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[
{
"id": 1032430187817730000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 19:08:58",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1032431530561257500,
"author_id": 730914828620791900,
"author_name": "nxrcv",
"timestamp": "10/19/2022 19:14:18",
"content": "((11/5)/2)^2",
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},
{
"id": 1032431532352229500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 19:14:18",
"content": "Pinned a message.",
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{
"id": 1032431677592567800,
"author_id": 730914828620791900,
"author_name": "nxrcv",
"timestamp": "10/19/2022 19:14:53",
"content": "the answer is 121/100 but idk how they got there",
"attachments": [],
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},
{
"id": 1032432525638914200,
"author_id": 496409778822709250,
"author_name": "Bestower",
"timestamp": "10/19/2022 19:18:15",
"content": "((11/5)/2)^2",
"attachments": [],
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"reference": null
},
{
"id": 1032432537835933800,
"author_id": 496409778822709250,
"author_name": "Bestower",
"timestamp": "10/19/2022 19:18:18",
"content": "So lets start",
"attachments": [],
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"reference": null
},
{
"id": 1032432549106036900,
"author_id": 496409778822709250,
"author_name": "Bestower",
"timestamp": "10/19/2022 19:18:21",
"content": "what comes first?",
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},
{
"id": 1032432609655009300,
"author_id": 730914828620791900,
"author_name": "nxrcv",
"timestamp": "10/19/2022 19:18:35",
"content": "(11/5)/2",
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},
{
"id": 1032432633763860500,
"author_id": 496409778822709250,
"author_name": "Bestower",
"timestamp": "10/19/2022 19:18:41",
"content": "its 11/5",
"attachments": [],
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},
{
"id": 1032432638989959200,
"author_id": 496409778822709250,
"author_name": "Bestower",
"timestamp": "10/19/2022 19:18:42",
"content": "which is?",
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},
{
"id": 1032432681390182400,
"author_id": 272457362395365380,
"author_name": "mymc",
"timestamp": "10/19/2022 19:18:52",
"content": "recall order of operations\npemdas",
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},
{
"id": 1032432710280564700,
"author_id": 496409778822709250,
"author_name": "Bestower",
"timestamp": "10/19/2022 19:18:59",
"content": "yes mymc, I got this!",
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},
{
"id": 1032432753528025100,
"author_id": 730914828620791900,
"author_name": "nxrcv",
"timestamp": "10/19/2022 19:19:10",
"content": "in decimal form it would be 2.2",
"attachments": [],
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},
{
"id": 1032432757726527600,
"author_id": 272457362395365380,
"author_name": "mymc",
"timestamp": "10/19/2022 19:19:11",
"content": "k",
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},
{
"id": 1032432774814105700,
"author_id": 496409778822709250,
"author_name": "Bestower",
"timestamp": "10/19/2022 19:19:15",
"content": "so now we got (2.2/2)^2",
"attachments": [],
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},
{
"id": 1032432814643220500,
"author_id": 730914828620791900,
"author_name": "nxrcv",
"timestamp": "10/19/2022 19:19:24",
"content": "I see",
"attachments": [],
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},
{
"id": 1032432841457414100,
"author_id": 496409778822709250,
"author_name": "Bestower",
"timestamp": "10/19/2022 19:19:31",
"content": "2.2/2 is 1.1",
"attachments": [],
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},
{
"id": 1032432842749251700,
"author_id": 730914828620791900,
"author_name": "nxrcv",
"timestamp": "10/19/2022 19:19:31",
"content": "i didnt think of turning it into decimal form",
"attachments": [],
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},
{
"id": 1032432953789268000,
"author_id": 496409778822709250,
"author_name": "Bestower",
"timestamp": "10/19/2022 19:19:57",
"content": "I dont think it maters but decimal form is easier to work with here",
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},
{
"id": 1032433035804688500,
"author_id": 496409778822709250,
"author_name": "Bestower",
"timestamp": "10/19/2022 19:20:17",
"content": "then we get 1.1^2",
"attachments": [],
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},
{
"id": 1032433058776875100,
"author_id": 496409778822709250,
"author_name": "Bestower",
"timestamp": "10/19/2022 19:20:22",
"content": ",ask 1.1^2",
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},
{
"id": 1032433088757760000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/19/2022 19:20:30",
"content": "Results provided by WolframAlpha",
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},
{
"id": 1032433126162567300,
"author_id": 730914828620791900,
"author_name": "nxrcv",
"timestamp": "10/19/2022 19:20:38",
"content": "yep",
"attachments": [],
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},
{
"id": 1032433128230371300,
"author_id": 496409778822709250,
"author_name": "Bestower",
"timestamp": "10/19/2022 19:20:39",
"content": ":catlove:",
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},
{
"id": 1032433162241966100,
"author_id": 730914828620791900,
"author_name": "nxrcv",
"timestamp": "10/19/2022 19:20:47",
"content": "thank you",
"attachments": [],
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},
{
"id": 1032433175282061300,
"author_id": 496409778822709250,
"author_name": "Bestower",
"timestamp": "10/19/2022 19:20:50",
"content": "no problemo",
"attachments": [],
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},
{
"id": 1032433204386353200,
"author_id": 496409778822709250,
"author_name": "Bestower",
"timestamp": "10/19/2022 19:20:57",
"content": "I could walk you through doing it as a fraction if ud like",
"attachments": [],
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},
{
"id": 1032433233805193200,
"author_id": 496409778822709250,
"author_name": "Bestower",
"timestamp": "10/19/2022 19:21:04",
"content": "but thats not the optimal way of doing it here",
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},
{
"id": 1032433302184935600,
"author_id": 496409778822709250,
"author_name": "Bestower",
"timestamp": "10/19/2022 19:21:20",
"content": "its a bit longer and quite frankly, undeeded",
"attachments": [],
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"reference": null
},
{
"id": 1032433314163851300,
"author_id": 730914828620791900,
"author_name": "nxrcv",
"timestamp": "10/19/2022 19:21:23",
"content": "ik how to do fractions, i was just not using my brain here",
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{
"id": 1032433337354166300,
"author_id": 496409778822709250,
"author_name": "Bestower",
"timestamp": "10/19/2022 19:21:29",
"content": "ah alright!",
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},
{
"id": 1032433413816340600,
"author_id": 496409778822709250,
"author_name": "Bestower",
"timestamp": "10/19/2022 19:21:47",
"content": ".close if ur done! ask away if u got more questions :cutethink:",
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},
{
"id": 1032433434720735200,
"author_id": 730914828620791900,
"author_name": "nxrcv",
"timestamp": "10/19/2022 19:21:52",
"content": "k",
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},
{
"id": 1032433446561251300,
"author_id": 730914828620791900,
"author_name": "nxrcv",
"timestamp": "10/19/2022 19:21:55",
"content": "thank you again",
"attachments": [],
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"reference": null
},
{
"id": 1032433455407050900,
"author_id": 730914828620791900,
"author_name": "nxrcv",
"timestamp": "10/19/2022 19:21:57",
"content": ".close",
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"reference": null
},
{
"id": 1032433459295178900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 19:21:58",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
365518d78b0145b4b29a595928fe1f7e
|
199,266 |
[
{
"id": 1032434068840779900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 19:24:23",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1032436491739201500,
"author_id": 506607935850414100,
"author_name": "bucky",
"timestamp": "10/19/2022 19:34:01",
"content": "",
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"id": 1032436494192885800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 19:34:01",
"content": "Pinned a message.",
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"channelId": 486844875632017400,
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{
"id": 1032436746631249900,
"author_id": 506607935850414100,
"author_name": "bucky",
"timestamp": "10/19/2022 19:35:02",
"content": "I'm pretty sure P=probability of hiring female and q=probability of hiring male, and that the manufacturing company was wrongly cited but I'm not sure how to work it out or explain it",
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},
{
"id": 1032437351416344700,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "10/19/2022 19:37:26",
"content": "it's supposed to be that they are both telling the truth",
"attachments": [],
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},
{
"id": 1032437678689505300,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "10/19/2022 19:38:44",
"content": "i don't know how",
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},
{
"id": 1032438053958074400,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "10/19/2022 19:40:13",
"content": "like i know it's this",
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},
{
"id": 1032438060064985100,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "10/19/2022 19:40:15",
"content": "<https://en.wikipedia.org/wiki/Simpson%27s_paradox#UC_Berkeley_gender_bias>",
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{
"id": 1032438221633765500,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "10/19/2022 19:40:53",
"content": "but it's beyond my understanding",
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},
{
"id": 1032438861013463000,
"author_id": 121075349667708930,
"author_name": "Hexicle",
"timestamp": "10/19/2022 19:43:26",
"content": "It is easier to see what is going on if you use extreme numbers. If there are 1 million females and 2 males applied to a job with 3 spots and 2 females/1 male got a job. 2e-7% females got a job while 50% of males got it, but 66.6~% of the hires were female and 33.3~% were male.",
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{
"id": 1032439089326194800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "10/19/2022 19:44:20",
"content": "so like, if almost every woman applied to management, the total rate would be 20% + a tiny bit more",
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},
{
"id": 1032439227553697800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "10/19/2022 19:44:53",
"content": "and if practically all men were going for assembly line, the total rate would be 75% minus a bit",
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},
{
"id": 1032439271862325200,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "10/19/2022 19:45:04",
"content": "ok that's not too insane",
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},
{
"id": 1032439291852374100,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "10/19/2022 19:45:08",
"content": "thanks",
"attachments": [],
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},
{
"id": 1032440212455964700,
"author_id": 506607935850414100,
"author_name": "bucky",
"timestamp": "10/19/2022 19:48:48",
"content": "I think I kind of understand what y'all are saying but I'm still a bit confused, so it's more reliant on the amount of women/men applying to the specific positions?",
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{
"id": 1032442444912013400,
"author_id": 506607935850414100,
"author_name": "bucky",
"timestamp": "10/19/2022 19:57:40",
"content": "So since less women are applying for the position less women are getting hired which affects the statistics for that position",
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},
{
"id": 1032444562620305400,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "10/19/2022 20:06:05",
"content": "if women choose one position out of two disproportionately, the total would be similar to the rate for that position",
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},
{
"id": 1032444701065879600,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "10/19/2022 20:06:38",
"content": "the other rate gets ignored",
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},
{
"id": 1032445027965734900,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "10/19/2022 20:07:56",
"content": "you phrased it completely differently i don't get it, could be valid tho",
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},
{
"id": 1032446287347470300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 20:12:56",
"content": "@bucky Has your question been resolved?",
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"id": 1032446301792632800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 20:13:00",
"content": "Channel closed",
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}
] |
help-9
|
de8ad43533e943eeb1e563b8cbe5005d
|
199,267 |
[
{
"id": 1032446553509613700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 20:14:00",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1032447497819406500,
"author_id": 334583289182552060,
"author_name": "Biblicalwizardx",
"timestamp": "10/19/2022 20:17:45",
"content": "this doesnt seem right...",
"attachments": [],
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"reference": null
},
{
"id": 1032447500042387600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 20:17:45",
"content": "Pinned a message.",
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"id": 1032447531759718400,
"author_id": 334583289182552060,
"author_name": "Biblicalwizardx",
"timestamp": "10/19/2022 20:17:53",
"content": "maybe its just the question",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032447633911992300,
"author_id": 334583289182552060,
"author_name": "Biblicalwizardx",
"timestamp": "10/19/2022 20:18:17",
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"author_id": 334583289182552060,
"author_name": "Biblicalwizardx",
"timestamp": "10/19/2022 20:18:50",
"content": "i imagine he would throw it higher than a foot :blobsweat:",
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{
"id": 1032450734194692200,
"author_id": 334583289182552060,
"author_name": "Biblicalwizardx",
"timestamp": "10/19/2022 20:30:37",
"content": "@Helpers",
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},
{
"id": 1032453531988402300,
"author_id": 334583289182552060,
"author_name": "Biblicalwizardx",
"timestamp": "10/19/2022 20:41:44",
"content": ".close",
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},
{
"id": 1032453534584672300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 20:41:44",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
b43b52d2be4b47dfa10f00191fbe0d3e
|
199,268 |
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"timestamp": "10/19/2022 20:42:44",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1032454139193593900,
"author_id": 240608458888445950,
"author_name": "xpoes",
"timestamp": "10/19/2022 20:44:08",
"content": "I'm not entirely sure how to find the linear transformation",
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"timestamp": "10/19/2022 20:44:09",
"content": "Pinned a message.",
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"author_id": 240608458888445950,
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"timestamp": "10/19/2022 20:44:26",
"content": "(This is for a practice test, not hw or an actual test. I can send pdf for proof in case that is needed)",
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},
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"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 20:59:26",
"content": "@xpoes Has your question been resolved?",
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{
"id": 1032458187242209300,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "10/19/2022 21:00:13",
"content": "notice that this is equal to reflecting some point p across the x-axis (1,0) and then rotating your coordinate system counterclockwise by theta -> x becomes v1, y becomes v2",
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},
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"id": 1032458307790712800,
"author_id": 240608458888445950,
"author_name": "xpoes",
"timestamp": "10/19/2022 21:00:42",
"content": "why is it across the x-axis",
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},
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"id": 1032458383976046600,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "10/19/2022 21:01:00",
"content": "",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1032458384110276669/image0.png",
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"id": 1032458429891084300,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "10/19/2022 21:01:11",
"content": "imagine undoing the rotation first",
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},
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"id": 1032458462002692100,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "10/19/2022 21:01:19",
"content": "then reflecting, then rotating back",
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},
{
"id": 1032458639027486800,
"author_id": 240608458888445950,
"author_name": "xpoes",
"timestamp": "10/19/2022 21:02:01",
"content": "what is (1,0)?",
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},
{
"id": 1032458662893060200,
"author_id": 240608458888445950,
"author_name": "xpoes",
"timestamp": "10/19/2022 21:02:07",
"content": "oh",
"attachments": [],
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},
{
"id": 1032458666013622300,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "10/19/2022 21:02:08",
"content": "the x-axis unit vector",
"attachments": [],
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},
{
"id": 1032458701799440400,
"author_id": 240608458888445950,
"author_name": "xpoes",
"timestamp": "10/19/2022 21:02:16",
"content": "that's what v1 gets put to after the undoing of the rotation?",
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},
{
"id": 1032458753917845600,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "10/19/2022 21:02:29",
"content": "yes",
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},
{
"id": 1032458871563886600,
"author_id": 240608458888445950,
"author_name": "xpoes",
"timestamp": "10/19/2022 21:02:57",
"content": "so v1 would go to -cos theta sin theta?",
"attachments": [],
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},
{
"id": 1032458994054352900,
"author_id": 240608458888445950,
"author_name": "xpoes",
"timestamp": "10/19/2022 21:03:26",
"content": "wait I meant cos theta -sin theta",
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},
{
"id": 1032459993322111000,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "10/19/2022 21:07:24",
"content": "wdym?",
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"id": 1032460412555374600,
"author_id": 240608458888445950,
"author_name": "xpoes",
"timestamp": "10/19/2022 21:09:04",
"content": "ah ok",
"attachments": [],
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},
{
"id": 1032460420109324400,
"author_id": 240608458888445950,
"author_name": "xpoes",
"timestamp": "10/19/2022 21:09:06",
"content": "I figurd it out",
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},
{
"id": 1032460462010404900,
"author_id": 240608458888445950,
"author_name": "xpoes",
"timestamp": "10/19/2022 21:09:16",
"content": ".close",
"attachments": [],
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},
{
"id": 1032460464313094100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 21:09:16",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
d75dcec18d8f41a3a098bb817f43cae2
|
199,269 |
[
{
"id": 1032462371710574600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 21:16:51",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032462634785710200,
"author_id": 344528357288837100,
"author_name": "Tony!",
"timestamp": "10/19/2022 21:17:54",
"content": "Why is the answer this and not 1/2 when its asking us for the sin of 60 and not the y",
"attachments": [],
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"reference": null
},
{
"id": 1032462637100961800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 21:17:54",
"content": "Pinned a message.",
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"channelId": 486844875632017400,
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"id": 1032462647075033100,
"author_id": 344528357288837100,
"author_name": "Tony!",
"timestamp": "10/19/2022 21:17:57",
"content": "",
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"id": 1032462967947661300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "10/19/2022 21:19:13",
"content": "Sin relates to the y coordinate",
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"id": 1032463036902015000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "10/19/2022 21:19:30",
"content": "As it states $\\sin \\theta = y$",
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},
{
"id": 1032463084410912800,
"author_id": 344528357288837100,
"author_name": "Tony!",
"timestamp": "10/19/2022 21:19:41",
"content": "is that universal or is that just for this problem?",
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"id": 1032463133991776300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "10/19/2022 21:19:53",
"content": "Universal",
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},
{
"id": 1032463231727435900,
"author_id": 344528357288837100,
"author_name": "Tony!",
"timestamp": "10/19/2022 21:20:16",
"content": "do you have website page with all the universal x and y variables?",
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},
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"id": 1032463433356038300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "10/19/2022 21:21:04",
"content": "You don't need one",
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},
{
"id": 1032463697538461700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "10/19/2022 21:22:07",
"content": "Use that circle give, theta is that pink angle, if you drew a line from point P, straight down, you make a right triangle",
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},
{
"id": 1032463881475477600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "10/19/2022 21:22:51",
"content": "Apply your trig ratios and you'll see that cos is going to be along the x axis hence cos theta = x",
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},
{
"id": 1032463918016233500,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "10/19/2022 21:23:00",
"content": "And sin theta is y",
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},
{
"id": 1032464130784895100,
"author_id": 344528357288837100,
"author_name": "Tony!",
"timestamp": "10/19/2022 21:23:51",
"content": "oh i see",
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},
{
"id": 1032464137801978000,
"author_id": 344528357288837100,
"author_name": "Tony!",
"timestamp": "10/19/2022 21:23:52",
"content": "kinda of",
"attachments": [],
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},
{
"id": 1032464196211851300,
"author_id": 344528357288837100,
"author_name": "Tony!",
"timestamp": "10/19/2022 21:24:06",
"content": "my brain is actualy fried after a long day",
"attachments": [],
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},
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"id": 1032464690552520700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "10/19/2022 21:26:04",
"content": "Then take a break",
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"reference": null
},
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"id": 1032467971903328300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 21:39:06",
"content": "@Tony! Has your question been resolved?",
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"id": 1032468593771823100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 21:41:35",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
adeb2928ffc74f06995760dc9b10d406
|
199,270 |
[
{
"id": 962673215304532000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/10/2022 07:19:40",
"content": "Available help channel!",
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"reference": null
},
{
"id": 962674186432708600,
"author_id": 682711699035258900,
"author_name": "JKXLZ",
"timestamp": "04/10/2022 07:23:31",
"content": "what does it mean by use standard conventions for lines, shapes and angles",
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},
{
"id": 962674188185923600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/10/2022 07:23:32",
"content": "Pinned a message.",
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"id": 962674494613356700,
"author_id": 805999022702985300,
"author_name": "cis(kitten)",
"timestamp": "04/10/2022 07:24:45",
"content": "context, please?",
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},
{
"id": 962674746112229400,
"author_id": 682711699035258900,
"author_name": "JKXLZ",
"timestamp": "04/10/2022 07:25:45",
"content": "i have a gcse revision sheet and in the geometry section thats listed on the revision sheet \"Using standard convetions for lines, shapes and angles\"",
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},
{
"id": 962674996407312400,
"author_id": 805999022702985300,
"author_name": "cis(kitten)",
"timestamp": "04/10/2022 07:26:44",
"content": "probably labeling conventions",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962675003210485800,
"author_id": 805999022702985300,
"author_name": "cis(kitten)",
"timestamp": "04/10/2022 07:26:46",
"content": "like",
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"mentions": [],
"reference": null
},
{
"id": 962675132780937200,
"author_id": 805999022702985300,
"author_name": "cis(kitten)",
"timestamp": "04/10/2022 07:27:17",
"content": "you should label a point by a capital letter, lines and segments with lowercase letters, right angles w/ a special symbol which idk how to describe in words, ...",
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"reference": null
},
{
"id": 962675274401587200,
"author_id": 682711699035258900,
"author_name": "JKXLZ",
"timestamp": "04/10/2022 07:27:51",
"content": "ah ok",
"attachments": [],
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"reference": null
},
{
"id": 962675283142533200,
"author_id": 682711699035258900,
"author_name": "JKXLZ",
"timestamp": "04/10/2022 07:27:53",
"content": "thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962675399584796700,
"author_id": 682711699035258900,
"author_name": "JKXLZ",
"timestamp": "04/10/2022 07:28:20",
"content": ".close",
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},
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"id": 962675401275093000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/10/2022 07:28:21",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
8b73935cf3ea4ae3b29beab330594bf0
|
199,271 |
[
{
"id": 1032470540121804800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 21:49:19",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1032470571432280000,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 21:49:26",
"content": "hi",
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"id": 1032470573655261200,
"author_id": 805217272087838700,
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"timestamp": "10/19/2022 21:49:27",
"content": "Pinned a message.",
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"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 21:49:33",
"content": "I have a question on geometry",
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},
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"id": 1032470651031793800,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "10/19/2022 21:49:45",
"content": "Go on",
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},
{
"id": 1032470700365197300,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 21:49:57",
"content": "ok",
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},
{
"id": 1032470709181620400,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 21:49:59",
"content": "i have a picture",
"attachments": [],
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},
{
"id": 1032470732610998300,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 21:50:05",
"content": "is it ok for me to send",
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},
{
"id": 1032470751279861800,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 21:50:09",
"content": "of the question",
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},
{
"id": 1032470751523127400,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "10/19/2022 21:50:09",
"content": "Yes",
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"id": 1032470761694298100,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 21:50:11",
"content": "ok",
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},
{
"id": 1032470821651873900,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 21:50:26",
"content": "ill send",
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},
{
"id": 1032470875875856500,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "10/19/2022 21:50:39",
"content": "Ok",
"attachments": [],
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},
{
"id": 1032470937456611300,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 21:50:53",
"content": "Given H(4,-4), I(8,0), J(4,9),H(4,−4),I(8,0),J(4,9), and K(x, 3).K(x,3). Find xx such that \\overline{HI} \\parallel \\overline{JK} \nHI\n ∥ \nJK\n .",
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"id": 1032470999905607700,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 21:51:08",
"content": "actually no",
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},
{
"id": 1032471015386788000,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 21:51:12",
"content": "ill send a actual picture",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032471044373626900,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "10/19/2022 21:51:19",
"content": "K",
"attachments": [],
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},
{
"id": 1032471396703535100,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 21:52:43",
"content": "Ok",
"attachments": [],
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"reference": null
},
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"id": 1032471417826070700,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 21:52:48",
"content": "@BasuDev",
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"id": 1032471424998314100,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 21:52:50",
"content": "I got it",
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},
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"id": 1032471626807246800,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 21:53:38",
"content": "That hi is parallel to jk",
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"author_name": "UltraArata",
"timestamp": "10/19/2022 21:54:51",
"content": "",
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"timestamp": "10/19/2022 21:55:06",
"content": "Got a clear pic",
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"content": "@BasuDev",
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"timestamp": "10/19/2022 21:55:10",
"content": "Ok",
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"timestamp": "10/19/2022 21:56:01",
"content": "Find the slope of each segment. Equate the slopes.",
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"timestamp": "10/19/2022 21:56:07",
"content": "I did",
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"timestamp": "10/19/2022 21:56:10",
"content": "Yes",
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"timestamp": "10/19/2022 21:56:15",
"content": "What did you get?",
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"timestamp": "10/19/2022 21:56:17",
"content": "i got for hi",
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"timestamp": "10/19/2022 21:56:28",
"content": "uh",
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"timestamp": "10/19/2022 21:56:33",
"content": "lemme get the paper",
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"timestamp": "10/19/2022 21:56:39",
"content": "right.",
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"timestamp": "10/19/2022 21:56:43",
"content": "it was",
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"timestamp": "10/19/2022 21:56:44",
"content": "1",
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"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 21:56:46",
"content": "for hi",
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"timestamp": "10/19/2022 21:56:53",
"content": "-6/x-4 for jk",
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"timestamp": "10/19/2022 21:56:56",
"content": "is that correct?",
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"timestamp": "10/19/2022 21:56:57",
"content": "Yes",
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"author_name": "UltraArata",
"timestamp": "10/19/2022 21:57:06",
"content": "how do I go from there",
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"timestamp": "10/19/2022 21:57:06",
"content": "Equate those two",
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"timestamp": "10/19/2022 21:57:11",
"content": "idk how",
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"timestamp": "10/19/2022 21:57:25",
"content": "1=-6/x-4",
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"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 21:57:44",
"content": "then?",
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"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 21:57:49",
"content": "what do I do after that",
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"timestamp": "10/19/2022 21:57:51",
"content": "Solve for x",
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"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 21:58:12",
"content": "x=10?",
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"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "10/19/2022 21:58:33",
"content": "What??",
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"author_name": "UltraArata",
"timestamp": "10/19/2022 21:58:37",
"content": "14?",
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"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 21:58:41",
"content": "-14?",
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"author_name": "BasuDev",
"timestamp": "10/19/2022 21:58:41",
"content": "No",
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"timestamp": "10/19/2022 21:58:45",
"content": "uh",
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"author_name": "BasuDev",
"timestamp": "10/19/2022 21:58:46",
"content": "Wtf!!!",
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"timestamp": "10/19/2022 21:58:47",
"content": "how do u",
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"timestamp": "10/19/2022 21:58:49",
"content": "equate those",
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"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 21:59:02",
"content": "my teacher didn't even teach it to us correctly",
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"timestamp": "10/19/2022 21:59:09",
"content": ".",
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"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 21:59:27",
"content": "so what steps do I do",
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"author_name": "UltraArata",
"timestamp": "10/19/2022 21:59:28",
"content": "sorry",
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"id": 1032473175562387500,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "10/19/2022 21:59:47",
"content": "So you multiply both side by x-4",
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"id": 1032473195355308000,
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"timestamp": "10/19/2022 21:59:52",
"content": "ok",
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"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "10/19/2022 21:59:55",
"content": "And you get...??",
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"author_name": "UltraArata",
"timestamp": "10/19/2022 22:00:52",
"content": "-8?",
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"timestamp": "10/19/2022 22:01:05",
"content": "I think",
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"timestamp": "10/19/2022 22:01:07",
"content": "I hope",
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"timestamp": "10/19/2022 22:01:15",
"content": "@BasuDev",
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"timestamp": "10/19/2022 22:01:33",
"content": "No",
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"timestamp": "10/19/2022 22:01:37",
"content": "how do you",
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"timestamp": "10/19/2022 22:01:46",
"content": "if its 1 on 1 side",
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"timestamp": "10/19/2022 22:01:50",
"content": "it will automatically be",
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"id": 1032473695542841300,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 22:01:51",
"content": "x-4",
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{
"id": 1032473753009004700,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 22:02:05",
"content": "then the other side will be",
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"id": 1032473760231608300,
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"author_name": "UltraArata",
"timestamp": "10/19/2022 22:02:06",
"content": "idk",
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"id": 1032473765499646000,
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"author_name": "UltraArata",
"timestamp": "10/19/2022 22:02:08",
"content": "-7",
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"id": 1032473776258035700,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 22:02:10",
"content": "-6*",
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"id": 1032473792825532500,
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"author_name": "BasuDev",
"timestamp": "10/19/2022 22:02:14",
"content": "Ye",
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"id": 1032473796189368300,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 22:02:15",
"content": "you add 4 on both sides",
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"timestamp": "10/19/2022 22:02:16",
"content": "x=-2",
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"id": 1032473811578265600,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "10/19/2022 22:02:19",
"content": "Yes",
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"id": 1032473820797350000,
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"author_name": "UltraArata",
"timestamp": "10/19/2022 22:02:21",
"content": "oh",
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"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "10/19/2022 22:02:21",
"content": "Now",
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"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "10/19/2022 22:02:27",
"content": "It's correct",
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"id": 1032473871426793500,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 22:02:33",
"content": "I have another question",
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"id": 1032473890309550100,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 22:02:37",
"content": "if you have the time",
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"timestamp": "10/19/2022 22:02:41",
"content": "Yep",
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"timestamp": "10/19/2022 22:02:43",
"content": "I do",
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"author_name": "BasuDev",
"timestamp": "10/19/2022 22:02:48",
"content": "Have some few mins",
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"timestamp": "10/19/2022 22:02:51",
"content": "ok thanks",
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"timestamp": "10/19/2022 22:03:07",
"content": "Ye",
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"timestamp": "10/19/2022 22:03:24",
"content": "",
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"content": "this",
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"timestamp": "10/19/2022 22:03:32",
"content": "i dont get it at all",
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"timestamp": "10/19/2022 22:04:47",
"content": "@BasuDev",
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"timestamp": "10/19/2022 22:05:11",
"content": "Ok ok dude I'm here",
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"timestamp": "10/19/2022 22:05:24",
"content": "k",
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"timestamp": "10/19/2022 22:06:30",
"content": "Idk man",
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"id": 1032474911245082600,
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"author_name": "BasuDev",
"timestamp": "10/19/2022 22:06:41",
"content": "I don't get what they meant by plane",
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"timestamp": "10/19/2022 22:06:50",
"content": "Hm",
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"timestamp": "10/19/2022 22:07:29",
"content": "how should I approach the question",
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"author_name": "UltraArata",
"timestamp": "10/19/2022 22:07:51",
"content": "oh could you help check 1 of my questions",
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"timestamp": "10/19/2022 22:08:00",
"content": "i have another that im not sure if i got correct",
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"timestamp": "10/19/2022 22:08:15",
"content": "Ye",
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"id": 1032475327366176900,
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"timestamp": "10/19/2022 22:08:20",
"content": "If I can",
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"id": 1032475359083511800,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 22:08:28",
"content": "sent",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032475363550449700,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 22:08:29",
"content": "",
"attachments": [
{
"id": 1032475362896130200,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1032475362896130159/5344026D-22D5-4A41-830F-E3AD318FC644.jpg",
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"id": 1032475403350184000,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 22:08:38",
"content": "is that correct?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032475715960058000,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "10/19/2022 22:09:53",
"content": "Yep",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032475753306144800,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "10/19/2022 22:10:02",
"content": "I got 38 as well",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032475802882822100,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 22:10:13",
"content": "yay",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032475832184230000,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 22:10:20",
"content": "all i need is that prism thing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032475860734849200,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 22:10:27",
"content": "thats all I don't understand'",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032475890027856000,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 22:10:34",
"content": "does it have to do with skew??",
"attachments": [],
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},
{
"id": 1032476110136557700,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "10/19/2022 22:11:27",
"content": "I'm totally unaware about it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032476143837773800,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 22:11:35",
"content": "do you know somebody who can do it?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032476240927539200,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 22:11:58",
"content": "also thanks for teaching me this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032476346426851500,
"author_id": 925042255427948500,
"author_name": "BasuDev",
"timestamp": "10/19/2022 22:12:23",
"content": "Well you can ping helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032476368589561900,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 22:12:28",
"content": "ok ill try",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032476385165459500,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 22:12:32",
"content": "@Helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032476452806987900,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 22:12:48",
"content": "",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1032476452551151696/unknown.png",
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{
"id": 1032476520863764600,
"author_id": 371371194605240300,
"author_name": "UltraArata",
"timestamp": "10/19/2022 22:13:05",
"content": "Do any of you guys know how to solve this?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032480296593002500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 22:28:05",
"content": "@UltraArata Has your question been resolved?",
"attachments": [],
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"id": 1032484073194672300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 22:43:05",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
091adedd0a43405798ceac5a77519b96
|
199,272 |
[
{
"id": 1032484325054234800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 22:44:05",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032486188562513900,
"author_id": 399951742269128700,
"author_name": "bipe",
"timestamp": "10/19/2022 22:51:30",
"content": "I have the question 4(y+2) -5(y+1) = y-1, I used distrubutive property to make it 4y + 8 - 5y - 5 = y-1 but I don't know how to proceed from here.\nIf anyone could give me some help simplifying it, would be much appreciated!",
"attachments": [],
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},
{
"id": 1032486190462550000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 22:51:30",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
"messageId": 1032486188562513900,
"channelId": 486844875632017400,
"guildId": null
}
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{
"id": 1032486609335091200,
"author_id": 724453059828121600,
"author_name": "SlowBrosRUs",
"timestamp": "10/19/2022 22:53:10",
"content": "group like terms",
"attachments": [],
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"reference": null
},
{
"id": 1032489964446945400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 23:06:30",
"content": "@bipe Has your question been resolved?",
"attachments": [],
"mentions": [
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"name": "bipe",
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{
"id": 1032493741308641300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 23:21:30",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
bf75bcf1080745d58fcc6c256064fb1b
|
199,273 |
[
{
"id": 1032501890891653100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/19/2022 23:53:53",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032506731609202700,
"author_id": 434537215746637800,
"author_name": "ado",
"timestamp": "10/20/2022 00:13:07",
"content": "how would you show\ny=(2x/x-1) \nif it passes through the points (1,2) , (0, x) (y, 0) \n\nthe points of the x and y are unknown but are intercepts of the straight line \nand the equation is also a straight line",
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},
{
"id": 1032506733844779000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 00:13:08",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1032506731609202700,
"channelId": 486844875632017400,
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},
{
"id": 1032506880616050800,
"author_id": 434537215746637800,
"author_name": "ado",
"timestamp": "10/20/2022 00:13:43",
"content": "then you have to find the minimum area of the triangle",
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},
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"id": 1032510656466911400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 00:28:43",
"content": "@ado Has your question been resolved?",
"attachments": [],
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"author_name": "ado",
"timestamp": "10/20/2022 00:29:23",
"content": "@Helpers",
"attachments": [],
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},
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"id": 1032518374321832100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 00:59:23",
"content": "@ado Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 01:29:24",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
e22593ee44d24200a5b1208bbaa102c1
|
199,274 |
[
{
"id": 1032526177891520500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 01:30:24",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032526719363588100,
"author_id": 244304048436674560,
"author_name": "cephalopodtime",
"timestamp": "10/20/2022 01:32:33",
"content": "(Congruence classes on Z) Hi could someone help me find other primitive roots modulo 17 than 3, 5, 6, 7?",
"attachments": [],
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},
{
"id": 1032526721553027200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 01:32:33",
"content": "Pinned a message.",
"attachments": [],
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"id": 1032530495633903600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 01:47:33",
"content": "@cephalopodtime Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 02:21:05",
"content": "@cephalopodtime Has your question been resolved?",
"attachments": [],
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"id": 1032541327197491200,
"author_id": 244304048436674560,
"author_name": "cephalopodtime",
"timestamp": "10/20/2022 02:30:36",
"content": "i figured it out.",
"attachments": [],
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},
{
"id": 1032541333665099800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 02:30:37",
"content": "Channel closed",
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}
] |
help-9
|
10255cce240b466ca5eda75007f23893
|
199,275 |
[
{
"id": 1032541585088454700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 02:31:37",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032546994914345000,
"author_id": 669698052885315600,
"author_name": "Em Pé Quốc Dân",
"timestamp": "10/20/2022 02:53:07",
"content": "Hi! I need help with applied linear regression models. I was given 2 plots displays the relationship between prices of rice in 2009 and 2003. One plot shows the estimated regression equation for the zero-intercept SLR model (yi = beta1*x * ei) with the dash line y = x. The other similar but displays the estimate regression line for the SLR yi = beta0 + beta1*x + ei. \n\nThe zero-intercept SLR model appears to be a better fit caompared to the SLR model. So why the fit provided by the SLR model is poorer than the zero-intercept SRL model?\n\nThank you in advance!",
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},
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"id": 1032546996831137800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 02:53:07",
"content": "Pinned a message.",
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"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 03:08:07",
"content": "@Em Pé Quốc Dân Has your question been resolved?",
"attachments": [],
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"timestamp": "10/20/2022 03:10:47",
"content": "@Helpers",
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"id": 1032558992066621400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 03:40:47",
"content": "@Em Pé Quốc Dân Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 04:41:34",
"content": "@Em Pé Quốc Dân Has your question been resolved?",
"attachments": [],
"mentions": [
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"name": "Em Pé Quốc Dân",
"discriminator": "9275",
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"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 05:41:35",
"content": "Channel closed",
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}
] |
help-9
|
1966e98694be4294b2619e84d35e9fc6
|
199,276 |
[
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"id": 1032590019514335200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 05:44:05",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032594721295568900,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/20/2022 06:02:46",
"content": "aye",
"attachments": [],
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},
{
"id": 1032594723845705700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 06:02:46",
"content": "Pinned a message.",
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"author_name": "Springsskateboard",
"timestamp": "10/20/2022 06:03:00",
"content": "",
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"id": 1032594828296454100,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/20/2022 06:03:11",
"content": "how do I solve this? (graphically)",
"attachments": [],
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"reference": null
},
{
"id": 1032595558944231600,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
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"content": "",
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"id": 1032595565097263100,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/20/2022 06:06:07",
"content": "this is the graph I drew",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032595589554245600,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/20/2022 06:06:13",
"content": "I can’t use calculus btw",
"attachments": [],
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},
{
"id": 1032597645241364500,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/20/2022 06:14:23",
"content": "Can you check the coordinates of the turning points?",
"attachments": [],
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},
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"id": 1032598970276511700,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/20/2022 06:19:39",
"content": "how do I do that?",
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"id": 1032598990899912800,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/20/2022 06:19:44",
"content": "I forgot how to do it without calculus",
"attachments": [],
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"reference": null
},
{
"id": 1032599439048720400,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/20/2022 06:21:31",
"content": "this too",
"attachments": [
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"id": 1032600023772451000,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/20/2022 06:23:50",
"content": "My idea was to say something like $\\frac{x^3}{5}-2x+1 -k = \\frac{1}{5}(x-a)^2(x-b)$ and solve for a and b but this might not be the most efficient way.",
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},
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"id": 1032600036351164400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/20/2022 06:23:53",
"content": "**Pure**",
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"timestamp": "10/20/2022 06:25:02",
"content": "For this one I would draw y=2x^3 and y=25x+20 and read off their where their intersect",
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"timestamp": "10/20/2022 06:25:27",
"content": "oh I can’t draw anymore graphs",
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"timestamp": "10/20/2022 06:25:35",
"content": "is there a way to do it algebraically?",
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"timestamp": "10/20/2022 06:25:50",
"content": "But it says draw a suitable line on the grid.",
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"timestamp": "10/20/2022 06:26:00",
"content": "Oh is it the same question?",
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"timestamp": "10/20/2022 06:26:35",
"content": "yes",
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"author_name": "Springsskateboard",
"timestamp": "10/20/2022 06:27:04",
"content": "is there a way to get the line equation algebraically",
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"timestamp": "10/20/2022 06:27:05",
"content": "Ignore this",
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"timestamp": "10/20/2022 06:27:11",
"content": "I’m an idiot",
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"id": 1032600879762788400,
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"timestamp": "10/20/2022 06:27:14",
"content": "oh alr",
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"timestamp": "10/20/2022 06:27:16",
"content": "HAHAH NAH",
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"id": 1032600910418944000,
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"author_name": "Springsskateboard",
"timestamp": "10/20/2022 06:27:21",
"content": "thx for trying bro",
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"author_name": "Pure",
"timestamp": "10/20/2022 06:27:42",
"content": "If we draw line y=k on this graph, it must cross the curve twice hence two solutions",
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"timestamp": "10/20/2022 06:28:05",
"content": "OH BRUH",
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"author_name": "Springsskateboard",
"timestamp": "10/20/2022 06:28:11",
"content": "okay I got that part",
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"id": 1032601150362497000,
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"author_name": "Springsskateboard",
"timestamp": "10/20/2022 06:28:19",
"content": "yeye nice",
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"id": 1032601343396958200,
"author_id": 607479321350635500,
"author_name": "Pure",
"timestamp": "10/20/2022 06:29:05",
"content": "1 sec I’m at the airport",
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"timestamp": "10/20/2022 06:29:05",
"content": "hmm how about this",
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"timestamp": "10/20/2022 06:29:08",
"content": "oh yeye",
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"timestamp": "10/20/2022 06:29:12",
"content": "npnp take ur time bro",
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"timestamp": "10/20/2022 06:44:12",
"content": "@Springsskateboard Has your question been resolved?",
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"id": 1032605686112198700,
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"timestamp": "10/20/2022 06:46:20",
"content": "Okay I’m back",
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"id": 1032605708279087100,
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"timestamp": "10/20/2022 06:46:25",
"content": "Like this",
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},
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"content": "@Springsskateboard",
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"timestamp": "10/20/2022 06:47:45",
"content": "YES!",
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"timestamp": "10/20/2022 06:47:47",
"content": "THX BRO",
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},
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"id": 1032606072004948100,
"author_id": 1015619946451046400,
"author_name": "Springsskateboard",
"timestamp": "10/20/2022 06:47:52",
"content": "LOVE U",
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},
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"timestamp": "10/20/2022 06:47:59",
"content": "(NO HOMO)",
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"timestamp": "10/20/2022 06:48:24",
"content": ":catclap:",
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help-9
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b32d9ab424ee4b4597ac161d095bd35f
|
199,277 |
[
{
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"content": "does anyone know how to tell if functions are invertble",
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"content": "I know how to calculate them but there was a question \"Determine if function is invertble\"",
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"id": 1032639130187878400,
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"author_name": "~Martin",
"timestamp": "10/20/2022 08:59:14",
"content": "for a function to be well defined, one important thing is:\n-for every x there must be a y such that f(x)=y",
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"timestamp": "10/20/2022 08:59:38",
"content": "also f(x) cannot have 2 solutions",
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"timestamp": "10/20/2022 09:00:18",
"content": "therefore, if we want an inverse function, we have to guarantee that the function is injective.",
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"timestamp": "10/20/2022 09:00:48",
"content": "injective means there are no different x like x_1 and x_2 such that f(x_1)=f(x_2)",
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"content": "this means f has to be a 1 to 1 translation",
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"content": "however for a proper inverse, we also like to guarantee that the function is surjective",
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"content": "meaning that if f:A->B, then the whole B lies in f(A)",
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"id": 1032639927441182800,
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"timestamp": "10/20/2022 09:02:24",
"content": "this guarantees that we dont have to make restrictions on f^-1:B->A",
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"content": "such a function is also called a bijection",
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"content": "given a graph of f, we can check these things:\nf is injective if the graph is monotonously increasing or decreasing with no horizontal asymptotes or switching points\nf is surjective if the function's range ranges from -infinity to +infinity",
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"content": "note that surjectivity is not important",
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"timestamp": "10/20/2022 09:05:35",
"content": "because if we have f:A->B which is not surjective, we can just take a subset of B such that f is surjective",
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"content": "in other words we ignore all elements in B that don't lie in f(A)",
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"author_name": "Micaeuni",
"timestamp": "10/20/2022 09:08:03",
"content": "ok thanks, so if there is a quadratic function, we can safely assume that they are all none invertible because they can have more than one solution/not injective",
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"timestamp": "10/20/2022 09:14:40",
"content": "How do i continue from there on out finding the inverse function",
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"timestamp": "10/20/2022 09:17:57",
"content": "the answer is ln(x+(√(x^(2)+1))",
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"author_name": "Micaeuni",
"timestamp": "10/20/2022 09:23:06",
"content": "Can you help me with this question, i am kind of new to this site so really not sure if its ok to ask like this",
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"timestamp": "10/20/2022 09:38:06",
"content": "@Micaeuni Has your question been resolved?",
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"timestamp": "10/20/2022 09:42:23",
"content": "you're approach is correct 👍",
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"id": 1032650031066529800,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "10/20/2022 09:42:33",
"content": "now we can multiply everything out",
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"id": 1032650045130014800,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "10/20/2022 09:42:36",
"content": "then use complete the square",
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"id": 1032650116802293800,
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"timestamp": "10/20/2022 09:42:53",
"content": "i tried both out, + and -",
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"id": 1032650141661925400,
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"timestamp": "10/20/2022 09:42:59",
"content": "and only + seems to work",
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"timestamp": "10/20/2022 09:43:17",
"content": "why - does not work, i dont know but as long as we get an answer i guess we are fine haha",
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"id": 1032650274407461000,
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"timestamp": "10/20/2022 09:43:31",
"content": "this is a graph",
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"timestamp": "10/20/2022 09:43:36",
"content": "where blue is f and green is f'",
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"timestamp": "10/20/2022 09:53:07",
"content": "Channel closed",
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] |
help-9
|
9812bf8e4b1148638feb6c676008a661
|
199,278 |
[
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"timestamp": "10/20/2022 09:56:49",
"content": "Ok thanks!",
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"id": 1032653623781498900,
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"content": "@Micaeuni Has your question been resolved?",
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}
] |
help-9
|
12a4028ccad742e2aa66be49d525c332
|
199,279 |
[
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"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 10:38:39",
"content": "Available help channel!",
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},
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"id": 1032664229280501800,
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"author_name": "heavy",
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"id": 1032664232141008900,
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"timestamp": "10/20/2022 10:38:58",
"content": "Pinned a message.",
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"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 10:39:21",
"content": "$l_\\infty$ just means all sequences of finite values right",
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"id": 1032664335601905800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/20/2022 10:39:23",
"content": "**Gijs**",
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"id": 1032664401041432700,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 10:39:39",
"content": "not necessarily all absolutely summable series",
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},
{
"id": 1032664582847733900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/20/2022 10:40:22",
"content": "what do you mean \"sequences of finite values\"",
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},
{
"id": 1032664598400221300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/20/2022 10:40:26",
"content": "every sequence is that",
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},
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"id": 1032664649751081100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/20/2022 10:40:38",
"content": "l_infty is the subset so that the infty-norm is finite",
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"id": 1032664717975617700,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 10:40:54",
"content": "like $\\sum_{i = 1}^{\\infty} \\frac{1}{n}$ would be in $l_{\\infty}$",
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"id": 1032664732701823100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/20/2022 10:40:58",
"content": "**Gijs**",
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"id": 1032664774976225400,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 10:41:08",
"content": "even though this series does not converge",
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"id": 1032664784618922000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/20/2022 10:41:10",
"content": "that's a number, not a sequence",
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"id": 1032664835982372900,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 10:41:22",
"content": "good point",
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"id": 1032664839547523100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/20/2022 10:41:23",
"content": "ehh well not number",
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},
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"id": 1032664857360744400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/20/2022 10:41:27",
"content": "but you get the point",
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},
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"id": 1032664968602071200,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 10:41:54",
"content": "they're making a big deal about \"finite values\" in the book so i get a little confused sometimes",
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"id": 1032665042136613000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 10:42:12",
"content": "ive not seen non finite values ever",
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},
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"id": 1032665093156130800,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 10:42:24",
"content": "ive only seen infinities in the context of limits",
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"id": 1032665252325765200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/20/2022 10:43:02",
"content": "if you have for example the sequence $x=(1,2,3,4,\\ldots)$, then $\\norm{x}_\\infty = \\sup\\{n\\in\\bN\\} = \\infty$",
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"id": 1032665263264505900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/20/2022 10:43:04",
"content": "**Denascite**",
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"id": 1032665275922927700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/20/2022 10:43:07",
"content": "you don't want that",
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"id": 1032665352523489300,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 10:43:26",
"content": "yes exactly",
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"id": 1032665441224622100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 10:43:47",
"content": "so the sequence a_n = n is not in l_infty then right",
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{
"id": 1032665494127386600,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 10:43:59",
"content": "because it has no supremum",
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},
{
"id": 1032665523412013000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/20/2022 10:44:06",
"content": "yes",
"attachments": [],
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},
{
"id": 1032665562913964000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 10:44:16",
"content": "alright",
"attachments": [],
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},
{
"id": 1032665636721152000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 10:44:33",
"content": "so were defining a space by a norm?",
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},
{
"id": 1032665812907077600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/20/2022 10:45:15",
"content": "well technically l_infty is a subset of the space of all sequences",
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},
{
"id": 1032665851037503500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/20/2022 10:45:24",
"content": "so we are defining a subspace by a norm",
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{
"id": 1032665997724885000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 10:45:59",
"content": "oh alrighjt",
"attachments": [],
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},
{
"id": 1032666026367799400,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 10:46:06",
"content": "yeah that makes sense",
"attachments": [],
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"reference": null
},
{
"id": 1032666037168124000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 10:46:09",
"content": "thank youu",
"attachments": [],
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"reference": null
},
{
"id": 1032666232165515300,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 10:46:55",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1032666235571277800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 10:46:56",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
97d047c836a842b0b0eb9af275a1ba83
|
199,280 |
[
{
"id": 1032668403913211900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 10:55:33",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032669265855262700,
"author_id": 290530454254125060,
"author_name": "Bolbi Stroganovsky",
"timestamp": "10/20/2022 10:58:59",
"content": "Need to find dy/dx of y=sin^4(x) using the chain rule. Don't know much about finding the derivative of trigonometric functions so any help is welcome",
"attachments": [],
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"reference": null
},
{
"id": 1032669268506071200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 10:58:59",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
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}
},
{
"id": 1032669391885713400,
"author_id": 690565926860357600,
"author_name": "Jelle",
"timestamp": "10/20/2022 10:59:29",
"content": "well, d/dx (sin x) = cos x",
"attachments": [],
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"reference": null
},
{
"id": 1032669450647904300,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/20/2022 10:59:43",
"content": "[sin(x)]^4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032669490904834000,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/20/2022 10:59:52",
"content": "just do it with the power thing and",
"attachments": [],
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"reference": null
},
{
"id": 1032669509984719000,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "10/20/2022 10:59:57",
"content": "what jelle said",
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"name": "Jelle",
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},
{
"id": 1032669949803638900,
"author_id": 290530454254125060,
"author_name": "Bolbi Stroganovsky",
"timestamp": "10/20/2022 11:01:42",
"content": "just not really sure how to break this down with the chain rule. what are the two expressions this can be broken down into?",
"attachments": [],
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"reference": null
},
{
"id": 1032670884667863200,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 11:05:25",
"content": "f(x) = x^4 and g(x) = sin(x)",
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},
{
"id": 1032670935943225300,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 11:05:37",
"content": "then f(g(x)) = sin^4(x)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032671018965270700,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 11:05:57",
"content": "and d/dx f(g(x)) = f '(g(x)) * g'(x)",
"attachments": [],
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"reference": null
},
{
"id": 1032671103530844200,
"author_id": 290530454254125060,
"author_name": "Bolbi Stroganovsky",
"timestamp": "10/20/2022 11:06:17",
"content": "okay so you get 4sin^3xcosx?",
"attachments": [],
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"reference": null
},
{
"id": 1032671156353904600,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 11:06:29",
"content": ",w d/dx sin(x)^4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032671173865119900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/20/2022 11:06:33",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032671189476311000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 11:06:37",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032671216844161200,
"author_id": 290530454254125060,
"author_name": "Bolbi Stroganovsky",
"timestamp": "10/20/2022 11:06:44",
"content": "okay ty for the help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032671235286515800,
"author_id": 290530454254125060,
"author_name": "Bolbi Stroganovsky",
"timestamp": "10/20/2022 11:06:48",
"content": "I appreciate it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032671248649556000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "10/20/2022 11:06:51",
"content": "np",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032671263514181600,
"author_id": 290530454254125060,
"author_name": "Bolbi Stroganovsky",
"timestamp": "10/20/2022 11:06:55",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032671266181742700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 11:06:55",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
7a69830da0f7485a9306aebaf8478a9e
|
199,281 |
[
{
"id": 962676712389349400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/10/2022 07:33:33",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962679450200334300,
"author_id": 950420515435184100,
"author_name": "alexxise",
"timestamp": "04/10/2022 07:44:26",
"content": "What are the advantages of using graphs instead of tables to reperesent data?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962679452364591100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/10/2022 07:44:27",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 962679450200334300,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 962679837988905000,
"author_id": 832077822306156500,
"author_name": "pepper",
"timestamp": "04/10/2022 07:45:59",
"content": "What?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962679982956626000,
"author_id": 874673710768988200,
"author_name": "E-Manual",
"timestamp": "04/10/2022 07:46:33",
"content": "Mistake",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962680106382414000,
"author_id": 874673710768988200,
"author_name": "E-Manual",
"timestamp": "04/10/2022 07:47:03",
"content": "What I meant is it can provide solutions to equations much faster than tables.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962680206982787100,
"author_id": 874673710768988200,
"author_name": "E-Manual",
"timestamp": "04/10/2022 07:47:27",
"content": "Like in a simultaneous equation.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962680462558523400,
"author_id": 874673710768988200,
"author_name": "E-Manual",
"timestamp": "04/10/2022 07:48:28",
"content": "Some simultaneous equations cannot be solved by tables you know. Or at least given some time.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962681494218895400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/10/2022 07:52:33",
"content": "easier to visualise patterns, trends",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962681746770518000,
"author_id": 950420515435184100,
"author_name": "alexxise",
"timestamp": "04/10/2022 07:53:34",
"content": "Thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962681958381547500,
"author_id": 950420515435184100,
"author_name": "alexxise",
"timestamp": "04/10/2022 07:54:24",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962681959786639400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/10/2022 07:54:24",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
2a1f151399c64ef392ee5b2cdbf65b76
|
199,282 |
[
{
"id": 1032680511052710000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 11:43:40",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1032680606439583700,
"author_id": 909666388866662400,
"author_name": "reblex",
"timestamp": "10/20/2022 11:44:02",
"content": "If the volume of an open box is (8a³ - 27)cm³, what is the height of the box and area of its base?",
"attachments": [],
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},
{
"id": 1032680608947785900,
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"author_name": "Mathematics Bot",
"timestamp": "10/20/2022 11:44:03",
"content": "Pinned a message.",
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"id": 1032680617588035600,
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"timestamp": "10/20/2022 11:44:05",
"content": "Help",
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"reference": null
},
{
"id": 1032680706461143000,
"author_id": 909666388866662400,
"author_name": "reblex",
"timestamp": "10/20/2022 11:44:26",
"content": "Its word problem applying all the factoring by polynomials",
"attachments": [],
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"reference": null
},
{
"id": 1032680735896764500,
"author_id": 868079956465438700,
"author_name": "min min",
"timestamp": "10/20/2022 11:44:33",
"content": "recall that an open box is equivalent to a cube",
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},
{
"id": 1032681353076027400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "10/20/2022 11:47:00",
"content": "not a cube",
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"timestamp": "10/20/2022 11:47:17",
"content": "rectangular prism",
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"timestamp": "10/20/2022 11:47:45",
"content": "try factorising (8a³ - 27)",
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"author_id": 909666388866662400,
"author_name": "reblex",
"timestamp": "10/20/2022 11:54:56",
"content": "Thats",
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"author_name": "reblex",
"timestamp": "10/20/2022 11:55:20",
"content": "(2a - 3)",
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},
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"id": 1032683455504470000,
"author_id": 909666388866662400,
"author_name": "reblex",
"timestamp": "10/20/2022 11:55:22",
"content": "?",
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"id": 1032684005541286000,
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"author_name": "reblex",
"timestamp": "10/20/2022 11:57:33",
"content": "(2a -3)²",
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"id": 1032684106624016500,
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"author_name": "reblex",
"timestamp": "10/20/2022 11:57:57",
"content": "Wait i asked my friend for the ans",
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"timestamp": "10/20/2022 11:58:01",
"content": "Idk how it got ²",
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"timestamp": "10/20/2022 12:13:01",
"content": "@reblex Has your question been resolved?",
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"timestamp": "10/20/2022 12:28:01",
"content": "Channel closed",
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}
] |
help-9
|
c71d6fe00e524b108f296fdb4eab5f11
|
199,283 |
[
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},
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"timestamp": "10/20/2022 13:31:56",
"content": "Examine convergence. Idk how to start tbh…",
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"content": "@𝙅𝙤𝙝𝙣𝙣𝙮 Has your question been resolved?",
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"content": "@𝙅𝙤𝙝𝙣𝙣𝙮 Has your question been resolved?",
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"content": "@𝙅𝙤𝙝𝙣𝙣𝙮 Has your question been resolved?",
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"timestamp": "10/20/2022 15:56:46",
"content": "@𝙅𝙤𝙝𝙣𝙣𝙮 You can use the inequality ln(1+x) < x, so you get ln(1 + tan(...)) < tan(...)",
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"author_name": "Sup?",
"timestamp": "10/20/2022 15:58:44",
"content": "For large n, we have sin(1/n^3 (sqrt(n+5))) < 1/(n^3 sqrt(n+5))",
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"id": 1032744969259196400,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "10/20/2022 15:59:48",
"content": "Can you find a lower bound for cos(1/n^3 (sqrt(n+5)))?",
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"author_name": "𝙅𝙤𝙝𝙣𝙣𝙮",
"timestamp": "10/20/2022 16:05:27",
"content": "Could you write down a solution for me? I’m pretty new in series tbh… @Sup?",
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"id": 1032746487911821400,
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"author_name": "𝙅𝙤𝙝𝙣𝙣𝙮",
"timestamp": "10/20/2022 16:05:50",
"content": "So I can take my time and figure it out",
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"timestamp": "10/20/2022 16:06:03",
"content": "Okay well do you agree that cos(1/n^3 (sqrt(n+5))) > 1/n for large n?",
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"id": 1032746629746405500,
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"timestamp": "10/20/2022 16:06:24",
"content": "Since for large n, 1/n approaches 0, but the cos thing approaches 1",
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"author_name": "𝙅𝙤𝙝𝙣𝙣𝙮",
"timestamp": "10/20/2022 16:06:30",
"content": "Yes sir",
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"author_name": "Sup?",
"timestamp": "10/20/2022 16:06:48",
"content": "So you get 1/cos(1/n^3(sqrt(n+5))) < n",
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"id": 1032746945313255600,
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"author_name": "Sup?",
"timestamp": "10/20/2022 16:07:39",
"content": "Since sin(1/n^3(sqrt(n+5))) < 1/(n^3 sqrt(n+5)) and 1/cos(1/n^3(sqrt(n+5))) < n, multiplying both gives you",
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"id": 1032747072769773600,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "10/20/2022 16:08:09",
"content": "tan(1/n^3(sqrt(n+5))) < 1/(n^2 sqrt(n+5))",
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"id": 1032747337380008100,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "10/20/2022 16:09:12",
"content": "So you get ln(1 + tan(...)) < tan(...) < 1/(n^2 sqrt(n+5))",
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"id": 1032747400340713600,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "10/20/2022 16:09:27",
"content": "since the series 1/(n^2 sqrt(n+5)) converges",
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},
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"id": 1032747427171684400,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "10/20/2022 16:09:34",
"content": "so does the series ln(1 + tan(...))",
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"author_name": "𝙅𝙤𝙝𝙣𝙣𝙮",
"timestamp": "10/20/2022 16:09:59",
"content": "Yes",
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"id": 1032747539616776300,
"author_id": 344121682358829060,
"author_name": "𝙅𝙤𝙝𝙣𝙣𝙮",
"timestamp": "10/20/2022 16:10:00",
"content": "Yes",
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"id": 1032747566678413300,
"author_id": 344121682358829060,
"author_name": "𝙅𝙤𝙝𝙣𝙣𝙮",
"timestamp": "10/20/2022 16:10:07",
"content": "I’m getting it sir",
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},
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"id": 1032747635066544100,
"author_id": 344121682358829060,
"author_name": "𝙅𝙤𝙝𝙣𝙣𝙮",
"timestamp": "10/20/2022 16:10:23",
"content": "Ty so much",
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},
{
"id": 1032747638312935600,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "10/20/2022 16:10:24",
"content": "Well thats it 🙂",
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},
{
"id": 1032747645640396900,
"author_id": 241927037135224830,
"author_name": "Sup?",
"timestamp": "10/20/2022 16:10:26",
"content": "np",
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"id": 1032747693346406400,
"author_id": 344121682358829060,
"author_name": "𝙅𝙤𝙝𝙣𝙣𝙮",
"timestamp": "10/20/2022 16:10:37",
"content": "Big love",
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help-9
|
983f2c2bdc264862aba673909bd0b0d6
|
199,284 |
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{
"id": 962682212975788000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/10/2022 07:55:25",
"content": "Available help channel!",
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"id": 962686598816862300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/10/2022 08:12:51",
"content": "```latex\n\\begin{align*}\n T(1) &= 1\\\\\n T(2) &= 1\\\\\n T(3) &= T(1) + T(2) + 1 = 1 + 1 + 1 = 3\\\\\n T(4) &= T(3) + T(2) + 1 = 3 + 1 + 1 = 5\\\\\n T(5) &= T(4) + T(3) + 1 = 5 + 3 + 1 = 9\\\\\n T(n) &= T(n-1) + T(n-2) + 1 = \n\\end{align*}\n```",
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"id": 962686609948565500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/10/2022 08:12:53",
"content": "whats the pattern here",
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},
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"id": 962686612171526100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/10/2022 08:12:54",
"content": "**mahmooz**",
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"author_name": "Deleted User",
"timestamp": "04/10/2022 08:13:30",
"content": "this is a recurrence relation for a function that computes fibonacci",
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},
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"id": 962687139051610100,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/10/2022 08:14:59",
"content": "Unclear what you're asking",
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},
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"id": 962687694935318500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/10/2022 08:17:12",
"content": "what the last equation simplifies to",
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"id": 962687762656547000,
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"author_name": "Deleted User",
"timestamp": "04/10/2022 08:17:28",
"content": "i want $T(n)$ in terms of $n$ only",
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},
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"id": 962687772534120400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/10/2022 08:17:30",
"content": "**mahmooz**",
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"id": 962687945570132100,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/10/2022 08:18:12",
"content": ",w solve T(n) = T(n-1) + T(n-2) + 1",
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},
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"id": 962688343039148000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/10/2022 08:19:46",
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"timestamp": "04/10/2022 08:20:01",
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"timestamp": "04/10/2022 08:20:02",
"content": "it says exponential behavior",
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"id": 962688492603838600,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/10/2022 08:20:22",
"content": "That's a neat solution haha",
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"id": 962688608442126300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/10/2022 08:20:50",
"content": "well it says exponential behavior but what does it mean",
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"id": 962688658182402000,
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"author_name": "Deleted User",
"timestamp": "04/10/2022 08:21:02",
"content": "i need the actual result lol",
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"id": 962688660992573400,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/10/2022 08:21:02",
"content": "I assume you have some method of solving recurrence relations?",
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"id": 962688705246670800,
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"author_name": "Deleted User",
"timestamp": "04/10/2022 08:21:13",
"content": "well yeah substitution",
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},
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"id": 962688757973274800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/10/2022 08:21:25",
"content": "which is exactly what im doing but i dont understand what the pattern simplifies to",
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},
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"id": 962688758728257500,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "04/10/2022 08:21:25",
"content": "it's just 2^n",
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},
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"id": 962688779162902500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/10/2022 08:21:30",
"content": "how come tho",
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},
{
"id": 962688926429085800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/10/2022 08:22:05",
"content": "i wanna know how to get from $T(n-1) + T(n-2) + 1$ to $2^n$",
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},
{
"id": 962688936738684900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/10/2022 08:22:08",
"content": "**mahmooz**",
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"timestamp": "04/10/2022 08:22:11",
"content": "You don't have a better method of getting the answer, so that has to be the intended solution",
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"timestamp": "04/10/2022 08:22:29",
"content": "There's ways to solve recurrences, worth checking.",
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"author_name": "Deleted User",
"timestamp": "04/10/2022 08:22:50",
"content": "i know i am studying them one by one i read about the master method and other methods",
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"timestamp": "04/10/2022 08:22:55",
"content": "but im studying substitution first",
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"timestamp": "04/10/2022 08:24:32",
"content": "im not sure its 2^n",
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"timestamp": "04/10/2022 08:24:43",
"content": "$2^1 \\neq 1$",
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"timestamp": "04/10/2022 08:24:45",
"content": "**mahmooz**",
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"timestamp": "04/10/2022 08:27:03",
"content": "wait but this is different from what i got",
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"timestamp": "04/10/2022 08:27:05",
"content": "im so confused",
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"timestamp": "04/10/2022 08:27:33",
"content": "youre right it should be 2^n+1",
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"timestamp": "04/10/2022 08:31:41",
"content": "but im not sure why lol",
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"timestamp": "04/10/2022 08:34:30",
"content": "Wow this is trippy",
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"timestamp": "04/10/2022 08:34:37",
"content": "I’ve solved this exact recurrence relation before",
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"timestamp": "04/10/2022 08:34:43",
"content": "Jesus",
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"author_name": "dk.dkn",
"timestamp": "04/10/2022 08:35:29",
"content": "Compare your values for each term to the fibonacci numbers",
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"timestamp": "04/10/2022 08:36:08",
"content": "Side-by-side",
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"timestamp": "04/10/2022 08:36:24",
"content": "(Notice your recurrence relation is incredibly similar to the fibonacci relation)",
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"timestamp": "04/10/2022 08:36:35",
"content": "Pattern should be clear and prove it inductively",
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"timestamp": "04/10/2022 08:37:31",
"content": "I heavily doubt you’ll find the explicit formula any other way",
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"timestamp": "04/10/2022 08:38:48",
"content": "Just for interest",
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"author_name": "dk.dkn",
"timestamp": "04/10/2022 08:39:10",
"content": "This is a question I solved where the answer is exactly what you’re asking!",
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"timestamp": "04/10/2022 08:40:33",
"content": "It’s not 2^n",
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"timestamp": "04/10/2022 08:41:11",
"content": "There are actually far more general ways to solve this stuff I found out about, but what I said is probably the easiest way",
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"author_name": "Mathematics Bot",
"timestamp": "04/10/2022 08:46:41",
"content": "@Deleted User Has your question been resolved?",
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"timestamp": "04/10/2022 08:56:52",
"content": "@Deleted Userwhy should it have a solution",
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"author_name": "frownyfrog",
"timestamp": "04/10/2022 08:57:18",
"content": "like if it was exactly fibs, the best closed form involves rounding",
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},
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"timestamp": "04/10/2022 08:57:30",
"content": "It has a solution",
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"timestamp": "04/10/2022 08:57:39",
"content": "ok",
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},
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"author_name": "dk.dkn",
"timestamp": "04/10/2022 08:57:59",
"content": "I’ve *literally solved this exact recurrence relation*",
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"author_name": "dk.dkn",
"timestamp": "04/10/2022 08:58:17",
"content": "As I said put it alongside the fibonacci numbers",
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},
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"id": 962698075393097900,
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"author_name": "dk.dkn",
"timestamp": "04/10/2022 08:58:27",
"content": "There’s an incredibly obvious pattern",
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},
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"id": 962698490310455300,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "04/10/2022 09:00:06",
"content": "Also there’s a closed form for the fibonacci numbers",
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"timestamp": "04/10/2022 09:00:19",
"content": "yes, that's what i'm talking about",
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"timestamp": "04/10/2022 09:00:25",
"content": "there isn't, you have to round",
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"timestamp": "04/10/2022 09:00:58",
"content": "",
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"timestamp": "04/10/2022 09:01:06",
"content": "You can derive it using generating functions",
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"author_name": "dk.dkn",
"timestamp": "04/10/2022 09:01:11",
"content": "I have a proof of it",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/10/2022 09:01:41",
"content": "Channel closed",
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}
] |
help-9
|
fea787f854824ee6a1091e7643f833ce
|
199,285 |
[
{
"id": 962698928309010400,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "04/10/2022 09:01:50",
"content": ".reopen",
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},
{
"id": 962698932499148800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "04/10/2022 09:01:51",
"content": "oh i didn't know",
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},
{
"id": 962698933665161200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/10/2022 09:01:51",
"content": "✅",
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},
{
"id": 962698974538657800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "04/10/2022 09:02:01",
"content": "ok, no objections then",
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},
{
"id": 962699534817968100,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "04/10/2022 09:04:15",
"content": "@Deleted User Your solution should be *incredibly* similar to this",
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"author_name": "Mathematics Bot",
"timestamp": "04/10/2022 09:16:50",
"content": "@Deleted User Has your question been resolved?",
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"id": 962704634701570200,
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"author_name": "frownyfrog",
"timestamp": "04/10/2022 09:24:31",
"content": "wolfram gave us the answer tho",
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},
{
"id": 962704664300748900,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "04/10/2022 09:24:38",
"content": "it's lucas + fib - 1",
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},
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"id": 962704693409222700,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "04/10/2022 09:24:45",
"content": "or 2fib - 1",
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},
{
"id": 962704758202830800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "04/10/2022 09:25:00",
"content": "depending on indexing",
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},
{
"id": 962704807032934500,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "04/10/2022 09:25:12",
"content": "it's the derivation that's missing",
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},
{
"id": 962704890600243200,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/10/2022 09:25:32",
"content": "Wolfram can't always be smart. This is a great example of wolfram using a poor method and getting a bad answer",
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},
{
"id": 962704949282754700,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/10/2022 09:25:46",
"content": "Because, yeah, the other answer is much more clear",
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},
{
"id": 962704997932482600,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "04/10/2022 09:25:57",
"content": "i'm confused",
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"id": 962705024197206100,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "04/10/2022 09:26:03",
"content": "the other?",
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"id": 962705137162391600,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/10/2022 09:26:30",
"content": "Did you not point out the other answer?",
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},
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"id": 962705195064762500,
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"author_name": "frownyfrog",
"timestamp": "04/10/2022 09:26:44",
"content": "they are different sequences",
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},
{
"id": 962705307295957100,
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"author_name": "frownyfrog",
"timestamp": "04/10/2022 09:27:11",
"content": "it's the difference between\nT(n) = T(n-1) + T(n-2) + 1; T(1) = 1; T(2) = 1\nand \nT(n) = T(n-1) + T(n-2) + 1; T(0) = 1; T(1) = 1",
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"id": 962705502314328200,
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"author_name": "Kaynex",
"timestamp": "04/10/2022 09:27:57",
"content": "That's kind of like shifting a function left. You just sub n+1",
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"id": 962705520089784300,
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"timestamp": "04/10/2022 09:28:02",
"content": "yes",
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},
{
"id": 962705597579554800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "04/10/2022 09:28:20",
"content": "i'm just saying wolfram did everything right",
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},
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"id": 962705767360786600,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/10/2022 09:29:01",
"content": "Is it not 2^(n-2) + 1?",
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},
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"id": 962705884864192500,
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"author_name": "frownyfrog",
"timestamp": "04/10/2022 09:29:29",
"content": "no, it's nothing simple like that",
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},
{
"id": 962705945765486600,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "04/10/2022 09:29:43",
"content": "1,1,3,5,9,15,25,41,67,109,177,287,465,753",
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},
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"author_name": "dk.dkn",
"timestamp": "04/10/2022 09:30:52",
"content": "Sorry aren’t we solving the recurrence 0, 1, 2, 4, 7, 12, 20, 33, 54",
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"timestamp": "04/10/2022 09:31:17",
"content": "I.e T(n) = T(n-2) + T(n-1) + 1",
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},
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"timestamp": "04/10/2022 09:31:32",
"content": "T(0) = 0, T(1) = 1",
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},
{
"id": 962706446120800300,
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"author_name": "frownyfrog",
"timestamp": "04/10/2022 09:31:42",
"content": "well maybe",
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"author_name": "Mathematics Bot",
"timestamp": "04/10/2022 09:31:51",
"content": "Channel closed",
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}
] |
help-9
|
baf2aa09583147999ccad2b1356e9d05
|
199,286 |
[
{
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"author_name": "frownyfrog",
"timestamp": "04/10/2022 09:31:57",
"content": "it's not what it was initially",
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},
{
"id": 962706520871665700,
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"timestamp": "04/10/2022 09:32:00",
"content": ".reopen",
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},
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"content": "I was referring to the original problem. I may have not followed the conversation well, my apologies.",
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"content": "Yeah these are completely different sequences",
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"content": "For T(0) = 0, T(1) = 1:",
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"content": "This is from a question I answered so just ignore irrelevant statements",
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"content": "I also have a derivation of the nth fibonacci number but I’m assuming we can assume knowledge of that here",
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"content": "Should say F_(n+2) not n-2 but yk",
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"content": "lol ive caused a long argument",
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"timestamp": "04/10/2022 09:45:28",
"content": "well someone suggested using induction",
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"content": "we have answers for both T(0) and T(1) but the derivation of either is crazy",
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"content": "Myself",
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"content": "which would probably work but my professor didnt mention induction at all lol",
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"content": "I don’t think it’s *that* bad",
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"timestamp": "04/10/2022 09:46:33",
"content": "this is a solution to a kinda similar question given by my professor",
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"content": "I just used the greek letters so I didn’t have to write out (1+/-sqrt(5))/2 all the time",
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"timestamp": "04/10/2022 09:47:01",
"content": "sorry its not in english but i think its obvious what everything means",
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"timestamp": "04/10/2022 09:49:30",
"content": "so maybe u guys have an idea how i can use such a process to solve the original problem?",
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"content": "Is your sequence where T(0) = 0, T(1) = 1",
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"content": "Or where T(1) = 1, T(2) = 1",
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"content": "They are different",
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"timestamp": "04/10/2022 09:50:18",
"content": "this",
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"timestamp": "04/10/2022 09:50:24",
"content": "the problem didnt mention t(0)",
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"content": "It did",
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"content": "See",
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"content": "it started at t(1)",
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"content": "It definitely mentions it",
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"timestamp": "04/10/2022 09:51:53",
"content": "‘Book also uses T(0) = 0 as an initial condition.’",
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"timestamp": "04/10/2022 09:52:34",
"content": "\"also\"",
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"timestamp": "04/10/2022 09:52:39",
"content": "so, secondary",
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"content": "I understand",
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"timestamp": "04/10/2022 09:52:48",
"content": "My point is it *mentions* it",
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"timestamp": "04/10/2022 09:53:36",
"content": "can i ask another question",
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"id": 962712092891300000,
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"author_name": "Deleted User",
"timestamp": "04/10/2022 09:54:09",
"content": "```python\n def F(A,i):\n if i == N:\n return\n if A[i] < min:\n min = A[i]\n F(A,i+1)\n F(A,i+1)\n```",
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"timestamp": "04/10/2022 09:54:14",
"content": "i need to find the time complexity of this",
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"timestamp": "04/10/2022 09:58:04",
"content": "```latex\n\\begin{align*}\n T(1) &= 1\\\\\n T(i) &= T(i-1) + T(i-1) = 2T(i-1)\\\\\n &= 2(2T(i-2))\\\\\n &= 2^2(2T(i-3)))\\\\\n &= 2^kT(i-k)\\\\\n &= 2^{i-1}T(i-(i-1)) &\\text{substitute } k = i-1\\\\\n &= 2^{i-1}T(1)\n\\end{align*}\n```",
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"timestamp": "04/10/2022 09:58:05",
"content": "is this correct?",
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"timestamp": "04/10/2022 09:58:07",
"content": "**mahmooz**",
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"timestamp": "04/10/2022 10:13:06",
"content": "@Deleted User Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
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4d4d5d3373e34932a0e974bcc751a16d
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199,287 |
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"timestamp": "03/20/2022 21:30:33",
"content": "Available help channel!",
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help-9
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cd5cbdd39f59474685c818fb98a1240f
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199,288 |
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"author_name": "Mathematics Bot",
"timestamp": "03/22/2022 16:57:13",
"content": "Available help channel!",
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"id": 955933949006336000,
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"content": "Pinned a message.",
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"id": 955933960117035000,
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"timestamp": "03/22/2022 17:00:16",
"content": "why is this incorrect",
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"id": 955934703825862700,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "03/22/2022 17:03:13",
"content": ",w expand w(3w+4)(w+6)",
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"timestamp": "03/22/2022 17:03:17",
"content": "Results provided by WolframAlpha",
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"id": 955934835422163000,
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"content": "try dividing both sides of the equation by 3",
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"timestamp": "03/22/2022 17:04:03",
"content": "or just writing the polynomial first",
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"id": 955934921069822100,
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"timestamp": "03/22/2022 17:04:05",
"content": "and then the constant",
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"timestamp": "03/22/2022 17:06:37",
"content": "doesnt work",
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"author_name": "Arcav",
"timestamp": "03/22/2022 17:06:57",
"content": "alright im gonna throw myself off a cliff",
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"timestamp": "03/22/2022 17:09:19",
"content": "Even I didn't spot that",
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"timestamp": "03/22/2022 17:09:22",
"content": "welp",
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"timestamp": "03/22/2022 17:09:40",
"content": "well, the important thing is that you meant to say it's a cube right",
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"timestamp": "03/22/2022 17:09:45",
"content": "So you were correct in essence",
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"timestamp": "03/22/2022 17:09:50",
"content": "you just miscommunicated",
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"id": 955936390791704600,
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"timestamp": "03/22/2022 17:09:56",
"content": "😉",
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"author_name": "Arcav",
"timestamp": "03/22/2022 17:11:04",
"content": "yeah time to do 30 extra questions cause of a typo",
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"timestamp": "03/22/2022 17:11:06",
"content": "fuck me man",
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"timestamp": "03/22/2022 17:11:11",
"content": "thanks for trying to help",
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"timestamp": "03/22/2022 17:11:15",
"content": ".close",
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help-9
|
f44a3dca4098419e908096f0c36bd58a
|
199,289 |
[
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},
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"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "04/10/2022 10:29:49",
"content": "Hi could someone check if these questions are right ?",
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},
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"content": "@soufflé Has your question been resolved?",
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"content": "Yep looks good",
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"timestamp": "04/10/2022 10:51:13",
"content": "Are there a simpler way to do it?",
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},
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"id": 962726526233751600,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "04/10/2022 10:51:30",
"content": "I think your way was pretty neat and simple",
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"author_name": "soufflé",
"timestamp": "04/10/2022 10:51:30",
"content": "This is my friend’s working but I don’t understand the dr/dt part",
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"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "04/10/2022 10:51:48",
"content": "Like why divide",
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},
{
"id": 962726713303920600,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "04/10/2022 10:52:15",
"content": "Look at what they put in the square brackets",
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},
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"id": 962726883521364000,
"author_id": 922322900571263000,
"author_name": "soufflé",
"timestamp": "04/10/2022 10:52:55",
"content": "Ohh 🤦🏻♀️🤦🏻♀️",
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"timestamp": "04/10/2022 10:52:59",
"content": "Tyvm !!",
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"timestamp": "04/10/2022 10:53:03",
"content": "Yea np",
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"content": ".close",
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"content": "Channel closed",
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] |
help-9
|
e4fa304f221e4f7eacd4496518157da2
|
199,290 |
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"id": 962731065217261700,
"author_id": 338138031221375000,
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"content": "my help channel was closed",
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] |
help-9
|
3e20482233fe40159082b42cf80d61cb
|
199,291 |
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"content": "Available help channel!",
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},
{
"id": 962734769160995000,
"author_id": 381524178165039100,
"author_name": "Door 'GG' VB",
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"author_name": "Door 'GG' VB",
"timestamp": "04/10/2022 11:24:41",
"content": "If i have a transformation phi defined like in the picture",
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"timestamp": "04/10/2022 11:25:08",
"content": "How would I go about finding the boundaries in the UV plane?",
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"id": 962735209852334100,
"author_id": 381524178165039100,
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"timestamp": "04/10/2022 11:26:00",
"content": "I have tried finding v(u) but I'm always hitting a dead end",
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"content": "The answer should be:",
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"id": 962739164489592800,
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"author_name": "riemann",
"timestamp": "04/10/2022 11:41:43",
"content": "You apply the transformation to the boundary?",
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"id": 962739362456535000,
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"content": "E.g. x in [0,1] and y=0 gets mapped to ?",
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"timestamp": "04/10/2022 11:47:31",
"content": "@Door 'GG' VB Has your question been resolved?",
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"author_name": "Door 'GG' VB",
"timestamp": "04/10/2022 11:59:21",
"content": "Many thanks",
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"content": ".close",
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] |
help-9
|
c8f500c52c6847298b07236d19da93cc
|
199,292 |
[
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"id": 962792144739909600,
"author_id": 826782202007519200,
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"content": "hoi",
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"content": "I'd like help finding a finite set with fundamental group Z2.",
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"id": 962792367465824300,
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"timestamp": "04/10/2022 15:13:08",
"content": "Also, helping me to show that finiteness and connetedness imply path connectedness would be great.",
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"content": "@Math Has your question been resolved?",
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"author_name": ".,..",
"timestamp": "04/10/2022 15:42:59",
"content": "Didn't understand a damn word",
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"content": "@Math Has your question been resolved?",
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help-9
|
31e1fb486ea94d1099f5aef766522c16
|
199,293 |
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},
{
"id": 962830310838534100,
"author_id": 933982695149670400,
"author_name": "🦖Dino🦕(🍄)",
"timestamp": "04/10/2022 17:43:54",
"content": "What are all the rewriting formulas(9th grade math)",
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"author_id": 933982695149670400,
"author_name": "🦖Dino🦕(🍄)",
"timestamp": "04/10/2022 17:46:33",
"content": "Like this",
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{
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"author_id": 933982695149670400,
"author_name": "🦖Dino🦕(🍄)",
"timestamp": "04/10/2022 17:47:04",
"content": "And this",
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},
{
"id": 962831107810787500,
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"author_name": "🦖Dino🦕(🍄)",
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"author_name": "dk.dkn",
"timestamp": "04/10/2022 17:47:12",
"content": "…move the terms that you don’t want over to the other side",
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"id": 962831228036350000,
"author_id": 933982695149670400,
"author_name": "🦖Dino🦕(🍄)",
"timestamp": "04/10/2022 17:47:33",
"content": "Example pls",
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"id": 962831473793179600,
"author_id": 331230447151349760,
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"timestamp": "04/10/2022 17:48:31",
"content": "4 = 2+2 right @🦖Dino🦕(🍄)",
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"id": 962831521138503700,
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"timestamp": "04/10/2022 17:48:43",
"content": "if you subtract 2 from both sides of the equation its still true",
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"id": 962831543443808300,
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"timestamp": "04/10/2022 17:48:48",
"content": "so 4-2 = 2+2-2",
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"author_id": 933982695149670400,
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"timestamp": "04/10/2022 17:48:56",
"content": "Ohhhh",
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"author_name": "🦖Dino🦕(🍄)",
"timestamp": "04/10/2022 17:49:19",
"content": ".close",
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help-9
|
0589f6d1440946b1aa470d380523d52d
|
199,294 |
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"content": "not looking for an answer to a question but more of an explanation to implicit differentiation because im seeing different explanation on youtube from what i have here on the book so im not sure",
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"content": "im trying to understand the way the book is explaining it but im having a hard time understanding it",
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"content": "when you take the derivative of y with respect to x, you get dy/dx no?",
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"content": "because that's the definition of a derivative",
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"content": "so if you where to take the derivative of, for example, 2y with respect to x, you would need to to use the chain rule. The derivative of the outside function, 2(y), would just be 2, and the derivative of the inside function y, would be dy/dx",
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"content": "so you'd get 2(dy/dx)",
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"content": "that's how I understand it with the chain rule",
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"content": "bro, it’s chain rule basically",
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"content": "but it that first page where apparently is case 1 i dont understand how dy/dx = -fx/fy",
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"content": "dy/dx = du/dx * dy/du",
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"content": "that’s kinda what you do",
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"content": "dy/dx * d/dy( of whatever the function is)",
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"content": "does it make sense?",
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"content": "well whats the explanation of case 2 or is that the same thing but with 3 variables?",
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"content": "wait a sec, partial derivatives?",
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"content": "nvm, normal ones",
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"content": "case 2 has just rewritten 3dF/dx = 0",
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"content": "nope",
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"content": "nvm",
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"content": "for example this question here im guessing i do what you said with dy/dx but what about the rest?",
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"content": "implicit diff is simple",
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"timestamp": "04/10/2022 18:29:41",
"content": "$\\frac{dz}{dx} + 3x^2 - 6x\\frac{dy}{dx} -6y =0$",
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"content": "that’s/ dx",
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"content": "*d/dx",
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"timestamp": "04/10/2022 18:31:43",
"content": "**Rylo**",
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"timestamp": "04/10/2022 18:31:49",
"content": "there ya go",
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"content": "do same kinda stuff for d/dy and d/dz",
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"content": "everything including x follows that tho, right?\ndx/dx = 1 so you don’t need to multiple it by that",
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"content": "but you’d need to do that for the rest",
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"content": "can you do that but for dx/dy just so i can know what im supposed to do. sorry im slow i need more than one example to understand",
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"content": "I’ll show you the general idea",
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"content": "$\\frac{d}{dx}(f(y))= \\frac{dy}{dx}f’(y)$",
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"content": "**Rylo**",
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"content": "$\\frac{dz}{dy} +3x^2\\frac{dx}{dy} -6y\\frac{dx}{dy} -6x = 0$",
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"content": "@MysticPanda Has your question been resolved?",
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] |
help-9
|
c32e761f20f846879ba7f229abc58ff2
|
199,295 |
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"content": "Or S",
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"content": "Or even both",
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"content": "Try 1 first",
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"content": "yeah",
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"content": "1 and 4 are the squares",
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"timestamp": "04/10/2022 19:13:48",
"content": "Exactly",
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"content": "So 1 and 4 should obviously be in F and S",
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"author_name": "M4tty",
"timestamp": "04/10/2022 19:14:10",
"content": "yes",
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},
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"id": 962853061385146500,
"author_id": 571344371333595140,
"author_name": "M4tty",
"timestamp": "04/10/2022 19:14:18",
"content": "and 2 3 are in f and p",
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"id": 962853085921828900,
"author_id": 842836522029678600,
"author_name": "Yeetus",
"timestamp": "04/10/2022 19:14:24",
"content": "Yes right right",
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"id": 962853106285179000,
"author_id": 571344371333595140,
"author_name": "M4tty",
"timestamp": "04/10/2022 19:14:29",
"content": "and 6 and 12 are in f",
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},
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"id": 962853142121291900,
"author_id": 842836522029678600,
"author_name": "Yeetus",
"timestamp": "04/10/2022 19:14:38",
"content": "Yup seems right to me",
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"content": "",
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"timestamp": "04/10/2022 19:15:09",
"content": "thanks",
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},
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"id": 962853284048166900,
"author_id": 571344371333595140,
"author_name": "M4tty",
"timestamp": "04/10/2022 19:15:11",
"content": ".close",
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},
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"id": 962853285834936300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/10/2022 19:15:12",
"content": "Channel closed",
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}
] |
help-9
|
59cfa124217a414bb5204db85ffc2f9f
|
199,296 |
[
{
"id": 962876972608934000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/10/2022 20:49:19",
"content": "Available help channel!",
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},
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"id": 962881564277080000,
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"author_name": "DanielP",
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"content": "Pinned a message.",
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"author_name": "DanielP",
"timestamp": "04/10/2022 21:07:41",
"content": "Lost on wat to do",
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},
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"id": 962882476596928500,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:11:11",
"content": "Do you know about stationary points and how to find them?",
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"id": 962882568489955300,
"author_id": 906566450007908400,
"author_name": "DanielP",
"timestamp": "04/10/2022 21:11:33",
"content": "Polar points?",
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},
{
"id": 962882700329484300,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:12:05",
"content": "uhhhh",
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"id": 962882889899442200,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:12:50",
"content": "ignore me",
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},
{
"id": 962883094841553200,
"author_id": 906566450007908400,
"author_name": "DanielP",
"timestamp": "04/10/2022 21:13:39",
"content": "Not sure wat ur talking about",
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},
{
"id": 962883158951489700,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:13:54",
"content": "thought this was just a function",
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},
{
"id": 962883191553790000,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:14:02",
"content": "it's polar coords",
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},
{
"id": 962883222528729200,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:14:09",
"content": "god sorry i'm tired",
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},
{
"id": 962883223958999000,
"author_id": 906566450007908400,
"author_name": "DanielP",
"timestamp": "04/10/2022 21:14:10",
"content": "Yes",
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},
{
"id": 962883277427978400,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:14:22",
"content": "well for the zeros part",
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"id": 962883401550008300,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:14:52",
"content": "just solve sin(3theta)=0",
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"id": 962883890295480400,
"author_id": 906566450007908400,
"author_name": "DanielP",
"timestamp": "04/10/2022 21:16:48",
"content": "That equals 0 right?",
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"id": 962883947367399400,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:17:02",
"content": "yeah",
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},
{
"id": 962883991948623900,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:17:13",
"content": "but there's more than one solution",
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"id": 962884020130177000,
"author_id": 906566450007908400,
"author_name": "DanielP",
"timestamp": "04/10/2022 21:17:19",
"content": "Yeah 3",
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"id": 962884049939103700,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:17:27",
"content": "indeed",
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"id": 962884164422598700,
"author_id": 906566450007908400,
"author_name": "DanielP",
"timestamp": "04/10/2022 21:17:54",
"content": "I have to add and divide certain angle measures right?",
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"id": 962884231627964500,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:18:10",
"content": "yes",
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"id": 962884363270373400,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:18:41",
"content": "you know that sin(0) sin(pi) and sin(2pi) =0",
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"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:19:12",
"content": "so just set theta equal to those angles",
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},
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"id": 962884686818988000,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:19:58",
"content": "not so sure about the maximums not sure what they mean",
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"id": 962884746206142600,
"author_id": 906566450007908400,
"author_name": "DanielP",
"timestamp": "04/10/2022 21:20:13",
"content": "Ahhh i see",
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"id": 962884822353711100,
"author_id": 906566450007908400,
"author_name": "DanielP",
"timestamp": "04/10/2022 21:20:31",
"content": "Ty",
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"author_name": "DanielP",
"timestamp": "04/10/2022 21:21:46",
"content": "Think u have to find at wat angles 7 is max",
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"id": 962885199597809800,
"author_id": 906566450007908400,
"author_name": "DanielP",
"timestamp": "04/10/2022 21:22:01",
"content": "Stuck on how to find the angles",
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},
{
"id": 962885237463994400,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:22:10",
"content": "as in the largest possible value of r?",
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"id": 962885387758481400,
"author_id": 906566450007908400,
"author_name": "DanielP",
"timestamp": "04/10/2022 21:22:45",
"content": "I think so",
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},
{
"id": 962885432448794600,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:22:56",
"content": "right in this case it's similar",
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},
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"id": 962885461716664300,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:23:03",
"content": "think of the function sin",
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},
{
"id": 962885495732461600,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:23:11",
"content": "the largest value of sin is 1",
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},
{
"id": 962885576527319000,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:23:30",
"content": "and so you want to know when sin(3theta)=1",
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},
{
"id": 962885680822882400,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:23:55",
"content": "and so 7sin(3theta)=7",
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},
{
"id": 962885730613477400,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:24:07",
"content": "does that make sense?",
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"id": 962885826520428700,
"author_id": 906566450007908400,
"author_name": "DanielP",
"timestamp": "04/10/2022 21:24:30",
"content": "Yes",
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},
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"id": 962885862356570200,
"author_id": 477309481236037600,
"author_name": "ArtyLeAardvark",
"timestamp": "04/10/2022 21:24:39",
"content": "cool",
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},
{
"id": 962889814108147700,
"author_id": 906566450007908400,
"author_name": "DanielP",
"timestamp": "04/10/2022 21:40:21",
"content": ".close",
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},
{
"id": 962889815693623400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/10/2022 21:40:21",
"content": "Channel closed",
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}
] |
help-9
|
be1e425e11d84ee58fd86ea34102e900
|
199,297 |
[
{
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"author_name": "Mathematics Bot",
"timestamp": "04/10/2022 21:46:16",
"content": "Available help channel!",
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},
{
"id": 962891697451311100,
"author_id": 574758100914143200,
"author_name": "EPiK",
"timestamp": "04/10/2022 21:47:50",
"content": "How do I do the other problems?",
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"content": "Pinned a message.",
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"author_name": "Mathematics Bot",
"timestamp": "04/10/2022 22:02:50",
"content": "@EPiK Has your question been resolved?",
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"timestamp": "04/10/2022 22:35:25",
"content": "@EPiK Has your question been resolved?",
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"timestamp": "04/10/2022 23:36:05",
"content": "@EPiK Has your question been resolved?",
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"id": 962928706693779600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/11/2022 00:14:54",
"content": "Take the derivative with respect to x",
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"id": 962928727757582300,
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"author_name": "Umbraleviathan",
"timestamp": "04/11/2022 00:14:59",
"content": "Solve for convergence",
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"id": 962928736725004300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/11/2022 00:15:01",
"content": "And then again",
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},
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"id": 962928744547360900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/11/2022 00:15:03",
"content": "And then again",
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},
{
"id": 962928766038970500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/11/2022 00:15:08",
"content": "And then integrate it",
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},
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"id": 962928798251237400,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/11/2022 00:15:15",
"content": "What might help, if needed, is to expand it",
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"id": 962928849786650800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/11/2022 00:15:28",
"content": "Take the derivative of the expansion, and write a new general",
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},
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"id": 962928882263138300,
"author_id": 574758100914143200,
"author_name": "EPiK",
"timestamp": "04/11/2022 00:15:35",
"content": "so I can't take the derivative of originl sum?",
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},
{
"id": 962928907873574900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/11/2022 00:15:41",
"content": "Uh",
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},
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"id": 962928930417959000,
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"timestamp": "04/11/2022 00:15:47",
"content": "Just the general term I believe",
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},
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"id": 962928996545335300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/11/2022 00:16:03",
"content": "With respect to x",
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},
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"id": 962929066397302800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/11/2022 00:16:19",
"content": "Try that",
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},
{
"id": 962929078044852200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/11/2022 00:16:22",
"content": "But I gtg",
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},
{
"id": 962929133959131100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/11/2022 00:16:35",
"content": "If you face any trouble, DM me, I'll see if I can respond but I gotta sleep",
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},
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"id": 962930563604447400,
"author_id": 574758100914143200,
"author_name": "EPiK",
"timestamp": "04/11/2022 00:22:16",
"content": "ok thank you",
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},
{
"id": 962930604545040400,
"author_id": 574758100914143200,
"author_name": "EPiK",
"timestamp": "04/11/2022 00:22:26",
"content": ".close",
"attachments": [],
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},
{
"id": 962930605870415900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 00:22:26",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
75a4b06d970a4611bf999539be596469
|
199,298 |
[
{
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"timestamp": "04/11/2022 00:23:27",
"content": "Available help channel!",
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},
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"id": 962933015800066000,
"author_id": 422966675885916160,
"author_name": "itsamemario",
"timestamp": "04/11/2022 00:32:01",
"content": "How would you solve this: let X,y be elements of the real numbers such that (x^2)/9+ (y^2)/16=1, what is the maximum value of |x+y|",
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"timestamp": "04/11/2022 00:32:01",
"content": "Pinned a message.",
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"timestamp": "04/11/2022 00:32:19",
"content": "This is a mathematical proofs question",
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"timestamp": "04/11/2022 00:32:37",
"content": "I tried using the arithmetic geometric mean but I got lost part way",
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"timestamp": "04/11/2022 00:33:09",
"content": "Bc I end up with |xy| less or equal to 6",
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"timestamp": "04/11/2022 00:33:22",
"content": "And not |x+y|",
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"timestamp": "04/11/2022 00:37:14",
"content": "So I multiplied the 9 and 16 to get the same denominator, and multiplied the denominator to the other side",
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"timestamp": "04/11/2022 00:37:30",
"content": "Leaving 16x^2 + 9y^2 = 144",
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"timestamp": "04/11/2022 00:40:04",
"content": "@itsamemario My guess would be to reduce it to one variable.",
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"timestamp": "04/11/2022 00:48:21",
"content": "Yeah, that seems to work.",
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"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 00:48:35",
"content": "Get y in terms of x, then replace y in |x + y|.",
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"author_name": "itsamemario",
"timestamp": "04/11/2022 00:49:46",
"content": "y= sqrt(9-x^2) -4/3",
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"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 00:50:22",
"content": "How did you get that?",
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"author_name": "itsamemario",
"timestamp": "04/11/2022 00:50:44",
"content": "Lemme restart",
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"author_name": "itsamemario",
"timestamp": "04/11/2022 00:52:45",
"content": "y= Sqrt(16-(16x^2)/9)",
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"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 00:53:07",
"content": "Good, so |x + sqrt(16 - 16/9 x²)|",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 00:53:23",
"content": "So, find the domain and use the first derivative to get the extreme points.",
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"timestamp": "04/11/2022 00:53:30",
"content": "We can’t use calculus",
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"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 00:53:37",
"content": "What can you use?",
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"author_name": "itsamemario",
"timestamp": "04/11/2022 00:53:42",
"content": "It’s a proofs course not a calculus course rip",
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"author_name": "itsamemario",
"timestamp": "04/11/2022 00:54:16",
"content": "Arithmetic geometric mean inequality,",
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"author_id": 701781122496987300,
"author_name": "Prakhar",
"timestamp": "04/11/2022 00:54:25",
"content": "can u use parameters?",
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"author_id": 422966675885916160,
"author_name": "itsamemario",
"timestamp": "04/11/2022 00:54:48",
"content": "I think so?",
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"author_id": 422966675885916160,
"author_name": "itsamemario",
"timestamp": "04/11/2022 00:54:52",
"content": "I’m not sure what that means",
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"author_name": "Prakhar",
"timestamp": "04/11/2022 00:55:59",
"content": "as in, if you replace x with 3sin(t) and y with 4cos(t), it will be way easier",
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"author_name": "itsamemario",
"timestamp": "04/11/2022 00:56:07",
"content": "Oh no we can’t use that",
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"author_name": "Prakhar",
"timestamp": "04/11/2022 00:56:10",
"content": "where t is just a parameter",
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"author_name": "itsamemario",
"timestamp": "04/11/2022 00:56:51",
"content": "Bc X and Y are real numbers not necessarily functions",
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"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 00:57:16",
"content": "Well, 3 sin(t) is a real number because t is a real number.",
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"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 00:57:25",
"content": "Not sure if that's the right way or not.",
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"timestamp": "04/11/2022 00:57:58",
"content": "It’s just basic introductory mathematical proofs",
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"author_name": "itsamemario",
"timestamp": "04/11/2022 00:58:09",
"content": "We weren’t taught to use parameters for it rip",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 00:58:31",
"content": "What's the AM-GM inequality say?",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 00:58:39",
"content": "I haven't really dealt with it much.",
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"timestamp": "04/11/2022 00:59:09",
"content": "xy less than equal to ((X+y)/2)^2",
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"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 01:00:02",
"content": "OK, so you got |xy| ≤ 6.",
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"timestamp": "04/11/2022 01:00:08",
"content": "Yeah",
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"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 01:01:14",
"content": "We can assume that x and y are nonnegative since the equation is the only thing that restricts them and it squares them, so the original sign can be either.",
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"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 01:01:34",
"content": "Might as well be nonnegative to maximize |x + y|.",
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"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 01:02:06",
"content": "So, |x + y| = x + y.",
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"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 01:02:17",
"content": "Though that might be hard to prove.",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 01:02:43",
"content": "You'd also have that xy ≤ 6.",
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"timestamp": "04/11/2022 01:05:13",
"content": "The triangle inequality is also something we can use",
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"author_name": "itsamemario",
"timestamp": "04/11/2022 01:05:31",
"content": "But I didn’t think this question required it",
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"id": 962941508892393600,
"author_id": 907839431640223700,
"author_name": "omer.",
"timestamp": "04/11/2022 01:05:46",
"content": "I am also invested in this question :thinkfold:",
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"id": 962941601238380500,
"author_id": 422966675885916160,
"author_name": "itsamemario",
"timestamp": "04/11/2022 01:06:08",
"content": "So idk prakhar you could be on the right track",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 01:07:34",
"content": "Sorry, have to go.",
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"id": 962942001584672800,
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"author_name": "itsamemario",
"timestamp": "04/11/2022 01:07:43",
"content": "Rip ty for ur help",
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"id": 962942369248989200,
"author_id": 907839431640223700,
"author_name": "omer.",
"timestamp": "04/11/2022 01:09:11",
"content": "@Helpers since unfortunately our last hope has left us and we havent had any solution path for >15m 😄",
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"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 01:22:44",
"content": "@itsamemario Has your question been resolved?",
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"timestamp": "04/11/2022 01:22:57",
"content": "It hasn’t",
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"id": 962950655687942100,
"author_id": 942888555770945700,
"author_name": "Beluwuga",
"timestamp": "04/11/2022 01:42:07",
"content": "I need job",
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},
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"id": 962952226710646800,
"author_id": 422966675885916160,
"author_name": "itsamemario",
"timestamp": "04/11/2022 01:48:21",
"content": "What",
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"author_name": "Beluwuga",
"timestamp": "04/11/2022 01:50:49",
"content": "I need a job in discord",
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"timestamp": "04/11/2022 02:18:21",
"content": "@itsamemario Has your question been resolved?",
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"author_name": "Jim Halpert",
"timestamp": "04/11/2022 02:24:45",
"content": "try writing it in terms of trig functions (sin,cos) then maximize",
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] |
help-9
|
0a6ff82dffc2402b80e4faec6883837a
|
199,299 |
[
{
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"author_name": "Mathematics Bot",
"timestamp": "03/22/2022 18:02:08",
"content": "Available help channel!",
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"id": 955951236312617000,
"author_id": 587696976951377900,
"author_name": "eswag",
"timestamp": "03/22/2022 18:08:55",
"content": "Hi there",
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{
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"timestamp": "03/22/2022 18:08:55",
"content": "Pinned a message.",
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"timestamp": "03/22/2022 18:09:03",
"content": "I have a question regarding a summation that I am trying to express generally",
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"timestamp": "03/22/2022 18:10:04",
"content": "am i able to write a summation such that",
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"id": 955951580769812500,
"author_id": 587696976951377900,
"author_name": "eswag",
"timestamp": "03/22/2022 18:10:17",
"content": "from n = 1 to k, (i_n)^3?",
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{
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"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/22/2022 18:10:43",
"content": "What's I?",
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{
"id": 955951705885933700,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/22/2022 18:10:47",
"content": "i*",
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},
{
"id": 955951732142256300,
"author_id": 587696976951377900,
"author_name": "eswag",
"timestamp": "03/22/2022 18:10:53",
"content": "",
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{
"id": 955951740908359700,
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"author_name": "eswag",
"timestamp": "03/22/2022 18:10:55",
"content": "Something like this",
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},
{
"id": 955951761577902100,
"author_id": 587696976951377900,
"author_name": "eswag",
"timestamp": "03/22/2022 18:11:00",
"content": "I don't want i to be defined",
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{
"id": 955951776761278500,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/22/2022 18:11:04",
"content": "Then yes",
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"id": 955951799116902400,
"author_id": 587696976951377900,
"author_name": "eswag",
"timestamp": "03/22/2022 18:11:09",
"content": "But I do want to know if I can translate that into the general formula",
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"id": 955951807471956100,
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"timestamp": "03/22/2022 18:11:11",
"content": "for i^3",
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{
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"author_name": "eswag",
"timestamp": "03/22/2022 18:11:16",
"content": "Or is that not possible",
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"timestamp": "03/22/2022 18:11:20",
"content": "It'd depend on what i is",
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"timestamp": "03/22/2022 18:11:38",
"content": "Yeah so right now I'm stuck on a problem regarding",
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"author_name": "Omegabet_",
"timestamp": "03/22/2022 18:11:47",
"content": "If it's the natural numbers, then its k^2(k-1)^2/4",
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"content": "If I have a value n to be the sum of k integer cubes, show that -n is also k integer cubes",
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"content": "The formula depends heavily on these being consecutive cube numbers",
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"content": "I am thinking if I can use summations",
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"timestamp": "03/22/2022 18:12:12",
"content": "To show that for n and for -n",
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"content": "But yeah i see that they need to be consecutive",
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"timestamp": "03/22/2022 18:12:32",
"content": "So n= sum of cubed integers, show -n is too?",
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"timestamp": "03/22/2022 18:12:33",
"content": "So I am just thinking how to write a proof for that point",
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"timestamp": "03/22/2022 18:12:37",
"content": "Yeah for example",
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"timestamp": "03/22/2022 18:12:42",
"content": "4 = 4 * 1^3",
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"timestamp": "03/22/2022 18:12:46",
"content": "-4 = 4 * (-1)^3",
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"timestamp": "03/22/2022 18:12:51",
"content": "Yeah",
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"timestamp": "03/22/2022 18:12:56",
"content": "And that's the proof lol",
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"timestamp": "03/22/2022 18:13:05",
"content": "Well how to show for all n",
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"timestamp": "03/22/2022 18:13:10",
"content": "Do I need to?",
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"timestamp": "03/22/2022 18:13:31",
"content": "Can you post the question verbatim?",
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"timestamp": "03/22/2022 18:13:43",
"content": "Cause rn were jumping around a bit",
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"content": "",
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"timestamp": "03/22/2022 18:14:06",
"content": "Right",
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"author_name": "Kaynex",
"timestamp": "03/22/2022 18:14:25",
"content": "Oh man I don't know how you're going to get 10 points out of this",
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"timestamp": "03/22/2022 18:14:30",
"content": "So sps -n= sum of cubed integers, show that n is as well",
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"timestamp": "03/22/2022 18:14:41",
"content": "Nowhere do we care about for all n",
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"timestamp": "03/22/2022 18:14:54",
"content": "hm?",
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"timestamp": "03/22/2022 18:15:07",
"content": "odd",
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"timestamp": "03/22/2022 18:15:32",
"content": "Phrase it less demanding tbh",
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"timestamp": "03/22/2022 18:16:06",
"content": "oh",
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"timestamp": "03/22/2022 18:16:14",
"content": "f(-x) = -f(x)",
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"author_name": "Kaynex",
"timestamp": "03/22/2022 18:16:57",
"content": "More specifically, it does say that (-x)^3 = -(x^3)",
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"timestamp": "03/22/2022 18:17:06",
"content": "Okay",
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"timestamp": "03/22/2022 18:17:19",
"content": "I can see that yes",
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"author_name": "Kaynex",
"timestamp": "03/22/2022 18:17:25",
"content": "This is a roundabout way to say \"if q is a qube, then -q is as well\"",
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"timestamp": "03/22/2022 18:17:33",
"content": "Huh",
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"timestamp": "03/22/2022 18:17:48",
"content": "Yeah if n is a sum of k integer cubes",
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"author_name": "eswag",
"timestamp": "03/22/2022 18:17:59",
"content": "im not sure how to notate the sum part",
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"timestamp": "03/22/2022 18:18:03",
"content": "oh wait",
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"author_name": "eswag",
"timestamp": "03/22/2022 18:18:10",
"content": "do i assume if i add cubes together the end result is a cube",
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"timestamp": "03/22/2022 18:18:21",
"content": "nvm LMAO",
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"timestamp": "03/22/2022 18:18:29",
"content": "that is completely wrong i apologize",
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"author_name": "Omegabet_",
"timestamp": "03/22/2022 18:19:15",
"content": "$n=\\sum_{i=1}^k x_i^3, x_i\\in\\mathbb{Z}$ for reference on how to denote it",
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"timestamp": "03/22/2022 18:19:15",
"content": "okay",
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"author_name": "TeXit",
"timestamp": "03/22/2022 18:19:17",
"content": "**Mosh**",
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"content": "yeah i understand this",
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"content": "Im unable to understand what you are getting at",
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"timestamp": "03/22/2022 18:20:03",
"content": "Why should we ignore the fact that its a sum of cubes",
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"timestamp": "03/22/2022 18:20:19",
"content": "Okay",
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"timestamp": "03/22/2022 18:20:41",
"content": "do i just use this formula and substitute that within",
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"timestamp": "03/22/2022 18:20:43",
"content": "the big formula",
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"timestamp": "03/22/2022 18:20:45",
"content": "and call it a day",
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"timestamp": "03/22/2022 18:20:55",
"content": "could that work?",
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"timestamp": "03/22/2022 18:21:08",
"content": "if we take that representation for n",
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"timestamp": "03/22/2022 18:21:35",
"content": "okay",
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"timestamp": "03/22/2022 18:21:48",
"content": "right",
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"author_name": "eswag",
"timestamp": "03/22/2022 18:22:32",
"content": "we negate the entire thing",
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"author_name": "eswag",
"timestamp": "03/22/2022 18:22:38",
"content": "- (a^3 + b^3 + c^3)",
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"author_name": "Omegabet_",
"timestamp": "03/22/2022 18:23:17",
"content": "Yes that would be -n, can you write it as a sum of 3 cubes?",
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"timestamp": "03/22/2022 18:24:05",
"content": "uh",
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"author_name": "eswag",
"timestamp": "03/22/2022 18:24:10",
"content": "i suppose theres a formula",
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"timestamp": "03/22/2022 18:24:20",
"content": "Hint: Distributive law",
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"author_name": "eswag",
"timestamp": "03/22/2022 18:25:12",
"content": "im not sure what you mean by write it as a sum of 3 cubes",
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"author_name": "eswag",
"timestamp": "03/22/2022 18:25:19",
"content": "dont we already have it as a sum of 3 cubes",
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"timestamp": "03/22/2022 18:25:24",
"content": "we're just negating the end result",
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"timestamp": "03/22/2022 18:25:34",
"content": "write -n=x^3+y^3+z^3",
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"author_name": "Omegabet_",
"timestamp": "03/22/2022 18:25:51",
"content": "Where x, y and z may depend on a, b and c",
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"author_name": "eswag",
"timestamp": "03/22/2022 18:26:44",
"content": "so you guys are saying the problem is that n = x^3 + y^3 + z^3 and -n = x^3 + y^3 + z^3",
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"timestamp": "03/22/2022 18:26:48",
"content": "No",
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"timestamp": "03/22/2022 18:27:24",
"content": "Sorry I'm just confused as to what you guys are trying to explain",
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"timestamp": "03/22/2022 18:27:30",
"content": "Say you can write n as a sum of 3 cubes, ie n=a^3+b^3+c^3",
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"timestamp": "03/22/2022 18:27:33",
"content": "Right?",
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"timestamp": "03/22/2022 18:28:13",
"content": "Well if we distribute it then -a^3 - b^3 - c^3",
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"timestamp": "03/22/2022 18:28:17",
"content": "Yes",
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"timestamp": "03/22/2022 18:28:22",
"content": "That is -n",
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"timestamp": "03/22/2022 18:28:34",
"content": "However we know -a^3=(-a)^3",
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"timestamp": "03/22/2022 18:28:40",
"content": "Same for b and c",
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"timestamp": "03/22/2022 18:29:17",
"content": "So -n=(-a)^3+(-b)^3+(-c)^3",
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"author_name": "eswag",
"timestamp": "03/22/2022 18:29:20",
"content": "so you're saying -a^3 - b^3 - c^3 = (-a)^3 + (-b)^3 + (-c)^3",
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"timestamp": "03/22/2022 18:29:23",
"content": "Yep",
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"author_name": "eswag",
"timestamp": "03/22/2022 18:29:39",
"content": "And we can just substitute that with any number of cubes",
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"author_name": "eswag",
"timestamp": "03/22/2022 18:29:44",
"content": "doesnt need to be three cubes",
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"id": 955956476386623500,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/22/2022 18:29:44",
"content": "And this is a sum of 3 cubes",
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"timestamp": "03/22/2022 18:29:47",
"content": "Yes",
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"author_name": "eswag",
"timestamp": "03/22/2022 18:30:02",
"content": "I appreciate the sarcasm I guess",
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"author_name": "Omegabet_",
"timestamp": "03/22/2022 18:30:06",
"content": "The generalization to an arbitrary k is obvious",
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"timestamp": "03/22/2022 18:30:43",
"content": "I mean if we have n to be this",
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"author_name": "eswag",
"timestamp": "03/22/2022 18:30:48",
"content": "we can just write it out",
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"id": 955956803865313300,
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"author_name": "eswag",
"timestamp": "03/22/2022 18:31:02",
"content": "and show the negation as well right",
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"author_name": "eswag",
"timestamp": "03/22/2022 18:31:42",
"content": "like n would be x_1 ^ 3 + ... + x_k ^ 3 and then -n would just be the the same thing with a negative in front of all terms",
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"id": 955957113216192500,
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"author_name": "eswag",
"timestamp": "03/22/2022 18:32:16",
"content": "yea sorry no sigma",
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"id": 955957130261844000,
"author_id": 587696976951377900,
"author_name": "eswag",
"timestamp": "03/22/2022 18:32:20",
"content": "we already write it out so need for sigma",
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"id": 955957241322815500,
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"author_name": "eswag",
"timestamp": "03/22/2022 18:32:47",
"content": "yea this one",
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"id": 955957246779621500,
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"author_name": "eswag",
"timestamp": "03/22/2022 18:32:48",
"content": "I understand now",
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"id": 955957279897833500,
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"author_name": "eswag",
"timestamp": "03/22/2022 18:32:56",
"content": "Sorry if the quesiton was an inconvenience",
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"id": 955957286558376000,
"author_id": 587696976951377900,
"author_name": "eswag",
"timestamp": "03/22/2022 18:32:57",
"content": "I apologize",
"attachments": [],
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},
{
"id": 955957334167928800,
"author_id": 587696976951377900,
"author_name": "eswag",
"timestamp": "03/22/2022 18:33:09",
"content": "Thank you @flr @Omegabet_ @Kaynex",
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"timestamp": "03/22/2022 18:33:25",
"content": "Have a good rest of your evening",
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"id": 955957444998213600,
"author_id": 587696976951377900,
"author_name": "eswag",
"timestamp": "03/22/2022 18:33:35",
"content": ".close",
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},
{
"id": 955957446600450200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/22/2022 18:33:36",
"content": "Channel closed",
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}
] |
help-9
|
b017be0b56d846298269b26f31d72901
|
199,300 |
[
{
"id": 962967352792739800,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "04/11/2022 02:48:27",
"content": "Hmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962967400570048500,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "04/11/2022 02:48:39",
"content": "@itsamemario reopen",
"attachments": [],
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"id": 962967414511907000,
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"author_name": "abs_0",
"timestamp": "04/11/2022 02:48:42",
"content": "It’s a cool question",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962980774360002600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 03:41:47",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962982825211076600,
"author_id": 482729024351764500,
"author_name": "Martinezz",
"timestamp": "04/11/2022 03:49:56",
"content": "Are two lines that overlap each other ( same slope and same y-intercept ) parallel?",
"attachments": [],
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},
{
"id": 962982827278868500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 03:49:57",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
"messageId": 962982825211076600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 962986219736821800,
"author_id": 482729024351764500,
"author_name": "Martinezz",
"timestamp": "04/11/2022 04:03:26",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 962986492152643600,
"author_id": 842836522029678600,
"author_name": "Yeetus",
"timestamp": "04/11/2022 04:04:31",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 962986550541553700,
"author_id": 842836522029678600,
"author_name": "Yeetus",
"timestamp": "04/11/2022 04:04:45",
"content": "No wait I read that wrong",
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"reference": null
},
{
"id": 962986677469581400,
"author_id": 842836522029678600,
"author_name": "Yeetus",
"timestamp": "04/11/2022 04:05:15",
"content": "Pretty sure it isn't",
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"reference": null
},
{
"id": 962987246200451100,
"author_id": 482729024351764500,
"author_name": "Martinezz",
"timestamp": "04/11/2022 04:07:30",
"content": "Thanks bro",
"attachments": [],
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"reference": null
},
{
"id": 962987260838551600,
"author_id": 482729024351764500,
"author_name": "Martinezz",
"timestamp": "04/11/2022 04:07:34",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 962987262348501000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 04:07:34",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
a1992e1f41014618b50e09da3d908781
|
199,301 |
[
{
"id": 962987515185352700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 04:08:35",
"content": "Available help channel!",
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},
{
"id": 962988583558459400,
"author_id": 756062513011097600,
"author_name": "Acrab",
"timestamp": "04/11/2022 04:12:49",
"content": "say...if λ is an eigenvalue, what is the difference between the corresponding eigenvectors and its eigenspace E_λ?",
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},
{
"id": 962988586863575000,
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"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 04:12:50",
"content": "Pinned a message.",
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{
"id": 962992230136696800,
"author_id": 756062513011097600,
"author_name": "Acrab",
"timestamp": "04/11/2022 04:27:19",
"content": "@Helpers",
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},
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"id": 962996006104989700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 04:42:19",
"content": "@Acrab Has your question been resolved?",
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"id": 962998875231252500,
"author_id": 206683487544147970,
"author_name": "Emundo",
"timestamp": "04/11/2022 04:53:43",
"content": "The eigenspace is the space, which is created by your eigenvectors. If you only have one Eigenvector, your Eigenspace ist just the span of this eigenvector",
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"id": 962999781410603000,
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"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 04:57:19",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
a056487b75e3417ba09e758e0b8ec10b
|
199,302 |
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{
"id": 963000034771730400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 04:58:19",
"content": "Available help channel!",
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"reference": null
},
{
"id": 963003411824017400,
"author_id": 369047098068303900,
"author_name": "Vinegar",
"timestamp": "04/11/2022 05:11:45",
"content": "Greetings\nI am stuck at Q10(ii)\nI do not have any working because I literally do not know where to begin\nWould appreciate any help 🙏",
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"content": "Pinned a message.",
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"timestamp": "04/11/2022 05:26:45",
"content": "@Vinegar Has your question been resolved?",
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"id": 963007842170855400,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/11/2022 05:29:21",
"content": "Have you found g^3(3)?",
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"id": 963008361467629600,
"author_id": 369047098068303900,
"author_name": "Vinegar",
"timestamp": "04/11/2022 05:31:25",
"content": "Nope",
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"id": 963008845221875700,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/11/2022 05:33:20",
"content": "Do you understand what g^3 means?",
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"id": 963009206645047300,
"author_id": 369047098068303900,
"author_name": "Vinegar",
"timestamp": "04/11/2022 05:34:46",
"content": "g mapped onto itself 3 times",
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"id": 963009296713519100,
"author_id": 369047098068303900,
"author_name": "Vinegar",
"timestamp": "04/11/2022 05:35:08",
"content": "basically g(g(g(x)))",
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"author_name": "ScapeProf",
"timestamp": "04/11/2022 05:35:12",
"content": "Indeed",
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"id": 963009335330496500,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/11/2022 05:35:17",
"content": "So what are you stuck on?",
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"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/11/2022 05:35:23",
"content": "Start with g(g(3))",
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"id": 963009377093185500,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/11/2022 05:35:27",
"content": "Then take g on that again",
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"id": 963009388287778800,
"author_id": 369047098068303900,
"author_name": "Vinegar",
"timestamp": "04/11/2022 05:35:30",
"content": "idk how to continue without a definition",
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},
{
"id": 963009426439168000,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/11/2022 05:35:39",
"content": "You are given g(3)",
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"id": 963009437545660400,
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"author_name": "Vinegar",
"timestamp": "04/11/2022 05:35:41",
"content": "yep",
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},
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"id": 963009444671807500,
"author_id": 369047098068303900,
"author_name": "Vinegar",
"timestamp": "04/11/2022 05:35:43",
"content": "which is 1",
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"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/11/2022 05:35:50",
"content": "So calculate g(1)?",
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"id": 963009504423841800,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/11/2022 05:35:57",
"content": "Then take g on that again",
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"id": 963009684980248600,
"author_id": 369047098068303900,
"author_name": "Vinegar",
"timestamp": "04/11/2022 05:36:40",
"content": "g(1) is 4",
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"id": 963009917294370800,
"author_id": 369047098068303900,
"author_name": "Vinegar",
"timestamp": "04/11/2022 05:37:36",
"content": "hmm yeah im still a bit confused on how to take g on from that",
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"author_name": "ScapeProf",
"timestamp": "04/11/2022 05:38:00",
"content": "Do you agree g(g(3))=g(1)=4?",
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"id": 963010056587206700,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/11/2022 05:38:09",
"content": "What is stopping you from doing the exact same",
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"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/11/2022 05:38:16",
"content": "And calculating g(g(g(3)))?",
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"author_id": 369047098068303900,
"author_name": "Vinegar",
"timestamp": "04/11/2022 05:38:29",
"content": "how do you reach that conclusion",
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"author_name": "Vinegar",
"timestamp": "04/11/2022 05:38:32",
"content": "its not that i disagree",
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"id": 963010177722900500,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/11/2022 05:38:38",
"content": "What conclusion",
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},
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"id": 963010179245408300,
"author_id": 369047098068303900,
"author_name": "Vinegar",
"timestamp": "04/11/2022 05:38:38",
"content": "i simply dont understand",
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"timestamp": "04/11/2022 05:38:45",
"content": ":",
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"timestamp": "04/11/2022 05:38:53",
"content": "g(3)=1?",
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"author_name": "ScapeProf",
"timestamp": "04/11/2022 05:38:59",
"content": "So replace g(3) with 1?",
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"timestamp": "04/11/2022 05:39:15",
"content": "wow",
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},
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"author_name": "Vinegar",
"timestamp": "04/11/2022 05:39:19",
"content": "ok yeah that changes things",
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},
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"author_name": "Vinegar",
"timestamp": "04/11/2022 05:39:31",
"content": "i get it know I'll try to continue first",
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"author_name": "Vinegar",
"timestamp": "04/11/2022 05:55:24",
"content": "alright I've figured it out thank you",
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"id": 963014406269198300,
"author_id": 369047098068303900,
"author_name": "Vinegar",
"timestamp": "04/11/2022 05:55:26",
"content": ".close",
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},
{
"id": 963014407720407000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 05:55:26",
"content": "Channel closed",
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}
] |
help-9
|
6c57a4eb70554c9c90636c6ceb66decd
|
199,303 |
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"timestamp": "04/11/2022 05:56:27",
"content": "Available help channel!",
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"content": "x2 - 8x - 15= 5",
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"content": "how can we help?",
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"content": ",tex $x^2 - 8x -15 = 5$",
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"content": "**\\|\\|𝓚𝓪𝓼𝓹𝓮𝓻\\|\\|**",
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"content": "assuming this is your question",
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"content": "But I just wana know in general I have some questions",
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"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/11/2022 06:09:20",
"content": "what is your question",
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"content": "So when is get two number that add -8 and add to -15",
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"content": "Which I got",
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"timestamp": "04/11/2022 06:10:09",
"content": "first you have to make it into",
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"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/11/2022 06:10:25",
"content": ",tex this format: $ax^2 +bx +c = 0$",
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"content": "**\\|\\|𝓚𝓪𝓼𝓹𝓮𝓻\\|\\|**",
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"content": "Yup",
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"content": "so",
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"timestamp": "04/11/2022 06:10:57",
"content": ",tex $x^2 -8x -20 = 0$",
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"content": "**\\|\\|𝓚𝓪𝓼𝓹𝓮𝓻\\|\\|**",
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"content": "Ain’t it already",
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"timestamp": "04/11/2022 06:11:10",
"content": "not this",
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"timestamp": "04/11/2022 06:11:28",
"content": "so -8 is the sum and -20 is the product",
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"timestamp": "04/11/2022 06:12:03",
"content": "@hello_idont",
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"content": "I don’t get this",
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"timestamp": "04/11/2022 06:12:20",
"content": "okay",
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"timestamp": "04/11/2022 06:12:25",
"content": "We just have to slice by factorising",
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"timestamp": "04/11/2022 06:12:30",
"content": "yes",
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"content": "this is the common way to do that",
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"timestamp": "04/11/2022 06:12:39",
"content": "Not quadratic formula",
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"timestamp": "04/11/2022 06:12:48",
"content": "yes",
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"timestamp": "04/11/2022 06:13:00",
"content": "8 is the sum of the roots",
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"timestamp": "04/11/2022 06:13:41",
"content": "Ok",
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"timestamp": "04/11/2022 06:13:53",
"content": "and -20 is the product of the roots",
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"timestamp": "04/11/2022 06:14:03",
"content": "consider this",
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"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/11/2022 06:14:15",
"content": ",tex $(x-a)(x-b) =0$",
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"timestamp": "04/11/2022 06:14:17",
"content": "**\\|\\|𝓚𝓪𝓼𝓹𝓮𝓻\\|\\|**",
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"content": "Yup",
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"timestamp": "04/11/2022 06:14:40",
"content": ",tex by expanding $x^2 -(a+b)x + ab = 0$",
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"content": "**\\|\\|𝓚𝓪𝓼𝓹𝓮𝓻\\|\\|**",
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"content": "Wait this is quadratic fromula",
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"timestamp": "04/11/2022 06:15:15",
"content": "yes",
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"timestamp": "04/11/2022 06:15:18",
"content": "in other forms",
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"content": "We have to do like another method",
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"timestamp": "04/11/2022 06:15:31",
"content": "a lot of them",
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"content": "Like the on when you find 2 numbers",
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"timestamp": "04/11/2022 06:16:02",
"content": "That add to 8 and time to 15",
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"timestamp": "04/11/2022 06:16:17",
"content": "it isn't 15 tho",
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"timestamp": "04/11/2022 06:16:39",
"content": "So like -3 and -2",
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"timestamp": "04/11/2022 06:16:52",
"content": "-5 and -3",
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"timestamp": "04/11/2022 06:16:57",
"content": "I meant",
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"timestamp": "04/11/2022 06:17:09",
"content": "for your question c = -15 - 5 = -20",
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"content": "Yes",
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"timestamp": "04/11/2022 06:17:37",
"content": "This",
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"timestamp": "04/11/2022 06:17:42",
"content": "yes",
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"timestamp": "04/11/2022 06:18:07",
"content": "for a more general result",
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"content": "Kk",
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},
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"id": 963020194027040800,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/11/2022 06:18:26",
"content": ",tex sum of roots $\\frac{-b}{a}$",
"attachments": [],
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"reference": null
},
{
"id": 963020204617650300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/11/2022 06:18:28",
"content": "**\\|\\|𝓚𝓪𝓼𝓹𝓮𝓻\\|\\|**",
"attachments": [
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"id": 963020255083511800,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "04/11/2022 06:18:40",
"content": "I never learnt",
"attachments": [],
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"reference": null
},
{
"id": 963020299643797500,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "04/11/2022 06:18:51",
"content": "Like the sum of roots and stuff",
"attachments": [],
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},
{
"id": 963020311962452000,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/11/2022 06:18:54",
"content": ",tex product of roots: $\\frac{c}{a}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963020321294778400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/11/2022 06:18:56",
"content": "**\\|\\|𝓚𝓪𝓼𝓹𝓮𝓻\\|\\|**",
"attachments": [
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"id": 963020346620002300,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/11/2022 06:19:02",
"content": "it comes in handy sometimes",
"attachments": [],
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"reference": null
},
{
"id": 963020405977784300,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "04/11/2022 06:19:16",
"content": "Ya but it a bit advanced for me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963020478732202000,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/11/2022 06:19:34",
"content": "it helps to handle cases where a isn't 1",
"attachments": [],
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"reference": null
},
{
"id": 963020638749089800,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "04/11/2022 06:20:12",
"content": "Kk",
"attachments": [],
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"reference": null
},
{
"id": 963020668117602300,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "04/11/2022 06:20:19",
"content": "I gtg",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963020681287716900,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/11/2022 06:20:22",
"content": "so do you understand now?",
"attachments": [],
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},
{
"id": 963020694042591200,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "04/11/2022 06:20:25",
"content": "Thanks for help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963020706982006800,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "04/11/2022 06:20:28",
"content": "Kinda",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963020721917943800,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/11/2022 06:20:32",
"content": "pls close it then",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963020747511595000,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/11/2022 06:20:38",
"content": "by using `.close`",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963020767740710900,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/11/2022 06:20:43",
"content": "for both channels",
"attachments": [],
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},
{
"id": 963020845415006200,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "04/11/2022 06:21:01",
"content": "Thank so much for the help .close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963020886716321800,
"author_id": 898139815525113900,
"author_name": "hello_idont",
"timestamp": "04/11/2022 06:21:11",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963020888788332500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 06:21:11",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
204fc135907745948877dda7c416e245
|
199,304 |
[
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"id": 963021141306380300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 06:22:12",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963021340581974000,
"author_id": 807887799536582700,
"author_name": "emmaish.c",
"timestamp": "04/11/2022 06:22:59",
"content": "Hi",
"attachments": [],
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},
{
"id": 963021344864350200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 06:23:00",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
"messageId": 963021340581974000,
"channelId": 486844875632017400,
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}
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"id": 963021642102096000,
"author_id": 807887799536582700,
"author_name": "emmaish.c",
"timestamp": "04/11/2022 06:24:11",
"content": "How do I use the trigonometric values to solve this question ?",
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"id": 963021852102496300,
"author_id": 807887799536582700,
"author_name": "emmaish.c",
"timestamp": "04/11/2022 06:25:01",
"content": "Or how am I supposed to solve this question?",
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},
{
"id": 963022160299958300,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/11/2022 06:26:15",
"content": "you can convert the angles back to critical values",
"attachments": [],
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},
{
"id": 963022253983944700,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/11/2022 06:26:37",
"content": "and drawing a cast diagram would be helpful",
"attachments": [],
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},
{
"id": 963022382774235100,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "04/11/2022 06:27:08",
"content": "do you know some basic trig formula",
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},
{
"id": 963022445093191800,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "04/11/2022 06:27:23",
"content": "like cos(90 deg + ?)",
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},
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"id": 963022453649580000,
"author_id": 807887799536582700,
"author_name": "emmaish.c",
"timestamp": "04/11/2022 06:27:25",
"content": "Yea I do @vin100",
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"id": 963022468006690800,
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"author_name": "emmaish.c",
"timestamp": "04/11/2022 06:27:28",
"content": "Yes",
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},
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"id": 963022544494002200,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/11/2022 06:27:46",
"content": "both approaches work",
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{
"id": 963022641638285400,
"author_id": 650996653981171700,
"author_name": "||𝓚𝓪𝓼𝓹𝓮𝓻||",
"timestamp": "04/11/2022 06:28:09",
"content": "you can either convert it back to first quad",
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},
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"id": 963022687238762500,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "04/11/2022 06:28:20",
"content": "say you hav sin 315 deg, it's (360 - 45)deg, so ...",
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},
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"id": 963023783256543200,
"author_id": 807887799536582700,
"author_name": "emmaish.c",
"timestamp": "04/11/2022 06:32:42",
"content": "Hi for cos600",
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},
{
"id": 963023912055222400,
"author_id": 807887799536582700,
"author_name": "emmaish.c",
"timestamp": "04/11/2022 06:33:12",
"content": "What am I supposed to do",
"attachments": [],
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},
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"id": 963023983786217500,
"author_id": 807887799536582700,
"author_name": "emmaish.c",
"timestamp": "04/11/2022 06:33:29",
"content": "",
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"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 06:48:30",
"content": "@emmaish.c Has your question been resolved?",
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"id": 963030412089778200,
"author_id": 355629427121455100,
"author_name": "whitefang",
"timestamp": "04/11/2022 06:59:02",
"content": "do you know that for example cos(20)=cos(360+20) ?",
"attachments": [],
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},
{
"id": 963030514678263800,
"author_id": 863267641129304000,
"author_name": "Lim x->O Dy/Dx= y(x+x\")-y(x)/x\"",
"timestamp": "04/11/2022 06:59:26",
"content": "wtf?",
"attachments": [],
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},
{
"id": 963030644278046800,
"author_id": 355629427121455100,
"author_name": "whitefang",
"timestamp": "04/11/2022 06:59:57",
"content": "?",
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},
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"id": 963031537010475000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 07:03:30",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
1f0a5374709146cbb97de74ab2fa79bc
|
199,305 |
[
{
"id": 963031789658591200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 07:04:30",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 963031840271261800,
"author_id": 499540241950965760,
"author_name": "grab",
"timestamp": "04/11/2022 07:04:42",
"content": "@Helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963031843253403600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 07:04:43",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
"messageId": 963031840271261800,
"channelId": 486844875632017400,
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}
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"timestamp": "04/11/2022 07:04:44",
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"id": 963032735713218600,
"author_id": 499540241950965760,
"author_name": "grab",
"timestamp": "04/11/2022 07:08:16",
"content": ".close",
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},
{
"id": 963032738313683000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 07:08:17",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
a68ce40e4dd64bee905d0cc87fc54d00
|
199,306 |
[
{
"id": 963034368106967000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 07:14:45",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963034636332724400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 07:15:49",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
"messageId": 963034634239742000,
"channelId": 486844875632017400,
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{
"id": 963034656796721200,
"author_id": 896927649602101200,
"author_name": "Kosta",
"timestamp": "04/11/2022 07:15:54",
"content": "could someone show me their working out to this",
"attachments": [],
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},
{
"id": 963038790329462800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 07:32:20",
"content": "@Kosta Has your question been resolved?",
"attachments": [],
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"timestamp": "04/11/2022 07:33:54",
"content": "Channel closed",
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}
] |
help-9
|
30314e82fe414c5292cdb4506c7e4986
|
199,307 |
[
{
"id": 963039439809040400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 07:34:54",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963041791525920800,
"author_id": 163892364681674750,
"author_name": "madlor",
"timestamp": "04/11/2022 07:44:15",
"content": "are geometric series a special case of taylor series?",
"attachments": [],
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},
{
"id": 963041793274970100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 07:44:15",
"content": "Pinned a message.",
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"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 07:59:15",
"content": "@madlor Has your question been resolved?",
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"id": 963045972945018900,
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"author_name": "madlor",
"timestamp": "04/11/2022 08:00:52",
"content": ".close",
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},
{
"id": 963045974111055900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 08:00:52",
"content": "Channel closed",
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}
] |
help-9
|
71a8ea7455134cc691757f866cd5941a
|
199,308 |
[
{
"id": 963046227254059000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 08:01:53",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963051452773838800,
"author_id": 781453570834563100,
"author_name": "echoloid",
"timestamp": "04/11/2022 08:22:38",
"content": "I'm trying to solve one important problem, and inorder to solve it I must solve this subproblem\n\nProb:\nFrom a given set of numbers, \nHow can I optimally find a number that can divide every number in the set with some divisor greater than 1 (the remainder need not to be 0)\n\nEx : {5,2,9,15} answer will be 2\n {5,15,24,13} answer should be 5\n {10,9,6,7,19} answer be like 6\n {3,5,4} answer could be like 3\n\nexplanations,{2×2+1,2,2×4+1,2×7+1} so since 2 divides with some divisor, ans: 2\n\n{3,3×1+2,3×1+2} answer be 3\n\nI was trying to deduce it by checking from 2 to one of those numbers and taking the highest but it's kinda laborious it seems,\n\npls note: I'm near high-school grade and the problem I was solving is a computer problem",
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"id": 963051454954876900,
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"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 08:22:39",
"content": "Pinned a message.",
"attachments": [],
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},
{
"id": 963053265468129300,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "04/11/2022 08:29:51",
"content": "wouldnt it like be... the smallest number in the set?",
"attachments": [],
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},
{
"id": 963053323529896100,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "04/11/2022 08:30:04",
"content": "yeah",
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"timestamp": "04/11/2022 08:30:18",
"content": "yea but we have to show it algorithmically",
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"timestamp": "04/11/2022 08:30:25",
"content": "```py\nl = [5,2,9,15]\nres = min(l)\n```",
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"timestamp": "04/11/2022 08:31:03",
"content": "Yea..",
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"timestamp": "04/11/2022 08:31:16",
"content": "which lang?",
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"author_name": "echoloid",
"timestamp": "04/11/2022 08:31:25",
"content": "Can I brief the problem I'm trying to solve",
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"timestamp": "04/11/2022 08:31:58",
"content": "yeah ig you should for better help",
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"timestamp": "04/11/2022 08:32:30",
"content": "I should find H-index from a given set of papers",
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"timestamp": "04/11/2022 08:32:44",
"content": "Wait but in the first set 2 divides 2 with rem = 0",
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"timestamp": "04/11/2022 08:33:20",
"content": "so? they mean that the rem need not be 0, but it very well can",
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"timestamp": "04/11/2022 08:33:42",
"content": "Yes it can...",
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"timestamp": "04/11/2022 08:34:14",
"content": "well",
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"content": "whatever",
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"author_name": "Oryp4ik",
"timestamp": "04/11/2022 08:34:23",
"content": "Just choose the max number + 1",
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"timestamp": "04/11/2022 08:34:43",
"content": "If I got it right",
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"content": "I'm not sure min will work though, like kinglacto suggested",
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"timestamp": "04/11/2022 08:35:23",
"content": "E. g. for { 2, 3 } you will choose 2, and the rem of division 3 by 2 is 1",
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"author_name": "echoloid",
"timestamp": "04/11/2022 08:36:08",
"content": "As I try to find H-index,\nWhen I pass from left to right papers through a well defined set, then \neach of the resultants should have\nlargest integer such that it has x papers with atleasr x elements",
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"timestamp": "04/11/2022 08:36:15",
"content": "@echoloid do you need the number to be the greatest possible number or anything?",
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"timestamp": "04/11/2022 08:36:58",
"content": "exactly, I also thought the same, it releated to GCD or LCM but it doesnt seem so while I implement",
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"content": "if you try GCD, it will enforce rem = 0",
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"timestamp": "04/11/2022 08:37:47",
"content": "when\n{5,1,2} answer to be {1,1,2}",
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"timestamp": "04/11/2022 08:38:09",
"content": "Need not to, that's the problem",
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"timestamp": "04/11/2022 08:41:36",
"content": "what are these numbers?",
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"timestamp": "04/11/2022 08:41:44",
"content": "{5,1,2}?",
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"timestamp": "04/11/2022 08:42:06",
"content": "that's the main problem, H-index",
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"timestamp": "04/11/2022 08:42:51",
"content": "But @kinglacto when {16,7} the answer should be 2 😓",
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"timestamp": "04/11/2022 08:43:17",
"content": "but what are 5,1 and 2 exactly?",
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"timestamp": "04/11/2022 08:44:03",
"content": "that's a big problem, I solved it using sets and I made abstraction over thus subproblem which seemed to be GCD",
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"timestamp": "04/11/2022 08:44:14",
"content": "pls focus here",
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"timestamp": "04/11/2022 08:44:41",
"content": "here when {16,7} answer is 2",
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"timestamp": "04/11/2022 08:45:31",
"content": "shouldnt it be 7?",
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"timestamp": "04/11/2022 08:45:39",
"content": "2×8 +1 \n\nand\n\n2×3 + 1",
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"timestamp": "04/11/2022 08:45:41",
"content": "since 16 ÷ 7 = 7 × 2 + 2",
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"timestamp": "04/11/2022 08:46:00",
"content": "so it's like 2 for my solution to work",
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"timestamp": "04/11/2022 08:46:26",
"content": "2 × 8 + 1 = 17",
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"timestamp": "04/11/2022 08:46:44",
"content": "let's say we need the least",
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"timestamp": "04/11/2022 08:47:07",
"content": "my bad 2×8 + 7",
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"timestamp": "04/11/2022 08:47:08",
"content": "then wouldnt 1 be better?",
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"timestamp": "04/11/2022 08:47:13",
"content": "Bruhh",
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"author_name": "echoloid",
"timestamp": "04/11/2022 08:47:16",
"content": "Nooooo",
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"timestamp": "04/11/2022 08:47:22",
"content": "Without 1",
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"timestamp": "04/11/2022 08:47:31",
"content": "aight aight",
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"content": "thats 23 btw",
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"timestamp": "04/11/2022 08:48:54",
"content": "😑 argh",
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"timestamp": "04/11/2022 08:49:21",
"content": "{3, 5, 4}",
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"timestamp": "04/11/2022 08:49:27",
"content": "the answer for this?",
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"timestamp": "04/11/2022 08:51:04",
"content": "Basically it's like it got 3 numbers,\n\nSo I will say 3 cause it can yield all those numbers",
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"timestamp": "04/11/2022 08:51:42",
"content": "3×1",
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"timestamp": "04/11/2022 08:51:48",
"content": "3×1 + 2",
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"timestamp": "04/11/2022 08:51:54",
"content": "3×1 + 1",
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"timestamp": "04/11/2022 08:51:59",
"content": "2 × 1 + 1\n2 × 2 + 1\n2 × 2 + 0",
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"timestamp": "04/11/2022 08:52:07",
"content": "2 can, as well",
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"author_name": "echoloid",
"timestamp": "04/11/2022 08:54:25",
"content": "Oh yea but my problem expecting some ans according to the number of elements within set u say {3,5,4} it's basically should go from 3",
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"author_name": "kinglacto",
"timestamp": "04/11/2022 08:57:10",
"content": "I think this makes sense?",
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"timestamp": "04/11/2022 08:57:46",
"content": "hold on, no it doesnt",
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"timestamp": "04/11/2022 08:58:02",
"content": "so for {2, 5, 6} what would you say?",
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"timestamp": "04/11/2022 08:58:09",
"content": "3 or 2 ?",
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"timestamp": "04/11/2022 08:59:22",
"content": "3 cant \"yield\" 2",
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"author_name": "kinglacto",
"timestamp": "04/11/2022 09:00:12",
"content": "you need the divisor to be ≥ 1 right? or > 1?",
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"timestamp": "04/11/2022 09:00:32",
"content": "it must be 2",
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"timestamp": "04/11/2022 09:00:54",
"content": "but you arent counting from the length lol",
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"timestamp": "04/11/2022 09:01:56",
"content": "I'm like high school student, I'm really getting confused",
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"timestamp": "04/11/2022 09:02:14",
"content": "Let me get back to you on solving",
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"timestamp": "04/11/2022 09:02:24",
"content": "but please tell me one point",
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"timestamp": "04/11/2022 09:02:46",
"content": "Is there something like Least common divisor on math",
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"timestamp": "04/11/2022 09:02:52",
"content": "ok you say count from length but claim the ans is 2? i dont understand? exception?",
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"timestamp": "04/11/2022 09:03:17",
"content": "umm no ... not as far as ive heard",
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"timestamp": "04/11/2022 09:03:54",
"content": "How do you say the least number which can divide a set of numbers",
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"timestamp": "04/11/2022 09:03:55",
"content": "it would just be 1",
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"timestamp": "04/11/2022 09:04:04",
"content": "from 2,",
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"timestamp": "04/11/2022 09:04:10",
"content": "2 then",
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"timestamp": "04/11/2022 09:04:29",
"content": "unless you have 1 in your set",
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"timestamp": "04/11/2022 09:04:30",
"content": "Yeaa,,, I'm getting it",
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"timestamp": "04/11/2022 09:04:39",
"content": "in that case, idk invalid? exception?",
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"author_name": "kinglacto",
"timestamp": "04/11/2022 09:04:52",
"content": "what would be the output for {1, 2, 3}?",
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"timestamp": "04/11/2022 09:05:22",
"content": "1 is exception here",
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"timestamp": "04/11/2022 09:05:38",
"content": "Basically set will be {2,3}",
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"timestamp": "04/11/2022 09:05:42",
"content": "obviously im assuming you dont care about non zero remainders",
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"timestamp": "04/11/2022 09:05:59",
"content": "Precisely. Yes",
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"timestamp": "04/11/2022 09:06:03",
"content": "ahh so yeah then its always gonna be 2",
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"timestamp": "04/11/2022 09:06:48",
"content": "its more like youre pruning the set to exclude 1.. or will the set never contain 1?",
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"timestamp": "04/11/2022 09:07:05",
"content": "when there are three elements in gotta be like 3",
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"timestamp": "04/11/2022 09:07:18",
"content": "That's main problem constraint",
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"author_name": "kinglacto",
"timestamp": "04/11/2022 09:07:32",
"content": "so for {2, 3, 4} whats the output?",
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"timestamp": "04/11/2022 09:07:47",
"content": "3? then 2 = 3 × 0 + 2",
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"timestamp": "04/11/2022 09:08:56",
"content": "For my main problem constraint I would eliminate 2 to include {3,4} so it's atleast 2 elements divisible by 2",
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"timestamp": "04/11/2022 09:09:51",
"content": "why not exclude 3 or 4?\n{2, 4} and {2, 3} also give 2, innit?",
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"author_name": "echoloid",
"timestamp": "04/11/2022 09:10:55",
"content": "because in future the set grows so I must accommodate future numbers",
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"timestamp": "04/11/2022 09:11:07",
"content": "just as a point, since I don't know the main problem, 3 is not divisible by 2. The phrase \"divisible by\" means one is a multiple of the other. Here, 2 and 4 are divisible by 2, since 2=2(1) and 4 = 2(2), but 3 is not since 3 = 2(1)+1",
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"timestamp": "04/11/2022 09:11:29",
"content": "Oh yea it isn't really divisibility",
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"author_name": "kinglacto",
"timestamp": "04/11/2022 09:12:18",
"content": "no ik this sounds bad but when they say divisible ... like all this while they have been meaning to say that the quotient ≥ 1 and they dont care about the remainder being 0.... it can be anything",
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"timestamp": "04/11/2022 09:12:54",
"content": "in all of your initial examples, you just took the minimum element of the set and used that.",
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"author_name": "Zybikron",
"timestamp": "04/11/2022 09:13:41",
"content": "so if you don't care about the remainder, why not just use that?",
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"author_name": "echoloid",
"timestamp": "04/11/2022 09:14:04",
"content": "It's also case where {16,7} then ans be like 2",
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"timestamp": "04/11/2022 09:14:12",
"content": "number of elements in set",
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"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "04/11/2022 09:14:14",
"content": "why can't it be 7?",
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"author_name": "echoloid",
"timestamp": "04/11/2022 09:14:24",
"content": "because there aren't 7 elements",
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"author_name": "kinglacto",
"timestamp": "04/11/2022 09:14:25",
"content": "they want it to be least",
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"author_name": "echoloid",
"timestamp": "04/11/2022 09:14:37",
"content": "It's constrained to 2 elements",
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"timestamp": "04/11/2022 09:14:49",
"content": ".",
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"author_name": "Zybikron",
"timestamp": "04/11/2022 09:14:55",
"content": "So it's always just the number of elements in the set?",
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"timestamp": "04/11/2022 09:15:23",
"content": ".",
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"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "04/11/2022 09:15:32",
"content": ".",
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"author_name": "kinglacto",
"timestamp": "04/11/2022 09:15:40",
"content": "not always, apparently",
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"author_name": "Zybikron",
"timestamp": "04/11/2022 09:17:36",
"content": "minimum of the least element and the cardinality?",
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"author_name": "echoloid",
"timestamp": "04/11/2022 09:17:56",
"content": "Most possibly",
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"author_name": "echoloid",
"timestamp": "04/11/2022 09:18:49",
"content": "may I share the original problem, to clear it out, my question is how GCDS or LCMS are related to it",
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"author_name": "echoloid",
"timestamp": "04/11/2022 09:19:12",
"content": "it's coding though",
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"author_name": "kinglacto",
"timestamp": "04/11/2022 09:19:57",
"content": "share your og problem, that will be better imo",
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"id": 963066313364877300,
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"author_name": "echoloid",
"timestamp": "04/11/2022 09:21:42",
"content": "https://codingcompetitions.withgoogle.com/kickstart/round/0000000000050edd/00000000001a274e",
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"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 09:36:42",
"content": "@echoloid Has your question been resolved?",
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"author_name": "Math_Helper",
"timestamp": "04/11/2022 09:37:43",
"content": "uhm",
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"author_name": "Math_Helper",
"timestamp": "04/11/2022 09:39:42",
"content": "why u even consider gcd and lcm for this problem?",
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"timestamp": "04/11/2022 09:40:16",
"content": "@echoloid",
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"author_name": "Math_Helper",
"timestamp": "04/11/2022 09:41:58",
"content": "first notice that h cant increase by more than one in a single step, at first it will be 1, then after taking next element you just need to check if you can increase the h index to 2 and you can do this with like a priorioty queue or something and keep count of elements bigger than H so far and then you would just need to pop the element if it becomes smaller than H",
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"timestamp": "04/11/2022 09:45:16",
"content": "so there is this input:\n6\n1 3 3 2 2 15\nour pq is empty at the beginning h = 1\ntake first element 1, the element is not bigger than h so you cant do anything and output 1\ntake 3 it is bigger than h, push it to to pq={3}, but pq.size()<=h so you cant do anything\ntake 3 it is bigger than h, push it to pq={3,3}, pq.size()>h so h++\ntake 2 it is not bigger than h the other 2 is also not bigger than h\ntake 15 it is bigger than h so pq={3,3,15} h=3 and then if you would have any more elements remaining you would have to pop both 3's because they are not bigger than h so your pq would be {15}",
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"timestamp": "04/11/2022 09:45:20",
"content": "@echoloid",
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"author_name": "echoloid",
"timestamp": "04/11/2022 09:46:41",
"content": "I'm struggling so much at it",
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"author_name": "echoloid",
"timestamp": "04/11/2022 09:47:04",
"content": "@Math_Helper lemme solve it and then I look at another approach",
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"timestamp": "04/11/2022 09:47:16",
"content": "I'm so stubborn it must work",
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"timestamp": "04/11/2022 09:48:15",
"content": "you wont achieve anything with gcd or lcm here",
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"timestamp": "04/11/2022 09:49:03",
"content": "Please help this case @Math_Helper \n\nHow can I know whether a set of numbers divible by n if I know that they are divisible by n -1",
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"timestamp": "04/11/2022 09:49:27",
"content": "pls this case, I got this almost",
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"timestamp": "04/11/2022 09:50:39",
"content": "why you need divisible?",
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"timestamp": "04/11/2022 09:51:42",
"content": "Channel closed",
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}
] |
help-9
|
4fb1c8bcb49e43e385e30939e2c2554e
|
199,309 |
[
{
"id": 963073896842682500,
"author_id": 781453570834563100,
"author_name": "echoloid",
"timestamp": "04/11/2022 09:51:50",
"content": ".reopen",
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},
{
"id": 963073902190407700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 09:51:51",
"content": "✅",
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},
{
"id": 963074245213159400,
"author_id": 781453570834563100,
"author_name": "echoloid",
"timestamp": "04/11/2022 09:53:13",
"content": "{16,7} it's 2 elements with atleast 2 citations \n\n{16,7,9} when 9 comes in it will be 3 because 3 elements with atleast 3 citations @Math_Helper",
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"timestamp": "04/11/2022 09:53:43",
"content": "so I'm checking for divisiblityby 3 when I know they're kinda divisible by 2",
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"timestamp": "04/11/2022 09:53:57",
"content": "i already told you how you need to do this problem, and you need not divisible but bigger",
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"timestamp": "04/11/2022 09:54:50",
"content": "Okaay..but divisibilty is what's came to my approach on seeing those type of problems",
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"content": "@echoloid Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
ac2f03a3c7d84586995bf9e139b509c1
|
199,310 |
[
{
"id": 955957699420500000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/22/2022 18:34:36",
"content": "Available help channel!",
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},
{
"id": 955958725682802700,
"author_id": 500003634944409600,
"author_name": "i have eyebrow",
"timestamp": "03/22/2022 18:38:41",
"content": "The point \"A\" is the middle point of BC, D is the middle point of AC, \"E\" is the middle point of AD, the ED segment has a total length of 2 units, what is the length of the BC segment",
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"timestamp": "03/22/2022 18:38:41",
"content": "Pinned a message.",
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"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/22/2022 18:50:47",
"content": "Draw it",
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},
{
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"author_id": 500003634944409600,
"author_name": "i have eyebrow",
"timestamp": "03/22/2022 18:54:49",
"content": "but i dont even know the coordinates of any of these points how am i expected to draw it",
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"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/22/2022 19:00:09",
"content": "You have a bunch of midpoints",
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"id": 955964183462166500,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/22/2022 19:00:22",
"content": "You know where points are relative to others",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/22/2022 19:09:49",
"content": "@i have eyebrow Has your question been resolved?",
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"author_name": "i have eyebrow",
"timestamp": "03/22/2022 19:21:10",
"content": "but does that matter because that still doesnt give me the length",
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"author_name": "i have eyebrow",
"timestamp": "03/22/2022 19:21:34",
"content": "i basically have to guess the length of the lines",
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"timestamp": "03/22/2022 19:48:28",
"content": "You have 1 length, should be able to use properties of midpoint to get other lengths",
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"content": "@i have eyebrow Has your question been resolved?",
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"timestamp": "03/22/2022 20:18:03",
"content": "Channel closed",
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] |
help-9
|
a0035d3122604d9ab1665ed6017325c4
|
199,311 |
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"id": 963082458901930100,
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"timestamp": "04/11/2022 10:25:51",
"content": "Available help channel!",
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"id": 963082976617447400,
"author_id": 587696976951377900,
"author_name": "eswag",
"timestamp": "04/11/2022 10:27:54",
"content": "Hi there",
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"timestamp": "04/11/2022 10:28:00",
"content": "Can anyone help me with my LaTeX notation?",
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"id": 963083031009189900,
"author_id": 587696976951377900,
"author_name": "eswag",
"timestamp": "04/11/2022 10:28:07",
"content": "$\\sum_{x=1}^{k}$ $\\frac{(n-1)!}{ \\prod_{i=1}^{x-1} n_{i} * (n_{i}-1) * \\prod_{i=x+1}^{k} n_{i}}$",
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"id": 963083100169052300,
"author_id": 587696976951377900,
"author_name": "eswag",
"timestamp": "04/11/2022 10:28:24",
"content": "So i'm trying to have products inside a summation",
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"id": 963083122394685400,
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"author_name": "eswag",
"timestamp": "04/11/2022 10:28:29",
"content": "This equation is basically supposed to look like",
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"id": 963083153688387700,
"author_id": 587696976951377900,
"author_name": "eswag",
"timestamp": "04/11/2022 10:28:37",
"content": "$\\frac{(n-1)!}{(n_1-1)!(n_2)!(n_3)!*...*(n_k)!}$ + $\\frac{(n-1)!}{(n_1)!(n_2-1)!(n_3)!*...*(n_k)!}$ + \n$\\frac{(n-1)!}{(n_1)!(n_2)!(n_3-1)!*...*(n_k)!}$ +\n... + $\\frac{(n-1)!}{(n_1)!(n_2)!(n_3)!*...*(n_k-1)!}$ \\\\",
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{
"id": 963083169484128300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/11/2022 10:28:40",
"content": "**eswag**",
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"id": 963083197393019000,
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"author_name": "eswag",
"timestamp": "04/11/2022 10:28:47",
"content": "Something like that",
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"id": 963083302632308700,
"author_id": 587696976951377900,
"author_name": "eswag",
"timestamp": "04/11/2022 10:29:12",
"content": "I'd just like to make sure that the summation variables are correct if anyone could help out",
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"id": 963083318587429000,
"author_id": 587696976951377900,
"author_name": "eswag",
"timestamp": "04/11/2022 10:29:16",
"content": "That would be greatly appreciated",
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"id": 963083535277785100,
"author_id": 587696976951377900,
"author_name": "eswag",
"timestamp": "04/11/2022 10:30:08",
"content": "or perhaps i should do x = 1 at the bottom?",
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"id": 963083777062600800,
"author_id": 510789298321096700,
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"timestamp": "04/11/2022 10:31:05",
"content": "**eswag**",
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"timestamp": "04/11/2022 10:45:08",
"content": "@eswag Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
b3b28c6df75b4dd1b70ecb2446ad4363
|
199,312 |
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"id": 963087673365499900,
"author_id": 774241903025455100,
"author_name": "py",
"timestamp": "04/11/2022 10:46:34",
"content": "@eswag try making use of this site, https://latex.codecogs.com",
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"content": "Available help channel!",
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"content": "Pinned a message.",
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"timestamp": "04/11/2022 10:46:48",
"content": ".close",
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"id": 963087733746708500,
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"content": "Channel closed",
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}
] |
help-9
|
bc011c3a79e54804ba7ea086c89d36cf
|
199,313 |
[
{
"id": 963090205991141400,
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"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 10:56:38",
"content": "Available help channel!",
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},
{
"id": 963090832016158700,
"author_id": 752913143222632600,
"author_name": "brr",
"timestamp": "04/11/2022 10:59:07",
"content": "can someone help",
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},
{
"id": 963090834650194000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
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"content": "Pinned a message.",
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"id": 963091799948263400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/11/2022 11:02:58",
"content": "We just did this lmao",
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"id": 963093894961197000,
"author_id": 752913143222632600,
"author_name": "brr",
"timestamp": "04/11/2022 11:11:17",
"content": "Create a function, 𝑔(𝑥), defined by reflecting the graph of 𝑦=𝑥2 around the 𝑥-axis and then shifting up 10 units.",
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"timestamp": "04/11/2022 11:11:21",
"content": "wrong question lol",
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"id": 963093929132171300,
"author_id": 752913143222632600,
"author_name": "brr",
"timestamp": "04/11/2022 11:11:26",
"content": "thats th e right one",
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"timestamp": "04/11/2022 11:26:26",
"content": "@brr Has your question been resolved?",
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"content": "@brr Has your question been resolved?",
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"author_name": "riemann",
"timestamp": "04/11/2022 12:29:23",
"content": ".close",
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}
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help-9
|
655049116ac84897a4e3bcbdf9a36dd6
|
199,314 |
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"content": "Available help channel!",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/11/2022 14:17:52",
"content": "Can u see the Solution of (1) what and why made him wrote (x+3) ( x-2), whereas if i solve this using factoring, i am getting x^2 = 3",
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"id": 963140882712916000,
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"timestamp": "04/11/2022 14:18:00",
"content": "thiis making me so frustrated",
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"id": 963140939713511600,
"author_id": 456226577798135800,
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"timestamp": "04/11/2022 14:18:14",
"content": "theres nothing to take common",
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"timestamp": "04/11/2022 14:18:23",
"content": "i dont think formula is also applying there",
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"id": 963141495341351000,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "04/11/2022 14:20:26",
"content": "How did you get that",
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"timestamp": "04/11/2022 14:20:48",
"content": "If you’ve learnt factorisation, you should understand what they did",
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"timestamp": "04/11/2022 14:21:09",
"content": "Because i am stupid, i accidently added x^2 and x, xD",
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"timestamp": "04/11/2022 14:21:26",
"content": "(x+3) ( x-2) can u teach me this",
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"timestamp": "04/11/2022 14:22:23",
"content": "@dk.dkn Kiyotaka Ayanokōji help me brother",
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"timestamp": "04/11/2022 14:22:32",
"content": "i am feeling kinda desperate here.",
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"timestamp": "04/11/2022 14:23:15",
"content": "Consider ax^2 + bx + c = 0",
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"timestamp": "04/11/2022 14:23:29",
"content": "yeah the general equation form",
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"author_name": "dk.dkn",
"timestamp": "04/11/2022 14:23:29",
"content": "Look for numbers that multiply to give ac and add to give b",
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"id": 963142442155114600,
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"author_name": "dk.dkn",
"timestamp": "04/11/2022 14:24:12",
"content": "Then write those numbers added in front of x instead of b, and take common factors",
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"id": 963142560170262500,
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"timestamp": "04/11/2022 14:24:40",
"content": "do you not get how to factor?",
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"timestamp": "04/11/2022 14:24:51",
"content": "No kind sir",
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"timestamp": "04/11/2022 14:24:52",
"content": "x^2+x-6",
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"timestamp": "04/11/2022 14:25:07",
"content": "easiest way for me when i learn factor",
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"content": "is this way",
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"content": "x equals to 1 right",
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"content": "and -6",
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"content": "so what are 2 numbers that add up to 1 but multiply to be negative 6",
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"content": "just as the answer shown",
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"timestamp": "04/11/2022 14:26:11",
"content": "btw i love you brother for teaching me, you are a life saver.",
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"content": "positive 3 and negative 2",
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"content": "3 x (-2)",
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"content": "but 3 plus negative 2 equals one",
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"content": "u get now?",
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"content": "so it goes like this, x^2 + x + 3 - 2",
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"content": "no",
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"content": "ok",
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"content": "x^2 + x + 3 (-2)",
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"content": "…",
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"content": "In front of the x",
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"content": "x^2 - 2x + 3x - 6",
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"content": "This is how you write it",
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"content": "That’s way too cryptic",
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"content": "thats the way my algebra teacher taught it 🤷♂️",
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"content": "It doesn’t show how you got there at all though",
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"content": "I understand you can factorise it quickly if you spot it, and that’s how it works but when your first teaching it, it can’t be like that",
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"content": "It won’t because what’s he gonna do after",
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"content": "Plus when the coefficient of x^2 isn’t 1",
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"content": "ah you’re right",
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"content": "then he would have to do the slide n divide stuff",
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"content": "You can do the exact same thing as before",
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"content": "The stuff you do but don’t write down",
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"content": "One last question, don’t yell at me if it is a stupid question.\nWhere did the x go when we broke down 6",
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"content": "You didn’t break down 6",
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"content": "It was -6 but anyway we broke down x",
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"content": "x = -2x + 3x",
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"content": "I see",
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"content": "Almost",
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"content": "You have to write a + in the middle",
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"content": "Idk where it went",
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"content": "What +",
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"content": "What is x(x-2)3(x+3)",
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"content": "It’s as if everything’s multiplied together",
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"content": "That’s a cubic",
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"content": "So what do i do?",
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"content": "Actually take out the common factors",
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"content": "There’s no reason for the + you had before to disappear",
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"content": "You just",
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"content": "Deleted it",
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"content": "Can you show me on a paper",
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"content": "Is it correct, if i solve it this way",
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"content": "$$x^2-2x+3x-6=0 \\Rightarrow x(x-2) + 3(x-2) = 0$$",
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"timestamp": "04/11/2022 14:46:39",
"content": "**dk.dkn**",
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"content": "Alright, i got it.",
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"content": "Thanks a lot 🙂",
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] |
help-9
|
377e390ed4b44b71a915699de1619782
|
199,315 |
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"timestamp": "04/11/2022 14:48:41",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"content": "@CoffeePls Has your question been resolved?",
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"author_name": "CoffeePls",
"timestamp": "04/11/2022 15:12:25",
"content": "ty tho",
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},
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"timestamp": "04/11/2022 15:12:27",
"content": "Channel closed",
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}
] |
help-9
|
dd8c23699c4343398769b60427ebc7ac
|
199,316 |
[
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"timestamp": "04/11/2022 15:26:25",
"content": "Available help channel!",
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},
{
"id": 963159983455887400,
"author_id": 332578513809047550,
"author_name": "Tozz",
"timestamp": "04/11/2022 15:33:54",
"content": "",
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"timestamp": "04/11/2022 15:33:55",
"content": "Pinned a message.",
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"author_id": 332578513809047550,
"author_name": "Tozz",
"timestamp": "04/11/2022 15:36:12",
"content": "im struggling with even part(a), just cant even comprehend this one. im stumped",
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},
{
"id": 963163896628248600,
"author_id": 332578513809047550,
"author_name": "Tozz",
"timestamp": "04/11/2022 15:49:27",
"content": "@Helpers",
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},
{
"id": 963167672424620000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 16:04:27",
"content": "@Tozz Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 16:34:37",
"content": "@Tozz Has your question been resolved?",
"attachments": [],
"mentions": [
{
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{
"id": 963178714009595900,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "04/11/2022 16:48:20",
"content": "you need to prove that the equation has only one solution",
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"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "04/11/2022 16:48:51",
"content": "and the best way to do it is to use intermediate value theorem",
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},
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"timestamp": "04/11/2022 17:34:46",
"content": "@Tozz Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 18:34:46",
"content": "Channel closed",
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}
] |
help-9
|
30bec8c5b0004757a65229bb50f9216b
|
199,317 |
[
{
"id": 963205752028278800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 18:35:46",
"content": "Available help channel!",
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},
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"id": 963205869716246500,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "04/11/2022 18:36:14",
"content": "You may not use digital tools. Which is bigger? The largest angle in a triangle with side lengths 4 cm, 3 cm and 5 cm? Or the largest angle in a triangle with side lengths 5 cm, 5 cm and 5 cm?",
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"timestamp": "04/11/2022 18:36:15",
"content": "Pinned a message.",
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"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "04/11/2022 18:36:54",
"content": "Since one of the triangles is an equilateral, it has the angles 60° each. But what about the other triangle?",
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},
{
"id": 963206274596601900,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:37:51",
"content": "Well, it's a 3-4-5 triangle.",
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},
{
"id": 963206304371970000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:37:58",
"content": "Have you heard of that kind?",
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},
{
"id": 963206571528171500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:39:02",
"content": "Or, you can say it this way.",
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},
{
"id": 963206734766276600,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:39:41",
"content": "It's not equilateral, so one of the angles has to be less than 60°.",
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},
{
"id": 963206871144083500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:40:13",
"content": "After all, if they were all 60° or greater, they'd all have to be 60° because anything more would be over 180° angle sum, and it's not equilateral, so they can't all be 60°.",
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},
{
"id": 963206960470184100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:40:34",
"content": "And then the other ones have to add up to more than 120°.",
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},
{
"id": 963207009715515400,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:40:46",
"content": "Which means that at least one is larger than 60°.",
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},
{
"id": 963207103458181200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:41:08",
"content": "Or you can remember that a 3-4-5 triangle is a right triangle.",
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},
{
"id": 963207128363987000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:41:14",
"content": "3² + 4² = 5².",
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"author_name": "AuHasard",
"timestamp": "04/11/2022 18:43:08",
"content": "@Chai T. Rex I know one of the triangles is an equilateral, because all of the lengths are the same. But what about the 3–4–5 triangle?",
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"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:43:24",
"content": "That's what I was talking about, the 3-4-5 triangle.",
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"author_name": "AuHasard",
"timestamp": "04/11/2022 18:43:39",
"content": "Right",
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"author_name": "AuHasard",
"timestamp": "04/11/2022 18:44:26",
"content": "why does two of them have to add up to more than 120?",
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{
"id": 963208115665403900,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:45:10",
"content": "Because the angles in a triangle sum to 180°, so if one is less than 60° and we subtract that out, we get 180° - something less than 60°, which gives something more than 120°.",
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"id": 963208281977942000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:45:49",
"content": "Like if we subtract 59°, we get 121°.",
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},
{
"id": 963208335501451300,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:46:02",
"content": "Or if we subtract 3°, we get 177°.",
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},
{
"id": 963208441046917100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:46:27",
"content": "The only way to get it to 120° or less is to subtract 60° or more.",
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"author_name": "AuHasard",
"timestamp": "04/11/2022 18:47:31",
"content": "Yeah",
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"id": 963208716663013400,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "04/11/2022 18:47:33",
"content": "I understand now",
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{
"id": 963208856723402900,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "04/11/2022 18:48:06",
"content": "But the smallest angle has to be less than 60°?",
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{
"id": 963208902118371500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:48:17",
"content": "Yes, that's right.",
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{
"id": 963208992795005000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:48:39",
"content": "If the smallest angle was 60°, the other two would also have to be 60°.",
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{
"id": 963209077368946700,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:48:59",
"content": "Otherwise, one angle would be larger than 60° and the angle sum would be higher than 180°.",
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{
"id": 963209173351399400,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:49:22",
"content": "But it's not equilateral, so all three can't be 60°.",
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},
{
"id": 963209257203925000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:49:42",
"content": "So, at least one must be under 60°.",
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},
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"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "04/11/2022 18:50:26",
"content": "does the above follow from any triangle where the lengths are 1 integer apart?",
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{
"id": 963209485554442200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:50:36",
"content": "No, it's for any nonequilateral triangle.",
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},
{
"id": 963209550373204000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:50:52",
"content": "All of them have an angle less than 60°.",
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},
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"id": 963209568047992800,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "04/11/2022 18:50:56",
"content": "okay thanks",
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},
{
"id": 963209597324251300,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:51:03",
"content": "No problem.",
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},
{
"id": 963209694455955500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:51:26",
"content": "Since one is less than 60°, another has to be above 60° to balance it out and get 180°.",
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},
{
"id": 963209746016501800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:51:39",
"content": "Or both can be above 60°.",
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},
{
"id": 963209783555539000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:51:47",
"content": "Either way, you have at least one angle above 60°.",
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},
{
"id": 963209873397542900,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "04/11/2022 18:52:09",
"content": "So, the biggest angle is in the nonequilateral triangle.",
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},
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"id": 963213343378788400,
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"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 19:05:56",
"content": "@AuHasard Has your question been resolved?",
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"author_name": "AuHasard",
"timestamp": "04/11/2022 19:15:51",
"content": "@Chai T. Rex right, because all angles can't be less than 60°, *atleast* one has to be greater than 60",
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"timestamp": "04/11/2022 19:16:01",
"content": "damn forgot to close the channel 😂",
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"timestamp": "04/11/2022 19:16:04",
"content": ".close",
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},
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"content": "Channel closed",
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}
] |
help-9
|
a9d79b9b77dd4bc291c5498b25ae002a
|
199,318 |
[
{
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"timestamp": "04/11/2022 19:17:04",
"content": "Available help channel!",
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},
{
"id": 963218479526338600,
"author_id": 247157233228447740,
"author_name": "35453456436",
"timestamp": "04/11/2022 19:26:21",
"content": "X",
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},
{
"id": 963218481195659300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 19:26:21",
"content": "Pinned a message.",
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"author_id": 247157233228447740,
"author_name": "35453456436",
"timestamp": "04/11/2022 19:26:34",
"content": "Why is S_n in that form not considered closed-form?",
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},
{
"id": 963219202007760900,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "04/11/2022 19:29:13",
"content": "closed-form means a single expression I can plug n into and get the sum",
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},
{
"id": 963219468727767000,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "04/11/2022 19:30:17",
"content": "like $S_n = \\sum_{k=1}^n k$ is a sum, but it has closed form $S_n = \\frac{n(n+1)}{2}$",
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},
{
"id": 963219479825891300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/11/2022 19:30:19",
"content": "**Zybikron**",
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"timestamp": "04/11/2022 19:41:34",
"content": "@35453456436 Has your question been resolved?",
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"timestamp": "04/11/2022 19:42:02",
"content": "I mean you can do that",
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"content": "non-closed form would be if the upper limit on the sum was infinity",
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"content": "Because then you can't just plug in n and get the exact value",
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"content": "you know?",
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"content": "right, because if you take an infinite sum it either converges or it doesn't",
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"content": "yes",
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"content": "the limit of the closed form would tell you that too",
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"content": "Ah",
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"content": "But if it diverges",
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"content": "then there is no closed form",
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"content": ".",
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"content": "that series diverges, the partial sum has a closed form",
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"content": "Right because you didn't put infinity on the upper bound",
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"timestamp": "04/11/2022 19:46:09",
"content": "of the sum",
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"timestamp": "04/11/2022 19:46:41",
"content": "right, the limit of the partial sum is the infinite series. If you have a closed form of the partial sum, the limit of the closed form is the same as the infinite sum",
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"timestamp": "04/11/2022 19:46:48",
"content": "but anyway",
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"content": "S_n is closed form",
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"timestamp": "04/11/2022 19:46:53",
"content": "already",
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"timestamp": "04/11/2022 19:46:53",
"content": "I am saying",
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"timestamp": "04/11/2022 19:47:00",
"content": "not the one you listed",
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"timestamp": "04/11/2022 19:47:42",
"content": "but you can plug in n into that single expression",
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"timestamp": "04/11/2022 19:47:56",
"content": "and get whatever number it is equal to",
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"content": "you can't say n = infinity, that is not closed form",
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"timestamp": "04/11/2022 19:50:05",
"content": "ok, write that. let me know how it goes",
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"content": "$S_{\\infty} = \\sum_{k=1}^{\\infty}(1)$",
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"timestamp": "04/11/2022 19:50:46",
"content": "**Tim O'Brien**",
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"content": "This is not closed form",
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"content": "yes, but this is not the partial sum",
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"content": "I mean just plug in n = 2 for example and evaluate",
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"content": "I don't get it man",
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"timestamp": "04/11/2022 19:51:44",
"content": "http://www3.govst.edu/wrudloff/CPSC438/CPSC438/CH05/Chapter5/Section.5.2.pdf",
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"timestamp": "04/11/2022 19:51:47",
"content": "you want an algebraic expression with only basic operations?",
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"content": "and that is closed form?",
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"timestamp": "04/11/2022 19:51:55",
"content": "i.e. no sigma",
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"timestamp": "04/11/2022 19:52:08",
"content": "you should have said that then",
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"timestamp": "04/11/2022 19:52:36",
"content": "!!",
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"content": "!!",
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"timestamp": "04/11/2022 19:52:56",
"content": "A closed form Sum/variable/etc. is expressed only with the basic mathematical operations of addition/subtraction/raising to power/extracting a root",
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"timestamp": "04/11/2022 19:53:03",
"content": "is this a good definitioN/",
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"timestamp": "04/11/2022 19:53:29",
"content": "Thanks",
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"timestamp": "04/11/2022 19:53:30",
"content": ".close",
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"timestamp": "04/11/2022 19:53:31",
"content": "Channel closed",
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] |
help-9
|
9fed80c62ce7467f8497eb1942703f0f
|
199,319 |
[
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"content": "isn't this just simple algebra?",
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"timestamp": "04/11/2022 20:48:56",
"content": "you have some number",
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"id": 963239301741686800,
"author_id": 444537905919164400,
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"timestamp": "04/11/2022 20:49:05",
"content": "x100+y10+z1",
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"id": 963239319806570500,
"author_id": 444537905919164400,
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"timestamp": "04/11/2022 20:49:09",
"content": "where x y and z are integers",
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"timestamp": "04/11/2022 20:49:20",
"content": "x+y+z<20",
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"id": 963239377239146600,
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"timestamp": "04/11/2022 20:49:23",
"content": "and x=z",
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"timestamp": "04/11/2022 20:49:25",
"content": "so",
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"timestamp": "04/11/2022 20:49:36",
"content": "your number is 101x+10y",
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"author_name": "Scythe",
"timestamp": "04/11/2022 20:49:42",
"content": "x is not 0 or 5, or else it would divisible by 5",
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"timestamp": "04/11/2022 20:49:57",
"content": "and 2x+y<20",
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"timestamp": "04/11/2022 20:50:17",
"content": "oh, and 1000>101x+10y≥100",
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"timestamp": "04/11/2022 20:50:39",
"content": "personally I would go through each x value",
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"timestamp": "04/11/2022 20:50:56",
"content": "from x=1 to x=9 (since x=0 is not three digits, and x=10 would make 2x+y equal or more than 20), but not x=5, as mentioned before",
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"timestamp": "04/11/2022 20:51:10",
"content": "and find the number of valid ys that give a valid number",
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"timestamp": "04/11/2022 20:51:23",
"content": "and add up all the valid ys at each stage",
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"timestamp": "04/11/2022 20:51:28",
"content": "@Deleted User would that work?",
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help-9
|
8c46dbefec504a2fb5a18b93bd0e4771
|
199,320 |
[
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"content": "what does the infinite sum of 1/n! converge to?",
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"content": "@WillHCubed",
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"content": "so wouldn't that just be e then?",
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},
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"id": 963242532752457700,
"author_id": 869988452077289600,
"author_name": "WillHCubed",
"timestamp": "04/11/2022 21:01:55",
"content": "nice",
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},
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"id": 963242543418593300,
"author_id": 869988452077289600,
"author_name": "WillHCubed",
"timestamp": "04/11/2022 21:01:58",
"content": ".close",
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},
{
"id": 963242545079545900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 21:01:58",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
8eb25186f66d4946a9f82bfb8cb8a4a0
|
199,321 |
[
{
"id": 955983777874735100,
"author_id": 500003634944409600,
"author_name": "i have eyebrow",
"timestamp": "03/22/2022 20:18:13",
"content": "thanks",
"attachments": [],
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"content": "Available help channel!",
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},
{
"id": 955985609506324500,
"author_id": 810002935517151200,
"author_name": "Arcav",
"timestamp": "03/22/2022 20:25:30",
"content": "why am i dumb",
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},
{
"id": 955985611607638100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/22/2022 20:25:31",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 955985609506324500,
"channelId": 486844875632017400,
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}
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"id": 955986507972362200,
"author_id": 810002935517151200,
"author_name": "Arcav",
"timestamp": "03/22/2022 20:29:04",
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"id": 955986618899124200,
"author_id": 198500238384693250,
"author_name": "Alfie",
"timestamp": "03/22/2022 20:29:31",
"content": "What's the function?",
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},
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"id": 955986637035274200,
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"timestamp": "03/22/2022 20:29:35",
"content": "The second one looks wrong",
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},
{
"id": 955986651077828600,
"author_id": 810002935517151200,
"author_name": "Arcav",
"timestamp": "03/22/2022 20:29:38",
"content": "graph",
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},
{
"id": 955986672519106600,
"author_id": 810002935517151200,
"author_name": "Arcav",
"timestamp": "03/22/2022 20:29:44",
"content": "",
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},
{
"id": 955986715338756100,
"author_id": 198500238384693250,
"author_name": "Alfie",
"timestamp": "03/22/2022 20:29:54",
"content": "Approaching 3+ means from the positive side",
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},
{
"id": 955986735811145900,
"author_id": 198500238384693250,
"author_name": "Alfie",
"timestamp": "03/22/2022 20:29:59",
"content": "Which is going to negative infinity",
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},
{
"id": 955986795093446700,
"author_id": 810002935517151200,
"author_name": "Arcav",
"timestamp": "03/22/2022 20:30:13",
"content": "",
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"id": 955986794502062100,
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"id": 955986802446049300,
"author_id": 810002935517151200,
"author_name": "Arcav",
"timestamp": "03/22/2022 20:30:15",
"content": "so like that",
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},
{
"id": 955986816895422600,
"author_id": 198500238384693250,
"author_name": "Alfie",
"timestamp": "03/22/2022 20:30:18",
"content": "I think so",
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},
{
"id": 955986850231746700,
"author_id": 810002935517151200,
"author_name": "Arcav",
"timestamp": "03/22/2022 20:30:26",
"content": "thank you dude",
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},
{
"id": 955986880787255300,
"author_id": 198500238384693250,
"author_name": "Alfie",
"timestamp": "03/22/2022 20:30:33",
"content": "No problem",
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},
{
"id": 955986902614409200,
"author_id": 810002935517151200,
"author_name": "Arcav",
"timestamp": "03/22/2022 20:30:38",
"content": ".close",
"attachments": [],
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},
{
"id": 955986903960780800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/22/2022 20:30:39",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
fd7609951e8b47a5b6e6ee862c938ae6
|
199,322 |
[
{
"id": 963248749554045000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 21:26:38",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 963249557322481800,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
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"content": "Pinned a message.",
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"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "04/11/2022 21:30:07",
"content": "is there a quick way to solve this without finding the derivative 3 times?",
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},
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"id": 963249637597249500,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "04/11/2022 21:30:09",
"content": "@jan Niku",
"attachments": [],
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{
"id": 331558346333224960,
"name": "jan Niku",
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},
{
"id": 963250013486600300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/11/2022 21:31:39",
"content": "you can rule out the last 2",
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},
{
"id": 963250427141427200,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "04/11/2022 21:33:18",
"content": "hm?",
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},
{
"id": 963250439539798000,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "04/11/2022 21:33:21",
"content": "how do u know?",
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"reference": null
},
{
"id": 963250704980516900,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/11/2022 21:34:24",
"content": "none of the terms will be 0",
"attachments": [],
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"reference": null
},
{
"id": 963250928092332000,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "04/11/2022 21:35:17",
"content": "im not sure if i follow",
"attachments": [],
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},
{
"id": 963250959956459500,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "04/11/2022 21:35:25",
"content": "based on the taylor series formula",
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},
{
"id": 963251004520947700,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "04/11/2022 21:35:35",
"content": "won't I need to find the third derivative?",
"attachments": [],
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"reference": null
},
{
"id": 963251514191786000,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "04/11/2022 21:37:37",
"content": "no?",
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},
{
"id": 963254124944707600,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "04/11/2022 21:47:59",
"content": "@jan Nikuhello?",
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"id": 963254142447517700,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "04/11/2022 21:48:03",
"content": "@vin100 ?",
"attachments": [],
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"name": "vin100",
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"id": 963254167307178000,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "04/11/2022 21:48:09",
"content": "I have a more fascinating question",
"attachments": [],
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},
{
"id": 963254378154836000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "04/11/2022 21:49:00",
"content": "👀 im working on homework",
"attachments": [],
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},
{
"id": 963254955899252700,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "04/11/2022 21:51:17",
"content": "oh sorry",
"attachments": [],
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},
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"id": 963258731930472400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 22:06:18",
"content": "@CoffeePls Has your question been resolved?",
"attachments": [],
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"timestamp": "04/11/2022 22:06:43",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
e123224584364f5190501fd205286449
|
199,323 |
[
{
"id": 963262104599666800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 22:19:42",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 963263742588637200,
"author_id": 250371559808565250,
"author_name": "Mimir",
"timestamp": "04/11/2022 22:26:12",
"content": "",
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"timestamp": "04/11/2022 22:26:13",
"content": "Pinned a message.",
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}
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{
"id": 963263756715032600,
"author_id": 250371559808565250,
"author_name": "Mimir",
"timestamp": "04/11/2022 22:26:16",
"content": "How do I do this question",
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},
{
"id": 963263794258276400,
"author_id": 250371559808565250,
"author_name": "Mimir",
"timestamp": "04/11/2022 22:26:25",
"content": "THe answers say its 2 but I get negative 2",
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"reference": null
},
{
"id": 963265867104256000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/11/2022 22:34:39",
"content": "Alright",
"attachments": [],
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"reference": null
},
{
"id": 963265876453359600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/11/2022 22:34:41",
"content": "Let's break it down",
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},
{
"id": 963265907470245900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/11/2022 22:34:48",
"content": "What is $(-2)^3$",
"attachments": [],
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"reference": null
},
{
"id": 963265961018949600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/11/2022 22:35:01",
"content": "**Umbraleviathan**",
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{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/963265961249632266/349354952961032192.png",
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"id": 963265967918559200,
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"author_name": "Umbraleviathan",
"timestamp": "04/11/2022 22:35:03",
"content": "@sup",
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"id": 963265982443450400,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/11/2022 22:35:06",
"content": "Oh my god it keeps",
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"reference": null
},
{
"id": 963266004702593000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/11/2022 22:35:12",
"content": "@Mimir",
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"author_name": "Umbraleviathan",
"timestamp": "04/11/2022 22:35:20",
"content": "I pinged a random guy 💀",
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},
{
"id": 963267569907802100,
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"timestamp": "04/11/2022 22:41:25",
"content": "@Mimir Has your question been resolved?",
"attachments": [],
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{
"id": 963270195789582300,
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"timestamp": "04/11/2022 22:51:51",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
65fe93ca1b754b76b61c430767d24c14
|
199,324 |
[
{
"id": 963270448353804300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 22:52:51",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 963270708979458200,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/11/2022 22:53:53",
"content": "I want help with this question please:",
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{
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"id": 963270710619430900,
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"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 22:53:54",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 963270708979458200,
"channelId": 486844875632017400,
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}
},
{
"id": 963271106607861800,
"author_id": 321636422161530900,
"author_name": "useless linux",
"timestamp": "04/11/2022 22:55:28",
"content": "Looks like the order the people are selected does not matter as long as they are selected",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963271201222955000,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/11/2022 22:55:51",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963271663577890800,
"author_id": 321636422161530900,
"author_name": "useless linux",
"timestamp": "04/11/2022 22:57:41",
"content": "Try 10C3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963271716820377600,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/11/2022 22:57:54",
"content": "What’s that?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963272449611411500,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/11/2022 23:00:48",
"content": "Oh I got it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963272465977606300,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/11/2022 23:00:52",
"content": "Thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963272575922864100,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/11/2022 23:01:18",
"content": ".close",
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"reference": null
},
{
"id": 963272577579642900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 23:01:19",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
1e7164d8ddf941a6a862b2611852b2a3
|
199,325 |
[
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"id": 963273238383820800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/11/2022 23:03:56",
"content": "Available help channel!",
"attachments": [],
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"content": "Pinned a message.",
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"author_name": "MarveI",
"timestamp": "04/11/2022 23:07:48",
"content": "find a",
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},
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"id": 963274224129146900,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "04/11/2022 23:07:51",
"content": "i found the answer but i cant find a way to explain it",
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"timestamp": "04/11/2022 23:08:17",
"content": "a = 2, b = 4, c = 6",
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"content": "a < b < c btw",
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"content": "@MarveI Has your question been resolved?",
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"timestamp": "04/11/2022 23:28:22",
"content": ".close",
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}
] |
help-9
|
d3cf5b8ef5fd44f0ba5488d3ef003b86
|
199,326 |
[
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"id": 963284921122717700,
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"timestamp": "04/11/2022 23:50:22",
"content": "Available help channel!",
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},
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"id": 963286142520787000,
"author_id": 893512897500676100,
"author_name": "Zim",
"timestamp": "04/11/2022 23:55:13",
"content": "Sorry if this a dumb question but, I read in a thread that you can’t take the partial derivative of an equation, only a function. But why?",
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"timestamp": "04/11/2022 23:55:16",
"content": "We can take the ordinary derivative of an equation just fine.",
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"content": "@Zim Has your question been resolved?",
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"content": "what do you mean by that",
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"timestamp": "04/12/2022 00:15:01",
"content": "give an example",
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"content": "Channel closed",
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}
] |
help-9
|
18e229638ba14609a587a24c43864690
|
199,327 |
[
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"timestamp": "04/12/2022 00:26:17",
"content": "Available help channel!",
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"id": 963294393241067500,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "04/12/2022 00:28:00",
"content": "Circle is a good example. $x^2+y^2=16$, take partials with respect to x... Or how do we do that, doesn't really work, not sure on the reason tho",
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"timestamp": "04/12/2022 00:28:03",
"content": "**Max..**",
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"content": "@Max.. Has your question been resolved?",
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"author_name": "EndTimes",
"timestamp": "04/12/2022 00:45:00",
"content": "Yeah you have to have something be a function of something else",
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"id": 963298732743479400,
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"author_name": "EndTimes",
"timestamp": "04/12/2022 00:45:15",
"content": "Maybe let's just let y = y(x)",
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"id": 963298789253316700,
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"timestamp": "04/12/2022 00:45:28",
"content": "Then we get:\n2x + 2yy' = 0",
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"id": 963298876671025200,
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"author_name": "EndTimes",
"timestamp": "04/12/2022 00:45:49",
"content": "But thats not a partial derivative",
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"timestamp": "04/12/2022 00:45:53",
"content": "It's the derivative",
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},
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"id": 963298990449897500,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "04/12/2022 00:46:16",
"content": "The partial derivative of a single variable function is the derivative",
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},
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"id": 963299262790238200,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "04/12/2022 00:47:21",
"content": "I think it's something to do with the partial derivatives definition and how we can't do implicit with partials.",
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"timestamp": "04/12/2022 00:47:56",
"content": "You have not defined a multivariate function though",
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"id": 963299460887244900,
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"author_name": "EndTimes",
"timestamp": "04/12/2022 00:48:08",
"content": "How about",
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"id": 963299472618700900,
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"timestamp": "04/12/2022 00:48:11",
"content": "a sphere",
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"id": 963299559189151900,
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"author_name": "EndTimes",
"timestamp": "04/12/2022 00:48:32",
"content": "x^2 + y^2 + z^2 = 1\nz = z(x,y)",
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"id": 963299687773925400,
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"author_name": "EndTimes",
"timestamp": "04/12/2022 00:49:02",
"content": "Then we choose to take the partial derivative wrt x",
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"id": 963299842057195600,
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"timestamp": "04/12/2022 00:49:39",
"content": "2x + 2z z' = 0",
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"timestamp": "04/12/2022 00:49:42",
"content": "That works",
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"timestamp": "04/12/2022 00:58:00",
"content": "Channel closed",
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}
] |
help-9
|
1f9c71faa21f4b24b6c77e125721ee59
|
199,328 |
[
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"timestamp": "04/12/2022 00:59:01",
"content": "Available help channel!",
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},
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"id": 963303038985064400,
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"author_id": 210095160623628300,
"author_name": "Frizzzle",
"timestamp": "04/12/2022 01:02:35",
"content": "Can someone help me see how they simplified this?",
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"author_id": 210095160623628300,
"author_name": "Frizzzle",
"timestamp": "04/12/2022 01:03:24",
"content": "Oh never mind they did a couple of steps at once",
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"id": 963304755030007800,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "04/12/2022 01:09:10",
"content": "Not convinced on your working here considering you've found is not $\\delta z / \\delta x$, maybe google chain rule in 2 variables to see what I mean",
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"id": 963304778543272000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/12/2022 01:09:16",
"content": "Feel free to close the channel if you are done, using ```.close```",
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"id": 963305335328751600,
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"author_name": "Max..",
"timestamp": "04/12/2022 01:11:29",
"content": "Also notice if we instead rearranged for z and sqrted and then did $\\delta / \\delta x$ we get a completely different answer that isn't dependent on z",
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"content": "**Max..**",
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"content": "**Max..**",
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"timestamp": "04/12/2022 01:17:04",
"content": "it's the same thing",
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"timestamp": "04/12/2022 01:17:12",
"content": "you just have to substitute back in for the definition of z",
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"id": 963307015520792700,
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"author_name": "EndTimes",
"timestamp": "04/12/2022 01:18:09",
"content": "recall that we defined z = z(x,y)",
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"id": 963308277695922200,
"author_id": 805217272087838700,
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"timestamp": "04/12/2022 01:23:10",
"content": "@Frizzzle Has your question been resolved?",
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"id": 963308391005028400,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "04/12/2022 01:23:37",
"content": "True it's 6am 😂 I think the main thing is tho if you can rearrange to get one of the variables on one side then you can do this but not always is this the case and generally it's not useful.",
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"timestamp": "04/12/2022 01:38:10",
"content": "Channel closed",
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}
] |
help-9
|
e70ca736148d43d1abd93ce8142d932a
|
199,329 |
[
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"timestamp": "04/12/2022 08:02:09",
"content": "Available help channel!",
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},
{
"id": 963408831344422900,
"author_id": 808388164107763700,
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"content": "Pinned a message.",
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"id": 963410870631825400,
"author_id": 808388164107763700,
"author_name": "øst",
"timestamp": "04/12/2022 08:10:50",
"content": "anyways im not quite sure how to check they both go through the orgin",
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},
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"id": 963410887337726000,
"author_id": 808388164107763700,
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"timestamp": "04/12/2022 08:10:54",
"content": "is it because theyre dependent?",
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"content": "@øst Has your question been resolved?",
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"content": "@øst Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
473cd358395e4d3b99ab36ff5e6cbaaf
|
199,330 |
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"author_id": 302263686288900100,
"author_name": "Bread",
"timestamp": "04/12/2022 09:17:53",
"content": "anyone have any idea why the Argument function in maple isn't working?",
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"timestamp": "04/12/2022 09:17:53",
"content": "Pinned a message.",
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"timestamp": "04/12/2022 09:22:29",
"content": "better SS",
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"timestamp": "04/12/2022 09:37:29",
"content": "@Bread Has your question been resolved?",
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"timestamp": "04/12/2022 09:52:29",
"content": "Channel closed",
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}
] |
help-9
|
272a4b6087404879aed24d14c183bd5f
|
199,331 |
[
{
"id": 963436704293879800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/12/2022 09:53:30",
"content": "Available help channel!",
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},
{
"id": 963438352152023000,
"author_id": 921012659388809200,
"author_name": "Rooms By The Sea",
"timestamp": "04/12/2022 10:00:02",
"content": "I'm struggling to prove these identities: sec x + tan x ≡ (cos x) ÷ 1 - sin x",
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},
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"id": 963438354135937000,
"author_id": 805217272087838700,
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"timestamp": "04/12/2022 10:00:03",
"content": "Pinned a message.",
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"id": 963438521287340200,
"author_id": 774241903025455100,
"author_name": "py",
"timestamp": "04/12/2022 10:00:43",
"content": "okay so do you know what sec x means?",
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"author_id": 921012659388809200,
"author_name": "Rooms By The Sea",
"timestamp": "04/12/2022 10:01:02",
"content": "yeah 1 ÷ cos x",
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},
{
"id": 963438634860695600,
"author_id": 774241903025455100,
"author_name": "py",
"timestamp": "04/12/2022 10:01:10",
"content": "yep",
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},
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"author_id": 774241903025455100,
"author_name": "py",
"timestamp": "04/12/2022 10:01:20",
"content": "tan x = sin x / cos x right?",
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},
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"author_name": "Rooms By The Sea",
"timestamp": "04/12/2022 10:01:27",
"content": "yeah",
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"author_id": 921012659388809200,
"author_name": "Rooms By The Sea",
"timestamp": "04/12/2022 10:01:35",
"content": "i'm able to do that",
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},
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"id": 963438748081725600,
"author_id": 774241903025455100,
"author_name": "py",
"timestamp": "04/12/2022 10:01:37",
"content": "so 1/cos x + sin x/cos x =",
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"author_name": "Rooms By The Sea",
"timestamp": "04/12/2022 10:02:13",
"content": "yeah I'm able to work that out as well",
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},
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"author_id": 921012659388809200,
"author_name": "Rooms By The Sea",
"timestamp": "04/12/2022 10:02:44",
"content": "It's just the next bit to make it look like the RHS I'm struggling with",
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},
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"id": 963439129557893100,
"author_id": 774241903025455100,
"author_name": "py",
"timestamp": "04/12/2022 10:03:08",
"content": "uhh just wanted to make sure you copied the RHS right, its cos x / (1-sin x) ?",
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"author_name": "Rooms By The Sea",
"timestamp": "04/12/2022 10:04:35",
"content": "yeah thats what it says, but I can't manipulate the LHS to look like the RHS",
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"timestamp": "04/12/2022 10:04:45",
"content": "ill give it a try",
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},
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"timestamp": "04/12/2022 10:08:53",
"content": "@Rooms By The Sea okay yeah i got it",
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"author_name": "py",
"timestamp": "04/12/2022 10:09:02",
"content": "approach the question from the RHS side",
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"id": 963440645123506300,
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"author_name": "py",
"timestamp": "04/12/2022 10:09:09",
"content": "so cos x / 1-sinx",
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},
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"id": 963440717647196200,
"author_id": 774241903025455100,
"author_name": "py",
"timestamp": "04/12/2022 10:09:26",
"content": "multiply the denominator and numerator by 1+sin x",
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},
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"id": 963440731568091100,
"author_id": 774241903025455100,
"author_name": "py",
"timestamp": "04/12/2022 10:09:30",
"content": "and then give it a try",
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"author_name": "Rooms By The Sea",
"timestamp": "04/12/2022 10:21:11",
"content": "I get: cos x + cos x sin x / 1 - sin^2 x",
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"timestamp": "04/12/2022 10:21:52",
"content": "yes exactly, you dont actually want to expand the numerator at first tho",
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"author_name": "py",
"timestamp": "04/12/2022 10:22:08",
"content": "so leave it as the product version",
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"id": 963443931553628200,
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"author_name": "py",
"timestamp": "04/12/2022 10:22:13",
"content": "and focus on the denominator",
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"id": 963443983231647700,
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"author_name": "py",
"timestamp": "04/12/2022 10:22:25",
"content": "1-sin^2 x looks very familiar to an identity we usually use",
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"author_id": 921012659388809200,
"author_name": "Rooms By The Sea",
"timestamp": "04/12/2022 10:25:05",
"content": "is the identity in relation to sin^2 x +cos^2 x ≡ 1",
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},
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"id": 963445201563709400,
"author_id": 774241903025455100,
"author_name": "py",
"timestamp": "04/12/2022 10:27:15",
"content": "yes",
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"timestamp": "04/12/2022 10:27:28",
"content": "you can change the denominator to cancel out something",
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"id": 963445279678423000,
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"author_name": "py",
"timestamp": "04/12/2022 10:27:34",
"content": "1-sin^2x = ?",
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"author_id": 921012659388809200,
"author_name": "Rooms By The Sea",
"timestamp": "04/12/2022 10:29:27",
"content": "cos^2 x",
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},
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"id": 963445769870917600,
"author_id": 774241903025455100,
"author_name": "py",
"timestamp": "04/12/2022 10:29:31",
"content": "yep",
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},
{
"id": 963445833150386300,
"author_id": 774241903025455100,
"author_name": "py",
"timestamp": "04/12/2022 10:29:46",
"content": "cosx (1+sinx) / cos^2x",
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},
{
"id": 963445874493648900,
"author_id": 774241903025455100,
"author_name": "py",
"timestamp": "04/12/2022 10:29:56",
"content": "cancel out the like terms",
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},
{
"id": 963446061718970400,
"author_id": 921012659388809200,
"author_name": "Rooms By The Sea",
"timestamp": "04/12/2022 10:30:41",
"content": "1 + sin x / cos x",
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},
{
"id": 963446214827847800,
"author_id": 921012659388809200,
"author_name": "Rooms By The Sea",
"timestamp": "04/12/2022 10:31:17",
"content": "then apply the identities we discussed concerning sec x and tan x",
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},
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"id": 963446254552113200,
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"timestamp": "04/12/2022 10:31:27",
"content": "well yes and no",
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"id": 963446276828053500,
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"author_name": "py",
"timestamp": "04/12/2022 10:31:32",
"content": "you can just split the fraction at this step",
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},
{
"id": 963446298692960400,
"author_id": 774241903025455100,
"author_name": "py",
"timestamp": "04/12/2022 10:31:37",
"content": "and get the LHS value",
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"id": 963446362073079900,
"author_id": 774241903025455100,
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"timestamp": "04/12/2022 10:31:52",
"content": "cus 1+sinx / cos x = 1/cos x + sinx/cos x",
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},
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"author_id": 921012659388809200,
"author_name": "Rooms By The Sea",
"timestamp": "04/12/2022 10:31:55",
"content": "yeah thats what i meant sorry I should of been clearer",
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},
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"id": 963446387792556200,
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"timestamp": "04/12/2022 10:31:58",
"content": "yep",
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},
{
"id": 963446402321625100,
"author_id": 774241903025455100,
"author_name": "py",
"timestamp": "04/12/2022 10:32:02",
"content": "thats it",
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"author_name": "Rooms By The Sea",
"timestamp": "04/12/2022 10:32:38",
"content": "cheers",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/12/2022 10:47:38",
"content": "@Rooms By The Sea Has your question been resolved?",
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"timestamp": "04/12/2022 10:48:01",
"content": "Channel closed",
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}
] |
help-9
|
ac558fb5627d4e17b21927ec7fa3f5bb
|
199,332 |
[
{
"id": 955988136922595300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/22/2022 20:35:33",
"content": "Available help channel!",
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},
{
"id": 955989254893346800,
"author_id": 810002935517151200,
"author_name": "Arcav",
"timestamp": "03/22/2022 20:39:59",
"content": "is this correct",
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"timestamp": "03/22/2022 20:40:00",
"content": "Pinned a message.",
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"id": 955990878860759000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/22/2022 20:46:26",
"content": "no",
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},
{
"id": 955991020770840600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "03/22/2022 20:47:00",
"content": "show work",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 955991064660029400,
"author_id": 810002935517151200,
"author_name": "Arcav",
"timestamp": "03/22/2022 20:47:11",
"content": "im an idiot sorry lol",
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{
"id": 955991099179171800,
"author_id": 810002935517151200,
"author_name": "Arcav",
"timestamp": "03/22/2022 20:47:19",
"content": "its x=4 i tried to say x-4 = x=-4",
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},
{
"id": 955991172604641300,
"author_id": 810002935517151200,
"author_name": "Arcav",
"timestamp": "03/22/2022 20:47:37",
"content": "i thought i was doing it wrong because why is there multiple answers for 1 answer lol",
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},
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"id": 955994949013340200,
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"author_name": "Mathematics Bot",
"timestamp": "03/22/2022 21:02:37",
"content": "@Arcav Has your question been resolved?",
"attachments": [],
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"timestamp": "03/22/2022 21:17:37",
"content": "Channel closed",
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}
] |
help-9
|
fcd2fe7742ba4c2892b7f0a4a89afde7
|
199,333 |
[
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"timestamp": "04/12/2022 10:49:01",
"content": "Available help channel!",
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},
{
"id": 963452179195244700,
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"timestamp": "04/12/2022 10:54:59",
"content": "Pinned a message.",
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}
] |
help-9
|
f5b31a5400fb4c5ca0db220f8f0f5f65
|
199,334 |
[
{
"id": 963452207917858800,
"author_id": 283632010378084380,
"author_name": "chosensty",
"timestamp": "04/12/2022 10:55:06",
"content": "I need help with this equation",
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},
{
"id": 963452294547001300,
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"author_name": "chosensty",
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"timestamp": "04/12/2022 10:55:30",
"content": "that one at the bottom",
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"timestamp": "04/12/2022 10:55:42",
"content": "the thing I don't understand is this part",
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"timestamp": "04/12/2022 10:55:49",
"content": "(v1 - v2, C1 -C2)",
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"author_name": "chosensty",
"timestamp": "04/12/2022 10:55:56",
"content": "like why is there a comma? what does a comma mean in math?",
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"author_name": "Kaynex",
"timestamp": "04/12/2022 10:56:30",
"content": "(a,b) is a vector with \nx-component = a\ny-component = b",
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"timestamp": "04/12/2022 10:56:47",
"content": "so it's a vector",
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"timestamp": "04/12/2022 10:56:59",
"content": "where a = v1 - v2 and b = c1 - c2",
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"timestamp": "04/12/2022 10:57:44",
"content": "what about the bottom part? \\|\\|C1 - C2\\|\\| ^2",
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"author_name": "Brun。",
"timestamp": "04/12/2022 10:57:58",
"content": "I think that's the dot product, they're using <,> and not (,)",
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"timestamp": "04/12/2022 10:58:12",
"content": "Yeah that makes more sense, actually",
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"content": "Never heard of a dot product, I can research it on my own though",
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"content": "lastly I just need to understand the bottom bit",
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"content": "\\|\\|c1 - c2\\|\\|",
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"timestamp": "04/12/2022 10:58:45",
"content": "double modulus?",
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"timestamp": "04/12/2022 10:59:06",
"content": "Magnitude of the vector",
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"content": "I know that one of them means magnitude",
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"timestamp": "04/12/2022 10:59:27",
"content": "but why are there two",
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"content": "is that just how there notation is?",
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"content": "If z = (x,y)\nThen |z| = √[x² + y²]",
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"timestamp": "04/12/2022 10:59:45",
"content": "Different possible notations yeah",
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"timestamp": "04/12/2022 10:59:54",
"content": "looks odd but makes more sense now",
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"timestamp": "04/12/2022 11:00:06",
"content": "that clears it all up, thanks!",
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"content": "Available help channel!",
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"timestamp": "04/12/2022 11:13:55",
"content": "hello, i've tried to solve this analysis question, but i'm getting nowhere with it -- i assume i'm meant to find a lower and upper bound for the expression, and then try and prove that they are the greatest lower and least upper bounds, however i fail to see where to start finding those bounds",
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"content": "Pinned a message.",
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"timestamp": "04/12/2022 11:15:52",
"content": "Did you differentiate the function",
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"content": "I know that the set only takes values at integers, but I'd thought the general function taking non-negative numbers as its domain would be relevant",
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"content": "ok, i can try -- am i allowed to differentiate a function in real analysis before differentiation has been introduced?",
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"content": "Don't ask me :thonk:",
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"content": "It's just that differentiation is the first thing I would consider",
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"timestamp": "04/12/2022 11:18:42",
"content": "haha ok, thank you 🙂",
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"timestamp": "04/12/2022 11:18:51",
"content": "i guess you mean in order to find the turning points?",
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"content": "That but actually also the increasing and decreasing portions of the function",
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"content": "You would need them to argue for the supremum",
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"timestamp": "04/12/2022 11:22:05",
"content": "alright, so if i differentiate i get \\frac{4x^2-4x-4}{(x^2+1)^2}",
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"timestamp": "04/12/2022 11:22:35",
"content": "(using x instead of n)",
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"timestamp": "04/12/2022 11:24:11",
"content": "setting this to 0 i suppose i'd get x= +- 1",
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"timestamp": "04/12/2022 11:24:51",
"content": "however i'm unsure whether this is right",
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"content": "The derivative value being 0 does not occur at inputs +-1 O,o",
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"timestamp": "04/12/2022 11:25:29",
"content": "The function is 0 at 1",
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"timestamp": "04/12/2022 11:26:48",
"content": "ugh, ok i must have done something dumb somewhere",
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"timestamp": "04/12/2022 11:28:23",
"content": "i'll try and rework it -- is the general algorithm for a problem like this to differentiate the expression and find inflection points, then use those inflection points to find bounds, and then finally argue that those bounds are the sup and inf?",
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"timestamp": "04/12/2022 11:31:29",
"content": "try factoring",
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"content": "this gives you inf immidietialty",
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"content": "For differentiable functions yes, I think that is standard",
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"content": "Rather than inflection points you want the set of all extrema candidates",
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"content": "Which is typically possible to check",
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"content": "@atia.famia Has your question been resolved?",
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] |
help-9
|
f85c7543000c48a5a82d57b0f27fa85b
|
199,335 |
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"author_name": "Eradax",
"timestamp": "04/12/2022 12:00:35",
"content": "Important variables:\nT the temperature of the body\nT_0 the temperature of the room\nD = T - T_0",
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"timestamp": "04/12/2022 12:02:17",
"content": "I can't seem to find a way for the temperature of the body to never get below the temperature of the room. Should I use logarithms? If so how",
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"timestamp": "04/12/2022 12:14:02",
"content": "@Helpers",
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"timestamp": "04/12/2022 12:28:29",
"content": "So my thoughts are to use logs but I can't seem the figure it out any help is appreciated 👍",
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"content": "D should be equal x^t where x is between 0 and 1",
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"content": "Oh",
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"content": "But t is the time and x is the temp?",
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"content": "No",
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"content": "X is the number that you want to find",
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"timestamp": "04/12/2022 12:32:05",
"content": "That fits the scenarios",
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"timestamp": "04/12/2022 12:32:19",
"content": "That would be the time",
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"timestamp": "04/12/2022 12:32:30",
"content": "(another time)",
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"author_id": 471271187771555840,
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"timestamp": "04/12/2022 12:32:58",
"content": "?",
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"timestamp": "04/12/2022 12:33:20",
"content": "if x is larger the body cools down slower… nothing to do with t or anything",
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"timestamp": "04/12/2022 12:33:20",
"content": "So i want to find the time the man got murdered",
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"timestamp": "04/12/2022 12:33:46",
"content": "Oh",
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"timestamp": "04/12/2022 12:33:53",
"content": "X is the rate",
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"timestamp": "04/12/2022 12:34:15",
"content": "Alright let me try to figure out X",
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"timestamp": "04/12/2022 12:38:53",
"content": ",rotate",
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},
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"author_name": "TeXit",
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"timestamp": "04/12/2022 12:39:47",
"content": "Results provided by WolframAlpha",
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},
{
"id": 963478964100300900,
"author_id": 526311892675854340,
"author_name": "Eradax",
"timestamp": "04/12/2022 12:41:25",
"content": "Missed crucial detail: the body started at temp 37",
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"content": "Results provided by WolframAlpha",
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},
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"timestamp": "04/12/2022 13:07:05",
"content": "@Eradax Has your question been resolved?",
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"timestamp": "04/12/2022 13:09:55",
"content": "Can you walk me through how to solve this i feel like I am making a lot of mistakes and a bit uncertain of how to do this",
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"content": ". close",
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},
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"timestamp": "04/12/2022 13:16:48",
"content": ".close",
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},
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"id": 963487869035483100,
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"timestamp": "04/12/2022 13:16:48",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
066ced08166745059a3834716a71e5dd
|
199,336 |
[
{
"id": 963488124695117800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/12/2022 13:17:49",
"content": "Available help channel!",
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"reference": null
},
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"id": 963490749230510100,
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"author_name": "Toge",
"timestamp": "04/12/2022 13:28:38",
"content": "I missed something. How are those points satisfying our equation?",
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"id": 963490989866090600,
"author_id": 842836522029678600,
"author_name": "Yeetus",
"timestamp": "04/12/2022 13:29:12",
"content": "Well what's F_11 exactly?",
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},
{
"id": 963491080286924800,
"author_id": 214842116902354940,
"author_name": "Toge",
"timestamp": "04/12/2022 13:29:34",
"content": "modulo 11",
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"id": 963491199048634400,
"author_id": 214842116902354940,
"author_name": "Toge",
"timestamp": "04/12/2022 13:30:02",
"content": "denotes the finite field Z/11Z",
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"id": 963491277540835300,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/12/2022 13:30:21",
"content": "Indeed, in F11,\n0 = (-1)³ + 1",
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},
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"id": 963491323632046100,
"author_id": 214842116902354940,
"author_name": "Toge",
"timestamp": "04/12/2022 13:30:32",
"content": "the first one I can agree",
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},
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"id": 963491356104339600,
"author_id": 214842116902354940,
"author_name": "Toge",
"timestamp": "04/12/2022 13:30:40",
"content": "but if I take the last one...",
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"id": 963491479752425500,
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"timestamp": "04/12/2022 13:31:09",
"content": "3^3+1 = 28 = 6 mod 11",
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},
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"id": 963491508080758800,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/12/2022 13:31:16",
"content": "Saying that\n5² = 3³ + 1",
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"id": 963491558047502300,
"author_id": 214842116902354940,
"author_name": "Toge",
"timestamp": "04/12/2022 13:31:28",
"content": "5^2 mod 11 = 3",
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},
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"id": 963491838659027000,
"author_id": 893231739009400800,
"author_name": "Eseba🔱",
"timestamp": "04/12/2022 13:32:35",
"content": "",
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"id": 963491860557492200,
"author_id": 893231739009400800,
"author_name": "Eseba🔱",
"timestamp": "04/12/2022 13:32:40",
"content": "Is thats true??",
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},
{
"id": 963491869696856000,
"author_id": 893231739009400800,
"author_name": "Eseba🔱",
"timestamp": "04/12/2022 13:32:42",
"content": "Pls",
"attachments": [],
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"reference": null
},
{
"id": 963491969122844700,
"author_id": 893231739009400800,
"author_name": "Eseba🔱",
"timestamp": "04/12/2022 13:33:06",
"content": "Emergency case 🚨🚨",
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},
{
"id": 963491993776971800,
"author_id": 214842116902354940,
"author_name": "Toge",
"timestamp": "04/12/2022 13:33:12",
"content": "um, wrong chat I guess. Wait",
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},
{
"id": 963492035850014700,
"author_id": 214842116902354940,
"author_name": "Toge",
"timestamp": "04/12/2022 13:33:22",
"content": "ax+y",
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},
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"id": 963492044381237400,
"author_id": 893231739009400800,
"author_name": "Eseba🔱",
"timestamp": "04/12/2022 13:33:24",
"content": "Yes but pls",
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"id": 963492163298152400,
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"author_name": "Toge",
"timestamp": "04/12/2022 13:33:52",
"content": "x+2y, the result 1x2 matrix, so you need two columns. not two rows @Eseba🔱",
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"timestamp": "04/12/2022 13:33:53",
"content": "ax + y \n3y",
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"id": 963492231329747100,
"author_id": 214842116902354940,
"author_name": "Toge",
"timestamp": "04/12/2022 13:34:08",
"content": "nvm",
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"id": 963492299470417900,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/12/2022 13:34:25",
"content": "Yeah you're right, they don't quite match, do they?",
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"id": 963492366105329800,
"author_id": 214842116902354940,
"author_name": "Toge",
"timestamp": "04/12/2022 13:34:40",
"content": "I am so confused about ECC. And my talk is tomorrow xD",
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"id": 963492407784132700,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/12/2022 13:34:50",
"content": "ECC?",
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},
{
"id": 963492456589033500,
"author_id": 214842116902354940,
"author_name": "Toge",
"timestamp": "04/12/2022 13:35:02",
"content": "I just talk little bit about Elliptic Curve Key Exchange..",
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"content": "",
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"author_name": "Toge",
"timestamp": "04/12/2022 13:40:13",
"content": "wolfram gives me those points. And I agreee with all of them.",
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{
"id": 963493990261477400,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/12/2022 13:41:08",
"content": "Very possible the solution is wrong. Happens often",
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"id": 963494238136463400,
"author_id": 214842116902354940,
"author_name": "Toge",
"timestamp": "04/12/2022 13:42:07",
"content": "Do you know by any chance what I can understand as field extension Fp^k?",
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{
"id": 963494602789236700,
"author_id": 214842116902354940,
"author_name": "Toge",
"timestamp": "04/12/2022 13:43:34",
"content": "All I know is for every k, there is a field with p^k elements.",
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"id": 963494665070448600,
"author_id": 214842116902354940,
"author_name": "Toge",
"timestamp": "04/12/2022 13:43:49",
"content": "So Fp^k corresponds to such a field...",
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"id": 963494822285574100,
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"timestamp": "04/12/2022 13:44:26",
"content": "basic definition of elliptic curve. I understand elliptic curves on Fp now.",
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"timestamp": "04/12/2022 13:59:26",
"content": "@Toge Has your question been resolved?",
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"timestamp": "04/12/2022 14:00:31",
"content": "Channel closed",
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}
] |
help-9
|
d5278c9010cd44dbb6f86c1585f5c9be
|
199,337 |
[
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"author_name": "Mathematics Bot",
"timestamp": "04/12/2022 14:01:31",
"content": "Available help channel!",
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},
{
"id": 963504141706068000,
"author_id": 360403289570934800,
"author_name": "Suspect T",
"timestamp": "04/12/2022 14:21:28",
"content": "Hello, guy with a limited self taught math knowledge here. For one of my programming adventures im trying to find the inverse of the following function: (1-0.5^(1/x))^x. The closest i've gotten is x^(1/y)=1-0.5^(1/y) but here is where my struggle begins. How can i get rid of the 1/y exponent? And just in case anyone is curious how i even ended up having this problem: i'm trying to define a curve with its function being: (1-x^(1/k))^k. The center point in the region of interest (0 to 1) being 0.5, which i want to control the y position of. So the question was which value of k corresponds to the value y at x = 0.5.\nI'll attach a screenshot of the function and the function in question :)",
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"timestamp": "04/12/2022 14:21:28",
"content": "Pinned a message.",
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"author_id": 842836522029678600,
"author_name": "Yeetus",
"timestamp": "04/12/2022 14:25:08",
"content": "The 1/y exponent in x^{1/y}?",
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"id": 963505125366837200,
"author_id": 360403289570934800,
"author_name": "Suspect T",
"timestamp": "04/12/2022 14:25:22",
"content": "On both sides i guess",
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"id": 963505176428281900,
"author_id": 360403289570934800,
"author_name": "Suspect T",
"timestamp": "04/12/2022 14:25:35",
"content": "I want to move y to the left",
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},
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"id": 963505260712824800,
"author_id": 842836522029678600,
"author_name": "Yeetus",
"timestamp": "04/12/2022 14:25:55",
"content": "Well to get rid of the 1/y exponent for x you would just raise it to the power of y",
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"author_name": "Yeetus",
"timestamp": "04/12/2022 14:26:57",
"content": "But to get y to the other side I'm not sure how useful it is since you get x = (1-0.5^{1/y})^y",
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"id": 963505640779706500,
"author_id": 360403289570934800,
"author_name": "Suspect T",
"timestamp": "04/12/2022 14:27:25",
"content": "Which is back where i started",
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"id": 963505657686941700,
"author_id": 842836522029678600,
"author_name": "Yeetus",
"timestamp": "04/12/2022 14:27:29",
"content": "I suppose you could take ln on both sides to get ln(x) = yln(1-0.5^{1/y})",
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"id": 963505785860669600,
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"author_name": "Suspect T",
"timestamp": "04/12/2022 14:28:00",
"content": "Maybe that helps, imma try going down that route :)",
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"author_name": "Yeetus",
"timestamp": "04/12/2022 14:28:25",
"content": "You can rewrite the ln(1-0.5^{1/y})",
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},
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"id": 963505945676226700,
"author_id": 842836522029678600,
"author_name": "Yeetus",
"timestamp": "04/12/2022 14:28:38",
"content": "I think you should get plenty far from there I hope",
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"id": 963506008221708400,
"author_id": 360403289570934800,
"author_name": "Suspect T",
"timestamp": "04/12/2022 14:28:53",
"content": "Thanks :)",
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},
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"id": 963506134453469200,
"author_id": 842836522029678600,
"author_name": "Yeetus",
"timestamp": "04/12/2022 14:29:23",
"content": "No worries!",
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},
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"id": 963506143089528800,
"author_id": 360403289570934800,
"author_name": "Suspect T",
"timestamp": "04/12/2022 14:29:25",
"content": ".close",
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},
{
"id": 963506144737894400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/12/2022 14:29:25",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
3b95858695184dd09f49679ec245faee
|
199,338 |
[
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"content": "Available help channel!",
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"author_name": "Mathematics Bot",
"timestamp": "04/12/2022 15:01:01",
"content": "Pinned a message.",
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{
"id": 963514118571163600,
"author_id": 217096962430730240,
"author_name": "Yams",
"timestamp": "04/12/2022 15:01:07",
"content": "I'm having a problem with this",
"attachments": [],
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"reference": null
},
{
"id": 963514156726780000,
"author_id": 217096962430730240,
"author_name": "Yams",
"timestamp": "04/12/2022 15:01:16",
"content": "this is calc 3, differential equations",
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},
{
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"timestamp": "04/12/2022 15:16:16",
"content": "@Yams Has your question been resolved?",
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"timestamp": "04/12/2022 15:46:34",
"content": "@Yams Has your question been resolved?",
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"id": 963533926465421300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/12/2022 16:19:49",
"content": ".close",
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},
{
"id": 963533930110283800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/12/2022 16:19:50",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
99bfa6a220fa4f1bbc9e0bac0dadf857
|
199,339 |
[
{
"id": 963553575949172900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/12/2022 17:37:54",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963554699695505400,
"author_id": 310130706518900740,
"author_name": "Murat",
"timestamp": "04/12/2022 17:42:22",
"content": "can someone explain where did ln4 come from at the last part",
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"timestamp": "04/12/2022 17:42:22",
"content": "Pinned a message.",
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}
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{
"id": 963555112406642700,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "04/12/2022 17:44:00",
"content": "looks like l'hopital's rule was used?",
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},
{
"id": 963555839438897200,
"author_id": 310130706518900740,
"author_name": "Murat",
"timestamp": "04/12/2022 17:46:54",
"content": "damn ur right",
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},
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"id": 963555847051555000,
"author_id": 310130706518900740,
"author_name": "Murat",
"timestamp": "04/12/2022 17:46:55",
"content": ".close",
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},
{
"id": 963555848544714900,
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"author_name": "Mathematics Bot",
"timestamp": "04/12/2022 17:46:56",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
32a46227470e4a96a804e057696ec082
|
199,340 |
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"timestamp": "04/12/2022 17:52:24",
"content": "Available help channel!",
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"reference": null
},
{
"id": 963558104061063200,
"author_id": 77079881678069760,
"author_name": "aster223",
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"content": "Pinned a message.",
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"id": 963558272168779800,
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"author_name": "aster223",
"timestamp": "04/12/2022 17:56:34",
"content": "I got 1,2,3 but not sure about 4 5 6",
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},
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"timestamp": "04/12/2022 18:11:34",
"content": "@aster223 Has your question been resolved?",
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"timestamp": "04/12/2022 18:11:42",
"content": "Channel closed",
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}
] |
help-9
|
7ac0e94b65a544a18ef1c37de85b739b
|
199,341 |
[
{
"id": 963562333613990000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/12/2022 18:12:42",
"content": "Available help channel!",
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},
{
"id": 963562394389446700,
"author_id": 539412915929874400,
"author_name": "ahmadd",
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"content": "Pinned a message.",
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{
"id": 963563914908553200,
"author_id": 961006652218302500,
"author_name": "n4temixist 🏳⚧",
"timestamp": "04/12/2022 18:18:59",
"content": "ZY / ZX = WY / XT i think",
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"id": 963563920562483200,
"author_id": 961006652218302500,
"author_name": "n4temixist 🏳⚧",
"timestamp": "04/12/2022 18:19:00",
"content": "you just use the law",
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},
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"id": 963564007447462000,
"author_id": 961006652218302500,
"author_name": "n4temixist 🏳⚧",
"timestamp": "04/12/2022 18:19:21",
"content": "don't count on my answer \n\njust based on my own studying",
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},
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"id": 963564094303133700,
"author_id": 961006652218302500,
"author_name": "n4temixist 🏳⚧",
"timestamp": "04/12/2022 18:19:42",
"content": "5 / ZX = 4 / 8",
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},
{
"id": 963564154457825300,
"author_id": 961006652218302500,
"author_name": "n4temixist 🏳⚧",
"timestamp": "04/12/2022 18:19:56",
"content": "ZX = 5 * 8 / 4",
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},
{
"id": 963564226767646800,
"author_id": 961006652218302500,
"author_name": "n4temixist 🏳⚧",
"timestamp": "04/12/2022 18:20:13",
"content": "Which would give you 10 metres",
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},
{
"id": 963564610647101400,
"author_id": 961006652218302500,
"author_name": "n4temixist 🏳⚧",
"timestamp": "04/12/2022 18:21:45",
"content": "it's thales theorem",
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"timestamp": "04/12/2022 18:27:57",
"content": "@ahmadd Has your question been resolved?",
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"timestamp": "04/12/2022 18:36:10",
"content": "Channel closed",
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}
] |
help-9
|
9b098548b51a4397bb7d145117dda219
|
199,342 |
[
{
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"timestamp": "04/12/2022 19:06:17",
"content": "Available help channel!",
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},
{
"id": 963576419349319800,
"author_id": 770553234225365000,
"author_name": "rayane ettaouil",
"timestamp": "04/12/2022 19:08:40",
"content": "hi, what is AE?",
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"content": "Pinned a message.",
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"id": 963576873160433800,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 19:10:28",
"content": "what have you tried",
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},
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"id": 963580195187613700,
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"author_name": "Mathematics Bot",
"timestamp": "04/12/2022 19:23:40",
"content": "@rayane ettaouil Has your question been resolved?",
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"timestamp": "04/12/2022 19:54:49",
"content": "@rayane ettaouil Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
c2ac59cf9ca3431592764cb8441f858e
|
199,343 |
[
{
"id": 955998977008992300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/22/2022 21:18:37",
"content": "Available help channel!",
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},
{
"id": 956002163845386200,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/22/2022 21:31:17",
"content": "Hey, P and Q are extremas, blue and red are asymptotes, can someone tell me how to draw functions?\n\nI am just going off the top of my head, I don't remember the question verbatim, but I want to make sure if I did it correctly during the test.",
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"timestamp": "03/22/2022 21:31:17",
"content": "Pinned a message.",
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"id": 956002702226255900,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/22/2022 21:33:25",
"content": "ok",
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},
{
"id": 956002739756859400,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/22/2022 21:33:34",
"content": "Here is my attempt, sorry for the bad drawing",
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"id": 956002826331521000,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/22/2022 21:33:55",
"content": "Is this correct haha",
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},
{
"id": 956002861387493400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/22/2022 21:34:03",
"content": "did you just have to draw it?",
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},
{
"id": 956002883671838700,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/22/2022 21:34:09",
"content": "or actually find the function",
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},
{
"id": 956003008683069600,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/22/2022 21:34:38",
"content": "no just draw it",
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},
{
"id": 956003050554814500,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/22/2022 21:34:48",
"content": "i didn't even know if you could draw it like this",
"attachments": [],
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},
{
"id": 956003075183763600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/22/2022 21:34:54",
"content": "yeah that works",
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},
{
"id": 956003085946343400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/22/2022 21:34:57",
"content": "good job!",
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},
{
"id": 956003093877751800,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/22/2022 21:34:59",
"content": "i think i'm missing something",
"attachments": [],
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},
{
"id": 956003123594428400,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/22/2022 21:35:06",
"content": "left of the blue line",
"attachments": [],
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},
{
"id": 956003179982626800,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/22/2022 21:35:19",
"content": "i don't know",
"attachments": [],
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},
{
"id": 956003255580778600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/22/2022 21:35:37",
"content": "make sure your extrema are actually extrema when you draw them",
"attachments": [],
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},
{
"id": 956003307032309800,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/22/2022 21:35:50",
"content": "yeah i tried, it was the apex",
"attachments": [],
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},
{
"id": 956003358227984400,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/22/2022 21:36:02",
"content": "when i drew it",
"attachments": [],
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},
{
"id": 956003373675593700,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/22/2022 21:36:05",
"content": "according to your drawing point Q is not an extrema",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 956003426989408300,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/22/2022 21:36:18",
"content": "how would you draw it?",
"attachments": [],
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"reference": null
},
{
"id": 956003713489731600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/22/2022 21:37:26",
"content": "",
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"id": 956003739871895600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/22/2022 21:37:33",
"content": "look at the black lines i drew",
"attachments": [],
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"reference": null
},
{
"id": 956003822386446300,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/22/2022 21:37:52",
"content": "it's a bit of a nitpick but just be careful about it",
"attachments": [],
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},
{
"id": 956005021986721900,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/22/2022 21:42:38",
"content": "fuck yeah",
"attachments": [],
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},
{
"id": 956005144028393500,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "03/22/2022 21:43:08",
"content": "but my teacher probably will give me + points since i've the conception down atleast",
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"timestamp": "03/22/2022 21:58:08",
"content": "@AuHasard Has your question been resolved?",
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"timestamp": "03/22/2022 22:13:08",
"content": "Channel closed",
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}
] |
help-9
|
b7f00beb21f74e378f8135ac0ff4115b
|
199,344 |
[
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"id": 963595835931762800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/12/2022 20:25:50",
"content": "Available help channel!",
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},
{
"id": 963595974415093900,
"author_id": 423883395316056060,
"author_name": "Not SaucX",
"timestamp": "04/12/2022 20:26:23",
"content": "What is the mclauren series of ln(1+3x)?",
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"id": 963595976403193900,
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"content": "I figured it out",
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"timestamp": "04/12/2022 20:42:33",
"content": "@Not SaucX Has your question been resolved?",
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}
] |
help-9
|
13d4aa4d998f4f8abde72853e3e34016
|
199,345 |
[
{
"id": 963610603182780400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/12/2022 21:24:30",
"content": "Available help channel!",
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},
{
"id": 963611344953831600,
"author_id": 302263686288900100,
"author_name": "Bread",
"timestamp": "04/12/2022 21:27:27",
"content": "Can someone help me with a maple problem? I am trying to find the maximium argument of a complex polynomial. what amI doing wrong?",
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"content": "Pinned a message.",
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"timestamp": "04/12/2022 21:36:13",
"content": "@Helpers",
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"id": 963614003840581800,
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"timestamp": "04/12/2022 21:38:01",
"content": "ahh shit i worked it out",
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"id": 963614027404152800,
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"timestamp": "04/12/2022 21:38:07",
"content": "im so fucking stupurd",
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},
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"id": 963614035859878000,
"author_id": 302263686288900100,
"author_name": "Bread",
"timestamp": "04/12/2022 21:38:09",
"content": "sorry i pinged'",
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"id": 963614056965607400,
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"timestamp": "04/12/2022 21:38:14",
"content": ".close",
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"content": "Channel closed",
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] |
help-9
|
3c8b33266ad04d5b86389a1fa403dca8
|
199,346 |
[
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help-9
|
437ff39a926f4aff90579b8bdc898af4
|
199,347 |
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{
"id": 963615008892256300,
"author_id": 442169120360759300,
"author_name": "Flazin",
"timestamp": "04/12/2022 21:42:01",
"content": ".close",
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"id": 963615063070089200,
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"content": ".reopen",
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"content": "Available help channel!",
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"id": 963622640860397600,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:12:20",
"content": "am confused as i only have one point a=3",
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"content": "Pinned a message.",
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"id": 963623512029921300,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:15:48",
"content": "what exactly is your confusion",
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"id": 963624077292105700,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:18:03",
"content": "honestly just how to start it",
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"id": 963624264907514000,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:18:48",
"content": "what's f(a)",
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{
"id": 963624412492464100,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:19:23",
"content": "33?\ni think?",
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"id": 963624507095023700,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:19:45",
"content": "looks good",
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"id": 963624534211166200,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:19:52",
"content": "it tells you f(x)",
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"id": 963624546408226800,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:19:55",
"content": "so what issue are you having",
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"id": 963624655195869200,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:20:21",
"content": "the f(x) part",
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"id": 963624716994756700,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:20:35",
"content": "it tells you",
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"id": 963624752382095500,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:20:44",
"content": "how would you get f(a) without knowing f(x)",
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"id": 963624786595037300,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:20:52",
"content": "you used f(x) to get f(a)",
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"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:20:56",
"content": "so i just plug it into the numerator?",
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"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:21:04",
"content": "you plug f(x) and f(a) in, yeah",
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"id": 963625144616616000,
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"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:22:17",
"content": "and how do i go about finiding the bottom x then?\ndo i factor the numerator?",
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"id": 963625343455989900,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:23:05",
"content": "the bottom x is just... x",
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"id": 963625349575479300,
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"timestamp": "04/12/2022 22:23:06",
"content": "it's a variable",
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"id": 963625364570112000,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:23:10",
"content": "and yes, you'll be factoring the numerator",
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"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:25:27",
"content": "so i assume\nx(x+8)",
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"timestamp": "04/12/2022 22:25:49",
"content": "that's f(x) factored, not what you want",
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"id": 963626074737111200,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:25:59",
"content": "what do you mean?",
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"author_id": 200013547491688450,
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"timestamp": "04/12/2022 22:26:07",
"content": "you factored f(x)",
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{
"id": 963626120618598400,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:26:10",
"content": "that is not the entire numerator",
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"id": 963626142550597600,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:26:15",
"content": "you want to factor the entire numerator",
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"id": 963626326667960400,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:26:59",
"content": "current numerator is \n(x^2 + 8x) +33",
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"id": 963626361229021200,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:27:07",
"content": "no",
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"id": 963626376139792400,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:27:11",
"content": "f(x)-f(a)",
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},
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"id": 963626402987520000,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:27:17",
"content": "not f(x)+f(a)",
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"id": 963626461909094400,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:27:31",
"content": "sorry",
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},
{
"id": 963626479399342100,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:27:36",
"content": "(x^2 + 8x) -33",
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},
{
"id": 963626487100100600,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:27:37",
"content": "right?",
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"id": 963626493752279200,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:27:39",
"content": "yeah",
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{
"id": 963626505689256100,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:27:42",
"content": "now factor that",
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{
"id": 963626552405397500,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:27:53",
"content": "x(x+8) - 33",
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"id": 963626560705945700,
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"timestamp": "04/12/2022 22:27:55",
"content": "no",
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"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:28:00",
"content": "huh?",
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"timestamp": "04/12/2022 22:28:06",
"content": "this is a product of two binomials with integer coefficients",
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"timestamp": "04/12/2022 22:28:25",
"content": "what does that mean?",
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"id": 963626750678532100,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:28:40",
"content": "that means you can most likely factor it in your head",
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"timestamp": "04/12/2022 22:28:44",
"content": "*completely* factor it",
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"id": 963627167877566500,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:30:20",
"content": "i think im missing something",
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"id": 963627225255665800,
"author_id": 200013547491688450,
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"timestamp": "04/12/2022 22:30:33",
"content": "you're doing calculus, you should know how to factor by now",
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"id": 963627533826400300,
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"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:31:47",
"content": "im just confused on how this isnt factored x(x+8) as i was taught it like this....",
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"id": 963627750822924300,
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"timestamp": "04/12/2022 22:32:39",
"content": "x(x+8) = (x^2 + 8x)",
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"id": 963627770171232300,
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"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:32:43",
"content": "yeah, that is true",
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"id": 963627780040446000,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:32:46",
"content": "but it doesn't help at all",
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},
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"id": 963627977663463600,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:33:33",
"content": "so is the x in the numerator diffrent from the x in the denominator\nor is it the same variable",
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"id": 963628030167748600,
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"timestamp": "04/12/2022 22:33:45",
"content": "they are the same variable",
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"id": 963628043744710700,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:33:48",
"content": "called the same thing",
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"author_name": "josemom2",
"timestamp": "04/12/2022 22:37:20",
"content": "factoring should give you the zeros of the quadratic, in this form setting x = 0 will still equate to (0, -33)",
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"timestamp": "04/12/2022 22:38:48",
"content": "is that not what we are looking for?",
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"timestamp": "04/12/2022 22:39:29",
"content": "no as the remainder is still -33",
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"timestamp": "04/12/2022 22:39:39",
"content": "f(0) does not equal 0 for this case",
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"timestamp": "04/12/2022 22:39:44",
"content": "and x(x+8) isnt the full factor",
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"timestamp": "04/12/2022 22:40:13",
"content": "(x^2 + 8x) \nbut f(0) works here?",
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"timestamp": "04/12/2022 22:40:22",
"content": "there is still a -33",
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"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:42:23",
"content": "im just confused on how else to factor (x^2 + 8x)",
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"timestamp": "04/12/2022 22:42:32",
"content": "factor the ENTIRE thing",
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"timestamp": "04/12/2022 22:42:38",
"content": "you're not factoring x^2+8x",
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"timestamp": "04/12/2022 22:42:41",
"content": "you're factoring x^2+8x-33",
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"timestamp": "04/12/2022 22:42:44",
"content": "the *numerator*",
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"timestamp": "04/12/2022 22:42:52",
"content": "do so by using quadratic formula or any other factoring method you know",
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"timestamp": "04/12/2022 22:44:28",
"content": "ohhhhh",
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"timestamp": "04/12/2022 22:44:47",
"content": "so\n(x+11)(x-3)",
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"timestamp": "04/12/2022 22:45:03",
"content": "bro i said that 3 times lmao",
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"id": 963630889173131300,
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"timestamp": "04/12/2022 22:45:07",
"content": "yes",
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"timestamp": "04/12/2022 22:45:20",
"content": "i thought you just meant f(x)",
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"id": 963630985847668700,
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"timestamp": "04/12/2022 22:45:30",
"content": "you even said it",
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"author_id": 200013547491688450,
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"timestamp": "04/12/2022 22:45:32",
"content": "*numerator*",
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"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:45:59",
"content": "sorrry im a lil slow",
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"timestamp": "04/12/2022 22:46:10",
"content": "its good",
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"timestamp": "04/12/2022 22:46:23",
"content": "so im just left with \nx + 11\nso it would be -11 to = 0?",
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"timestamp": "04/12/2022 22:46:38",
"content": "no",
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"id": 963631283932627100,
"author_id": 200013547491688450,
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"timestamp": "04/12/2022 22:46:41",
"content": "?",
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"id": 963631302345654300,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:46:45",
"content": "what did you do there to get that",
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"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:47:34",
"content": "(x+11)(x-3)\n/\nx-3\nthey cancel and your left with x+11",
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"id": 963631631971782700,
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"timestamp": "04/12/2022 22:48:04",
"content": "yes, but remember your limit",
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"timestamp": "04/12/2022 22:48:15",
"content": "you're left with $\\lim_{x\\to a}x+11$",
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"author_name": "TeXit",
"timestamp": "04/12/2022 22:48:17",
"content": "**a disappointing son**",
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"id": 963631691333791700,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:48:18",
"content": "and a is...?",
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"id": 963632266683244500,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:50:35",
"content": "i do not know",
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"id": 963632438951678000,
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"timestamp": "04/12/2022 22:51:16",
"content": "it tells you a",
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"id": 963632443951292400,
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"timestamp": "04/12/2022 22:51:18",
"content": "in your problem",
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"id": 963632503745302500,
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"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:51:32",
"content": "oh 3",
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},
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"id": 963632526860116000,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:51:37",
"content": "right",
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"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:51:42",
"content": "so x is -8",
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"id": 963632568270483500,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:51:47",
"content": "?",
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{
"id": 963632647555416000,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:52:06",
"content": "x is approaching a",
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"id": 963632651368013800,
"author_id": 200013547491688450,
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"timestamp": "04/12/2022 22:52:07",
"content": "which is 3",
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"id": 963633614799663100,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:55:57",
"content": "yes?",
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"id": 963633669183008800,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:56:10",
"content": "but we knew that since the beggining of the problem?",
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"id": 963633703819554800,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:56:18",
"content": "yes, and now is the time to apply it",
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"id": 963633713290293200,
"author_id": 200013547491688450,
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"timestamp": "04/12/2022 22:56:20",
"content": "to this",
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"timestamp": "04/12/2022 22:56:36",
"content": "$\\lim_{x\\to 3}x+11$",
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},
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"id": 963633791627300900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/12/2022 22:56:39",
"content": "**FluffyBunnie204**",
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"id": 963633823260749800,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:56:46",
"content": "thats what we have right?",
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"id": 963633823780835300,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:56:47",
"content": "yes",
"attachments": [],
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},
{
"id": 963633895436329000,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:57:04",
"content": "so its 14????",
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"id": 963633906098274300,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/12/2022 22:57:06",
"content": "yes",
"attachments": [],
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},
{
"id": 963633942894886900,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 22:57:15",
"content": "ohhhhh",
"attachments": [],
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},
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"id": 963636411737710600,
"author_id": 574676935582548030,
"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 23:07:04",
"content": "so for this one im left with \n10x+2\n/\nx+1",
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"author_name": "FluffyBunnie204",
"timestamp": "04/12/2022 23:11:34",
"content": "or did i do that wrong?",
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"timestamp": "04/12/2022 23:25:38",
"content": "@Helpers",
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},
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"id": 963644862194913400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/12/2022 23:40:38",
"content": "@FluffyBunnie204 Has your question been resolved?",
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"timestamp": "04/13/2022 00:07:07",
"content": ".close",
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},
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"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 00:07:08",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
2c3b0755daec4a4ab669a10c89a4e126
|
199,348 |
[
{
"id": 963651781672468500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 00:08:08",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963652149114450000,
"author_id": 762116899936272400,
"author_name": "genesis",
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"content": "",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 00:09:36",
"content": "Pinned a message.",
"attachments": [],
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}
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{
"id": 963652236930609200,
"author_id": 762116899936272400,
"author_name": "genesis",
"timestamp": "04/13/2022 00:09:57",
"content": "how to figure out this question quickly it is supposed to be done within 2 minutes",
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},
{
"id": 963652365498585100,
"author_id": 762116899936272400,
"author_name": "genesis",
"timestamp": "04/13/2022 00:10:27",
"content": "their explanation does not seem reasonable for a 2 minute problem",
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"timestamp": "04/13/2022 00:25:27",
"content": "@genesis Has your question been resolved?",
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"timestamp": "04/13/2022 00:40:28",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
6394adf9c4254243badd75f9f66c314e
|
199,349 |
[
{
"id": 963709482934890500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 03:57:25",
"content": "Available help channel!",
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},
{
"id": 963718899021545500,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:34:50",
"content": "there is 5x5 table, each holes are filled with number 1 or 2 or 3 or 4 or 5 or 6 or 7 or 8 or 9. If you can read 5 digit number that created by the number 1 or 2 or 3 or 4 or 5 or 6 or 7 or 8 or 9 vertically and horizontally then prove that at least one number that read horizonally or vertically is not divisible by 3",
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"timestamp": "04/13/2022 04:34:51",
"content": "Pinned a message.",
"attachments": [],
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"id": 963719467286794200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:37:06",
"content": "is that the _exact_ problem statement?",
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"id": 963719596580409300,
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"timestamp": "04/13/2022 04:37:36",
"content": "yes",
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"author_name": "Ann",
"timestamp": "04/13/2022 04:37:41",
"content": "word for word?",
"attachments": [],
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},
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"id": 963719637076414500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:37:46",
"content": "or did you translate it from another language",
"attachments": [],
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},
{
"id": 963719674099531800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:37:55",
"content": "as written it isn't clear why the table couldn't be filled with nothing but threes, which would go against the thing you're asked to prove",
"attachments": [],
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},
{
"id": 963719688418906100,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:37:58",
"content": "i translated it myself",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963719708748697600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:38:03",
"content": "so you translated it",
"attachments": [],
"mentions": [],
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},
{
"id": 963719720643743700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:38:06",
"content": "can you send the original?",
"attachments": [],
"mentions": [],
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},
{
"id": 963719747797651500,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:38:12",
"content": "its in mongolian",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963719807583277000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:38:27",
"content": "hm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963719879767257100,
"author_id": 503047891271680000,
"author_name": "BlokirKominfo",
"timestamp": "04/13/2022 04:38:44",
"content": "So, basically you fill this rectangle:\n```\n+-+-+-+-+-+\n| | | | | |\n+-+-+-+-+-+\n| | | | | |\n+-+-+-+-+-+\n| | | | | |\n+-+-+-+-+-+\n| | | | | |\n+-+-+-+-+-+\n| | | | | |\n+-+-+-+-+-+\n``` With a number 1-9?",
"attachments": [],
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"id": 963719901669908500,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:38:49",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963719959962333200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:39:03",
"content": "does it say anything like how many times each number must appear in the table",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963720044955717600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:39:23",
"content": "each number appears only once?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963720063586811900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:39:28",
"content": "then there's not enough numbers to fill the table...",
"attachments": [],
"mentions": [],
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},
{
"id": 963720068192149500,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:39:29",
"content": "sorry no",
"attachments": [],
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},
{
"id": 963720078073925600,
"author_id": 503047891271680000,
"author_name": "BlokirKominfo",
"timestamp": "04/13/2022 04:39:31",
"content": "And prove that any such possible filling will make at least one column and row have a sum indivisible by 3?",
"attachments": [],
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},
{
"id": 963720163813916800,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:39:52",
"content": "like in each hole",
"attachments": [],
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},
{
"id": 963720239592378400,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:40:10",
"content": "there will be only one number",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963720258479325200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:40:14",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963720266188464100,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:40:16",
"content": "in whole table",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963720282303004700,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:40:20",
"content": "theres no limit",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963720290637070300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:40:22",
"content": "that much we understood",
"attachments": [],
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},
{
"id": 963720318977970200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:40:29",
"content": "so the table can be filled in any way we like?",
"attachments": [],
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},
{
"id": 963720336594063400,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:40:33",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963720364729446400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:40:40",
"content": "then you're asked to prove a false statement",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963720368948912100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:40:41",
"content": "here:",
"attachments": [],
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},
{
"id": 963720374447640600,
"author_id": 503047891271680000,
"author_name": "BlokirKominfo",
"timestamp": "04/13/2022 04:40:42",
"content": "There are 25 holes, so you need to repeat at least one of the 1 - 9's",
"attachments": [],
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},
{
"id": 963720381905129500,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:40:44",
"content": "like combinatorics lol",
"attachments": [],
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},
{
"id": 963720409524604900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:40:50",
"content": "```\n3 3 3 3 3\n3 3 3 3 3\n3 3 3 3 3\n3 3 3 3 3\n3 3 3 3 3\n```",
"attachments": [],
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},
{
"id": 963720413525983200,
"author_id": 503047891271680000,
"author_name": "BlokirKominfo",
"timestamp": "04/13/2022 04:40:51",
"content": "Unless you fill it with 1-25",
"attachments": [],
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},
{
"id": 963720483080110100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:41:08",
"content": "no matter which row or column you take in this table as i've filled it here, you will get the number 33333, which is divisible by 3.",
"attachments": [],
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},
{
"id": 963720537316659200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:41:21",
"content": "and yet you're asked to prove this can't happen",
"attachments": [],
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},
{
"id": 963720545038401500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:41:22",
"content": "so what gives?",
"attachments": [],
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{
"id": 963720624499490800,
"author_id": 503047891271680000,
"author_name": "BlokirKominfo",
"timestamp": "04/13/2022 04:41:41",
"content": "Probably there are some constraint on the fillings?",
"attachments": [],
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},
{
"id": 963720655361146900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:41:49",
"content": "but soundview just said there wasn't.",
"attachments": [],
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{
"id": 963720692908589000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:41:58",
"content": "",
"attachments": [
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"id": 963720960387727400,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:43:02",
"content": "oh sorry the problem said in 10 numbers, prove that only one number that isnt divisible by 3",
"attachments": [],
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},
{
"id": 963720999566733300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:43:11",
"content": "??",
"attachments": [],
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},
{
"id": 963721036602425300,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:43:20",
"content": "not at least 1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963721048774303900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:43:23",
"content": "but the table i showed _doesn't have any_ numbers that aren't divisible by 3",
"attachments": [],
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},
{
"id": 963721604976750600,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:45:35",
"content": "if a,b,c is odd number, then prove that at least one of the division is divisible of 4:\nab-1, bc-1, ca-1",
"attachments": [],
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},
{
"id": 963721812959703000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:46:25",
"content": ".........",
"attachments": [],
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},
{
"id": 963721864776142800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 04:46:37",
"content": "did you just abandon the previous problem or what",
"attachments": [],
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},
{
"id": 963722282075824100,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:48:17",
"content": "you showed that in the table, theres not any numbers that isnt divisible by 3",
"attachments": [],
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"reference": null
},
{
"id": 963722388292390900,
"author_id": 503047891271680000,
"author_name": "BlokirKominfo",
"timestamp": "04/13/2022 04:48:42",
"content": "So, you changed the question, then",
"attachments": [],
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},
{
"id": 963722638214176800,
"author_id": 503047891271680000,
"author_name": "BlokirKominfo",
"timestamp": "04/13/2022 04:49:42",
"content": "Anyway, do you have a cursory knowledge about modular arithmetic and pigeonhole principle?",
"attachments": [],
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},
{
"id": 963722740479692800,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:50:06",
"content": "i have knowledge of pigeonhole principle",
"attachments": [],
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},
{
"id": 963723048366792700,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:51:19",
"content": "i cant really figure it out unless if its easy pigeonhole principle problem",
"attachments": [],
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},
{
"id": 963723247059353600,
"author_id": 503047891271680000,
"author_name": "BlokirKominfo",
"timestamp": "04/13/2022 04:52:07",
"content": "Hint: classify a b c based on the residue mod 4",
"attachments": [],
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},
{
"id": 963723591931809800,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:53:29",
"content": "i dont really have knowledge of congruence modulo n or fermat's little theorem",
"attachments": [],
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},
{
"id": 963723644201218000,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:53:41",
"content": "i tried learning them by myself",
"attachments": [],
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},
{
"id": 963723927530635400,
"author_id": 503047891271680000,
"author_name": "BlokirKominfo",
"timestamp": "04/13/2022 04:54:49",
"content": "Like, do you even know what is the value of 2 * 3 (mod 5)?",
"attachments": [],
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},
{
"id": 963724092291297300,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:55:28",
"content": "umm",
"attachments": [],
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},
{
"id": 963724309652701200,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:56:20",
"content": "* is multiplication symbol right?",
"attachments": [],
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"reference": null
},
{
"id": 963724335510593500,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "04/13/2022 04:56:26",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963724686888407200,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:57:50",
"content": "1?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963724717875937300,
"author_id": 503047891271680000,
"author_name": "BlokirKominfo",
"timestamp": "04/13/2022 04:57:57",
"content": "Good.",
"attachments": [],
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},
{
"id": 963724870758322200,
"author_id": 503047891271680000,
"author_name": "BlokirKominfo",
"timestamp": "04/13/2022 04:58:34",
"content": "Now, make me a table of the possible values of ab-1 if a and b have to be odd.",
"attachments": [],
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},
{
"id": 963725024638943200,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 04:59:11",
"content": "a=1; b=5",
"attachments": [],
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},
{
"id": 963725329027964900,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 05:00:23",
"content": "a=3; b=7",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963725435265482800,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 05:00:48",
"content": "a=5; b=5",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963725490781311000,
"author_id": 503047891271680000,
"author_name": "BlokirKominfo",
"timestamp": "04/13/2022 05:01:02",
"content": "Uh, we are working at (mod 4) right now",
"attachments": [],
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},
{
"id": 963725626827747300,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 05:01:34",
"content": "mod 4 is remainder right?",
"attachments": [],
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},
{
"id": 963725660608684200,
"author_id": 503047891271680000,
"author_name": "BlokirKominfo",
"timestamp": "04/13/2022 05:01:42",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963726304946036700,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 05:04:16",
"content": "1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963726357735538700,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 05:04:28",
"content": "2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963726575650635800,
"author_id": 503047891271680000,
"author_name": "BlokirKominfo",
"timestamp": "04/13/2022 05:05:20",
"content": "What? I asked something more like:\n```\n+-+-+-+\n| |1|3|\n+-+-+-+\n|1| | |\n+-+-+-+\n|3| | |\n+-+-+-+\n```",
"attachments": [],
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},
{
"id": 963726752281149400,
"author_id": 503047891271680000,
"author_name": "BlokirKominfo",
"timestamp": "04/13/2022 05:06:02",
"content": "If the column means b and the row means a, the cells represents ab-1",
"attachments": [],
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},
{
"id": 963726766030090200,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 05:06:06",
"content": "im sure failing math",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963727064681316400,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 05:07:17",
"content": "-4 -6\n-6 -4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963727724411768800,
"author_id": 740389434872037400,
"author_name": "Soundview",
"timestamp": "04/13/2022 05:09:54",
"content": "i cant figure it out lol 😆",
"attachments": [],
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"reference": null
},
{
"id": 963731500271038500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 05:24:54",
"content": "@Soundview Has your question been resolved?",
"attachments": [],
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"nickname": "Soundview",
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"id": 963735276683931600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 05:39:55",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
36c693d3861e484c94f72d1e52c7f757
|
199,350 |
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"content": "Available help channel!",
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"author_name": "kthn",
"timestamp": "04/13/2022 05:47:48",
"content": "Hi, i just wanted to ask for help/feedback on this question about proving relations for my homework\n\nadmittedly, im not the most revised on this topic and i would consider it probably my worst but i did give it a try based on my knowledge. \n\nim mainly concerned about the specific definitions of each relation as well as being able to prove a general case (as sometimes i feel like i focus too much on a specific case, not fulling proving the question)\n\nif I could possibly get a summary of each relation and maybe some help with how to properly approach/prove them, that would be greatly appreciated.",
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"timestamp": "04/13/2022 06:02:48",
"content": "@kthn Has your question been resolved?",
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"timestamp": "04/13/2022 06:17:48",
"content": "Channel closed",
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] |
help-9
|
928dead75dde409d9e75592651b5bab7
|
199,351 |
[
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"timestamp": "04/13/2022 06:18:49",
"content": "Available help channel!",
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},
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"content": "Pinned a message.",
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"author_name": "Paulie",
"timestamp": "04/13/2022 06:32:03",
"content": "this is often notated as $x \\sim x$ for reflexive. $x \\sim y \\Rightarrow y \\sim x$ for symmetric, and $x \\sim y, y \\sim z \\Rightarrow x \\sim z$ for transitive",
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"author_name": "TeXit",
"timestamp": "04/13/2022 06:32:55",
"content": "**Paulie**",
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help-9
|
23bafcc08e9641ff90fa83543afa89fa
|
199,352 |
[
{
"id": 963749234589446100,
"author_id": 242816329621438460,
"author_name": "Paulie",
"timestamp": "04/13/2022 06:35:23",
"content": "well for starts, an 'equivalence relation' is a relation of which is reflexive, symmetric, and transitive simultaneously. As a general rule, manipulation of relations usually requires them to be equivalence relations. Let's start by going through those. (mind these are not exact definitions, but I hope they help you understand better). \\\n\nReflexive: $(x, x) \\in R$, for all $x \\in X$ where x would be an element and X would be a set. \\\n\nSymmetric: $(x, y) \\in R \\Rightarrow (y, x) \\in R$ for all $x, y \\in X$ \\\n\nTransitive: $(x, y) \\in R$ and $(y, z) \\in R \\Rightarrow (x, z) \\in R$, for all $x, y, z \\in X$",
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"timestamp": "04/13/2022 06:35:27",
"content": "**Paulie**",
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"timestamp": "04/13/2022 06:35:39",
"content": "sorry I'm reposting them",
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"author_name": "kthn",
"timestamp": "04/13/2022 06:35:55",
"content": "all good im just slowly reading thru them",
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"timestamp": "04/13/2022 06:36:22",
"content": "Available help channel!",
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},
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"author_name": "Paulie",
"timestamp": "04/13/2022 06:36:55",
"content": "for a lot of things, equivalence relation proofs are trivial, but when you get to more advanced relations that aren't exactly 'linear' in a sense, then it's important to check all of these",
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"timestamp": "04/13/2022 06:36:55",
"content": "Pinned a message.",
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"timestamp": "04/13/2022 06:37:46",
"content": "i see. thanks for the quick summary above tho that was helpful. do you think the proof i wrote is sufficient enough right now?",
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"timestamp": "04/13/2022 06:37:50",
"content": "the 2nd image",
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"timestamp": "04/13/2022 06:53:43",
"content": "@Paulie Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
1198f11683644bef869b47eb21b59108
|
199,353 |
[
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"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 07:09:44",
"content": "Available help channel!",
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},
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"id": 963759196791275500,
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"author_name": "Jun♾",
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"content": "Pinned a message.",
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"author_name": "Jun♾",
"timestamp": "04/13/2022 07:15:18",
"content": "I did 29x8=232",
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"author_name": "Jun♾",
"timestamp": "04/13/2022 07:15:27",
"content": "But ans says something else",
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"id": 963759698853630000,
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"author_name": "Ann",
"timestamp": "04/13/2022 07:16:57",
"content": "the problem is poorly stated",
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"author_name": "Jun♾",
"timestamp": "04/13/2022 07:17:04",
"content": "Oh",
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"id": 963759819574100000,
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"author_name": "Jun♾",
"timestamp": "04/13/2022 07:17:26",
"content": "Ok that’s why..",
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"id": 963759889665126400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 07:17:43",
"content": "what was likely intended is:",
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"id": 963760028093915100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/13/2022 07:18:16",
"content": "_Find the **smallest** value of n for which it is guaranteed that there are at least 29 people in at least one level._",
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},
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"id": 963760111942242300,
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"author_name": "Ann",
"timestamp": "04/13/2022 07:18:36",
"content": "which would be 28 * 8 + 1, as a consequence of the pigeonhole principle.",
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},
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"id": 963760151729418200,
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"author_name": "Jun♾",
"timestamp": "04/13/2022 07:18:45",
"content": "Ye I see",
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"author_name": "Jun♾",
"timestamp": "04/13/2022 07:19:25",
"content": "Ok thanks",
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},
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"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/13/2022 07:19:55",
"content": ".close",
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"content": "Channel closed",
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}
] |
help-9
|
f12fabac266949328f0c3cd67c7172e0
|
199,354 |
[
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"timestamp": "03/22/2022 22:14:08",
"content": "Available help channel!",
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},
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"id": 956013650370498700,
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"content": "Pinned a message.",
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"author_id": 284850606194294800,
"author_name": "Eyesonjune",
"timestamp": "03/22/2022 22:17:09",
"content": "Did I not distribute a negative correctly?",
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"id": 956013724978786300,
"author_id": 284850606194294800,
"author_name": "Eyesonjune",
"timestamp": "03/22/2022 22:17:13",
"content": "I know the answer to this is -cos(x)",
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"id": 956013762568126600,
"author_id": 284850606194294800,
"author_name": "Eyesonjune",
"timestamp": "03/22/2022 22:17:22",
"content": "But I got cos(x)",
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},
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"id": 956017538339315700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/22/2022 22:32:23",
"content": "@Eyesonjune Has your question been resolved?",
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"author_name": "Eyesonjune",
"timestamp": "03/22/2022 22:34:29",
"content": "@Helpers",
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},
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"id": 956022050630295600,
"author_id": 284850606194294800,
"author_name": "Eyesonjune",
"timestamp": "03/22/2022 22:50:18",
"content": "@Helpers",
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{
"id": 956029601304424400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/22/2022 23:20:19",
"content": "@Eyesonjune Has your question been resolved?",
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"id": 956030349371142300,
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"author_name": "Eyesonjune",
"timestamp": "03/22/2022 23:23:17",
"content": "@Helpers",
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},
{
"id": 956031988924563500,
"author_id": 684674576998858800,
"author_name": "kloser",
"timestamp": "03/22/2022 23:29:48",
"content": "it's supposed to be just 90",
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"id": 956032085099970700,
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"author_name": "kloser",
"timestamp": "03/22/2022 23:30:11",
"content": "sin(x-y) = sin(x)cos(y)-cos(x)sin(y)",
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"id": 956032146462638100,
"author_id": 684674576998858800,
"author_name": "kloser",
"timestamp": "03/22/2022 23:30:25",
"content": "not sin(x)cos(-y)-cos(x)sin(-y)",
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},
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"id": 956032155958534300,
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"timestamp": "03/22/2022 23:30:28",
"content": "@Eyesonjune",
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"id": 956032388494942200,
"author_id": 284850606194294800,
"author_name": "Eyesonjune",
"timestamp": "03/22/2022 23:31:23",
"content": "oh I'm dumb",
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"id": 956032407759360000,
"author_id": 284850606194294800,
"author_name": "Eyesonjune",
"timestamp": "03/22/2022 23:31:28",
"content": "thanks",
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"timestamp": "03/22/2022 23:31:36",
"content": "I thought that the distributive property no longer worked",
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"timestamp": "03/22/2022 23:34:06",
"content": ".close",
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"content": "Channel closed",
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help-9
|
f113a5ab007149d8b52cc5038996fc8d
|
199,355 |
[
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"author_name": "harr-y-",
"timestamp": "04/13/2022 07:37:51",
"content": "Hi, I have a circle of equation x^2+y^2=225. How do I find the mid point of the quarter circle arc, as shown in the diagram? Thanks",
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"timestamp": "04/13/2022 07:42:57",
"content": "You could find the intersections between that circle equation and y = x and accept the solution with both x and y positive since you are looking for solutions in the first quadrant only",
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"id": 963766635049660400,
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"author_name": "harr-y-",
"timestamp": "04/13/2022 07:44:31",
"content": "good solution! should have been able to come up with that myself haha. Thanks for the help",
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"id": 963766659187871700,
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"timestamp": "04/13/2022 07:44:37",
"content": "in what sense",
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"timestamp": "04/13/2022 07:45:01",
"content": "You are welcome ^^",
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"timestamp": "04/13/2022 07:47:00",
"content": "!close",
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] |
help-9
|
09fe3a2215da42bea5a27f472d478d4d
|
199,356 |
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{
"id": 963767551496691700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 07:48:10",
"content": "Available help channel!",
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"content": "@Helpers Hey I need help!",
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{
"id": 963771270334386200,
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"author_name": "Badboy6273",
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"content": "I’m going 22 years old I have a disability and I’m trying to learn some basic math!",
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"content": "My carer has taught me some things about this",
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"content": "Area of the base multiply the height",
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"content": "In this case the base is a circle",
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"content": "Okay",
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"content": "So what do I multiply the height by",
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"content": "The height is 12.3",
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"content": "M",
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"content": "The Area of the base, which is a circle,",
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"content": "So what would the answer be",
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"content": "@Gerald on a rock",
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"content": "The formula for volume of a surface area is pi x r^2 x h",
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"timestamp": "04/13/2022 08:20:36",
"content": "So that’s the answer",
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"content": "Essentially the area of the circle multiplied by the height",
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"timestamp": "04/13/2022 08:21:18",
"content": "That's the formula for the answer",
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"content": "R = radius \nH = height",
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"author_name": "Glitch",
"timestamp": "04/13/2022 08:21:49",
"content": "We know that the Diameter of the circle is 8 - so what would the radius be?",
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"content": "4M",
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"timestamp": "04/13/2022 08:22:03",
"content": "We half the 8",
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"timestamp": "04/13/2022 08:22:16",
"content": "Correct. And the height as you have said is 12.3",
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"timestamp": "04/13/2022 08:22:33",
"content": "So to get the volume of the whole water tank - plug those values into the formula",
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"timestamp": "04/13/2022 08:23:05",
"content": "Ahh so the answer is",
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"timestamp": "04/13/2022 08:23:07",
"content": "(π)(4^2)(12.3)",
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"timestamp": "04/13/2022 08:23:08",
"content": "617.27",
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{
"id": 963776395757097000,
"author_id": 642704900895014900,
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"timestamp": "04/13/2022 08:23:18",
"content": "6.18.27",
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{
"id": 963776396600160300,
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"timestamp": "04/13/2022 08:23:19",
"content": "Yep!",
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"timestamp": "04/13/2022 08:23:27",
"content": "Ah",
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"author_name": "Badboy6273",
"timestamp": "04/13/2022 08:23:28",
"content": "I mean",
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"timestamp": "04/13/2022 08:23:32",
"content": "618.27",
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"id": 963776538124382200,
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"timestamp": "04/13/2022 08:23:52",
"content": "Either would be correct, depends to what decimal place you put PI.",
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"timestamp": "04/13/2022 08:23:59",
"content": "This is the more accurate one",
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"timestamp": "04/13/2022 08:24:18",
"content": "Okay",
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"timestamp": "04/13/2022 08:24:23",
"content": "Can you help with the other one?",
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"author_id": 469212888704352260,
"author_name": "Glitch",
"timestamp": "04/13/2022 08:24:30",
"content": "Sure, send it over",
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"content": "",
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"timestamp": "04/13/2022 08:25:05",
"content": "This one is a similar concept",
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"id": 963776909920063500,
"author_id": 469212888704352260,
"author_name": "Glitch",
"timestamp": "04/13/2022 08:25:21",
"content": "You want the area of the triangle and multiply it by the length of the cheese",
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"timestamp": "04/13/2022 08:25:42",
"content": "Okay",
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"author_name": "Badboy6273",
"timestamp": "04/13/2022 08:26:24",
"content": "Wait so I don’t really understand the triangle much",
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"timestamp": "04/13/2022 08:26:26",
"content": "The cheese",
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"author_name": "Badboy6273",
"timestamp": "04/13/2022 08:26:28",
"content": "So wait",
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"timestamp": "04/13/2022 08:26:43",
"content": "Ahh",
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"author_id": 469212888704352260,
"author_name": "Glitch",
"timestamp": "04/13/2022 08:28:27",
"content": "Area of the triangle = (b*h)/2",
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"timestamp": "04/13/2022 08:28:49",
"content": "So the area is that",
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"timestamp": "04/13/2022 08:32:48",
"content": "The area would be (3.6*4) / 2",
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},
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"id": 963778821578948700,
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"author_name": "Glitch",
"timestamp": "04/13/2022 08:32:57",
"content": "Of the triangle here:",
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"timestamp": "04/13/2022 08:35:41",
"content": "Hm okay",
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"author_id": 642704900895014900,
"author_name": "Badboy6273",
"timestamp": "04/13/2022 08:37:00",
"content": "So what would the volume be that requires packaging be",
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"timestamp": "04/13/2022 08:37:04",
"content": "@Glitch",
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"timestamp": "04/13/2022 08:38:06",
"content": "What does this give you?",
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"author_name": "Badboy6273",
"timestamp": "04/13/2022 08:39:13",
"content": "What is the volume that requires packaging",
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"timestamp": "04/13/2022 08:39:51",
"content": "@Glitch",
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"timestamp": "04/13/2022 08:39:53",
"content": "I'm not going to just tell you the answer",
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"author_id": 469212888704352260,
"author_name": "Glitch",
"timestamp": "04/13/2022 08:40:01",
"content": "I've given you enough to solve the question.",
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"id": 963780727080632300,
"author_id": 469212888704352260,
"author_name": "Glitch",
"timestamp": "04/13/2022 08:40:31",
"content": "Volume of packaging = Area of triangle * length",
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"author_name": "Badboy6273",
"timestamp": "04/13/2022 08:40:59",
"content": "Ohh",
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"author_id": 642704900895014900,
"author_name": "Badboy6273",
"timestamp": "04/13/2022 08:41:02",
"content": "So 4cm",
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"timestamp": "04/13/2022 08:42:08",
"content": "The area of the triangle = base * height divided by 2",
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"id": 963781155495231500,
"author_id": 469212888704352260,
"author_name": "Glitch",
"timestamp": "04/13/2022 08:42:13",
"content": "Base = 4",
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"author_id": 469212888704352260,
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"timestamp": "04/13/2022 08:42:16",
"content": "Height = 3.6",
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"id": 963781196670714000,
"author_id": 469212888704352260,
"author_name": "Glitch",
"timestamp": "04/13/2022 08:42:23",
"content": "What is the area of the triangle?",
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},
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"id": 963781390401409200,
"author_id": 642704900895014900,
"author_name": "Badboy6273",
"timestamp": "04/13/2022 08:43:09",
"content": "Area of the triangle = (b*h)/2",
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},
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"author_name": "Badboy6273",
"timestamp": "04/13/2022 08:43:15",
"content": "You already told me that",
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"id": 963783465629810700,
"author_id": 469212888704352260,
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"timestamp": "04/13/2022 08:51:24",
"content": "Substitute these values into the equation: \n\nBase = 4\nHeight = 3.6",
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"timestamp": "04/13/2022 08:51:33",
"content": "(base * height) / 2",
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},
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"id": 963785190646382700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 08:58:15",
"content": "@Badboy6273 Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 09:28:28",
"content": "@Badboy6273 Has your question been resolved?",
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{
"id": 963795801677643800,
"author_id": 424654701909377000,
"author_name": "Spreeter",
"timestamp": "04/13/2022 09:40:25",
"content": ":JustAsk:",
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},
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"id": 963796194482618400,
"author_id": 424654701909377000,
"author_name": "Spreeter",
"timestamp": "04/13/2022 09:41:59",
"content": "so the triangle has an area of 7.2",
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},
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"id": 963796402117427200,
"author_id": 424654701909377000,
"author_name": "Spreeter",
"timestamp": "04/13/2022 09:42:48",
"content": "and to find the volume u have to use V= basearea* length",
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},
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"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 10:30:11",
"content": "@Badboy6273 Has your question been resolved?",
"attachments": [],
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"timestamp": "04/13/2022 11:30:11",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
37ba90d831aa407e881e0ae71ebaceaa
|
199,357 |
[
{
"id": 963823678301307000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 11:31:11",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 963824932247195600,
"author_id": 536197466261946400,
"author_name": "Prem",
"timestamp": "04/13/2022 11:36:10",
"content": "I put in that answer but it says its wrong and im not sure why it is wrong. I drew the vector and the head was on those points.",
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{
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"timestamp": "04/13/2022 11:36:11",
"content": "Pinned a message.",
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"id": 963825468732227600,
"author_id": 536197466261946400,
"author_name": "Prem",
"timestamp": "04/13/2022 11:38:18",
"content": "oh wait i put it in wrong",
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},
{
"id": 963825476135162000,
"author_id": 536197466261946400,
"author_name": "Prem",
"timestamp": "04/13/2022 11:38:20",
"content": ".close",
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},
{
"id": 963825478010028200,
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"timestamp": "04/13/2022 11:38:20",
"content": "Channel closed",
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}
] |
help-9
|
c1f6946f0a0f41c58bf43ce5b27038e9
|
199,358 |
[
{
"id": 963827460431044600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 11:46:13",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 963827505851162800,
"author_id": 785653871464153100,
"author_name": "Squidy",
"timestamp": "04/13/2022 11:46:24",
"content": "Mr. Avramenko would like to be more dashing, so he purchases a horse, a carriage, and a top hat for $11 557. The horse cost $350 less than the carriage but was more expensive than the top hat by a factor of eight hundred. How much did each item cost?",
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"id": 963827507675693000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 11:46:24",
"content": "Pinned a message.",
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"timestamp": "04/13/2022 12:01:25",
"content": "@Squidy Has your question been resolved?",
"attachments": [],
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{
"id": 963832000836419700,
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"author_name": "Squidy",
"timestamp": "04/13/2022 12:04:16",
"content": "@Helpers",
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},
{
"id": 963838986202280000,
"author_id": 641751987490390000,
"author_name": "んひムひ丂_",
"timestamp": "04/13/2022 12:32:01",
"content": "I need help",
"attachments": [],
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},
{
"id": 963839060005224400,
"author_id": 641751987490390000,
"author_name": "んひムひ丂_",
"timestamp": "04/13/2022 12:32:19",
"content": "My brain has broken on a problem",
"attachments": [],
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"reference": null
},
{
"id": 963839869698850800,
"author_id": 774241903025455100,
"author_name": "py",
"timestamp": "04/13/2022 12:35:32",
"content": "okay so consider the carriage as x",
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"id": 963839893707034600,
"author_id": 774241903025455100,
"author_name": "py",
"timestamp": "04/13/2022 12:35:37",
"content": "and go on with it from there",
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},
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"id": 963842411228958700,
"author_id": 805217272087838700,
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"timestamp": "04/13/2022 12:45:38",
"content": "@Squidy Has your question been resolved?",
"attachments": [],
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"id": 963845812843065500,
"author_id": 785653871464153100,
"author_name": "Squidy",
"timestamp": "04/13/2022 12:59:09",
"content": "what does that mean",
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"id": 963845994678726700,
"author_id": 242816329621438460,
"author_name": "Paulie",
"timestamp": "04/13/2022 12:59:52",
"content": "if you take the word problem and try to make a function out of it, this tip is really useful",
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"author_id": 242816329621438460,
"author_name": "Paulie",
"timestamp": "04/13/2022 13:00:13",
"content": "just imagine the carriage as a variable (say, x) and relate it to the other things in the problem",
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"id": 963849961483685900,
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"timestamp": "04/13/2022 13:15:38",
"content": "Channel closed",
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}
] |
help-9
|
57c7c1c59e5c4a10bd1e4a2fcd0e9093
|
199,359 |
[
{
"id": 963854334897049600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 13:33:00",
"content": "Available help channel!",
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"reference": null
},
{
"id": 963855165222436900,
"author_id": 75832483660173310,
"author_name": "Kelsawr",
"timestamp": "04/13/2022 13:36:18",
"content": "I have a correct answer for a total of 61 cars. Looking at this diagram how does one come up with 61 cars total? I don't understand. D;",
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{
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"timestamp": "04/13/2022 13:36:19",
"content": "Pinned a message.",
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"id": 963856640090726500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 13:42:10",
"content": "~~add up all the values~~",
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},
{
"id": 963856715403640800,
"author_id": 75832483660173310,
"author_name": "Kelsawr",
"timestamp": "04/13/2022 13:42:28",
"content": "When I added it all up, I got 53.",
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},
{
"id": 963856783909220500,
"author_id": 832077822306156500,
"author_name": "pepper",
"timestamp": "04/13/2022 13:42:44",
"content": ",calc 13 + 8 + 5 + 2 + 4 + 7 + 14",
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},
{
"id": 963856785524027400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/13/2022 13:42:45",
"content": "Result:\n```\n53\n```",
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},
{
"id": 963856866843197400,
"author_id": 832077822306156500,
"author_name": "pepper",
"timestamp": "04/13/2022 13:43:04",
"content": "So uhhhhhhh",
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},
{
"id": 963856877890981900,
"author_id": 75832483660173310,
"author_name": "Kelsawr",
"timestamp": "04/13/2022 13:43:07",
"content": "Let me post full problem, I got all the right answers.",
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},
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"id": 963856929959059500,
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"author_name": "Kelsawr",
"timestamp": "04/13/2022 13:43:19",
"content": "",
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"id": 963856959042363400,
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"author_name": "Kelsawr",
"timestamp": "04/13/2022 13:43:26",
"content": "I just dont understand how",
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},
{
"id": 963857061798608900,
"author_id": 832077822306156500,
"author_name": "pepper",
"timestamp": "04/13/2022 13:43:51",
"content": "The answer is clearly wrong",
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},
{
"id": 963857108833558700,
"author_id": 832077822306156500,
"author_name": "pepper",
"timestamp": "04/13/2022 13:44:02",
"content": "Tell whoever is giving you the test",
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},
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"id": 963857138206257300,
"author_id": 75832483660173310,
"author_name": "Kelsawr",
"timestamp": "04/13/2022 13:44:09",
"content": "I appreciate that, thank you.",
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},
{
"id": 963857157923668100,
"author_id": 75832483660173310,
"author_name": "Kelsawr",
"timestamp": "04/13/2022 13:44:14",
"content": "I was like wtf, lol",
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},
{
"id": 963860933699059700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 13:59:14",
"content": "@Kelsawr Has your question been resolved?",
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"id": 963862421921992700,
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"timestamp": "04/13/2022 14:05:09",
"content": "Channel closed",
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}
] |
help-9
|
70e53665701b486baa1c9f6969b87e16
|
199,360 |
[
{
"id": 963875348536258600,
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"timestamp": "04/13/2022 14:56:31",
"content": "Available help channel!",
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},
{
"id": 963877419792629800,
"author_id": 345194587620376600,
"author_name": "Monkavius",
"timestamp": "04/13/2022 15:04:44",
"content": "Hey guys how much will a 54% on a 15 point test of 10 questions affect an 80% grade",
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},
{
"id": 963877422019801100,
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"content": "Pinned a message.",
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{
"id": 963878433534910500,
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"author_name": "Monkavius",
"timestamp": "04/13/2022 15:08:46",
"content": "These are all the grades i have so far",
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},
{
"id": 963881360316047500,
"author_id": 345194587620376600,
"author_name": "Monkavius",
"timestamp": "04/13/2022 15:20:24",
"content": "@Helpers",
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},
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"timestamp": "04/13/2022 15:35:24",
"content": "@Monkavius Has your question been resolved?",
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"timestamp": "04/13/2022 16:06:25",
"content": "@Monkavius Has your question been resolved?",
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"id": 963902057662804000,
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"author_name": "riemann",
"timestamp": "04/13/2022 16:42:38",
"content": ".close",
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},
{
"id": 963902059277602800,
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"timestamp": "04/13/2022 16:42:39",
"content": "Channel closed",
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}
] |
help-9
|
62fa92ea04164bb2b752cffbdba444fb
|
199,361 |
[
{
"id": 963902312454185000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 16:43:39",
"content": "Available help channel!",
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},
{
"id": 963903546670080100,
"author_id": 690261304044552200,
"author_name": "mat.ildeeee",
"timestamp": "04/13/2022 16:48:33",
"content": "hi! i have a question regarding fredholm second type equations",
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},
{
"id": 963903548637184100,
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"content": "Pinned a message.",
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"id": 963903672264302600,
"author_id": 690261304044552200,
"author_name": "mat.ildeeee",
"timestamp": "04/13/2022 16:49:03",
"content": "how do you solve a fredholm second type equation using trapezoidal rule for integral numerical approximation?",
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},
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"id": 963903848689332200,
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"timestamp": "04/13/2022 16:49:45",
"content": "do you have an actual math equation to solve",
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},
{
"id": 963903863251931100,
"author_id": 690261304044552200,
"author_name": "mat.ildeeee",
"timestamp": "04/13/2022 16:49:49",
"content": "yes",
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},
{
"id": 963903967040008200,
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"author_name": "mat.ildeeee",
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"id": 963903977492205600,
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"author_name": "mat.ildeeee",
"timestamp": "04/13/2022 16:50:16",
"content": "this one",
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},
{
"id": 963904077622812700,
"author_id": 690261304044552200,
"author_name": "mat.ildeeee",
"timestamp": "04/13/2022 16:50:40",
"content": "i have to solve it using quadrature rules",
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"timestamp": "04/13/2022 17:05:40",
"content": "@mat.ildeeee Has your question been resolved?",
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"id": 963907878320762900,
"author_id": 690261304044552200,
"author_name": "mat.ildeeee",
"timestamp": "04/13/2022 17:05:46",
"content": "no",
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"author_id": 690261304044552200,
"author_name": "mat.ildeeee",
"timestamp": "04/13/2022 17:07:12",
"content": "@Helpers",
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},
{
"id": 963909181587456000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/13/2022 17:10:57",
"content": "Interesting problem, but i think you're better off asking in #numerical-analysis or #adv-pdes",
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"id": 963909206979805300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/13/2022 17:11:03",
"content": "this paper might be helpful https://core.ac.uk/download/pdf/82786374.pdf",
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"id": 963909349057630200,
"author_id": 690261304044552200,
"author_name": "mat.ildeeee",
"timestamp": "04/13/2022 17:11:37",
"content": "thanks",
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},
{
"id": 963909883923693600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/13/2022 17:13:44",
"content": "and a slightly more up to date paper\nhttp://phys.uri.edu/nigh/NumRec/bookfpdf/f18-1.pdf",
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"author_name": "mat.ildeeee",
"timestamp": "04/13/2022 17:22:40",
"content": "thank you, ill try to see if it helps",
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"author_id": 690261304044552200,
"author_name": "mat.ildeeee",
"timestamp": "04/13/2022 17:29:05",
"content": ".close",
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},
{
"id": 963913748446347300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 17:29:06",
"content": "Channel closed",
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}
] |
help-9
|
f6d1f09d24de4f18ab6676f9a951a4ff
|
199,362 |
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"id": 963947883701370900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 19:44:44",
"content": "Available help channel!",
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{
"id": 963949238985846800,
"author_id": 745120054605250600,
"author_name": "**",
"timestamp": "04/13/2022 19:50:07",
"content": "2(x+5) = 3(x-1) + 4\n2x + 10 = 3x - 3 + 4\n2x + 3x + 10 = 3x + 3x + 1\n5x + 10 -10 = 1 - 10\n5x = -9\n5x/5 = -9/5\nX = -9/5\n\nIs this solution correct? If not, identify the error and show a correct solution.",
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"timestamp": "04/13/2022 19:50:08",
"content": "Pinned a message.",
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"author_id": 242816329621438460,
"author_name": "Paulie",
"timestamp": "04/13/2022 19:54:50",
"content": "I'm a little confused why you pulled out a 3x on both sides, and I think your arithmetic got messed up after that",
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"author_name": "Paulie",
"timestamp": "04/13/2022 19:55:13",
"content": "unless the problem asks for it specifically, you can keep it simple by adding up like-terms",
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"timestamp": "04/13/2022 19:55:47",
"content": "so, using line 2, you could simply do: \\\\\n$2x + 10 = 3x - 3 + 4$ \\\\\n$\\Rightarrow 2x + 10 = 3x +1$ \\\\\n$\\Rightarrow -1x + 10 = 1$ \\\\\n$\\Rightarrow -1x = -9$ \\\\\n$\\Rightarrow x = 9$",
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"id": 963951106461941800,
"author_id": 745120054605250600,
"author_name": "**",
"timestamp": "04/13/2022 19:57:33",
"content": "Hold on just give me a sec",
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},
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"id": 963951189324599300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 19:57:52",
"content": "3x + 3x isn't 0",
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},
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"timestamp": "04/13/2022 19:58:35",
"content": "Wym",
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"id": 963951407612981200,
"author_id": 745120054605250600,
"author_name": "**",
"timestamp": "04/13/2022 19:58:44",
"content": "Did they say that I cant see it",
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},
{
"id": 963951505503821800,
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"author_name": "**",
"timestamp": "04/13/2022 19:59:08",
"content": "yeah it does",
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"id": 963951516144787500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/13/2022 19:59:10",
"content": "**Paulie**",
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"author_id": 242816329621438460,
"author_name": "Paulie",
"timestamp": "04/13/2022 19:59:22",
"content": "can you post the original problem?",
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"timestamp": "04/13/2022 19:59:26",
"content": "it's what you did",
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"id": 963951582100205700,
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"timestamp": "04/13/2022 19:59:26",
"content": "Sure",
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"id": 963951691349233700,
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"timestamp": "04/13/2022 19:59:52",
"content": "I was saying the problem, I didn’t do it",
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"timestamp": "04/13/2022 20:00:14",
"content": "wait, is this work the actually *question*?",
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"id": 963951811142778900,
"author_id": 242816329621438460,
"author_name": "Paulie",
"timestamp": "04/13/2022 20:00:21",
"content": "and you have to verify?",
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"content": "",
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"id": 963951958538985500,
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"timestamp": "04/13/2022 20:00:56",
"content": "Oh I thought u knew",
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},
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"id": 963952004265300000,
"author_id": 242816329621438460,
"author_name": "Paulie",
"timestamp": "04/13/2022 20:01:07",
"content": "Ahh I see now",
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"id": 963952079150399500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 20:01:25",
"content": "look at what's happening from the 3rd to 4th line",
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},
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"id": 963952097299153000,
"author_id": 242816329621438460,
"author_name": "Paulie",
"timestamp": "04/13/2022 20:01:29",
"content": "Then the reason it’s incorrect is because 3x + 3x = 6x",
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{
"id": 963952116232237000,
"author_id": 242816329621438460,
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"timestamp": "04/13/2022 20:01:33",
"content": "Not 0",
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"timestamp": "04/13/2022 20:02:49",
"content": "So isn’t 3x + 3x the mistake",
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"id": 963952480708886500,
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"timestamp": "04/13/2022 20:03:00",
"content": "Cause it wasn’t originally there",
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"id": 963952485565861900,
"author_id": 745120054605250600,
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"timestamp": "04/13/2022 20:03:01",
"content": "Or",
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"id": 963952532739194900,
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"author_name": "ramonov",
"timestamp": "04/13/2022 20:03:13",
"content": "the issue is as I stated",
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"id": 963952571196784600,
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"author_name": "ramonov",
"timestamp": "04/13/2022 20:03:22",
"content": "3x + 3x isn't 0",
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},
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"author_name": "ramonov",
"timestamp": "04/13/2022 20:04:06",
"content": "adding 3x to both sides of the equation is perfectly legal, whether it actually helps you solve is another issue",
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"timestamp": "04/13/2022 20:04:17",
"content": "Okay ty I don’t think I was trying to mean it that way I appreciate it I get it",
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"author_name": "ramonov",
"timestamp": "04/13/2022 20:04:24",
"content": "and there is something better that can be done",
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"id": 963956255133675500,
"author_id": 745120054605250600,
"author_name": "**",
"timestamp": "04/13/2022 20:18:00",
"content": "What was the purpose for the 5th line again",
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"id": 963956464081338400,
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"author_name": "Paulie",
"timestamp": "04/13/2022 20:18:50",
"content": "the 5th line?",
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"id": 963956467298365400,
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"timestamp": "04/13/2022 20:18:51",
"content": "Couldnt it just be 5x = 1 - 10 and not having to add the extra “- 10” before",
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"timestamp": "04/13/2022 20:19:40",
"content": "yeah its a little redundant notationally but it's still correct",
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"timestamp": "04/13/2022 20:20:18",
"content": "Wdym",
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"timestamp": "04/13/2022 20:20:23",
"content": "So should I just keep it",
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"id": 963956879686533100,
"author_id": 745120054605250600,
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"timestamp": "04/13/2022 20:20:29",
"content": "For the correct solution",
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"author_name": "Paulie",
"timestamp": "04/13/2022 20:22:33",
"content": "yeah you can leave it in idk what your teacher wants. If I were you I'd just solve it in a way you're most comfortable",
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"timestamp": "04/13/2022 20:23:10",
"content": "Truee I mean idont think it matters anyway I’ll just take it out",
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"author_name": "ramonov",
"timestamp": "04/13/2022 20:23:14",
"content": "depending on your level, you should clearly show what's happening between each line",
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"timestamp": "04/13/2022 20:23:19",
"content": "I mean, you'd be doing the same thing at the step as the original problem, you probably just wouldn't write it out",
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"timestamp": "04/13/2022 20:23:28",
"content": "Yeah",
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"author_name": "ramonov",
"timestamp": "04/13/2022 20:23:30",
"content": "which seems to be what's intended here",
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"id": 963957802810892400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 20:24:09",
"content": "they want to instill principles of algebraic manipulation",
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"id": 963958131283603500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 20:25:27",
"content": "(steps can be omitted if you're confident in your work and what you did can easily be inferred)",
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"id": 963958506824802300,
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"author_name": "**",
"timestamp": "04/13/2022 20:26:57",
"content": "is there a difference between -9/5 and -9 as in this case on the paper it showcases as a fraction",
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"timestamp": "04/13/2022 20:27:22",
"content": "yes",
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"author_name": "ramonov",
"timestamp": "04/13/2022 20:27:25",
"content": "-9 and -9/5 aren't the same number",
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},
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"id": 963958688085856400,
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"timestamp": "04/13/2022 20:27:40",
"content": "Alr",
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"id": 963958834790006800,
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"author_name": "Paulie",
"timestamp": "04/13/2022 20:28:15",
"content": "-9 is (negative) 9, whereas -9/5 is dividing -9 by 5. -9/5 is equal to -1.8",
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},
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"id": 963959590326763600,
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"author_name": "**",
"timestamp": "04/13/2022 20:31:15",
"content": "how do I solve part b",
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"timestamp": "04/13/2022 20:33:08",
"content": "C = 20,\nthen solve for F",
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"timestamp": "04/13/2022 20:34:30",
"content": "what",
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"id": 963960579846967400,
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"author_name": "**",
"timestamp": "04/13/2022 20:35:11",
"content": "so basically c = 20 x 5/9 x (x - 32) representing the unknown",
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"id": 963960688101982200,
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"author_name": "ramonov",
"timestamp": "04/13/2022 20:35:37",
"content": "ugh...",
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"id": 963960718842019800,
"author_id": 220517274845577200,
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"timestamp": "04/13/2022 20:35:44",
"content": "no",
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"id": 963960767936348200,
"author_id": 220517274845577200,
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"timestamp": "04/13/2022 20:35:56",
"content": "where are all these x coming from",
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"id": 963961162817478700,
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"timestamp": "04/13/2022 20:37:30",
"content": "I meant",
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"id": 963961307172831200,
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"timestamp": "04/13/2022 20:38:05",
"content": "C = 20 = 5/9 (x - 32)",
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"id": 963961358125248500,
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"timestamp": "04/13/2022 20:38:17",
"content": "would that be it",
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"timestamp": "04/13/2022 20:38:59",
"content": "the equation is better but still,\nwhere is 'x' coming from",
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"timestamp": "04/13/2022 20:39:15",
"content": "why not just use the variable F they used",
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"author_name": "ramonov",
"timestamp": "04/13/2022 20:39:30",
"content": "instead of unecessarily introducing a new one",
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"timestamp": "04/13/2022 20:39:42",
"content": "X representing the celsius that’d be",
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"timestamp": "04/13/2022 20:39:47",
"content": "sure we can go w that",
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"author_name": "Llamamamanly",
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"content": "",
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"author_name": "Paulie",
"timestamp": "04/13/2022 20:44:23",
"content": "this is correctly but it might be easier to first multiply 9 on both sides and then divide by 5",
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"author_name": "Paulie",
"timestamp": "04/13/2022 20:44:47",
"content": "this will eliminate a fraction in the denominator, which can be kinda frightening to some intuitively",
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"timestamp": "04/13/2022 20:49:40",
"content": "Wym by both sides",
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"author_id": 745120054605250600,
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"timestamp": "04/13/2022 20:50:06",
"content": "i dont think I understood the way the person above u explained it",
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"author_name": "Paulie",
"timestamp": "04/13/2022 20:52:05",
"content": "$C = \\frac{5}{9}(F - 32)$ \\\\\n$\\Rightarrow 9C = 5(F - 32)$ \\\\\n$\\Rightarrow \\frac{9C}{5} = (F - 32)$ \\\\\n$\\Rightarrow \\frac{9 * 20}{5} + 32 = F$ \\\\\nthen eventually \\\\\n$F = 68$",
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"author_name": "ramonov",
"timestamp": "04/13/2022 20:52:39",
"content": "one of the basic principles of algebraic manipulation is applying the same algebraic operations to both sides of the equation",
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"id": 963965276137853000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/13/2022 20:53:51",
"content": "**Paulie**",
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"timestamp": "04/13/2022 21:05:06",
"content": "@** Has your question been resolved?",
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"timestamp": "04/13/2022 21:05:18",
"content": "Channel closed",
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}
] |
help-9
|
b4de5caea8054f5c9e9c24b011cefc51
|
199,363 |
[
{
"id": 963968411514323000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 21:06:18",
"content": "Available help channel!",
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},
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"id": 963968543169314800,
"author_id": 313345711129362400,
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"timestamp": "04/13/2022 21:06:50",
"content": "Pinned a message.",
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"content": "",
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"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/13/2022 21:07:49",
"content": "How do I go about doing this? This is the work I've tried so far. I clearly didn't do it properly lol",
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"id": 963969627610833000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 21:11:08",
"content": "consider the definition of modulus of a complex number",
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},
{
"id": 963969854308765800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 21:12:02",
"content": "where a and b are real,\n|a + ib| = ?",
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},
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"id": 963969927532929000,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/13/2022 21:12:20",
"content": "sqrt(a^2 + b^2)?",
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},
{
"id": 963969955647344600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 21:12:27",
"content": "yes",
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},
{
"id": 963970322003030100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 21:13:54",
"content": "apply that to your question",
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},
{
"id": 963970431579222100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 21:14:20",
"content": "and equate the Re and Im parts of each side",
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},
{
"id": 963970801391001700,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/13/2022 21:15:48",
"content": "Erm, I'm not supposed to algebra this, am I?",
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"author_name": "ramonov",
"timestamp": "04/13/2022 21:21:25",
"content": "squaring both sides is unnecessary",
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},
{
"id": 963972322228846600,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/13/2022 21:21:51",
"content": "I'm a bit confused with the Re & Im parts of the modulus part",
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},
{
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"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/13/2022 21:22:03",
"content": "Is it x^2 & y^2 respectively or x & y respectively?",
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},
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"id": 963972442525683700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 21:22:20",
"content": "not sure what you mean",
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},
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"author_name": "L'Homme.Bepis",
"timestamp": "04/13/2022 21:22:40",
"content": "",
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"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/13/2022 21:23:18",
"content": "Or is that just for setting up the square root?",
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{
"id": 963972751775912000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 21:23:33",
"content": "that's just for setting up the square root",
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},
{
"id": 963972770012725400,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/13/2022 21:23:38",
"content": "Oh, gotcha",
"attachments": [],
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},
{
"id": 963973020337201300,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/13/2022 21:24:37",
"content": "So I'm not sure what you mean by equating the Re & Im parts. Do I equate both of them to my square root?",
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},
{
"id": 963973191166996500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 21:25:18",
"content": "what's\nRe(sqrt(x^2 + y^2))\nRe(y - ix)\nIm(sqrt(x^2 + y^2))\nIm(y-ix)",
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{
"id": 963973378279096400,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/13/2022 21:26:03",
"content": "Not sure for the 1st & 3rd line, but Re(y - ix) = y & Im(y - ix) = -x",
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},
{
"id": 963973611004256400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 21:26:58",
"content": "if x and y are real numbers,\nwhat type of number will sqrt (x^2 + y^2) be?",
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},
{
"id": 963973664540348500,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/13/2022 21:27:11",
"content": "Real",
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},
{
"id": 963973706902798300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 21:27:21",
"content": "yes",
"attachments": [],
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},
{
"id": 963973767963504600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 21:27:36",
"content": "what's the real part of a real number",
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},
{
"id": 963973797348774000,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/13/2022 21:27:43",
"content": "So then is Im(sqrt(x^2 + y^2)) just 0?",
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},
{
"id": 963973816906821600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 21:27:47",
"content": "yes",
"attachments": [],
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},
{
"id": 963973931583275000,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/13/2022 21:28:15",
"content": "Ah, I see, let me try and work this out real quick",
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},
{
"id": 963974282420031500,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/13/2022 21:29:38",
"content": "How do I go about solving for y here?",
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"id": 963974486422589400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 21:30:27",
"content": "try not to square both sides like tgat",
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},
{
"id": 963974587748585600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 21:30:51",
"content": "info is lost and extraneous solutions may be generated",
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},
{
"id": 963974618954219500,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/13/2022 21:30:58",
"content": "I see",
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},
{
"id": 963974648599556200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 21:31:06",
"content": "sqrt(x^2 + y^2) = y",
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},
{
"id": 963974724172542000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 21:31:24",
"content": "what does that become after determining x=0",
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},
{
"id": 963974757508857900,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/13/2022 21:31:31",
"content": "y = y",
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},
{
"id": 963974768632156200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 21:31:34",
"content": "no",
"attachments": [],
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},
{
"id": 963974855039025200,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/13/2022 21:31:55",
"content": "Er, sqrt(y^2) = y",
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},
{
"id": 963974873393299500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 21:31:59",
"content": "yes",
"attachments": [],
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},
{
"id": 963974890870947800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 21:32:03",
"content": "and when is that true",
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},
{
"id": 963974950195179500,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/13/2022 21:32:17",
"content": "OH",
"attachments": [],
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},
{
"id": 963974963105267700,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/13/2022 21:32:20",
"content": "y >= 0",
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},
{
"id": 963974999570513900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/13/2022 21:32:29",
"content": "yes",
"attachments": [],
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},
{
"id": 963975027240362000,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/13/2022 21:32:36",
"content": "Holy crap, this is some big brain stuff",
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},
{
"id": 963975089488019500,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/13/2022 21:32:51",
"content": "Tysm! You're amazing!",
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},
{
"id": 963975207134044300,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "04/13/2022 21:33:19",
"content": ".close",
"attachments": [],
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},
{
"id": 963975208467828700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 21:33:19",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
81ee7c69572243d28440e99902f96294
|
199,364 |
[
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 21:34:19",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 963976695583490000,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "04/13/2022 21:39:14",
"content": "",
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"timestamp": "04/13/2022 21:39:14",
"content": "Pinned a message.",
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"timestamp": "04/13/2022 21:39:52",
"content": "I’m a little confused on the obtuse triangle part",
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{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/963976856762220544/DA40847D-B37E-4955-89E5-4EA1FA2C308F.jpg",
"fileName": "DA40847D-B37E-4955-89E5-4EA1FA2C308F.jpg",
"fileSizeBytes": 3176116
}
],
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},
{
"id": 963976954992812000,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "04/13/2022 21:40:15",
"content": "Do i subtract the largest or smallest angle with 180?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963978661801906200,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "04/13/2022 21:47:02",
"content": "to see if its obtuse",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963980419173339100,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "04/13/2022 21:54:01",
"content": "@Helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 963984194818703400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 22:09:02",
"content": "@Brotally Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 610937873981636600,
"name": "Brotally",
"discriminator": "5841",
"nickname": "Brotally",
"isBot": false
}
],
"reference": null
},
{
"id": 963992882249875600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 22:43:33",
"content": "@Brotally Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 610937873981636600,
"name": "Brotally",
"discriminator": "5841",
"nickname": "Brotally",
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}
],
"reference": null
},
{
"id": 964000432236138500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/13/2022 23:13:33",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
c207a0c4938845afac1d791844295db1
|
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