E is a certain event, meaning it's like a probability of someone who already has a positive virus, testing positive",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001120701038700,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:24:56",
"content": "but explain ur reasoning",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001131249709000,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:24:59",
"content": "bc youre saying yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001142968598700,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:25:01",
"content": "but not explaining",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001150698696800,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:25:03",
"content": "conceptually",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001261327646800,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:25:30",
"content": "like conceptually, not this a lil bit more",
"attachments": [],
"mentions": [
{
"id": 860253495583572000,
"name": "luckydongdong",
"discriminator": "4067",
"nickname": "luckydongdong",
"isBot": false
}
],
"reference": null
},
{
"id": 1035001272992022500,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:25:32",
"content": "ok, let's say:\nE = probability of Sun rising from the east\nH = probability of me failing in my test",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001289962160100,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:25:36",
"content": "yes yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001309297901600,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:25:41",
"content": "P(H) = P(E|H)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001372858384400,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:25:56",
"content": "because P(E) doesn't affect P(E|H) in any way",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001531465994200,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:26:34",
"content": "if I have 90% of failing in my test, I would still get 90% chance of failing even though on christmas, the sun rises from the east 🙂",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001604505604200,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:26:51",
"content": "so youre changing ur original answer?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001610423771100,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:26:53",
"content": "because this E event is a SURE event and does not affect any other events in the universe",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001631814734000,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:26:58",
"content": "no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001648055058600,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:27:02",
"content": "you said yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001651389530100,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:27:03",
"content": "I said P(E|H) = P(H)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001671652220900,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:27:07",
"content": "but u just explained no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001731152609300,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:27:22",
"content": "I think you need to learn how to read",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001794671153200,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:27:37",
"content": "so if the pr(e) is high, sun setting in the east or whatever",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001810819231900,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:27:41",
"content": "i said if P(H) is very high, and if P(E) is very high, P(E|H) is still high",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001824337481900,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:27:44",
"content": "you just said theyre independent events",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001843513831400,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:27:48",
"content": "no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001933662011400,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:28:10",
"content": "the question only says P(E) is high, so specifically with your example why would H be high too",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001970613829600,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:28:19",
"content": "bc, in ur example, theyre independent events... therefore having no effect on eachother's probability",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035001985495203800,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:28:22",
"content": "chill",
"attachments": [],
"mentions": [
{
"id": 860253495583572000,
"name": "luckydongdong",
"discriminator": "4067",
"nickname": "luckydongdong",
"isBot": false
}
],
"reference": null
},
{
"id": 1035002190063992800,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:29:11",
"content": "isn't this your question?",
"attachments": [],
"mentions": [
{
"id": 740305018833338400,
"name": "spookyjay",
"discriminator": "8005",
"nickname": "spookyjay",
"isBot": false
}
],
"reference": null
},
{
"id": 1035002338181656700,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:29:46",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035002348529004700,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:29:49",
"content": "but even if yk",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035002391390584800,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:29:59",
"content": "why like straight up",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035002400366395400,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:30:01",
"content": "something like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035002453009113200,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:30:14",
"content": "bayes' theorem [other stuff idk]",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035002503605014500,
"author_id": 806602216810610700,
"author_name": "Rip",
"timestamp": "10/26/2022 21:30:26",
"content": "Is someone asking a question here?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035002526149390300,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:30:31",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035002545384456300,
"author_id": 806602216810610700,
"author_name": "Rip",
"timestamp": "10/26/2022 21:30:36",
"content": "Ok.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035002694563266700,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:31:11",
"content": "ok, so I admit I was explaining it in a bit confusing way",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035002705518788700,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:31:14",
"content": "so, let's start again",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035002722925158400,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:31:18",
"content": "Pr(E|H) is very high",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035002746908196900,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:31:24",
"content": "what does it mean conceptually?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035003002098040800,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:32:25",
"content": "The probability of H given E occurred, therefore the probability of H occurring given E already occurred is high",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035003253856948200,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:33:25",
"content": "ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035003259250806900,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:33:26",
"content": "*i believe*",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035003472766050400,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:34:17",
"content": "let's take an example. E: probability of choosing an even number from natural numbers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035003608397262800,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:34:49",
"content": "H: probability of choosing a number divisible by 4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035004136766308400,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:36:55",
"content": "ok yees",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035004203787112400,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:37:11",
"content": "also, if the notation is P(E|H), it means the probability of E happening once H occurred",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035004491218559000,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:38:20",
"content": "it's been a while I studied probabilities, so I confused it, but P(E|H) means E's probability when H occurred, not vice versa",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035004538094100600,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:38:31",
"content": "so, the answer to your question is no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035004559023677600,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:38:36",
"content": "P(E|H) probably of A (occurring) given B is true (occurred)",
"attachments": [
{
"id": 1035004558612648100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1035004558612648007/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 6533
}
],
"mentions": [],
"reference": null
},
{
"id": 1035004648697897000,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:38:57",
"content": "right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035004701596467200,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:39:10",
"content": "so B is what happens first, A is what happens",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035004720307249200,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:39:14",
"content": "so the first way we said it was right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035005574787633200,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:42:38",
"content": "(also by chance are you versed in argument mapping and/or derivations?)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035005710959902800,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:43:10",
"content": "yeah fire away",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035005765137735800,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:43:23",
"content": "it's a bit, is that alright?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035005975368847500,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:44:14",
"content": "I'll try",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035006005043527700,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:44:21",
"content": "if I don't know the answer I'll let u know",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035006597275062400,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:46:42",
"content": "Just to tidy this up first though: Since this shows P(E|H) means probably of E (occurring/truth) given that H is true (occurred) and the question states that we know the probability of E occurring is very high and the Pr(E|H) itself is high... it logically follows that Pr(H) is very high because Bayes' Theorem tells us that its a relationship that occurs. If it is a high probability that H occurring results in the truth/occurrence of E, then H occurring is likely if E is proven to already.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035006896526086100,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:47:53",
"content": "**before sending the other stuff**",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035006924376260600,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:48:00",
"content": "no, it's not right.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035006945209360400,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:48:05",
"content": ";-;",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035006998187626600,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:48:17",
"content": "even though P(E|H) is very high and E is true, we don't know whether P(H) is high or low",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035007026943754200,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:48:24",
"content": "but u said yes that P(H) is high earlier",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035007044475949000,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:48:28",
"content": "because P(E|H) = P(E*H) / P(H)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035007094136516600,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:48:40",
"content": "yeah that's because I confused the order of E|H",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035007198075568100,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:49:05",
"content": "but E follows H right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035007276253196300,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:49:24",
"content": "and H is high",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035007407622983800,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:49:55",
"content": "and the probability of P(E|H) is high, aka the probability of E occurring given H occurred is high",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035007568302583800,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 21:50:33",
"content": "could you explain the because of this?",
"attachments": [],
"mentions": [
{
"id": 860253495583572000,
"name": "luckydongdong",
"discriminator": "4067",
"nickname": "luckydongdong",
"isBot": false
}
],
"reference": null
},
{
"id": 1035009921617514500,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 21:59:54",
"content": "ok, let's try again",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035010079633707100,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 22:00:32",
"content": "let's imagine that your class has 25 boys and 25 girls",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035010234441273300,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 22:01:09",
"content": "and 24 out of 25 boys like apples",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035010401185845200,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 22:01:49",
"content": "H: picking a boy from randomly choosing any person in your class\nE: picking a person that like apples",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035010456672272400,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 22:02:02",
"content": "let's suppose all girls hate apples",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035010476540702700,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 22:02:07",
"content": "what's P(H)?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035010656816091100,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:02:50",
"content": "P(H) is the probability of picking a boy from randomly choosing any person in your clas",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035010667066962000,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:02:52",
"content": "class*",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035010752601395300,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 22:03:12",
"content": "yeah, I mean what's the value of P(H)?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035010860936085600,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:03:38",
"content": "50%",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035010873900662900,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 22:03:41",
"content": "correct",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035010890006790100,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 22:03:45",
"content": "how about P(E)?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035011049449078900,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 22:04:23",
"content": "it's 24/50 right?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035011074472288400,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:04:29",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035011082269507700,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:04:31",
"content": "no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035011101395517400,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:04:36",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035011105610797200,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:04:37",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035011248401694800,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 22:05:11",
"content": "ok, how about P(E|H)?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035011825433051100,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 22:07:28",
"content": "it's 24/25",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035011949244723200,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:07:58",
"content": "P(E)-- probability of picking someone who likes apples (24/50)..................... P(H)-- probability of picking a boy from the class 25/50.......... so in this case P(E|H) e given h occurs....... if its out of the boys its high but otherwise",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035011951996182700,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 22:07:58",
"content": "because we know we picked a boy, and then need to calculate the probability that he likes apples",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035011968664338400,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:08:02",
"content": "idk who they effect eachother",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035012629380472800,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:10:40",
"content": "because it seems like two events of picking two independent things",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035012689677779000,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:10:54",
"content": "or is that what you are talking about",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035012739720032400,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:11:06",
"content": "bc i thought bayes' theorem was for dependent events",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035015142439665700,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:20:39",
"content": "even with understanding that P(E|H) means probability of E given H occuring-- you still thinking if P(E|H) is high already and E occurred that H isn't also highly likely? Bc its not saying its not its just saying the p is high. Because P(E|H) being high so its highly likely that E occurred following H occuring",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035015220751499300,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:20:58",
"content": "so its highly E would occur if H did, but E did occur so by correlation H could be hihg",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035016188738154500,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:24:49",
"content": "--",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035016191703515300,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:24:49",
"content": "--",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035016210934399000,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:24:54",
"content": "This is the other stuff @luckydongdong",
"attachments": [],
"mentions": [
{
"id": 860253495583572000,
"name": "luckydongdong",
"discriminator": "4067",
"nickname": "luckydongdong",
"isBot": false
}
],
"reference": null
},
{
"id": 1035016403276795900,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:25:40",
"content": "Hint: Draw the maps of these argument. There are numerous intermediate conclusions in the argument that ultimately lead up to the final conclusion, and there are subarguments that lead up to those intermediate conclusions.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035016435908477000,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:25:47",
"content": "",
"attachments": [
{
"id": 1035016435539382300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1035016435539382282/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 293048
}
],
"mentions": [],
"reference": null
},
{
"id": 1035016526232821900,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:26:09",
"content": "--",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035016533719662700,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:26:11",
"content": "",
"attachments": [
{
"id": 1035016533325402100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1035016533325402122/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 92622
}
],
"mentions": [],
"reference": null
},
{
"id": 1035016778591510700,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:27:09",
"content": "",
"attachments": [
{
"id": 1035016778314682500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1035016778314682451/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 15554
}
],
"mentions": [],
"reference": null
},
{
"id": 1035017364779045000,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:29:29",
"content": "",
"attachments": [
{
"id": 1035017364443496400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1035017364443496509/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 24170
}
],
"mentions": [],
"reference": null
},
{
"id": 1035017558048391200,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:30:15",
"content": "This is what i put for the easy but i have no idea how to do derivations",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035017563538731000,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:30:16",
"content": "tbh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035017567519113200,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:30:17",
"content": "",
"attachments": [
{
"id": 1035017567187775600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1035017567187775568/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 56259
}
],
"mentions": [],
"reference": null
},
{
"id": 1035019985321463800,
"author_id": 860253495583572000,
"author_name": "luckydongdong",
"timestamp": "10/26/2022 22:39:54",
"content": "ok, what are EASY, MEDIUM, HARD arguments by definition?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035021200809787400,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:44:44",
"content": "what?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035021229242978300,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:44:50",
"content": "i chose the medium and easy ones already",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035021248473878500,
"author_id": 740305018833338400,
"author_name": "spookyjay",
"timestamp": "10/26/2022 22:44:55",
"content": "those are just what i have to do",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035028800142049400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/26/2022 23:14:55",
"content": "@spookyjay Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 740305018833338400,
"name": "spookyjay",
"discriminator": "8005",
"nickname": "spookyjay",
"isBot": false
}
],
"reference": null
},
{
"id": 1035044386347700400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 00:16:51",
"content": "@spookyjay Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 740305018833338400,
"name": "spookyjay",
"discriminator": "8005",
"nickname": "spookyjay",
"isBot": false
}
],
"reference": null
},
{
"id": 1035077533529538600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 02:28:34",
"content": "@spookyjay Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 740305018833338400,
"name": "spookyjay",
"discriminator": "8005",
"nickname": "spookyjay",
"isBot": false
}
],
"reference": null
},
{
"id": 1035107734544203800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 04:28:35",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
d61750293d6a4cb98066ed20ad183c20
|
200,411 |
[
{
"id": 1057657328658288600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 08:52:37",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057660799998492700,
"author_id": 461480160869220350,
"author_name": "Say",
"timestamp": "12/28/2022 09:06:25",
"content": "I have th following problem : ABC is a triangle and m a Real number\n\nDetermine m so Gm is the barycenter of : (A;5) (B;m) (C;-5)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057660806482907100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 09:06:26",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057660799998492700,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057661369639506000,
"author_id": 461480160869220350,
"author_name": "Say",
"timestamp": "12/28/2022 09:08:40",
"content": "I tried to consider H",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057661464690839700,
"author_id": 461480160869220350,
"author_name": "Say",
"timestamp": "12/28/2022 09:09:03",
"content": "H=bar{(A;5)(C;-5)}",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057661539726938100,
"author_id": 461480160869220350,
"author_name": "Say",
"timestamp": "12/28/2022 09:09:21",
"content": "And used the propriety",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057661555073888300,
"author_id": 461480160869220350,
"author_name": "Say",
"timestamp": "12/28/2022 09:09:25",
"content": "Giving me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057661646824284300,
"author_id": 461480160869220350,
"author_name": "Say",
"timestamp": "12/28/2022 09:09:47",
"content": "Gm={(H;0)(B;m)}",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057661680219332700,
"author_id": 461480160869220350,
"author_name": "Say",
"timestamp": "12/28/2022 09:09:54",
"content": "Wich gives",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057661740474708000,
"author_id": 461480160869220350,
"author_name": "Say",
"timestamp": "12/28/2022 09:10:09",
"content": "mGB=0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057661932276035600,
"author_id": 461480160869220350,
"author_name": "Say",
"timestamp": "12/28/2022 09:10:55",
"content": "But its a dead end basicly",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057662375966290000,
"author_id": 461480160869220350,
"author_name": "Say",
"timestamp": "12/28/2022 09:12:40",
"content": "Cuz m must be different from 0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057666152135921800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 09:27:41",
"content": "@Say Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 461480160869220350,
"name": "Say",
"discriminator": "2588",
"nickname": "Say",
"isBot": false
}
],
"reference": null
},
{
"id": 1057673727602589800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 09:57:47",
"content": "@Say Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 461480160869220350,
"name": "Say",
"discriminator": "2588",
"nickname": "Say",
"isBot": false
}
],
"reference": null
},
{
"id": 1057675215326433400,
"author_id": 773634907913846800,
"author_name": "Pealover",
"timestamp": "12/28/2022 10:03:41",
"content": "Well...",
"attachments": [],
"mentions": [
{
"id": 461480160869220350,
"name": "Say",
"discriminator": "2588",
"nickname": "Say",
"isBot": false
}
],
"reference": null
},
{
"id": 1057675314525913100,
"author_id": 773634907913846800,
"author_name": "Pealover",
"timestamp": "12/28/2022 10:04:05",
"content": "You do realize that H can't exist",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057675349351206900,
"author_id": 773634907913846800,
"author_name": "Pealover",
"timestamp": "12/28/2022 10:04:13",
"content": "Right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057682141900705800,
"author_id": 461480160869220350,
"author_name": "Say",
"timestamp": "12/28/2022 10:31:13",
"content": "Ohh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057682148611596300,
"author_id": 461480160869220350,
"author_name": "Say",
"timestamp": "12/28/2022 10:31:15",
"content": "yea mb",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057697249095852000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 11:31:15",
"content": "@Say Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 461480160869220350,
"name": "Say",
"discriminator": "2588",
"nickname": "Say",
"isBot": false
}
],
"reference": null
},
{
"id": 1057699213649121300,
"author_id": 461480160869220350,
"author_name": "Say",
"timestamp": "12/28/2022 11:39:03",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057699216358654100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 11:39:04",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
43765c6f94f143bc991f286988304334
|
200,412 |
[
{
"id": 1057700944911012000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 11:45:56",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057702006539681900,
"author_id": 540300959302287360,
"author_name": "Abhi K.",
"timestamp": "12/28/2022 11:50:09",
"content": "",
"attachments": [
{
"id": 1057702006329970700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057702006329970699/IMG_8366.jpg",
"fileName": "IMG_8366.jpg",
"fileSizeBytes": 162905
}
],
"mentions": [],
"reference": null
},
{
"id": 1057702009689612300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 11:50:10",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057702006539681900,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057702200081662100,
"author_id": 540300959302287360,
"author_name": "Abhi K.",
"timestamp": "12/28/2022 11:50:55",
"content": "How did ax^2 - 2ab = 4x^2 - 12 simplify to -ab = -12",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057702261440135300,
"author_id": 540300959302287360,
"author_name": "Abhi K.",
"timestamp": "12/28/2022 11:51:10",
"content": "-2ab*",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057702345447833600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/28/2022 11:51:30",
"content": "Compare terms",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057702461344862200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/28/2022 11:51:57",
"content": "If\n\nA - B = C - D\n\nIt is logical to assume that A = C, B = D",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057702566894506100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/28/2022 11:52:23",
"content": "It's one shortcut way to find solutions",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057702590089015400,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/28/2022 11:52:28",
"content": "It's not guaranteed to work all the time",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057702765645795500,
"author_id": 161923823380201470,
"author_name": "Dmytr",
"timestamp": "12/28/2022 11:53:10",
"content": "Nope. 8-5 = 4-1, yet 8 doesn't necessarily equal 4 and neither does 5 equal 1. However in the above case, it's guaranteed to work, because we compare polynomials",
"attachments": [],
"mentions": [
{
"id": 349354952961032200,
"name": "Umbraleviathan",
"discriminator": "3607",
"nickname": "Umbraleviathan",
"isBot": false
}
],
"reference": null
},
{
"id": 1057702804854149200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/28/2022 11:53:19",
"content": "_ _",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057702877788909700,
"author_id": 161923823380201470,
"author_name": "Dmytr",
"timestamp": "12/28/2022 11:53:37",
"content": "And if two polynomials are exactly equal everywhere, then we can prove that their coefficients are also equal.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057702882486538400,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/28/2022 11:53:38",
"content": "I explained it's a shortcut way",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057702928217014300,
"author_id": 161923823380201470,
"author_name": "Dmytr",
"timestamp": "12/28/2022 11:53:49",
"content": "It's a terrible shortcut that will lead to mistakes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057703396934680600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/28/2022 11:55:41",
"content": "Eh in this case it works out fine",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057703443113971700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/28/2022 11:55:52",
"content": "Typically if I were to do it I would do actual algebra just to see if there's any more",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057703920555786200,
"author_id": 161923823380201470,
"author_name": "Dmytr",
"timestamp": "12/28/2022 11:57:45",
"content": "and in hundreds of other cases it won't. It's not a shortcut, it's a broken wall clock, only correct 2 times a day.\n\nI presented the proper reasoning above, which works for all cases and isn't any longer than your shortcut",
"attachments": [],
"mentions": [
{
"id": 349354952961032200,
"name": "Umbraleviathan",
"discriminator": "3607",
"nickname": "Umbraleviathan",
"isBot": false
}
],
"reference": null
},
{
"id": 1057704520328679400,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/28/2022 12:00:08",
"content": "Yeah I guess",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057706037257445500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 12:06:10",
"content": "@Abhi K. Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 540300959302287360,
"name": "Abhi K.",
"discriminator": "7428",
"nickname": "Abhi K.",
"isBot": false
}
],
"reference": null
},
{
"id": 1057709814005903400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 12:21:10",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
a493fe6da1404180ba091371c3d01113
|
200,413 |
[
{
"id": 1057710066372968400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 12:22:11",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057710988318740600,
"author_id": 858337734568575000,
"author_name": "phongtintruong",
"timestamp": "12/28/2022 12:25:50",
"content": "I'm struggling to find the law of this: 1,2,3,4,4,5,8,11,12,14,21,20,35,40,56,... Do you have any idea?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057710990680133800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 12:25:51",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057710988318740600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057711999364124700,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/28/2022 12:29:51",
"content": ",w 1 2 3 4 4 5 8 11 12 14 21 20 35 40 56",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057712021103202400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/28/2022 12:29:57",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057712451036131500,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/28/2022 12:31:39",
"content": "No rule",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057712607634673800,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/28/2022 12:32:17",
"content": "Haha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057712681982886000,
"author_id": 858337734568575000,
"author_name": "phongtintruong",
"timestamp": "12/28/2022 12:32:34",
"content": "can you prove it to me?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057713582399303700,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/28/2022 12:36:09",
"content": "Technically given any set of points you should be able to find some polynomial interpolating between them",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057713681829470300,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/28/2022 12:36:33",
"content": "But there's no guarantee that it will line up and look like the pattern you had in mind",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057714006007230600,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "12/28/2022 12:37:50",
"content": "I don't think polynomials work here either because of the repeating 4's",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057714118397788200,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "12/28/2022 12:38:17",
"content": "i dont see how thats a problem for polynomials",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057714167596982400,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/28/2022 12:38:28",
"content": "Polynomials needn't be injective",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057714277852655600,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "12/28/2022 12:38:55",
"content": "just some weird 15 degree polynomial or something",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057714392323604500,
"author_id": 591872343320821800,
"author_name": "Doggo",
"timestamp": "12/28/2022 12:39:22",
"content": "I was thinking (x - a_0)(x - a_1)... would be how we'd create a polynomial for this but am I missing something?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057714612390351000,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/28/2022 12:40:14",
"content": "System of eqns in the coefficients pretty much",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057714800660066400,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "12/28/2022 12:40:59",
"content": "we need to set\n\np(x) = a_1 x^14 + a_13 x^13 + ... + a_0\nand then solve\np(0) = 1\np(1) = 2\n...\np(14) = 56\nfor the coefficients",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057715083465211900,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "12/28/2022 12:42:07",
"content": "so do some gauss on a 15x15 matrix but .. i guess thats not what op needs",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057716457762455600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 12:47:34",
"content": "@phongtintruong Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 858337734568575000,
"name": "phongtintruong",
"discriminator": "4598",
"nickname": "phongtintruong",
"isBot": false
}
],
"reference": null
},
{
"id": 1057716547617050800,
"author_id": 858337734568575000,
"author_name": "phongtintruong",
"timestamp": "12/28/2022 12:47:56",
"content": "i don't understand this, why can it show the rule of the sequence? firstly, i think there's a recursion formula for this sequence, is it possible?",
"attachments": [],
"mentions": [
{
"id": 737614205003497500,
"name": "rbit ✨",
"discriminator": "4860",
"nickname": "rbit ✨",
"isBot": false
}
],
"reference": null
},
{
"id": 1057716973884149900,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "12/28/2022 12:49:38",
"content": "surely theres some smart rule for it, but i couldnt see it yet\ndoing it with polynomials is just .. the dumb way that always works",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057717425606496300,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/28/2022 12:51:25",
"content": "1 1 1 0 1 3 3 1 2 7 -1 15 5 16",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057717920710533200,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/28/2022 12:53:23",
"content": "0 0 -1 1 2 0 -2 1 5 -8 16 -10 11",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057718011886321800,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/28/2022 12:53:45",
"content": "We can keep going but there's no real pattern. It's just a 15th degree polynomial",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057718463285694700,
"author_id": 858337734568575000,
"author_name": "phongtintruong",
"timestamp": "12/28/2022 12:55:33",
"content": "oh, that dumb way is to use interpolation to find the next element? did i understand you correctly?",
"attachments": [],
"mentions": [
{
"id": 737614205003497500,
"name": "rbit ✨",
"discriminator": "4860",
"nickname": "rbit ✨",
"isBot": false
}
],
"reference": null
},
{
"id": 1057718528410648600,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "12/28/2022 12:55:48",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057719274438938600,
"author_id": 858337734568575000,
"author_name": "phongtintruong",
"timestamp": "12/28/2022 12:58:46",
"content": "yes",
"attachments": [],
"mentions": [
{
"id": 910777539444744200,
"name": "Mr. Gamer",
"discriminator": "6658",
"nickname": "Mr. Gamer",
"isBot": false
}
],
"reference": null
},
{
"id": 1057719711930003600,
"author_id": 858337734568575000,
"author_name": "phongtintruong",
"timestamp": "12/28/2022 13:00:30",
"content": "thank you guys, ill check the question with the professor",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057727262587375600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 13:30:31",
"content": "@phongtintruong Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 858337734568575000,
"name": "phongtintruong",
"discriminator": "4598",
"nickname": "phongtintruong",
"isBot": false
}
],
"reference": null
},
{
"id": 1057734814398165000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 14:00:31",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
31fecb5d0d844bdebae94000481041f9
|
200,414 |
[
{
"id": 1057735066173833300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 14:01:31",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057735768270975100,
"author_id": 1056023376260513800,
"author_name": "WomanInvestigator",
"timestamp": "12/28/2022 14:04:18",
"content": "",
"attachments": [
{
"id": 1057735767813787600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057735767813787689/20221228_140307.jpg",
"fileName": "20221228_140307.jpg",
"fileSizeBytes": 56712
}
],
"mentions": [],
"reference": null
},
{
"id": 1057735773446742000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 14:04:20",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057735768270975100,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057735906427162600,
"author_id": 1056023376260513800,
"author_name": "WomanInvestigator",
"timestamp": "12/28/2022 14:04:51",
"content": "Ended up with (x-3)/-x(x+3)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057735937464996000,
"author_id": 1056023376260513800,
"author_name": "WomanInvestigator",
"timestamp": "12/28/2022 14:04:59",
"content": "Which is apparently wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057735961519325300,
"author_id": 1056023376260513800,
"author_name": "WomanInvestigator",
"timestamp": "12/28/2022 14:05:05",
"content": "Simplify btw",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057736309755629700,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "12/28/2022 14:06:28",
"content": "Show ur work",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057736560080068600,
"author_id": 1056023376260513800,
"author_name": "WomanInvestigator",
"timestamp": "12/28/2022 14:07:27",
"content": "",
"attachments": [
{
"id": 1057736559757119500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057736559757119528/20221228_140655.jpg",
"fileName": "20221228_140655.jpg",
"fileSizeBytes": 287569
}
],
"mentions": [
{
"id": 307914411648090100,
"name": "Stephen",
"discriminator": "4771",
"nickname": "Stephen",
"isBot": false
}
],
"reference": null
},
{
"id": 1057736735087394800,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/28/2022 14:08:09",
"content": "your answer is correct",
"attachments": [],
"mentions": [
{
"id": 1056023376260513800,
"name": "WomanInvestigator",
"discriminator": "5500",
"nickname": "WomanInvestigator",
"isBot": false
}
],
"reference": null
},
{
"id": 1057736754947424300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/28/2022 14:08:14",
"content": "**Mehdi\\_Moulati**",
"attachments": [
{
"id": 1057736754767073400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057736754767073412/942843959783333890.png",
"fileName": "942843959783333890.png",
"fileSizeBytes": 35109
}
],
"mentions": [],
"reference": null
},
{
"id": 1057737008430186500,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "12/28/2022 14:09:14",
"content": "Is there an answer key?",
"attachments": [],
"mentions": [
{
"id": 1056023376260513800,
"name": "WomanInvestigator",
"discriminator": "5500",
"nickname": "WomanInvestigator",
"isBot": false
}
],
"reference": null
},
{
"id": 1057737066777149400,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "12/28/2022 14:09:28",
"content": "Because ur final answer is correct",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057737330947002400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/28/2022 14:10:31",
"content": "Show the answer",
"attachments": [],
"mentions": [
{
"id": 1056023376260513800,
"name": "WomanInvestigator",
"discriminator": "5500",
"nickname": "WomanInvestigator",
"isBot": false
}
],
"reference": null
},
{
"id": 1057737736381010200,
"author_id": 1056023376260513800,
"author_name": "WomanInvestigator",
"timestamp": "12/28/2022 14:12:08",
"content": "",
"attachments": [
{
"id": 1057737736158728200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057737736158728192/20221228_141149.jpg",
"fileName": "20221228_141149.jpg",
"fileSizeBytes": 43811
}
],
"mentions": [],
"reference": null
},
{
"id": 1057737774662435100,
"author_id": 1056023376260513800,
"author_name": "WomanInvestigator",
"timestamp": "12/28/2022 14:12:17",
"content": "Bruh what blurry ass pic",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057737818446758000,
"author_id": 1056023376260513800,
"author_name": "WomanInvestigator",
"timestamp": "12/28/2022 14:12:27",
"content": "But yeah I thought I did everything right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057737883236184000,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "12/28/2022 14:12:43",
"content": "Same thing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057737925229551700,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "12/28/2022 14:12:53",
"content": "U got the right answer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057737938420629500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/28/2022 14:12:56",
"content": "**Mehdi\\_Moulati**",
"attachments": [
{
"id": 1057737938210922600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057737938210922628/942843959783333890.png",
"fileName": "942843959783333890.png",
"fileSizeBytes": 12685
}
],
"mentions": [],
"reference": null
},
{
"id": 1057737957718634600,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "12/28/2022 14:13:00",
"content": "^",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057738053361356900,
"author_id": 307914411648090100,
"author_name": "Stephen",
"timestamp": "12/28/2022 14:13:23",
"content": "It’s like how",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057738060072239200,
"author_id": 1056023376260513800,
"author_name": "WomanInvestigator",
"timestamp": "12/28/2022 14:13:25",
"content": "So you can just take the negative variable and put it up?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057738105089704000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/28/2022 14:13:36",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057738113084039200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/28/2022 14:13:37",
"content": "**Stephen**",
"attachments": [
{
"id": 1057738112899485700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057738112899485736/307914411648090113.png",
"fileName": "307914411648090113.png",
"fileSizeBytes": 4630
}
],
"mentions": [],
"reference": null
},
{
"id": 1057738213390815200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/28/2022 14:14:01",
"content": "Think of - as multiplying by (-1)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057738328922935400,
"author_id": 1056023376260513800,
"author_name": "WomanInvestigator",
"timestamp": "12/28/2022 14:14:29",
"content": "Oh, and would it be preferable for the positive to be ontop",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057738358463418500,
"author_id": 1056023376260513800,
"author_name": "WomanInvestigator",
"timestamp": "12/28/2022 14:14:36",
"content": "And the negative to be on the bottom",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057740960060166300,
"author_id": 1056023376260513800,
"author_name": "WomanInvestigator",
"timestamp": "12/28/2022 14:24:56",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057740962639650800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 14:24:57",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
aacf9bab8cf841a7bd40c07fcde518e3
|
200,415 |
[
{
"id": 1057768171123245000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 16:13:04",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057774159662424200,
"author_id": 958463481617723500,
"author_name": "ZTmat",
"timestamp": "12/28/2022 16:36:52",
"content": "",
"attachments": [
{
"id": 1057774159222014100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057774159222014062/Image_28-12-2022_at_21.29.jpg",
"fileName": "Image_28-12-2022_at_21.29.jpg",
"fileSizeBytes": 282361
},
{
"id": 1057774159461105800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057774159461105764/IMG_30A77FC8FDDA-1.jpg",
"fileName": "IMG_30A77FC8FDDA-1.jpg",
"fileSizeBytes": 74945
}
],
"mentions": [],
"reference": null
},
{
"id": 1057774162564886700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 16:36:52",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057774159662424200,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057774285969686700,
"author_id": 958463481617723500,
"author_name": "ZTmat",
"timestamp": "12/28/2022 16:37:22",
"content": "How do I find what (a,b,c,d) is for the basis of U containing basis UnW",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057778061791211600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 16:52:22",
"content": "@ZTmat Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 958463481617723500,
"name": "ZTmat",
"discriminator": "0419",
"nickname": "ZTmat",
"isBot": false
}
],
"reference": null
},
{
"id": 1057780632035532800,
"author_id": 958463481617723500,
"author_name": "ZTmat",
"timestamp": "12/28/2022 17:02:35",
"content": "Do I use a Change of basis matrix or is there an easier method?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057784011113640100,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "12/28/2022 17:16:00",
"content": "I don't see how a change of basis would help. Personally I'd have done it like the solution proposed: find a basis for UnW first, then just find a vector that completes it into a basis for U or W. Then the union of these bases is a basis for U + W",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057784302034747500,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "12/28/2022 17:17:10",
"content": "@Moderators even though pings don't work",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057784618713088100,
"author_id": 217922183169572860,
"author_name": "Troposphere",
"timestamp": "12/28/2022 17:18:25",
"content": "Dealt with, thanks.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057788182869057500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 17:32:35",
"content": "@ZTmat Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 958463481617723500,
"name": "ZTmat",
"discriminator": "0419",
"nickname": "ZTmat",
"isBot": false
}
],
"reference": null
},
{
"id": 1057795734344323100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/28/2022 18:02:35",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
126e035d19a342f3a351001277962abf
|
200,416 |
[
{
"id": 1057912228424192000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 01:45:30",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057916347482386400,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 02:01:52",
"content": "if A = {(2, b), (a, 4) , (7, a+b)} is a constant function whats the value of A?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057916349743120500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 02:01:52",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057916347482386400,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057920123324858500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 02:16:52",
"content": "@Shpeder Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 859931433426354200,
"name": "Shpeder",
"discriminator": "4570",
"nickname": "Shpeder",
"isBot": false
}
],
"reference": null
},
{
"id": 1057923901419692000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 02:31:53",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
65df3b9aa5414d59891a408c68301d8c
|
200,417 |
[
{
"id": 1057924151781892200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 02:32:53",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057926189777436700,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 02:40:58",
"content": "if A = {(2, b), (a, 4) , (7, a+b)} is a constant function whats the value of A?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057926193455837200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 02:40:59",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1057926189777436700,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1057926214762901600,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 02:41:04",
"content": "@Helpers hi",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057929573884502100,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "12/29/2022 02:54:25",
"content": "Constant function. Every output is the same.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057929621997363300,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "12/29/2022 02:54:37",
"content": "b = 4 = a + b",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057929704495128600,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "12/29/2022 02:54:56",
"content": "@Shpeder",
"attachments": [],
"mentions": [
{
"id": 859931433426354200,
"name": "Shpeder",
"discriminator": "4570",
"nickname": "Shpeder",
"isBot": false
}
],
"reference": null
},
{
"id": 1057930083983183900,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 02:56:27",
"content": "so 4 correct",
"attachments": [],
"mentions": [
{
"id": 356908116429897700,
"name": "Kaynex",
"discriminator": "7520",
"nickname": "Kaynex",
"isBot": false
}
],
"reference": null
},
{
"id": 1057932278136844300,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:05:10",
"content": "right? @Kaynex",
"attachments": [],
"mentions": [
{
"id": 356908116429897700,
"name": "Kaynex",
"discriminator": "7520",
"nickname": "Kaynex",
"isBot": false
}
],
"reference": null
},
{
"id": 1057932829826232300,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:07:22",
"content": "Value of A?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057932896276582400,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:07:37",
"content": "Doesn't make sense to take the \"value\" of a function or mapping",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057932927817752600,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:07:45",
"content": "Do you mean the value of a",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057933996656431100,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:12:00",
"content": "yes",
"attachments": [],
"mentions": [
{
"id": 910777539444744200,
"name": "Mr. Gamer",
"discriminator": "6658",
"nickname": "Mr. Gamer",
"isBot": false
}
],
"reference": null
},
{
"id": 1057934070979493900,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:12:17",
"content": "Ok then you just have to solve the eqn",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057934096459903000,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:12:24",
"content": "b = a+b",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057934351729442800,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:13:24",
"content": "how do you get the numbers for each of them?",
"attachments": [],
"mentions": [
{
"id": 910777539444744200,
"name": "Mr. Gamer",
"discriminator": "6658",
"nickname": "Mr. Gamer",
"isBot": false
}
],
"reference": null
},
{
"id": 1057934490355388400,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:13:57",
"content": "i mean value",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057935512041701400,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:18:01",
"content": "A constant function outputs the same value regardless of input",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057935589695049700,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:18:20",
"content": "So looking at the points given we know that this eqn must hold",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057935601371984000,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:18:22",
"content": "b = 4 = a + b",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057935645399601200,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:18:33",
"content": "yes but how do you know that b = 4?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057935725271711700,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:18:52",
"content": "All the outputs must be equal",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057935787414528000,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:19:07",
"content": "(a, 4) cause of this?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057935883833188400,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:19:30",
"content": "b is the output of 2\n4 is the output of a\na+b is the output of 7",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057935962719666200,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:19:49",
"content": "all of them are outputs?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057935967861866600,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:19:50",
"content": "Since the function is constant all outputs must be the same",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057936015421079600,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:20:01",
"content": "What is a function",
"attachments": [],
"mentions": [
{
"id": 859931433426354200,
"name": "Shpeder",
"discriminator": "4570",
"nickname": "Shpeder",
"isBot": false
}
],
"reference": null
},
{
"id": 1057936062242107400,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:20:12",
"content": "a rule",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057936075634528300,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:20:15",
"content": "I think you need to answer that more fundamental question first",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057936202164097000,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:20:46",
"content": "function is a rule that you have to apply to a question or equation, whenver it says it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057936216005279700,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:20:49",
"content": "Thats a good start I suppose. But I'd say that you need a bit more detail",
"attachments": [],
"mentions": [
{
"id": 859931433426354200,
"name": "Shpeder",
"discriminator": "4570",
"nickname": "Shpeder",
"isBot": false
}
],
"reference": null
},
{
"id": 1057936284506660900,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:21:05",
"content": "A function is a machine that eats a number and poops a different number",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057936401053790300,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:21:33",
"content": "Thats an intuitive way to think of it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057936528720015500,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:22:03",
"content": "It \"eats\" the *input* and \"poops\" the *output*",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057936578531573800,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:22:15",
"content": "i think im understanding",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057936646395416700,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:22:32",
"content": "but how does b(2) and a(4) equal 7 is what i dont understand",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057936706197786600,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:22:46",
"content": "Lets back up",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057936750766460900,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:22:56",
"content": "I don't think you quite understand the notation here",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057936778851520500,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:23:03",
"content": "yes unfortunately i dont",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057936966546624500,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:23:48",
"content": "Lets say we have a function y=2x. Then for every input x, we get back 2x.\nSo if we input 0, we get 0. \nIf we input 1, we get 2.\nIf we input 2, we get 4.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057937043558256800,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:24:06",
"content": "we double it by self once",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057937064450072600,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:24:11",
"content": "We write the input and output as an *ordered pair*, that looks like this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057937110595817500,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:24:22",
"content": "(0,0)\n(1,2)\n(2,4)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057937137691004900,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:24:29",
"content": "(Input, Output)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057937153306394600,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:24:32",
"content": "in order rising order?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057937178312855700,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:24:38",
"content": "ohhhh",
"attachments": [],
"mentions": [
{
"id": 910777539444744200,
"name": "Mr. Gamer",
"discriminator": "6658",
"nickname": "Mr. Gamer",
"isBot": false
}
],
"reference": null
},
{
"id": 1057937249523728400,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:24:55",
"content": "(2, b), (a, 4) , (7, a+b)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057937291106074600,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:25:05",
"content": "2 is input, doubled so it turns into 4 which is b",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057937311687508000,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:25:10",
"content": "and a is 2 doubled into 4...",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057937424547840000,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:25:37",
"content": "7 is input so how do you deal with it and make it equal to them?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057937446874120200,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:25:42",
"content": "That was just an example",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057937466801266700,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:25:47",
"content": "7 x 2 = 14?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057937500808683600,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:25:55",
"content": "The function in your problem is not a doubling function",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057937578948571100,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:26:14",
"content": "There are many different types of functions with many different rules",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057937633654865900,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:26:27",
"content": "but the (Input, Output) is always in this order?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057937647538032600,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:26:30",
"content": "Your function does not involve multiplying anything by 2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057937664285872100,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:26:34",
"content": "Yes",
"attachments": [],
"mentions": [
{
"id": 859931433426354200,
"name": "Shpeder",
"discriminator": "4570",
"nickname": "Shpeder",
"isBot": false
}
],
"reference": null
},
{
"id": 1057937746410352600,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:26:54",
"content": "what does my function do then",
"attachments": [],
"mentions": [
{
"id": 910777539444744200,
"name": "Mr. Gamer",
"discriminator": "6658",
"nickname": "Mr. Gamer",
"isBot": false
}
],
"reference": null
},
{
"id": 1057937813674397800,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:27:10",
"content": "Well it tells you that it's a constant function",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057937913683398700,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:27:34",
"content": "A constant function is a function that poops out the same number always, regardless of the number that it eats",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057938009527435300,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:27:57",
"content": "theres only 1 output right so it must be that...",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057938014086643700,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:27:58",
"content": "Here's an example of a constant function:\n(0,5),(1,5),(4,5),(9,5)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057938040070344700,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:28:04",
"content": "ahh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057938159608004600,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:28:32",
"content": "an equation is broken if for example (2, b), (4, a) , (7, a+b) it was like this right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057938179413508100,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:28:37",
"content": "cause theres no actual output",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057938261592522800,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:28:57",
"content": "What",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057938291359494100,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:29:04",
"content": "\"Broken\"?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057938325077491700,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:29:12",
"content": "like theres no output in that equation",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057938339212296200,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:29:15",
"content": "you acnt solve it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057938359286255700,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:29:20",
"content": "You can",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057938391389450200,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:29:28",
"content": "That's what the question is asking for",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057938437166080000,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:29:38",
"content": ":ded:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057938441322639400,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:29:39",
"content": "i understand now mr gamer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057938533794455600,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:30:02",
"content": "output 4, so the answer is 4 i got it..",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057938571790663700,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:30:11",
"content": "can you help me with more by any chance",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057938801793712300,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:31:05",
"content": "Well not quite",
"attachments": [],
"mentions": [
{
"id": 859931433426354200,
"name": "Shpeder",
"discriminator": "4570",
"nickname": "Shpeder",
"isBot": false
}
],
"reference": null
},
{
"id": 1057938843225051100,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:31:15",
"content": "You are right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057938871427547100,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:31:22",
"content": "But you don't have the right answer.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057938910698815500,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:31:31",
"content": "The question was asking for the value of a",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057938937965985800,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:31:38",
"content": "Not for the value of the output.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057938999618043900,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:31:53",
"content": "was asking for teh value of a as an input",
"attachments": [],
"mentions": [
{
"id": 910777539444744200,
"name": "Mr. Gamer",
"discriminator": "6658",
"nickname": "Mr. Gamer",
"isBot": false
}
],
"reference": null
},
{
"id": 1057939045709250700,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:32:04",
"content": "as a constant function",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057939076956827600,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:32:11",
"content": "and its always the same output so 4 right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057939233010110500,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:32:48",
"content": "Lets be clear.\nA (uppercase) is our function\na (lowercase) is a variable to be solved for",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057939320679444500,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:33:09",
"content": "Maybe take a screenshot of the original question",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057939360890228700,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:33:19",
"content": "it was asking for the loercase a",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057939369987690500,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:33:21",
"content": "the variable",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057939384181194900,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:33:24",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057939392464949200,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:33:26",
"content": "i didnt know it matterd my bad",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057939406322933800,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:33:30",
"content": "sorry",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057939408915013600,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:33:30",
"content": "So 4 is not your answer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057939476355223600,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:33:46",
"content": "wait what",
"attachments": [],
"mentions": [
{
"id": 910777539444744200,
"name": "Mr. Gamer",
"discriminator": "6658",
"nickname": "Mr. Gamer",
"isBot": false
}
],
"reference": null
},
{
"id": 1057939554356699100,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:34:05",
"content": "Yep.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057939589723062300,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:34:13",
"content": "do tell",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057939628927238300,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:34:23",
"content": "The thing about questions is that you actually have to answer them",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057939787719397400,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:35:00",
"content": "So to answer the question we need the value of a",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057939885685755900,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:35:24",
"content": "Now we know the following:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057939998093103100,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:35:51",
"content": "A constant function outputs the same value regardless of input\nSo looking at the ordered pairs given we know that this eqn must hold:\nb = 4 = a + b",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057940215404179600,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:36:42",
"content": "When we have a compound inequality like this, it's just three equations:\nb=4, b=a+b, 4=a+b",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057940788010561500,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:38:59",
"content": "so its 4?",
"attachments": [],
"mentions": [
{
"id": 910777539444744200,
"name": "Mr. Gamer",
"discriminator": "6658",
"nickname": "Mr. Gamer",
"isBot": false
}
],
"reference": null
},
{
"id": 1057940853856944300,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:39:15",
"content": "im sorry im just confused",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057941032068730900,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:39:57",
"content": "Nope",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057941064159338500,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:40:05",
"content": "What are we solving for?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057941097797660700,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:40:13",
"content": "We want **a**",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057941154206851200,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:40:26",
"content": "So we need an equation that looks like:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057941186876285000,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:40:34",
"content": "a = something",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057941302282559500,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:41:02",
"content": "b is 4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057941328618590300,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:41:08",
"content": "4 is a+b",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057941340614299600,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:41:11",
"content": "0 0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057941347287441400,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:41:12",
"content": "I GOT IT",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057941363255156700,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:41:16",
"content": "wait",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057941366069526500,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:41:17",
"content": "no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057941372377776100,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:41:18",
"content": "2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057941394666311700,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:41:24",
"content": "wait is it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057941480272048100,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:41:44",
"content": "You had it. Lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057941497401581600,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:41:48",
"content": "its 0?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057941565982650400,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:42:04",
"content": "Let's look at the equation:\nb=a+b",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057941630927241300,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:42:20",
"content": "Solve for a",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057941857281245200,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:43:14",
"content": "4 = b\n4 = a+b, it doesnt make a difference cause a is 0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057941926705385600,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:43:30",
"content": "so b = 0+4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057941953322426400,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:43:37",
"content": "Yep",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057941953762840700,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:43:37",
"content": "wait is it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057941993851990000,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:43:46",
"content": "So what does that give us for a?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057942018652909600,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:43:52",
"content": "ZEROOOO",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057942032116629500,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:43:56",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057942110118096900,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:44:14",
"content": "are you a teacher by any chance",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057942203722387500,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:44:36",
"content": "Yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057942224119271400,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:44:41",
"content": "I'm a tutor",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057942327156539400,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:45:06",
"content": "you seem awfully patient with me even tho im being stupid so i guessed",
"attachments": [],
"mentions": [
{
"id": 910777539444744200,
"name": "Mr. Gamer",
"discriminator": "6658",
"nickname": "Mr. Gamer",
"isBot": false
}
],
"reference": null
},
{
"id": 1057942528416022500,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:45:54",
"content": "If you want me to be mean I'd be more than happy to swear at you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057942545482653800,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:45:58",
"content": "😂",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057942573286694900,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:46:05",
"content": "no please",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057942677565481100,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:46:29",
"content": "\"which one of these is showing a constant fuction\"",
"attachments": [
{
"id": 1057942677200584700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057942677200584754/image.png",
"fileName": "image.png",
"fileSizeBytes": 90006
}
],
"mentions": [],
"reference": null
},
{
"id": 1057942688164483100,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:46:32",
"content": "the one on the left, am i right :))",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057942729428041700,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:46:42",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057942732674441300,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:46:43",
"content": "same output!!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057942993233002600,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:47:45",
"content": "This is Arabic?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057943057833660400,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:48:00",
"content": "Persian/Farsi, I'm from Iran",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057943107712319500,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:48:12",
"content": "Ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057943148929749000,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:48:22",
"content": "You write your numbers different from the Arabs",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057943204256809000,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:48:35",
"content": "Strange I thought it'd be the same lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057943256714981400,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:48:48",
"content": "its kinda similar",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057943276524679200,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:48:52",
"content": "I don't recognize the last one",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057943306463612900,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:48:59",
"content": "4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057943343163777200,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:49:08",
"content": "Yeah see thats the thing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057943358380712000,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "12/29/2022 03:49:12",
"content": "Itts same lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057943371143975000,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:49:15",
"content": "Arab 4 looks like ٤",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057943588379562000,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:50:07",
"content": "٤",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057943806512738300,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "12/29/2022 03:50:59",
"content": "In urdu we write 4 like this only",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057943975182467200,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "12/29/2022 03:51:39",
"content": "",
"attachments": [
{
"id": 1057943974989545500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057943974989545532/20221229_142122.jpg",
"fileName": "20221229_142122.jpg",
"fileSizeBytes": 313873
}
],
"mentions": [],
"reference": null
},
{
"id": 1057944055973171200,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "12/29/2022 03:51:58",
"content": "Almost same lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057944142065443000,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:52:19",
"content": "Yeah I guess Persians need to be special with the 4 haha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057944372307566600,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:53:14",
"content": "It looks more like the western 4 which i like tho",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057944389235769300,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:53:18",
"content": "Arab 4 looks like 3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057944416742019100,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:53:24",
"content": "in a constant function f(x) = c\n1. find the values of f(a), f(b), f(a+b)\n2. if in this function f(a+b) = f(a) x f(b), whats the value of C?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057944470689173500,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:53:37",
"content": "are you american",
"attachments": [],
"mentions": [
{
"id": 910777539444744200,
"name": "Mr. Gamer",
"discriminator": "6658",
"nickname": "Mr. Gamer",
"isBot": false
}
],
"reference": null
},
{
"id": 1057944493837537300,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:53:42",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057944513466880100,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:53:47",
"content": "nice :)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057944530395074600,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:53:51",
"content": "But I am Muslim",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057944544144007200,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:53:54",
"content": "really",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057944623336661000,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:54:13",
"content": "So I know some Arabic, not a lot",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057944678143623200,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:54:26",
"content": "nice :D",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057944815624536000,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:54:59",
"content": "do you know this by any chance",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057944835409055700,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:55:04",
"content": "its very confusing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057944835773972500,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:55:04",
"content": "Yep",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057944850777002000,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:55:08",
"content": "Constant function",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057944904522801200,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:55:20",
"content": "Same output, f(anything) is always c",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057945042272124900,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 03:55:53",
"content": "so the values of all of them are c?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057945801118187600,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 03:58:54",
"content": "Yep",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057946777904492500,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 04:02:47",
"content": "youre smart..",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057947026073075800,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 04:03:46",
"content": "if A ={(a, 1), (b, 2), (c, 5) } is an identity function what are the values of a b and c?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057947071061168300,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 04:03:57",
"content": "1 2 5",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057947078560600000,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 04:03:59",
"content": "right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057947117592776700,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 04:04:08",
"content": "cause the input puts out the same output",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057947146260857000,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 04:04:15",
"content": "so a1, b2 and c5",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057947215148109800,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "12/29/2022 04:04:31",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057947256017387500,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 04:04:41",
"content": "i hope youre proud",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057947561803137000,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 04:05:54",
"content": "if f is constant function with a domain of 2 and n e N and m, thats the value of m + t",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057947605310636200,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 04:06:04",
"content": "",
"attachments": [
{
"id": 1057947605033816000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057947605033816094/image.png",
"fileName": "image.png",
"fileSizeBytes": 2900
}
],
"mentions": [],
"reference": null
},
{
"id": 1057947739322851500,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 04:06:36",
"content": "f = {(-1, n^2 - 2n), (m - 4, 3), (m+n,t)}",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057947780565446700,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 04:06:46",
"content": "",
"attachments": [
{
"id": 1057947780250865700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1057947780250865726/image.png",
"fileName": "image.png",
"fileSizeBytes": 19216
}
],
"mentions": [],
"reference": null
},
{
"id": 1057948720840319100,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 04:10:30",
"content": "@Mr. Gamer do you understand this bro",
"attachments": [],
"mentions": [
{
"id": 910777539444744200,
"name": "Mr. Gamer",
"discriminator": "6658",
"nickname": "Mr. Gamer",
"isBot": false
}
],
"reference": null
},
{
"id": 1057952496645054600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 04:25:31",
"content": "@Shpeder Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 859931433426354200,
"name": "Shpeder",
"discriminator": "4570",
"nickname": "Shpeder",
"isBot": false
}
],
"reference": null
},
{
"id": 1057960085445423200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 04:55:40",
"content": "@Shpeder Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 859931433426354200,
"name": "Shpeder",
"discriminator": "4570",
"nickname": "Shpeder",
"isBot": false
}
],
"reference": null
},
{
"id": 1057975218922078200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 05:55:48",
"content": "@Shpeder Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 859931433426354200,
"name": "Shpeder",
"discriminator": "4570",
"nickname": "Shpeder",
"isBot": false
}
],
"reference": null
},
{
"id": 1057978250103627800,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 06:07:51",
"content": "if A = {(x_1, y_1), (x_2, y_2), (x_3, y_e)} is a constant function what are the mean, median and variance values of y_1, y_2 and y_3?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057978281758048300,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 06:07:58",
"content": "@Helpers 👋 😺",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1057994616705667100,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 07:12:53",
"content": "@Helpers hi",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058024816562667600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 09:12:53",
"content": "@Shpeder Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 859931433426354200,
"name": "Shpeder",
"discriminator": "4570",
"nickname": "Shpeder",
"isBot": false
}
],
"reference": null
},
{
"id": 1058049085266985000,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 10:49:19",
"content": "@Helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058049215940546600,
"author_id": 1048833157534855300,
"author_name": "Diplodocus",
"timestamp": "12/29/2022 10:49:50",
"content": "Hello @Shpeder",
"attachments": [],
"mentions": [
{
"id": 859931433426354200,
"name": "Shpeder",
"discriminator": "4570",
"nickname": "Shpeder",
"isBot": false
}
],
"reference": null
},
{
"id": 1058049256369438700,
"author_id": 1048833157534855300,
"author_name": "Diplodocus",
"timestamp": "12/29/2022 10:50:00",
"content": "how are you?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058049306768183300,
"author_id": 1048833157534855300,
"author_name": "Diplodocus",
"timestamp": "12/29/2022 10:50:12",
"content": "I can help you.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058052680351764500,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 11:03:36",
"content": "Pretty good boss",
"attachments": [],
"mentions": [
{
"id": 1048833157534855300,
"name": "Diplodocus",
"discriminator": "4059",
"nickname": "Diplodocus",
"isBot": false
}
],
"reference": null
},
{
"id": 1058052721833427000,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 11:03:46",
"content": "if A = {(x_1, y_1), (x_2, y_2), (x_3, y_e)} is a constant function what are the mean, median and variance values of y_1, y_2 and y_3?",
"attachments": [],
"mentions": [
{
"id": 1048833157534855300,
"name": "Diplodocus",
"discriminator": "4059",
"nickname": "Diplodocus",
"isBot": false
}
],
"reference": null
},
{
"id": 1058061221577900000,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 11:37:33",
"content": "@Diplodocus bro",
"attachments": [],
"mentions": [
{
"id": 1048833157534855300,
"name": "Diplodocus",
"discriminator": "4059",
"nickname": "Diplodocus",
"isBot": false
}
],
"reference": null
},
{
"id": 1058061281707425800,
"author_id": 1048833157534855300,
"author_name": "Diplodocus",
"timestamp": "12/29/2022 11:37:47",
"content": "hello",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058061295666069500,
"author_id": 1048833157534855300,
"author_name": "Diplodocus",
"timestamp": "12/29/2022 11:37:50",
"content": "how are you?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058061324099256300,
"author_id": 1048833157534855300,
"author_name": "Diplodocus",
"timestamp": "12/29/2022 11:37:57",
"content": "are you available now?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058061331124723800,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 11:37:59",
"content": "cant complain",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058061341967011800,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 11:38:01",
"content": "yes",
"attachments": [],
"mentions": [
{
"id": 1048833157534855300,
"name": "Diplodocus",
"discriminator": "4059",
"nickname": "Diplodocus",
"isBot": false
}
],
"reference": null
},
{
"id": 1058061477879226500,
"author_id": 1048833157534855300,
"author_name": "Diplodocus",
"timestamp": "12/29/2022 11:38:34",
"content": "please dm me and let us discuss there",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058079118530445400,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 12:48:40",
"content": "can someone help me please @Helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058079146657464300,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 12:48:46",
"content": "the other person seem to have gone to sleep",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058098823584555100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/29/2022 14:06:58",
"content": "Can you open a new help channel with your question",
"attachments": [],
"mentions": [
{
"id": 859931433426354200,
"name": "Shpeder",
"discriminator": "4570",
"nickname": "Shpeder",
"isBot": false
}
],
"reference": null
},
{
"id": 1058099105886376100,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 14:08:05",
"content": "/close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058099153617563600,
"author_id": 859931433426354200,
"author_name": "Shpeder",
"timestamp": "12/29/2022 14:08:16",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058099160714313900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 14:08:18",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
e87c97ceab4e467ba0129184baffec55
|
200,418 |
[
{
"id": 1058099408979370000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 14:09:17",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058101649903714400,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/29/2022 14:18:11",
"content": "Is it possible that someone can help me out with a economic mathematic problem? with integration",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058101651942154200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 14:18:12",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058101649903714400,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058101660435619800,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/29/2022 14:18:14",
"content": "please",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058101820976791700,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/29/2022 14:18:52",
"content": "The Lorenz curve for a country changes from y = x10 to y = x12 in the year 2010 in\n2020. Determine the GINI Coefficient for both years and interpret the result.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058101899590631600,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/29/2022 14:19:11",
"content": "i need to use the particular integration technique",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058101908629372900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/29/2022 14:19:13",
"content": "Explain all the terms",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058101954590560300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/29/2022 14:19:24",
"content": "And give all relevant formulas",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058102001608695800,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/29/2022 14:19:35",
"content": "A Lorenz curve is a graphical representation of the distribution of income or wealth within a population",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058102111038091400,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/29/2022 14:20:01",
"content": "The Gini coefficient measures the extent to which the distribution of income within a country deviates from a perfectly equal distributio",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058102258337845200,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/29/2022 14:20:36",
"content": "there is no formula given",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058102343956181100,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/29/2022 14:20:57",
"content": "y = x10 to y = x^12",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058102371324018700,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/29/2022 14:21:03",
"content": "y = x^10",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058102544980791400,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/29/2022 14:21:45",
"content": "@Helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058102981393920100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/29/2022 14:23:29",
"content": "\"coefficient\" usually means there's a formula",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058103045285748700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/29/2022 14:23:44",
"content": "You should look in your book's index for it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058103099832684500,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/29/2022 14:23:57",
"content": "I said there is no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058103503861588100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/29/2022 14:25:33",
"content": "Then you need to look for it elsewhere",
"attachments": [],
"mentions": [
{
"id": 968829547481010200,
"name": "ayoubie",
"discriminator": "1195",
"nickname": "ayoubie",
"isBot": false
}
],
"reference": null
},
{
"id": 1058104222865961100,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/29/2022 14:28:25",
"content": "there is no formula",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058104358161629200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/29/2022 14:28:57",
"content": "I'm sure there is. Google it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058104586755379200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/29/2022 14:29:52",
"content": "You're asked to give a quantitative answer for Gini coefficient. That means there's a way to calculate it. That means there's one or more equations to calculate it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058105154735452300,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/29/2022 14:32:07",
"content": "I don't know bro",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058105170774470700,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/29/2022 14:32:11",
"content": "I'm stuck",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058106247213224100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/29/2022 14:36:27",
"content": ".",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058106284718706800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/29/2022 14:36:36",
"content": "Only you know what formula to use",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058106307296641200,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/29/2022 14:36:42",
"content": "bro",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058106338913288200,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/29/2022 14:36:49",
"content": "There is no formula",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058106350711885800,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/29/2022 14:36:52",
"content": "what can I do",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058106387021967500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/29/2022 14:37:01",
"content": ".",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058106788026798100,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/29/2022 14:38:36",
"content": "bro if you can help me out, i will appreciate it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058106867374633100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/29/2022 14:38:55",
"content": ".",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058108005859725400,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/29/2022 14:43:27",
"content": "I don't know",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058108479551840400,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/29/2022 14:45:20",
"content": "Gini-index = 2 \u0012\n1\n2\n−\nZ 1\n0\nL(x) dx\n\u0013\n= 1 − 2\nZ 1\n0\nL(x) dx",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058110297006686300,
"author_id": 968829547481010200,
"author_name": "ayoubie",
"timestamp": "12/29/2022 14:52:33",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058110300576043100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 14:52:34",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
4daff5fb01cb46b8b2d891da8d77ee3d
|
200,419 |
[
{
"id": 1058184627577163800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 19:47:55",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058186400035504100,
"author_id": 1010316935285702700,
"author_name": "AllUtility",
"timestamp": "12/29/2022 19:54:57",
"content": "How do you do the work for the division",
"attachments": [
{
"id": 1058186399754502300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058186399754502234/image.png",
"fileName": "image.png",
"fileSizeBytes": 270278
}
],
"mentions": [],
"reference": null
},
{
"id": 1058186406654120000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 19:54:59",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058186400035504100,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058186413482451100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 19:55:01",
"content": null,
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058186509762711600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "12/29/2022 19:55:24",
"content": "You already have a channel open, don't open multiple channels",
"attachments": [],
"mentions": [
{
"id": 1010316935285702700,
"name": "AllUtility",
"discriminator": "0571",
"nickname": "AllUtility",
"isBot": false
}
],
"reference": null
},
{
"id": 1058186618005115000,
"author_id": 1010316935285702700,
"author_name": "AllUtility",
"timestamp": "12/29/2022 19:55:49",
"content": "k",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058186642038476900,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "12/29/2022 19:55:55",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058186646673178600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 19:55:56",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
d54341043b0a4fdaa33419c4e48a8804
|
200,420 |
[
{
"id": 1058188934871531500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 20:05:02",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058219132014829600,
"author_id": 225187090210619400,
"author_name": "Kazami",
"timestamp": "12/29/2022 22:05:01",
"content": "aight, the case im having with the data i was given to work with is that i get a negative value of Adjusted R2 when i put the model in, and with some research online, i obtained that negative Adjusted R2 means that the model is incredibly bad, one that isnt valid to be used. Is there any way for me to increase this number by tweaking with transformations or stuffs?",
"attachments": [
{
"id": 1058219131708641300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058219131708641330/image.png",
"fileName": "image.png",
"fileSizeBytes": 26708
}
],
"mentions": [],
"reference": null
},
{
"id": 1058219134564970500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 22:05:02",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058219132014829600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058222908788445200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 22:20:02",
"content": "@Kazami Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 225187090210619400,
"name": "Kazami",
"discriminator": "6215",
"nickname": "Kazami",
"isBot": false
}
],
"reference": null
},
{
"id": 1058230524822425600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 22:50:18",
"content": "@Kazami Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 225187090210619400,
"name": "Kazami",
"discriminator": "6215",
"nickname": "Kazami",
"isBot": false
}
],
"reference": null
},
{
"id": 1058238076066988200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 23:20:18",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
5a30215566cd427da512ec936eea0eed
|
200,421 |
[
{
"id": 1035111553135030400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 04:43:45",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035111715219722200,
"author_id": 216571596427493380,
"author_name": "DerpArielp",
"timestamp": "10/27/2022 04:44:24",
"content": "how to find if this function is (injective,surjective or beijective) i kind of know how to find this , but the notations in this questions arenot verly clear to me",
"attachments": [
{
"id": 1035111714250817700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1035111714250817602/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 6176
}
],
"mentions": [],
"reference": null
},
{
"id": 1035111717656612900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 04:44:24",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1035111715219722200,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1035112213066817500,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "10/27/2022 04:46:23",
"content": "its a function from Q^2 to Q^2 \nfor each couple (x,y) in Q^2, f associates an other couple (x^2 +y^2, x-y) in Q^2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035112926715052000,
"author_id": 216571596427493380,
"author_name": "DerpArielp",
"timestamp": "10/27/2022 04:49:13",
"content": "i just started university and i am still used to highschool math\nso just to be clear this is \nso f(x,y)=(x^2+y^2,x-y) | x in Q ,Y in Q ?",
"attachments": [],
"mentions": [
{
"id": 411882877933060100,
"name": "Ｈｅｒｅｌｓ",
"discriminator": "1420",
"nickname": "Ｈｅｒｅｌｓ",
"isBot": false
}
],
"reference": null
},
{
"id": 1035113002426450000,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "10/27/2022 04:49:31",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035113139563401200,
"author_id": 216571596427493380,
"author_name": "DerpArielp",
"timestamp": "10/27/2022 04:50:03",
"content": "i never also worked with a function that has 2 variables in the domain , does it differ from any function ?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035113364881416200,
"author_id": 216571596427493380,
"author_name": "DerpArielp",
"timestamp": "10/27/2022 04:50:57",
"content": "like in a normal f(x) function to prove it is injective and surjective i would just prove that for every f(x) = f(y) , x=y and that f(y)=x",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035113403334791200,
"author_id": 216571596427493380,
"author_name": "DerpArielp",
"timestamp": "10/27/2022 04:51:06",
"content": "how would we do it here ?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035113854595780600,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "10/27/2022 04:52:54",
"content": "its the same thing, you take x,y in Q^2 and you show that if f(x) = f(y), then x=y",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035114069478359000,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "10/27/2022 04:53:45",
"content": "a function that takes 2 values x, y is just a function that takes one value, (x, y) in Q²",
"attachments": [],
"mentions": [
{
"id": 216571596427493380,
"name": "DerpArielp",
"discriminator": "0866",
"nickname": "DerpArielp",
"isBot": false
}
],
"reference": null
},
{
"id": 1035114678189314000,
"author_id": 216571596427493380,
"author_name": "DerpArielp",
"timestamp": "10/27/2022 04:56:10",
"content": "so the pair of x,y is the x in f(x) ?",
"attachments": [],
"mentions": [
{
"id": 484702191156985860,
"name": "themateo713",
"discriminator": "5303",
"nickname": "mateo713",
"isBot": false
}
],
"reference": null
},
{
"id": 1035114756413067300,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "10/27/2022 04:56:29",
"content": "?",
"attachments": [],
"mentions": [
{
"id": 216571596427493380,
"name": "DerpArielp",
"discriminator": "0866",
"nickname": "DerpArielp",
"isBot": false
}
],
"reference": null
},
{
"id": 1035114759336509400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "10/27/2022 04:56:30",
"content": "that was just to let you see how the definition of injectivity carries over",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035114975229907000,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "10/27/2022 04:57:21",
"content": "you had \"f(x) = f(y) => x = y\"\nNow it becomes \"f((x, y)) = f((a, b)) => (x, y) = (a, b) <=> x = a and y = b\"",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035115043827748900,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "10/27/2022 04:57:37",
"content": "$x = (x_1 , x_2) \\in \\mathbb{Q}^2$\nwith $x_1 , x_2 \\in \\mathbb{Q}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035115053650825300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/27/2022 04:57:40",
"content": "**Ｈｅｒｅｌｓ**",
"attachments": [
{
"id": 1035115053856325600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1035115053856325643/411882877933060109.png",
"fileName": "411882877933060109.png",
"fileSizeBytes": 9639
}
],
"mentions": [],
"reference": null
},
{
"id": 1035115199721640000,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "10/27/2022 04:58:15",
"content": "the same for y",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035115238082760700,
"author_id": 216571596427493380,
"author_name": "DerpArielp",
"timestamp": "10/27/2022 04:58:24",
"content": "oh okay i think i understand , thank you very much",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035115276171231200,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "10/27/2022 04:58:33",
"content": "and you show that if f(x) = f(y), then x = y",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035115311772471300,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "10/27/2022 04:58:41",
"content": "k np",
"attachments": [],
"mentions": [
{
"id": 216571596427493380,
"name": "DerpArielp",
"discriminator": "0866",
"nickname": "DerpArielp",
"isBot": false
}
],
"reference": null
},
{
"id": 1035115473404186600,
"author_id": 216571596427493380,
"author_name": "DerpArielp",
"timestamp": "10/27/2022 04:59:20",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035115475891404800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 04:59:20",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
6b18b6a2e34e4a09ae5602a28fd65699
|
200,422 |
[
{
"id": 1058238328517955700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 23:21:18",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058247556754321400,
"author_id": 272986655311396860,
"author_name": "frostii",
"timestamp": "12/29/2022 23:57:58",
"content": "I'm having trouble understanding why its okay to switch the bounds in this example. Does it have to do with the fact that the function gets discontinuous to a point or why is it okay to ignore every t > 1 in the integral?",
"attachments": [
{
"id": 1058247556376830000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058247556376829982/image.png",
"fileName": "image.png",
"fileSizeBytes": 69635
}
],
"mentions": [],
"reference": null
},
{
"id": 1058247560902496300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/29/2022 23:57:59",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058247556754321400,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058251334916251600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 00:12:59",
"content": "@frostii Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 272986655311396860,
"name": "frostii",
"discriminator": "6971",
"nickname": "frostii",
"isBot": false
}
],
"reference": null
},
{
"id": 1058252141631901700,
"author_id": 272986655311396860,
"author_name": "frostii",
"timestamp": "12/30/2022 00:16:11",
"content": "@Helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058254063311003600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/30/2022 00:23:50",
"content": "There are no bounds being switched",
"attachments": [],
"mentions": [
{
"id": 272986655311396860,
"name": "frostii",
"discriminator": "6971",
"nickname": "frostii",
"isBot": false
}
],
"reference": null
},
{
"id": 1058254281158967300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/30/2022 00:24:42",
"content": "There's no \"ignoring\" happening",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058254325782163500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/30/2022 00:24:52",
"content": "They integrate the 0 function",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058254352000761900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/30/2022 00:24:58",
"content": "What does that contribute?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058254382891806800,
"author_id": 272986655311396860,
"author_name": "frostii",
"timestamp": "12/30/2022 00:25:06",
"content": "oh i see",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058254479104942200,
"author_id": 272986655311396860,
"author_name": "frostii",
"timestamp": "12/30/2022 00:25:29",
"content": "my original approach was to split the function up into 3 different intervals",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058254585711575200,
"author_id": 272986655311396860,
"author_name": "frostii",
"timestamp": "12/30/2022 00:25:54",
"content": "but now i'm realizing what i did wrong with that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058254619932905600,
"author_id": 272986655311396860,
"author_name": "frostii",
"timestamp": "12/30/2022 00:26:02",
"content": "thanks!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058254648424796200,
"author_id": 272986655311396860,
"author_name": "frostii",
"timestamp": "12/30/2022 00:26:09",
"content": "close.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058254657631309800,
"author_id": 272986655311396860,
"author_name": "frostii",
"timestamp": "12/30/2022 00:26:11",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058254660659597300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 00:26:12",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
c1345cbad8364a9ba141141a35a290c7
|
200,423 |
[
{
"id": 1058254912179421200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 00:27:12",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058277626323685400,
"author_id": 1047851040260771800,
"author_name": "xxxxxx",
"timestamp": "12/30/2022 01:57:27",
"content": "is this right",
"attachments": [
{
"id": 1058277625992327200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058277625992327208/image.png",
"fileName": "image.png",
"fileSizeBytes": 96497
}
],
"mentions": [],
"reference": null
},
{
"id": 1058277628601184300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 01:57:28",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058277626323685400,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058277845799018500,
"author_id": 748029603087384700,
"author_name": "Yours truly",
"timestamp": "12/30/2022 01:58:20",
"content": "yes.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058281402833051600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 02:12:28",
"content": "@xxxxxx Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 1047851040260771800,
"name": "xxxxxx",
"discriminator": "7194",
"nickname": "xxxxxx",
"isBot": false
}
],
"reference": null
},
{
"id": 1058285179237568500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 02:27:28",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
00a27e9da7bb4487b2b0e28f9c84a1b6
|
200,424 |
[
{
"id": 1058285431160066000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 02:28:28",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058291521415282800,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 02:52:40",
"content": "",
"attachments": [
{
"id": 1058291521339793400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058291521339793459/SmartSelect_20221230_155228_Samsung_Notes.jpg",
"fileName": "SmartSelect_20221230_155228_Samsung_Notes.jpg",
"fileSizeBytes": 38250
}
],
"mentions": [],
"reference": null
},
{
"id": 1058291524372279300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 02:52:41",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058291521415282800,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058291683416100900,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 02:53:19",
"content": "hi could someone help me with this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058291707176833000,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 02:53:25",
"content": "im trying to find the tightest upper bound",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058291787208327200,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 02:53:44",
"content": "@夢雪 :opencry:",
"attachments": [],
"mentions": [
{
"id": 118663865264242690,
"name": "夢雪",
"discriminator": "2250",
"nickname": "snow",
"isBot": false
}
],
"reference": null
},
{
"id": 1058291799459893400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 02:53:47",
"content": "**WolframAlpha**",
"attachments": [
{
"id": 1058291799195648000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058291799195648040/560241701612945428.png",
"fileName": "560241701612945428.png",
"fileSizeBytes": 16991
}
],
"mentions": [],
"reference": null
},
{
"id": 1058291818866946000,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 02:53:51",
"content": "wtf",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058295594545844200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 03:08:51",
"content": "@HellO Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 560241701612945400,
"name": "HellO",
"discriminator": "6239",
"nickname": "WolframAlpha",
"isBot": false
}
],
"reference": null
},
{
"id": 1058298206418640900,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:19:14",
"content": ":thonk:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298225771163600,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:19:19",
"content": "hello",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298253256441900,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:19:25",
"content": "hi",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298283526717400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:19:33",
"content": "have you tried just writing it out",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298292150210600,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:19:35",
"content": "like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298312266096600,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:19:39",
"content": "assume n is a power of 2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298341127094300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:19:46",
"content": "and then just write out the entire recursion",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298381048479700,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:19:56",
"content": "ah entire recursion",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298401076293600,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:20:01",
"content": "yis",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298421578047500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:20:05",
"content": "like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298449805717500,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:20:12",
"content": "hm wait lemme send my new ans to see if its right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298521326997500,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:20:29",
"content": "",
"attachments": [
{
"id": 1058298521142435800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058298521142435840/SmartSelect_20221230_162019_Samsung_Notes.jpg",
"fileName": "SmartSelect_20221230_162019_Samsung_Notes.jpg",
"fileSizeBytes": 25046
}
],
"mentions": [],
"reference": null
},
{
"id": 1058298564331184100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 03:20:39",
"content": "",
"attachments": [
{
"id": 1058298564146647000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058298564146647041/118663865264242688.png",
"fileName": "118663865264242688.png",
"fileSizeBytes": 15947
}
],
"mentions": [],
"reference": null
},
{
"id": 1058298575303487500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:20:42",
"content": ":hmmCat:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298600309923800,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:20:48",
"content": "hm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298659399286800,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:21:02",
"content": "hmmmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298660431081500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:21:02",
"content": "you can probably just master theorem this tho",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298682069495800,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:21:08",
"content": "havent learnt",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298684468641800,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:21:08",
"content": "that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298693255704600,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:21:10",
"content": "xD",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298703309451300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:21:13",
"content": "i see",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298728890499200,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:21:19",
"content": "hmmmmmmmmmmmmmmmmmmmmmmmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298747261571100,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:21:23",
"content": "is mine wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298763489321000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:21:27",
"content": "well i have no idea what the answer is supposed to be",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298774914613400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:21:30",
"content": "id need to work it out",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298796200693900,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:21:35",
"content": "😮",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058298827544727600,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:21:42",
"content": "time to brute force",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058299032600068100,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:22:31",
"content": "wait so",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058299046109921300,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:22:34",
"content": "how do i brute force",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058299062937452500,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:22:38",
"content": "like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058299077437177900,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:22:42",
"content": "i just work my way",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058299113273303200,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:22:50",
"content": "till n/27 or something",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058299519747510300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 03:24:27",
"content": "",
"attachments": [
{
"id": 1058299519546179600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058299519546179584/118663865264242688.png",
"fileName": "118663865264242688.png",
"fileSizeBytes": 30910
}
],
"mentions": [],
"reference": null
},
{
"id": 1058299589570080800,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:24:44",
"content": "wat can we get from that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058299655588429800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:25:00",
"content": "you can just",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058299686986973300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:25:07",
"content": "keep unravelling the recursion ig",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058300532403470500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 03:28:29",
"content": "",
"attachments": [
{
"id": 1058300532210540500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058300532210540574/118663865264242688.png",
"fileName": "118663865264242688.png",
"fileSizeBytes": 39185
}
],
"mentions": [],
"reference": null
},
{
"id": 1058300586090565600,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:28:41",
"content": "something weird like that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058300609851301900,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:28:47",
"content": "um",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058300629501624400,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:28:52",
"content": "what can we get from this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058300713467379700,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:29:12",
"content": "well essentially you get a massive sum at the end",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058300789082296300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 03:29:30",
"content": "",
"attachments": [
{
"id": 1058300788943892500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058300788943892500/118663865264242688.png",
"fileName": "118663865264242688.png",
"fileSizeBytes": 40735
}
],
"mentions": [],
"reference": null
},
{
"id": 1058300796078403700,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:29:32",
"content": "that thing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058300820191457300,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:29:37",
"content": "o",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058300843633414300,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:29:43",
"content": "hm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058300855226470400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:29:46",
"content": "and it looks kinda like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058300966409093100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 03:30:12",
"content": "",
"attachments": [
{
"id": 1058300966207754200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058300966207754280/118663865264242688.png",
"fileName": "118663865264242688.png",
"fileSizeBytes": 10812
}
],
"mentions": [],
"reference": null
},
{
"id": 1058300996872314900,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:30:19",
"content": "woah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058301041122230400,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:30:30",
"content": "man why is this so hard",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058301043592663000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:30:31",
"content": "can you read that sum",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058301064782282800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:30:36",
"content": "or should i write individual terms",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058301091705528400,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:30:42",
"content": "i think i can",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058301454827388900,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:32:09",
"content": ":hmmCat:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058301455045497000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 03:32:09",
"content": "",
"attachments": [
{
"id": 1058301454860943400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058301454860943410/118663865264242688.png",
"fileName": "118663865264242688.png",
"fileSizeBytes": 22928
}
],
"mentions": [],
"reference": null
},
{
"id": 1058301502546006100,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:32:20",
"content": "yesmam",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058301549283123200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:32:31",
"content": "do you know how to evaluate that sum",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058301554731532400,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:32:32",
"content": "so the upperbound would be like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058301611669209100,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:32:46",
"content": "um",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058301638919585800,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:32:53",
"content": "wym",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058301664454516700,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:32:59",
"content": "like if u gave me a number to sub inside it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058301667201790100,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:32:59",
"content": "orr",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058301675997245400,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:33:01",
"content": "to find the obund",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058301779265196000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:33:26",
"content": "like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058301824811143200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:33:37",
"content": "find a closed form expression",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058301835229806600,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:33:39",
"content": "for the sum",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058301865680441500,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:33:47",
"content": "o",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058301874681426000,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:33:49",
"content": "hm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058301883363631100,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:33:51",
"content": "like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058301897183862800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:33:54",
"content": "for example",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058301977207001100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 03:34:13",
"content": "",
"attachments": [
{
"id": 1058301977014042600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058301977014042634/118663865264242688.png",
"fileName": "118663865264242688.png",
"fileSizeBytes": 11584
}
],
"mentions": [],
"reference": null
},
{
"id": 1058302038687092700,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:34:28",
"content": "hm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058302061726408700,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:34:33",
"content": "i dunt know how",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058302085185146900,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:34:39",
"content": "is there a trick",
"attachments": [],
"mentions": [
{
"id": 510789298321096700,
"name": "TeXit",
"discriminator": "0796",
"nickname": "TeXit",
"isBot": true
}
],
"reference": null
},
{
"id": 1058302090524500000,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:34:40",
"content": "for that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058302109436608500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:34:45",
"content": "yis",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058302138641567700,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:34:52",
"content": "yis",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058302139094552600,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:34:52",
"content": "maybe if i rewrote it like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058302441587753100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 03:36:04",
"content": "",
"attachments": [
{
"id": 1058302441399013400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058302441399013426/118663865264242688.png",
"fileName": "118663865264242688.png",
"fileSizeBytes": 21096
}
],
"mentions": [],
"reference": null
},
{
"id": 1058302582394732500,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:36:37",
"content": "hm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058302751701995500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:37:18",
"content": ",tc colour trans_black",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058302752440201200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 03:37:18",
"content": "You have switched to the `trans_black` colourscheme.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058302883260551200,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:37:49",
"content": "cough",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058302889879142400,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:37:51",
"content": "i fail",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058302891833696300,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:37:51",
"content": "wait",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303010440237000,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:38:20",
"content": "",
"attachments": [
{
"id": 1058303010285043700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058303010285043742/SmartSelect_20221230_163814_Samsung_Notes.jpg",
"fileName": "SmartSelect_20221230_163814_Samsung_Notes.jpg",
"fileSizeBytes": 36221
}
],
"mentions": [],
"reference": null
},
{
"id": 1058303015020404700,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:38:21",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303029465595900,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:38:24",
"content": "i think",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303041327087600,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:38:27",
"content": "wait",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303052290990100,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:38:29",
"content": "does that make sense",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303061820453000,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:38:32",
"content": "it doesnt feel right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303063309430900,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:38:32",
"content": ":thonkZoom:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303095022567400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:38:40",
"content": "you've done this before right?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303098210222100,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:38:40",
"content": "like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303111988518900,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:38:44",
"content": "geometric series?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303130602852400,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:38:48",
"content": "ye",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303146239205500,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:38:52",
"content": "i wanted to try something else",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303148650942500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:38:52",
"content": "this is one of them",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303158016823400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:38:55",
"content": "a geometric series",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303176186544300,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:38:59",
"content": "a yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303198512816100,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:39:04",
"content": "one sec",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303245988135000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 03:39:16",
"content": "",
"attachments": [
{
"id": 1058303245795209200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058303245795209216/118663865264242688.png",
"fileName": "118663865264242688.png",
"fileSizeBytes": 10650
}
],
"mentions": [],
"reference": null
},
{
"id": 1058303613715361900,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:40:43",
"content": ",w (4/3 - 4/3(4/3)^n) / (1- 4/3)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303643729789000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 03:40:50",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303677472964700,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:40:59",
"content": "hm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303823648673800,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:41:33",
"content": "is that right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303890388430800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:41:49",
"content": ":hmmCat:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303900823863300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:41:52",
"content": "possibly",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303912345604100,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:41:55",
"content": "a ha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303921707307100,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:41:57",
"content": "so now",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303930674720800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:41:59",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303942188085400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:42:02",
"content": "i think thats right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303965546168300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:42:07",
"content": "but the exponent should be like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303974261919700,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:42:09",
"content": "",
"attachments": [
{
"id": 1058303974056415200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058303974056415282/SmartSelect_20221230_164203_Samsung_Notes.jpg",
"fileName": "SmartSelect_20221230_164203_Samsung_Notes.jpg",
"fileSizeBytes": 19946
}
],
"mentions": [],
"reference": null
},
{
"id": 1058303974916235400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:42:09",
"content": "k",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058303980809232400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:42:11",
"content": "not n",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058304005589180500,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:42:17",
"content": "O",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058304077655715800,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:42:34",
"content": "okay",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058304139291004900,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:42:49",
"content": "wait so this is the bound",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058304254961528800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:43:16",
"content": "well okay we gotta sub it all back in",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058304306857644000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:43:29",
"content": "so like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058304336331030500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:43:36",
"content": "https://cdn.discordapp.com/attachments/486844875632017408/1058302441399013426/118663865264242688.png",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058304340785373200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:43:37",
"content": "here",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058304538123178000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 03:44:24",
"content": "",
"attachments": [
{
"id": 1058304537959596200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058304537959596122/118663865264242688.png",
"fileName": "118663865264242688.png",
"fileSizeBytes": 19492
}
],
"mentions": [],
"reference": null
},
{
"id": 1058304588060557300,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:44:36",
"content": "YES",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058304594276520100,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:44:37",
"content": "you can kinda rewrite that as uh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058304677151789000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 03:44:57",
"content": "",
"attachments": [
{
"id": 1058304676950442000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058304676950442034/118663865264242688.png",
"fileName": "118663865264242688.png",
"fileSizeBytes": 17762
}
],
"mentions": [],
"reference": null
},
{
"id": 1058304750971519100,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:45:14",
"content": "wait",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058304760786210800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:45:17",
"content": "im using n",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058304763650908300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:45:18",
"content": "oh no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058304778284839000,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:45:21",
"content": ":hmmCat:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058304805912707200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 03:45:28",
"content": "",
"attachments": [
{
"id": 1058304805698805900,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058304805698805850/118663865264242688.png",
"fileName": "118663865264242688.png",
"fileSizeBytes": 19256
}
],
"mentions": [],
"reference": null
},
{
"id": 1058304833347670100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 03:45:34",
"content": "",
"attachments": [
{
"id": 1058304833167302700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058304833167302666/118663865264242688.png",
"fileName": "118663865264242688.png",
"fileSizeBytes": 18666
}
],
"mentions": [],
"reference": null
},
{
"id": 1058304846362591200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:45:37",
"content": "should be using k lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058304892722225200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:45:48",
"content": "okay and then",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058304903937798300,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:45:51",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058304912032809000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:45:53",
"content": "simplify",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058304983528910800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 03:46:10",
"content": "",
"attachments": [
{
"id": 1058304983365320700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058304983365320705/118663865264242688.png",
"fileName": "118663865264242688.png",
"fileSizeBytes": 8463
}
],
"mentions": [],
"reference": null
},
{
"id": 1058305054223913000,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:46:27",
"content": "wait wut",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058305056191037400,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:46:27",
"content": "oh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058305090294927400,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:46:35",
"content": "u simplified (4/3)^k+1?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058305158267809900,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:46:52",
"content": "wait",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058305169105891300,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:46:54",
"content": "wheredid that come from",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058305253205868500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:47:14",
"content": "like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058305262735339600,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:47:16",
"content": "factor out the 4/3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058305267407794200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:47:18",
"content": "and then",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058305286911299600,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:47:22",
"content": "put the 3^k in",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058305453588758500,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:48:02",
"content": "o",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058305589186412500,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:48:34",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058305642131112000,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:48:47",
"content": "wait am i supposed to simplify something",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058305647508197400,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:48:48",
"content": "or was that the answer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058305898289823700,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:49:48",
"content": "uh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058305913125085300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:49:52",
"content": "theres still more i think",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058305963653857300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:50:04",
"content": "it all goes back into here",
"attachments": [],
"mentions": [
{
"id": 510789298321096700,
"name": "TeXit",
"discriminator": "0796",
"nickname": "TeXit",
"isBot": true
}
],
"reference": null
},
{
"id": 1058305970553507800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:50:05",
"content": "so its like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058306088732209200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 03:50:33",
"content": "",
"attachments": [
{
"id": 1058306088505720800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058306088505720882/118663865264242688.png",
"fileName": "118663865264242688.png",
"fileSizeBytes": 15678
}
],
"mentions": [],
"reference": null
},
{
"id": 1058306135788113900,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:50:45",
"content": "oh right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058306234459111400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:51:08",
"content": "https://cdn.discordapp.com/attachments/486844875632017408/1058300788943892500/118663865264242688.png",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058306296421560400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:51:23",
"content": "kinda making sense?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058306312305393700,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:51:27",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058306346384097400,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:51:35",
"content": "makes sense",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058306373433184300,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:51:41",
"content": "so like this is T(k)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058306467544965200,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:52:04",
"content": "and T(0) is 0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058306533856911400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:52:20",
"content": "maybe",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058306539804446800,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:52:21",
"content": "so its just 4c(4^k-3^k)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058306558087401500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:52:25",
"content": "T(0) might be 1 or something idk",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058306612932120600,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:52:38",
"content": "hmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058306639482073100,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:52:45",
"content": "if we sub 0 into the equation",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058306648059428900,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:52:47",
"content": "just some constant",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058306672675786800,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:52:53",
"content": "oh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058306693580197900,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:52:58",
"content": "shouldnt matter that much right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058306738832560100,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:53:08",
"content": "so the bound would be",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058306805240967200,
"author_id": 588670121585803300,
"author_name": "Stotram",
"timestamp": "12/30/2022 03:53:24",
"content": "whats the problem",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058306812396441600,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:53:26",
"content": "O(3^k + c(4^k - 3^k))",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058306852074565600,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:53:35",
"content": "le pinned message",
"attachments": [],
"mentions": [
{
"id": 588670121585803300,
"name": "Stotram",
"discriminator": "9095",
"nickname": "Stotram",
"isBot": false
}
],
"reference": null
},
{
"id": 1058306883552817200,
"author_id": 588670121585803300,
"author_name": "Stotram",
"timestamp": "12/30/2022 03:53:43",
"content": "ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058306988494307300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:54:08",
"content": "yeah the T0 term is less than the 4^k term",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058307028826718200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:54:18",
"content": "so it doesnt actually affect the asymptotics",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058307062498607200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:54:26",
"content": "but",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058307077744902100,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:54:29",
"content": "o",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058307088805281900,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:54:32",
"content": "here k represents the power of 2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058307132199534600,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:54:42",
"content": "https://cdn.discordapp.com/attachments/486844875632017408/1058299519546179584/118663865264242688.png",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058307137840877600,
"author_id": 588670121585803300,
"author_name": "Stotram",
"timestamp": "12/30/2022 03:54:44",
"content": "yo snow how can you tex so fast",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058307143905845200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:54:45",
"content": "like we started with this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058307182027882500,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:54:54",
"content": "o yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058307197253210100,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:54:58",
"content": "so like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058307203808899100,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:54:59",
"content": "snow is not human",
"attachments": [],
"mentions": [
{
"id": 588670121585803300,
"name": "Stotram",
"discriminator": "9095",
"nickname": "Stotram",
"isBot": false
}
],
"reference": null
},
{
"id": 1058307249627480000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 03:55:10",
"content": "",
"attachments": [
{
"id": 1058307249484877800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058307249484877884/118663865264242688.png",
"fileName": "118663865264242688.png",
"fileSizeBytes": 8262
}
],
"mentions": [],
"reference": null
},
{
"id": 1058307298067493000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:55:22",
"content": "and so you can like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058307306330275800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:55:24",
"content": "sub it back ig",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058307411070431200,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:55:49",
"content": "so",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058307442506735600,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:55:56",
"content": "O(4^(logn) - 3^(logn))",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058307506377601000,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:56:11",
"content": "oh wait i thought were ignoring the T(0)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058307512501272600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 03:56:13",
"content": "",
"attachments": [
{
"id": 1058307512333512700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058307512333512704/118663865264242688.png",
"fileName": "118663865264242688.png",
"fileSizeBytes": 15677
}
],
"mentions": [],
"reference": null
},
{
"id": 1058307543862104000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:56:20",
"content": "eh we'll just leave it in",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058307548542935000,
"author_id": 588670121585803300,
"author_name": "Stotram",
"timestamp": "12/30/2022 03:56:21",
"content": "sorry to interrupt but which topic is this question from?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058307556600197100,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:56:23",
"content": "drop it later",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058307592197242900,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:56:32",
"content": "algorithms",
"attachments": [],
"mentions": [
{
"id": 588670121585803300,
"name": "Stotram",
"discriminator": "9095",
"nickname": "Stotram",
"isBot": false
}
],
"reference": null
},
{
"id": 1058307615349821400,
"author_id": 588670121585803300,
"author_name": "Stotram",
"timestamp": "12/30/2022 03:56:37",
"content": "ok thx",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058307674141364200,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:56:51",
"content": "yesmam",
"attachments": [],
"mentions": [
{
"id": 118663865264242690,
"name": "夢雪",
"discriminator": "2250",
"nickname": "snow",
"isBot": false
}
],
"reference": null
},
{
"id": 1058307739413123100,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:57:07",
"content": "so is that the upper bound",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058307907357245400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:57:47",
"content": "upper bound will be something like 4^log2(n) ig",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058307921198460900,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:57:50",
"content": "and like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058307972721287200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:58:03",
"content": "4^log2(n) is n^2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308082112938000,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:58:29",
"content": "wait why not\n$O(4^{logn} = 3^{logn})$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308089918525400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 03:58:31",
"content": "",
"attachments": [
{
"id": 1058308089742360600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058308089742360576/118663865264242688.png",
"fileName": "118663865264242688.png",
"fileSizeBytes": 9475
}
],
"mentions": [],
"reference": null
},
{
"id": 1058308091311050900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 03:58:31",
"content": "**WolframAlpha**",
"attachments": [
{
"id": 1058308091147464700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058308091147464714/560241701612945428.png",
"fileName": "560241701612945428.png",
"fileSizeBytes": 11576
}
],
"mentions": [],
"reference": null
},
{
"id": 1058308117697400800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:58:37",
"content": "oh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308131094016100,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:58:40",
"content": "because like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308139570700300,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:58:42",
"content": "i mean minus",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308163717304300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:58:48",
"content": "3^logn is smaller than 4^logn",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308169681608800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:58:50",
"content": "like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308190275641300,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:58:54",
"content": "but like its not a constant",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308204502720600,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:58:58",
"content": ":sully:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308206968983600,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:58:58",
"content": "its insignificant for large n",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308299298189400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 03:59:20",
"content": "",
"attachments": [
{
"id": 1058308299084271700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058308299084271686/118663865264242688.png",
"fileName": "118663865264242688.png",
"fileSizeBytes": 11355
}
],
"mentions": [],
"reference": null
},
{
"id": 1058308324803747800,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:59:27",
"content": "ohhh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308333867634700,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:59:29",
"content": "okay",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308339299270700,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:59:30",
"content": "i gets",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308353622818800,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:59:33",
"content": "thanks alot madam snow",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308376855064700,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:59:39",
"content": "happy new year yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308387550535700,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:59:42",
"content": ":catclap:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308389760934000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:59:42",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308394076885100,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:59:43",
"content": ":sotrue:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308403379830800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:59:45",
"content": "happy new ears",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308417246220300,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 03:59:49",
"content": "ears",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308431427153900,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:59:52",
"content": "ears",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308454202220700,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 03:59:57",
"content": "so ig you can say like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308536733548500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 04:00:17",
"content": "",
"attachments": [
{
"id": 1058308536569962600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058308536569962597/118663865264242688.png",
"fileName": "118663865264242688.png",
"fileSizeBytes": 10109
}
],
"mentions": [],
"reference": null
},
{
"id": 1058308547051540500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 04:00:20",
"content": "okay maybe not omega but",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308559076597900,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 04:00:22",
"content": "that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308946424766500,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 04:01:55",
"content": "Hm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308960987381800,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 04:01:58",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058308981354926100,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 04:02:03",
"content": "Thx madam",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058309002968178800,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "12/30/2022 04:02:08",
"content": ":sadcatthumbsup: :sadcatthumbsup: :sadcatthumbsup: :sadcatthumbsup: :sadcatthumbsup: :sadcatthumbsup: :sadcatthumbsup:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058309328441987200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 04:03:26",
"content": ":Dorime:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058316553982058600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 04:32:09",
"content": "@HellO Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 560241701612945400,
"name": "HellO",
"discriminator": "6239",
"nickname": "WolframAlpha",
"isBot": false
}
],
"reference": null
},
{
"id": 1058316795183902800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 04:33:06",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
760b17e3831242668d69232ed6d4ca04
|
200,425 |
[
{
"id": 1058327199381467300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 05:14:27",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058328718738735100,
"author_id": 853201495524900900,
"author_name": "TheGeneralisedPerson",
"timestamp": "12/30/2022 05:20:29",
"content": "",
"attachments": [
{
"id": 1058328718113771500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058328718113771540/image.png",
"fileName": "image.png",
"fileSizeBytes": 128795
}
],
"mentions": [],
"reference": null
},
{
"id": 1058328721263689700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 05:20:29",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058328718738735100,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058330560935764000,
"author_id": 853201495524900900,
"author_name": "TheGeneralisedPerson",
"timestamp": "12/30/2022 05:27:48",
"content": "@Helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058330710731141100,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "12/30/2022 05:28:24",
"content": "wait 15 min",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058330899776806900,
"author_id": 853201495524900900,
"author_name": "TheGeneralisedPerson",
"timestamp": "12/30/2022 05:29:09",
"content": "woops",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058330905325863000,
"author_id": 853201495524900900,
"author_name": "TheGeneralisedPerson",
"timestamp": "12/30/2022 05:29:10",
"content": "sorry",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058331296696381400,
"author_id": 418093475595157500,
"author_name": "Goose",
"timestamp": "12/30/2022 05:30:43",
"content": "use cauchy schwartz @TheGeneralisedPerson",
"attachments": [],
"mentions": [
{
"id": 853201495524900900,
"name": "TheGeneralisedPerson",
"discriminator": "3988",
"nickname": "TheGeneralisedPerson",
"isBot": false
}
],
"reference": null
},
{
"id": 1058333106475643000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 05:37:55",
"content": ",w 1/((a+1)^2) + 1/((b+1)^2) + 1/((c+1)^2) where (a,b,c)=(1/3,1/3,1/3)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058333138406871200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 05:38:03",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058333176398872600,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 05:38:12",
"content": ",w 27/16 >= 9/4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058333183801823200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 05:38:13",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058333200063148000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 05:38:17",
"content": ":thonk:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058334436766257200,
"author_id": 853201495524900900,
"author_name": "TheGeneralisedPerson",
"timestamp": "12/30/2022 05:43:12",
"content": "how tho",
"attachments": [],
"mentions": [
{
"id": 418093475595157500,
"name": "Goose",
"discriminator": "3018",
"nickname": "Goose",
"isBot": false
}
],
"reference": null
},
{
"id": 1058334604391620700,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 05:43:52",
"content": "the inequality is just false :thonk:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058335378551091300,
"author_id": 853201495524900900,
"author_name": "TheGeneralisedPerson",
"timestamp": "12/30/2022 05:46:57",
"content": "bruh",
"attachments": [],
"mentions": [
{
"id": 510789298321096700,
"name": "TeXit",
"discriminator": "0796",
"nickname": "TeXit",
"isBot": true
}
],
"reference": null
},
{
"id": 1058335385375223900,
"author_id": 853201495524900900,
"author_name": "TheGeneralisedPerson",
"timestamp": "12/30/2022 05:46:58",
"content": "ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058335411434438700,
"author_id": 853201495524900900,
"author_name": "TheGeneralisedPerson",
"timestamp": "12/30/2022 05:47:05",
"content": "i got this question from chatgpt",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058335422197006300,
"author_id": 853201495524900900,
"author_name": "TheGeneralisedPerson",
"timestamp": "12/30/2022 05:47:07",
"content": "makes sense",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058335429507682300,
"author_id": 853201495524900900,
"author_name": "TheGeneralisedPerson",
"timestamp": "12/30/2022 05:47:09",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058335432364007600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 05:47:09",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
8f77045d73d74cc2b7547593bbaffbb7
|
200,426 |
[
{
"id": 1058335686131982300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 05:48:10",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058337611330109400,
"author_id": 806959978770071600,
"author_name": "Sirius",
"timestamp": "12/30/2022 05:55:49",
"content": "Is my matrices multiplication correct? (A & B are matrices). Thanks.",
"attachments": [
{
"id": 1058337611120377900,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058337611120377906/3320.jpeg",
"fileName": "3320.jpeg",
"fileSizeBytes": 42903
}
],
"mentions": [],
"reference": null
},
{
"id": 1058337615180480500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 05:55:50",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058337611330109400,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058337889555054600,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/30/2022 05:56:55",
"content": "This doesn't seem right",
"attachments": [
{
"id": 1058337889206935600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058337889206935562/image.png",
"fileName": "image.png",
"fileSizeBytes": 81007
}
],
"mentions": [],
"reference": null
},
{
"id": 1058337979573227500,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/30/2022 05:57:17",
"content": "what happened here?",
"attachments": [
{
"id": 1058337979191529500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058337979191529512/image.png",
"fileName": "image.png",
"fileSizeBytes": 26642
}
],
"mentions": [],
"reference": null
},
{
"id": 1058338019125506000,
"author_id": 518716603928543200,
"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "12/30/2022 05:57:26",
"content": "The position of A is ok but -b is not ok",
"attachments": [],
"mentions": [
{
"id": 374795910032523260,
"name": "SWR",
"discriminator": "8588",
"nickname": "SWR",
"isBot": false
}
],
"reference": null
},
{
"id": 1058338019830157300,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/30/2022 05:57:26",
"content": "Oh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058338045188919400,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/30/2022 05:57:32",
"content": "That's (A+B)*(-B)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058338103791714300,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/30/2022 05:57:46",
"content": "True",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058338109143662600,
"author_id": 518716603928543200,
"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "12/30/2022 05:57:48",
"content": "Or $(-B)(A+B)$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058338181336010800,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/30/2022 05:58:05",
"content": "@Sirius use parentheses",
"attachments": [],
"mentions": [
{
"id": 806959978770071600,
"name": "Sirius",
"discriminator": "3496",
"nickname": "Sirius",
"isBot": false
}
],
"reference": null
},
{
"id": 1058338194212536300,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/30/2022 05:58:08",
"content": "If -b with parenthesis its okay",
"attachments": [],
"mentions": [
{
"id": 518716603928543200,
"name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"discriminator": "6985",
"nickname": "Arnab",
"isBot": false
}
],
"reference": null
},
{
"id": 1058338256510517200,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/30/2022 05:58:23",
"content": "This is not okay",
"attachments": [],
"mentions": [
{
"id": 510789298321096700,
"name": "TeXit",
"discriminator": "0796",
"nickname": "TeXit",
"isBot": true
}
],
"reference": null
},
{
"id": 1058338368783651000,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/30/2022 05:58:50",
"content": "Yep",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058338390644371500,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/30/2022 05:58:55",
"content": "Order matters",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058338399708266600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 05:58:57",
"content": "**Arnab Pal**",
"attachments": [
{
"id": 1058338399469183000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058338399469183006/518716603928543234.png",
"fileName": "518716603928543234.png",
"fileSizeBytes": 6074
}
],
"mentions": [],
"reference": null
},
{
"id": 1058338446369898500,
"author_id": 806959978770071600,
"author_name": "Sirius",
"timestamp": "12/30/2022 05:59:08",
"content": "multiplication with -B",
"attachments": [],
"mentions": [
{
"id": 374795910032523260,
"name": "SWR",
"discriminator": "8588",
"nickname": "SWR",
"isBot": false
}
],
"reference": null
},
{
"id": 1058338467597267000,
"author_id": 518716603928543200,
"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "12/30/2022 05:59:13",
"content": "Interesting but it matters?@idontsleepanymore",
"attachments": [],
"mentions": [
{
"id": 489120531186974700,
"name": "idontsleepanymore",
"discriminator": "8460",
"nickname": "idontsleepanymore",
"isBot": false
}
],
"reference": null
},
{
"id": 1058338467945382000,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/30/2022 05:59:13",
"content": "@𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛 are you familiar with matrix multiplication?",
"attachments": [],
"mentions": [
{
"id": 518716603928543200,
"name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"discriminator": "6985",
"nickname": "Arnab",
"isBot": false
}
],
"reference": null
},
{
"id": 1058338474454949900,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/30/2022 05:59:15",
"content": "Still not right -b has to be post multiplied",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058338491924222000,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/30/2022 05:59:19",
"content": "Yea",
"attachments": [],
"mentions": [
{
"id": 518716603928543200,
"name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"discriminator": "6985",
"nickname": "Arnab",
"isBot": false
}
],
"reference": null
},
{
"id": 1058338555988021400,
"author_id": 518716603928543200,
"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "12/30/2022 05:59:34",
"content": "Not too familiar I thought it was Variable",
"attachments": [],
"mentions": [
{
"id": 374795910032523260,
"name": "SWR",
"discriminator": "8588",
"nickname": "SWR",
"isBot": false
}
],
"reference": null
},
{
"id": 1058338569854406700,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/30/2022 05:59:38",
"content": "Yeah, in matrix multiplication AB != BA",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058338607594754000,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/30/2022 05:59:47",
"content": "They are variable, but not of single numbers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058338641610551300,
"author_id": 518716603928543200,
"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "12/30/2022 05:59:55",
"content": "Ohhh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058338675336949800,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/30/2022 06:00:03",
"content": "And, in general, the order you multiply them matters",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058338757356556300,
"author_id": 518716603928543200,
"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "12/30/2022 06:00:22",
"content": "Ok got that point",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058338970884386800,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/30/2022 06:01:13",
"content": "Also",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058339068636823700,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/30/2022 06:01:36",
"content": "Matrix multiplication depends on the dimensions of the matrices being multiplied",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058339268092760200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/30/2022 06:02:24",
"content": "If A is nxm and B is mx1, then their product can only be AB, or else the multiplication won't work.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058339427006554100,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/30/2022 06:03:02",
"content": "Because the columns of the first should be the same as the rows of the second",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058339446036123600,
"author_id": 806959978770071600,
"author_name": "Sirius",
"timestamp": "12/30/2022 06:03:06",
"content": "Is it fine now?",
"attachments": [
{
"id": 1058339445818003500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058339445818003466/3200.jpeg",
"fileName": "3200.jpeg",
"fileSizeBytes": 38769
}
],
"mentions": [],
"reference": null
},
{
"id": 1058339769299521500,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/30/2022 06:04:24",
"content": "It looks good now",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058340172938358900,
"author_id": 806959978770071600,
"author_name": "Sirius",
"timestamp": "12/30/2022 06:06:00",
"content": "Many thanks @SWR @VulcanOne 🙂",
"attachments": [],
"mentions": [
{
"id": 1000057838007226500,
"name": "VulcanOne",
"discriminator": "5806",
"nickname": "VulcanOne",
"isBot": false
},
{
"id": 374795910032523260,
"name": "SWR",
"discriminator": "8588",
"nickname": "SWR",
"isBot": false
}
],
"reference": null
},
{
"id": 1058340194413191300,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "12/30/2022 06:06:05",
"content": ":librasmile:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058340346230218800,
"author_id": 806959978770071600,
"author_name": "Sirius",
"timestamp": "12/30/2022 06:06:41",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058340350315483100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 06:06:42",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
1af10caae6f0439285913e7e0e7d0248
|
200,427 |
[
{
"id": 1058344506707152900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 06:23:13",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058348288602034200,
"author_id": 474352022607364100,
"author_name": "Krispeh",
"timestamp": "12/30/2022 06:38:15",
"content": ",w $\\frac{d}{dx}(x^2cos(\\frac{1}{2}x)$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058348290967605200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 06:38:15",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058348288602034200,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058348500351471700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 06:39:05",
"content": "",
"attachments": [
{
"id": 1058348500137545900,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058348500137545818/wolf.png",
"fileName": "wolf.png",
"fileSizeBytes": 4702
}
],
"mentions": [],
"reference": null
},
{
"id": 1058348501362290700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 06:39:05",
"content": "",
"attachments": [
{
"id": 1058348501383258100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058348501383258132/wolf.png",
"fileName": "wolf.png",
"fileSizeBytes": 19341
}
],
"mentions": [],
"reference": null
},
{
"id": 1058348502662529000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 06:39:06",
"content": "",
"attachments": [
{
"id": 1058348502473773200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058348502473773147/wolf.png",
"fileName": "wolf.png",
"fileSizeBytes": 19975
}
],
"mentions": [],
"reference": null
},
{
"id": 1058348503744655500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 06:39:06",
"content": "",
"attachments": [
{
"id": 1058348503581085700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058348503581085696/wolf.png",
"fileName": "wolf.png",
"fileSizeBytes": 18959
}
],
"mentions": [],
"reference": null
},
{
"id": 1058348504780644500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 06:39:06",
"content": "",
"attachments": [
{
"id": 1058348504910663700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058348504910663680/wolf.png",
"fileName": "wolf.png",
"fileSizeBytes": 5996
}
],
"mentions": [],
"reference": null
},
{
"id": 1058349178872397800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/30/2022 06:41:47",
"content": "?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058349394635804800,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/30/2022 06:42:38",
"content": "Looks right to me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058350060544475100,
"author_id": 474352022607364100,
"author_name": "Krispeh",
"timestamp": "12/30/2022 06:45:17",
"content": "One sec",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058350108284039300,
"author_id": 474352022607364100,
"author_name": "Krispeh",
"timestamp": "12/30/2022 06:45:29",
"content": "Where does the...",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058350127774974100,
"author_id": 474352022607364100,
"author_name": "Krispeh",
"timestamp": "12/30/2022 06:45:33",
"content": "nvm i see it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058350158166888600,
"author_id": 474352022607364100,
"author_name": "Krispeh",
"timestamp": "12/30/2022 06:45:40",
"content": "I thought the factoring was wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058353934269431800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 07:00:41",
"content": "@Krispeh Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 474352022607364100,
"name": "Krispeh",
"discriminator": "9168",
"nickname": "Krispeh",
"isBot": false
}
],
"reference": null
},
{
"id": 1058357710715887600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 07:15:41",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
1155a2f0ea0e4e1b9abef45c2b4d3a37
|
200,428 |
[
{
"id": 1058357962915201000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 07:16:41",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058364091183419500,
"author_id": 509886274945941500,
"author_name": "metnal",
"timestamp": "12/30/2022 07:41:02",
"content": "\\begin{align*}\n x' &= r\\cos(\\theta+\\phi)\\\\\n &= r\\cos\\theta\\cos\\phi - r\\sin\\theta\\sin\\phi\n\\end{align*}",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058364093658042500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 07:41:03",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058364091183419500,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058364101073567700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 07:41:05",
"content": "**metnal**",
"attachments": [
{
"id": 1058364101211996200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058364101211996160/509886274945941510.png",
"fileName": "509886274945941510.png",
"fileSizeBytes": 15589
}
],
"mentions": [],
"reference": null
},
{
"id": 1058364172527751200,
"author_id": 509886274945941500,
"author_name": "metnal",
"timestamp": "12/30/2022 07:41:22",
"content": "why is the second equation correct?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058364200172400600,
"author_id": 509886274945941500,
"author_name": "metnal",
"timestamp": "12/30/2022 07:41:28",
"content": "which trigonometric formula was used here",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058364328044150800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/30/2022 07:41:59",
"content": "The cos angle sum formula",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058364841414377500,
"author_id": 509886274945941500,
"author_name": "metnal",
"timestamp": "12/30/2022 07:44:01",
"content": "thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058364844539134000,
"author_id": 509886274945941500,
"author_name": "metnal",
"timestamp": "12/30/2022 07:44:02",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058364847525474300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 07:44:03",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
59715f6510314ce4bd90a69f1b18b6ac
|
200,429 |
[
{
"id": 1058368641969684500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 07:59:07",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058369302287360100,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "12/30/2022 08:01:45",
"content": "did some trigo function question and this is my answer vs. whats in the book, pretty sure my answer is valid but im not sure i checked it correctly",
"attachments": [
{
"id": 1058369301893091500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058369301893091418/image.png",
"fileName": "image.png",
"fileSizeBytes": 36185
}
],
"mentions": [],
"reference": null
},
{
"id": 1058369304665526300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 08:01:45",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058369302287360100,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058369335380410500,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "12/30/2022 08:01:53",
"content": "how can I tell?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058373111210315800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 08:16:53",
"content": "@ImFlower Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 329571312240558100,
"name": "ImFlower",
"discriminator": "0966",
"nickname": "ImFlower",
"isBot": false
}
],
"reference": null
},
{
"id": 1058373831649136800,
"author_id": 266573406919589900,
"author_name": "Jigglyproff",
"timestamp": "12/30/2022 08:19:45",
"content": "answer to... what?",
"attachments": [],
"mentions": [
{
"id": 329571312240558100,
"name": "ImFlower",
"discriminator": "0966",
"nickname": "ImFlower",
"isBot": false
}
],
"reference": null
},
{
"id": 1058374020422193200,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "12/30/2022 08:20:30",
"content": "",
"attachments": [
{
"id": 1058374019893698600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058374019893698580/image.png",
"fileName": "image.png",
"fileSizeBytes": 106570
}
],
"mentions": [
{
"id": 266573406919589900,
"name": "Jigglyproff",
"discriminator": "4511",
"nickname": "Jigglyproff",
"isBot": false
}
],
"reference": null
},
{
"id": 1058374310319902800,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "12/30/2022 08:21:39",
"content": "oh thats a first, using 0 for degrees instead of circ",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058374596073623600,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "12/30/2022 08:22:47",
"content": "your answer is fine",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058374825753706500,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "12/30/2022 08:23:42",
"content": "10,20,40,60 mod 60 is the same as 10,20 mod 30",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058381571461226500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 08:50:30",
"content": "@ImFlower Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 329571312240558100,
"name": "ImFlower",
"discriminator": "0966",
"nickname": "ImFlower",
"isBot": false
}
],
"reference": null
},
{
"id": 1058381652008648700,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "12/30/2022 08:50:49",
"content": "lovely, thanks @Toby",
"attachments": [],
"mentions": [
{
"id": 764959481070616600,
"name": "Toby",
"discriminator": "2275",
"nickname": "Toby",
"isBot": false
}
],
"reference": null
},
{
"id": 1058381663249371100,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "12/30/2022 08:50:52",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058381666294431700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 08:50:53",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
4d0c42896a9648399abde794557205cd
|
200,430 |
[
{
"id": 1058381918535688300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 08:51:53",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058386333418143700,
"author_id": 211756283584446460,
"author_name": "balance",
"timestamp": "12/30/2022 09:09:25",
"content": "hi",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058386336198963200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 09:09:26",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058386333418143700,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058386352015675500,
"author_id": 211756283584446460,
"author_name": "balance",
"timestamp": "12/30/2022 09:09:30",
"content": "https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Supplemental_Modules_(Physical_and_Theoretical_Chemistry)/Quantum_Mechanics/05.5%3A_Particle_in_Boxes/Particle_in_a_1-Dimensional_box",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058386390720712800,
"author_id": 211756283584446460,
"author_name": "balance",
"timestamp": "12/30/2022 09:09:39",
"content": "why is (11) not true for n=0?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058386503732043800,
"author_id": 211756283584446460,
"author_name": "balance",
"timestamp": "12/30/2022 09:10:06",
"content": "I mean, we can simply say E=0 et voila, it works. What tells us that E > 0?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058387395071983600,
"author_id": 211756283584446460,
"author_name": "balance",
"timestamp": "12/30/2022 09:13:38",
"content": "ah, I guess E = 0 => particle in rest => locatable => heisenberg sad?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058387594897006600,
"author_id": 211756283584446460,
"author_name": "balance",
"timestamp": "12/30/2022 09:14:26",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058387597623304300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 09:14:27",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
8becd9effbd94f139610296a72fc04a4
|
200,431 |
[
{
"id": 1058388863384571900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 09:19:28",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058393377604907000,
"author_id": 474352022607364100,
"author_name": "Krispeh",
"timestamp": "12/30/2022 09:37:25",
"content": "I have a question which requires I put the equation $\\frac{4x+3}{x+2}$ in the form $A+\\frac{B}{x+2}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058393379777560600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 09:37:25",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058393377604907000,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058393540197089300,
"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "12/30/2022 09:38:03",
"content": "$\\frac{4x+3}{x+2} = A+ \\frac{B}{x+2}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058393549047091200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 09:38:06",
"content": "**Krispeh**",
"attachments": [
{
"id": 1058393548841554000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058393548841553990/474352022607364099.png",
"fileName": "474352022607364099.png",
"fileSizeBytes": 28072
}
],
"mentions": [],
"reference": null
},
{
"id": 1058393549529436300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 09:38:06",
"content": "**NEONPerseus**",
"attachments": [
{
"id": 1058393549361655800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058393549361655838/718461587236716584.png",
"fileName": "718461587236716584.png",
"fileSizeBytes": 7435
}
],
"mentions": [],
"reference": null
},
{
"id": 1058393571893456900,
"author_id": 474352022607364100,
"author_name": "Krispeh",
"timestamp": "12/30/2022 09:38:11",
"content": "there",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058393616634097800,
"author_id": 474352022607364100,
"author_name": "Krispeh",
"timestamp": "12/30/2022 09:38:22",
"content": "how can I do this?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058393872574714000,
"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "12/30/2022 09:39:23",
"content": "Do you specifically want it as a sum?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058395200227115000,
"author_id": 144167323266318340,
"author_name": "Rijinaru",
"timestamp": "12/30/2022 09:44:39",
"content": "Hint: 4x + 3 = 4(x + 2) - 5",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058395283584729100,
"author_id": 702550180154835000,
"author_name": "GameSwitch",
"timestamp": "12/30/2022 09:44:59",
"content": "Probably they asked given that A and B are integers? In that case:\n$\\frac{4x+3}{x+2} = A+ \\frac{B}{x+2}\\\\$\n$\\frac{4x+3}{x+2} = \\frac{A(x+2) + B}{x+2}\\\\$\n$\\frac{4x+3}{x+2} = \\frac{Ax + 2A + B}{x+2}\\\\$\nNow with comparison, we can see that 4x = Ax, giving A = 4\nTry to find B with comparison too!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058395355353468900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 09:45:16",
"content": "**GameSwitch**",
"attachments": [
{
"id": 1058395355106001000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058395355106000976/702550180154834984.png",
"fileName": "702550180154834984.png",
"fileSizeBytes": 81744
}
],
"mentions": [],
"reference": null
},
{
"id": 1058396066090852400,
"author_id": 474352022607364100,
"author_name": "Krispeh",
"timestamp": "12/30/2022 09:48:06",
"content": "ah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058396077600026800,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "12/30/2022 09:48:08",
"content": "polynomial long division is another way",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058396128107835500,
"author_id": 474352022607364100,
"author_name": "Krispeh",
"timestamp": "12/30/2022 09:48:20",
"content": "yea dat as well",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058396197045416100,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "12/30/2022 09:48:37",
"content": "method above is much better imo",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058396259427295400,
"author_id": 474352022607364100,
"author_name": "Krispeh",
"timestamp": "12/30/2022 09:48:52",
"content": "that makes senseee",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058396264477229200,
"author_id": 474352022607364100,
"author_name": "Krispeh",
"timestamp": "12/30/2022 09:48:53",
"content": "thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058396342545817700,
"author_id": 474352022607364100,
"author_name": "Krispeh",
"timestamp": "12/30/2022 09:49:12",
"content": "they say constants but yes that works",
"attachments": [],
"mentions": [
{
"id": 702550180154835000,
"name": "GameSwitch",
"discriminator": "9172",
"nickname": "GameSwitch",
"isBot": false
}
],
"reference": null
},
{
"id": 1058400118509948900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 10:04:12",
"content": "@Krispeh Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 474352022607364100,
"name": "Krispeh",
"discriminator": "9168",
"nickname": "Krispeh",
"isBot": false
}
],
"reference": null
},
{
"id": 1058403895002546200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 10:19:12",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
0227447d7f514aa2a7a0cd7d1aec5f59
|
200,432 |
[
{
"id": 1035115727990030300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 05:00:21",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035116687902658600,
"author_id": 705269586454511600,
"author_name": "Ken Haruto",
"timestamp": "10/27/2022 05:04:09",
"content": "",
"attachments": [
{
"id": 1035116687550324700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1035116687550324756/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 2062
}
],
"mentions": [],
"reference": null
},
{
"id": 1035116690717036500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 05:04:10",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1035116687902658600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1035116715874463700,
"author_id": 705269586454511600,
"author_name": "Ken Haruto",
"timestamp": "10/27/2022 05:04:16",
"content": "how to solve this in a simple way",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035116926592106500,
"author_id": 121075349667708930,
"author_name": "Hexicle",
"timestamp": "10/27/2022 05:05:06",
"content": "notice the derivative of the denominator is equal to the numerator up to a constant, and use the fact that ln(fx))' = f'(x)/f(x).",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035117061803880600,
"author_id": 705269586454511600,
"author_name": "Ken Haruto",
"timestamp": "10/27/2022 05:05:39",
"content": "can u show me",
"attachments": [],
"mentions": [
{
"id": 121075349667708930,
"name": "Hexicle",
"discriminator": "3758",
"nickname": "Hexicle",
"isBot": false
}
],
"reference": null
},
{
"id": 1035117713342861300,
"author_id": 121075349667708930,
"author_name": "Hexicle",
"timestamp": "10/27/2022 05:08:14",
"content": "The derivative of the denominator is -3. The numerator is 1 which is equal to -3 up to a scalar, so the integral is -log(5-3x)/3 + C",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035118727894671500,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/27/2022 05:12:16",
"content": "$-\\frac{1}{3} \\int \\frac{-3}{5-3x} \\ dx$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035118736690131000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/27/2022 05:12:18",
"content": "**Pure**",
"attachments": [
{
"id": 1035118736744644600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1035118736744644629/607479321350635520.png",
"fileName": "607479321350635520.png",
"fileSizeBytes": 11696
}
],
"mentions": [],
"reference": null
},
{
"id": 1035118741240942700,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/27/2022 05:12:19",
"content": "If this helps",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035119283333771300,
"author_id": 705269586454511600,
"author_name": "Ken Haruto",
"timestamp": "10/27/2022 05:14:28",
"content": "ohh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035119293475594200,
"author_id": 705269586454511600,
"author_name": "Ken Haruto",
"timestamp": "10/27/2022 05:14:31",
"content": "now i see",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035119325629124600,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/27/2022 05:14:38",
"content": ":catclap:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035119556139679700,
"author_id": 705269586454511600,
"author_name": "Ken Haruto",
"timestamp": "10/27/2022 05:15:33",
"content": "wait no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035119571855740900,
"author_id": 705269586454511600,
"author_name": "Ken Haruto",
"timestamp": "10/27/2022 05:15:37",
"content": "i thought i got it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035119586686795800,
"author_id": 705269586454511600,
"author_name": "Ken Haruto",
"timestamp": "10/27/2022 05:15:41",
"content": "but nah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035119609474453500,
"author_id": 705269586454511600,
"author_name": "Ken Haruto",
"timestamp": "10/27/2022 05:15:46",
"content": "its still not clicking my head",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035119645197340700,
"author_id": 705269586454511600,
"author_name": "Ken Haruto",
"timestamp": "10/27/2022 05:15:55",
"content": "can someone show me steps",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035119668911947900,
"author_id": 705269586454511600,
"author_name": "Ken Haruto",
"timestamp": "10/27/2022 05:16:00",
"content": "like step by step",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035120094013042700,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/27/2022 05:17:42",
"content": "$\\int \\frac{1}{5-3x} \\ dx=-\\frac{1}{3} \\int \\frac{-3}{5-3x} \\ dx$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035120166838751400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/27/2022 05:17:59",
"content": "**Pure**",
"attachments": [
{
"id": 1035120167027486700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1035120167027486760/607479321350635520.png",
"fileName": "607479321350635520.png",
"fileSizeBytes": 14617
}
],
"mentions": [],
"reference": null
},
{
"id": 1035120197713014800,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/27/2022 05:18:06",
"content": "Now let u=5-3x",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035120224942424200,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/27/2022 05:18:13",
"content": "du=-3dx",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035120278163963900,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/27/2022 05:18:25",
"content": "So",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035120435714601000,
"author_id": 705269586454511600,
"author_name": "Ken Haruto",
"timestamp": "10/27/2022 05:19:03",
"content": "wait is du the constant of x",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035120489514926100,
"author_id": 705269586454511600,
"author_name": "Ken Haruto",
"timestamp": "10/27/2022 05:19:16",
"content": "is that why its in the numerator",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035120563653464000,
"author_id": 705269586454511600,
"author_name": "Ken Haruto",
"timestamp": "10/27/2022 05:19:33",
"content": "and if it is, why are we taking -1/3 common",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035120690866700300,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/27/2022 05:20:04",
"content": "I have no idea what you’re taking about",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035120720147132400,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/27/2022 05:20:11",
"content": "But this is just basic u substitution",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035120741835874300,
"author_id": 705269586454511600,
"author_name": "Ken Haruto",
"timestamp": "10/27/2022 05:20:16",
"content": "oh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035120776233365500,
"author_id": 705269586454511600,
"author_name": "Ken Haruto",
"timestamp": "10/27/2022 05:20:24",
"content": "just explain me the -1/3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035120789885833200,
"author_id": 705269586454511600,
"author_name": "Ken Haruto",
"timestamp": "10/27/2022 05:20:27",
"content": "thats all",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035120808714047500,
"author_id": 705269586454511600,
"author_name": "Ken Haruto",
"timestamp": "10/27/2022 05:20:32",
"content": "i got the rest of it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035120857657389200,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/27/2022 05:20:44",
"content": "$-\\frac{1}{3} \\int \\frac{-3}{5-3x} \\ dx$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035120867430121500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/27/2022 05:20:46",
"content": "**Pure**",
"attachments": [
{
"id": 1035120866943565800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1035120866943565854/607479321350635520.png",
"fileName": "607479321350635520.png",
"fileSizeBytes": 11696
}
],
"mentions": [],
"reference": null
},
{
"id": 1035120875504140300,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/27/2022 05:20:48",
"content": "From here?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035120909029216300,
"author_id": 705269586454511600,
"author_name": "Ken Haruto",
"timestamp": "10/27/2022 05:20:56",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035121014553727000,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/27/2022 05:21:21",
"content": "I just multiplied the original integral by -3/-3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035121063086018600,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/27/2022 05:21:33",
"content": "This changed nothing as it’s just 1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035121267780624400,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/27/2022 05:22:21",
"content": "If we write u=5-3x then we have",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035121364526436400,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/27/2022 05:22:44",
"content": "$-\\frac{1}{3} \\int \\frac{du}{u}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035121379210707000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/27/2022 05:22:48",
"content": "**Pure**",
"attachments": [
{
"id": 1035121379030343700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1035121379030343690/607479321350635520.png",
"fileName": "607479321350635520.png",
"fileSizeBytes": 11794
}
],
"mentions": [],
"reference": null
},
{
"id": 1035124685257592800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 05:35:56",
"content": "@Ken Haruto Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 705269586454511600,
"name": "Ken Haruto",
"discriminator": "9792",
"nickname": "Ken Haruto",
"isBot": false
}
],
"reference": null
},
{
"id": 1035128463377567700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 05:50:57",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
df786c1805a9476e86deb2e979245e22
|
200,433 |
[
{
"id": 1058404147247972500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 10:20:12",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058405581586714800,
"author_id": 788110649342427100,
"author_name": "Quantum",
"timestamp": "12/30/2022 10:25:54",
"content": "Can I ask here a dumb math question?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058405583860023400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 10:25:55",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058405581586714800,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058405697928310800,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "12/30/2022 10:26:22",
"content": ":JustAsk:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058406056792969200,
"author_id": 788110649342427100,
"author_name": "Quantum",
"timestamp": "12/30/2022 10:27:48",
"content": "To convert grades into radians I use this formula : rad = angle * pi/180\nAnd to convert grades into radians :\nangle = rad * 180/pi",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058406275421044900,
"author_id": 788110649342427100,
"author_name": "Quantum",
"timestamp": "12/30/2022 10:28:40",
"content": "For example 4/5pi in grades would be :\nangle = 4/5*pi * 180/pi = 144°",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058406366487781500,
"author_id": 788110649342427100,
"author_name": "Quantum",
"timestamp": "12/30/2022 10:29:02",
"content": "As you can see radians are represented with pi",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058406565528481800,
"author_id": 788110649342427100,
"author_name": "Quantum",
"timestamp": "12/30/2022 10:29:49",
"content": "But in my text book I have just a number without pi...\nMy question is : is that number a radian? I mean that as it doesn't have pi then pi won't be semplified inside the formula",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058406669442355200,
"author_id": 788110649342427100,
"author_name": "Quantum",
"timestamp": "12/30/2022 10:30:14",
"content": "Like :\nangle = 4*180/pi=720/pi",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058406759942865000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/30/2022 10:30:35",
"content": "pi is just a number",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058406922472149100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/30/2022 10:31:14",
"content": "so an angle of 4 degrees is in fact 720/pi radians",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058406952700489700,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/30/2022 10:31:21",
"content": ",calc sin(4 deg)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058406954575343600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 10:31:22",
"content": "Result:\n```\n0.069756473744125\n```",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058406982895284400,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/30/2022 10:31:28",
"content": ",calc sin(720/pi)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058406986259107800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 10:31:29",
"content": "Result:\n```\n0.15254772534413\n```",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058407040013308000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/30/2022 10:31:42",
"content": "hmm hold on",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058407125627449300,
"author_id": 788110649342427100,
"author_name": "Quantum",
"timestamp": "12/30/2022 10:32:03",
"content": "I mean I have to convert these radians into grades",
"attachments": [
{
"id": 1058407125245759500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058407125245759548/20221230_163144.jpg",
"fileName": "20221230_163144.jpg",
"fileSizeBytes": 1496247
}
],
"mentions": [],
"reference": null
},
{
"id": 1058407129570099300,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/30/2022 10:32:03",
"content": ",calc sin(4pi/180)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058407131243614300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 10:32:04",
"content": "Result:\n```\n0.069756473744125\n```",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058407203146563600,
"author_id": 320966832863445000,
"author_name": "Stellar",
"timestamp": "12/30/2022 10:32:21",
"content": "pi doesn't necessarily mean it's in radians",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058407327541231700,
"author_id": 788110649342427100,
"author_name": "Quantum",
"timestamp": "12/30/2022 10:32:51",
"content": "But if I take 4 or 5/2 (shown in the picture) then the pi inside the formula won't semplify",
"attachments": [],
"mentions": [
{
"id": 320966832863445000,
"name": "Stellar",
"discriminator": "2915",
"nickname": "Stellar",
"isBot": false
}
],
"reference": null
},
{
"id": 1058407340950438000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/30/2022 10:32:54",
"content": "well it says theyre in radians",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058407441135575000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/30/2022 10:33:18",
"content": "well yeah but thats not necessarily a problem",
"attachments": [],
"mentions": [
{
"id": 788110649342427100,
"name": "Quantum",
"discriminator": "1600",
"nickname": "Quantum",
"isBot": false
}
],
"reference": null
},
{
"id": 1058407490917765100,
"author_id": 320966832863445000,
"author_name": "Stellar",
"timestamp": "12/30/2022 10:33:30",
"content": "How I quickly convert deg to rad:\ndeg * (pi/180)\n\nrad to deg:\nrad * (180/pi)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058407512744939600,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/30/2022 10:33:35",
"content": "you can have an angle of pi degrees",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058407551869386900,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/30/2022 10:33:44",
"content": "or roughly 3.1415 degrees",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058407726977396700,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/30/2022 10:34:26",
"content": "its weird but its not wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058407741066063900,
"author_id": 788110649342427100,
"author_name": "Quantum",
"timestamp": "12/30/2022 10:34:29",
"content": "Ok but what is \"4\"? How do I normally know if it's in radians or is just a pure number?\nI would know it if the number has \"pi\" in it like 4pi",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058407822926291100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/30/2022 10:34:49",
"content": "i would hope they tell you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058407902706139100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/30/2022 10:35:08",
"content": "i think usually the convention is to mark grades with a degree symbol and no symbol if its radians",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058407958616223900,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/30/2022 10:35:21",
"content": "so 60° = pi/3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058407989687632100,
"author_id": 320966832863445000,
"author_name": "Stellar",
"timestamp": "12/30/2022 10:35:29",
"content": "What does the exercise tell you to do?",
"attachments": [],
"mentions": [
{
"id": 788110649342427100,
"name": "Quantum",
"discriminator": "1600",
"nickname": "Quantum",
"isBot": false
}
],
"reference": null
},
{
"id": 1058408035359404200,
"author_id": 788110649342427100,
"author_name": "Quantum",
"timestamp": "12/30/2022 10:35:39",
"content": "Also if I calculate the grades of the radian \"4\" then it comes 720pi instead of 228° (57°*4)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058408098596929500,
"author_id": 788110649342427100,
"author_name": "Quantum",
"timestamp": "12/30/2022 10:35:54",
"content": "Convert these radians into grades",
"attachments": [],
"mentions": [
{
"id": 320966832863445000,
"name": "Stellar",
"discriminator": "2915",
"nickname": "Stellar",
"isBot": false
}
],
"reference": null
},
{
"id": 1058408186790543500,
"author_id": 788110649342427100,
"author_name": "Quantum",
"timestamp": "12/30/2022 10:36:16",
"content": "But my question is : how do I remove the pi from grades? (720pi)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058408251668054100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/30/2022 10:36:31",
"content": "you dont have to",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058408251814842500,
"author_id": 320966832863445000,
"author_name": "Stellar",
"timestamp": "12/30/2022 10:36:31",
"content": "I don't think you have to (?)",
"attachments": [],
"mentions": [
{
"id": 788110649342427100,
"name": "Quantum",
"discriminator": "1600",
"nickname": "Quantum",
"isBot": false
}
],
"reference": null
},
{
"id": 1058408350179672000,
"author_id": 788110649342427100,
"author_name": "Quantum",
"timestamp": "12/30/2022 10:36:54",
"content": "So you are telling me that 720pi is a grade?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058408399320142000,
"author_id": 788110649342427100,
"author_name": "Quantum",
"timestamp": "12/30/2022 10:37:06",
"content": "What about 4pi?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058408407314464800,
"author_id": 320966832863445000,
"author_name": "Stellar",
"timestamp": "12/30/2022 10:37:08",
"content": "If the exercise tells you to answer *exactly* then you should leave the pi.\nIf the exercise tells you to *round* the answer then you should round it.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058408528974458900,
"author_id": 788110649342427100,
"author_name": "Quantum",
"timestamp": "12/30/2022 10:37:37",
"content": "The fact is that the book doesnt have the result printed",
"attachments": [],
"mentions": [
{
"id": 320966832863445000,
"name": "Stellar",
"discriminator": "2915",
"nickname": "Stellar",
"isBot": false
}
],
"reference": null
},
{
"id": 1058408606808158200,
"author_id": 788110649342427100,
"author_name": "Quantum",
"timestamp": "12/30/2022 10:37:56",
"content": "Else I would have thought about the result by myself",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058408887776194600,
"author_id": 788110649342427100,
"author_name": "Quantum",
"timestamp": "12/30/2022 10:39:03",
"content": "Let me write down on paper my problem, if you didn't understand what need",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058408934706257900,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/30/2022 10:39:14",
"content": ",calc 720/pi",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058408936727904400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 10:39:14",
"content": "Result:\n```\n229.18311805233\n```",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058409019708026900,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/30/2022 10:39:34",
"content": "rounding error in the book probably",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058409279197024300,
"author_id": 788110649342427100,
"author_name": "Quantum",
"timestamp": "12/30/2022 10:40:36",
"content": "Ok so i consider (as the exercise told me to do) the number \"4\" as a radian and so leaving or calculating the 180/pi in the formula?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058410021613998100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/30/2022 10:43:33",
"content": "leaving if they ask for an exact answer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058410147036278900,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/30/2022 10:44:03",
"content": "i guess calculating 180/pi is fine in this context",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058410251990347800,
"author_id": 788110649342427100,
"author_name": "Quantum",
"timestamp": "12/30/2022 10:44:28",
"content": "Ok, thank you... It was just a doubt",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058410310186303600,
"author_id": 788110649342427100,
"author_name": "Quantum",
"timestamp": "12/30/2022 10:44:42",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058410313361408100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 10:44:43",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
665189dfd60f49f3a8172c83a5f95a8c
|
200,434 |
[
{
"id": 1058443798893576300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 12:57:46",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058446598356603000,
"author_id": 1010371915799593100,
"author_name": "Xeloneir",
"timestamp": "12/30/2022 13:08:54",
"content": "hey",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058446600579600400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 13:08:54",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058446598356603000,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058446632875737200,
"author_id": 1010371915799593100,
"author_name": "Xeloneir",
"timestamp": "12/30/2022 13:09:02",
"content": "how to solve this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058446646997942400,
"author_id": 1010371915799593100,
"author_name": "Xeloneir",
"timestamp": "12/30/2022 13:09:05",
"content": "",
"attachments": [
{
"id": 1058446646825992200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058446646825992212/image.png",
"fileName": "image.png",
"fileSizeBytes": 4891
}
],
"mentions": [],
"reference": null
},
{
"id": 1058446708247384000,
"author_id": 1010371915799593100,
"author_name": "Xeloneir",
"timestamp": "12/30/2022 13:09:20",
"content": "i know its -∞",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058446717336420400,
"author_id": 1010371915799593100,
"author_name": "Xeloneir",
"timestamp": "12/30/2022 13:09:22",
"content": "but how",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058446763100475500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/30/2022 13:09:33",
"content": "Literally erase low-order terms",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058446846600683600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/30/2022 13:09:53",
"content": "|-2x| grows much more than |e^(-x)|",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058446872282419200,
"author_id": 1010371915799593100,
"author_name": "Xeloneir",
"timestamp": "12/30/2022 13:09:59",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058446874622828700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/30/2022 13:09:59",
"content": "It ends up being the limit of -2x",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058446963340742800,
"author_id": 1010371915799593100,
"author_name": "Xeloneir",
"timestamp": "12/30/2022 13:10:21",
"content": "but i need to know how",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058446979639820400,
"author_id": 1010371915799593100,
"author_name": "Xeloneir",
"timestamp": "12/30/2022 13:10:24",
"content": "i mean steps for that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058446990503059600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/30/2022 13:10:27",
"content": "Memorize your graphs",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058447031003259000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/30/2022 13:10:37",
"content": "2x versus e^(-x)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058447035998666900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/30/2022 13:10:38",
"content": "Etc",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058447304090198000,
"author_id": 1010371915799593100,
"author_name": "Xeloneir",
"timestamp": "12/30/2022 13:11:42",
"content": "i mean i have to solve it using the Exp limits things",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058447355642388600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/30/2022 13:11:54",
"content": "Split the terms then",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058447404787044500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/30/2022 13:12:06",
"content": "lim (a + b + c) = lim a + lim b + lim c",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058447417382551700,
"author_id": 1010371915799593100,
"author_name": "Xeloneir",
"timestamp": "12/30/2022 13:12:09",
"content": "",
"attachments": [
{
"id": 1058447417093148700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058447417093148692/image.png",
"fileName": "image.png",
"fileSizeBytes": 116454
}
],
"mentions": [],
"reference": null
},
{
"id": 1058447467085041800,
"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "12/30/2022 13:12:21",
"content": ":devastation:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058447473619783700,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/30/2022 13:12:22",
"content": "Alt: exponentials beat polynomials, so the second $\\frac{x-1}{e^{x-2}}$ goes to zero",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058447480959799400,
"author_id": 1010371915799593100,
"author_name": "Xeloneir",
"timestamp": "12/30/2022 13:12:24",
"content": "like these (those are for ln and exp",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058447484118106200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 13:12:25",
"content": "**chartbit**",
"attachments": [
{
"id": 1058447483937755300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058447483937755276/788085606483361802.png",
"fileName": "788085606483361802.png",
"fileSizeBytes": 22245
}
],
"mentions": [],
"reference": null
},
{
"id": 1058447571380604900,
"author_id": 1010371915799593100,
"author_name": "Xeloneir",
"timestamp": "12/30/2022 13:12:46",
"content": "smart",
"attachments": [],
"mentions": [
{
"id": 349354952961032200,
"name": "Umbraleviathan",
"discriminator": "3607",
"nickname": "Umbraleviathan",
"isBot": false
}
],
"reference": null
},
{
"id": 1058448243345850500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/30/2022 13:15:26",
"content": "Bruh",
"attachments": [],
"mentions": [
{
"id": 1010371915799593100,
"name": "Xeloneir",
"discriminator": "5058",
"nickname": "Xeloneir",
"isBot": false
}
],
"reference": null
},
{
"id": 1058448313579479000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/30/2022 13:15:42",
"content": "Who tf memorizes those",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058448339961663600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/30/2022 13:15:49",
"content": "Nah G that shit useless",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058448349767946200,
"author_id": 1010371915799593100,
"author_name": "Xeloneir",
"timestamp": "12/30/2022 13:15:51",
"content": "me i huess",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058448380696727600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/30/2022 13:15:58",
"content": "I mean I guess to cut corners",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058448385851539500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/30/2022 13:16:00",
"content": "But like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058448405975806100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/30/2022 13:16:05",
"content": "That's just a table of suffering",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058448432643190900,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "12/30/2022 13:16:11",
"content": ":kekw:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058448437068189800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "12/30/2022 13:16:12",
"content": "~~Me because speed~~",
"attachments": [],
"mentions": [
{
"id": 349354952961032200,
"name": "Umbraleviathan",
"discriminator": "3607",
"nickname": "Umbraleviathan",
"isBot": false
}
],
"reference": null
},
{
"id": 1058448437189804000,
"author_id": 1010371915799593100,
"author_name": "Xeloneir",
"timestamp": "12/30/2022 13:16:12",
"content": "well i **Have** to use that table of torture",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058448509910646800,
"author_id": 1010371915799593100,
"author_name": "Xeloneir",
"timestamp": "12/30/2022 13:16:29",
"content": "because of our cool educating system",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058448540470349800,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "12/30/2022 13:16:37",
"content": "that promotes memorization as opposed to understanding",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058448605540782200,
"author_id": 1010371915799593100,
"author_name": "Xeloneir",
"timestamp": "12/30/2022 13:16:52",
"content": "i need to show steps or else i will get like 30-50% of the mark for that specific limit",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058449040225878100,
"author_id": 1010371915799593100,
"author_name": "Xeloneir",
"timestamp": "12/30/2022 13:18:36",
"content": "ik that ln x < x < e^x",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058449113194168400,
"author_id": 1010371915799593100,
"author_name": "Xeloneir",
"timestamp": "12/30/2022 13:18:53",
"content": "but i cant use that aparently",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058449167862734800,
"author_id": 1010371915799593100,
"author_name": "Xeloneir",
"timestamp": "12/30/2022 13:19:06",
"content": "i can only use it to \"predict \" the awnser",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058450229042622500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/30/2022 13:23:19",
"content": "Hm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058450591845716100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/30/2022 13:24:46",
"content": "Here's why I literally erased low order terms",
"attachments": [
{
"id": 1058450591627620500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058450591627620464/IMG_8670.png",
"fileName": "IMG_8670.png",
"fileSizeBytes": 459256
}
],
"mentions": [],
"reference": null
},
{
"id": 1058450931877945500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/30/2022 13:26:07",
"content": "xe^(-x) is asymptotic to y = 0 as x -> inf",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058452943889768400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 13:34:06",
"content": "@Xeloneir Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 1010371915799593100,
"name": "Xeloneir",
"discriminator": "5058",
"nickname": "Xeloneir",
"isBot": false
}
],
"reference": null
},
{
"id": 1058453158680068400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 13:34:58",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
c16d781938d34ebb9baa6146a631ebb6
|
200,435 |
[
{
"id": 1058453411873439900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 13:35:58",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058455053456916600,
"author_id": 767169329983782900,
"author_name": "Melos",
"timestamp": "12/30/2022 13:42:29",
"content": "Is there a site for calculating limit step by step?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058455055826682000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 13:42:30",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058455053456916600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058455728572072100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/30/2022 13:45:10",
"content": "I guess Wolfram if you pay",
"attachments": [],
"mentions": [
{
"id": 767169329983782900,
"name": "Melos",
"discriminator": "0664",
"nickname": "Melos",
"isBot": false
}
],
"reference": null
},
{
"id": 1058456185075941400,
"author_id": 767169329983782900,
"author_name": "Melos",
"timestamp": "12/30/2022 13:46:59",
"content": "I can't + I found emathhelp Is it good?",
"attachments": [],
"mentions": [
{
"id": 261933205387477000,
"name": "riemann",
"discriminator": "2529",
"nickname": "riemann",
"isBot": false
}
],
"reference": null
},
{
"id": 1058456419470430300,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "12/30/2022 13:47:55",
"content": "Maple calculator shows steps for 2 questions in 24 hrs for free",
"attachments": [],
"mentions": [
{
"id": 767169329983782900,
"name": "Melos",
"discriminator": "0664",
"nickname": "Melos",
"isBot": false
}
],
"reference": null
},
{
"id": 1058456804532686800,
"author_id": 767169329983782900,
"author_name": "Melos",
"timestamp": "12/30/2022 13:49:27",
"content": "There is a competition to solve a mathematical problem in the least possible time, so I need the result quickly🥹",
"attachments": [],
"mentions": [
{
"id": 489120531186974700,
"name": "idontsleepanymore",
"discriminator": "8460",
"nickname": "idontsleepanymore",
"isBot": false
}
],
"reference": null
},
{
"id": 1058456845041287300,
"author_id": 767169329983782900,
"author_name": "Melos",
"timestamp": "12/30/2022 13:49:37",
"content": "after 10min",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058457440573722800,
"author_id": 767169329983782900,
"author_name": "Melos",
"timestamp": "12/30/2022 13:51:59",
"content": "I also have another question. If the function is like this, when I want to calculate its derivative, do I remove the absolute value and calculate the normal value inside the absolute value?",
"attachments": [
{
"id": 1058457440288514000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058457440288514088/Capture.PNG",
"fileName": "Capture.PNG",
"fileSizeBytes": 1683
}
],
"mentions": [],
"reference": null
},
{
"id": 1058457888454090900,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "12/30/2022 13:53:45",
"content": "and you plan on cheating :thonk:",
"attachments": [],
"mentions": [
{
"id": 767169329983782900,
"name": "Melos",
"discriminator": "0664",
"nickname": "Melos",
"isBot": false
}
],
"reference": null
},
{
"id": 1058458124769579100,
"author_id": 451788163153920000,
"author_name": "3.141593",
"timestamp": "12/30/2022 13:54:42",
"content": "yh but u gotta check when the thing inside becomes negative tho",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058458262850257000,
"author_id": 767169329983782900,
"author_name": "Melos",
"timestamp": "12/30/2022 13:55:15",
"content": "Nah, I can apply the HOSPITAL property so I can calculate the result quickly, but it is not determined according to our level, so calculating the result using traditional methods may take time, especially if the function is very difficult",
"attachments": [],
"mentions": [
{
"id": 394938706760302600,
"name": "heavy",
"discriminator": "0201",
"nickname": "heavy",
"isBot": false
}
],
"reference": null
},
{
"id": 1058458716036407400,
"author_id": 767169329983782900,
"author_name": "Melos",
"timestamp": "12/30/2022 13:57:03",
"content": "Does that mean, do I calculate the derivative of this function?",
"attachments": [
{
"id": 1058458715730231300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058458715730231306/Capture.PNG",
"fileName": "Capture.PNG",
"fileSizeBytes": 2396
}
],
"mentions": [
{
"id": 451788163153920000,
"name": "3.141593",
"discriminator": "3150",
"nickname": "3.141593",
"isBot": false
}
],
"reference": null
},
{
"id": 1058458900699041900,
"author_id": 767169329983782900,
"author_name": "Melos",
"timestamp": "12/30/2022 13:57:47",
"content": "or this, or both functions ?",
"attachments": [
{
"id": 1058458900380266500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058458900380266506/Capture.PNG",
"fileName": "Capture.PNG",
"fileSizeBytes": 1721
}
],
"mentions": [],
"reference": null
},
{
"id": 1058459133990420500,
"author_id": 451788163153920000,
"author_name": "3.141593",
"timestamp": "12/30/2022 13:58:42",
"content": "ln is not even defined for when it is negative so",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058459174608048300,
"author_id": 451788163153920000,
"author_name": "3.141593",
"timestamp": "12/30/2022 13:58:52",
"content": "just the first one",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058459213787041900,
"author_id": 767169329983782900,
"author_name": "Melos",
"timestamp": "12/30/2022 13:59:01",
"content": "yea",
"attachments": [],
"mentions": [
{
"id": 451788163153920000,
"name": "3.141593",
"discriminator": "3150",
"nickname": "3.141593",
"isBot": false
}
],
"reference": null
},
{
"id": 1058459306942545900,
"author_id": 767169329983782900,
"author_name": "Melos",
"timestamp": "12/30/2022 13:59:23",
"content": "but the second one is also positiove for 0<x<1",
"attachments": [],
"mentions": [
{
"id": 451788163153920000,
"name": "3.141593",
"discriminator": "3150",
"nickname": "3.141593",
"isBot": false
}
],
"reference": null
},
{
"id": 1058459456813416400,
"author_id": 451788163153920000,
"author_name": "3.141593",
"timestamp": "12/30/2022 13:59:59",
"content": "but it wont be affecting the absolute value tho",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058459492163014800,
"author_id": 451788163153920000,
"author_name": "3.141593",
"timestamp": "12/30/2022 14:00:08",
"content": "coz the first one is also positive in that case",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058459645670346900,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 14:00:44",
"content": "luckily enough for you ln|x| is differentiable with derivative 1/x so you dont even need to worry about the absolute value",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058459685281353900,
"author_id": 767169329983782900,
"author_name": "Melos",
"timestamp": "12/30/2022 14:00:54",
"content": "So when I want to calculate the derivative, I choose one of the two functions from the main function when removing its absolute value?",
"attachments": [],
"mentions": [
{
"id": 451788163153920000,
"name": "3.141593",
"discriminator": "3150",
"nickname": "3.141593",
"isBot": false
}
],
"reference": null
},
{
"id": 1058459791535657100,
"author_id": 767169329983782900,
"author_name": "Melos",
"timestamp": "12/30/2022 14:01:19",
"content": "So when I want to calculate the derivative, I choose one of the two functions from the main function when removing its absolute value?",
"attachments": [],
"mentions": [
{
"id": 118663865264242690,
"name": "夢雪",
"discriminator": "2250",
"nickname": "snow",
"isBot": false
}
],
"reference": null
},
{
"id": 1058459990312099800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "12/30/2022 14:02:06",
"content": "no you apply the chain rule",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058460249557827700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 14:03:08",
"content": "",
"attachments": [
{
"id": 1058460249360707600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058460249360707605/118663865264242688.png",
"fileName": "118663865264242688.png",
"fileSizeBytes": 27689
}
],
"mentions": [],
"reference": null
},
{
"id": 1058460381900710000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 14:03:40",
"content": "",
"attachments": [
{
"id": 1058460381598711900,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058460381598711878/118663865264242688.png",
"fileName": "118663865264242688.png",
"fileSizeBytes": 12001
}
],
"mentions": [],
"reference": null
},
{
"id": 1058463567432667100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 14:16:19",
"content": "@Melos Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 767169329983782900,
"name": "Melos",
"discriminator": "0664",
"nickname": "Melos",
"isBot": false
}
],
"reference": null
},
{
"id": 1058467346886434800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 14:31:20",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
1571c33ffac94a2db10dcaf14d99e0d8
|
200,436 |
[
{
"id": 1058467435793109100,
"author_id": 767169329983782900,
"author_name": "Melos",
"timestamp": "12/30/2022 14:31:42",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058467599329001600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 14:32:21",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058471643233661200,
"author_id": 453922139750531100,
"author_name": "GhostDestroyer",
"timestamp": "12/30/2022 14:48:25",
"content": "Hello\nI'm trying to find the time of free fall in gravitational field with given initial energy (v₀, D, M, m, G) and final distance-d",
"attachments": [
{
"id": 1058471642919076000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058471642919075940/IMG_20221230_204211.jpg",
"fileName": "IMG_20221230_204211.jpg",
"fileSizeBytes": 218075
}
],
"mentions": [],
"reference": null
},
{
"id": 1058471646396170500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 14:48:25",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058471643233661200,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058471782253875300,
"author_id": 453922139750531100,
"author_name": "GhostDestroyer",
"timestamp": "12/30/2022 14:48:58",
"content": "And I don't really know how to convert this sum into integral",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058473425955475500,
"author_id": 453922139750531100,
"author_name": "GhostDestroyer",
"timestamp": "12/30/2022 14:55:30",
"content": "Moreover I couldn't find any other method",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058474563719143400,
"author_id": 986731079673204700,
"author_name": "black_couscous",
"timestamp": "12/30/2022 15:00:01",
"content": "Try to factor by 1/n",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058474627573219500,
"author_id": 986731079673204700,
"author_name": "black_couscous",
"timestamp": "12/30/2022 15:00:16",
"content": "So that some k/n factors will emerge",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058474719575277700,
"author_id": 986731079673204700,
"author_name": "black_couscous",
"timestamp": "12/30/2022 15:00:38",
"content": "1/k I mean",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058474814442045600,
"author_id": 986731079673204700,
"author_name": "black_couscous",
"timestamp": "12/30/2022 15:01:01",
"content": "And n/k",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058474911473074200,
"author_id": 453922139750531100,
"author_name": "GhostDestroyer",
"timestamp": "12/30/2022 15:01:24",
"content": "So which one finally? xd",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058475133569859600,
"author_id": 986731079673204700,
"author_name": "black_couscous",
"timestamp": "12/30/2022 15:02:17",
"content": "Factor by 1/k in order to make some n/k appear",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058475186199986200,
"author_id": 986731079673204700,
"author_name": "black_couscous",
"timestamp": "12/30/2022 15:02:29",
"content": "Here you just have to factor by 1/k",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058475216499654700,
"author_id": 986731079673204700,
"author_name": "black_couscous",
"timestamp": "12/30/2022 15:02:37",
"content": "And you get a Rienman sum",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058475814892605400,
"author_id": 986731079673204700,
"author_name": "black_couscous",
"timestamp": "12/30/2022 15:04:59",
"content": "You get $\\int_{[0,1]} \\frac{D-d}{\\sqrt{v_{0}^{2}+ \\frac{2GM}{D} \\cdot \\frac{D-d}{D(\\frac{1}{x}-1)+d}}} \\mathrm{d}x$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058476972608590000,
"author_id": 453922139750531100,
"author_name": "GhostDestroyer",
"timestamp": "12/30/2022 15:09:35",
"content": "I've got $\\frac{1}{k} \\cdot \\frac{D-d}{\\sqrt{v{0}^{2}+ \\frac{2GM}{D} \\cdot \\frac{D-d}{D(\\frac{k}{n} -1)+d}}}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058477075134173300,
"author_id": 986731079673204700,
"author_name": "black_couscous",
"timestamp": "12/30/2022 15:10:00",
"content": "Put $$ in your expression",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058477150661005400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 15:10:18",
"content": "**GhostDestroyer**",
"attachments": [
{
"id": 1058477150476443600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058477150476443648/453922139750531075.png",
"fileName": "453922139750531075.png",
"fileSizeBytes": 19292
}
],
"mentions": [],
"reference": null
},
{
"id": 1058477232319909900,
"author_id": 986731079673204700,
"author_name": "black_couscous",
"timestamp": "12/30/2022 15:10:37",
"content": "Yes exactly",
"attachments": [],
"mentions": [
{
"id": 510789298321096700,
"name": "TeXit",
"discriminator": "0796",
"nickname": "TeXit",
"isBot": true
}
],
"reference": null
},
{
"id": 1058477457998614700,
"author_id": 986731079673204700,
"author_name": "black_couscous",
"timestamp": "12/30/2022 15:11:31",
"content": "When k goes to infinity it leads to this (except the x is a 1/x sorry)",
"attachments": [],
"mentions": [
{
"id": 510789298321096700,
"name": "TeXit",
"discriminator": "0796",
"nickname": "TeXit",
"isBot": true
}
],
"reference": null
},
{
"id": 1058477580501647400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 15:12:00",
"content": "**black\\_couscous**",
"attachments": [
{
"id": 1058477580405182500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058477580405182514/986731079673204736.png",
"fileName": "986731079673204736.png",
"fileSizeBytes": 22172
}
],
"mentions": [],
"reference": null
},
{
"id": 1058479357892509700,
"author_id": 453922139750531100,
"author_name": "GhostDestroyer",
"timestamp": "12/30/2022 15:19:04",
"content": "Sorry but I'm not really sure why 1/k disappears and dx shows up",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058479612688081000,
"author_id": 453922139750531100,
"author_name": "GhostDestroyer",
"timestamp": "12/30/2022 15:20:05",
"content": "I did Riemann sum like 10 months ago and I understand it but don't remember formulas",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058483388987740300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 15:35:05",
"content": "@GhostDestroyer Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 453922139750531100,
"name": "GhostDestroyer",
"discriminator": "5665",
"nickname": "GhostDestroyer",
"isBot": false
}
],
"reference": null
},
{
"id": 1058487165757173900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 15:50:06",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
947f9edd92bd43d3a0542c4bef960144
|
200,437 |
[
{
"id": 1058487417994219500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 15:51:06",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058493672070582300,
"author_id": 466621653514846200,
"author_name": "sauxing",
"timestamp": "12/30/2022 16:15:57",
"content": "",
"attachments": [
{
"id": 1058493671542108300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058493671542108300/23D917FE-9E85-4F47-8249-D343050BED9F.jpg",
"fileName": "23D917FE-9E85-4F47-8249-D343050BED9F.jpg",
"fileSizeBytes": 4009309
}
],
"mentions": [],
"reference": null
},
{
"id": 1058493675526688800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 16:15:58",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058493672070582300,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058493872461848600,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:16:45",
"content": "What negative?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058493963507597400,
"author_id": 466621653514846200,
"author_name": "sauxing",
"timestamp": "12/30/2022 16:17:06",
"content": "after x squared",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494023767167000,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:17:21",
"content": "Seriously man",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494027026157600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "12/30/2022 16:17:21",
"content": "Recall the discriminant",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494065164951700,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:17:31",
"content": "Yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494083506639000,
"author_id": 466621653514846200,
"author_name": "sauxing",
"timestamp": "12/30/2022 16:17:35",
"content": "b squared - 4 ac",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494104268456100,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:17:40",
"content": "Hmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494139978752000,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:17:48",
"content": "Even if the b is negative",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494177006080100,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:17:57",
"content": "Its squared would be positive",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494251681460400,
"author_id": 466621653514846200,
"author_name": "sauxing",
"timestamp": "12/30/2022 16:18:15",
"content": "but you do powers first",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494267355562100,
"author_id": 466621653514846200,
"author_name": "sauxing",
"timestamp": "12/30/2022 16:18:19",
"content": "then the negative",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494313316749400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "12/30/2022 16:18:30",
"content": "And if you wrote that with the proper amount of parentheses, it's $(-(2k+3))^2$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494348255318100,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:18:38",
"content": "Hmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494353393324200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 16:18:39",
"content": "**dldh06**",
"attachments": [
{
"id": 1058494353120710800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058494353120710736/485903210272391178.png",
"fileName": "485903210272391178.png",
"fileSizeBytes": 24426
}
],
"mentions": [],
"reference": null
},
{
"id": 1058494449208004600,
"author_id": 466621653514846200,
"author_name": "sauxing",
"timestamp": "12/30/2022 16:19:02",
"content": "i just copied it out of the book",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494529877053400,
"author_id": 466621653514846200,
"author_name": "sauxing",
"timestamp": "12/30/2022 16:19:21",
"content": "so should i just ignore the negative",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494547472167000,
"author_id": 466621653514846200,
"author_name": "sauxing",
"timestamp": "12/30/2022 16:19:25",
"content": "im not really sure why",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494603436761100,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "12/30/2022 16:19:39",
"content": "Well $(-(2k+3))^2 \\neq -(2k+3)^2$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494612228014200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 16:19:41",
"content": "**dldh06**",
"attachments": [
{
"id": 1058494612068651100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058494612068651139/485903210272391178.png",
"fileName": "485903210272391178.png",
"fileSizeBytes": 10521
}
],
"mentions": [],
"reference": null
},
{
"id": 1058494662026997800,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:19:53",
"content": "Hmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494681274662900,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:19:57",
"content": "And",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494803437957100,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "12/30/2022 16:20:27",
"content": "And the other fact is if you square a negative, it turns positive",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494820332601300,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:20:31",
"content": "(2k+3)^2 = (-(2k+3))^2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494898929664100,
"author_id": 466621653514846200,
"author_name": "sauxing",
"timestamp": "12/30/2022 16:20:49",
"content": "but isnt the - like saying *-1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494954848141300,
"author_id": 466621653514846200,
"author_name": "sauxing",
"timestamp": "12/30/2022 16:21:03",
"content": "and you do the powers first, then multiply",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494958157451400,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:21:03",
"content": "Do you know the power rule",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494969414942800,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:21:06",
"content": "?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058494972933968000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "12/30/2022 16:21:07",
"content": "(-(2k+3))^2 = (-1 * (2k+3))^2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058495039283671200,
"author_id": 466621653514846200,
"author_name": "sauxing",
"timestamp": "12/30/2022 16:21:23",
"content": "BIDMAS/BODMAS",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058495121231986800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "12/30/2022 16:21:42",
"content": "That's order of operations, not the power rule for exponents",
"attachments": [],
"mentions": [
{
"id": 466621653514846200,
"name": "sauxing",
"discriminator": "9858",
"nickname": "sauxing",
"isBot": false
}
],
"reference": null
},
{
"id": 1058495157550448600,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:21:51",
"content": "(a×b)^n = a^n × b^n",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058495232397811800,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:22:09",
"content": "@sauxing are we clear till here?",
"attachments": [],
"mentions": [
{
"id": 466621653514846200,
"name": "sauxing",
"discriminator": "9858",
"nickname": "sauxing",
"isBot": false
}
],
"reference": null
},
{
"id": 1058495280498081900,
"author_id": 466621653514846200,
"author_name": "sauxing",
"timestamp": "12/30/2022 16:22:20",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058495345115533300,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:22:36",
"content": "Then",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058495424673108100,
"author_id": 466621653514846200,
"author_name": "sauxing",
"timestamp": "12/30/2022 16:22:55",
"content": "but is the x coefficient (2k+3) or -(2k+3)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058495476556628000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "12/30/2022 16:23:07",
"content": ".",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058495495359709200,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:23:11",
"content": "-(2k + 3)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058495590306160600,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:23:34",
"content": "If you square -(2k + 3)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058495664700534800,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:23:52",
"content": "(-1×(2k+3))^2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058495679724527700,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:23:55",
"content": "=",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058495804341506000,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:24:25",
"content": "(-1)² × (2k + 3)²",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058495893084573700,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:24:46",
"content": "And what is (-1)²",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058495898222600200,
"author_id": 466621653514846200,
"author_name": "sauxing",
"timestamp": "12/30/2022 16:24:48",
"content": "i think i sort of get it now",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058495901703868400,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:24:48",
"content": "?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058495925758206000,
"author_id": 466621653514846200,
"author_name": "sauxing",
"timestamp": "12/30/2022 16:24:54",
"content": "1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058495947606331500,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:24:59",
"content": "Hmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058495980267393200,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:25:07",
"content": "So our final product becomes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058496020960526500,
"author_id": 466621653514846200,
"author_name": "sauxing",
"timestamp": "12/30/2022 16:25:17",
"content": "(2k + 3)²",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058496044591227000,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:25:22",
"content": "Hmm right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058496076073676800,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:25:30",
"content": "Gr8",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058496112236974200,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:25:39",
"content": "You get it now I believe",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058496165030674400,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:25:51",
"content": "So we did not ignore the minus sign",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058496269078757400,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:26:16",
"content": "It just did not matter after squaring the coefficient",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058496299743318100,
"author_id": 466621653514846200,
"author_name": "sauxing",
"timestamp": "12/30/2022 16:26:23",
"content": "thanks i get it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058496329036341200,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:26:30",
"content": "Welcome",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058496407398514700,
"author_id": 835179842437513200,
"author_name": "Kshitiz",
"timestamp": "12/30/2022 16:26:49",
"content": "You can close the help if you think your doubt is resolved",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058496441586298900,
"author_id": 466621653514846200,
"author_name": "sauxing",
"timestamp": "12/30/2022 16:26:57",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058496444425834800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 16:26:58",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
3e4cfb1583d84decbab96c1fdd65b14e
|
200,438 |
[
{
"id": 1058496696843251800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 16:27:58",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058497040360947700,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 16:29:20",
"content": "Can you verify this proof please?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058497042311290900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 16:29:20",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058497040360947700,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058497060392947700,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 16:29:25",
"content": "$\\textbf{Prove that } \\mathbf{\\lim_{x \\to 3} x^2 = 9}$ \\\\\n\nFor every $\\epsilon > 0$, we need to prove that there exists a $\\delta > 0$ so that whenever $0 < |x - 3|< \\delta$ we have $|x^2 - 9| < \\epsilon$. \\\\\n\n$|x^2 - 9| = |x + 3||x - 3| < \\epsilon$, it follows that $|x + 3| < \\frac{\\epsilon}{|x - 3|}$. \\\\\n\nWe want to bound $|x - 3|$ so we bound $|x|$: $|x| < 1$. \\\\\n\nFrom $|x| < 1$ follows that $2 < |x - 3| < 4$, so $|x + 3| < \\frac{\\epsilon}{|x - 3|} < \\frac{\\epsilon}{4}$. \\\\\n\nWe want to make sure that both $|x + 3| < \\frac{\\epsilon}{4} \\leq \\delta$ and $2 < |x + 3| < 4 \\leq \\delta$ holds, so we pick $\\delta = \\max(\\frac{\\epsilon}{4}, 4) > 0$ for every $\\epsilon > 0$.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058497582915133600,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 16:31:29",
"content": "",
"attachments": [
{
"id": 1058497582730596500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058497582730596432/image.png",
"fileName": "image.png",
"fileSizeBytes": 76381
}
],
"mentions": [],
"reference": null
},
{
"id": 1058497854542450800,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 16:32:34",
"content": "The lecture notes I read used min() and they got some slightly different values, min(epsilon/7, 1)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058498039817441400,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/30/2022 16:33:18",
"content": "sure?",
"attachments": [
{
"id": 1058498039716774000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058498039716773960/Screenshot_2022-12-30_at_21.32.47.png",
"fileName": "Screenshot_2022-12-30_at_21.32.47.png",
"fileSizeBytes": 83328
}
],
"mentions": [],
"reference": null
},
{
"id": 1058498515501862900,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 16:35:12",
"content": "0 < |x| < 1, so 2 < |x - 3| < 4, right?",
"attachments": [],
"mentions": [
{
"id": 788085606483361800,
"name": "chartbit",
"discriminator": "3171",
"nickname": "chartbit",
"isBot": false
}
],
"reference": null
},
{
"id": 1058498768745537500,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 16:36:12",
"content": "Oh, |x - 3| <= |x| + 3 < 4, so the upper bound should be fine",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058498817185558800,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/30/2022 16:36:23",
"content": "My quote was more about what you did with the second circled taking the first",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058498924039635100,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 16:36:49",
"content": "Oh",
"attachments": [],
"mentions": [
{
"id": 788085606483361800,
"name": "chartbit",
"discriminator": "3171",
"nickname": "chartbit",
"isBot": false
}
],
"reference": null
},
{
"id": 1058498947494191100,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 16:36:55",
"content": "It should be > epsilon/4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058498968977424400,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 16:37:00",
"content": "Right?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058499014712115300,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 16:37:11",
"content": "Or < epsilon/2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058499034714746900,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/30/2022 16:37:15",
"content": "Yep and that doesn't help our case much",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058499076808769700,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 16:37:25",
"content": "< epsilon/2 does, right?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058499102712799400,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/30/2022 16:37:32",
"content": "Would be better to take that one instead",
"attachments": [],
"mentions": [
{
"id": 332561465405866000,
"name": "Kepe",
"discriminator": "5235",
"nickname": "Kepe",
"isBot": false
}
],
"reference": null
},
{
"id": 1058499122442809500,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 16:37:36",
"content": "Yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058499124674179200,
"author_id": 279350792371175420,
"author_name": "LayneTheAndroid",
"timestamp": "12/30/2022 16:37:37",
"content": "Couple of things\n\nOn the second line you assume |x^2-9|<epsilion but this is what you're trying to show\n\nAlso assuming |x|<1 isn't sensible if you're taking a limit as x->3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058499147092730000,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/30/2022 16:37:42",
"content": "(though I haven't verified your inequality tbh)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058499215711547400,
"author_id": 279350792371175420,
"author_name": "LayneTheAndroid",
"timestamp": "12/30/2022 16:37:58",
"content": "that's a much more fundamental problem with the proof than the inequality signs",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058499423350571100,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 16:38:48",
"content": "We need to show that there exists a delta for every epsilon",
"attachments": [],
"mentions": [
{
"id": 279350792371175420,
"name": "LayneTheAndroid",
"discriminator": "3521",
"nickname": "LayneTheAndroid",
"isBot": false
}
],
"reference": null
},
{
"id": 1058499490337796200,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 16:39:04",
"content": "So it's fine to start with the |x^2 - 9| < epsilon, no?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058499678431354900,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/30/2022 16:39:49",
"content": "Remember me and rbit's previous quotes in the last thread",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058499715781644400,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/30/2022 16:39:58",
"content": "Notably that you want to get closer to 3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058499842567057500,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/30/2022 16:40:28",
"content": "You can start with that, but you have to be careful with the steps you can make",
"attachments": [],
"mentions": [
{
"id": 332561465405866000,
"name": "Kepe",
"discriminator": "5235",
"nickname": "Kepe",
"isBot": false
}
],
"reference": null
},
{
"id": 1058499957964947500,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/30/2022 16:40:55",
"content": "(well, I add myself there, when I did virtually nothing :catGiggle:)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058500061367111700,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 16:41:20",
"content": "This is about |x| < 1 not being a valid assumption, right?",
"attachments": [],
"mentions": [
{
"id": 788085606483361800,
"name": "chartbit",
"discriminator": "3171",
"nickname": "chartbit",
"isBot": false
}
],
"reference": null
},
{
"id": 1058500273137528800,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/30/2022 16:42:11",
"content": "Yep - remember you wanted x close to 3, which is why the assumption rbit made with |x-3|<1 is fine",
"attachments": [],
"mentions": [
{
"id": 332561465405866000,
"name": "Kepe",
"discriminator": "5235",
"nickname": "Kepe",
"isBot": false
}
],
"reference": null
},
{
"id": 1058500403299369000,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 16:42:42",
"content": "So 2 < |x| < 4 would also be fine, right?",
"attachments": [],
"mentions": [
{
"id": 788085606483361800,
"name": "chartbit",
"discriminator": "3171",
"nickname": "chartbit",
"isBot": false
}
],
"reference": null
},
{
"id": 1058500737883189200,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/30/2022 16:44:01",
"content": "Give me a second",
"attachments": [],
"mentions": [
{
"id": 332561465405866000,
"name": "Kepe",
"discriminator": "5235",
"nickname": "Kepe",
"isBot": false
}
],
"reference": null
},
{
"id": 1058500779620708400,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/30/2022 16:44:11",
"content": "~~Actually no~~",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058500840853348400,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/30/2022 16:44:26",
"content": "~~As that would also include e.g. x=-3, which isn't ideal~~",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058501200821108700,
"author_id": 279350792371175420,
"author_name": "LayneTheAndroid",
"timestamp": "12/30/2022 16:45:52",
"content": "It is fine tbf. It doesn't matter if the assumption includes more cases than they're actually working with\n\ni.e you can pick a delta so that 2 < x < 4\n\nbut that's contained in the weaker assumption of picking a delta such that 2 < |x| < 4",
"attachments": [],
"mentions": [
{
"id": 788085606483361800,
"name": "chartbit",
"discriminator": "3171",
"nickname": "chartbit",
"isBot": false
}
],
"reference": null
},
{
"id": 1058501485643698200,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "12/30/2022 16:47:00",
"content": "Ah yeah, fair enough tbh - threw me off(!)",
"attachments": [],
"mentions": [
{
"id": 279350792371175420,
"name": "LayneTheAndroid",
"discriminator": "3521",
"nickname": "LayneTheAndroid",
"isBot": false
}
],
"reference": null
},
{
"id": 1058501515385512100,
"author_id": 279350792371175420,
"author_name": "LayneTheAndroid",
"timestamp": "12/30/2022 16:47:07",
"content": "yes, you can work backwards but be careful what you write. \n\nYou write $|x^2-9|<\\epsilon$ implies $|x+3|<\\frac{\\epsilon}{|x-3|}$\n\nbut that doesn't matter. What matters are implicants that lead to\n\n$|x^2-9|<\\epsilon$\n\nrather than away from it. \n\nSo what you really want to say is\n\n$|x-3|<\\frac{\\epsilon}{|x+3|}$ implies $|x^2-9|<\\epsilon$\n\nThen if you find a $\\delta$ for which $|x-3|<\\frac{\\epsilon}{|x+3|}$ is true (for all $|x-3|<\\delta)$, then you're done",
"attachments": [],
"mentions": [
{
"id": 332561465405866000,
"name": "Kepe",
"discriminator": "5235",
"nickname": "Kepe",
"isBot": false
}
],
"reference": null
},
{
"id": 1058502058161995800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 16:49:16",
"content": "**LayneTheAndroid**",
"attachments": [
{
"id": 1058502058124255200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058502058124255282/279350792371175434.png",
"fileName": "279350792371175434.png",
"fileSizeBytes": 117921
}
],
"mentions": [],
"reference": null
},
{
"id": 1058503088983527600,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 16:53:22",
"content": "If we already start with $|x^2 - 9| < \\epsilon$, from that follows that $|x + 3| < \\frac{\\epsilon}{|x - 3|}$. Establishing that allows further specifying $\\delta$.\n\nHow would you write that from $|x^2 - 9|$ follows that $|x + 3| < \\frac{\\epsilon}{|x-3|}$? I didn't write \"imply\" but that should also be correct?",
"attachments": [],
"mentions": [
{
"id": 510789298321096700,
"name": "TeXit",
"discriminator": "0796",
"nickname": "TeXit",
"isBot": true
}
],
"reference": null
},
{
"id": 1058503194092773500,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 16:53:47",
"content": "",
"attachments": [
{
"id": 1058503193895645300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058503193895645345/image.png",
"fileName": "image.png",
"fileSizeBytes": 77307
}
],
"mentions": [],
"reference": null
},
{
"id": 1058504626380472400,
"author_id": 279350792371175420,
"author_name": "LayneTheAndroid",
"timestamp": "12/30/2022 16:59:28",
"content": "Not actually sure what you're asking ... I think we might be going for different strategies to prove this\n\nAlso it's not so helpful to have $|x+3|<\\frac{\\epsilon}{|x-3|}$\n\nGiven a fixed epsilon, you're allowing $x$ to be arbitrarily close to 3. That means the right hand side is unbounded,\n\ni.e I could take $x=3+0.0001$ or 3+0.00000001 or whatever, so this doesn't tell you anything useful about $|x|$\n\nIt's more useful to show that $|x-3|<$(something dependent on epsilon) will imply $|x^2-9|<\\epsilon$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058505034222022800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/30/2022 17:01:06",
"content": "**LayneTheAndroid**",
"attachments": [
{
"id": 1058505034016510000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058505034016509982/279350792371175434.png",
"fileName": "279350792371175434.png",
"fileSizeBytes": 137806
}
],
"mentions": [],
"reference": null
},
{
"id": 1058505317631148000,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 17:02:13",
"content": "We bound $|x|: 2 < |x| < 4$, so $|x + 3| < \\frac{\\epsilon}{|x - 3|} < \\frac{\\epsilon}{1} = \\epsilon$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058505353119150200,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 17:02:22",
"content": "",
"attachments": [
{
"id": 1058505352938799200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058505352938799185/image.png",
"fileName": "image.png",
"fileSizeBytes": 19010
}
],
"mentions": [],
"reference": null
},
{
"id": 1058505593339527300,
"author_id": 279350792371175420,
"author_name": "LayneTheAndroid",
"timestamp": "12/30/2022 17:03:19",
"content": "why is |x-3|>1?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058505674495111300,
"author_id": 279350792371175420,
"author_name": "LayneTheAndroid",
"timestamp": "12/30/2022 17:03:38",
"content": "(it's very helpful to draw pictures for these kinds of proofs)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058506152511537200,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 17:05:32",
"content": "$2 < |x| < 4$, you get the smallest value of $|x - 3|$ by using $x = 2$ or $x = 4$",
"attachments": [],
"mentions": [
{
"id": 279350792371175420,
"name": "LayneTheAndroid",
"discriminator": "3521",
"nickname": "LayneTheAndroid",
"isBot": false
}
],
"reference": null
},
{
"id": 1058506184044335100,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 17:05:40",
"content": "",
"attachments": [
{
"id": 1058506183847198800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058506183847198791/image.png",
"fileName": "image.png",
"fileSizeBytes": 21679
}
],
"mentions": [],
"reference": null
},
{
"id": 1058506356434407600,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 17:06:21",
"content": "$2 < |x - 3| < 4$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058506386788602000,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 17:06:28",
"content": "",
"attachments": [
{
"id": 1058506386968953000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058506386968952942/image.png",
"fileName": "image.png",
"fileSizeBytes": 8976
}
],
"mentions": [],
"reference": null
},
{
"id": 1058506956714807300,
"author_id": 279350792371175420,
"author_name": "LayneTheAndroid",
"timestamp": "12/30/2022 17:08:44",
"content": "but the assumption 2 < |x| < 4 was discarded because you can't assuming |x|<1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058506972967739400,
"author_id": 279350792371175420,
"author_name": "LayneTheAndroid",
"timestamp": "12/30/2022 17:08:48",
"content": "",
"attachments": [
{
"id": 1058506972682522800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058506972682522695/4RC8RPMHSXobrrTZw1FReSOSotgJrKzsl10On5EK3H5Tg2TG2EEOISXKNEEJcgqmNEEJcgqmNEEJcgqmNEELc4eLyfwvpmsoXIoiTAAAAAElFTkSuQmCC.png",
"fileName": "4RC8RPMHSXobrrTZw1FReSOSotgJrKzsl10On5EK3H5Tg2TG2EEOISXKNEEJcgqmNEEJcgqmNEEJcgqmNEELc4eLyfwvpmsoXIoiTAAAAAElFTkSuQmCC.png",
"fileSizeBytes": 30556
}
],
"mentions": [],
"reference": null
},
{
"id": 1058506995633750000,
"author_id": 279350792371175420,
"author_name": "LayneTheAndroid",
"timestamp": "12/30/2022 17:08:53",
"content": "",
"attachments": [
{
"id": 1058506995365322800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058506995365322804/wcUKU7beKU7sQAAAABJRU5ErkJggg.png",
"fileName": "wcUKU7beKU7sQAAAABJRU5ErkJggg.png",
"fileSizeBytes": 32122
}
],
"mentions": [],
"reference": null
},
{
"id": 1058507032476532900,
"author_id": 279350792371175420,
"author_name": "LayneTheAndroid",
"timestamp": "12/30/2022 17:09:02",
"content": "",
"attachments": [
{
"id": 1058507032589774800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058507032589774868/gfzkZXG7xNOpAAAAABJRU5ErkJggg.png",
"fileName": "gfzkZXG7xNOpAAAAABJRU5ErkJggg.png",
"fileSizeBytes": 43423
}
],
"mentions": [],
"reference": null
},
{
"id": 1058507053011828900,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 17:09:07",
"content": "2 < |x| < 4 is the new assumption",
"attachments": [],
"mentions": [
{
"id": 279350792371175420,
"name": "LayneTheAndroid",
"discriminator": "3521",
"nickname": "LayneTheAndroid",
"isBot": false
}
],
"reference": null
},
{
"id": 1058507142560219100,
"author_id": 279350792371175420,
"author_name": "LayneTheAndroid",
"timestamp": "12/30/2022 17:09:28",
"content": "sorry I misread",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058507145643049000,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 17:09:29",
"content": "|x| < 1 was the old one",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058507177129693200,
"author_id": 279350792371175420,
"author_name": "LayneTheAndroid",
"timestamp": "12/30/2022 17:09:37",
"content": "but this is definitely wrong then",
"attachments": [],
"mentions": [
{
"id": 332561465405866000,
"name": "Kepe",
"discriminator": "5235",
"nickname": "Kepe",
"isBot": false
}
],
"reference": null
},
{
"id": 1058507269492453400,
"author_id": 279350792371175420,
"author_name": "LayneTheAndroid",
"timestamp": "12/30/2022 17:09:59",
"content": "if 2 < |x| < 4 x can be 3, right?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058507314606379000,
"author_id": 279350792371175420,
"author_name": "LayneTheAndroid",
"timestamp": "12/30/2022 17:10:09",
"content": "there |x-3| can be 0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058507412337856500,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 17:10:33",
"content": "oh, right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058507514636935200,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 17:10:57",
"content": "The upper bound is correct, |x - 3| <= |x| + 3 < 4, so |x - 3| < 4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058507533599379500,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 17:11:02",
"content": "The lower bound should be 0 then",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058507562774954000,
"author_id": 279350792371175420,
"author_name": "LayneTheAndroid",
"timestamp": "12/30/2022 17:11:09",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058507583146696700,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 17:11:13",
"content": "Thank you!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058507665719963600,
"author_id": 279350792371175420,
"author_name": "LayneTheAndroid",
"timestamp": "12/30/2022 17:11:33",
"content": "but that's not so useful unfortunately. because we get to choose how small |x-3| is by picking delta anyway",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058507769197641900,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 17:11:58",
"content": "yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058507894460526600,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 17:12:28",
"content": "my questions seem to be resolved for now, thank you and everyone else for the help!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058507902375166100,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "12/30/2022 17:12:30",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058507905164382300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 17:12:30",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
9531ce69acbd4fa0a38806b268512845
|
200,439 |
[
{
"id": 1058604889879621800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 23:37:53",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058605537786335400,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "12/30/2022 23:40:28",
"content": "Can anyone explain what and how did they find the x and y coordinates here, i am aware of the mistake in the final step 2>a+1>3===> 1>a>2",
"attachments": [
{
"id": 1058605537631150100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058605537631150120/20221230_131225.jpg",
"fileName": "20221230_131225.jpg",
"fileSizeBytes": 238793
}
],
"mentions": [],
"reference": null
},
{
"id": 1058605540567162900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 23:40:28",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058605537786335400,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058605615762653300,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "12/30/2022 23:40:46",
"content": "But i do not understand how did they find x and y coordinates",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058605785384489000,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "12/30/2022 23:41:27",
"content": "That is point P",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058606474965811300,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "12/30/2022 23:44:11",
"content": "And Q",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058607609818648700,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/30/2022 23:48:42",
"content": "CP = 2 units",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058607625895432300,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/30/2022 23:48:45",
"content": "OC = 1 unit",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058607662457159800,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/30/2022 23:48:54",
"content": "drop a perpendicular from P to the xaxis",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058607714319741000,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/30/2022 23:49:07",
"content": "call its foot R",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058607758389301200,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/30/2022 23:49:17",
"content": "then CR = CP*cos60 = 2cos60",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058607849929986000,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/30/2022 23:49:39",
"content": "so OR = OC + CR = 1 + 2cos60",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058607889050255500,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/30/2022 23:49:48",
"content": "but OR is the xcoordinate of P",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058607951713161200,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/30/2022 23:50:03",
"content": "that way u have the x coordinate of P",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058608025650348000,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/30/2022 23:50:21",
"content": "RP = CP*sin60 = 2sin60, and RP is the y coordiante of P",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058608046017888400,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/30/2022 23:50:26",
"content": "similarly for Q",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058608128360456200,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "12/30/2022 23:50:45",
"content": "But how did they form an equation y=root3(x-1)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058608398960185300,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "12/30/2022 23:51:50",
"content": "And what is the logic behind forming that eq",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058608428735529000,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/30/2022 23:51:57",
"content": "so the point u r looking at is (a+1, aroot3), so x=a+1, y=aroot3\nthis means a = x-1, so y = aroot3 = (x-1)*root3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058608443117813900,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/30/2022 23:52:00",
"content": "for any value of a",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058608461887307800,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/30/2022 23:52:05",
"content": "the x and y values are related by",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058608492203749500,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/30/2022 23:52:12",
"content": "y = root3(x-1)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058608508901269500,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/30/2022 23:52:16",
"content": "so the point lies on that line",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058608691051499600,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/30/2022 23:52:59",
"content": "a+1,aroot3 give coordinates of a point in terms of a parameter a",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058608709401579600,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/30/2022 23:53:04",
"content": "u can find its locus",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058608726250115200,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/30/2022 23:53:08",
"content": "by eliminating a",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058608808571715600,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "12/30/2022 23:53:27",
"content": "I see",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058608898556305400,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "12/30/2022 23:53:49",
"content": "It satisfies this equation tho hmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058608999769063400,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "12/30/2022 23:54:13",
"content": "So we found an equation of a line that passes through the given point",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058609063530856400,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "12/30/2022 23:54:28",
"content": "The variable point to be precise",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058609164001214600,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "12/30/2022 23:54:52",
"content": "Then we fount the intersection",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058609187850039300,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "12/30/2022 23:54:58",
"content": "With the circles",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058609268481339400,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/30/2022 23:55:17",
"content": "yeah but i would rather way we found the locus of the variable point",
"attachments": [],
"mentions": [
{
"id": 994286722357674100,
"name": "Twerkingbee",
"discriminator": "7740",
"nickname": "Twerkingbee",
"isBot": false
}
],
"reference": null
},
{
"id": 1058609359959097500,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/30/2022 23:55:39",
"content": "yes",
"attachments": [],
"mentions": [
{
"id": 994286722357674100,
"name": "Twerkingbee",
"discriminator": "7740",
"nickname": "Twerkingbee",
"isBot": false
}
],
"reference": null
},
{
"id": 1058609362333073500,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "12/30/2022 23:55:39",
"content": "And then we restricted the coordinates according to the intersection",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058609454955896800,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "12/30/2022 23:56:02",
"content": "Gottt ittt thanks!!!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058609509574131700,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "12/30/2022 23:56:15",
"content": ":catlove:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058609561516396500,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "12/30/2022 23:56:27",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058609564511121500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 23:56:28",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
7de2047837d14f93a26c606dc4296ba7
|
200,440 |
[
{
"id": 1058609816181948500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/30/2022 23:57:28",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058624268465877100,
"author_id": 482756098592604160,
"author_name": "I smell like parchment",
"timestamp": "12/31/2022 00:54:53",
"content": "The average human eye blink takes 350000 microseconds. How many times can the average person blink consecutively, at this rate, in 1 minute?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058624270718226600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 00:54:54",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058624268465877100,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058624598696013800,
"author_id": 482756098592604160,
"author_name": "I smell like parchment",
"timestamp": "12/31/2022 00:56:12",
"content": "So microseconds to seconds would be 10^-6?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058625161928114200,
"author_id": 482756098592604160,
"author_name": "I smell like parchment",
"timestamp": "12/31/2022 00:58:26",
"content": "Answer is 171 human eye blinks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058628110196674600,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "12/31/2022 01:10:09",
"content": "60s/.35s= 171.42 eyeblinks but since practically we can't blink eye for 171.42 times , the answer will be 171",
"attachments": [],
"mentions": [
{
"id": 482756098592604160,
"name": "I smell like parchment",
"discriminator": "8344",
"nickname": "I smell like parchment",
"isBot": false
}
],
"reference": null
},
{
"id": 1058628855935549600,
"author_id": 482756098592604160,
"author_name": "I smell like parchment",
"timestamp": "12/31/2022 01:13:07",
"content": "thx",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058628870531715100,
"author_id": 482756098592604160,
"author_name": "I smell like parchment",
"timestamp": "12/31/2022 01:13:11",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058628873467740300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 01:13:11",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
1cc74996dcba4561ae0815bf7bf1e590
|
200,441 |
[
{
"id": 1058629126480744600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 01:14:12",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058639220815700000,
"author_id": 140982764924174340,
"author_name": "doomfletcherpoe",
"timestamp": "12/31/2022 01:54:18",
"content": "",
"attachments": [
{
"id": 1058639220413038600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058639220413038622/image.png",
"fileName": "image.png",
"fileSizeBytes": 65553
}
],
"mentions": [],
"reference": null
},
{
"id": 1058639225265860600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 01:54:19",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058639220815700000,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058639330316386300,
"author_id": 140982764924174340,
"author_name": "doomfletcherpoe",
"timestamp": "12/31/2022 01:54:44",
"content": "Does anyone know how the last two steps here work?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058639511841685600,
"author_id": 140982764924174340,
"author_name": "doomfletcherpoe",
"timestamp": "12/31/2022 01:55:28",
"content": "I followed up to this point however, I am not sure how he converts the summation to the convolution in terms of k.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058643287969366100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 02:10:28",
"content": "@doomfletcherpoe Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 140982764924174340,
"name": "doomfletcherpoe",
"discriminator": "4586",
"nickname": "doomfletcherpoe",
"isBot": false
}
],
"reference": null
},
{
"id": 1058643747073704000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/31/2022 02:12:17",
"content": "It's notation for convolution of sequences",
"attachments": [],
"mentions": [
{
"id": 140982764924174340,
"name": "doomfletcherpoe",
"discriminator": "4586",
"nickname": "doomfletcherpoe",
"isBot": false
}
],
"reference": null
},
{
"id": 1058643862278639700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/31/2022 02:12:45",
"content": "Defined in the very first line of the image",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058645040332816400,
"author_id": 140982764924174340,
"author_name": "doomfletcherpoe",
"timestamp": "12/31/2022 02:17:26",
"content": "Right but he has y[m]x[-(k-m)] how is that equivalent to the notation above?",
"attachments": [],
"mentions": [
{
"id": 261933205387477000,
"name": "riemann",
"discriminator": "2529",
"nickname": "riemann",
"isBot": false
}
],
"reference": null
},
{
"id": 1058645246826790900,
"author_id": 140982764924174340,
"author_name": "doomfletcherpoe",
"timestamp": "12/31/2022 02:18:15",
"content": "This is the full answer : https://qr.ae/prvs8G",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058645730853662800,
"author_id": 140982764924174340,
"author_name": "doomfletcherpoe",
"timestamp": "12/31/2022 02:20:10",
"content": "He is trying to change variables such that he gets the correlation (a function of k) is in terms of the convulution (a function of n)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058647876793815000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/31/2022 02:28:42",
"content": "Write down the summation for y[k] * x[-k]",
"attachments": [],
"mentions": [
{
"id": 140982764924174340,
"name": "doomfletcherpoe",
"discriminator": "4586",
"nickname": "doomfletcherpoe",
"isBot": false
}
],
"reference": null
},
{
"id": 1058648927089467400,
"author_id": 140982764924174340,
"author_name": "doomfletcherpoe",
"timestamp": "12/31/2022 02:32:52",
"content": "His notation : x[n] * y[n] = sum( x[k] y[n-k] )\n\nUsing his notation (y[k] * x[-k]) = sum ( y[k] x[-n-k] )",
"attachments": [],
"mentions": [
{
"id": 261933205387477000,
"name": "riemann",
"discriminator": "2529",
"nickname": "riemann",
"isBot": false
}
],
"reference": null
},
{
"id": 1058649547150209000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/31/2022 02:35:20",
"content": "Nope",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058649570424393900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/31/2022 02:35:26",
"content": "Distribute the minus sign",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058650096255909900,
"author_id": 140982764924174340,
"author_name": "doomfletcherpoe",
"timestamp": "12/31/2022 02:37:31",
"content": "His notation : x[n] * y[n] = sum( x[k] y[n-k] )\n\nUsing his notation (y[k] * x[-k]) = sum ( y[k] x[-(n-k)] )",
"attachments": [],
"mentions": [
{
"id": 261933205387477000,
"name": "riemann",
"discriminator": "2529",
"nickname": "riemann",
"isBot": false
}
],
"reference": null
},
{
"id": 1058651496490741800,
"author_id": 140982764924174340,
"author_name": "doomfletcherpoe",
"timestamp": "12/31/2022 02:43:05",
"content": "This is a bit confusing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058651780684206200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/31/2022 02:44:13",
"content": "Try again",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058652555242127400,
"author_id": 140982764924174340,
"author_name": "doomfletcherpoe",
"timestamp": "12/31/2022 02:47:17",
"content": "x[n] * y[n] = sum ( x[k] y[n-k] )\ny[k] * x[-k] = sum ( y[k] x[k-n] )",
"attachments": [],
"mentions": [
{
"id": 261933205387477000,
"name": "riemann",
"discriminator": "2529",
"nickname": "riemann",
"isBot": false
}
],
"reference": null
},
{
"id": 1058654483313328300,
"author_id": 140982764924174340,
"author_name": "doomfletcherpoe",
"timestamp": "12/31/2022 02:54:57",
"content": "I think just I get what you mean and what I pondered on the whiteboard for the last hour",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058654709302427600,
"author_id": 140982764924174340,
"author_name": "doomfletcherpoe",
"timestamp": "12/31/2022 02:55:51",
"content": "y(m)x(-(k-m) ---> x(k)y(-(k-n))",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058655425177850000,
"author_id": 140982764924174340,
"author_name": "doomfletcherpoe",
"timestamp": "12/31/2022 02:58:42",
"content": "but wait his sum is over m so wouldn't that mean the notation is y(m) * x (-m)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058655463027257300,
"author_id": 140982764924174340,
"author_name": "doomfletcherpoe",
"timestamp": "12/31/2022 02:58:51",
"content": "if were matching notation?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058655626835808400,
"author_id": 140982764924174340,
"author_name": "doomfletcherpoe",
"timestamp": "12/31/2022 02:59:30",
"content": "Would you mind just clarifying the solution? I am going in circles.",
"attachments": [],
"mentions": [
{
"id": 261933205387477000,
"name": "riemann",
"discriminator": "2529",
"nickname": "riemann",
"isBot": false
}
],
"reference": null
},
{
"id": 1058657432735322100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/31/2022 03:06:40",
"content": "The sum over m is not the same index as the convolution",
"attachments": [],
"mentions": [
{
"id": 140982764924174340,
"name": "doomfletcherpoe",
"discriminator": "4586",
"nickname": "doomfletcherpoe",
"isBot": false
}
],
"reference": null
},
{
"id": 1058657522640244900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/31/2022 03:07:02",
"content": "Read the first line again",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058657584367800300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/31/2022 03:07:17",
"content": "There's no k dependence on the left side",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058657739599003800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/31/2022 03:07:54",
"content": "Other than distributing the minus sign, I don't know what else there is to clarify",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058657839217918100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/31/2022 03:08:17",
"content": "k maps to k-m in the sum",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058657880833794200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "12/31/2022 03:08:27",
"content": "So -k maps to -(k-m)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058663177237311500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 03:29:30",
"content": "@doomfletcherpoe Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 140982764924174340,
"name": "doomfletcherpoe",
"discriminator": "4586",
"nickname": "doomfletcherpoe",
"isBot": false
}
],
"reference": null
},
{
"id": 1058669429011009500,
"author_id": 140982764924174340,
"author_name": "doomfletcherpoe",
"timestamp": "12/31/2022 03:54:21",
"content": "I guess I didn't read that carefully enough",
"attachments": [],
"mentions": [
{
"id": 261933205387477000,
"name": "riemann",
"discriminator": "2529",
"nickname": "riemann",
"isBot": false
}
],
"reference": null
},
{
"id": 1058669692698492900,
"author_id": 140982764924174340,
"author_name": "doomfletcherpoe",
"timestamp": "12/31/2022 03:55:23",
"content": "free and bounded variables are a concept from predicate calculus",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058669769227767900,
"author_id": 140982764924174340,
"author_name": "doomfletcherpoe",
"timestamp": "12/31/2022 03:55:42",
"content": "I guess I don't have an understanding of what that statement truly means",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058684869447790600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 04:55:42",
"content": "@doomfletcherpoe Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 140982764924174340,
"name": "doomfletcherpoe",
"discriminator": "4586",
"nickname": "doomfletcherpoe",
"isBot": false
}
],
"reference": null
},
{
"id": 1058691806793039900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 05:23:16",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
257564912c1544418b2f3db044ed829f
|
200,442 |
[
{
"id": 1058695715116830700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 05:38:48",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058698820755669000,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 05:51:08",
"content": "Hello i am stuck on a problem I have to find a function that satisfies these conditions f(0)=0 and x2xf(x)-1=(x^2+1)[f(x)-f'(x)]",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058698824455041000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 05:51:09",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058698820755669000,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058699194992447500,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 05:52:37",
"content": "The way we usually solve them is we write the whole thing in one derivative",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058699214101696500,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 05:52:42",
"content": "But i am stuck",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058699419123462300,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 05:53:31",
"content": "I tried factoring the expression but I can't see something that i can use",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058699760460120000,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 05:54:52",
"content": "its the second to last problem",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058699884091428900,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 05:55:22",
"content": "",
"attachments": [
{
"id": 1058699883802013700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058699883802013696/rn_image_picker_lib_temp_a3f75e39-8829-466b-a8d6-bcebd01b9e63.jpg",
"fileName": "rn_image_picker_lib_temp_a3f75e39-8829-466b-a8d6-bcebd01b9e63.jpg",
"fileSizeBytes": 734796
}
],
"mentions": [],
"reference": null
},
{
"id": 1058700548167180300,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 05:58:00",
"content": "",
"attachments": [
{
"id": 1058700547840020500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058700547840020540/rn_image_picker_lib_temp_ad6d29b4-3c5d-4148-84c4-686a7ec57caa.jpg",
"fileName": "rn_image_picker_lib_temp_ad6d29b4-3c5d-4148-84c4-686a7ec57caa.jpg",
"fileSizeBytes": 593566
}
],
"mentions": [],
"reference": null
},
{
"id": 1058700622075019300,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 05:58:18",
"content": "thats how far i managed to get using derovative",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058700687208362000,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 05:58:33",
"content": "I tried factoring and i got to this point",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058701378719055900,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:01:18",
"content": "",
"attachments": [
{
"id": 1058701378433847300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058701378433847348/rn_image_picker_lib_temp_fb4fc814-289b-4ccb-9022-5d04d56aba7d.jpg",
"fileName": "rn_image_picker_lib_temp_fb4fc814-289b-4ccb-9022-5d04d56aba7d.jpg",
"fileSizeBytes": 663452
}
],
"mentions": [],
"reference": null
},
{
"id": 1058704836482314200,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:15:02",
"content": "@Helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058707778480373900,
"author_id": 484820839003455500,
"author_name": "Adri",
"timestamp": "12/31/2022 06:26:44",
"content": "yo",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058708235151999000,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:28:33",
"content": "hello",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058708389238145000,
"author_id": 484820839003455500,
"author_name": "Adri",
"timestamp": "12/31/2022 06:29:09",
"content": "i would have though you'd try and factor all the f(x) into one polynomial",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058708702334566400,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:30:24",
"content": "I 've done it its on the last picture",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058708759163174900,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:30:38",
"content": "If i understood correctly",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058708786199662600,
"author_id": 484820839003455500,
"author_name": "Adri",
"timestamp": "12/31/2022 06:30:44",
"content": "oh you have",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058708915195482100,
"author_id": 484820839003455500,
"author_name": "Adri",
"timestamp": "12/31/2022 06:31:15",
"content": "well sonce you know that f(0) = 0, you can plug that in right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058709025480507400,
"author_id": 484820839003455500,
"author_name": "Adri",
"timestamp": "12/31/2022 06:31:41",
"content": "then you get f'(x) (x^2 + 1) - 1 = 0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058709157152309200,
"author_id": 484820839003455500,
"author_name": "Adri",
"timestamp": "12/31/2022 06:32:12",
"content": "i think?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058709233526395000,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:32:31",
"content": "yes but when i put x=0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058709276459278500,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:32:41",
"content": "i have to put it in all x",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058709288194949100,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:32:44",
"content": "it wouold be",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058709382323515500,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:33:06",
"content": "f'(0)(0^2+1)-1=0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058709461734277100,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:33:25",
"content": "and i would get f'(0)=1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058709484526121100,
"author_id": 484820839003455500,
"author_name": "Adri",
"timestamp": "12/31/2022 06:33:30",
"content": "well that simplifies to f'(0) - 1 = 0 yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058709555992875000,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:33:48",
"content": "Yes I have to find the function",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058709590058995700,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:33:56",
"content": "F(x)=?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058709728554918000,
"author_id": 484820839003455500,
"author_name": "Adri",
"timestamp": "12/31/2022 06:34:29",
"content": "right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058709780732051600,
"author_id": 484820839003455500,
"author_name": "Adri",
"timestamp": "12/31/2022 06:34:41",
"content": "hm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058709965033967600,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:35:25",
"content": "i have to write the whole thing as a derivative",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058709988173946900,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:35:31",
"content": "for example",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058710041638735900,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:35:43",
"content": "oh no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058710073293148300,
"author_id": 484820839003455500,
"author_name": "Adri",
"timestamp": "12/31/2022 06:35:51",
"content": "?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058710073951662100,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:35:51",
"content": "i have to make an expression",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058710089722253300,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:35:55",
"content": "like that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058710136140603400,
"author_id": 484820839003455500,
"author_name": "Adri",
"timestamp": "12/31/2022 06:36:06",
"content": "??",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058710181627830300,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:36:17",
"content": "H'(x)=G'(x)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058710221075255400,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:36:26",
"content": "sorry i am not fluent in english",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058710242105508000,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:36:31",
"content": "let me try to explain again",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058710251928567800,
"author_id": 484820839003455500,
"author_name": "Adri",
"timestamp": "12/31/2022 06:36:33",
"content": "it's alright",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058710534947606500,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:37:41",
"content": "I have to write the expression like 2 derivative functions",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058711025043656700,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:39:38",
"content": "Are you familiar with the mean value theorem?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058712397134712800,
"author_id": 484820839003455500,
"author_name": "Adri",
"timestamp": "12/31/2022 06:45:05",
"content": "what, f'(c) = (f(b)-f(a))/(b-a)?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058712954121506800,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:47:18",
"content": "Sorry i meant the consequences of the mean value theorem",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058713200591380600,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:48:16",
"content": "Let me send you a pic",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058713347853402100,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:48:52",
"content": "",
"attachments": [
{
"id": 1058713347580764200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058713347580764210/rn_image_picker_lib_temp_8f0e3cce-d1fd-4ddf-b1df-306c84a7f42e.jpg",
"fileName": "rn_image_picker_lib_temp_8f0e3cce-d1fd-4ddf-b1df-306c84a7f42e.jpg",
"fileSizeBytes": 450664
}
],
"mentions": [],
"reference": null
},
{
"id": 1058713407303458800,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:49:06",
"content": "Look at the pink letters",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058713526866280600,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:49:34",
"content": "so if f'(x)=g'(x) then we get f(x)=g(x)+c",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058713601260658800,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:49:52",
"content": "We solve these kind of problems using this method",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058713720504713300,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:50:20",
"content": "byt creating an equation with derivative functions on both sides",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058713935643156500,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:51:12",
"content": "and the way we find F(x) is by plugging to the final product the f(0)=0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058713992954122400,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 06:51:25",
"content": "i Dont know how to explain it better i get confused",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058717768951795800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 07:06:26",
"content": "@tzerotzo Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 299168895158452200,
"name": "tzerotzo",
"discriminator": "8017",
"nickname": "tzerotzo",
"isBot": false
}
],
"reference": null
},
{
"id": 1058717840691175400,
"author_id": 299168895158452200,
"author_name": "tzerotzo",
"timestamp": "12/31/2022 07:06:43",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058717843836895200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 07:06:43",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
7fd2f88064c14bab922719e56543aa56
|
200,443 |
[
{
"id": 1035128713609748600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 05:51:57",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035131957186670600,
"author_id": 561595347772899300,
"author_name": "Omer",
"timestamp": "10/27/2022 06:04:50",
"content": "Help with this question please",
"attachments": [
{
"id": 1035131956955988100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1035131956955988089/IMG_20221027_210023.jpg",
"fileName": "IMG_20221027_210023.jpg",
"fileSizeBytes": 79281
}
],
"mentions": [],
"reference": null
},
{
"id": 1035131961863311400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 06:04:51",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1035131957186670600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1035135733444399100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 06:19:50",
"content": "@Omer Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 561595347772899300,
"name": "Omer",
"discriminator": "6134",
"nickname": "Omer",
"isBot": false
}
],
"reference": null
},
{
"id": 1035143721454407700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 06:51:35",
"content": "@Omer Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 561595347772899300,
"name": "Omer",
"discriminator": "6134",
"nickname": "Omer",
"isBot": false
}
],
"reference": null
},
{
"id": 1035158900435062800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 07:51:54",
"content": "@Omer Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 561595347772899300,
"name": "Omer",
"discriminator": "6134",
"nickname": "Omer",
"isBot": false
}
],
"reference": null
},
{
"id": 1035174002026631300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 08:51:54",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
7d3849454c7045428c975a6c087081a1
|
200,444 |
[
{
"id": 1058727008378556400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 07:43:08",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058729296719519700,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 07:52:14",
"content": "What does it mean for a set to be \"equipped\" with a relation? \n\nIn our proofs and logic class we defined a partially ordered set to be a couple (X,<) with a set X and an order relation <. Im not sure what is ment by a \"couple\" i guess just a 2-tuple but that doesnt clear anything up. And online ive seen people refer to a poset as a set 'equiped' with an order relation. So yeah... what does it mean",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058729300045602800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 07:52:15",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058729296719519700,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058729449786454100,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/31/2022 07:52:51",
"content": "just fancy language for \"has a relation\"",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058729573723938800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 07:53:20",
"content": "You consider the set together with the order",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058729977920630800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 07:54:56",
"content": "You are probably overthinking this. Just means that you have two things, the set and the relation. Nothing else",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058730285182767200,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 07:56:10",
"content": "Thats the part thats tripping me up tho, is a set with a relation a new entity/object? Does it just mean we have a set wherein the specified relation (in this case order) can meaningfully be defined and is 'active' as in its valid for every element of the set.",
"attachments": [],
"mentions": [
{
"id": 182179228840755200,
"name": "iCaird",
"discriminator": "6258",
"nickname": "ΣAC",
"isBot": false
}
],
"reference": null
},
{
"id": 1058730468368982100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 07:56:53",
"content": "Well a set is just a set. A set with a partial order is now a partially ordered set",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058730469069434900,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/31/2022 07:56:54",
"content": "the same set with two different relations are two different \"entities\" yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058730515563282600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/31/2022 07:57:05",
"content": "think maybe you're overthinking it a bit",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058730706144071800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 07:57:50",
"content": "A set can have two different orders. So (X, <_1) and (X,<_2) are two different posets",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058730795080089700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 07:58:11",
"content": "With the same ground/base set X",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058730834372337700,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 07:58:21",
"content": "Okey that clears it up a bit",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058730920271675400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/31/2022 07:58:41",
"content": "\"a set equipped with a whatever\" just means a structure consisting of a set and a whatever",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058730933542473700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/31/2022 07:58:44",
"content": "kind of like a C `struct`",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058730940484038800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/31/2022 07:58:46",
"content": "in a sense",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058730983077200000,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "12/31/2022 07:58:56",
"content": "it does form a new entity yes, a pair of a set and a relation",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058731515212726300,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "12/31/2022 08:01:03",
"content": "but dont overthink that too much",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058731707987136500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 08:01:49",
"content": "In an abuse of notation most of the time you will again drop that notation and just speak of the poset X if from context it is clear which order you mean",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058731734524493800,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:01:55",
"content": "Maybe. Its a pretty core idea in the class tho and im struggling with it so i think it'll pay off if i understand. Everything else like set operations and stuff are all defined pretty rigorously to the point that it feels like overdoing it in my textbook so its pretty strange of the book to just throw out a set \"equiped\" with something without giving it any meaning",
"attachments": [],
"mentions": [
{
"id": 183668144404037630,
"name": "Ann",
"discriminator": "0413",
"nickname": "Ann",
"isBot": false
}
],
"reference": null
},
{
"id": 1058731844121665500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 08:02:21",
"content": "Well you can also say a set equipped with an operation",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058731947410608300,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:02:46",
"content": "Yeah haha exactly, thats why i feel like i should understand what exactly that means",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058732066423984100,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:03:14",
"content": "Anyway, so would it be correct or okey to think of a set 'equiped' with an relation as, a set wherein the specified relation can meaningfully be defined and is 'active' ,as in its valid, for every element of the set.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058732343151579100,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/31/2022 08:04:20",
"content": "is your confusion with the definition of a partial order?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058732367461748900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 08:04:26",
"content": "I mean saying that a relation is valid for an element of a set is a bit weird",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058732460051013600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 08:04:48",
"content": "A relation always talks about pairs of elements, if anything",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058732699126353900,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:05:45",
"content": "I think im clear on partial orders, im really just struggling with the general meaning of a set being equipped with something.",
"attachments": [],
"mentions": [
{
"id": 182179228840755200,
"name": "iCaird",
"discriminator": "6258",
"nickname": "ΣAC",
"isBot": false
}
],
"reference": null
},
{
"id": 1058732865485017100,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/31/2022 08:06:25",
"content": "just replace the words \"equipped with\" with \"has\"",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058732956216201300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 08:06:47",
"content": "When you say you have done set operations, what kind of stuff have you seen there",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058732971244404900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 08:06:50",
"content": "Groups maybe?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058733024189104100,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:07:03",
"content": "Yeah, i didnt mean to provide an exact definition. I just think of it as a set whereon a relation can be defined meaningfully and the relation also *is* defined on the set.",
"attachments": [],
"mentions": [
{
"id": 132304137583984640,
"name": "Denascite",
"discriminator": "8952",
"nickname": "Denascite",
"isBot": false
}
],
"reference": null
},
{
"id": 1058733080891904000,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:07:16",
"content": "What i mean by \"is active for every element of the set\" is just it is defined on the set",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058733082506694800,
"author_id": 484820839003455500,
"author_name": "Adri",
"timestamp": "12/31/2022 08:07:17",
"content": "hi oomfies",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058733099376181200,
"author_id": 484820839003455500,
"author_name": "Adri",
"timestamp": "12/31/2022 08:07:21",
"content": "wait",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058733116216328200,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:07:25",
"content": "it can be defined + it is defined",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058733123845754900,
"author_id": 484820839003455500,
"author_name": "Adri",
"timestamp": "12/31/2022 08:07:27",
"content": "hold on nvm wrong channel",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058733214635667500,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:07:48",
"content": "I ment like union and stuff haha 😅 its an introductory class",
"attachments": [],
"mentions": [
{
"id": 132304137583984640,
"name": "Denascite",
"discriminator": "8952",
"nickname": "Denascite",
"isBot": false
}
],
"reference": null
},
{
"id": 1058733261846749300,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "12/31/2022 08:07:59",
"content": "lol",
"attachments": [],
"mentions": [
{
"id": 484820839003455500,
"name": "Adri",
"discriminator": "1597",
"nickname": "Adri",
"isBot": false
}
],
"reference": null
},
{
"id": 1058733270625435600,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:08:02",
"content": "We have algebraic structures next semester tho so i'll be introduced to groups then",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058733309896708100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 08:08:11",
"content": "It makes no sense to talk about a set X with an order < if that order isn't defined on X",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058733485579317200,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:08:53",
"content": "Yeah so saying a set X with an order < means a set X whereon an order < is defined. And whereon an order x is defined means the order exists between any two elements of the set",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058733591812640800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 08:09:18",
"content": "Well for a partial order not necessarily between any two elements",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058733605838389400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 08:09:21",
"content": "But yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058733721987063800,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:09:49",
"content": "Okey.. ig i'll just think of it that way then?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058733852228599800,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:10:20",
"content": "Thanks for the help!!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058733894867878000,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:10:30",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058733897799717000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 08:10:31",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
f2ec5780b66a4553a9d27a77f9cbf1f2
|
200,445 |
[
{
"id": 1058735889213300900,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:18:26",
"content": ".reopen",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058735895060156500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 08:18:27",
"content": "✅",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058736012974641200,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:18:55",
"content": "I ment different structures, is a poset no longer a set but a different structure?",
"attachments": [],
"mentions": [
{
"id": 182179228840755200,
"name": "iCaird",
"discriminator": "6258",
"nickname": "ΣAC",
"isBot": false
}
],
"reference": null
},
{
"id": 1058736132864606200,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:19:24",
"content": "Or in general is a set equiped with a relation now a structure made up of a set and a relation that is at play in the set",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058736167878672500,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/31/2022 08:19:32",
"content": "well its still a set",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058736177689149600,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/31/2022 08:19:35",
"content": "but its also a poset",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058736202821411000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/31/2022 08:19:41",
"content": "depends how you want to view it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058736328239493200,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:20:11",
"content": "Oh okey, its more like if it ticks off all the characteristics of a set its a set but it can also be more than a set",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058736352759386200,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/31/2022 08:20:16",
"content": "take the integers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058736358451056800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/31/2022 08:20:18",
"content": "thats a set",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058736372703318000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/31/2022 08:20:21",
"content": "but you can also add integers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058736410124894200,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/31/2022 08:20:30",
"content": "so its also a set with structure (i.e. addition)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058736538315403300,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:21:01",
"content": "Ahha okey i think i got it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058736788077826200,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:22:00",
"content": "So for another example, a vector space equiped with a multiplication betweens vectors defined is more then a vector space but its also a vector space since it checks off all the criteria to be one",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058736914737397800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/31/2022 08:22:30",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058736970269999100,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/31/2022 08:22:44",
"content": "confusingly that object you've described is called an algebra",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058737044307857500,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/31/2022 08:23:01",
"content": "assuming your multiplication plays nicely",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058737085957296100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/31/2022 08:23:11",
"content": "you can 'forget' some of the structure on an object if it is convenient",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058737141934469100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "12/31/2022 08:23:25",
"content": "you can consider an algebra as a vector space if you do not care about its multiplication, for example",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058737212642041900,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:23:41",
"content": "ahh okey",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058737272918380500,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/31/2022 08:23:56",
"content": "yeah just like we could forget we can add integers if we wanted",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058737321350021100,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:24:07",
"content": "this is cool i wish i had like a more in depth class on stuff like this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058737510068519000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "12/31/2022 08:24:52",
"content": "when you have lots of structure on a set you can basically just shift your view on what this object actually is however you like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058737781695856600,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:25:57",
"content": "okey, well i think i get it a bit better now",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058737793708327000,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:26:00",
"content": "thanks for all the help!!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058737824880410600,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 08:26:07",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058737827464093800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 08:26:08",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
48f2948299194d15882d2b0cb3456201
|
200,446 |
[
{
"id": 1058744417319649400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 08:52:19",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058747005427519500,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "12/31/2022 09:02:36",
"content": "Let f: S -> T and A be a subset of S. ~A represents complement of A. Then show that f(~A) subset ~(f(A)) doesn't hold in general.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058747007574999000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 09:02:37",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058747005427519500,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058747195769233400,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "12/31/2022 09:03:22",
"content": "This is kinda weird cause I feel that this should be true. Lemme know where my proof fails",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058747752290455700,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "12/31/2022 09:05:34",
"content": "Let t in f(~A) then t = f(s) for some s in ~A. This implies s is not in A, implies f(s) is not in f(A) so, t = f(s) belongs to ~(f(A))",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058747959157727400,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "12/31/2022 09:06:24",
"content": "Hence, f(~A) subset of ~(f(A)) ?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058749135655817300,
"author_id": 279350792371175420,
"author_name": "LayneTheAndroid",
"timestamp": "12/31/2022 09:11:04",
"content": "\"This implies s is not in A, implies f(s) is not in f(A) \" this is the issue. Just because s is not in A it doesn't also mean that f(s) is not in f(A), i.e ||f(s_1)=f(s_2) where s_2 is in A||",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058749147727016000,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "12/31/2022 09:11:07",
"content": "\"s is not in A, implies f(s) is not in f(A)\" you cannot make this stoep",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058749386479374500,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "12/31/2022 09:12:04",
"content": "something outside of A can still have the same image as something in A",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058749533917556700,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "12/31/2022 09:12:39",
"content": "if we knew that f was injective, then your proof would work",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058751734874382500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 09:21:24",
"content": "@numbpy Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 362794394887127040,
"name": "numbpy",
"discriminator": "2527",
"nickname": "numbpy",
"isBot": false
}
],
"reference": null
},
{
"id": 1058753420120555600,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/31/2022 09:28:06",
"content": "f(x) = x²\nLet A = positive numbers\n~A = negative numbers and 0\nf(A) = positive numbers\nf(~A) = 0 and positive numbers\n~f(A) = negative numbers\nif t is in f(~A), then t >= 0. Exists s <= 0 st t=f(s)\nIf f(s) is not in f(A), then f(s) must be negative",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058753702497878000,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "12/31/2022 09:29:13",
"content": "Which is not possible",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058756511154831500,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "12/31/2022 09:40:23",
"content": "Understood my mistake",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058756547632701400,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "12/31/2022 09:40:31",
"content": "Thanks all",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058756567152988200,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "12/31/2022 09:40:36",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058756570378416300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 09:40:37",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
6ec2fd0e56314222a3010f25b8d4a920
|
200,447 |
[
{
"id": 1058768253645754500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 10:27:02",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058768364157292700,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:27:28",
"content": "Addition and multiplication on Q and R are defined as a function from F X F where F = Q or R. This is the definition given in my book + : F X F --> F : (x,y) --> x + y. Is there a well defined 'description' for 'x + y'?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058768369173680100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 10:27:30",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058768364157292700,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058768407325048800,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:27:39",
"content": "Since otherwise it feels pretty circular haha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058768670794457200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:28:42",
"content": "what exactly do you mean with description",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058768774095974500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:29:06",
"content": "if you construct Q and R then you of course also need to define properly what addition and multiplication are",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058768796422262900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:29:12",
"content": "but that takes quite some time",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058768847232057500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:29:24",
"content": "so yeah here this is supposed to be somewhat circular",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058768871324127400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:29:29",
"content": "essentially only introducing the notation",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058768978140463200,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:29:55",
"content": "Ahh okey, any idea where i can find more on the properly defined addition/multiplication?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058769028740546700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:30:07",
"content": "look up the construction of the natural numbers first",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058769029994659800,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:30:07",
"content": "I suppose i mean an expression to evaluate x+y for any x and y",
"attachments": [],
"mentions": [
{
"id": 132304137583984640,
"name": "Denascite",
"discriminator": "8952",
"nickname": "Denascite",
"isBot": false
}
],
"reference": null
},
{
"id": 1058769064731877500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:30:16",
"content": "well \"x+y\"",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058769087146229900,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:30:21",
"content": "With the succesor function and stuff?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058769098131128300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:30:23",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058769189898293200,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:30:45",
"content": "oh wait i vaguely remember how we defined multiplication in clas",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058769196298797200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:30:47",
"content": "and then addition and multiplication are defined via induction etc",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058769198953791600,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:30:48",
"content": "class*",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058769250547945600,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:31:00",
"content": "Oh wasnt it using equivalence classes?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058769278414880800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:31:06",
"content": "and then with an equivalence relation you construct Z and define addition and multiplication there",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058769314724974700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:31:15",
"content": "and then again equivalence relation gives you Q",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058769329728016400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:31:19",
"content": "and then again gives you R",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058769367531270300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:31:28",
"content": "with proper definitions of + and * along the way",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058769393758257200,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:31:34",
"content": "Oh okey",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058769930541072400,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:33:42",
"content": "Strangely my book doesnt seem to include a construction for N but it does construct Z out of N and Q out of Z etc etc",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058769993673736200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:33:57",
"content": "those are easier constructions",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058770041790800000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:34:08",
"content": "to construct N you have to start from nowhere",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058770078314811400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:34:17",
"content": "but for Z and Q you can start somewhere",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058770105254817800,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:34:24",
"content": "oh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058770182945898500,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:34:42",
"content": "but ig in order to understand addition as a relation i have to understand the N construction first?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058770249668894700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:34:58",
"content": "addition is not a relation",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058770265489805300,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "12/31/2022 10:35:02",
"content": "you do some weird constructions with sets of sets and stuff for N",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058770305981624300,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:35:11",
"content": "oh, my book defines it as a function",
"attachments": [],
"mentions": [
{
"id": 132304137583984640,
"name": "Denascite",
"discriminator": "8952",
"nickname": "Denascite",
"isBot": false
}
],
"reference": null
},
{
"id": 1058770320577806500,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:35:15",
"content": "what is it then",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058770345118675100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:35:21",
"content": "well function != relation",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058770397132247000,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:35:33",
"content": "Oh now im confused haha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058770441256313000,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:35:44",
"content": "i thought a function = relation but relation != function",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058770469341364200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:35:50",
"content": "that makes no sense",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058770538304127000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:36:07",
"content": "some functions are also relations",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058770550954131600,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:36:10",
"content": "I mean a function is always a relation but a relation is not always a function",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058770605417177200,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:36:23",
"content": "the book we use defines a function as a relation with certain properties",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058770627189809200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:36:28",
"content": "(namely the functions from a set to itself)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058770725894357100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:36:52",
"content": "a relation R is a subset of XxX for some set X",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058770765949976700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:37:01",
"content": "a function f:X->Y is a subset of XxY",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058770798829117400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:37:09",
"content": "with some rules",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058770917767008300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:37:37",
"content": "but while that is the technical definition, it's not exactly the most helpful",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058771064425021400,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:38:12",
"content": "So a relation cant be defined from a set X to another different set Y?",
"attachments": [],
"mentions": [
{
"id": 132304137583984640,
"name": "Denascite",
"discriminator": "8952",
"nickname": "Denascite",
"isBot": false
}
],
"reference": null
},
{
"id": 1058771165654556800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:38:36",
"content": "well at least I haven't seen it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058771274668708000,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:39:02",
"content": "damn, das crazy",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058771351097319400,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:39:21",
"content": "my professor made this aweful book that we're using and its full of 'fun' stuff like that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058771407468773400,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:39:34",
"content": "it makes studying for his class so much more difficult bcs definitions etc are not consistent with whats on the internet",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058771573147967500,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:40:14",
"content": "But yeah in his book relations are defined as a subset of XxY",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058771729721348100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:40:51",
"content": "well ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058771778891153400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:41:03",
"content": "then yes all functions are relations. but not all relations are functions",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058771983984250900,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:41:52",
"content": "Anyway, is it worth reading up on the construction of N or should i just leave it be.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058772039172899000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:42:05",
"content": "but you should still think of them differently. relations relate two elements, eg one being smaller than the other or the two being equivalent",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058772084148408400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:42:15",
"content": "functions send elements from one set to elements of another set",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058772130277376000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:42:26",
"content": "yes this also kinds of relates them but in a totally different way",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058772174636339300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:42:37",
"content": "I wouldn't bother reading up on the construction",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058772204432654300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:42:44",
"content": "I don't think it's particularly helpful",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058772226079457400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:42:49",
"content": "at least right now",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058772250553241700,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:42:55",
"content": "okey",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058772306404589600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:43:08",
"content": "just take as given that addition and multiplication work like you expect",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058772393289584800,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:43:29",
"content": "is a function still a set of 2-tupples?",
"attachments": [],
"mentions": [
{
"id": 132304137583984640,
"name": "Denascite",
"discriminator": "8952",
"nickname": "Denascite",
"isBot": false
}
],
"reference": null
},
{
"id": 1058772419336220800,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:43:35",
"content": "i'll do that thanks!",
"attachments": [],
"mentions": [
{
"id": 132304137583984640,
"name": "Denascite",
"discriminator": "8952",
"nickname": "Denascite",
"isBot": false
}
],
"reference": null
},
{
"id": 1058772424218382300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:43:36",
"content": "technically yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058772722819276800,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:44:48",
"content": "Awesome, thanks for the help!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058772801873518600,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:45:07",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058772804880834700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 10:45:07",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
0fcb66610ec14042b03612a16cee73d4
|
200,448 |
[
{
"id": 1058772817417605100,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:45:10",
"content": ".reopen",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058772825701351600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 10:45:12",
"content": "✅",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058772885713465500,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:45:27",
"content": "Oh wait, as i said im using this horrible book for proofs and logic class",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058772922518470700,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:45:35",
"content": "do you have any suggestions on books i can use for self study?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058772971453431900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:45:47",
"content": "no sorry",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058773008078078000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "12/31/2022 10:45:56",
"content": "but probably people in one of the book channels have",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058773023412465800,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:45:59",
"content": "Alright, thanks anyway!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058773078202663000,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "12/31/2022 10:46:12",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058773081197383700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 10:46:13",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
a7050a43e7b44547b142ff707f79ac47
|
200,449 |
[
{
"id": 1058775346729734100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 10:55:13",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058778459628908700,
"author_id": 692544527847915600,
"author_name": "Lili_Monarch",
"timestamp": "12/31/2022 11:07:35",
"content": "Ok solving this using L'hop",
"attachments": [
{
"id": 1058778459444347000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058778459444347071/Screenshot_20221231-110705_Gallery.jpg",
"fileName": "Screenshot_20221231-110705_Gallery.jpg",
"fileSizeBytes": 20311
}
],
"mentions": [],
"reference": null
},
{
"id": 1058778462413914100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 11:07:36",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058778459628908700,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058778653879713800,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/31/2022 11:08:22",
"content": "do u know what L'hopital is",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058778672582111400,
"author_id": 692544527847915600,
"author_name": "Lili_Monarch",
"timestamp": "12/31/2022 11:08:26",
"content": "Yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058778728794181800,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/31/2022 11:08:40",
"content": "So get derivitives",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058778746661896200,
"author_id": 692544527847915600,
"author_name": "Lili_Monarch",
"timestamp": "12/31/2022 11:08:44",
"content": "I got the point where I get 1/0 since it went to sinx/cosx",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058778753519599600,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/31/2022 11:08:45",
"content": "is that pi/2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058778777209020400,
"author_id": 692544527847915600,
"author_name": "Lili_Monarch",
"timestamp": "12/31/2022 11:08:51",
"content": "Yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058778996743090300,
"author_id": 318024849333288960,
"author_name": "Mortta",
"timestamp": "12/31/2022 11:09:43",
"content": "Hm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058779036739977200,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "12/31/2022 11:09:53",
"content": "you cannot use lhopitals then",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058779065223483600,
"author_id": 692544527847915600,
"author_name": "Lili_Monarch",
"timestamp": "12/31/2022 11:10:00",
"content": "Oh bet epic",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058779088266993800,
"author_id": 692544527847915600,
"author_name": "Lili_Monarch",
"timestamp": "12/31/2022 11:10:05",
"content": "That's all I wanted ty",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058779101512609900,
"author_id": 692544527847915600,
"author_name": "Lili_Monarch",
"timestamp": "12/31/2022 11:10:08",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058779106344448000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 11:10:10",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
54dbe5b1b0d847ffb6bfb0d10edef166
|
200,450 |
[
{
"id": 1058800089897902100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 12:33:32",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058807446484828200,
"author_id": 399954060528189440,
"author_name": "v i s m o r f UwU",
"timestamp": "12/31/2022 13:02:46",
"content": "howd they solve that? there are my 2 attempts to solve this equation, and i got the answer, but not in one attempt, i mean if i didnt use this calculator to solve the equation i would give up after the first attempt when i got 3 as answer, so the question is what did i do wrong and how can i get 1/2 -1/2, 3 as answer in 1 attempt?",
"attachments": [
{
"id": 1058807445553692700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058807445553692732/image-1.png",
"fileName": "image-1.png",
"fileSizeBytes": 20567
},
{
"id": 1058807445922783200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058807445922783242/20221231_185603.jpg",
"fileName": "20221231_185603.jpg",
"fileSizeBytes": 1013311
},
{
"id": 1058807446233174100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058807446233174116/20221231_185526.jpg",
"fileName": "20221231_185526.jpg",
"fileSizeBytes": 1485549
}
],
"mentions": [],
"reference": null
},
{
"id": 1058807451668992100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 13:02:48",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058807446484828200,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058811224973910000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 13:17:47",
"content": "@v i s m o r f UwU Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 399954060528189440,
"name": "v i s m o r f UwU",
"discriminator": "3218",
"nickname": "v i s m o r f UwU",
"isBot": false
}
],
"reference": null
},
{
"id": 1058811445850161300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 13:18:40",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
7b2acf32a6e24f398f453dc38c740eaa
|
200,451 |
[
{
"id": 1058811697546133500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 13:19:40",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058826852128542700,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:19:53",
"content": "hey im curious why when you know the magnitude and angle of a vector, \nand now want to convert that into vector sub x and vector sub y, \nwhy is vector sub x = magnitude*cos(theta)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058826854829658200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 14:19:54",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058826852128542700,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058827689508745300,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/31/2022 14:23:13",
"content": "Angle of a vector ? :/",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058827745804689400,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:23:26",
"content": "yeah theta",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058827784073519100,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/31/2022 14:23:35",
"content": "nah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058827795104542800,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:23:38",
"content": "",
"attachments": [
{
"id": 1058827794949361800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058827794949361755/image.png",
"fileName": "image.png",
"fileSizeBytes": 61819
}
],
"mentions": [],
"reference": null
},
{
"id": 1058827805103755300,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:23:40",
"content": "theta here is 30",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058827832912003200,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:23:47",
"content": "wdym?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058827900658397200,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/31/2022 14:24:03",
"content": "it's the angle between two vectors, not the angle of one vector",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058827981943996400,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:24:22",
"content": "or the angle between vector b and the x axis",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058828014449873000,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:24:30",
"content": "idk what else to call it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058828074625552400,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/31/2022 14:24:45",
"content": "yea whatever, now what are you asking ?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058828134692163600,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:24:59",
"content": "this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058828186445680800,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:25:11",
"content": "theta being the angle between the x axis and the vector",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058828268167512200,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/31/2022 14:25:31",
"content": "yes what wrong with it ?",
"attachments": [],
"mentions": [
{
"id": 618992877846134800,
"name": "SnowZillin",
"discriminator": "4335",
"nickname": "SnowZillin",
"isBot": false
}
],
"reference": null
},
{
"id": 1058828297166930000,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:25:38",
"content": "im curious why B_x = mag*cos(theta)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058828339474862100,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:25:48",
"content": "and why B_y = mag*sin(theta)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058828476016230400,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:26:20",
"content": "it seems out of the blue",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058828490008440800,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/31/2022 14:26:24",
"content": "they just project the vector on the x-axis and the y-axis",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058828533390114800,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:26:34",
"content": "yeah but why sin and cos",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058828608023576600,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/31/2022 14:26:52",
"content": "draw a triangle and apply sin and cos formula you'll see",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058828647840096300,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:27:01",
"content": "what is sin and cos formula",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058828689850249200,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/31/2022 14:27:11",
"content": "you never did trigonometry ?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058828703146192900,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:27:14",
"content": "i did",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058828738239926400,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:27:23",
"content": "gimme a summery",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058828743382143100,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/31/2022 14:27:24",
"content": "then why are u saying this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058828791650193500,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:27:36",
"content": "because i mightve forgotten name",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058828860424200200,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/31/2022 14:27:52",
"content": "cah soh toa or whatever you called it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058828889671090200,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/31/2022 14:27:59",
"content": "do you remember that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058828890212147300,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:27:59",
"content": "yeah ik this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058828924794183700,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:28:07",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058828951730004000,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/31/2022 14:28:14",
"content": "now use this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058829034257137700,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:28:33",
"content": "",
"attachments": [
{
"id": 1058829033959338100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058829033959338065/image.png",
"fileName": "image.png",
"fileSizeBytes": 61819
}
],
"mentions": [],
"reference": null
},
{
"id": 1058829047183970300,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:28:36",
"content": "for sin",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058829087705157600,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:28:46",
"content": "we get b_y/2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058829120403935400,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:28:54",
"content": "=sin",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058829152213536800,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:29:01",
"content": "that doesnt really help does it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058829210719899800,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:29:15",
"content": "coorilates sin and b_y but not mg",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058829232437985300,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:29:21",
"content": "nor the angle",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058829439775023200,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:30:10",
"content": "maybe its sin(30) = b_y/2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058829479679623200,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:30:20",
"content": "bruh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058829529692524500,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:30:31",
"content": "2sin(30)=b_y",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058829561816682500,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "12/31/2022 14:30:39",
"content": "you understand now ?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058829581123059800,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:30:44",
"content": "and you could say a similar thing with cosine",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058829592024076400,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:30:46",
"content": "yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058829684219064300,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:31:08",
"content": "i thought of that earlier i just forgot to move the 2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058829689063489500,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:31:09",
"content": "lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058829714745217000,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:31:16",
"content": "ty for the help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058829732197716000,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:31:20",
"content": "that makes more sense now",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058829740091375600,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "12/31/2022 14:31:22",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058829743224541300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 14:31:22",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
e4ed24935e71442386e17ff7169e2d6d
|
200,452 |
[
{
"id": 1058829994811465900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 14:32:22",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058839385119928300,
"author_id": 728442724252123300,
"author_name": "Mamoun",
"timestamp": "12/31/2022 15:09:41",
"content": "does anyone know how i can implement a rolling algorithm in 2d?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058839387170947200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 15:09:42",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058839385119928300,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058839507295797200,
"author_id": 728442724252123300,
"author_name": "Mamoun",
"timestamp": "12/31/2022 15:10:10",
"content": "like i want to manually adjust the rotation of the object, and the position of the object will auto adjust",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058839660673110000,
"author_id": 728442724252123300,
"author_name": "Mamoun",
"timestamp": "12/31/2022 15:10:47",
"content": "i was able to calculate the contact anchors of the object, but i dont know how to use those as pivot points for the rolling",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058842429538705400,
"author_id": 728442724252123300,
"author_name": "Mamoun",
"timestamp": "12/31/2022 15:21:47",
"content": "anyone?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058842651136372700,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/31/2022 15:22:40",
"content": "What are trying to do",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058842971878998100,
"author_id": 728442724252123300,
"author_name": "Mamoun",
"timestamp": "12/31/2022 15:23:56",
"content": "https://www.youtube.com/watch?v=jYARpDC3Ttk",
"attachments": [],
"mentions": [
{
"id": 374795910032523260,
"name": "SWR",
"discriminator": "8588",
"nickname": "SWR",
"isBot": false
}
],
"reference": null
},
{
"id": 1058843009065693300,
"author_id": 728442724252123300,
"author_name": "Mamoun",
"timestamp": "12/31/2022 15:24:05",
"content": "you dont need to watch the whole thing, just the first few seconds",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058843043542876200,
"author_id": 728442724252123300,
"author_name": "Mamoun",
"timestamp": "12/31/2022 15:24:13",
"content": "i just want to roll an object like that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058843227265978400,
"author_id": 728442724252123300,
"author_name": "Mamoun",
"timestamp": "12/31/2022 15:24:57",
"content": "so ive figured out as much that i need to have a convex hull to use as the contact points",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058843251764895700,
"author_id": 728442724252123300,
"author_name": "Mamoun",
"timestamp": "12/31/2022 15:25:03",
"content": "just dont know how to take those",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058843252427595800,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/31/2022 15:25:03",
"content": "Sounds more like a CS question",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058843287231926300,
"author_id": 728442724252123300,
"author_name": "Mamoun",
"timestamp": "12/31/2022 15:25:12",
"content": "well it's rooted in math",
"attachments": [],
"mentions": [
{
"id": 374795910032523260,
"name": "SWR",
"discriminator": "8588",
"nickname": "SWR",
"isBot": false
}
],
"reference": null
},
{
"id": 1058843338897359000,
"author_id": 728442724252123300,
"author_name": "Mamoun",
"timestamp": "12/31/2022 15:25:24",
"content": "and there arent really any general cs servers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058843378726477800,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "12/31/2022 15:25:33",
"content": "Yeah but I think a CS person could do a better job answering it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058843408120156200,
"author_id": 728442724252123300,
"author_name": "Mamoun",
"timestamp": "12/31/2022 15:25:40",
"content": "alright",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058847183794868500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 15:40:41",
"content": "@Mamoun Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 728442724252123300,
"name": "Mamoun",
"discriminator": "7217",
"nickname": "Mamoun",
"isBot": false
}
],
"reference": null
},
{
"id": 1058847358105956500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 15:41:22",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
dee04769f3f344f79dd6c1708423a993
|
200,453 |
[
{
"id": 1058847609806143600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 15:42:22",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058850136270319600,
"author_id": 820928612336402400,
"author_name": "JuIian",
"timestamp": "12/31/2022 15:52:24",
"content": "Very quick question: \n\nWhen solving the differential equation x'(t) = e^(2t) * (x(t))^2 I get the result -1/(1/2e^(2t)+C) \n\nThe answer I get by using wolframalpha is shown in the picture\n\nI am 99,9% sure that both answers are valid (feel free to confirm though), but I have been wondering how I can rationalize the fact that I can move 1/2 \"up\". If this were done in another context it would be mathematically wrong no? \n\nIs it correct to assume that this can be done because C and 1/2 * C are the \"same\" in the sense of \"any number\" = \"0.5 times any number\", thus being able to factorize 1/2 and move it?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058850138614943700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 15:52:25",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058850136270319600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058850147657855000,
"author_id": 820928612336402400,
"author_name": "JuIian",
"timestamp": "12/31/2022 15:52:27",
"content": "",
"attachments": [
{
"id": 1058850147309736000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058850147309735946/image.png",
"fileName": "image.png",
"fileSizeBytes": 2505
}
],
"mentions": [],
"reference": null
},
{
"id": 1058850693240344700,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/31/2022 15:54:37",
"content": "Indeed, you could write C = (1/2)*K, where K is just another number, and then you find back the answer that Wolfram has gotten",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058850816863240200,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/31/2022 15:55:07",
"content": "The constant won't be the same, but here we do not care",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058850832021467100,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/31/2022 15:55:10",
"content": "@JuIian",
"attachments": [],
"mentions": [
{
"id": 820928612336402400,
"name": "JuIian",
"discriminator": "6943",
"nickname": "JuIian",
"isBot": false
}
],
"reference": null
},
{
"id": 1058851099680964600,
"author_id": 820928612336402400,
"author_name": "JuIian",
"timestamp": "12/31/2022 15:56:14",
"content": "But isnt the constant C a random/arbitrary number? (= can take any value)\n\nHow come the constant will be \"different\" then. Its still just an arbitrary number no?",
"attachments": [],
"mentions": [
{
"id": 154343039878299650,
"name": "Fέliχ",
"discriminator": "3252",
"nickname": "all matrices are invertible",
"isBot": false
}
],
"reference": null
},
{
"id": 1058851534743552100,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/31/2022 15:57:58",
"content": "For any constant given, the function you got will be a solution to the differential equation\n\nIt is also true for C/2, because C/2 is just another constant",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058851854638919700,
"author_id": 820928612336402400,
"author_name": "JuIian",
"timestamp": "12/31/2022 15:59:14",
"content": "hmm so one could say that whether we write C or C/2 is irrelevant cause any number that can be given as C can also be depicted as C/2? 🤔",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058852069542469600,
"author_id": 820928612336402400,
"author_name": "JuIian",
"timestamp": "12/31/2022 16:00:05",
"content": "is that the correct take?",
"attachments": [],
"mentions": [
{
"id": 154343039878299650,
"name": "Fέliχ",
"discriminator": "3252",
"nickname": "all matrices are invertible",
"isBot": false
}
],
"reference": null
},
{
"id": 1058852645151985800,
"author_id": 154343039878299650,
"author_name": "Fέliχ",
"timestamp": "12/31/2022 16:02:23",
"content": "Yes",
"attachments": [],
"mentions": [
{
"id": 820928612336402400,
"name": "JuIian",
"discriminator": "6943",
"nickname": "JuIian",
"isBot": false
}
],
"reference": null
},
{
"id": 1058852873661862000,
"author_id": 820928612336402400,
"author_name": "JuIian",
"timestamp": "12/31/2022 16:03:17",
"content": "Alright thanks for clearing it up",
"attachments": [],
"mentions": [
{
"id": 154343039878299650,
"name": "Fέliχ",
"discriminator": "3252",
"nickname": "all matrices are invertible",
"isBot": false
}
],
"reference": null
},
{
"id": 1058856649571438700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 16:18:17",
"content": "@JuIian Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 820928612336402400,
"name": "JuIian",
"discriminator": "6943",
"nickname": "JuIian",
"isBot": false
}
],
"reference": null
},
{
"id": 1058856669817339900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 16:18:22",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
d41359cce3cc4faa8a1eba76fbb0f5b1
|
200,454 |
[
{
"id": 1035174255211577300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 08:52:55",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035175489154846800,
"author_id": 357715398596231200,
"author_name": "Kari",
"timestamp": "10/27/2022 08:57:49",
"content": ".",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035175532599451600,
"author_id": 357715398596231200,
"author_name": "Kari",
"timestamp": "10/27/2022 08:57:59",
"content": "",
"attachments": [
{
"id": 1035175532062589000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1035175532062588998/20221027_205729.jpg",
"fileName": "20221027_205729.jpg",
"fileSizeBytes": 1270853
}
],
"mentions": [],
"reference": null
},
{
"id": 1035175535640326100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 08:58:00",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1035175532599451600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1035175739315716200,
"author_id": 357715398596231200,
"author_name": "Kari",
"timestamp": "10/27/2022 08:58:48",
"content": "i know how to do this if triangle EDM is a equilateral triangle",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035175785952198700,
"author_id": 357715398596231200,
"author_name": "Kari",
"timestamp": "10/27/2022 08:59:00",
"content": "but it doesnt specify whether or not it is",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035175795267752100,
"author_id": 357715398596231200,
"author_name": "Kari",
"timestamp": "10/27/2022 08:59:02",
"content": "savesta",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035175810535006300,
"author_id": 357715398596231200,
"author_name": "Kari",
"timestamp": "10/27/2022 08:59:05",
"content": "ikr",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035175903896031400,
"author_id": 357715398596231200,
"author_name": "Kari",
"timestamp": "10/27/2022 08:59:28",
"content": "cool",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035175990101540900,
"author_id": 357715398596231200,
"author_name": "Kari",
"timestamp": "10/27/2022 08:59:48",
"content": "@Moderators",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035176048385605600,
"author_id": 357715398596231200,
"author_name": "Kari",
"timestamp": "10/27/2022 09:00:02",
"content": "muhahahah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035176064063918100,
"author_id": 357715398596231200,
"author_name": "Kari",
"timestamp": "10/27/2022 09:00:06",
"content": "i called the mods buster",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035176076860723300,
"author_id": 357715398596231200,
"author_name": "Kari",
"timestamp": "10/27/2022 09:00:09",
"content": "ur getting busted",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035176151716479000,
"author_id": 382564543085281300,
"author_name": "Lochverstärker",
"timestamp": "10/27/2022 09:00:27",
"content": ":sully:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035176615375810700,
"author_id": 357715398596231200,
"author_name": "Kari",
"timestamp": "10/27/2022 09:02:17",
"content": "",
"attachments": [
{
"id": 1035176615015088100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1035176615015088128/20221027_210204.jpg",
"fileName": "20221027_210204.jpg",
"fileSizeBytes": 1074385
}
],
"mentions": [],
"reference": null
},
{
"id": 1035176645616742400,
"author_id": 357715398596231200,
"author_name": "Kari",
"timestamp": "10/27/2022 09:02:24",
"content": "Im not sure where to start here",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035176671545925600,
"author_id": 357715398596231200,
"author_name": "Kari",
"timestamp": "10/27/2022 09:02:31",
"content": "could anybody give me a hint",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035176796762681300,
"author_id": 357715398596231200,
"author_name": "Kari",
"timestamp": "10/27/2022 09:03:01",
"content": "im assuming EDM is an equilateral triangle but there is no way to tell is there?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035176933136269300,
"author_id": 357715398596231200,
"author_name": "Kari",
"timestamp": "10/27/2022 09:03:33",
"content": "o it is",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035176942451839100,
"author_id": 357715398596231200,
"author_name": "Kari",
"timestamp": "10/27/2022 09:03:35",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1035176945220079700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 09:03:36",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
7f09f7fd190442e5bf19f49437265fbb
|
200,455 |
[
{
"id": 1058863650531713200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 16:46:07",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058865195272900700,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "12/31/2022 16:52:15",
"content": "there may be a mistake in the answer can anyone confirm this for me? i think that there is no x that is possible here but the answer shows otherwise",
"attachments": [
{
"id": 1058865194966712300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058865194966712371/image.png",
"fileName": "image.png",
"fileSizeBytes": 2683
}
],
"mentions": [],
"reference": null
},
{
"id": 1058865197818843300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 16:52:15",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1058865195272900700,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1058865293264441500,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "12/31/2022 16:52:38",
"content": "",
"attachments": [
{
"id": 1058865292949860500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058865292949860432/image.png",
"fileName": "image.png",
"fileSizeBytes": 83781
}
],
"mentions": [],
"reference": null
},
{
"id": 1058869578635161700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 17:09:40",
"content": "@ImFlower Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 329571312240558100,
"name": "ImFlower",
"discriminator": "0966",
"nickname": "ImFlower",
"isBot": false
}
],
"reference": null
},
{
"id": 1058872759037464600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/31/2022 17:22:18",
"content": "Uh, I also got x > 4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058872775332348000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/31/2022 17:22:22",
"content": "But not how they did it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058873311683158000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/31/2022 17:24:30",
"content": "It seems they did some analysis",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058873357409464300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/31/2022 17:24:41",
"content": "@ImFlower I see no error as far as I see",
"attachments": [],
"mentions": [
{
"id": 329571312240558100,
"name": "ImFlower",
"discriminator": "0966",
"nickname": "ImFlower",
"isBot": false
}
],
"reference": null
},
{
"id": 1058873821068787800,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "12/31/2022 17:26:31",
"content": "damn",
"attachments": [],
"mentions": [
{
"id": 349354952961032200,
"name": "Umbraleviathan",
"discriminator": "3607",
"nickname": "Umbraleviathan",
"isBot": false
}
],
"reference": null
},
{
"id": 1058873957094268900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/31/2022 17:27:04",
"content": "It's very confusing lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058874014749167700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/31/2022 17:27:18",
"content": "Took some time to seeexatcly what they were doing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058874030201000100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/31/2022 17:27:21",
"content": "I wouldn't do it that way",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058874134890815600,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "12/31/2022 17:27:46",
"content": "i got the answer the other way around kinda",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058874174887694500,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "12/31/2022 17:27:56",
"content": "i guess i will retry",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058874184547184800,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "12/31/2022 17:27:58",
"content": "thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058874195162968200,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:28:01",
"content": "",
"attachments": [
{
"id": 1058874194768707700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058874194768707684/IMG_20221231_232403_551.jpg",
"fileName": "IMG_20221231_232403_551.jpg",
"fileSizeBytes": 57121
},
{
"id": 1058874194944872400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058874194944872488/IMG_20221231_232718_316.jpg",
"fileName": "IMG_20221231_232718_316.jpg",
"fileSizeBytes": 55525
}
],
"mentions": [],
"reference": null
},
{
"id": 1058874257557430400,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:28:15",
"content": "I don't get what ur doing ? Trying to find the x ?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058874284098977900,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "12/31/2022 17:28:22",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058874298388979800,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:28:25",
"content": "Yes !",
"attachments": [],
"mentions": [
{
"id": 349354952961032200,
"name": "Umbraleviathan",
"discriminator": "3607",
"nickname": "Umbraleviathan",
"isBot": false
}
],
"reference": null
},
{
"id": 1058874322011312100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/31/2022 17:28:31",
"content": "I mean",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058874383994728400,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:28:46",
"content": "I don't know.if what I did is correct or not",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058874451497861100,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:29:02",
"content": "Sorry for the handwriting tho",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058875021147254800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/31/2022 17:31:17",
"content": "What I did was find the x-value of intercepts, which I got 0 and 4\n\nI'm gonna let f: |x^2 - 5x| and g: |x^2 - 3x|\n\nSince both functions are zero-order continuous, I can use IVT to test when the functions are greater than the other:\n\nFor x < 0:\n\nf(-1) > g(-1) => f > g for x < 0\n\nFor 0 < x < 4 => f > g for 0 < x < 4\n\nf(-2) > g(-2)\n\nFor x > 4:\n\nf(5) < g(5) => f < g for x > 4\n\nTherefore the inequality solved is x > 4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058875027933638700,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/31/2022 17:31:19",
"content": "i don't think so because you need to know when \n |x²-5x| = x² - 5x \nand when \n |x²-5x| = -x² + 5x \nsame thing for |3x - x²|",
"attachments": [],
"mentions": [
{
"id": 784844454330368000,
"name": "Jennifer~",
"discriminator": "2969",
"nickname": "Jennifer~",
"isBot": false
}
],
"reference": null
},
{
"id": 1058875119075864600,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/31/2022 17:31:41",
"content": "that's why he do some analysis",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058875125774155800,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:31:42",
"content": "It means.that I did half the job",
"attachments": [],
"mentions": [
{
"id": 942843959783333900,
"name": "Mehdi_Moulati",
"discriminator": "1210",
"nickname": "Mehdi_Moulati",
"isBot": false
}
],
"reference": null
},
{
"id": 1058875226546524200,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "12/31/2022 17:32:06",
"content": "oh man i think youre using something really advanced here? im still a beginner to the subject?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058875298076164200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/31/2022 17:32:24",
"content": "I mean this is just analysis that's much easier",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058875428812632200,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "12/31/2022 17:32:55",
"content": "any video on this?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058875489185448000,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "12/31/2022 17:33:09",
"content": "or what should i search",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058875770065387500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/31/2022 17:34:16",
"content": "Uh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058875793838706800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/31/2022 17:34:22",
"content": "Just IVT if you wanna",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058875925330137200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/31/2022 17:34:53",
"content": "I mean the key thing is that they're continuous functions",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058875981504454800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "12/31/2022 17:35:06",
"content": "So like I can kinda use that knowledge",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058876096466145400,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:35:34",
"content": "",
"attachments": [
{
"id": 1058876095744725000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058876095744725052/IMG_20221231_232403_551.jpg",
"fileName": "IMG_20221231_232403_551.jpg",
"fileSizeBytes": 57121
},
{
"id": 1058876095996375200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058876095996375221/IMG_20221231_232718_316.jpg",
"fileName": "IMG_20221231_232718_316.jpg",
"fileSizeBytes": 55525
},
{
"id": 1058876096252219500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058876096252219543/IMG_20221231_233518_677.jpg",
"fileName": "IMG_20221231_233518_677.jpg",
"fileSizeBytes": 75135
}
],
"mentions": [],
"reference": null
},
{
"id": 1058876120554029200,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:35:40",
"content": "Is it like that ?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058876149859618800,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "12/31/2022 17:35:47",
"content": "no idea what is a continuous function sadly, will look iy up",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058876192561828000,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:35:57",
"content": "@Mehdi_Moulati",
"attachments": [],
"mentions": [
{
"id": 942843959783333900,
"name": "Mehdi_Moulati",
"discriminator": "1210",
"nickname": "Mehdi_Moulati",
"isBot": false
}
],
"reference": null
},
{
"id": 1058876302532292600,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:36:23",
"content": "Homeworks suck frr",
"attachments": [],
"mentions": [
{
"id": 329571312240558100,
"name": "ImFlower",
"discriminator": "0966",
"nickname": "ImFlower",
"isBot": false
}
],
"reference": null
},
{
"id": 1058876451291676800,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "12/31/2022 17:36:58",
"content": "its not homework man im 23 trying to unfuck my hs grades",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058876540429025300,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:37:20",
"content": "Even tho",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058876573006184400,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:37:27",
"content": "Its always solving problems",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058876601422590000,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "12/31/2022 17:37:34",
"content": "yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058876911767523300,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/31/2022 17:38:48",
"content": "a lot of mistakes",
"attachments": [],
"mentions": [
{
"id": 784844454330368000,
"name": "Jennifer~",
"discriminator": "2969",
"nickname": "Jennifer~",
"isBot": false
}
],
"reference": null
},
{
"id": 1058877028901863400,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:39:16",
"content": "What should I do ??",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058877078373679100,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:39:28",
"content": "Oh damn where",
"attachments": [],
"mentions": [
{
"id": 942843959783333900,
"name": "Mehdi_Moulati",
"discriminator": "1210",
"nickname": "Mehdi_Moulati",
"isBot": false
}
],
"reference": null
},
{
"id": 1058877207096852500,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/31/2022 17:39:59",
"content": "2x<0 <=> x<0 not x<-2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058877242601644200,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:40:07",
"content": "Oh fuck",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058877352777621500,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:40:33",
"content": "Noo",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058877364714614800,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:40:36",
"content": "!!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058877418615603200,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:40:49",
"content": "Listen.wait",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058877471375769700,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/31/2022 17:41:02",
"content": "and the second : \n it's 2x² - 8x < 0 not 2x² - 2x<0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058877664531849300,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:41:48",
"content": "",
"attachments": [
{
"id": 1058877664355700700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058877664355700786/IMG_20221231_234136_170.jpg",
"fileName": "IMG_20221231_234136_170.jpg",
"fileSizeBytes": 48359
}
],
"mentions": [],
"reference": null
},
{
"id": 1058877687764095100,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:41:53",
"content": "Omg really",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058877833734271100,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:42:28",
"content": "Lemme do it again and see",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058878571805954200,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:45:24",
"content": "",
"attachments": [
{
"id": 1058878571587842200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058878571587842158/IMG_20221231_234515_422.jpg",
"fileName": "IMG_20221231_234515_422.jpg",
"fileSizeBytes": 81095
}
],
"mentions": [],
"reference": null
},
{
"id": 1058878640768684200,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:45:40",
"content": "I don't know how I.made that mistake before but well",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058878680971083800,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:45:50",
"content": "@Mehdi_Moulati its like that ?",
"attachments": [],
"mentions": [
{
"id": 942843959783333900,
"name": "Mehdi_Moulati",
"discriminator": "1210",
"nickname": "Mehdi_Moulati",
"isBot": false
}
],
"reference": null
},
{
"id": 1058879818906730600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/31/2022 17:50:21",
"content": "**Mehdi\\_Moulati**",
"attachments": [
{
"id": 1058879818994831400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058879818994831390/942843959783333890.png",
"fileName": "942843959783333890.png",
"fileSizeBytes": 46373
}
],
"mentions": [],
"reference": null
},
{
"id": 1058880446647255000,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:52:51",
"content": "Isn't it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058880483246747600,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:53:00",
"content": "",
"attachments": [
{
"id": 1058880483078967300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058880483078967326/Screenshot_20221231-235247_Discord.jpg",
"fileName": "Screenshot_20221231-235247_Discord.jpg",
"fileSizeBytes": 29263
}
],
"mentions": [],
"reference": null
},
{
"id": 1058880521213591700,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:53:09",
"content": "You put x-4 two times",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058880708204044400,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/31/2022 17:53:53",
"content": "if x<0 that means that 2x< 0 (equivalence)",
"attachments": [],
"mentions": [
{
"id": 784844454330368000,
"name": "Jennifer~",
"discriminator": "2969",
"nickname": "Jennifer~",
"isBot": false
}
],
"reference": null
},
{
"id": 1058880915805323300,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/31/2022 17:54:43",
"content": "i know , you need to analyze all the possibilities",
"attachments": [],
"mentions": [
{
"id": 784844454330368000,
"name": "Jennifer~",
"discriminator": "2969",
"nickname": "Jennifer~",
"isBot": false
}
],
"reference": null
},
{
"id": 1058880980460523500,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:54:58",
"content": "Hmm I see",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058881052573180000,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/31/2022 17:55:15",
"content": "i didn't finish tho",
"attachments": [],
"mentions": [
{
"id": 510789298321096700,
"name": "TeXit",
"discriminator": "0796",
"nickname": "TeXit",
"isBot": true
}
],
"reference": null
},
{
"id": 1058881114321723500,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:55:30",
"content": "Oh okay I'm waiting haha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058881306655723600,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:56:16",
"content": "Deja nta marocain it's cool",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058881383621214200,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 17:56:34",
"content": "I just saw it 😆",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058882021964914800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "12/31/2022 17:59:07",
"content": "**Mehdi\\_Moulati**",
"attachments": [
{
"id": 1058882021792952300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1058882021792952370/942843959783333890.png",
"fileName": "942843959783333890.png",
"fileSizeBytes": 30924
}
],
"mentions": [],
"reference": null
},
{
"id": 1058882177321930800,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/31/2022 17:59:44",
"content": "so x between 0 and 4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058882330988658700,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 18:00:20",
"content": "Hmmm I see",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058882366761877500,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 18:00:29",
"content": "I just got it !!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058882549474136200,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/31/2022 18:01:12",
"content": "but before doing any of these , you have to draw this table",
"attachments": [],
"mentions": [
{
"id": 329571312240558100,
"name": "ImFlower",
"discriminator": "0966",
"nickname": "ImFlower",
"isBot": false
}
],
"reference": null
},
{
"id": 1058882687428985000,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/31/2022 18:01:45",
"content": "to know when |x²-5x| = x² - 5x and when it's not",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058882756609855500,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/31/2022 18:02:02",
"content": "same thing with |3x-x²|",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058882865938563100,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/31/2022 18:02:28",
"content": "table of signs",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058882885274325100,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 18:02:32",
"content": "Ofc",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058882929478078600,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "12/31/2022 18:02:43",
"content": "im gonna try learning this but sadly my clock is ticking for exam",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058882987330113500,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "12/31/2022 18:02:57",
"content": "thank you so much for the help guys",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058883080133284000,
"author_id": 784844454330368000,
"author_name": "Jennifer~",
"timestamp": "12/31/2022 18:03:19",
"content": "No problem , good luck man 🤍",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058883159044935700,
"author_id": 329571312240558100,
"author_name": "ImFlower",
"timestamp": "12/31/2022 18:03:38",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058883161930604500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "12/31/2022 18:03:38",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
5af26381c38c4cf490dc3149389ee44d
|
200,456 |
[
{
"id": 1058883196474888200,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/31/2022 18:03:47",
"content": "anytime",
"attachments": [],
"mentions": [
{
"id": 329571312240558100,
"name": "ImFlower",
"discriminator": "0966",
"nickname": "ImFlower",
"isBot": false
}
],
"reference": null
},
{
"id": 1058883214283903000,
"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "12/31/2022 18:03:51",
"content": "and good luck",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1058998918668619900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 01:43:37",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059001227431649300,
"author_id": 539781576238825500,
"author_name": "Who Knows",
"timestamp": "01/01/2023 01:52:47",
"content": "",
"attachments": [
{
"id": 1059001227217731700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059001227217731755/IMG_0271.jpg",
"fileName": "IMG_0271.jpg",
"fileSizeBytes": 317154
}
],
"mentions": [],
"reference": null
},
{
"id": 1059001229977591900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 01:52:48",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1059001227431649300,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1059001246180184000,
"author_id": 539781576238825500,
"author_name": "Who Knows",
"timestamp": "01/01/2023 01:52:52",
"content": "How to compare it through graph?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059001329256759300,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "01/01/2023 01:53:12",
"content": ",rotate",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059001332322795500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 01:53:12",
"content": "",
"attachments": [
{
"id": 1059001332146647000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059001332146647050/362794394887127042.png",
"fileName": "362794394887127042.png",
"fileSizeBytes": 329082
}
],
"mentions": [],
"reference": null
},
{
"id": 1059001437469818900,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "01/01/2023 01:53:37",
"content": "do you what standard deviation is?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059001461620609000,
"author_id": 539781576238825500,
"author_name": "Who Knows",
"timestamp": "01/01/2023 01:53:43",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059001652461436900,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "01/01/2023 01:54:29",
"content": "Then it shouldn't be that hard plus the values are given so you can just calculate the standard deviation right?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059001714742673400,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "01/01/2023 01:54:44",
"content": "1 and 3 are identical, so logically they cannot be the correct answer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059001853708349400,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "01/01/2023 01:55:17",
"content": "5 is not very deviated so not that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059001899099115500,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "01/01/2023 01:55:28",
"content": "Looking at them (4) seems to have the largest spread so it should be 4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059002032561864800,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "01/01/2023 01:55:59",
"content": "So worth considering that 2 has double the value of most of them, so it has double the sd",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059002204054372500,
"author_id": 539781576238825500,
"author_name": "Who Knows",
"timestamp": "01/01/2023 01:56:40",
"content": "I know but how can I tell whether 2 or 4 is larger?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059002220219224000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "01/01/2023 01:56:44",
"content": "4 has a bit more variance than most of the others, but not *double*",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059002388100419600,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "01/01/2023 01:57:24",
"content": "huh? sd is how much the data varies from the mean so, 2 will have higher mean also",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059002483885740000,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "01/01/2023 01:57:47",
"content": "and hence the sd won't be double",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059002564860977400,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "01/01/2023 01:58:06",
"content": "The mean would be the same.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059002924874875000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "01/01/2023 01:59:32",
"content": "Useful is the wikipedia page:",
"attachments": [
{
"id": 1059002924698705900,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059002924698705980/Screenshot_20230101_015844_Chrome.jpg",
"fileName": "Screenshot_20230101_015844_Chrome.jpg",
"fileSizeBytes": 171534
}
],
"mentions": [],
"reference": null
},
{
"id": 1059003107369029600,
"author_id": 539781576238825500,
"author_name": "Who Knows",
"timestamp": "01/01/2023 02:00:16",
"content": "Can someone answer this?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059003261069316200,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "01/01/2023 02:00:52",
"content": "2 has double the sd of most of the others.\n4 has a slightly higher sd, but not *double*.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059003438421262300,
"author_id": 539781576238825500,
"author_name": "Who Knows",
"timestamp": "01/01/2023 02:01:35",
"content": "well, so you mean the answer is 2?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059003704117833700,
"author_id": 539781576238825500,
"author_name": "Who Knows",
"timestamp": "01/01/2023 02:02:38",
"content": "the given answer is 4, which makes me confuse",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059003904072880100,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "01/01/2023 02:03:26",
"content": "Fair enough! I am confused as well then.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059003956824649700,
"author_id": 260118674306760700,
"author_name": "monikanicity",
"timestamp": "01/01/2023 02:03:38",
"content": "more data points doesn't mean higher sd",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059004002202816500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "01/01/2023 02:03:49",
"content": ":thonk:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059004012638253000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "01/01/2023 02:03:51",
"content": "its the same distribution",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059004040073199700,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "01/01/2023 02:03:58",
"content": "sd is the same :thonk:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059004075674456000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "01/01/2023 02:04:06",
"content": "Oh haha. Yeah I see my mix up now.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059004108163514400,
"author_id": 260118674306760700,
"author_name": "monikanicity",
"timestamp": "01/01/2023 02:04:14",
"content": "2 and 1 should be identical, unless you're using sample sd in which case 1 is slightly larger",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059004258546110500,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "01/01/2023 02:04:50",
"content": "I mean, it is tabular data might as well compute the variance instead of looking at them",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059004291307815000,
"author_id": 260118674306760700,
"author_name": "monikanicity",
"timestamp": "01/01/2023 02:04:58",
"content": "But in any case 4 is just 2 but a little more spread out",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059004339512950800,
"author_id": 260118674306760700,
"author_name": "monikanicity",
"timestamp": "01/01/2023 02:05:09",
"content": "on the right tail",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059004357133226000,
"author_id": 539781576238825500,
"author_name": "Who Knows",
"timestamp": "01/01/2023 02:05:14",
"content": "doesn't 2 has double sd of 1?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059004425001238700,
"author_id": 260118674306760700,
"author_name": "monikanicity",
"timestamp": "01/01/2023 02:05:30",
"content": "why would it?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059004600792928400,
"author_id": 539781576238825500,
"author_name": "Who Knows",
"timestamp": "01/01/2023 02:06:12",
"content": "oh nvm, it's not data got double...",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059004917756473300,
"author_id": 260118674306760700,
"author_name": "monikanicity",
"timestamp": "01/01/2023 02:07:27",
"content": "yeah if all the data points got doubled then it would",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059005067044327600,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "01/01/2023 02:08:03",
"content": "Like if everybody suddenly reported numbers that were twice as high, the sd would double and the distribution would look more spread",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059005197529120800,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "01/01/2023 02:08:34",
"content": "But they're not. Everybody is reporting the usual numbers, they're just getting twice as many people",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059005287178190800,
"author_id": 260118674306760700,
"author_name": "monikanicity",
"timestamp": "01/01/2023 02:08:55",
"content": "ye",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059005344610779100,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "01/01/2023 02:09:09",
"content": "Except for 4, where some people are reporting further numbers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059005393554112600,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "01/01/2023 02:09:21",
"content": "That makes the sd higher",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059005524269600900,
"author_id": 539781576238825500,
"author_name": "Who Knows",
"timestamp": "01/01/2023 02:09:52",
"content": "does 3 has same sd as 1?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059005714338697200,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "01/01/2023 02:10:37",
"content": "They are exactly the same distribution, so yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059005794370207700,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "01/01/2023 02:10:56",
"content": "Note 2 is also the same distribution, even though they have twice as many answers.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059006070665777200,
"author_id": 539781576238825500,
"author_name": "Who Knows",
"timestamp": "01/01/2023 02:12:02",
"content": "so basically 1,2,3 is identical and 5 is more concentrated. Therefore the answer is 4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059006320117825500,
"author_id": 539781576238825500,
"author_name": "Who Knows",
"timestamp": "01/01/2023 02:13:02",
"content": "I got it now, thanks for the help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059006374983503900,
"author_id": 539781576238825500,
"author_name": "Who Knows",
"timestamp": "01/01/2023 02:13:15",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059006377399439400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 02:13:15",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
bf9fd35f6a0d47478647ad36768922b0
|
200,457 |
[
{
"id": 1059006629258989600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 02:14:15",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059007781610455200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:18:50",
"content": "",
"attachments": [
{
"id": 1059007781216206800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059007781216206848/image.png",
"fileName": "image.png",
"fileSizeBytes": 83664
}
],
"mentions": [],
"reference": null
},
{
"id": 1059007783871189000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 02:18:51",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1059007781610455200,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1059007809745854500,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:18:57",
"content": "how would I do this question?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059008045780320300,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:19:53",
"content": "I have simplified this to √72 * 2/ √48 * 20",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059008179754766300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:20:25",
"content": "do you mean $\\frac{2 \\sqrt{72}}{20 \\sqrt{48}}$?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059008187350655000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 02:20:27",
"content": "**Ann**",
"attachments": [
{
"id": 1059008187161923600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059008187161923584/183668144404037632.png",
"fileName": "183668144404037632.png",
"fileSizeBytes": 10165
}
],
"mentions": [],
"reference": null
},
{
"id": 1059008195869298700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:20:29",
"content": "okay, yeah, that tracks.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059008241222295600,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:20:40",
"content": "yes",
"attachments": [],
"mentions": [
{
"id": 510789298321096700,
"name": "TeXit",
"discriminator": "0796",
"nickname": "TeXit",
"isBot": true
}
],
"reference": null
},
{
"id": 1059008260482539600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:20:44",
"content": "do you see anything else that could be cancelled out immediately at this point?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059008276550930400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:20:48",
"content": "because there is at least one such thing.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059008427839459300,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:21:24",
"content": "hmm, well I don't think I see anything.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059008531140968400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:21:49",
"content": "look at the fraction carefully",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059008578909913200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:22:00",
"content": "you have the numerator and denominator both already written as products",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059008619036819500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:22:10",
"content": "also there is a factor of 2 on the top and a factor of 20 on the bottom",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059008632278229000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:22:13",
"content": "what could you do with those?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059008865779318800,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:23:09",
"content": "multiply by 10?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059008898138390500,
"author_id": 539805653267513340,
"author_name": "haygiya",
"timestamp": "01/01/2023 02:23:16",
"content": "divide both sides by 2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059008970548846600,
"author_id": 539805653267513340,
"author_name": "haygiya",
"timestamp": "01/01/2023 02:23:34",
"content": ":WanWan:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059009035128545400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:23:49",
"content": "no need to multiply by anything here...",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059009047250084000,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:23:52",
"content": "but why would we divide both sides by 2?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059009069484101600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:23:57",
"content": "okay",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059009103747362800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:24:05",
"content": "do you agree that 2/20 simplifies to 1/10?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059009146869002200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:24:16",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059009227600973800,
"author_id": 539805653267513340,
"author_name": "haygiya",
"timestamp": "01/01/2023 02:24:35",
"content": "$\\frac{\\sqrt{72}}{10\\sqrt{48}}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059009288879743000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 02:24:49",
"content": "**haygiya**",
"attachments": [
{
"id": 1059009288678420500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059009288678420520/539805653267513344.png",
"fileName": "539805653267513344.png",
"fileSizeBytes": 8999
}
],
"mentions": [],
"reference": null
},
{
"id": 1059009309972889600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:24:54",
"content": "yeah, so now you have that ^",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059009357263679600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:25:06",
"content": "you can treat it as 1/10 * sqrt(72)/sqrt(48) so as to focus on simplifying just the roots",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059009400716656800,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:25:16",
"content": "oh I see",
"attachments": [],
"mentions": [
{
"id": 510789298321096700,
"name": "TeXit",
"discriminator": "0796",
"nickname": "TeXit",
"isBot": true
}
],
"reference": null
},
{
"id": 1059009422942273500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:25:21",
"content": "are you able to simplify $\\sqrt{\\frac{72}{48}}$?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059009430475251800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 02:25:23",
"content": "**Ann**",
"attachments": [
{
"id": 1059009430626250900,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059009430626250833/183668144404037632.png",
"fileName": "183668144404037632.png",
"fileSizeBytes": 12160
}
],
"mentions": [],
"reference": null
},
{
"id": 1059009697379795100,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:26:27",
"content": "√3/2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059009824353947600,
"author_id": 539805653267513340,
"author_name": "haygiya",
"timestamp": "01/01/2023 02:26:57",
"content": "be careful",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059009833698852900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:26:59",
"content": "yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059009859518996500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:27:05",
"content": "\"√3/2\" is ambiguous as-is",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059009927236030500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:27:22",
"content": "you could mean $\\sqrt{\\frac{3}{2}}$ or you could mean $\\frac{\\sqrt{3}}{2}$ but we cannot tell which one it is",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059009936455123000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 02:27:24",
"content": "**Ann**",
"attachments": [
{
"id": 1059009936312512500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059009936312512522/183668144404037632.png",
"fileName": "183668144404037632.png",
"fileSizeBytes": 18716
}
],
"mentions": [],
"reference": null
},
{
"id": 1059009944675942400,
"author_id": 539805653267513340,
"author_name": "haygiya",
"timestamp": "01/01/2023 02:27:26",
"content": "or did you mean \\sqrt{\\frac{3}{2}}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059009959574110200,
"author_id": 539805653267513340,
"author_name": "haygiya",
"timestamp": "01/01/2023 02:27:29",
"content": "yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059009971355910100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:27:32",
"content": "it is better in plaintext to use `sqrt()`",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059009991446646800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:27:37",
"content": "so like, sqrt(3)/2 vs. sqrt(3/2)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059010005333971000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:27:40",
"content": "the difference is more apparent",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059010013538037800,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:27:42",
"content": "oh ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059010037432979600,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:27:48",
"content": "I meant the first one (on the left)",
"attachments": [],
"mentions": [
{
"id": 510789298321096700,
"name": "TeXit",
"discriminator": "0796",
"nickname": "TeXit",
"isBot": true
}
],
"reference": null
},
{
"id": 1059010100674691200,
"author_id": 539805653267513340,
"author_name": "haygiya",
"timestamp": "01/01/2023 02:28:03",
"content": "then that's true",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059010201392513200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:28:27",
"content": "so would I multiply it by 10 now?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059010285979054200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:28:47",
"content": "patience",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059010387644792800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:29:11",
"content": "so now we have $\\frac{1}{10} \\cdot \\frac{\\sqrt{3}}{\\sqrt{2}}$, yes?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059010395823689700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 02:29:13",
"content": "**Ann**",
"attachments": [
{
"id": 1059010395559432200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059010395559432193/183668144404037632.png",
"fileName": "183668144404037632.png",
"fileSizeBytes": 10954
}
],
"mentions": [],
"reference": null
},
{
"id": 1059010426366611500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:29:21",
"content": "that's what our original expression boiled down to",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059010431735304200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:29:22",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059010441164103700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:29:24",
"content": "okay",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059010475234443300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:29:32",
"content": "typically you might be asked to rationalize the denominator in problems like this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059010517575946400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:29:42",
"content": "or _expected_ to, as it were",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059010557300179000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:29:52",
"content": "are you able to do that yourself?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059010569312678000,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:29:55",
"content": "don't think I have learnt that yet.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059010641756700800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:30:12",
"content": "you haven't?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059010692990111900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:30:24",
"content": "you're learning about radicals and simplification of things involving them.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059010775764705300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:30:44",
"content": "one would think that this is something they teach early on in this topic, no?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059010793846362200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:30:48",
"content": "oh you mean \"rationalisation\" as in removing the radical?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059010848410050700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:31:01",
"content": "\"removing the radical\" is not how i would've put it.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059010852335919100,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:31:02",
"content": "just not sure what you mean by rationalize",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059010888855736300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:31:11",
"content": "i mean things like going from $\\frac{1}{\\sqrt{2}}$ to $\\frac{\\sqrt{2}}{2}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059010896766193800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 02:31:13",
"content": "**Ann**",
"attachments": [
{
"id": 1059010896585826300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059010896585826324/183668144404037632.png",
"fileName": "183668144404037632.png",
"fileSizeBytes": 11907
}
],
"mentions": [],
"reference": null
},
{
"id": 1059010922515009500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:31:19",
"content": "so that there are no radicals on the bottom",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059011000491315300,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:31:37",
"content": "hmm not sure how to do that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059011097694310500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:32:01",
"content": "well, i guess if you haven't been taught how to do it then you're not expected to.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059011140522364900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:32:11",
"content": "and you can just leave your answer at $\\frac{\\sqrt{3}}{10\\sqrt{2}}$ and be done with it.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059011149091315700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 02:32:13",
"content": "**Ann**",
"attachments": [
{
"id": 1059011148889985000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059011148889985074/183668144404037632.png",
"fileName": "183668144404037632.png",
"fileSizeBytes": 17002
}
],
"mentions": [],
"reference": null
},
{
"id": 1059011225566068900,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:32:31",
"content": "alright thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059011228195881000,
"author_id": 539805653267513340,
"author_name": "haygiya",
"timestamp": "01/01/2023 02:32:32",
"content": "just multiply both sides by $\\sqrt{2}$ :fiona:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059011237066838000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 02:32:34",
"content": "**haygiya**",
"attachments": [
{
"id": 1059011236899082200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059011236899082260/539805653267513344.png",
"fileName": "539805653267513344.png",
"fileSizeBytes": 21909
}
],
"mentions": [],
"reference": null
},
{
"id": 1059011369313243300,
"author_id": 539805653267513340,
"author_name": "haygiya",
"timestamp": "01/01/2023 02:33:05",
"content": "$\\sqrt{2}×\\sqrt{2}=2$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059011378494591000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 02:33:08",
"content": "**haygiya**",
"attachments": [
{
"id": 1059011378297446400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059011378297446440/539805653267513344.png",
"fileName": "539805653267513344.png",
"fileSizeBytes": 4544
}
],
"mentions": [],
"reference": null
},
{
"id": 1059011462334521300,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:33:28",
"content": "oh yes this is the answer infact",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059011532089987100,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:33:44",
"content": "(√6)/20",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059011623672623100,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:34:06",
"content": "was confused about this response...",
"attachments": [],
"mentions": [
{
"id": 510789298321096700,
"name": "TeXit",
"discriminator": "0796",
"nickname": "TeXit",
"isBot": true
}
],
"reference": null
},
{
"id": 1059011690550796400,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:34:22",
"content": "thanks @haygiya",
"attachments": [],
"mentions": [
{
"id": 539805653267513340,
"name": "haygiya",
"discriminator": "7827",
"nickname": "haygiya",
"isBot": false
}
],
"reference": null
},
{
"id": 1059011797790752900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:34:48",
"content": "you were confused about \"and you can just leave it at that and be done with it\"?",
"attachments": [],
"mentions": [
{
"id": 655168192335052800,
"name": "Lex1729",
"discriminator": "7103",
"nickname": "Lex1729",
"isBot": false
}
],
"reference": null
},
{
"id": 1059011934944510000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:35:20",
"content": "it sounds like you lied about not having been taught to rationalize denominators though. if that's your answer key, then surely you are expected to know how to do it...",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059011948223680600,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:35:23",
"content": "no with the answer itself, It didn't match up with the answer in my answer sheet.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059012025965088800,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:35:42",
"content": "well I wasn't taught it.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059012119930085400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:36:04",
"content": "perhaps, then, you were expected to take a different route entirely.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059012150049394700,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:36:12",
"content": "perhaps",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059012255401914400,
"author_id": 539805653267513340,
"author_name": "haygiya",
"timestamp": "01/01/2023 02:36:37",
"content": "there's nothing to be taught of if you can multiply square roots with square roots i think",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059012299752472600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:36:47",
"content": "something like this:\n\n$\\frac{\\sqrt{24} \\cdot 2 \\cdot \\sqrt{3}}{4 \\cdot \\sqrt{6} \\cdot 5 \\cdot \\sqrt{8}} = \\frac{2 \\cdot \\sqrt{6} \\cdot 2 \\cdot \\sqrt{3}}{4 \\cdot \\sqrt{6} \\cdot 5 \\cdot 2 \\cdot \\sqrt{2}}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059012308308860900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 02:36:49",
"content": "**Ann**",
"attachments": [
{
"id": 1059012308111720400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059012308111720469/183668144404037632.png",
"fileName": "183668144404037632.png",
"fileSizeBytes": 17554
}
],
"mentions": [],
"reference": null
},
{
"id": 1059012439800287200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:37:21",
"content": "yeah that's what I thought, it seemed pretty simple.",
"attachments": [],
"mentions": [
{
"id": 539805653267513340,
"name": "haygiya",
"discriminator": "7827",
"nickname": "haygiya",
"isBot": false
}
],
"reference": null
},
{
"id": 1059012460549517300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:37:26",
"content": "well, ok, no, this will still have you rationalize stuff afterward, unless you think to split the sqrt(6) in denom as sqrt(3)*sqrt(2) instead of cancelling it with the sqrt(6) up top",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059012574076743700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:37:53",
"content": "granted, there's nothing _wrong_ with such a cancellation, but you have to jump through some hoops if you really have had the rationalization technique withheld from you by a bad teacher.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059012829690216600,
"author_id": 758216381337436200,
"author_name": "Pyp",
"timestamp": "01/01/2023 02:38:54",
"content": "May I ask which question is being solved ?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059012893909200900,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:39:09",
"content": ".",
"attachments": [],
"mentions": [
{
"id": 510789298321096700,
"name": "TeXit",
"discriminator": "0796",
"nickname": "TeXit",
"isBot": true
}
],
"reference": null
},
{
"id": 1059012958983831600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:39:24",
"content": "simplifying $\\frac{\\sqrt{24} \\cdot 2 \\sqrt{3}}{4 \\sqrt{6} \\cdot 5 \\sqrt{8}}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059012966588096500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 02:39:26",
"content": "**Ann**",
"attachments": [
{
"id": 1059012966399361000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059012966399361034/183668144404037632.png",
"fileName": "183668144404037632.png",
"fileSizeBytes": 11674
}
],
"mentions": [],
"reference": null
},
{
"id": 1059012986183876700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:39:31",
"content": "this was the problem as stated at the start",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059013002252267500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:39:35",
"content": "@Pyp",
"attachments": [],
"mentions": [
{
"id": 758216381337436200,
"name": "Pyp",
"discriminator": "9254",
"nickname": "Pyp",
"isBot": false
}
],
"reference": null
},
{
"id": 1059013130396651600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 02:40:05",
"content": "we are currently running up against the fact that lex1729 has not learned how to rationalize denominators, whether through their teacher's fault or their own.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059013195349643300,
"author_id": 539805653267513340,
"author_name": "haygiya",
"timestamp": "01/01/2023 02:40:21",
"content": "lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059013216514101200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:40:26",
"content": "hahahahaha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059013250412445700,
"author_id": 446704648485863400,
"author_name": "Castroploiin¹",
"timestamp": "01/01/2023 02:40:34",
"content": "It's barely something to be taught",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059013548409372700,
"author_id": 758216381337436200,
"author_name": "Pyp",
"timestamp": "01/01/2023 02:41:45",
"content": "I dont think rationalizing is that important if you can just simplify first",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059014483193909200,
"author_id": 758216381337436200,
"author_name": "Pyp",
"timestamp": "01/01/2023 02:45:28",
"content": "I mean $\\sqrt{24}$ $\\implies$ $\\sqrt{4 \\cdot 6}$. Then the numerator simplifies to 2 * $\\sqrt{6} \\cdot 2 \\sqrt{3}$.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059014492878540900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 02:45:30",
"content": "**Pyp**",
"attachments": [
{
"id": 1059014492748521500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059014492748521472/758216381337436190.png",
"fileName": "758216381337436190.png",
"fileSizeBytes": 22396
}
],
"mentions": [],
"reference": null
},
{
"id": 1059014985226916000,
"author_id": 758216381337436200,
"author_name": "Pyp",
"timestamp": "01/01/2023 02:47:28",
"content": "The denominator remains the way to is. $\\therefore$ You have $\\frac{2 * \\sqrt{6} \\cdot 2 \\sqrt{3}}{4 * \\sqrt{6}\\cdot 5\\sqrt{8}}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059015061835894900,
"author_id": 758216381337436200,
"author_name": "Pyp",
"timestamp": "01/01/2023 02:47:46",
"content": "Sorry still learning how to use this bot",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059015857465987100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 02:50:55",
"content": "**Pyp**",
"attachments": [
{
"id": 1059015856992039000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059015856992039042/758216381337436190.png",
"fileName": "758216381337436190.png",
"fileSizeBytes": 26234
}
],
"mentions": [],
"reference": null
},
{
"id": 1059016741814026200,
"author_id": 758216381337436200,
"author_name": "Pyp",
"timestamp": "01/01/2023 02:54:26",
"content": "The 2 divides the 4 below to remain with 2 below so you get $\\frac {\\sqrt{6}\\cdot 2\\sqrt{3}}{2 \\cdot\\sqrt{6}\\cdot 5\\sqrt{8}}$. The 2 below divides the 2 above to eventually become $\\frac{\\sqrt{3}}{5\\cdot\\sqrt{8}}$. You can leave your answer there or if you want to rationalize it becomes $\\frac{\\sqrt{24}}{40} \\implies \\frac{\\sqrt{6}}{20}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059017117820780700,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:55:56",
"content": "oh I see",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059017139559858300,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 02:56:01",
"content": "thanks @Pyp",
"attachments": [],
"mentions": [
{
"id": 758216381337436200,
"name": "Pyp",
"discriminator": "9254",
"nickname": "Pyp",
"isBot": false
}
],
"reference": null
},
{
"id": 1059017143754178600,
"author_id": 539805653267513340,
"author_name": "haygiya",
"timestamp": "01/01/2023 02:56:02",
"content": "wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059017287392317400,
"author_id": 539805653267513340,
"author_name": "haygiya",
"timestamp": "01/01/2023 02:56:36",
"content": "last 2nd step is wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059017525834301600,
"author_id": 539805653267513340,
"author_name": "haygiya",
"timestamp": "01/01/2023 02:57:33",
"content": "$\\frac{\\sqrt{3}}{5\\sqrt{8}} \\ne \\frac{\\sqrt{24}}{5}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059017535439261700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 02:57:36",
"content": "**haygiya**",
"attachments": [
{
"id": 1059017535263080600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059017535263080528/539805653267513344.png",
"fileName": "539805653267513344.png",
"fileSizeBytes": 9503
}
],
"mentions": [],
"reference": null
},
{
"id": 1059017616435445800,
"author_id": 758216381337436200,
"author_name": "Pyp",
"timestamp": "01/01/2023 02:57:55",
"content": "try to correct me. I mean am learning",
"attachments": [],
"mentions": [
{
"id": 539805653267513340,
"name": "haygiya",
"discriminator": "7827",
"nickname": "haygiya",
"isBot": false
}
],
"reference": null
},
{
"id": 1059017702053773400,
"author_id": 758216381337436200,
"author_name": "Pyp",
"timestamp": "01/01/2023 02:58:15",
"content": "Oh.. seen the mistake sorry",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059017727391572100,
"author_id": 539805653267513340,
"author_name": "haygiya",
"timestamp": "01/01/2023 02:58:21",
"content": ":P",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059017727722913800,
"author_id": 758216381337436200,
"author_name": "Pyp",
"timestamp": "01/01/2023 02:58:21",
"content": "Let me change it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059017881381240800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 02:58:58",
"content": "**Pyp**",
"attachments": [
{
"id": 1059017881184129200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059017881184129114/758216381337436190.png",
"fileName": "758216381337436190.png",
"fileSizeBytes": 75943
}
],
"mentions": [],
"reference": null
},
{
"id": 1059018037572943900,
"author_id": 758216381337436200,
"author_name": "Pyp",
"timestamp": "01/01/2023 02:59:35",
"content": "I think thats it...",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059018088646975500,
"author_id": 758216381337436200,
"author_name": "Pyp",
"timestamp": "01/01/2023 02:59:47",
"content": "@Lex1729 Made the necessary changes so review it.",
"attachments": [],
"mentions": [
{
"id": 655168192335052800,
"name": "Lex1729",
"discriminator": "7103",
"nickname": "Lex1729",
"isBot": false
}
],
"reference": null
},
{
"id": 1059018864022786000,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 03:02:52",
"content": "oh ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059018945136435300,
"author_id": 758216381337436200,
"author_name": "Pyp",
"timestamp": "01/01/2023 03:03:12",
"content": "Hence you can ```.close``` if you want",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059019026984075300,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 03:03:31",
"content": "thanks for helping out guys, really appreciate it.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059019060769194000,
"author_id": 758216381337436200,
"author_name": "Pyp",
"timestamp": "01/01/2023 03:03:39",
"content": "Anytime",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059019075927408800,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 03:03:43",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059019078423035900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 03:03:43",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
87f313e3cfc7428e90c93b4baa99ba3a
|
200,458 |
[
{
"id": 1059025588301615200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 03:29:35",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059029480817041400,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 03:45:04",
"content": "how would I do this?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059029482708672500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 03:45:04",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1059029480817041400,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1059029505978663000,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 03:45:10",
"content": "",
"attachments": [
{
"id": 1059029505706037200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059029505706037288/image.png",
"fileName": "image.png",
"fileSizeBytes": 13771
}
],
"mentions": [],
"reference": null
},
{
"id": 1059029699730350100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:45:56",
"content": "@Lex1729 have you made any progress thus far?",
"attachments": [],
"mentions": [
{
"id": 655168192335052800,
"name": "Lex1729",
"discriminator": "7103",
"nickname": "Lex1729",
"isBot": false
}
],
"reference": null
},
{
"id": 1059029742898122900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:46:06",
"content": "this problem seems similar to the last one you posted, just with different numbers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059029878311223300,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 03:46:38",
"content": "I have simplified it to 3(square root of 105) / 4(square root of 280)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059029948859424900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:46:55",
"content": "3sqrt(105)/(4sqrt(280)) ...",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059030021487988700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:47:12",
"content": "well, okay, you've made your own life slightly harder, but not in an unrecoverable fashion.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059030078392127500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:47:26",
"content": "would you like to continue from what you did, or would you like me to show you a potentially easier route?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059030138186105000,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 03:47:40",
"content": "preferably the easier route",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059030247175094300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:48:06",
"content": "right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059030281039904900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:48:14",
"content": "factor the radicals",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059030348127801300,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 03:48:30",
"content": "all of them?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059030355790798800,
"author_id": 320059239739424800,
"author_name": "_____",
"timestamp": "01/01/2023 03:48:32",
"content": "cant u factor from here?",
"attachments": [],
"mentions": [
{
"id": 183668144404037630,
"name": "Ann",
"discriminator": "0413",
"nickname": "Ann",
"isBot": false
}
],
"reference": null
},
{
"id": 1059030357556596700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:48:33",
"content": "$\\frac{\\sqrt{3} \\cdot \\sqrt{7} \\cdot 3 \\cdot \\sqrt{5}}{4 \\cdot \\sqrt{4} \\cdot \\sqrt{7} \\cdot \\sqrt{2} \\cdot \\sqrt{5}}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059030365639024800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 03:48:35",
"content": "**Ann**",
"attachments": [
{
"id": 1059030365437710300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059030365437710346/183668144404037632.png",
"fileName": "183668144404037632.png",
"fileSizeBytes": 8306
}
],
"mentions": [],
"reference": null
},
{
"id": 1059030395842203600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:48:42",
"content": "you can but it will be more painful",
"attachments": [],
"mentions": [
{
"id": 320059239739424800,
"name": "_____",
"discriminator": "6266",
"nickname": "_____",
"isBot": false
}
],
"reference": null
},
{
"id": 1059030405648490500,
"author_id": 320059239739424800,
"author_name": "_____",
"timestamp": "01/01/2023 03:48:44",
"content": "how did u type that so quickly?",
"attachments": [],
"mentions": [
{
"id": 183668144404037630,
"name": "Ann",
"discriminator": "0413",
"nickname": "Ann",
"isBot": false
}
],
"reference": null
},
{
"id": 1059030413873512400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:48:46",
"content": "why not factor small numbers instead of big ones",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059030445641171000,
"author_id": 320059239739424800,
"author_name": "_____",
"timestamp": "01/01/2023 03:48:54",
"content": "true",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059030481926107300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:49:02",
"content": "lots of practice, generally high wpm...",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059030543347491000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:49:17",
"content": "@Lex1729 do you understand what i've done here?",
"attachments": [],
"mentions": [
{
"id": 655168192335052800,
"name": "Lex1729",
"discriminator": "7103",
"nickname": "Lex1729",
"isBot": false
}
],
"reference": null
},
{
"id": 1059030692354326500,
"author_id": 320059239739424800,
"author_name": "_____",
"timestamp": "01/01/2023 03:49:52",
"content": "now, do u just cancel the sqrt(5) and sqrt(7)?",
"attachments": [],
"mentions": [
{
"id": 510789298321096700,
"name": "TeXit",
"discriminator": "0796",
"nickname": "TeXit",
"isBot": true
}
],
"reference": null
},
{
"id": 1059030811854245900,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 03:50:21",
"content": "not really, which radicals did you factor?",
"attachments": [],
"mentions": [
{
"id": 183668144404037630,
"name": "Ann",
"discriminator": "0413",
"nickname": "Ann",
"isBot": false
}
],
"reference": null
},
{
"id": 1059030883962724400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:50:38",
"content": "all of them!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059030915210301400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:50:46",
"content": "except for sqrt(5), since 5 is prime",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059030985687179300,
"author_id": 320059239739424800,
"author_name": "_____",
"timestamp": "01/01/2023 03:51:02",
"content": "$\\sqrt{28}=\\sqrt{7}\\cdot\\sqrt{4}$ for example",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059030994205806600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 03:51:04",
"content": "**\\_\\_\\_\\_\\_**",
"attachments": [
{
"id": 1059030994000289800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059030994000289822/320059239739424768.png",
"fileName": "320059239739424768.png",
"fileSizeBytes": 10126
}
],
"mentions": [],
"reference": null
},
{
"id": 1059031018465677400,
"author_id": 320059239739424800,
"author_name": "_____",
"timestamp": "01/01/2023 03:51:10",
"content": "one of the factors ann did",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059031210510254100,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "01/01/2023 03:51:56",
"content": "In general we say that exponents distribute over products",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059031292492128300,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 03:52:15",
"content": "but how did you factor the square root of 21?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059031309634261000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:52:20",
"content": "21=3*7",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059031361400352800,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "01/01/2023 03:52:32",
"content": "Which gets funky with complex and negative numbers but for what you're doing it should work",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059031403947364400,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 03:52:42",
"content": "so they don't have to be square numbers?",
"attachments": [],
"mentions": [
{
"id": 183668144404037630,
"name": "Ann",
"discriminator": "0413",
"nickname": "Ann",
"isBot": false
}
],
"reference": null
},
{
"id": 1059031471022674000,
"author_id": 320059239739424800,
"author_name": "_____",
"timestamp": "01/01/2023 03:52:58",
"content": "$\\sqrt{21}=\\sqrt{7}\\cdot\\sqrt{3}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059031480195620900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 03:53:00",
"content": "**\\_\\_\\_\\_\\_**",
"attachments": [
{
"id": 1059031480032038900,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059031480032038973/320059239739424768.png",
"fileName": "320059239739424768.png",
"fileSizeBytes": 5537
}
],
"mentions": [],
"reference": null
},
{
"id": 1059031553562382300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:53:18",
"content": "sure they don't. you can still do the factorization thing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059031611192127500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:53:31",
"content": "it might fail to be useful but there's nothing wrong with that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059031615612924000,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 03:53:33",
"content": "yeah but I'm usually used to factoring using square numbers with these types of questions",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059031683497738200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 03:53:49",
"content": "but anyway how would I progress now?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059031749977440300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:54:05",
"content": "well now you have a fraction in which the top and bottom are products of many small factors",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059031878008578000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:54:35",
"content": "and there are some obvious factors that can be cancelled out",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059031923097358300,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 03:54:46",
"content": "yes root 5",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059031936502341600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:54:49",
"content": "sqrt(5), yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059031943154511900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:54:51",
"content": "there's one more",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059031952172273700,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 03:54:53",
"content": "and root 7",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059031962016288800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:54:55",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059031977619099600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:54:59",
"content": "so what does that leave you with?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059032107747385500,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 03:55:30",
"content": "3 multiplied by root 3 on the numerator",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059032208012222500,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 03:55:54",
"content": "and 4 multiplied by root 4 multipled by root 2 on the denominator",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059032341772779500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:56:26",
"content": "you know you don't have to type things out _in words_ like that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059032395208196200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:56:38",
"content": "it's fine to say \"3 sqrt(3) on the numerator, and 4 sqrt(4) sqrt(2) on the denominator\"",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059032409980547200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:56:42",
"content": "also, one small thing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059032422072713200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 03:56:45",
"content": "I don't know how to use TeXit",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059032454943477900,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 03:56:53",
"content": "I prefer words.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059032491501047900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:57:01",
"content": "`sqrt()` is a fine plaintext version of the square root symbol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059032493988249600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:57:02",
"content": "but ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059032508903198700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:57:05",
"content": "one of these factors can be simplified by itself",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059032670933356500,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 03:57:44",
"content": "you mean by dividing both sides?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059032745973657700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:58:02",
"content": "no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059032786553540700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:58:12",
"content": "...okay let me just point to it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059032791574126600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:58:13",
"content": "sqrt(4)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059032815720726500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:58:19",
"content": "can be written in a less unfamiliar form",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059032895420899300,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 03:58:38",
"content": "2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059033019417112700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:59:07",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059033024118935600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:59:08",
"content": "you now have $\\frac{3\\sqrt{3}}{8 \\sqrt{2}}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059033034105569400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 03:59:11",
"content": "**Ann**",
"attachments": [
{
"id": 1059033033774223400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059033033774223371/183668144404037632.png",
"fileName": "183668144404037632.png",
"fileSizeBytes": 8768
}
],
"mentions": [],
"reference": null
},
{
"id": 1059033150296162300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:59:38",
"content": "all that remains is to rationalize the denominator, despite you not having been taught how to do it -- but others appear to have explained it to you with some success.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059033170202333300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 03:59:43",
"content": "if you need it explained again, tell me.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059033380949332000,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 04:00:33",
"content": "yeah I'd like clarification on that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059033434498027500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 04:00:46",
"content": "it boils down to $\\frac{1}{\\sqrt{x}} = \\frac{\\sqrt{x}}{x}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059033442156806300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 04:00:48",
"content": "**Ann**",
"attachments": [
{
"id": 1059033441976463400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059033441976463420/183668144404037632.png",
"fileName": "183668144404037632.png",
"fileSizeBytes": 8641
}
],
"mentions": [],
"reference": null
},
{
"id": 1059033460515287000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 04:00:52",
"content": "do you understand why this identity is true for all x > 0?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059033527531864200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 04:01:08",
"content": "no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059033652517933000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 04:01:38",
"content": "$\\frac{1}{\\sqrt{x}} = \\frac{1 \\cdot \\sqrt{x}}{\\sqrt{x} \\cdot \\sqrt{x}} = \\frac{\\sqrt{x}}{(\\sqrt{x})^2} = \\frac{\\sqrt{x}}{x}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059033661187571700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 04:01:40",
"content": "**Ann**",
"attachments": [
{
"id": 1059033661149810700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059033661149810729/183668144404037632.png",
"fileName": "183668144404037632.png",
"fileSizeBytes": 8286
}
],
"mentions": [],
"reference": null
},
{
"id": 1059033664903729200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 04:01:41",
"content": "does that make it clearer?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059033772642816100,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 04:02:07",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059033894084686000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 04:02:36",
"content": "okay",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059034027442589700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 04:03:08",
"content": "do you see how to proceed with rationalizing the denominator for $\\frac{3 \\sqrt{3}}{8 \\sqrt{2}}$?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059034036305150000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 04:03:10",
"content": "**Ann**",
"attachments": [
{
"id": 1059034036154159100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059034036154159124/183668144404037632.png",
"fileName": "183668144404037632.png",
"fileSizeBytes": 20017
}
],
"mentions": [],
"reference": null
},
{
"id": 1059034047311003600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 04:03:12",
"content": "or would you like some pointers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059034229796786200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 04:03:56",
"content": "I'd prefer some pointers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059034400513339400,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 04:04:36",
"content": "I'll come back to this later, just have something else to do. Thanks for helping out though",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059034405613617300,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/01/2023 04:04:38",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059034408545431600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 04:04:38",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
687d32d67e444edda3758082654e7d23
|
200,459 |
[
{
"id": 1059034513881174000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 04:05:04",
"content": "k",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059034557027991600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 04:05:14",
"content": "@Lex1729 if you want, you can ping me for follow-up",
"attachments": [],
"mentions": [
{
"id": 655168192335052800,
"name": "Lex1729",
"discriminator": "7103",
"nickname": "Lex1729",
"isBot": false
}
],
"reference": null
},
{
"id": 1059084996264075300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 07:25:39",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059091325695307900,
"author_id": 985980205405438000,
"author_name": "finalespeed",
"timestamp": "01/01/2023 07:50:49",
"content": "",
"attachments": [
{
"id": 1059091325540122600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059091325540122644/20230101_174302.jpg",
"fileName": "20230101_174302.jpg",
"fileSizeBytes": 211561
}
],
"mentions": [],
"reference": null
},
{
"id": 1059091329650528300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 07:50:49",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1059091325695307900,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1059091378509975600,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "01/01/2023 07:51:01",
"content": ",rotate",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059091382582652900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 07:51:02",
"content": "",
"attachments": [
{
"id": 1059091382343585900,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059091382343585882/411882877933060109.png",
"fileName": "411882877933060109.png",
"fileSizeBytes": 443571
}
],
"mentions": [],
"reference": null
},
{
"id": 1059091488132313100,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "01/01/2023 07:51:27",
"content": "well triple integral",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059091522357825500,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "01/01/2023 07:51:35",
"content": "Dude is gonna post this again and not show exercise 33 and leave again",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059091522517221400,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "01/01/2023 07:51:35",
"content": "and you know the bounds of each variable",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059092425240477700,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "01/01/2023 07:55:11",
"content": "@finalespeed u alive?",
"attachments": [],
"mentions": [
{
"id": 985980205405438000,
"name": "finalespeed",
"discriminator": "3068",
"nickname": "finalespeed",
"isBot": false
}
],
"reference": null
},
{
"id": 1059092562075471900,
"author_id": 985980205405438000,
"author_name": "finalespeed",
"timestamp": "01/01/2023 07:55:43",
"content": "Yea",
"attachments": [],
"mentions": [
{
"id": 411882877933060100,
"name": "Ｈｅｒｅｌｓ",
"discriminator": "1420",
"nickname": "Ｈｅｒｅｌｓ",
"isBot": false
}
],
"reference": null
},
{
"id": 1059092677695635500,
"author_id": 985980205405438000,
"author_name": "finalespeed",
"timestamp": "01/01/2023 07:56:11",
"content": "Post this again?\n\" exercise 33 \" ?",
"attachments": [],
"mentions": [
{
"id": 485164773647056900,
"name": "Gooaaa",
"discriminator": "5829",
"nickname": "Fucktalogist",
"isBot": false
}
],
"reference": null
},
{
"id": 1059092710314737800,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "01/01/2023 07:56:19",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059092758461173800,
"author_id": 985980205405438000,
"author_name": "finalespeed",
"timestamp": "01/01/2023 07:56:30",
"content": "Well ,no 😅",
"attachments": [],
"mentions": [
{
"id": 411882877933060100,
"name": "Ｈｅｒｅｌｓ",
"discriminator": "1420",
"nickname": "Ｈｅｒｅｌｓ",
"isBot": false
}
],
"reference": null
},
{
"id": 1059092787150209000,
"author_id": 985980205405438000,
"author_name": "finalespeed",
"timestamp": "01/01/2023 07:56:37",
"content": "👍",
"attachments": [],
"mentions": [
{
"id": 485164773647056900,
"name": "Gooaaa",
"discriminator": "5829",
"nickname": "Fucktalogist",
"isBot": false
}
],
"reference": null
},
{
"id": 1059092845195186200,
"author_id": 985980205405438000,
"author_name": "finalespeed",
"timestamp": "01/01/2023 07:56:51",
"content": "Oh so u think this is 33?",
"attachments": [],
"mentions": [
{
"id": 485164773647056900,
"name": "Gooaaa",
"discriminator": "5829",
"nickname": "Fucktalogist",
"isBot": false
}
],
"reference": null
},
{
"id": 1059092894625050600,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "01/01/2023 07:57:03",
"content": "No we need exercise 33",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059092968516100200,
"author_id": 985980205405438000,
"author_name": "finalespeed",
"timestamp": "01/01/2023 07:57:20",
"content": "I previpusly used another channel ,where i posted this question and nobody respinded to that \nR u referring to that?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059092990355853400,
"author_id": 985980205405438000,
"author_name": "finalespeed",
"timestamp": "01/01/2023 07:57:25",
"content": "Hmm",
"attachments": [],
"mentions": [
{
"id": 485164773647056900,
"name": "Gooaaa",
"discriminator": "5829",
"nickname": "Fucktalogist",
"isBot": false
}
],
"reference": null
},
{
"id": 1059093034521854000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "01/01/2023 07:57:36",
"content": "Because u didnt show exercise 33",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059093176184488000,
"author_id": 985980205405438000,
"author_name": "finalespeed",
"timestamp": "01/01/2023 07:58:10",
"content": "U mean this one ?",
"attachments": [
{
"id": 1059093175970570400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059093175970570331/rn_image_picker_lib_temp_7a2f64b0-1d2c-43e6-b191-558f20a654a8.jpg",
"fileName": "rn_image_picker_lib_temp_7a2f64b0-1d2c-43e6-b191-558f20a654a8.jpg",
"fileSizeBytes": 661055
}
],
"mentions": [
{
"id": 485164773647056900,
"name": "Gooaaa",
"discriminator": "5829",
"nickname": "Fucktalogist",
"isBot": false
}
],
"reference": null
},
{
"id": 1059093239405228000,
"author_id": 985980205405438000,
"author_name": "finalespeed",
"timestamp": "01/01/2023 07:58:25",
"content": "But i don't remember asking this q here 🤔",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059093269155422300,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "01/01/2023 07:58:32",
"content": ".....",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059093395353649200,
"author_id": 985980205405438000,
"author_name": "finalespeed",
"timestamp": "01/01/2023 07:59:02",
"content": "Hmm\nIm sorry 😞",
"attachments": [],
"mentions": [
{
"id": 485164773647056900,
"name": "Gooaaa",
"discriminator": "5829",
"nickname": "Fucktalogist",
"isBot": false
}
],
"reference": null
},
{
"id": 1059093401930305500,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "01/01/2023 07:59:04",
"content": "Read your own question 53 it says \"Let D be the region in exercise 33.\"",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059093456837935100,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "01/01/2023 07:59:17",
"content": "How can we help u if we don't know exercise 33",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059093456921825400,
"author_id": 985980205405438000,
"author_name": "finalespeed",
"timestamp": "01/01/2023 07:59:17",
"content": "Ah",
"attachments": [],
"mentions": [
{
"id": 485164773647056900,
"name": "Gooaaa",
"discriminator": "5829",
"nickname": "Fucktalogist",
"isBot": false
}
],
"reference": null
},
{
"id": 1059093630880587800,
"author_id": 985980205405438000,
"author_name": "finalespeed",
"timestamp": "01/01/2023 07:59:58",
"content": "Right right , i got u now , really sorry 🥲",
"attachments": [],
"mentions": [
{
"id": 485164773647056900,
"name": "Gooaaa",
"discriminator": "5829",
"nickname": "Fucktalogist",
"isBot": false
}
],
"reference": null
},
{
"id": 1059093651646578800,
"author_id": 304681895994720260,
"author_name": "Sh(adow)",
"timestamp": "01/01/2023 08:00:03",
"content": "..... ah man gotta feel for you",
"attachments": [],
"mentions": [
{
"id": 485164773647056900,
"name": "Gooaaa",
"discriminator": "5829",
"nickname": "Fucktalogist",
"isBot": false
}
],
"reference": null
},
{
"id": 1059093793929957500,
"author_id": 985980205405438000,
"author_name": "finalespeed",
"timestamp": "01/01/2023 08:00:37",
"content": "Now if one of u could be so kind enough ,pls help me with this 🙏",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059093853048676400,
"author_id": 985980205405438000,
"author_name": "finalespeed",
"timestamp": "01/01/2023 08:00:51",
"content": "😔 sorry",
"attachments": [],
"mentions": [
{
"id": 304681895994720260,
"name": "Sh(adow)",
"discriminator": "5917",
"nickname": "Sh(adow)",
"isBot": false
}
],
"reference": null
},
{
"id": 1059097629155397600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 08:15:51",
"content": "@finalespeed Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 985980205405438000,
"name": "finalespeed",
"discriminator": "3068",
"nickname": "finalespeed",
"isBot": false
}
],
"reference": null
},
{
"id": 1059105273228312700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 08:46:14",
"content": "@finalespeed Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 985980205405438000,
"name": "finalespeed",
"discriminator": "3068",
"nickname": "finalespeed",
"isBot": false
}
],
"reference": null
},
{
"id": 1059105825500704800,
"author_id": 985980205405438000,
"author_name": "finalespeed",
"timestamp": "01/01/2023 08:48:26",
"content": "😔",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059105887035347000,
"author_id": 985980205405438000,
"author_name": "finalespeed",
"timestamp": "01/01/2023 08:48:40",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059105890009092200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 08:48:41",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
bc33230935714d9f9d10aebd9cc7b67e
|
200,460 |
[
{
"id": 1059106142216785900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 08:49:41",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059107529667399700,
"author_id": 644587871541526500,
"author_name": "Octanoic",
"timestamp": "01/01/2023 08:55:12",
"content": "X, Y, and Z are 3 points on level ground. Point Y is 2km from X on a bearing of 117degrees, and Z is 5km from X on a bearing of 204 degrees.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059107532196544600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 08:55:12",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1059107529667399700,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1059107561594421200,
"author_id": 644587871541526500,
"author_name": "Octanoic",
"timestamp": "01/01/2023 08:55:19",
"content": "I am very confused upon what to do.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059107596067418100,
"author_id": 644587871541526500,
"author_name": "Octanoic",
"timestamp": "01/01/2023 08:55:28",
"content": "I understand why the question works",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059107615285715100,
"author_id": 644587871541526500,
"author_name": "Octanoic",
"timestamp": "01/01/2023 08:55:32",
"content": "And why the answer is right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059107959990390800,
"author_id": 644587871541526500,
"author_name": "Octanoic",
"timestamp": "01/01/2023 08:56:54",
"content": "But not the bearings.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059109940012265500,
"author_id": 644587871541526500,
"author_name": "Octanoic",
"timestamp": "01/01/2023 09:04:47",
"content": "Please @ me when you are responding",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059112842424488100,
"author_id": 644587871541526500,
"author_name": "Octanoic",
"timestamp": "01/01/2023 09:16:18",
"content": "@Helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059114637485944800,
"author_id": 304681895994720260,
"author_name": "Sh(adow)",
"timestamp": "01/01/2023 09:23:26",
"content": "there is no question in what you have given us tho",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059114662483984500,
"author_id": 304681895994720260,
"author_name": "Sh(adow)",
"timestamp": "01/01/2023 09:23:32",
"content": "so we don't know what we are solving lmao",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059114681819738100,
"author_id": 644587871541526500,
"author_name": "Octanoic",
"timestamp": "01/01/2023 09:23:37",
"content": "ah sorry",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059114692196438000,
"author_id": 304681895994720260,
"author_name": "Sh(adow)",
"timestamp": "01/01/2023 09:23:40",
"content": ":hmmCat:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059114716141727700,
"author_id": 644587871541526500,
"author_name": "Octanoic",
"timestamp": "01/01/2023 09:23:45",
"content": "Trying to find out where the angles are",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059114827810881500,
"author_id": 644587871541526500,
"author_name": "Octanoic",
"timestamp": "01/01/2023 09:24:12",
"content": "forgot to specify",
"attachments": [
{
"id": 1059114827466952800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059114827466952794/Screenshot_20221222_202511.png",
"fileName": "Screenshot_20221222_202511.png",
"fileSizeBytes": 10574
}
],
"mentions": [],
"reference": null
},
{
"id": 1059115327180505100,
"author_id": 644587871541526500,
"author_name": "Octanoic",
"timestamp": "01/01/2023 09:26:11",
"content": "This is as far as I got",
"attachments": [
{
"id": 1059115326702366700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059115326702366720/53170EC8-663B-4EF6-84C6-DA7FEF0854C2.jpg",
"fileName": "53170EC8-663B-4EF6-84C6-DA7FEF0854C2.jpg",
"fileSizeBytes": 3837205
}
],
"mentions": [],
"reference": null
},
{
"id": 1059116192641589400,
"author_id": 644587871541526500,
"author_name": "Octanoic",
"timestamp": "01/01/2023 09:29:37",
"content": "i'm gonna reopen this when I wake up.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059116198958219400,
"author_id": 644587871541526500,
"author_name": "Octanoic",
"timestamp": "01/01/2023 09:29:39",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059116202074587100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 09:29:40",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
af397770dc8f446a9e2fdd489fa32c26
|
200,461 |
[
{
"id": 1059122077405290500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 09:53:00",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059123854666113200,
"author_id": 389189678995079200,
"author_name": "sam.",
"timestamp": "01/01/2023 10:00:04",
"content": "",
"attachments": [
{
"id": 1059123854125051900,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059123854125051964/5F298050-3931-4334-B91C-6F2C1429AF8E.jpg",
"fileName": "5F298050-3931-4334-B91C-6F2C1429AF8E.jpg",
"fileSizeBytes": 4859588
}
],
"mentions": [],
"reference": null
},
{
"id": 1059123859292426400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 10:00:05",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1059123854666113200,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1059123910966263900,
"author_id": 389189678995079200,
"author_name": "sam.",
"timestamp": "01/01/2023 10:00:17",
"content": "for this question, does anyone know hot to use the Casio cg50?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059123950011027500,
"author_id": 389189678995079200,
"author_name": "sam.",
"timestamp": "01/01/2023 10:00:27",
"content": "I can’t find how to model it on the calc",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059127726059028500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 10:15:27",
"content": "@sam. Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 389189678995079200,
"name": "sam.",
"discriminator": "3895",
"nickname": "Liang RuiXing",
"isBot": false
}
],
"reference": null
},
{
"id": 1059135790074048500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 10:47:30",
"content": "@sam. Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 389189678995079200,
"name": "sam.",
"discriminator": "3895",
"nickname": "Liang RuiXing",
"isBot": false
}
],
"reference": null
},
{
"id": 1059140041122779300,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/01/2023 11:04:23",
"content": ",rotate",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059140048454418400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 11:04:25",
"content": "",
"attachments": [
{
"id": 1059140047938523100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059140047938523166/811501664367673354.png",
"fileName": "811501664367673354.png",
"fileSizeBytes": 1726667
}
],
"mentions": [],
"reference": null
},
{
"id": 1059142323545591800,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "01/01/2023 11:13:27",
"content": "",
"attachments": [
{
"id": 1059142323314901100,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059142323314901163/Screenshot_20230101_212713_Discord.jpg",
"fileName": "Screenshot_20230101_212713_Discord.jpg",
"fileSizeBytes": 18610
}
],
"mentions": [],
"reference": null
},
{
"id": 1059143950469955700,
"author_id": 389189678995079200,
"author_name": "sam.",
"timestamp": "01/01/2023 11:19:55",
"content": "?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059143994501779600,
"author_id": 389189678995079200,
"author_name": "sam.",
"timestamp": "01/01/2023 11:20:06",
"content": "this is some homeworks assignments for mocks?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059145619970723800,
"author_id": 590126280289288200,
"author_name": "alihsaas",
"timestamp": "01/01/2023 11:26:33",
"content": "page 7 is probably what you're looking for",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059145639168057500,
"author_id": 590126280289288200,
"author_name": "alihsaas",
"timestamp": "01/01/2023 11:26:38",
"content": "uploading",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059145683757699100,
"author_id": 590126280289288200,
"author_name": "alihsaas",
"timestamp": "01/01/2023 11:26:48",
"content": "",
"attachments": [
{
"id": 1059145683376025600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059145683376025660/Statistics-by-CG50-updated.pdf",
"fileName": "Statistics-by-CG50-updated.pdf",
"fileSizeBytes": 2263828
}
],
"mentions": [],
"reference": null
},
{
"id": 1059145724941570200,
"author_id": 590126280289288200,
"author_name": "alihsaas",
"timestamp": "01/01/2023 11:26:58",
"content": "",
"attachments": [
{
"id": 1059145724723462300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059145724723462215/Screenshot_20230101-182559_Drive.jpg",
"fileName": "Screenshot_20230101-182559_Drive.jpg",
"fileSizeBytes": 172421
}
],
"mentions": [],
"reference": null
},
{
"id": 1059146002919080100,
"author_id": 389189678995079200,
"author_name": "sam.",
"timestamp": "01/01/2023 11:28:05",
"content": "thanks",
"attachments": [],
"mentions": [
{
"id": 590126280289288200,
"name": "alihsaas",
"discriminator": "6662",
"nickname": "alihsaas",
"isBot": false
}
],
"reference": null
},
{
"id": 1059146325721092100,
"author_id": 590126280289288200,
"author_name": "alihsaas",
"timestamp": "01/01/2023 11:29:22",
"content": "nopppe ❤️",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059161103474634900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 12:28:05",
"content": "@sam. Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 389189678995079200,
"name": "sam.",
"discriminator": "3895",
"nickname": "Liang RuiXing",
"isBot": false
}
],
"reference": null
},
{
"id": 1059176205158453400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 13:28:05",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
13895a1814394dafaa7ada092c7b3304
|
200,462 |
[
{
"id": 1059176457177411600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 13:29:05",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059176867854295200,
"author_id": 482115251882557440,
"author_name": "pinguini",
"timestamp": "01/01/2023 13:30:43",
"content": "help please",
"attachments": [
{
"id": 1059176867598454900,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059176867598454904/image.png",
"fileName": "image.png",
"fileSizeBytes": 51146
}
],
"mentions": [],
"reference": null
},
{
"id": 1059176870412832800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 13:30:44",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1059176867854295200,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1059177292590493800,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 13:32:25",
"content": "Ooo incenter is here",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059177543061745700,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 13:33:24",
"content": "Okay incenter is pretty much the point of intersection of all the angle bisectors",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059178038476161200,
"author_id": 482115251882557440,
"author_name": "pinguini",
"timestamp": "01/01/2023 13:35:22",
"content": "ooooh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059178058810143000,
"author_id": 482115251882557440,
"author_name": "pinguini",
"timestamp": "01/01/2023 13:35:27",
"content": "that makes it easier",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059178065055457400,
"author_id": 482115251882557440,
"author_name": "pinguini",
"timestamp": "01/01/2023 13:35:29",
"content": "thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059179479580278800,
"author_id": 482115251882557440,
"author_name": "pinguini",
"timestamp": "01/01/2023 13:41:06",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059179482256249000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 13:41:07",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
a39b1b4d9dbc49fc8087e4342e951bc3
|
200,463 |
[
{
"id": 1059179734547824600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 13:42:07",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059182240464113800,
"author_id": 763812168105459700,
"author_name": "BananaBread",
"timestamp": "01/01/2023 13:52:04",
"content": "",
"attachments": [
{
"id": 1059182240199884900,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059182240199884900/image.png",
"fileName": "image.png",
"fileSizeBytes": 4334
}
],
"mentions": [],
"reference": null
},
{
"id": 1059182243232370800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 13:52:05",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1059182240464113800,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1059182667951767600,
"author_id": 735853690270777300,
"author_name": "EytanSama",
"timestamp": "01/01/2023 13:53:46",
"content": "what have you tried?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059182928741028000,
"author_id": 763812168105459700,
"author_name": "BananaBread",
"timestamp": "01/01/2023 13:54:48",
"content": "i know that 1-cosx is the equivalent of sin^2x",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059182971678105600,
"author_id": 763812168105459700,
"author_name": "BananaBread",
"timestamp": "01/01/2023 13:54:59",
"content": "...",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059183030092181500,
"author_id": 763812168105459700,
"author_name": "BananaBread",
"timestamp": "01/01/2023 13:55:13",
"content": "also i have the answers but i dont really get it",
"attachments": [
{
"id": 1059183029953773600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059183029953773589/image.png",
"fileName": "image.png",
"fileSizeBytes": 52830
}
],
"mentions": [],
"reference": null
},
{
"id": 1059183032541659100,
"author_id": 735853690270777300,
"author_name": "EytanSama",
"timestamp": "01/01/2023 13:55:13",
"content": "no, 1-cos^2 (x) is sin^2 x",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059183186078339200,
"author_id": 763812168105459700,
"author_name": "BananaBread",
"timestamp": "01/01/2023 13:55:50",
"content": "i said 1-cosx not squared",
"attachments": [],
"mentions": [
{
"id": 735853690270777300,
"name": "EytanSama",
"discriminator": "1365",
"nickname": "EytanSama",
"isBot": false
}
],
"reference": null
},
{
"id": 1059183225538359300,
"author_id": 735853690270777300,
"author_name": "EytanSama",
"timestamp": "01/01/2023 13:55:59",
"content": "i know",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059183348783784100,
"author_id": 735853690270777300,
"author_name": "EytanSama",
"timestamp": "01/01/2023 13:56:29",
"content": "sin^2 x does not equal to 1-cosx",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059183402244395100,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "01/01/2023 13:56:41",
"content": "What problem do you have then",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059183537019957200,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "01/01/2023 13:57:13",
"content": "Which part of the answer do you not understand",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059183602581123100,
"author_id": 763812168105459700,
"author_name": "BananaBread",
"timestamp": "01/01/2023 13:57:29",
"content": "well the first step 😅",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059183709921755300,
"author_id": 763812168105459700,
"author_name": "BananaBread",
"timestamp": "01/01/2023 13:57:55",
"content": "are they like- rationalising the denominator?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059183899693035600,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "01/01/2023 13:58:40",
"content": "We are doing it so that we can get 1-cos^2 theta which will become sin^2 theta in the numerator",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059183920404496500,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "01/01/2023 13:58:45",
"content": "Which is same as RHS",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059184044300058600,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "01/01/2023 13:59:14",
"content": "Now will think of a way to eliminate one extra power of sin theta",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059184126000898000,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "01/01/2023 13:59:34",
"content": "But the first step is getting term of sin theta on numerator like it is in RHS",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059184329965711400,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "01/01/2023 14:00:22",
"content": "So we multiplied",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059185002715299800,
"author_id": 763812168105459700,
"author_name": "BananaBread",
"timestamp": "01/01/2023 14:03:03",
"content": "but why only the numerator?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059185204545200300,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "01/01/2023 14:03:51",
"content": "We are multiplying with both numerator and denominator",
"attachments": [],
"mentions": [
{
"id": 763812168105459700,
"name": "BananaBread",
"discriminator": "1428",
"nickname": "BananaBread",
"isBot": false
}
],
"reference": null
},
{
"id": 1059185281510686700,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "01/01/2023 14:04:09",
"content": "the purpose is getting term of sin theta on numerator first",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059185509257195600,
"author_id": 763812168105459700,
"author_name": "BananaBread",
"timestamp": "01/01/2023 14:05:04",
"content": "ah ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059185637204426800,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "01/01/2023 14:05:34",
"content": "If you want to learn trigonometric manipulations then better practice more and more questions on proofing.These doubts will automatically become clear then",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059185745962745900,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "01/01/2023 14:06:00",
"content": "You will develop a little intuition",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059185802933973100,
"author_id": 763812168105459700,
"author_name": "BananaBread",
"timestamp": "01/01/2023 14:06:14",
"content": "Yeah sorry I just started the topic hehe",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059186190366019600,
"author_id": 763812168105459700,
"author_name": "BananaBread",
"timestamp": "01/01/2023 14:07:46",
"content": "so after that we divide by sin theta?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059186791149740000,
"author_id": 763812168105459700,
"author_name": "BananaBread",
"timestamp": "01/01/2023 14:10:09",
"content": "Nevermind I get it thanks :D",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059186807444619400,
"author_id": 763812168105459700,
"author_name": "BananaBread",
"timestamp": "01/01/2023 14:10:13",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059186810418372600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 14:10:14",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
49c4cc832eca4e88b73c4742d07b89c4
|
200,464 |
[
{
"id": 1059187063511064600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 14:11:14",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059187720431341700,
"author_id": 307163613779722240,
"author_name": "lordi",
"timestamp": "01/01/2023 14:13:51",
"content": "",
"attachments": [
{
"id": 1059187720120975500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059187720120975440/image.png",
"fileName": "image.png",
"fileSizeBytes": 5133
}
],
"mentions": [],
"reference": null
},
{
"id": 1059187722541080700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 14:13:51",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1059187720431341700,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1059187745542643700,
"author_id": 307163613779722240,
"author_name": "lordi",
"timestamp": "01/01/2023 14:13:57",
"content": "shouldn't this be 0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059187847241928700,
"author_id": 307163613779722240,
"author_name": "lordi",
"timestamp": "01/01/2023 14:14:21",
"content": "because it's -2*e^0-",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059187893320548400,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "01/01/2023 14:14:32",
"content": "That expression you just wrote is equal to -2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059187899763019800,
"author_id": 307163613779722240,
"author_name": "lordi",
"timestamp": "01/01/2023 14:14:34",
"content": "no wait",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059187937620803700,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "01/01/2023 14:14:43",
"content": "$-2 \\cdot e^0 = -2 \\cdot 1 = -2$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059187946420453400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 14:14:45",
"content": "**Shen**",
"attachments": [
{
"id": 1059187946374320300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059187946374320279/800622149903056927.png",
"fileName": "800622149903056927.png",
"fileSizeBytes": 4247
}
],
"mentions": [],
"reference": null
},
{
"id": 1059187961977126900,
"author_id": 307163613779722240,
"author_name": "lordi",
"timestamp": "01/01/2023 14:14:48",
"content": "omg",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059187971271700600,
"author_id": 307163613779722240,
"author_name": "lordi",
"timestamp": "01/01/2023 14:14:51",
"content": "nevermind",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059187985544921100,
"author_id": 307163613779722240,
"author_name": "lordi",
"timestamp": "01/01/2023 14:14:54",
"content": "i got confused with log",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059187998492721200,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "01/01/2023 14:14:57",
"content": "Lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059188011310514300,
"author_id": 307163613779722240,
"author_name": "lordi",
"timestamp": "01/01/2023 14:15:00",
"content": "i was thinking about log graph",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059188013533503500,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "01/01/2023 14:15:01",
"content": "It happens",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059188028020641900,
"author_id": 307163613779722240,
"author_name": "lordi",
"timestamp": "01/01/2023 14:15:04",
"content": "sorry",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059188031795499000,
"author_id": 307163613779722240,
"author_name": "lordi",
"timestamp": "01/01/2023 14:15:05",
"content": "thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059188053085786200,
"author_id": 307163613779722240,
"author_name": "lordi",
"timestamp": "01/01/2023 14:15:10",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059188056000839700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 14:15:11",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
1a2666b6a4594d4f9a51af48e4885df7
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.