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"id": 995849787230404600,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 20:31:31",
"content": "is $n$ in $\\{0,1\\}^n$ just index for sets $\\{0, 1\\}$ or size for sets containing 0s and 1s or what exactly?",
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"id": 995849891169439700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/10/2022 20:31:56",
"content": "**Carpetoid**",
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"id": 995850066482954200,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 20:32:37",
"content": "please help urgently",
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},
{
"id": 995850086628216800,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 20:32:42",
"content": "thank you",
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},
{
"id": 995850381886243000,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 20:33:53",
"content": "or does it mean each domain has two values attached to either 0 or 1",
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"id": 995850385967292400,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 20:33:54",
"content": "?",
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"id": 995851890908737500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/10/2022 20:39:52",
"content": "Available help channel!",
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},
{
"id": 995851934986686600,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 20:40:03",
"content": "what",
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"id": 995851935976542300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/10/2022 20:40:03",
"content": "Pinned a message.",
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"id": 995851944851673200,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 20:40:05",
"content": "is not available",
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},
{
"id": 995851954645389300,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 20:40:08",
"content": "bruh",
"attachments": [],
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},
{
"id": 995852072136220800,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 20:40:36",
"content": "is $n$ in $\\{0,1\\}^n$ just index for sets $\\{0, 1\\}$ or size for sets containing 0s and 1s or what exactly?",
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"author_name": "Carpetoid",
"timestamp": "07/10/2022 20:40:45",
"content": "",
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"id": 995852146102767700,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 20:40:53",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 995852365045444600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/10/2022 20:41:45",
"content": "**Carpetoid**",
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"id": 995855921756524700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/10/2022 20:55:53",
"content": "@Carpetoid Has your question been resolved?",
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"id": 995861652169818100,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/10/2022 21:18:40",
"content": "@Carpetoid it means sequences of length n, each entry is 0 or 1",
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"id": 995861860521873500,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 21:19:29",
"content": "so sequences of size n containing 0 and 1?",
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"id": 995862190022205600,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/10/2022 21:20:48",
"content": "each entry is 0 or 1",
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{
"id": 995862377381765100,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 21:21:32",
"content": "what do you mean by entry?",
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"id": 995863262254080000,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 21:25:03",
"content": "@RokettoJanpu",
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{
"id": 995863688131137700,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/10/2022 21:26:45",
"content": "entry in a sequence",
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},
{
"id": 995864267578417300,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 21:29:03",
"content": "so we can say for example {0, 0, 1,0,1,1} is a valid sequence?",
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},
{
"id": 995864400521084900,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/10/2022 21:29:35",
"content": "() for sequence, {} for set",
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},
{
"id": 995864597728870400,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/10/2022 21:30:22",
"content": "(0,0,1,0,1,1) is one such sequence if n=6",
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},
{
"id": 995864705748975700,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 21:30:48",
"content": "but here the notation doesn't indicate sets?",
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{
"id": 995864994187067400,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/10/2022 21:31:56",
"content": "we use () to denote sequences",
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},
{
"id": 995865175972401200,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 21:32:40",
"content": "yes I understand but doesn't the text indicate sets instead of sequences?",
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},
{
"id": 995865219647688800,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 21:32:50",
"content": ".",
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},
{
"id": 995865270772039800,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/10/2022 21:33:02",
"content": "members of {0,1}^n are sequences",
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},
{
"id": 995865475093373000,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 21:33:51",
"content": "Can you please point me to any text or anything that explains these notations? I would be very freatefut",
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},
{
"id": 995865489257537500,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 21:33:54",
"content": "grateful*",
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},
{
"id": 995865677242048600,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/10/2022 21:34:39",
"content": "> it means sequences of length n, each entry is 0 or 1\nis this still not clear?",
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},
{
"id": 995865780719714300,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 21:35:04",
"content": "No it is thank you very much, but i mean for the future",
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},
{
"id": 995866235415822300,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/10/2022 21:36:52",
"content": "if A is a set then A^n is a cartesian product of n copies of A",
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},
{
"id": 995866440894787600,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/10/2022 21:37:41",
"content": "you can google this if its unfamiliar",
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},
{
"id": 995866479306231800,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 21:37:50",
"content": "Alright thank you I will read about cartesian products more",
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},
{
"id": 995866506942480400,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 21:37:57",
"content": "i very much appreciate this",
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},
{
"id": 995866515373043700,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 21:37:59",
"content": "thank you",
"attachments": [],
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"reference": null
},
{
"id": 995866536294219900,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/10/2022 21:38:04",
"content": "np",
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},
{
"id": 995866691462496300,
"author_id": 339391053658587140,
"author_name": "Carpetoid",
"timestamp": "07/10/2022 21:38:41",
"content": ".close",
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},
{
"id": 995866693073121400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/10/2022 21:38:41",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
fd0348a0f8e24e09b49413b5a577a4be
|
197,066 |
[
{
"id": 995866945754775600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/10/2022 21:39:42",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 995867716575572100,
"author_id": 240483805431857150,
"author_name": "Quatermint",
"timestamp": "07/10/2022 21:42:45",
"content": "I need reask again about this question",
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"id": 995867718853087200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/10/2022 21:42:46",
"content": "Pinned a message.",
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"id": 995867859983012000,
"author_id": 240483805431857150,
"author_name": "Quatermint",
"timestamp": "07/10/2022 21:43:20",
"content": "how do I determined the value of variance, average and mean?",
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},
{
"id": 995871635691286500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/10/2022 21:58:20",
"content": "@Quatermint Has your question been resolved?",
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"id": 995879696845766800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/10/2022 22:30:22",
"content": "@Quatermint Has your question been resolved?",
"attachments": [],
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"discriminator": "9273",
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"id": 995894833627529300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/10/2022 23:30:31",
"content": "@Quatermint Has your question been resolved?",
"attachments": [],
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"id": 995909933642031200,
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"author_name": "Mathematics Bot",
"timestamp": "07/11/2022 00:30:31",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
6d0144fbe4424c0ca3d8cc21556f34b6
|
197,067 |
[
{
"id": 995911077755883600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/11/2022 00:35:04",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 995911888347091000,
"author_id": 429898688119177200,
"author_name": "Jabores",
"timestamp": "07/11/2022 00:38:17",
"content": "",
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"id": 995911890402287700,
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"author_name": "Mathematics Bot",
"timestamp": "07/11/2022 00:38:17",
"content": "Pinned a message.",
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"id": 995911904792940500,
"author_id": 429898688119177200,
"author_name": "Jabores",
"timestamp": "07/11/2022 00:38:21",
"content": "Hey, im just seeing if I'm right, that would just be log10(4.3 million)",
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},
{
"id": 995911961831293000,
"author_id": 429898688119177200,
"author_name": "Jabores",
"timestamp": "07/11/2022 00:38:34",
"content": "The reference intensity is just confusing me",
"attachments": [],
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"reference": null
},
{
"id": 995912007591153800,
"author_id": 429898688119177200,
"author_name": "Jabores",
"timestamp": "07/11/2022 00:38:45",
"content": ".rotate",
"attachments": [],
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"reference": null
},
{
"id": 995912666877010000,
"author_id": 329749386315956200,
"author_name": "Sneaky",
"timestamp": "07/11/2022 00:41:22",
"content": ",rotate",
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},
{
"id": 995912682458853500,
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"author_name": "TeXit",
"timestamp": "07/11/2022 00:41:26",
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"id": 995912760498061400,
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"author_name": "Jabores",
"timestamp": "07/11/2022 00:41:45",
"content": "Thanks",
"attachments": [],
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"reference": null
},
{
"id": 995913509445583000,
"author_id": 429898688119177200,
"author_name": "Jabores",
"timestamp": "07/11/2022 00:44:43",
"content": "Am I being dumb haha",
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},
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"id": 995915082334752800,
"author_id": 429898688119177200,
"author_name": "Jabores",
"timestamp": "07/11/2022 00:50:58",
"content": ".close",
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},
{
"id": 995915084884869100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/11/2022 00:50:59",
"content": "Channel closed",
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}
] |
help-9
|
83e15af71c974d80ac967dea9f932ae7
|
197,068 |
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"timestamp": "07/11/2022 01:07:32",
"content": "Available help channel!",
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},
{
"id": 995919932057468900,
"author_id": 844979182701379600,
"author_name": "에미",
"timestamp": "07/11/2022 01:10:15",
"content": "for #18 do i find x by (3x+6)+(5x-12)=90 or 3x+6=5x-12",
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"content": "Pinned a message.",
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"timestamp": "07/11/2022 01:14:14",
"content": "The first one",
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"content": "ok",
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"timestamp": "07/11/2022 01:16:14",
"content": "also for #19 i got 55 for x so to find ZXY do i do 55 - 11 or 55 - 9",
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"timestamp": "07/11/2022 01:16:40",
"content": "ZXW is congruent to ZXY so i should use that right??",
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"content": "XZW is congruent to ZXY",
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"id": 995922515752919000,
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"timestamp": "07/11/2022 01:20:31",
"content": "ok",
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},
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"author_id": 844979182701379600,
"author_name": "에미",
"timestamp": "07/11/2022 01:20:37",
"content": "wait",
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},
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"id": 995922892615319600,
"author_id": 844979182701379600,
"author_name": "에미",
"timestamp": "07/11/2022 01:22:00",
"content": "nvm i got ut",
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"author_id": 844979182701379600,
"author_name": "에미",
"timestamp": "07/11/2022 01:22:55",
"content": "wait why is it WZX and not ZXW",
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},
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/11/2022 01:28:39",
"content": "Try rotating the rectangle 180° around P",
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"timestamp": "07/11/2022 01:37:56",
"content": "@에미 Has your question been resolved?",
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"timestamp": "07/11/2022 01:40:46",
"content": "why 180 tho",
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"timestamp": "07/11/2022 01:46:09",
"content": "Im trying to show you that XZW maps onto ZXY if you rotate",
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"content": "Channel closed",
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}
] |
help-9
|
43f3dc866fc94d9dbbe3c27833f71a7f
|
197,069 |
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"timestamp": "07/11/2022 01:53:56",
"content": "Available help channel!",
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"id": 995937783623450800,
"author_id": 652747647521914900,
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"content": "@kunalch Has your question been resolved?",
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] |
help-9
|
79da488edc2144a791a9cf0bb35b9551
|
197,070 |
[
{
"id": 958653445185867800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/30/2022 05:06:32",
"content": "Available help channel!",
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},
{
"id": 958654407162081300,
"author_id": 806134035444269000,
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"content": "Pinned a message.",
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"id": 958654450808025100,
"author_id": 806134035444269000,
"author_name": "Dogefather",
"timestamp": "03/30/2022 05:10:32",
"content": "I just need help with this small question",
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{
"id": 958656979650371600,
"author_id": 806134035444269000,
"author_name": "Dogefather",
"timestamp": "03/30/2022 05:20:34",
"content": "@Helpers",
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},
{
"id": 958658155640926200,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/30/2022 05:25:15",
"content": "I accidentally answered you this one",
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},
{
"id": 958658230739931100,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/30/2022 05:25:33",
"content": "You said that’s part b remember?",
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{
"id": 958658375879639000,
"author_id": 806134035444269000,
"author_name": "Dogefather",
"timestamp": "03/30/2022 05:26:07",
"content": "Oh that was the answer",
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},
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"id": 958658392027705300,
"author_id": 806134035444269000,
"author_name": "Dogefather",
"timestamp": "03/30/2022 05:26:11",
"content": "Oooft",
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},
{
"id": 958658453977579500,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "03/30/2022 05:26:26",
"content": "Anyway, Ax=λx then (A^n)x=(λ^n)x",
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"id": 958658461888032900,
"author_id": 826318983413366800,
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"timestamp": "03/30/2022 05:26:28",
"content": "Use this",
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"id": 958658473451733000,
"author_id": 806134035444269000,
"author_name": "Dogefather",
"timestamp": "03/30/2022 05:26:31",
"content": "OK",
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},
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"id": 958658814519939200,
"author_id": 806134035444269000,
"author_name": "Dogefather",
"timestamp": "03/30/2022 05:27:52",
"content": "ty",
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"id": 958658819687342100,
"author_id": 806134035444269000,
"author_name": "Dogefather",
"timestamp": "03/30/2022 05:27:53",
"content": ".close",
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"id": 958658821088247800,
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"timestamp": "03/30/2022 05:27:53",
"content": "Channel closed",
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}
] |
help-9
|
699b24ae0fc348ad935ff4c2442a1c76
|
197,071 |
[
{
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"author_name": "Mathematics Bot",
"timestamp": "07/11/2022 02:52:11",
"content": "Available help channel!",
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},
{
"id": 995947223269511200,
"author_id": 429898688119177200,
"author_name": "Jabores",
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"id": 995947247122513900,
"author_id": 429898688119177200,
"author_name": "Jabores",
"timestamp": "07/11/2022 02:58:47",
"content": "Anyone able to help me to get this to log 10 so I can put it into my calculator",
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},
{
"id": 995947288994267100,
"author_id": 429898688119177200,
"author_name": "Jabores",
"timestamp": "07/11/2022 02:58:57",
"content": "Cause I need a number value",
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},
{
"id": 995947765869838500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/11/2022 03:00:51",
"content": "$\\log_a(b) = \\frac{\\log_{10}(b)}{\\log_{10}(a)}$",
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"id": 995947768810062000,
"author_id": 329749386315956200,
"author_name": "Sneaky",
"timestamp": "07/11/2022 03:00:51",
"content": "Change of base law is that $\\log_b(a)=\\frac{\\log_{c}(a)}{\\log_{c}(b)}$ giving us that $\\log_2(125 \\times 10^7)=\\frac{\\log_{10}(125 \\times 10^7)}{\\log_{10}(2)}$",
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{
"id": 995947778607947800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/11/2022 03:00:54",
"content": "**Ann**",
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"timestamp": "07/11/2022 03:01:09",
"content": "**Sneaky**",
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"timestamp": "07/11/2022 03:01:16",
"content": "Ohhhh okay I forgot about that",
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"timestamp": "07/11/2022 03:01:30",
"content": "Where did the 24000 go ahah",
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"id": 995947977489268900,
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"content": "Ohhh",
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"id": 995947983013155000,
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"author_name": "Jabores",
"timestamp": "07/11/2022 03:01:42",
"content": "Nvm",
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"id": 995947995742871600,
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"author_name": "Jabores",
"timestamp": "07/11/2022 03:01:46",
"content": "Okay thank you",
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"id": 995948225884336100,
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"content": ".close",
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] |
help-9
|
a74b6e44aa774216b7350c9673febff8
|
197,072 |
[
{
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"timestamp": "07/11/2022 03:08:43",
"content": "Available help channel!",
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},
{
"id": 995954455327551600,
"author_id": 129428156565291000,
"author_name": "beyond",
"timestamp": "07/11/2022 03:27:26",
"content": "hi",
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"id": 995954465037373400,
"author_id": 129428156565291000,
"author_name": "beyond",
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"id": 995954512399437800,
"author_id": 129428156565291000,
"author_name": "beyond",
"timestamp": "07/11/2022 03:27:39",
"content": "is this a Hamilton circuit?",
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{
"id": 995954581701935100,
"author_id": 129428156565291000,
"author_name": "beyond",
"timestamp": "07/11/2022 03:27:56",
"content": "since its undirected, couldn't you traverse in the order of f -> e -> d -> a -> c -> b",
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"id": 995954685271871500,
"author_id": 129428156565291000,
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"timestamp": "07/11/2022 03:28:20",
"content": "so that u cover all the vertices without going to the same vertix twice",
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},
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"id": 995954829883080700,
"author_id": 592409615568863200,
"author_name": "Tom_",
"timestamp": "07/11/2022 03:28:55",
"content": "but it needs to be a cycle so you need to end up at beck at the vertex you started with",
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"id": 995954853341835300,
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"timestamp": "07/11/2022 03:29:00",
"content": "ohhhhh",
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"id": 995954926519849000,
"author_id": 129428156565291000,
"author_name": "beyond",
"timestamp": "07/11/2022 03:29:18",
"content": "that makes sense, thank you for the clarification!",
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"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/11/2022 03:29:38",
"content": "you can't have a hamiltonian cycle with a vertex of deg 1 present :p",
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"id": 995955039036256300,
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"author_name": "beyond",
"timestamp": "07/11/2022 03:29:45",
"content": "so its just a hamilton path",
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"id": 995955090445836300,
"author_id": 129428156565291000,
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"timestamp": "07/11/2022 03:29:57",
"content": "right",
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},
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"id": 995955124503593000,
"author_id": 592409615568863200,
"author_name": "Tom_",
"timestamp": "07/11/2022 03:30:05",
"content": "np that makes the answer ||no as once you visit f you cannot leave f without revisiting e||",
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"id": 995955525885886500,
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"author_name": "beyond",
"timestamp": "07/11/2022 03:31:41",
"content": "thank you!",
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},
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"id": 995955535469871100,
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"author_name": "beyond",
"timestamp": "07/11/2022 03:31:43",
"content": ".close",
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},
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] |
help-9
|
8012aff0cce04149afc0a5405b5bfd97
|
197,073 |
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"content": "Channel closed",
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] |
help-9
|
b24356893d384e4ba2e681b974c4b6b0
|
197,074 |
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"timestamp": "07/11/2022 07:20:21",
"content": "Available help channel!",
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"author_name": "Mathematics Bot",
"timestamp": "07/11/2022 07:24:50",
"content": "Pinned a message.",
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"content": "Is it cut off or is the last term 303?",
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] |
help-9
|
ef7707970c4e4da38654f5b148b8a5ab
|
197,075 |
[
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},
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"author_id": 805217272087838700,
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"timestamp": "07/11/2022 07:39:10",
"content": "Pinned a message.",
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] |
help-9
|
0574d93a98be4372bb1d7bda24bf8962
|
197,076 |
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"content": "Available help channel!",
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"id": 996021669770580000,
"author_id": 816599712441827300,
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"content": "Pinned a message.",
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"content": "How do I find the answer to this question????",
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"content": "Dead stuck, sadly....",
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"content": "the shaded area is made of 2 triangles",
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"content": "yes it is",
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"author_id": 183668144404037630,
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"content": "consider that AF=FB",
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"content": "two right triangles",
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"timestamp": "07/11/2022 08:03:30",
"content": "which is a rectangle",
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"timestamp": "07/11/2022 08:04:01",
"content": "Which?",
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"content": "The 2 on square 1? (The first square)",
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"content": "i mean a recatangle is also made of two right triangles",
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"timestamp": "07/11/2022 08:04:31",
"content": "So the area of shaded regions=2×1/2×x×x/2",
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"content": "Huhhh",
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"content": "Where x is side of square",
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"content": "i'm trying to say that the shaded area is equal to half the square",
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"content": "But, hdyk?",
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"content": "They are two identical triangles whose areas are 1/2ab",
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"content": "Oh",
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"timestamp": "07/11/2022 08:07:01",
"content": "Ohh I see",
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"timestamp": "07/11/2022 08:07:11",
"content": "What next?",
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"content": "Wait",
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"content": "Since its half one square",
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"timestamp": "07/11/2022 08:09:15",
"content": "there are 3/4 left",
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"content": "if you were to make it a fraction",
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"timestamp": "07/11/2022 08:09:27",
"content": "and that 1/4 = 50cm^2",
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"timestamp": "07/11/2022 08:09:33",
"content": "As stated",
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"content": "3/4 = 150",
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"timestamp": "07/11/2022 08:09:50",
"content": "but there isnt 150",
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"timestamp": "07/11/2022 08:09:53",
"content": "as an option",
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"content": "125 only",
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"content": "150 is the answer",
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"timestamp": "07/11/2022 08:10:51",
"content": "Is it?",
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"timestamp": "07/11/2022 08:11:00",
"content": "I have observed",
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"timestamp": "07/11/2022 08:11:02",
"content": "yeah it has to be triple",
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"id": 996025834861244400,
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"timestamp": "07/11/2022 08:11:04",
"content": "that this isnt 2 squares",
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"timestamp": "07/11/2022 08:11:09",
"content": "This is a square",
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"timestamp": "07/11/2022 08:11:12",
"content": "And",
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"author_name": "frownyfrog",
"timestamp": "07/11/2022 08:11:13",
"content": "you have two white areas in addition to the 50, and they are both 50",
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"id": 996025882856661100,
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"timestamp": "07/11/2022 08:11:15",
"content": "A strange square",
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"id": 996025893732491300,
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"timestamp": "07/11/2022 08:11:18",
"content": "added together",
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"timestamp": "07/11/2022 08:11:23",
"content": "no no",
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"timestamp": "07/11/2022 08:11:27",
"content": "So if AF",
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"timestamp": "07/11/2022 08:11:31",
"content": "Are the same length as",
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"timestamp": "07/11/2022 08:11:37",
"content": "FG",
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"timestamp": "07/11/2022 08:11:41",
"content": "and FE",
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"timestamp": "07/11/2022 08:11:46",
"content": "It must make that traingle on the top",
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"timestamp": "07/11/2022 08:11:48",
"content": "25",
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"timestamp": "07/11/2022 08:12:01",
"content": "oh, it asks for white only, so 100",
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"timestamp": "07/11/2022 08:12:20",
"content": "how did you know?",
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"timestamp": "07/11/2022 08:12:34",
"content": "because they are 50",
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"timestamp": "07/11/2022 08:12:47",
"content": "because they are equal to the shaded area each",
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"timestamp": "07/11/2022 08:13:47",
"content": "oh",
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"id": 996026523800842200,
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"timestamp": "07/11/2022 08:13:48",
"content": "I see",
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"timestamp": "07/11/2022 08:13:51",
"content": "yea yea I seenow",
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"author_name": "Shah",
"timestamp": "07/11/2022 08:13:54",
"content": "thank you for the help",
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"timestamp": "07/11/2022 08:13:57",
"content": "much appreciated",
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"timestamp": "07/11/2022 08:16:49",
"content": ".close",
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help-9
|
9576d2fc66ae4604a8eef34ad9e651a7
|
197,077 |
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"content": "Available help channel!",
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"timestamp": "07/11/2022 08:48:26",
"content": "@Brightness Has your question been resolved?",
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"author_name": "CJalth",
"timestamp": "07/11/2022 09:01:57",
"content": "cause -2 is the amplitude as the cos function got flipped and vertically dilated by 2 (cause original cosine function has amplitude of 1) and then cause u worked out the period u can work out the horizontal dilation and since the period is 2pi/T which is 762 in this case u get ur answer",
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help-9
|
b9f93184838b43e093a2dd6e6e67f376
|
197,078 |
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"id": 996049539519746200,
"author_id": 484655885067747300,
"author_name": "el Latte",
"timestamp": "07/11/2022 09:45:15",
"content": "is the union of sets A and B, A U B, another set?",
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"author_id": 484655885067747300,
"author_name": "el Latte",
"timestamp": "07/11/2022 09:45:45",
"content": "like is A U B, a set?",
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"timestamp": "07/11/2022 10:00:46",
"content": "@el Latte Has your question been resolved?",
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"id": 996053494161211400,
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"timestamp": "07/11/2022 10:00:58",
"content": "Yes",
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"id": 996053584342962300,
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"author_name": "Maeve",
"timestamp": "07/11/2022 10:01:20",
"content": "The set of all elements in A *or* B",
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"author_name": "el Latte",
"timestamp": "07/11/2022 10:06:09",
"content": "oh",
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"timestamp": "07/11/2022 10:06:11",
"content": "cool thanks",
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"author_name": "el Latte",
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"content": ".close",
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] |
help-9
|
f91948250df84c83bc275f39f6696849
|
197,079 |
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"content": ".reopen",
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"author_name": "el Latte",
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"content": "so it's not an operation?",
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"content": "A U B isn't an operation but a set?",
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"id": 996055669599916200,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "07/11/2022 10:09:37",
"content": "there's not like, a difference?",
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"id": 996055723530264700,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "07/11/2022 10:09:50",
"content": "5 - 2 is a number and an operation",
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"author_name": "Maeve",
"timestamp": "07/11/2022 10:11:33",
"content": "A `U` B is a set, `U` is the operation",
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"timestamp": "07/11/2022 10:12:14",
"content": "ahh i see",
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"timestamp": "07/11/2022 10:13:30",
"content": "i believe the result of that is a number but 5 - 2 itself isn't a number but an operation. But i'll need to reconfirm that",
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help-9
|
38fcf3ff47874367be7dc94ba2205191
|
197,080 |
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"content": "Available help channel!",
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"content": "Pinned a message.",
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help-9
|
df5fe04db6dc4fb5b6782134a112667d
|
197,081 |
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"author_name": "Mathematics Bot",
"timestamp": "03/30/2022 05:28:54",
"content": "Available help channel!",
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"id": 958660156697223200,
"author_id": 313063624543567900,
"author_name": "Akiba",
"timestamp": "03/30/2022 05:33:12",
"content": "Are the points (in green) I made valid?",
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"author_name": "Akiba",
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"content": "I also don't know if there's an easier way to evaluate this integral",
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"content": "Or if this integral is even right",
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help-9
|
237783abfab7475386d3c5662e567360
|
197,082 |
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"content": "Available help channel!",
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"author_id": 499308115813072900,
"author_name": "swifteeee",
"timestamp": "07/11/2022 11:16:41",
"content": "Hello, would someone be willing to check my proof? Thanks 🙂",
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"author_name": "Toby",
"timestamp": "07/11/2022 11:30:44",
"content": "I am not quite convinced that your proof works. In your inductive step, sure you've said that a is a root of f, but it doesn't need to be a root of g. Also, cx^{n+1}/(x-a) might have a remainder (actually, very likely). So the quotient won't be a polynomial.",
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"content": "I think the standard way to prove this is to divide f(x) by (x-a) and then to show the remainder is 0 (induction is not needed)",
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"timestamp": "07/11/2022 11:38:07",
"content": "@swifteeee Has your question been resolved?",
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"timestamp": "07/11/2022 11:43:26",
"content": "Can you further elaborate on \"but it doesn't need to be a root of g\" please?, and also I'm dividing cx^{n+1} by (x-a)",
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"timestamp": "07/11/2022 11:43:47",
"content": "fixed x-a typo",
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"author_name": "Toby",
"timestamp": "07/11/2022 11:45:41",
"content": "take $f(x)=x^4+(x-1)$ as an example. Then in your proof, $g(x)=x-1$ and $a=1$. But $\\frac{x^4}{x-a}$ has a remainder of 1. In particular, $f(a)\\neq0$.",
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"timestamp": "07/11/2022 11:45:44",
"content": "**Toby**",
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"timestamp": "07/11/2022 11:50:21",
"content": "what",
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"timestamp": "07/11/2022 11:50:29",
"content": "youre adding",
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"timestamp": "07/11/2022 11:50:37",
"content": "you need to multiply",
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"author_name": "swifteeee",
"timestamp": "07/11/2022 11:52:52",
"content": "Yeah I see, I can't suppose in my induction step that h(a) = 0 if f(a) = 0",
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"timestamp": "07/11/2022 11:53:08",
"content": "Channel closed",
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help-9
|
845af9ff9783403ab9ba80c0bfa7e6dc
|
197,083 |
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{
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"timestamp": "07/11/2022 11:53:14",
"content": ".reopen",
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"timestamp": "07/11/2022 11:53:15",
"content": "✅",
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"id": 996082960136671200,
"author_id": 499308115813072900,
"author_name": "swifteeee",
"timestamp": "07/11/2022 11:58:04",
"content": "Is there any way in which this proof could be fixed?",
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"author_name": "GarlicBredFries",
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"content": "there is a theorem called the remainder theorem",
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"timestamp": "07/11/2022 11:59:48",
"content": "well that's what im trying to prove",
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"author_name": "GarlicBredFries",
"timestamp": "07/11/2022 12:00:06",
"content": "try a proof by contradiction",
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"id": 996083491898921100,
"author_id": 499308115813072900,
"author_name": "swifteeee",
"timestamp": "07/11/2022 12:00:10",
"content": "or a special case of it",
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"id": 996083683180159000,
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"author_name": "GarlicBredFries",
"timestamp": "07/11/2022 12:00:56",
"content": "i think a proof by contradiction would be a lot easier",
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"timestamp": "07/11/2022 12:04:11",
"content": "sps. f(x) \\neq (x-a)g(x). If f(a) = 0, then x \\neq a, but as x \\in R, there must be some x for which x = a, a contradiction",
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"timestamp": "07/11/2022 12:06:58",
"content": "this does suppose that a is a real number, which is the only thing looked at so far in the textbook",
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"content": "complex numbers are chapter 20",
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"timestamp": "07/11/2022 12:09:36",
"content": "i guess this doesn't mean that g(x) is therefore a polynomial",
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"timestamp": "07/11/2022 12:24:36",
"content": "@swifteeee Has your question been resolved?",
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"author_name": "R00tKiT",
"timestamp": "07/11/2022 12:29:58",
"content": "just apply euclidian division of the polynomial f by the polynomial (X-a)",
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"timestamp": "07/11/2022 12:30:23",
"content": "it's euclidian division that you need here",
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"timestamp": "07/11/2022 12:31:01",
"content": "when you say \"euclidian division\" idon't know what that means",
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"author_name": "R00tKiT",
"timestamp": "07/11/2022 12:32:14",
"content": "for any two polynomials $A$ and $B$ with $B \\ne 0$ there exists unique polynomials $Q, R$ such that $A=BQ+R$ with $deg(R)<deg(B)$",
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"timestamp": "07/11/2022 12:32:17",
"content": "**AimaneSN**",
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"timestamp": "07/11/2022 12:32:34",
"content": "$Q$ : the quotient of the division. $R$ the remainder",
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"content": "**AimaneSN**",
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"timestamp": "07/11/2022 12:34:34",
"content": "apply this theorem with $A=f$ and $B=X-a$",
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"timestamp": "07/11/2022 12:34:37",
"content": "**AimaneSN**",
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"timestamp": "07/11/2022 12:35:00",
"content": "so we know that f(x) = (x-a)q + R",
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"timestamp": "07/11/2022 12:35:06",
"content": "but because f(a) = 0",
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"timestamp": "07/11/2022 12:35:12",
"content": "it follows then that R must be 0",
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"id": 996092382770630800,
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"author_name": "swifteeee",
"timestamp": "07/11/2022 12:35:30",
"content": "proving f(x) = (x-a)q for some polynomial q",
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"author_name": "R00tKiT",
"timestamp": "07/11/2022 12:35:32",
"content": "yup exactly",
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"timestamp": "07/11/2022 12:35:44",
"content": "the issue is that this isn't given in the textbook",
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"timestamp": "07/11/2022 12:36:06",
"content": "and what is given",
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"id": 996092644352593900,
"author_id": 499308115813072900,
"author_name": "swifteeee",
"timestamp": "07/11/2022 12:36:32",
"content": "oh wait",
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"author_id": 499308115813072900,
"author_name": "swifteeee",
"timestamp": "07/11/2022 12:36:34",
"content": "im os dumb",
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"id": 996092710157029600,
"author_id": 499308115813072900,
"author_name": "swifteeee",
"timestamp": "07/11/2022 12:36:48",
"content": "the previous exercise has us prove f(x) = (x-a)g(x) + b",
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"id": 996092724526723200,
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"timestamp": "07/11/2022 12:36:52",
"content": "holy shit im so dumb",
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},
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"id": 996092736719564900,
"author_id": 499308115813072900,
"author_name": "swifteeee",
"timestamp": "07/11/2022 12:36:54",
"content": "this is embarassing",
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},
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"id": 996092739382956000,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "07/11/2022 12:36:55",
"content": "lol",
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"author_id": 499308115813072900,
"author_name": "swifteeee",
"timestamp": "07/11/2022 12:37:05",
"content": "well thanks for that",
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"author_id": 628203740494823400,
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"timestamp": "07/11/2022 12:37:13",
"content": "no problem!",
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"author_id": 499308115813072900,
"author_name": "swifteeee",
"timestamp": "07/11/2022 12:37:18",
"content": ".close",
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"id": 996092844722888700,
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"author_name": "Mathematics Bot",
"timestamp": "07/11/2022 12:37:20",
"content": "Channel closed",
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}
] |
help-9
|
e43b77fe3cc64772803e9b73513779d9
|
197,084 |
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"content": "Available help channel!",
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help-9
|
cc653a5338864a30b44575e147b97478
|
197,085 |
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"author_name": "ohNoiAmHere",
"timestamp": "07/11/2022 13:07:51",
"content": "Hi all, I have a question about dealing with certain types of functions. I was able to show that a function defined for a power series cannot be 0 for $x \\leq 0$ and nonzero for $x>0$. When I first learned about power series I thought they'd be useful to model particle movement etc. But this means that a particle that's at rest until time 0 just can be dealt with. I also found that $$f(x) = e^{-\\frac{1}{x^2}}\\sin \\frac{1}{x}$$ cannot be represented with a power series, is there a way around this?",
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"content": "@ohNoiAmHere Has your question been resolved?",
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help-9
|
a994cb032387421aa0a4924fdf8f7df3
|
197,086 |
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"content": "Pinned a message.",
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"content": "@JustAnotherLoaf Has your question been resolved?",
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help-9
|
5f10f75440d64753968c9ee95aad8b4b
|
197,087 |
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"content": "Available help channel!",
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"id": 996126127452070000,
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"timestamp": "07/11/2022 14:49:41",
"content": "For this would I just put",
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"timestamp": "07/11/2022 14:50:30",
"content": "I'm a bit lost",
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"id": 996126659809906800,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "07/11/2022 14:51:42",
"content": "Ig it's asking for the least degree of the function with the same value",
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"timestamp": "07/11/2022 14:51:49",
"content": "1/sqrt2 - 1/2 / 1/2",
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"id": 996126724372828300,
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"content": "Evaluate it",
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"timestamp": "07/11/2022 14:52:04",
"content": "Find the answer?",
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"id": 996126765300842600,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "07/11/2022 14:52:07",
"content": "Yep",
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"author_id": 285272937467215870,
"author_name": "danielboss201",
"timestamp": "07/11/2022 14:52:17",
"content": "is that on the right path though",
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"id": 996126824545390700,
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"timestamp": "07/11/2022 14:52:22",
"content": "1/sqrt2 - 1/2 / 1/2",
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"id": 996126828391575600,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "07/11/2022 14:52:23",
"content": "Yep",
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"id": 996126839770730500,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "07/11/2022 14:52:25",
"content": "Wait",
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"id": 996126845483364400,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "07/11/2022 14:52:27",
"content": "A sec",
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"id": 996127641352544400,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "07/11/2022 14:55:36",
"content": "It should be (1/√2+1/2)/(1/2)",
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"timestamp": "07/11/2022 14:56:00",
"content": "@danielboss201",
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"timestamp": "07/11/2022 14:56:18",
"content": "Ah I'm adding because sin is - in quad 3 right",
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"timestamp": "07/11/2022 14:56:28",
"content": "Yep",
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"timestamp": "07/11/2022 14:56:46",
"content": "Gotcha",
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"author_id": 285272937467215870,
"author_name": "danielboss201",
"timestamp": "07/11/2022 14:56:56",
"content": "Making it just 1/sqrt 2?",
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"timestamp": "07/11/2022 14:57:06",
"content": "Since 1/2 / 1/2 become 1",
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"timestamp": "07/11/2022 14:57:10",
"content": "Making it 1/sqrt2 over 1",
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"author_name": "Night Wølf",
"timestamp": "07/11/2022 14:58:11",
"content": "Ig the answer should be √2",
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"id": 996128385594040400,
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"author_name": "danielboss201",
"timestamp": "07/11/2022 14:58:34",
"content": "And I just leave it as sqrt2?",
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"timestamp": "07/11/2022 14:58:41",
"content": "Nope",
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"author_name": "Night Wølf",
"timestamp": "07/11/2022 14:59:05",
"content": "Well ig yes",
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"author_name": "Night Wølf",
"timestamp": "07/11/2022 14:59:35",
"content": "That should be the case since it has not mentioned anywhere to write it in the least form of a specific trig function",
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"timestamp": "07/11/2022 15:00:42",
"content": "Alr thank you",
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"author_name": "Night Wølf",
"timestamp": "07/11/2022 15:00:44",
"content": "Oops ok it was my mistake it should be √2+1 rather than √2",
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"content": "Why add 1",
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"id": 996128976303034500,
"author_id": 285272937467215870,
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"timestamp": "07/11/2022 15:00:55",
"content": "?",
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"id": 996128998725791900,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "07/11/2022 15:01:00",
"content": "Because",
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"id": 996129054078013600,
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"author_name": "danielboss201",
"timestamp": "07/11/2022 15:01:13",
"content": "oh",
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"author_id": 285272937467215870,
"author_name": "danielboss201",
"timestamp": "07/11/2022 15:01:16",
"content": "when I cancel the two out",
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},
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"id": 996129093219262600,
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"author_name": "Night Wølf",
"timestamp": "07/11/2022 15:01:23",
"content": "Yep",
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},
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"id": 996129106074816600,
"author_id": 285272937467215870,
"author_name": "danielboss201",
"timestamp": "07/11/2022 15:01:26",
"content": "gotcha",
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},
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"id": 996129123904782300,
"author_id": 701043425029652600,
"author_name": "Night Wølf",
"timestamp": "07/11/2022 15:01:30",
"content": "Hmm",
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},
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"author_id": 285272937467215870,
"author_name": "danielboss201",
"timestamp": "07/11/2022 15:02:05",
"content": "thank you for the help",
"attachments": [],
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},
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"id": 996129279890956400,
"author_id": 285272937467215870,
"author_name": "danielboss201",
"timestamp": "07/11/2022 15:02:07",
"content": ".close",
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},
{
"id": 996129281585455100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/11/2022 15:02:07",
"content": "Channel closed",
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}
] |
help-9
|
136708ede457412c8eba0ae01593e927
|
197,088 |
[
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"timestamp": "07/11/2022 15:03:08",
"content": "Available help channel!",
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},
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"id": 996132696587772000,
"author_id": 383764114435997700,
"author_name": "Spicysausageslayer_69",
"timestamp": "07/11/2022 15:15:42",
"content": "i need help",
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"content": "Pinned a message.",
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"timestamp": "07/11/2022 15:30:42",
"content": "@Spicysausageslayer_69 Has your question been resolved?",
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] |
help-9
|
5674b76a655a48c2ad1790443b8b3749
|
197,089 |
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"timestamp": "07/11/2022 16:00:11",
"content": "Available help channel!",
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},
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"id": 996143989738717200,
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"content": "Pinned a message.",
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"author_id": 608001262830616600,
"author_name": "weneedteoo",
"timestamp": "07/11/2022 16:00:59",
"content": "hi i had another ticket that got closed so can you help me? @Helpers",
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"id": 996144776149729500,
"author_id": 608001262830616600,
"author_name": "weneedteoo",
"timestamp": "07/11/2022 16:03:42",
"content": "anyone?",
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},
{
"id": 996147630281330800,
"author_id": 608001262830616600,
"author_name": "weneedteoo",
"timestamp": "07/11/2022 16:15:02",
"content": "@Helpers can you help me????",
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},
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"id": 996147674543837300,
"author_id": 608001262830616600,
"author_name": "weneedteoo",
"timestamp": "07/11/2022 16:15:13",
"content": "please someone help",
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},
{
"id": 996148456815087700,
"author_id": 608001262830616600,
"author_name": "weneedteoo",
"timestamp": "07/11/2022 16:18:19",
"content": "bro",
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},
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"id": 996148557042159700,
"author_id": 608001262830616600,
"author_name": "weneedteoo",
"timestamp": "07/11/2022 16:18:43",
"content": "why can yall respond to others but not me",
"attachments": [],
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},
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"id": 996152332746231900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/11/2022 16:33:43",
"content": "@weneedteoo Has your question been resolved?",
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"content": "@weneedteoo Has your question been resolved?",
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"timestamp": "07/11/2022 17:34:15",
"content": "Channel closed",
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}
] |
help-9
|
e66ac7fae1b54748b7db23781ca52986
|
197,090 |
[
{
"id": 996167588390379600,
"author_id": 251788903730642940,
"author_name": "hello2248",
"timestamp": "07/11/2022 17:34:20",
"content": "Still here?",
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"id": 996167611337408500,
"author_id": 251788903730642940,
"author_name": "hello2248",
"timestamp": "07/11/2022 17:34:26",
"content": "Open a new ticket and I will help you",
"attachments": [],
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},
{
"id": 996167819253268500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/11/2022 17:35:16",
"content": "Available help channel!",
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},
{
"id": 996168836418121700,
"author_id": 373218904992120800,
"author_name": "Mathmatix",
"timestamp": "07/11/2022 17:39:18",
"content": "$P\\implies Q \\equiv \\neg P \\lor Q \\text{ and } \\neg (P\\implies Q) \\equiv P\\land\\neg Q$",
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},
{
"id": 996168840159436900,
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"content": "Pinned a message.",
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{
"id": 996168846224400400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/11/2022 17:39:20",
"content": "**Mathmatix**",
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"author_id": 373218904992120800,
"author_name": "Mathmatix",
"timestamp": "07/11/2022 17:39:29",
"content": "Statement: If n is odd then 2n is even. (P=>Q, with P=n is odd, Q=2n is even).\n\nProof by Contradiction (I know we can use another method as well):\n\nAssume n is odd and 2n is odd.\n\nSince n is odd and can be rewritten as n=2k-1, which leads to 2n=2(2k-1) which is even. Therefore 2n is even but we assumed it is odd. \nTherefore we get a contradiction and our assumption was wrong.\n\n\nMy question here, why do we say the assumption 2n is odd was wrong (our Q)? And not say the assumption that n is odd was wrong (our P)",
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"id": 996169129419612200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/11/2022 17:40:28",
"content": "we set P as given and we want to prove Q",
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},
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"id": 996169150877667300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/11/2022 17:40:33",
"content": "P is always true",
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"id": 996169181680636000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/11/2022 17:40:40",
"content": "then we assume that Q is false and go from there",
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"id": 996170606754148500,
"author_id": 373218904992120800,
"author_name": "Mathmatix",
"timestamp": "07/11/2022 17:46:20",
"content": "So we always assume it is true?",
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"author_id": 373218904992120800,
"author_name": "Mathmatix",
"timestamp": "07/11/2022 17:46:58",
"content": "Like what would happen if we have a statement like that:\n\nIf 1=0, then a+1 equals a",
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"author_name": "Mathmatix",
"timestamp": "07/11/2022 17:47:10",
"content": "1=0 is obv. wrong in _general_",
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"id": 996170879379705900,
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"author_name": "Denascite",
"timestamp": "07/11/2022 17:47:25",
"content": "well it's a wrong hypothesis. but the implication is correct",
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"id": 996170920022523900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/11/2022 17:47:35",
"content": "if 1=0 were true then so would a+1=a",
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"id": 996171036091494500,
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"timestamp": "07/11/2022 17:48:02",
"content": "Ah I see. I think intuitivly smth was bothering me, regarding proof by contradiction",
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"timestamp": "07/11/2022 17:48:26",
"content": "But that made sense",
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"timestamp": "07/11/2022 18:03:27",
"content": "@Mathmatix Has your question been resolved?",
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"timestamp": "07/11/2022 18:03:31",
"content": "Channel closed",
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}
] |
help-9
|
9b77a63c5f524831bde5165d459e70f1
|
197,091 |
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"timestamp": "07/11/2022 18:17:19",
"content": "Available help channel!",
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},
{
"id": 996178692864753800,
"author_id": 833368426981359600,
"author_name": "Qwerty",
"timestamp": "07/11/2022 18:18:28",
"content": "yo anyne now howe to do 45+29 with step by step",
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},
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"timestamp": "07/11/2022 18:36:55",
"content": "@Qwerty Has your question been resolved?",
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"author_name": "Qwerty",
"timestamp": "07/11/2022 18:37:12",
"content": "how do u do that though",
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},
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"id": 996183429458702500,
"author_id": 833368426981359600,
"author_name": "Qwerty",
"timestamp": "07/11/2022 18:37:17",
"content": "its magic",
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},
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"author_name": "Qwerty",
"timestamp": "07/11/2022 18:37:26",
"content": ".close",
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},
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"content": "Channel closed",
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}
] |
help-9
|
b9dc071c18e04a0d837b0b59568fb8bc
|
197,092 |
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"content": "Pinned a message.",
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"content": "Channel closed",
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] |
help-9
|
dc1ec0fd995640c39ae2d22696610e56
|
197,093 |
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"id": 996183722829287600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/11/2022 18:38:27",
"content": "Available help channel!",
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"id": 996186412321869800,
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"content": "Pinned a message.",
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"timestamp": "07/11/2022 18:49:39",
"content": "where to go from here? trying to show that the left and right are equivalent by factoring the RHS further.",
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"content": ".close",
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] |
help-9
|
a561c9d4dfdc4cd2bffba0eb522bbe35
|
197,094 |
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"content": "Has me stumped",
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"timestamp": "07/11/2022 20:21:00",
"content": "Hi",
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"timestamp": "07/11/2022 20:21:18",
"content": "What does the question ask you to do?",
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"content": "simplify",
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"content": "Yeah",
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"content": "Unless it means to write it as a single fraction, this already looks simplified to me tbh",
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"content": "Expand and simplify",
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"content": "Perhaps its a mistake, there is nothing to expand",
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"timestamp": "07/11/2022 20:25:52",
"content": "Yeah that's what I thought you could do, write it as a single fraction, but that is not expanding",
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"content": "Imo, this answer is no simpler",
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"content": "how did you get to a single fraction?",
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"content": "We need a common denominator of x^2",
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"content": "So we multiply the 3 and -x by x^2/x^2",
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"content": "Then add the fractions",
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"content": "Didn’t make sense to me",
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"timestamp": "07/11/2022 20:28:34",
"content": "So firstly",
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"content": "Are you ok with the fact that",
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"timestamp": "07/11/2022 20:30:01",
"content": ",,2\\left(\\frac{1}{x}\\right)^2=\\frac{2}{x^2}",
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"timestamp": "07/11/2022 20:30:22",
"content": "**Social Capital Gainer**",
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"content": "Since the other two terms are not fractions, we need to give them a denominator of x^2",
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"content": "No",
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"timestamp": "07/11/2022 20:32:06",
"content": "What doesn't make sense here?",
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"timestamp": "07/11/2022 20:32:27",
"content": "Nvm yeah okay",
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"timestamp": "07/11/2022 20:32:32",
"content": "I see this",
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"timestamp": "07/11/2022 20:32:35",
"content": "Understand that",
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"timestamp": "07/11/2022 20:32:39",
"content": "Alright",
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"timestamp": "07/11/2022 20:32:55",
"content": "So now we have to give the other two terms a denominator of x^2",
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"content": "We do this by multiplying by",
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"timestamp": "07/11/2022 20:33:29",
"content": ",,\\frac{x^2}{x^2}",
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"timestamp": "07/11/2022 20:33:39",
"content": "**Social Capital Gainer**",
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"content": "Why",
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"content": "This is because this fraction is equal to 1 and does not change the expression",
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"timestamp": "07/11/2022 20:34:18",
"content": "More explicitly",
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"timestamp": "07/11/2022 20:35:10",
"content": ",,3=3\\times1=3\\times\\frac{x^2}{x^2}=\\frac{3x^2}{x^2}",
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"timestamp": "07/11/2022 20:35:12",
"content": "**Social Capital Gainer**",
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"content": "So 3 is the same as $\\frac{3x^2}{x^2}$",
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"content": "**Social Capital Gainer**",
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"content": "We do the same for -x",
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"timestamp": "07/11/2022 20:37:44",
"content": "3x^2 + 2/x^2 - x",
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"timestamp": "07/11/2022 20:38:23",
"content": "Not quite, you have not included the denominator of x^2 on your 3x^2 term",
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"timestamp": "07/11/2022 20:39:07",
"content": "3x^2/x^2 + 2/x^2 - x",
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"timestamp": "07/11/2022 20:39:16",
"content": "Yes, exactly",
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"timestamp": "07/11/2022 20:39:27",
"content": "And now do the same on the -x term",
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"timestamp": "07/11/2022 20:39:34",
"content": "As well",
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"timestamp": "07/11/2022 20:40:00",
"content": "It’s -x",
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"timestamp": "07/11/2022 20:40:42",
"content": "Just like we gave 3 a denominator of x^2 by multiplying by x^2/x^2, we need to do the same for -x",
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"timestamp": "07/11/2022 20:40:48",
"content": "3x^2/x^2 + 2/x^2 - x^3/x^2",
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"timestamp": "07/11/2022 20:40:56",
"content": "Yes exactly",
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"author_name": "Social Capital Gainer",
"timestamp": "07/11/2022 20:41:23",
"content": "Now since the fractions have a common denominator, we can add them",
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},
{
"id": 996214672799842300,
"author_id": 857874096494084100,
"author_name": "Tangerine",
"timestamp": "07/11/2022 20:41:26",
"content": "X^2+x^2-x^2 = x^2",
"attachments": [],
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},
{
"id": 996214742463033300,
"author_id": 587808537921454200,
"author_name": "Social Capital Gainer",
"timestamp": "07/11/2022 20:41:43",
"content": "I'm not sure what this is",
"attachments": [],
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"reference": null
},
{
"id": 996214792400416900,
"author_id": 857874096494084100,
"author_name": "Tangerine",
"timestamp": "07/11/2022 20:41:55",
"content": "the denominators",
"attachments": [],
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},
{
"id": 996214969651707900,
"author_id": 587808537921454200,
"author_name": "Social Capital Gainer",
"timestamp": "07/11/2022 20:42:37",
"content": "When we add fractions, only the numerators are affects, the denominator stays as the same number",
"attachments": [],
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"reference": null
},
{
"id": 996215119258329200,
"author_id": 587808537921454200,
"author_name": "Social Capital Gainer",
"timestamp": "07/11/2022 20:43:13",
"content": ",,\\frac{a}{b}+\\frac{c}{b}=\\frac{a+c}{b}",
"attachments": [],
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"reference": null
},
{
"id": 996215299353362600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/11/2022 20:43:56",
"content": "**Social Capital Gainer**",
"attachments": [
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},
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"id": 996215334841364500,
"author_id": 857874096494084100,
"author_name": "Tangerine",
"timestamp": "07/11/2022 20:44:04",
"content": "We can’t add them",
"attachments": [],
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"reference": null
},
{
"id": 996215446455988200,
"author_id": 857874096494084100,
"author_name": "Tangerine",
"timestamp": "07/11/2022 20:44:31",
"content": "just be \n(3x^2 + 2 + x^2)/x^2",
"attachments": [],
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"reference": null
},
{
"id": 996215549719752800,
"author_id": 587808537921454200,
"author_name": "Social Capital Gainer",
"timestamp": "07/11/2022 20:44:55",
"content": "With a minus on the x^3, but yes, that's it",
"attachments": [],
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"reference": null
},
{
"id": 996215656909385700,
"author_id": 587808537921454200,
"author_name": "Social Capital Gainer",
"timestamp": "07/11/2022 20:45:21",
"content": "Here",
"attachments": [],
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}
],
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},
{
"id": 996215723628183600,
"author_id": 587808537921454200,
"author_name": "Social Capital Gainer",
"timestamp": "07/11/2022 20:45:37",
"content": "When we add these, there is an x^3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996215737595207700,
"author_id": 857874096494084100,
"author_name": "Tangerine",
"timestamp": "07/11/2022 20:45:40",
"content": "I see",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996215921217646600,
"author_id": 857874096494084100,
"author_name": "Tangerine",
"timestamp": "07/11/2022 20:46:24",
"content": "I’m gonna fail my quiz tmmr, I need more time to study",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996216107251814400,
"author_id": 587808537921454200,
"author_name": "Social Capital Gainer",
"timestamp": "07/11/2022 20:47:08",
"content": "You're not gonna fail, just look at the question carefully, and maybe practice your fractions a little",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996216186939396200,
"author_id": 587808537921454200,
"author_name": "Social Capital Gainer",
"timestamp": "07/11/2022 20:47:27",
"content": "Can I help with anything else at all?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996216334494994600,
"author_id": 857874096494084100,
"author_name": "Tangerine",
"timestamp": "07/11/2022 20:48:02",
"content": "No, I have just have to remember the fundamentals and not panic. I suck at test",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996216366329774200,
"author_id": 857874096494084100,
"author_name": "Tangerine",
"timestamp": "07/11/2022 20:48:10",
"content": "Idk how I got to Uni",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996216389029331100,
"author_id": 857874096494084100,
"author_name": "Tangerine",
"timestamp": "07/11/2022 20:48:15",
"content": "Thanks for the help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996216457149030400,
"author_id": 857874096494084100,
"author_name": "Tangerine",
"timestamp": "07/11/2022 20:48:32",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 996216458839326800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/11/2022 20:48:32",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
b23914f9fdc242e3b3d6cd7a3fe20bb4
|
197,095 |
[
{
"id": 996216542125641900,
"author_id": 587808537921454200,
"author_name": "Social Capital Gainer",
"timestamp": "07/11/2022 20:48:52",
"content": "No worries at all, I'm sure you'll be fine, you obviously know your stuff since you're in uni, good luck!",
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"timestamp": "07/11/2022 20:49:32",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 996217923033104400,
"author_id": 315847860400816100,
"author_name": "Mizalign",
"timestamp": "07/11/2022 20:54:21",
"content": "So this is a paper I came across about certain types of elliptic integrals and this was a page on it. Frankly it doesn't make any god damn sense. Ignoring the abuse of notation especially with differentiation, we start with \nln(x) + ln(y) = ln(c) {ignoring branch issues} knowing only that the derivative of ln is 1/x\nessentially they \"derive it\" to get \ndx/x + dy/y = 0 but how the fuck did they get here\n\nmy question is, is this information still accurate, or would we end up in actuality with the right hand side being c'/c or using the partial-chain rule",
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"timestamp": "07/11/2022 20:54:22",
"content": "Pinned a message.",
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"id": 996218044202356700,
"author_id": 315847860400816100,
"author_name": "Mizalign",
"timestamp": "07/11/2022 20:54:50",
"content": "They arrive at a correct assumption, yes, but is the route just, absolutely abysmal",
"attachments": [],
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"reference": null
},
{
"id": 996218551130136700,
"author_id": 315847860400816100,
"author_name": "Mizalign",
"timestamp": "07/11/2022 20:56:51",
"content": "If we make the assumption that c is a function of x and y, then we have the following",
"attachments": [],
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},
{
"id": 996218912305840100,
"author_id": 315847860400816100,
"author_name": "Mizalign",
"timestamp": "07/11/2022 20:58:17",
"content": "$\\frac{dc}{dt} = \\frac{\\partial c}{\\partial x}\\frac{dx}{dt} + \\frac{\\partial c}{\\partial y}\\frac{dy}{dt}\\\\\n\\text{AKA Not a constant for all x and y, as it naturally varies}$",
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},
{
"id": 996218923676606600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/11/2022 20:58:20",
"content": "**Mizalign**",
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{
"id": 996219032732709000,
"author_id": 315847860400816100,
"author_name": "Mizalign",
"timestamp": "07/11/2022 20:58:46",
"content": "But then the problem devolves into a shitshow",
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"reference": null
},
{
"id": 996219197078126700,
"author_id": 315847860400816100,
"author_name": "Mizalign",
"timestamp": "07/11/2022 20:59:25",
"content": "which seems almost unsolvable and unintuitive because we are trying to reduce an equation of rational functions of derivatives and variables and functions to one lacking derivatives",
"attachments": [],
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"reference": null
},
{
"id": 996219541044596900,
"author_id": 315847860400816100,
"author_name": "Mizalign",
"timestamp": "07/11/2022 21:00:47",
"content": "$\\text{we'd have} \\\n\\frac{dx}{dt}(\\frac{1}{x}-\\frac{1}{c}\\frac{\\partial c}{\\partial x}) + \\frac{dy}{dt}(\\frac{1}{y}-\\frac{1}{c}\\frac{\\partial c}{\\partial y}) = 0$",
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},
{
"id": 996219552771870800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/11/2022 21:00:50",
"content": "**Mizalign**",
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{
"id": 996221736859213800,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/11/2022 21:09:30",
"content": "Can you link the whole paper",
"attachments": [],
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"reference": null
},
{
"id": 996221835224023200,
"author_id": 315847860400816100,
"author_name": "Mizalign",
"timestamp": "07/11/2022 21:09:54",
"content": "https://core.ac.uk/download/pdf/33363033.pdf",
"attachments": [],
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},
{
"id": 996222576630182000,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/11/2022 21:12:51",
"content": "yeah that's bizarre, here's an actual proof for that property",
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"id": 996222768196624400,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/11/2022 21:13:36",
"content": "from here https://math.stackexchange.com/questions/1115483/prove-logxy-log-x-log-y",
"attachments": [],
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},
{
"id": 996222871661723600,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/11/2022 21:14:01",
"content": "their way of doing it doesn't make sense to me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996225611125235800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/11/2022 21:24:54",
"content": "@Mizalign Has your question been resolved?",
"attachments": [],
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"id": 996225736841101300,
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"author_name": "Mizalign",
"timestamp": "07/11/2022 21:25:24",
"content": "I'm trying to do it for tangent via a similar method",
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"id": 996225828964806700,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/11/2022 21:25:46",
"content": "what identity are you proving",
"attachments": [],
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},
{
"id": 996225865203580900,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/11/2022 21:25:55",
"content": "oh the addition one",
"attachments": [],
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},
{
"id": 996225942609477600,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/11/2022 21:26:13",
"content": "ah... that formula looks like a pain",
"attachments": [],
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"reference": null
},
{
"id": 996226264555864200,
"author_id": 315847860400816100,
"author_name": "Mizalign",
"timestamp": "07/11/2022 21:27:30",
"content": "... trying to generalize it to all exponential-elliptic functions",
"attachments": [],
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},
{
"id": 996226392712826900,
"author_id": 315847860400816100,
"author_name": "Mizalign",
"timestamp": "07/11/2022 21:28:01",
"content": "wondered if I could take a differential-calculaic route",
"attachments": [],
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"reference": null
},
{
"id": 996226461222580200,
"author_id": 315847860400816100,
"author_name": "Mizalign",
"timestamp": "07/11/2022 21:28:17",
"content": "that doesn't involve abelian varieties",
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"reference": null
},
{
"id": 996227013847290000,
"author_id": 315847860400816100,
"author_name": "Mizalign",
"timestamp": "07/11/2022 21:30:29",
"content": "https://math.osu.edu/sites/math.osu.edu/files/glasscock_ellipticintegral_2016.pdf",
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},
{
"id": 996227153152725100,
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"author_name": "Mizalign",
"timestamp": "07/11/2022 21:31:02",
"content": "",
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"id": 996227187827024000,
"author_id": 315847860400816100,
"author_name": "Mizalign",
"timestamp": "07/11/2022 21:31:10",
"content": "here's another example of what seems like bullshit",
"attachments": [],
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"reference": null
},
{
"id": 996234738366943200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/11/2022 22:01:10",
"content": "@Mizalign Has your question been resolved?",
"attachments": [],
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{
"id": 996242288948809700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/11/2022 22:31:10",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
c5be4189c8ff4936b5db5eee99032b17
|
197,096 |
[
{
"id": 996242543429832700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/11/2022 22:32:11",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996243419703803900,
"author_id": 781570288881631200,
"author_name": "wumpus",
"timestamp": "07/11/2022 22:35:40",
"content": "",
"attachments": [
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"timestamp": "07/11/2022 22:35:41",
"content": "Pinned a message.",
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{
"id": 996243451546980500,
"author_id": 781570288881631200,
"author_name": "wumpus",
"timestamp": "07/11/2022 22:35:48",
"content": "How would one go about solving this",
"attachments": [],
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"reference": null
},
{
"id": 996243919920713700,
"author_id": 209300311091838980,
"author_name": "Peacemaker II",
"timestamp": "07/11/2022 22:37:39",
"content": "free body diagram",
"attachments": [],
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"author_id": 209300311091838980,
"author_name": "Peacemaker II",
"timestamp": "07/11/2022 22:37:55",
"content": "and think about the forces involved",
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},
{
"id": 996247227813077000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/11/2022 22:50:48",
"content": "@wumpus Has your question been resolved?",
"attachments": [],
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"timestamp": "07/11/2022 22:51:52",
"content": "Channel closed",
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}
] |
help-9
|
333312ecfd4f47b8a84d434659f3c991
|
197,097 |
[
{
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"timestamp": "07/11/2022 22:52:53",
"content": "Available help channel!",
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},
{
"id": 996253417469128800,
"author_id": 313345711129362400,
"author_name": "L'Homme.Bepis",
"timestamp": "07/11/2022 23:15:24",
"content": "I am to evaluate this using the Residue Theorem",
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"content": "Pinned a message.",
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"timestamp": "07/11/2022 23:16:08",
"content": "I've seen examples on how cos(x) can be turned into e^(iz), since we really only care about the real part. They're also able to expand the integral to go from -infinity to infinity since cos(x) is an even function",
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"timestamp": "07/11/2022 23:16:37",
"content": "But I'm stuck now on what the 1st step even is, since I now have to deal with sin(x)",
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"timestamp": "07/11/2022 23:24:59",
"content": "sin(x) = Re(-ie^(ix))",
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"timestamp": "07/11/2022 23:25:14",
"content": "or Im(e^(ix))",
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"timestamp": "07/11/2022 23:31:37",
"content": "@L'Homme.Bepis Has your question been resolved?",
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"timestamp": "07/11/2022 23:33:21",
"content": "In this case, would I not change the bounds of my integral?",
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"timestamp": "07/11/2022 23:37:56",
"content": "you can integrate over the whole real line and divide by 2 later i think",
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"id": 996259121521242100,
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"timestamp": "07/11/2022 23:38:04",
"content": "may be easier to do it with residue thm this way",
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"timestamp": "07/11/2022 23:53:12",
"content": "The examples I saw are pretty confusing. Am I supposed to close this on a semicircle?",
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"content": "@L'Homme.Bepis Has your question been resolved?",
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"timestamp": "07/12/2022 00:51:07",
"content": ".close",
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}
] |
help-9
|
c720156e13954bae94696dd67876dacd
|
197,098 |
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"timestamp": "07/12/2022 03:09:55",
"content": "Available help channel!",
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"timestamp": "07/12/2022 03:44:45",
"content": "is something here giving you trouble?",
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"content": "@xInfinityy Has your question been resolved?",
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] |
help-9
|
80f7e54a669f466a9416dc572b29b5c2
|
197,099 |
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"content": "Available help channel!",
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"id": 996329950179229800,
"author_id": 252911447653351420,
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"content": "im kinda confused here",
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"author_name": "ilav",
"timestamp": "07/12/2022 04:20:05",
"content": "```|1-n|``` is negative",
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"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "07/12/2022 04:20:33",
"content": "|1-n| cannot be negative, do you mean 1-n is negative?",
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"id": 996330264525553700,
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"timestamp": "07/12/2022 04:20:45",
"content": "yes thats what I meant",
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"author_name": "ilav",
"timestamp": "07/12/2022 04:20:53",
"content": "how can then I get to \n\n100n-100 ?",
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"id": 996330383983525900,
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"author_name": "Bungo",
"timestamp": "07/12/2022 04:21:14",
"content": "$100|1-n| = 100(-(1-n)) = 100(n-1) = 100n - 100$",
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"id": 996330393840144400,
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"author_name": "TeXit",
"timestamp": "07/12/2022 04:21:16",
"content": "**OurBelovedBungo**",
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"author_name": "Bungo",
"timestamp": "07/12/2022 04:21:37",
"content": "where in the first equality I used the property that |x| = -x if x is negative",
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"id": 996330751102550000,
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"author_name": "ilav",
"timestamp": "07/12/2022 04:22:41",
"content": "ahh so if x < 0 : then |x| = -x",
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"timestamp": "07/12/2022 04:22:45",
"content": "i didnt know that",
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"id": 996330771851784300,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "07/12/2022 04:22:46",
"content": "yep",
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"id": 996330826801348600,
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"author_name": "Bungo",
"timestamp": "07/12/2022 04:23:00",
"content": "e.g. |-5| = 5, which is -(-5)",
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"timestamp": "07/12/2022 04:23:48",
"content": "thx",
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"timestamp": "07/12/2022 04:23:50",
"content": "didnt know that tbh",
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"timestamp": "07/12/2022 04:24:03",
"content": "but makes sense",
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"id": 996331174920200200,
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"author_name": "ilav",
"timestamp": "07/12/2022 04:24:23",
"content": "since || makes negative to positive",
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"content": "",
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"timestamp": "07/12/2022 04:28:03",
"content": "and here",
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"timestamp": "07/12/2022 04:28:24",
"content": "how did he came up with n >= 100 so fast",
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"timestamp": "07/12/2022 04:41:41",
"content": "shouldnt it be for n >= 98 ??",
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"author_name": "aPlatypus",
"timestamp": "07/12/2022 04:46:41",
"content": "are you doing complexity stuff ?",
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"author_name": "aPlatypus",
"timestamp": "07/12/2022 04:46:55",
"content": "(like big O notation and all)",
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"timestamp": "07/12/2022 04:47:10",
"content": "no",
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"timestamp": "07/12/2022 04:47:26",
"content": "im doing espilion definition for convergence",
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"id": 996336987554451500,
"author_id": 177516015033384960,
"author_name": "aPlatypus",
"timestamp": "07/12/2022 04:47:28",
"content": "what's the context of the question then ?",
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"id": 996337103766032400,
"author_id": 177516015033384960,
"author_name": "aPlatypus",
"timestamp": "07/12/2022 04:47:56",
"content": "and also what are you trying to show ?",
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"id": 996337270758051800,
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"timestamp": "07/12/2022 04:48:36",
"content": "```Furthermore, determine for ε :=1/100 an n0 ∈ N, so that |an − a| < ε applies to all n > n0.\n```",
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"content": "",
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"timestamp": "07/12/2022 04:48:59",
"content": "well first I found out the limit which is 1",
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"timestamp": "07/12/2022 04:49:29",
"content": "then I did\n\n| an - a | < 1 / 100\nwhere a = 1 (limit)",
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"timestamp": "07/12/2022 04:49:53",
"content": "yeah ok",
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"id": 996337606939914200,
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"timestamp": "07/12/2022 04:49:56",
"content": "and goal is finding n_0",
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"id": 996337702851059800,
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"timestamp": "07/12/2022 04:50:19",
"content": "and my solution is 98",
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"timestamp": "07/12/2022 04:50:23",
"content": "and form prof is 100",
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"timestamp": "07/12/2022 04:50:43",
"content": "I mean the question isn't asking you to find the __lowest__ *n0* such that |an-a| < eps for all n > *n0*",
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"timestamp": "07/12/2022 04:51:07",
"content": "you just need to find some *n0* which fits the criterion",
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"timestamp": "07/12/2022 04:52:08",
"content": "maybe 98 is the lowest n0 possible here",
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"timestamp": "07/12/2022 04:52:13",
"content": "but then 100 is a perfectly valid answer",
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"timestamp": "07/12/2022 04:53:14",
"content": "I see ok",
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"timestamp": "07/12/2022 04:55:51",
"content": ".close",
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"content": "Channel closed",
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}
] |
help-9
|
b32c830411d94071818ca81c7982cbbc
|
197,100 |
[
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"content": "Available help channel!",
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{
"id": 996363938746880000,
"author_id": 917499610606501900,
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"timestamp": "07/12/2022 06:34:50",
"content": "How do they obtain r(x, h) = o(h)?",
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"author_name": "Salad",
"timestamp": "07/12/2022 06:35:10",
"content": "What would be the advantages to using such notation?",
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"timestamp": "07/12/2022 06:38:38",
"content": "I guess because since r is a function of x and h and h reaches zero",
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"timestamp": "07/12/2022 06:39:25",
"content": "lol sorry",
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"id": 996365168185458700,
"author_id": 917499610606501900,
"author_name": "Salad",
"timestamp": "07/12/2022 06:39:27",
"content": "Yeah, I'm just wondering how they come up with that in the first place",
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"author_name": "Salad",
"timestamp": "07/12/2022 06:39:31",
"content": "haha no it's good",
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"timestamp": "07/12/2022 06:39:32",
"content": "yeah",
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"id": 996365271419846700,
"author_id": 418093475595157500,
"author_name": "Goose",
"timestamp": "07/12/2022 06:39:52",
"content": "like isnt line 1.1.3 the approximation of an output with the derivative?",
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"id": 996365599942910000,
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"author_name": "Salad",
"timestamp": "07/12/2022 06:41:10",
"content": "It could be, I don't know though",
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"timestamp": "07/12/2022 06:41:18",
"content": "Haven't done calc in quite a long time",
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"timestamp": "07/12/2022 06:56:18",
"content": "@Salad Has your question been resolved?",
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"timestamp": "07/12/2022 06:58:36",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
d3ed3bfc0ca64ff3b31be7989fcd932b
|
197,101 |
[
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"id": 996370238344016000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/12/2022 06:59:36",
"content": "Available help channel!",
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},
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"id": 996377445844398200,
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"content": "Pinned a message.",
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"id": 996377460860002300,
"author_id": 801338293241118700,
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"timestamp": "07/12/2022 07:28:18",
"content": "is this right?",
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{
"id": 996377486298468500,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/12/2022 07:28:24",
"content": "i need someone to clarify",
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},
{
"id": 996381262140948500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/12/2022 07:43:24",
"content": "@Atomic Has your question been resolved?",
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"timestamp": "07/12/2022 07:46:33",
"content": "yes",
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},
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"id": 996382072975413200,
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"timestamp": "07/12/2022 07:46:38",
"content": "its correct @Mathematics Bot",
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"id": 996382079732428800,
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"timestamp": "07/12/2022 07:46:39",
"content": "ok thanks",
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},
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"id": 996382101869973600,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/12/2022 07:46:44",
"content": ".close",
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},
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"timestamp": "07/12/2022 07:46:45",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
ea689f6453ff47c787ab9196fcdf64b2
|
197,102 |
[
{
"id": 996424856553926700,
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"author_name": "Mathematics Bot",
"timestamp": "07/12/2022 10:36:38",
"content": "Available help channel!",
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},
{
"id": 996427183461503100,
"author_id": 792728719482945500,
"author_name": "JujuN18",
"timestamp": "07/12/2022 10:45:53",
"content": "I need help with this please",
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"content": "Pinned a message.",
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"timestamp": "07/12/2022 10:45:58",
"content": "@Helpers",
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},
{
"id": 996427306526593000,
"author_id": 362166897770233860,
"author_name": "Certified Thot Slayer",
"timestamp": "07/12/2022 10:46:22",
"content": "-1?",
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},
{
"id": 996427376512733300,
"author_id": 919270710168399900,
"author_name": "Fonty",
"timestamp": "07/12/2022 10:46:39",
"content": "Is this a joke?",
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},
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"id": 996427532108841000,
"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "07/12/2022 10:47:16",
"content": ":nootlikethis: ^0 = 1",
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},
{
"id": 996427538677125100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/12/2022 10:47:17",
"content": "lmfao",
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},
{
"id": 996427554586112000,
"author_id": 533543009774731260,
"author_name": "2 3 5 7",
"timestamp": "07/12/2022 10:47:21",
"content": "Depends on where yhe negative is",
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},
{
"id": 996427616456294400,
"author_id": 533543009774731260,
"author_name": "2 3 5 7",
"timestamp": "07/12/2022 10:47:36",
"content": "Is it inside the power or outside",
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},
{
"id": 996427885067903100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/12/2022 10:48:40",
"content": "$-\\smiley ^ 0 = \\frownie$",
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},
{
"id": 996427897403355300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/12/2022 10:48:43",
"content": "**ℝamonov**",
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"timestamp": "07/12/2022 10:49:36",
"content": "Wot sorry I sent the wrong one",
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},
{
"id": 996428141868355700,
"author_id": 792728719482945500,
"author_name": "JujuN18",
"timestamp": "07/12/2022 10:49:41",
"content": "I already got the answers",
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},
{
"id": 996428152484151400,
"author_id": 792728719482945500,
"author_name": "JujuN18",
"timestamp": "07/12/2022 10:49:44",
"content": "Lmaoo",
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},
{
"id": 996428243861250000,
"author_id": 792728719482945500,
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"timestamp": "07/12/2022 10:50:06",
"content": "It’s this",
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},
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"id": 996428244226146300,
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"content": "",
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{
"id": 996428542625714200,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "07/12/2022 10:51:17",
"content": "What’s alpha value of parabola equation",
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},
{
"id": 996428593229992100,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "07/12/2022 10:51:29",
"content": "Root?",
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},
{
"id": 996428780090433700,
"author_id": 573905759134548000,
"author_name": "Nonna",
"timestamp": "07/12/2022 10:52:13",
"content": "Does that refer to ax² + bx + c?",
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"id": 996428810104864800,
"author_id": 792728719482945500,
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"timestamp": "07/12/2022 10:52:21",
"content": "Yes",
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},
{
"id": 996428969597476900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/12/2022 10:52:59",
"content": "consider examples/counter examples for each case",
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},
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"id": 996428987469398100,
"author_id": 573905759134548000,
"author_name": "Nonna",
"timestamp": "07/12/2022 10:53:03",
"content": "try drawing all the answers and check if there are always two intercepts in all cases",
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"id": 996429831254323200,
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"content": "",
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"author_name": "Kohlemaennchen",
"timestamp": "07/12/2022 10:56:40",
"content": "Proved it",
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"timestamp": "07/12/2022 10:57:41",
"content": "Wut? Lol",
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"timestamp": "07/12/2022 11:03:30",
"content": "I’m I gonna have to use the quadratic formula or distance formula",
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"author_name": "Kohlemaennchen",
"timestamp": "07/12/2022 11:10:22",
"content": "a) Plug in 0\nb) Find the vertex",
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"author_name": "Mathematics Bot",
"timestamp": "07/12/2022 11:18:30",
"content": "@JujuN18 Has your question been resolved?",
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"timestamp": "07/12/2022 11:19:46",
"content": "Channel closed",
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}
] |
help-9
|
5433c76b56914b289926e441a1fe19c9
|
197,103 |
[
{
"id": 955248312498405400,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "03/20/2022 19:35:45",
"content": "@dq cut it out",
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"id": 955248326603866200,
"author_id": 426266736015441900,
"author_name": "dq",
"timestamp": "03/20/2022 19:35:48",
"content": "sorry",
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},
{
"id": 955248359319425000,
"author_id": 426266736015441900,
"author_name": "dq",
"timestamp": "03/20/2022 19:35:56",
"content": "4x + 3 = 0",
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},
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"id": 955248380651647100,
"author_id": 426266736015441900,
"author_name": "dq",
"timestamp": "03/20/2022 19:36:01",
"content": "can anyone help me solve this plz",
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},
{
"id": 955248461752713300,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "03/20/2022 19:36:20",
"content": "u just did with all the above helpers",
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},
{
"id": 955248497823719400,
"author_id": 426266736015441900,
"author_name": "dq",
"timestamp": "03/20/2022 19:36:29",
"content": "It's different this time",
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},
{
"id": 955248507495792600,
"author_id": 426266736015441900,
"author_name": "dq",
"timestamp": "03/20/2022 19:36:31",
"content": "it wants y",
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},
{
"id": 955248511690080400,
"author_id": 426266736015441900,
"author_name": "dq",
"timestamp": "03/20/2022 19:36:32",
"content": "not x",
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},
{
"id": 955248536964968400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/20/2022 19:36:38",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 955248560247541800,
"author_id": 426266736015441900,
"author_name": "dq",
"timestamp": "03/20/2022 19:36:44",
"content": "Help",
"attachments": [],
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"reference": null
},
{
"id": 955248561895903200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/20/2022 19:36:44",
"content": "Pinned a message.",
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"id": 955248594896715900,
"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/20/2022 19:36:52",
"content": "Rok just give them the boot",
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},
{
"id": 955248613825601500,
"author_id": 426266736015441900,
"author_name": "dq",
"timestamp": "03/20/2022 19:36:57",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 955248615327166500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/20/2022 19:36:57",
"content": "Channel closed",
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}
] |
help-9
|
4c06b51db49c432dbcf28037d7255937
|
197,104 |
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"timestamp": "03/21/2022 16:35:14",
"content": "Available help channel!",
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},
{
"id": 955568129113727000,
"author_id": 691016922120192000,
"author_name": "silenceandtears",
"timestamp": "03/21/2022 16:46:35",
"content": "The sum of the fifth and eighth terms of an arithmetic series is 17. State the sum of the first twelve terms of\nthe series. How do I do this? I checked the answer key and it replaces t1 + t12 with t5+t8. Why can you do that?",
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"timestamp": "03/21/2022 16:46:36",
"content": "Pinned a message.",
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"content": "@silenceandtears Has your question been resolved?",
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"timestamp": "03/21/2022 17:02:15",
"content": "@Helpers",
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"id": 955572544096829400,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "03/21/2022 17:04:08",
"content": "in an arithmetic sequence you add a constant term to get the next term right??",
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"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "03/21/2022 17:04:38",
"content": "Yeah",
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"author_name": "Zybikron",
"timestamp": "03/21/2022 17:04:47",
"content": "so $t_{n+1} = t_1 + cn$",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/21/2022 17:07:02",
"content": "**Zybikron**",
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"author_name": "Zybikron",
"timestamp": "03/21/2022 17:07:16",
"content": "So, $t_1$ is whatever the first value is. and $t_{12} = t_1+11c$",
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"timestamp": "03/21/2022 17:07:19",
"content": "**Zybikron**",
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"timestamp": "03/21/2022 17:08:26",
"content": "right?",
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"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "03/21/2022 17:09:06",
"content": "can you use that to rewrite or rearrange $t_1+t_{12}$ and get $t_5+t_8$?",
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"timestamp": "03/21/2022 17:09:08",
"content": "**Zybikron**",
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"author_name": "Zybikron",
"timestamp": "03/21/2022 17:09:48",
"content": "or start backwards, use that definition to rewrite $t_5+t_8$",
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"id": 955573981400928400,
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"timestamp": "03/21/2022 17:09:50",
"content": "**Zybikron**",
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"timestamp": "03/21/2022 17:16:10",
"content": "mmmm",
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"timestamp": "03/21/2022 17:16:41",
"content": "Channel closed",
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}
] |
help-9
|
bc0836eff2994f3e9ebd33e7f6912d3d
|
197,105 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/30/2022 08:55:34",
"content": "Available help channel!",
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"id": 958711656131723300,
"author_id": 272791451979743230,
"author_name": "olin",
"timestamp": "03/30/2022 08:57:50",
"content": "I have a problem, the problem requires me to find a general formula for spline interpolation. Specifically quadratic and cubic interpolation. I know that the derivative of the conjoining functions has to be equal and for cubic the second derivative. If anyone has done this before, I am very stuck.",
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"content": "Pinned a message.",
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"content": ".close",
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"content": "Channel closed",
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help-9
|
4fa1e3fd87174313b679ff2b0fcba03e
|
197,106 |
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"id": 996435965306486900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/12/2022 11:20:47",
"content": "Available help channel!",
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},
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"id": 996446023847264300,
"author_id": 804141065476374500,
"author_name": "MotoPapi",
"timestamp": "07/12/2022 12:00:45",
"content": "Can someone explain Galoi Fields? I know that only primes and powers of primes are the most common. But I’m confused in particular as to how it was used in my classes proof of Fermats Little theorem. Specifically the second to last line",
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"content": "Pinned a message.",
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"timestamp": "07/12/2022 12:15:58",
"content": "Why can we divide in GF but no other mod m",
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"author_id": 481123367374553100,
"author_name": "POMELO",
"timestamp": "07/12/2022 12:17:51",
"content": "because it's an integer",
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"timestamp": "07/12/2022 12:18:49",
"content": "What?",
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"id": 996451033834340500,
"author_id": 481123367374553100,
"author_name": "POMELO",
"timestamp": "07/12/2022 12:20:39",
"content": "(p-1)...3*2*1 is an integer so u can divide but u don't need in the mod",
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"timestamp": "07/12/2022 12:21:17",
"content": "I understand but what property of GF allows us to cancel out",
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"timestamp": "07/12/2022 12:35:03",
"content": "i don't have the property but i can demonstrate if u want",
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"content": "@MotoPapi Has your question been resolved?",
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help-9
|
42b3d1dec41548c3a5a28fe739ce1e2a
|
197,107 |
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"timestamp": "07/12/2022 13:39:29",
"content": "Available help channel!",
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"id": 996471869177860100,
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"timestamp": "07/12/2022 13:43:27",
"content": "how does this",
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"content": "Pinned a message.",
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"author_name": "at_0987",
"timestamp": "07/12/2022 13:43:41",
"content": "go to this",
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"id": 996472485933498400,
"author_id": 878798685264285700,
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"timestamp": "07/12/2022 13:45:54",
"content": "You square the entire log",
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"id": 996472580846407800,
"author_id": 878798685264285700,
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"content": "(x+2)^2",
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"content": "you multiply it by 2",
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"timestamp": "07/12/2022 13:46:23",
"content": "Oh ya",
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"id": 996472615571046400,
"author_id": 878798685264285700,
"author_name": "JSwift",
"timestamp": "07/12/2022 13:46:25",
"content": "lol",
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"id": 996472677659324500,
"author_id": 852256521986768900,
"author_name": ".,..",
"timestamp": "07/12/2022 13:46:39",
"content": "whhat",
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"timestamp": "07/12/2022 13:46:52",
"content": "here it says something differnt",
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"timestamp": "07/12/2022 13:46:54",
"content": "$\\log(x+2) \\cdot 2 = \\log(x^2+4x+4)$",
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"timestamp": "07/12/2022 13:46:56",
"content": "**illuminator3**",
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"timestamp": "07/12/2022 13:47:21",
"content": "Oh",
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"timestamp": "07/12/2022 13:47:31",
"content": "Why do I do math",
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"author_name": "at_0987",
"timestamp": "07/12/2022 13:48:22",
"content": "but this also would give me the full points right?",
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"timestamp": "07/12/2022 13:48:39",
"content": "idfk what you're supposed to do",
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"timestamp": "07/12/2022 13:48:43",
"content": "you're expecting us to read your mind",
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"author_id": 839219429363417100,
"author_name": "at_0987",
"timestamp": "07/12/2022 13:49:31",
"content": "calculate x so that f(x) = h(x)",
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"author_id": 391270706186420200,
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"timestamp": "07/12/2022 13:49:42",
"content": "so that what?",
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"timestamp": "07/12/2022 13:49:44",
"content": "ah",
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"author_name": "illuminator3",
"timestamp": "07/12/2022 13:49:51",
"content": "that's something entirely different",
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"author_name": "illuminator3",
"timestamp": "07/12/2022 13:49:54",
"content": ":NootLikeThis:",
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"id": 996473540838703200,
"author_id": 839219429363417100,
"author_name": "at_0987",
"timestamp": "07/12/2022 13:50:05",
"content": "💀 😅",
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"author_name": "illuminator3",
"timestamp": "07/12/2022 13:50:11",
"content": "$$\\log_2(x+2) = \\log_4(x^2 + 4x + 4)$$ solve this equation",
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"timestamp": "07/12/2022 13:50:27",
"content": "**illuminator3**",
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"timestamp": "07/12/2022 13:50:43",
"content": "^^",
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"timestamp": "07/12/2022 13:50:50",
"content": "what",
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"id": 996473813405548500,
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"timestamp": "07/12/2022 13:51:10",
"content": "solve this for x",
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"content": ":Pingsock:",
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"timestamp": "07/12/2022 13:54:55",
"content": "yeah idkkkk",
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"content": "why is the solution already on the picture you sent ?",
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"content": ".close",
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] |
help-9
|
3bf95ac1023c46b39d1d2f506a79a223
|
197,108 |
[
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"timestamp": "07/12/2022 14:04:10",
"content": "Available help channel!",
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"author_id": 325570175594135550,
"author_name": "Big xdddd",
"timestamp": "07/12/2022 14:06:59",
"content": "$f:\\mathbb{R}\\to\\mathbb{R};\\quad f(x) = sin(x-y)+x^2-y^2$",
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"timestamp": "07/12/2022 14:07:02",
"content": "**Big xdddd**",
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"author_name": "Big xdddd",
"timestamp": "07/12/2022 14:07:14",
"content": "Hey, the question is to find all critical points of this function",
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"content": "i derivated the function and got",
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"content": "$f_x=\\cos(x-y)+2x$",
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"timestamp": "07/12/2022 14:08:04",
"content": "**Big xdddd**",
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"timestamp": "07/12/2022 14:08:16",
"content": "$f_y=-\\cos(x-y)-2y$",
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"id": 996478124864839800,
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"timestamp": "07/12/2022 14:08:18",
"content": "**Big xdddd**",
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"author_name": "Big xdddd",
"timestamp": "07/12/2022 14:08:27",
"content": "to find the critical points i have to set these funciton to zero",
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"timestamp": "07/12/2022 14:08:42",
"content": "i did that and tried to find the points but i ended up with $x=y$",
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"timestamp": "07/12/2022 14:08:56",
"content": "**Big xdddd**",
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"timestamp": "07/12/2022 14:09:27",
"content": "what do i have to plug into my hessian matrix now?",
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"timestamp": "07/12/2022 14:21:55",
"content": "Yes",
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"timestamp": "07/12/2022 14:26:56",
"content": "@Big xdddd Has your question been resolved?",
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"content": "@Big xdddd Has your question been resolved?",
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"author_name": "Eric Tao",
"timestamp": "07/12/2022 15:50:23",
"content": "x=y ist richtig, aber was ist cos(x-y), wenn x=y?",
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"content": "@Big xdddd Has your question been resolved?",
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"timestamp": "07/12/2022 16:58:51",
"content": "Channel closed",
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}
] |
help-9
|
4e87678a835e432db68e951c56968ad8
|
197,109 |
[
{
"id": 996521298001924100,
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"author_name": "Mathematics Bot",
"timestamp": "07/12/2022 16:59:51",
"content": "Available help channel!",
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},
{
"id": 996522379931041900,
"author_id": 937393301580054500,
"author_name": "McLovin",
"timestamp": "07/12/2022 17:04:09",
"content": "How do I calculate the sine, cosine, tangent, etc., of a non-reference angle without using a calculator? Any resources to learn about this topic? How do I calculate the sine of 2014 knowing that the reference angle is 34?",
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"content": "Pinned a message.",
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"id": 996523133777486000,
"author_id": 371716931272835140,
"author_name": "π=√g",
"timestamp": "07/12/2022 17:07:09",
"content": "cos^2(x) + sin^2(x) = ...?",
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"author_name": "Eric Tao",
"timestamp": "07/12/2022 17:08:09",
"content": "you can't (at least not very accurately) but you don't need to to solve this problem (look at the above statement)",
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"author_name": "π=√g",
"timestamp": "07/12/2022 17:10:57",
"content": "Yup, and 315° = 7/4 pi",
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"author_name": "McLovin",
"timestamp": "07/12/2022 17:11:54",
"content": "yeah, but I don't know how to find the sin and cos of 2014 grades without calculator, or i don't know if is possible",
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"timestamp": "07/12/2022 17:12:14",
"content": "It's very likely not possible",
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"author_name": "McLovin",
"timestamp": "07/12/2022 17:12:48",
"content": "How would you calculate the cosine of 75?",
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"author_name": "π=√g",
"timestamp": "07/12/2022 17:14:27",
"content": "Using trig addition formula knowing that 75° = 5/12 pi = pi/6 + pi/4",
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"timestamp": "07/12/2022 17:15:28",
"content": "Ahhh, so there is no way to apply the same reasoning with 34(reference angle of 2014), right?",
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"timestamp": "07/12/2022 17:15:51",
"content": "It works with 75 because it is the result of the sum of the two notable angles, isn't it?",
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"timestamp": "07/12/2022 17:16:25",
"content": "Exactly, and you also dont know the (co)sine of 34",
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"timestamp": "07/12/2022 17:18:32",
"content": "Just realised 75 = 30 + 45 is probably more intuitive..",
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"timestamp": "07/12/2022 17:19:31",
"content": "Yeaaah hahah that's why I mentioned it",
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"timestamp": "07/12/2022 17:19:58",
"content": "Anywayy, thank you so much @π=√g!!",
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"timestamp": "07/12/2022 17:20:17",
"content": "I guess the idea is to solve it with a calculator.",
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"timestamp": "07/12/2022 17:20:58",
"content": "For this question you just use sin^2(2014) + cos^2(2014) = 1",
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"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "07/12/2022 17:21:26",
"content": "(apparently there is a closed form for sin(1deg) <https://www.efnet-math.org/Meta/sine1.htm>, so technically, you could compute sin(34) from that)",
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"timestamp": "07/12/2022 17:23:13",
"content": "Right!",
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"timestamp": "07/12/2022 17:25:37",
"content": ".close",
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] |
help-9
|
e6c0f89d0f924f03b4a4ece54dc9e70e
|
197,110 |
[
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"timestamp": "07/12/2022 17:26:38",
"content": "Available help channel!",
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"author_id": 761698471874003000,
"author_name": "Gabriel X",
"timestamp": "07/12/2022 17:33:52",
"content": "how do i get the time complexity of O(n^2)",
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},
{
"id": 996530764311187600,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "07/12/2022 17:37:28",
"content": "for i = 0 to n - 2: do something n - (i+1) times",
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"id": 996530845571612800,
"author_id": 484702191156985860,
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"timestamp": "07/12/2022 17:37:48",
"content": "So when you sum you get their formula",
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"id": 996531286892093400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "07/12/2022 17:39:33",
"content": "In the worst case of course",
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"id": 996531292818641000,
"author_id": 761698471874003000,
"author_name": "Gabriel X",
"timestamp": "07/12/2022 17:39:34",
"content": "but how were the able to conclude that its the sum from 0--> n-2",
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"id": 996531316302549100,
"author_id": 761698471874003000,
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"timestamp": "07/12/2022 17:39:40",
"content": "they",
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"id": 996531353422139500,
"author_id": 484702191156985860,
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"timestamp": "07/12/2022 17:39:49",
"content": "That's the first for loop",
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"author_name": "Gabriel X",
"timestamp": "07/12/2022 17:40:20",
"content": "the first for loop goes from 0;n-1-1",
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"author_name": "themateo713",
"timestamp": "07/12/2022 17:40:25",
"content": "n = a.length. i = 0 to i < n - 1, i.e. to n - 2",
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"timestamp": "07/12/2022 17:40:27",
"content": "oh ok i can see",
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"author_name": "Gabriel X",
"timestamp": "07/12/2022 17:40:40",
"content": "thx a lot 🙂",
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"id": 996531672952610800,
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"author_name": "Gabriel X",
"timestamp": "07/12/2022 17:41:05",
"content": "wait i still have one more question",
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"id": 996531737939157100,
"author_id": 761698471874003000,
"author_name": "Gabriel X",
"timestamp": "07/12/2022 17:41:20",
"content": "how did they get the term n-i-1",
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"timestamp": "07/12/2022 17:41:44",
"content": "-i makes sense to me bc the array becomes -i smaller",
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"author_name": "Gabriel X",
"timestamp": "07/12/2022 17:41:53",
"content": "after each iteration",
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"author_name": "Gabriel X",
"timestamp": "07/12/2022 17:42:01",
"content": "but where does the -1 come from",
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"id": 996531990037803100,
"author_id": 761698471874003000,
"author_name": "Gabriel X",
"timestamp": "07/12/2022 17:42:21",
"content": "is that from the first for loop",
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"timestamp": "07/12/2022 17:42:32",
"content": "j = i+1 to n-1. That's (j = 0 to n-1) - (the terms j = 0 to i)",
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"timestamp": "07/12/2022 17:43:17",
"content": "[0, n-1] - [0, i] <=> n - (i+1)",
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"author_name": "Gabriel X",
"timestamp": "07/12/2022 17:43:55",
"content": "hmmm i cant really follow ur explanation",
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"timestamp": "07/12/2022 17:45:06",
"content": "[i+1, n-1] = [0, n-1] \\ [0, i]",
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"id": 996532845961031800,
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"timestamp": "07/12/2022 17:45:45",
"content": "So when you count the values j takes on with this method you get n - (i+1)",
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"author_name": "Gabriel X",
"timestamp": "07/12/2022 17:46:07",
"content": "doesnt j depend on i ? How do u know that j =0?",
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"timestamp": "07/12/2022 17:46:32",
"content": "It never does. But mathematically",
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"timestamp": "07/12/2022 17:47:14",
"content": "j in [i+1, n-1] <=> j in [0, n-1] but j not in [0, i]",
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"timestamp": "07/12/2022 17:47:48",
"content": "And the second line you can count the elements because both ranges are simple",
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"author_name": "themateo713",
"timestamp": "07/12/2022 17:48:46",
"content": "In plain words \"all the values from 0 to n-1 except those smaller than i\"",
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"author_name": "Gabriel X",
"timestamp": "07/12/2022 17:49:03",
"content": "is there any website where i can find the explanation for this j in [i+1,n-1] <=> j in [0, n-1] but j not in [0, i]",
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"timestamp": "07/12/2022 17:50:05",
"content": "This is just basic sets: if you interpret my notations with more rigor then how I'm currently writing them, both sets are equal",
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"timestamp": "07/12/2022 17:50:57",
"content": "It's always numbers less than n-1, and it's always numbers > i, so they're the same numbers",
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"author_name": "themateo713",
"timestamp": "07/12/2022 17:52:28",
"content": "Otherwise, try to count how many values j takes on, by the method of your choice. You should find n - i - 1",
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"timestamp": "07/12/2022 17:53:30",
"content": "You can also just say it's always end - start + 1 hence (n-1) - (i+1) + 1 = n - i - 1",
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"author_name": "Gabriel X",
"timestamp": "07/12/2022 17:54:57",
"content": "i think that i have understood this part now :j = i+1 to n-1. That's (j = 0 to n-1) ---> bc i ist at least 0 one can assume that [j =0,n-2+1] bc the sc for loop is always one value before the outer value and if we take the end of the first for loop which is n-2 , we can add +1 which then makes n-1",
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"id": 996535622875500500,
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"author_name": "themateo713",
"timestamp": "07/12/2022 17:56:47",
"content": "I did not understand that",
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"author_name": "Gabriel X",
"timestamp": "07/12/2022 17:56:58",
"content": "why do i need to - (the terms j = 0 to i) in order to get the time complexity for the worst case",
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"author_name": "themateo713",
"timestamp": "07/12/2022 17:57:23",
"content": "Here visibly the goal is to be exact",
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"author_name": "themateo713",
"timestamp": "07/12/2022 17:58:06",
"content": "You can say \"less than n^2 operations\", or you can be exact and say it's this sum and compute it",
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"author_name": "Gabriel X",
"timestamp": "07/12/2022 17:59:06",
"content": "do u have any resources that explains time complexity in depth ?",
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"timestamp": "07/12/2022 17:59:18",
"content": "No",
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"id": 996536390126936200,
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"author_name": "themateo713",
"timestamp": "07/12/2022 17:59:50",
"content": "Just count the operations. How many times you loop and what is done at each iteration",
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"author_name": "Gabriel X",
"timestamp": "07/12/2022 18:00:08",
"content": "i understood the code",
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"id": 996536562986782700,
"author_id": 761698471874003000,
"author_name": "Gabriel X",
"timestamp": "07/12/2022 18:00:31",
"content": "but i cant grasp how they went from that step to the sum",
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"author_name": "themateo713",
"timestamp": "07/12/2022 18:01:23",
"content": "The sum comes from the i loop. The n - i - 1 is the number of value j takes on for each iteration of the i loop",
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"author_name": "themateo713",
"timestamp": "07/12/2022 18:01:57",
"content": "Because j goes from i+1 to n-1 and that's n - i - 1 values",
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"id": 996537025840824400,
"author_id": 761698471874003000,
"author_name": "Gabriel X",
"timestamp": "07/12/2022 18:02:21",
"content": "i know that the first for loop looks at the elements from [0,n-2] and compares the values to the next elements beginning from [1,n-1] and so om",
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"timestamp": "07/12/2022 18:05:45",
"content": "",
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"author_name": "themateo713",
"timestamp": "07/12/2022 18:06:53",
"content": "I don't know how to explain how to count values in a range of integers in 3 different ways. Running out of ideas at some point",
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"id": 996538193392451600,
"author_id": 761698471874003000,
"author_name": "Gabriel X",
"timestamp": "07/12/2022 18:07:00",
"content": "W for the effort",
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},
{
"id": 996538223717257300,
"author_id": 761698471874003000,
"author_name": "Gabriel X",
"timestamp": "07/12/2022 18:07:07",
"content": "understoooood",
"attachments": [],
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"reference": null
},
{
"id": 996538242457424000,
"author_id": 761698471874003000,
"author_name": "Gabriel X",
"timestamp": "07/12/2022 18:07:11",
"content": "thx man",
"attachments": [],
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"id": 996538262493610000,
"author_id": 761698471874003000,
"author_name": "Gabriel X",
"timestamp": "07/12/2022 18:07:16",
"content": "great help",
"attachments": [],
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},
{
"id": 996538329472450600,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "07/12/2022 18:07:32",
"content": "Which is the visual interpretation of this",
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},
{
"id": 996542040374509700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/12/2022 18:22:17",
"content": "@Gabriel X Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "07/12/2022 18:37:16",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
879daf6b026d42c1830d6adb8712d9a0
|
197,111 |
[
{
"id": 996546066444980200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/12/2022 18:38:17",
"content": "Available help channel!",
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},
{
"id": 996546462240489600,
"author_id": 380010789349883900,
"author_name": "snotdetectTentoes",
"timestamp": "07/12/2022 18:39:51",
"content": "Hi",
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},
{
"id": 996546464195031000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/12/2022 18:39:52",
"content": "Pinned a message.",
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"author_id": 380010789349883900,
"author_name": "snotdetectTentoes",
"timestamp": "07/12/2022 18:43:30",
"content": "Assume F is some nonempty subset of a metric space X. I argued that if x is a limit point of F then we must have d(x,F) = 0. If d(x,F) is not zero, say d(x,F) = n, then the open ball of radius d, 1<d<n, is a neighborhood that contains no points in F. Is this argument correct?",
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"id": 996549692185903100,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/12/2022 18:52:41",
"content": "lemme see",
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},
{
"id": 996549792928911400,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/12/2022 18:53:05",
"content": "what do you mean by d(x,F) = 0?",
"attachments": [],
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{
"id": 996549883576205300,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/12/2022 18:53:27",
"content": "As far as I know you can only have the distance between elements of a metric space, not between an element and a set",
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"id": 996550526726590500,
"author_id": 380010789349883900,
"author_name": "snotdetectTentoes",
"timestamp": "07/12/2022 18:56:00",
"content": "My book defines it as the infimum of {d(x,y): y in F}.",
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},
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"author_id": 380010789349883900,
"author_name": "snotdetectTentoes",
"timestamp": "07/12/2022 18:56:16",
"content": "@Eric Tao",
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"id": 996550624336420900,
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"author_name": "Eric Tao",
"timestamp": "07/12/2022 18:56:23",
"content": "oh okay got it",
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"id": 996550714232946700,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/12/2022 18:56:45",
"content": "what is the statement you are trying to prove here?",
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"id": 996550937571233800,
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"author_name": "Eric Tao",
"timestamp": "07/12/2022 18:57:38",
"content": "looks all correct except idk why you have 1<d, should just be d<n, no?",
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"timestamp": "07/12/2022 18:58:12",
"content": "i meant 0<d, but I guess i can omit it since distances are already greater than 0",
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"id": 996551253054201900,
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"author_name": "Eric Tao",
"timestamp": "07/12/2022 18:58:53",
"content": "yeah 0<d is correct",
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"id": 996551292640055400,
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"author_name": "Eric Tao",
"timestamp": "07/12/2022 18:59:03",
"content": "but that's not the open ball",
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"id": 996551326882349000,
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"author_name": "Eric Tao",
"timestamp": "07/12/2022 18:59:11",
"content": "because it doesn't include x itself",
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"id": 996551412701990900,
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"author_name": "Eric Tao",
"timestamp": "07/12/2022 18:59:31",
"content": "I think one calls that \"the punctured neighborhood of x with radius n\" or something like that",
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"timestamp": "07/12/2022 18:59:58",
"content": "hmm havent heard of that yet",
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"author_name": "Eric Tao",
"timestamp": "07/12/2022 19:00:10",
"content": "punctured just means it doesn't include x itself",
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"author_name": "snotdetectTentoes",
"timestamp": "07/12/2022 19:00:17",
"content": "ahh ok so like a hole",
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"timestamp": "07/12/2022 19:00:21",
"content": "yup",
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"timestamp": "07/12/2022 19:00:24",
"content": "wait so just to confirm",
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"author_name": "Eric Tao",
"timestamp": "07/12/2022 19:00:51",
"content": "the statement you're trying to prove is \"If x is a limit point of F, then d(x,F) = 0\"?",
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"timestamp": "07/12/2022 19:00:57",
"content": "yeah",
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"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/12/2022 19:01:08",
"content": "okay yeah your proof looks good to me",
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"id": 996551841284374700,
"author_id": 380010789349883900,
"author_name": "snotdetectTentoes",
"timestamp": "07/12/2022 19:01:14",
"content": "okay thx",
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"id": 996552005348765700,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/12/2022 19:01:53",
"content": "np just make sure to say at the end since we have a punctured neighborhood of x that doesn't include any points in F then x is not a limit point of F (which is what you wanted to show, by contrapositive)",
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"timestamp": "07/12/2022 19:02:06",
"content": "ok",
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"author_id": 380010789349883900,
"author_name": "snotdetectTentoes",
"timestamp": "07/12/2022 19:02:08",
"content": ".close",
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{
"id": 996552074072436700,
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"author_name": "Mathematics Bot",
"timestamp": "07/12/2022 19:02:09",
"content": "Channel closed",
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}
] |
help-9
|
1c0712bb49524e99938faa83f385da7c
|
197,112 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/12/2022 20:23:27",
"content": "Available help channel!",
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},
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"id": 996574322686693400,
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"id": 996574467658612700,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/12/2022 20:31:08",
"content": "where would I plug in the 37?",
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},
{
"id": 996574540782108700,
"author_id": 533543009774731260,
"author_name": "2 3 5 7",
"timestamp": "07/12/2022 20:31:25",
"content": "What is 37 ?",
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{
"id": 996574661141856400,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/12/2022 20:31:54",
"content": "like",
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},
{
"id": 996574672474886100,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/12/2022 20:31:57",
"content": "a distance?",
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"id": 996574699033210900,
"author_id": 533543009774731260,
"author_name": "2 3 5 7",
"timestamp": "07/12/2022 20:32:03",
"content": "Yes",
"attachments": [],
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},
{
"id": 996574738140909600,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/12/2022 20:32:13",
"content": "but how would I solve for v",
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"id": 996574753554964500,
"author_id": 533543009774731260,
"author_name": "2 3 5 7",
"timestamp": "07/12/2022 20:32:16",
"content": "And what represents distance in the equation?",
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},
{
"id": 996574767505227900,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/12/2022 20:32:20",
"content": "d",
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"id": 996574882433351700,
"author_id": 533543009774731260,
"author_name": "2 3 5 7",
"timestamp": "07/12/2022 20:32:47",
"content": "So plug in d = 37 \nAnd then you have a quadratic which you can easily solve",
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"id": 996575005179641900,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/12/2022 20:33:16",
"content": "lemme try it",
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{
"id": 996575182456103000,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/12/2022 20:33:58",
"content": "it will give me two solutions right?",
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"id": 996575336659693700,
"author_id": 797192290007384000,
"author_name": "Sm3",
"timestamp": "07/12/2022 20:34:35",
"content": "Yes, but you can ignore the negative solution as it doesn't make sense in the context of the problem",
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"id": 996575568311111700,
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"timestamp": "07/12/2022 20:35:30",
"content": "Perfect - thank you!",
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},
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"id": 996578632862531600,
"author_id": 803698517519892500,
"author_name": "galactica",
"timestamp": "07/12/2022 20:47:41",
"content": ".close",
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{
"id": 996578634406035600,
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"author_name": "Mathematics Bot",
"timestamp": "07/12/2022 20:47:41",
"content": "Channel closed",
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}
] |
help-9
|
69f34576dd704754853d65115d420774
|
197,113 |
[
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"timestamp": "07/12/2022 20:48:42",
"content": "Available help channel!",
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"id": 996578978242506800,
"author_id": 449701796923834400,
"author_name": "lakklak",
"timestamp": "07/12/2022 20:49:03",
"content": "how do I solve for sin(13pi/3) ?",
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"content": "Channel closed",
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}
] |
help-9
|
16db5b11948a42d3aace67fb920a6064
|
197,114 |
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"author_name": "Mathematics Bot",
"timestamp": "07/12/2022 22:03:28",
"content": "Available help channel!",
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"author_id": 774733338672889900,
"author_name": "liviu",
"timestamp": "07/12/2022 22:06:44",
"content": "comp math — don’t know where to start",
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"id": 996598593572053000,
"author_id": 774733338672889900,
"author_name": "liviu",
"timestamp": "07/12/2022 22:07:00",
"content": "tried induction but can’t find base case",
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"id": 996599364753571800,
"author_id": 640103346186747900,
"author_name": "kura",
"timestamp": "07/12/2022 22:10:04",
"content": "Prove:\n\n$$ x^2 + y^2 = \\frac{x^2}{2-y} + \\frac{y^2}{2-x} $$",
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"id": 996599376979972100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/12/2022 22:10:07",
"content": "**kura**",
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"author_name": "kura",
"timestamp": "07/12/2022 22:10:13",
"content": "Hopefully that gives better intuition",
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},
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"id": 996599471876091900,
"author_id": 774733338672889900,
"author_name": "liviu",
"timestamp": "07/12/2022 22:10:30",
"content": "how do I get rid of denominators",
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"id": 996599680723062900,
"author_id": 640103346186747900,
"author_name": "kura",
"timestamp": "07/12/2022 22:11:19",
"content": "You can factor it out I suppose. Why not try it out?",
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{
"id": 996599711182098600,
"author_id": 640103346186747900,
"author_name": "kura",
"timestamp": "07/12/2022 22:11:27",
"content": "It might lead you to understand the problem better",
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{
"id": 996599888563413100,
"author_id": 640103346186747900,
"author_name": "kura",
"timestamp": "07/12/2022 22:12:09",
"content": "Probably won't do anything tho :KEK:",
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"id": 996599915071418400,
"author_id": 774733338672889900,
"author_name": "liviu",
"timestamp": "07/12/2022 22:12:15",
"content": "💀",
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"id": 996600031278796800,
"author_id": 640103346186747900,
"author_name": "kura",
"timestamp": "07/12/2022 22:12:43",
"content": "Think about it like this, \n\nHow do you get from the RHS to equal to the LHS.",
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"id": 996600165404266600,
"author_id": 640103346186747900,
"author_name": "kura",
"timestamp": "07/12/2022 22:13:15",
"content": "What is the key difference in them. What does x and y *have* to be to satisfy some x^2 + y^2 = x^2 + y^2",
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"id": 996600218327982100,
"author_id": 640103346186747900,
"author_name": "kura",
"timestamp": "07/12/2022 22:13:27",
"content": "What does x and y have to be to get rid of the denominators per se",
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"id": 996600267057401900,
"author_id": 774733338672889900,
"author_name": "liviu",
"timestamp": "07/12/2022 22:13:39",
"content": "not prime",
"attachments": [],
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"id": 996600383550009500,
"author_id": 774733338672889900,
"author_name": "liviu",
"timestamp": "07/12/2022 22:14:07",
"content": "wait do x and y have to be prime",
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"id": 996600650043510900,
"author_id": 774733338672889900,
"author_name": "liviu",
"timestamp": "07/12/2022 22:15:10",
"content": "oh",
"attachments": [],
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"id": 996600700534526100,
"author_id": 774733338672889900,
"author_name": "liviu",
"timestamp": "07/12/2022 22:15:22",
"content": "2-y = x^2",
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"id": 996600734307070100,
"author_id": 774733338672889900,
"author_name": "liviu",
"timestamp": "07/12/2022 22:15:31",
"content": "2-x = y^2",
"attachments": [],
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},
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"id": 996600792364613600,
"author_id": 640103346186747900,
"author_name": "kura",
"timestamp": "07/12/2022 22:15:44",
"content": "Ok that gets you the right mindset but the process for doing it that way makes no sense",
"attachments": [],
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},
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"id": 996600974422589600,
"author_id": 640103346186747900,
"author_name": "kura",
"timestamp": "07/12/2022 22:16:28",
"content": "The stupid intuitive way to solve this, is to understand that hey, for both sides to be equal, I want the denominators to be 1.",
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"id": 996600976129667100,
"author_id": 774733338672889900,
"author_name": "liviu",
"timestamp": "07/12/2022 22:16:28",
"content": "could diophantine possibly work",
"attachments": [],
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},
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"id": 996601012569776300,
"author_id": 640103346186747900,
"author_name": "kura",
"timestamp": "07/12/2022 22:16:37",
"content": "Either way, I'll just explain the algebraic way to solve this",
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"id": 996601193163919500,
"author_id": 640103346186747900,
"author_name": "kura",
"timestamp": "07/12/2022 22:17:20",
"content": "Given \n$$ x = \\pm \\sqrt{2-y^2} $$\n\nWhat is y?",
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"id": 996601204295598100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/12/2022 22:17:23",
"content": "**kura**",
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"id": 996601525205991400,
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"author_name": "kura",
"timestamp": "07/12/2022 22:18:39",
"content": "You can also do this the other way around as well",
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},
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"id": 996602121996738700,
"author_id": 774733338672889900,
"author_name": "liviu",
"timestamp": "07/12/2022 22:21:01",
"content": "does it become a quadratic..?",
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},
{
"id": 996602207380181100,
"author_id": 640103346186747900,
"author_name": "kura",
"timestamp": "07/12/2022 22:21:22",
"content": "A very messy one",
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},
{
"id": 996602242301964300,
"author_id": 640103346186747900,
"author_name": "kura",
"timestamp": "07/12/2022 22:21:30",
"content": "Which is why I don't think they expect you to actually do this algebraically",
"attachments": [],
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},
{
"id": 996602252565434400,
"author_id": 640103346186747900,
"author_name": "kura",
"timestamp": "07/12/2022 22:21:32",
"content": "In a competitive setting",
"attachments": [],
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},
{
"id": 996602291937366000,
"author_id": 774733338672889900,
"author_name": "liviu",
"timestamp": "07/12/2022 22:21:42",
"content": "oh",
"attachments": [],
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},
{
"id": 996602335683952600,
"author_id": 774733338672889900,
"author_name": "liviu",
"timestamp": "07/12/2022 22:21:52",
"content": "vieta formulas?",
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},
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"id": 996602457201332200,
"author_id": 640103346186747900,
"author_name": "kura",
"timestamp": "07/12/2022 22:22:21",
"content": "$$\\left(2-y^2\\right)\\left(-\\sqrt{-y^2+2}+2\\right)+y^2\\left(-y+2\\right)=2\\left(-y+2\\right)\\left(-\\sqrt{-y^2+2}+2\\right)$$",
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"id": 996602468005855200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/12/2022 22:22:24",
"content": "**kura**",
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"id": 996602490483130400,
"author_id": 640103346186747900,
"author_name": "kura",
"timestamp": "07/12/2022 22:22:29",
"content": "After multiplying all the denominators out",
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},
{
"id": 996602501841297500,
"author_id": 640103346186747900,
"author_name": "kura",
"timestamp": "07/12/2022 22:22:32",
"content": "You get some dumb shit like this",
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},
{
"id": 996602520623390700,
"author_id": 774733338672889900,
"author_name": "liviu",
"timestamp": "07/12/2022 22:22:36",
"content": "wtf",
"attachments": [],
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},
{
"id": 996602540156264400,
"author_id": 640103346186747900,
"author_name": "kura",
"timestamp": "07/12/2022 22:22:41",
"content": "You're simply not expected to do this in like the 2 minute frame",
"attachments": [],
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},
{
"id": 996602583210791000,
"author_id": 774733338672889900,
"author_name": "liviu",
"timestamp": "07/12/2022 22:22:51",
"content": "oh no comp math is like",
"attachments": [],
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},
{
"id": 996602596414476300,
"author_id": 774733338672889900,
"author_name": "liviu",
"timestamp": "07/12/2022 22:22:54",
"content": "Math Olympiad",
"attachments": [],
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},
{
"id": 996602609945292800,
"author_id": 640103346186747900,
"author_name": "kura",
"timestamp": "07/12/2022 22:22:58",
"content": "Oh",
"attachments": [],
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},
{
"id": 996602616949776400,
"author_id": 640103346186747900,
"author_name": "kura",
"timestamp": "07/12/2022 22:22:59",
"content": "Not like AMC?",
"attachments": [],
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},
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"id": 996602664462864500,
"author_id": 640103346186747900,
"author_name": "kura",
"timestamp": "07/12/2022 22:23:11",
"content": "Is there a time limit on this problem?",
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"timestamp": "07/12/2022 22:23:23",
"content": "er this is an easier math Olympiad q",
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"timestamp": "07/12/2022 22:23:31",
"content": "I’m just practicing so there isn’t a time limit",
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"timestamp": "07/12/2022 22:23:41",
"content": "if it was actually given probs 30min? def not 2",
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"timestamp": "07/12/2022 22:23:50",
"content": "Ah",
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"timestamp": "07/12/2022 22:23:56",
"content": "yeah haha",
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"timestamp": "07/12/2022 22:23:58",
"content": "Some others give you like a 3 minute time frame to intuitively understand these problems",
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"author_name": "kura",
"timestamp": "07/12/2022 22:24:01",
"content": "Granted they're multiple choice",
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"author_name": "kura",
"timestamp": "07/12/2022 22:24:13",
"content": "So there's more strategy than just solving the problem optimally",
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"author_name": "liviu",
"timestamp": "07/12/2022 22:24:18",
"content": "no this is not multiple choice",
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"timestamp": "07/12/2022 22:24:22",
"content": "you have to write proofs",
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"timestamp": "07/12/2022 22:25:41",
"content": "Hmm, well granted that x and y have to be real numbers. You know they're limited within the range of -2 and 2",
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"timestamp": "07/12/2022 22:25:49",
"content": "Otherwise it fails the condition of x^2 + y^2 = 2",
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"timestamp": "07/12/2022 22:26:18",
"content": "how did you deduce the range",
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"timestamp": "07/12/2022 22:26:31",
"content": "I'm unsure if a proof, such that you can intuitively almost guess the answer and then prove that all other answers within that range doesn't satisfy the condition",
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"timestamp": "07/12/2022 22:26:40",
"content": "Oh I mean square root of 2",
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"timestamp": "07/12/2022 22:26:45",
"content": "Wait no 2",
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"timestamp": "07/12/2022 22:26:47",
"content": "Wait no square root of 2",
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"timestamp": "07/12/2022 22:27:32",
"content": "You can treat it like a right triangle. If the hypotenuse is 2, neither side can be more than square root of 2, otherwise it breaks the pythagorean theorem",
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"timestamp": "07/12/2022 22:27:40",
"content": "For example, if you did 2, you would get 2^2 + 0^2 = 4",
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"author_name": "liviu",
"timestamp": "07/12/2022 22:27:46",
"content": "it’s a proof as long as you can explain it and get the correct answer",
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"timestamp": "07/12/2022 22:29:16",
"content": "If y = 0, the range of x is between \\sqrt{-2} and \\sqrt{2}\nIf x = 0, the range of y is between \\sqrt{-2} and \\sqrt{2}",
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"timestamp": "07/12/2022 22:29:50",
"content": "Do you understand the intuition of this?",
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"timestamp": "07/12/2022 22:29:58",
"content": "yes",
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"timestamp": "07/12/2022 22:31:37",
"content": "Hm the answer is like screaming right there, I just don't know how to prove it",
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"timestamp": "07/12/2022 22:32:18",
"content": "When forcing a number in such that the denominators = 1, you realize what x and y is",
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"timestamp": "07/12/2022 22:33:01",
"content": "???",
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"author_name": "kura",
"timestamp": "07/12/2022 22:33:24",
"content": "What",
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"author_name": "liviu",
"timestamp": "07/12/2022 22:34:12",
"content": "confused how you get the answer right away if you turn the denominator into 1",
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"timestamp": "07/12/2022 22:34:37",
"content": "The only way for the denominator to be 1, is if x = 1 and y = 1",
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"timestamp": "07/12/2022 22:34:46",
"content": "Which well, is the literal answer",
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"author_name": "liviu",
"timestamp": "07/12/2022 22:35:06",
"content": "but x and y have to be different right..?",
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"author_name": "kura",
"timestamp": "07/12/2022 22:35:16",
"content": "Why would they have to be?",
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"id": 996605756440854800,
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"author_name": "kura",
"timestamp": "07/12/2022 22:35:28",
"content": "The algebraic method also comes out with x = 1 and y = 1",
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"timestamp": "07/12/2022 22:35:43",
"content": "There's no where in the question that says x and y have to be different",
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"author_name": "liviu",
"timestamp": "07/12/2022 22:36:32",
"content": "can you show me how you did it?",
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"author_name": "Mathematics Bot",
"timestamp": "07/12/2022 22:51:32",
"content": "@liviu Has your question been resolved?",
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"timestamp": "07/12/2022 22:58:13",
"content": "Initially, you can deduce: \n-sqrt(2) <= x <= sqrt(2) \n-sqrt(2) <= y <= sqrt(2)\nFrom the equation of x^2 + y^2 = 2\n\nThen we can look at the conditions in ranges of x and y:\nWe can suggest a path, that the main condition is dependent on the denominator of the second equation.\nSuch that: If y > 1, we find that the x^2 term decreases, if y < 1, we find that the x^2 term increases. \nSimilarly this also works with x\n\nTherefore we have 4 cases:\n\nI will be calling a = 1/(2-y) and b = 1/(2-x) \n\nx > 1 and y > 1:\nThis will **always** be out of bounds for the first equation. By always being too large.\nGiven an x^2 + y^2 = 2 **AND** expect the same ax^2 + by^2 = 2, when *a and b* are increasing the x^2 and y^2 value. \n\nx < 1 and y < 1:\nThis will **always** be out of bounds for the first equation. By always being too small.\nUse the same induction as the previous statement.\nThis case also applies to when x < 0 and y < 0 (well obv)\n\nx < 1 and y > 1 / x > 1 and y < 1\nThis will **always** be out of bounds for the first equation.\nLet's say we have a 0 and a sqrt(2) (for example). \nIt satisfies the first condition, but the second condition is screwed. \nWhen x is < 1, the x^2 condition is getting reduced. When y > 1, it'll increase it back again.\nWhen x is > 1, then the x^2 condition is getting larger. When y < 1, it'll decrease it's size.\nIt sounds marginally right, however it'll always consistently overshoot. \nYou can show that it'll overshoot by proving that the ratio that it decreases is smaller than its increase.",
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"timestamp": "07/12/2022 23:03:34",
"content": "If you have 30 minutes, you can also just graph this shit. There's only like 5 points you can do since x and y is so limited.",
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"timestamp": "07/12/2022 23:03:49",
"content": "And then go on from there",
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"timestamp": "07/12/2022 23:07:38",
"content": "Oh a better way to prove it is showing the range of ratio is 2 to 0.6",
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"timestamp": "07/12/2022 23:08:16",
"content": "just saw this ahshhd",
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"author_name": "liviu",
"timestamp": "07/12/2022 23:08:32",
"content": "where does this come from?",
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"author_name": "liviu",
"timestamp": "07/12/2022 23:09:39",
"content": "ah then you go onto explain why x and y have to equal 1",
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"timestamp": "07/12/2022 23:21:14",
"content": "Because literally every other number doesn't work",
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"timestamp": "07/12/2022 23:21:27",
"content": "Square root of 2 is 1.4 or something like that",
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"timestamp": "07/12/2022 23:21:59",
"content": "It'll always increase more than it decreases UNLESS x and y are both less than 1 (which is wrong, cuz then x^2 + y^2 = way less than 2) or x and y = 1",
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"id": 996619031706607600,
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"author_name": "liviu",
"timestamp": "07/12/2022 23:28:13",
"content": "could you clarify where 2 and 0.6 come from?",
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"author_name": "liviu",
"timestamp": "07/12/2022 23:28:48",
"content": "thank you sm for all your help btw 😭😭 really appreciate it",
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"id": 996621984718929900,
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"author_name": "kura",
"timestamp": "07/12/2022 23:39:57",
"content": ",w sqrt(2)",
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"author_name": "TeXit",
"timestamp": "07/12/2022 23:39:59",
"content": "Results provided by WolframAlpha",
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"author_name": "kura",
"timestamp": "07/12/2022 23:40:05",
"content": "It's just an approximation",
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"id": 996622075282333700,
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"timestamp": "07/12/2022 23:40:19",
"content": "Since the maximum value of x or y is ~1.4",
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"author_name": "kura",
"timestamp": "07/12/2022 23:40:39",
"content": "The range that the denominators can be is from 0.6 to 2",
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"timestamp": "07/12/2022 23:45:16",
"content": "ahhh I see",
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"id": 996623365815160800,
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"author_name": "liviu",
"timestamp": "07/12/2022 23:45:26",
"content": "thank you so much for all your help 💜",
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"id": 996623433964208100,
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"author_name": "kura",
"timestamp": "07/12/2022 23:45:43",
"content": "This is so ghetto",
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"id": 996623485092769800,
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"author_name": "kura",
"timestamp": "07/12/2022 23:45:55",
"content": "Honestly in actual practice, graphing would make more sense",
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"author_name": "kura",
"timestamp": "07/12/2022 23:46:27",
"content": "I don't do competitive math so you might wanna check with like",
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"id": 996623649136193500,
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"author_name": "kura",
"timestamp": "07/12/2022 23:46:34",
"content": "An answer key or someone else to show how to actually deduce it's 1, 1",
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"id": 996623692169760900,
"author_id": 774733338672889900,
"author_name": "liviu",
"timestamp": "07/12/2022 23:46:44",
"content": "haha there’s another question that’s really restrictive",
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"id": 996623793504141400,
"author_id": 640103346186747900,
"author_name": "kura",
"timestamp": "07/12/2022 23:47:08",
"content": ":pepe_grin:",
"attachments": [],
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"id": 996623820930699300,
"author_id": 774733338672889900,
"author_name": "liviu",
"timestamp": "07/12/2022 23:47:15",
"content": "",
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"id": 996623852014673900,
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"author_name": "liviu",
"timestamp": "07/12/2022 23:47:22",
"content": "🤡🤡🤡🤡",
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"id": 996624044352868400,
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"author_name": "liviu",
"timestamp": "07/12/2022 23:48:08",
"content": "my only problem: what’s the best way to say the only solution is yet again, 1",
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"author_name": "liviu",
"timestamp": "07/12/2022 23:54:25",
"content": "@kura if you’re interested xD",
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"timestamp": "07/12/2022 23:57:38",
"content": "I need to study for interview haha",
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"id": 996626459332448400,
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"timestamp": "07/12/2022 23:57:44",
"content": "Was fun playing around with the previous problem tho",
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"author_name": "liviu",
"timestamp": "07/12/2022 23:58:16",
"content": "oh that’s alright",
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"author_name": "liviu",
"timestamp": "07/12/2022 23:58:21",
"content": "what kind of interview?",
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"id": 996626644544536700,
"author_id": 774733338672889900,
"author_name": "liviu",
"timestamp": "07/12/2022 23:58:28",
"content": "thanks for your help again",
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},
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"id": 996627859739259000,
"author_id": 774733338672889900,
"author_name": "liviu",
"timestamp": "07/13/2022 00:03:18",
"content": ".close",
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"id": 996627861307916300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 00:03:18",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
9cb32046e7a4437c8b355f47bdc28922
|
197,115 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 00:04:18",
"content": "Available help channel!",
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},
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"id": 996630483125420200,
"author_id": 878798685264285700,
"author_name": "JSwift",
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"content": "Pinned a message.",
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"id": 996630519557132300,
"author_id": 878798685264285700,
"author_name": "JSwift",
"timestamp": "07/13/2022 00:13:52",
"content": "Can someone help me with the algebra after the inductive hypothesis",
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},
{
"id": 996630864282788000,
"author_id": 878798685264285700,
"author_name": "JSwift",
"timestamp": "07/13/2022 00:15:14",
"content": "How did they take $5•5^k-4k-4-1$ to $5(5^k-4k-1)+16k$ and so on",
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},
{
"id": 996630875456417800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/13/2022 00:15:17",
"content": "**JSwift**",
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"id": 996630951306203100,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "07/13/2022 00:15:35",
"content": "Go backwards. Can you see how expanding the second line returns the first?",
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},
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"id": 996630989998669800,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "07/13/2022 00:15:44",
"content": "They added and subtracted 16k",
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},
{
"id": 996631777089163400,
"author_id": 878798685264285700,
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"timestamp": "07/13/2022 00:18:52",
"content": "I think I’m mostly confused about 16k",
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"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "07/13/2022 00:19:14",
"content": "So you can see that expanding the second line does give the first?",
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"id": 996632003585773600,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "07/13/2022 00:19:46",
"content": "Like, before we get into the \"why\", you want to be sure that the algebra is correct",
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"id": 996632251909541900,
"author_id": 878798685264285700,
"author_name": "JSwift",
"timestamp": "07/13/2022 00:20:45",
"content": "Yes I’ve got the first one from expanding",
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"id": 996632327432187900,
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"author_name": "JSwift",
"timestamp": "07/13/2022 00:21:03",
"content": "just had to break up 25^k and -5",
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"id": 996632586124267500,
"author_id": 878798685264285700,
"author_name": "JSwift",
"timestamp": "07/13/2022 00:22:05",
"content": "But yeah it works fine",
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"id": 996632602180075500,
"author_id": 878798685264285700,
"author_name": "JSwift",
"timestamp": "07/13/2022 00:22:08",
"content": "The other way for me",
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"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 00:37:09",
"content": "@JSwift Has your question been resolved?",
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"timestamp": "07/13/2022 00:37:45",
"content": "@Helpers",
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"id": 996638737972875400,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "07/13/2022 00:46:31",
"content": "What part you still confused about?",
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"timestamp": "07/13/2022 00:47:30",
"content": "The 16k",
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"id": 996639458231341200,
"author_id": 774733338672889900,
"author_name": "liviu",
"timestamp": "07/13/2022 00:49:23",
"content": "-20k+16k = -4K",
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"id": 996639508483289100,
"author_id": 774733338672889900,
"author_name": "liviu",
"timestamp": "07/13/2022 00:49:35",
"content": "it’s just rearranging",
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"id": 996639742030532700,
"author_id": 878798685264285700,
"author_name": "JSwift",
"timestamp": "07/13/2022 00:50:31",
"content": "Oh I see",
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"author_id": 266681067732336640,
"author_name": "_gmz",
"timestamp": "07/13/2022 00:50:35",
"content": "probably should practice more algebra btw",
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"timestamp": "07/13/2022 00:50:40",
"content": "They just changed it to make it factorabke",
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"timestamp": "07/13/2022 00:56:19",
"content": ".close",
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},
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"id": 996641206354329600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 00:56:20",
"content": "Channel closed",
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}
] |
help-9
|
5ea416246eeb4ff0b91aea2d30289632
|
197,116 |
[
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"author_name": "Mathematics Bot",
"timestamp": "03/30/2022 09:56:41",
"content": "Available help channel!",
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},
{
"id": 958728396316225500,
"author_id": 197309459419234300,
"author_name": "Sam឵",
"timestamp": "03/30/2022 10:04:21",
"content": "I don't understand the second line, can anyone explain please",
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"timestamp": "03/30/2022 10:04:22",
"content": "Pinned a message.",
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"timestamp": "03/30/2022 10:19:22",
"content": "@Sam឵ Has your question been resolved?",
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"id": 958732801925083300,
"author_id": 245091211486953470,
"author_name": "1345631",
"timestamp": "03/30/2022 10:21:52",
"content": "It is partial differentiation twice wrt x. Use the chain rule",
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"id": 958737299561144400,
"author_id": 905022327471874000,
"author_name": "anhphan(g)",
"timestamp": "03/30/2022 10:39:44",
"content": "wow",
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"id": 958737318045438000,
"author_id": 905022327471874000,
"author_name": "anhphan(g)",
"timestamp": "03/30/2022 10:39:49",
"content": "it's kinda interesting",
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"timestamp": "03/30/2022 10:49:49",
"content": "@Sam឵ Has your question been resolved?",
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"timestamp": "03/30/2022 10:49:54",
"content": "Channel closed",
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] |
help-9
|
d67723de69fa4394836247f5d900d581
|
197,117 |
[
{
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"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 00:57:20",
"content": "Available help channel!",
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},
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"id": 996643062312869900,
"author_id": 689629411225764000,
"author_name": "rye",
"timestamp": "07/13/2022 01:03:42",
"content": "This isn't a very pressing issue necessary for a school assignment, but I am having unimaginable trouble fully understanding the logic behind the Monty Hall Problem's solution. \n\nI understand the conditions inside and out, and to conserve time, I'll explain the different examples I've heard to solve the Monty Hall Problem, and why I think they are incorrect. \n\nFirstly, the explanation that uses 100 doors instead of 3 helped for a second, but immediately, my first thought was, \"In the actual Monty Hall problem, the host only opens one door out of two possible doors, so it seems as though the overwhelming opening of 998 doors to 1 is incomparable to opening 1 of 2 doors.\"\n\nLastly, I've seen a diagram of the possibilities of the Monty Hall Problem, and how switching covers 2/3s of the wins. However, I would argue that there is a flaw in this. I will provide a photo of the diagram below, and my response to the first part of the diagram as I separate one possibility as two, which I believe is just in order to fairly consider every option as equal; thus, we find that switching or staying both have a 50% chance of winning.",
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"timestamp": "07/13/2022 01:03:43",
"content": "Pinned a message.",
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"id": 996643736866013200,
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"author_name": "rye",
"timestamp": "07/13/2022 01:06:23",
"content": "Also, many have argued that when Monty Hall opens one door, the 2/3 possibility of the car being behind one of the two doors somehow transfers over to the other door. This doesn't make sense to me, as I would argue that the third door with the goat behind it is meaningless, and offers no information. I believe it does increase your odds, but from what I can understand, it just becomes a 50/50.",
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"id": 996644717368451200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:10:17",
"content": "this is wrong",
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"author_name": "Deleted User",
"timestamp": "07/13/2022 01:10:33",
"content": "the first pic is correct tho",
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"id": 996644877586669600,
"author_id": 689629411225764000,
"author_name": "rye",
"timestamp": "07/13/2022 01:10:55",
"content": "Could you explain, please?",
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"id": 996645011334643700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:11:27",
"content": "you made 4 doors",
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"id": 996645168755257500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:12:05",
"content": "but put the treasure behind only 3 doors",
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"id": 996645333201334300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:12:44",
"content": "prize should go 1 2 3 4 not 1 1 2 3",
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"id": 996645385948909700,
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"author_name": "rye",
"timestamp": "07/13/2022 01:12:56",
"content": "I don't think you understand what the diagram is explaining",
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"timestamp": "07/13/2022 01:13:03",
"content": "Let me explain, one second",
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"timestamp": "07/13/2022 01:15:44",
"content": "There are only 3 doors. In my diagram 1, it shows all possibilities when you pick doors 1, 2, and 3, respectively. \"Choose\" means the door you have chosen, \"Prize\" shows the number of the door which has the prize behind it, and \"Open\" represents the door the host opens, revealing a goat. My argument in diagram 2 is that, as you can see in diagram 1, having \"2 or 3\" be put into one possibility is unfair, as it merges two separate possibilities into one. My diagram separates these two possibilities, and shows that the odds are 50/50.",
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"timestamp": "07/13/2022 01:17:17",
"content": "oh",
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"timestamp": "07/13/2022 01:17:21",
"content": "you're confusing it",
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"timestamp": "07/13/2022 01:17:41",
"content": "open 2/3 does not matter",
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"timestamp": "07/13/2022 01:17:46",
"content": "either works",
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"id": 996646861442134100,
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"timestamp": "07/13/2022 01:18:48",
"content": "it is rather vague",
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"id": 996646889514610800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:18:55",
"content": "but you can rewrite it and be sure",
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"id": 996647182730014700,
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"timestamp": "07/13/2022 01:20:05",
"content": "My friend said the same thing, but then one can argue that the final two possibilities shown in my diagram are also essentially the same thing. Ignoring the numerical values assigned to the doors, as you are doing when you say opening door 2 or 3 does not matter, we can see that in both examples, you choose a door, the prize is behind one of the other two doors, and monty opens one of the goat doors. Essentially, the same thing happens. In the end, if you want to consider the two sets of possibilities as one each, then the odds are, again, 50/50.",
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"timestamp": "07/13/2022 01:21:59",
"content": "change open 2/3 with 1",
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"id": 996647688034586800,
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"author_name": "Deleted User",
"timestamp": "07/13/2022 01:22:05",
"content": "and see how it works out",
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"author_name": "rye",
"timestamp": "07/13/2022 01:22:27",
"content": "Do you mean 1 as in \"open door 1\"?",
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"timestamp": "07/13/2022 01:22:34",
"content": "yes",
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"author_name": "rye",
"timestamp": "07/13/2022 01:23:10",
"content": "Well, the problem states that the host will only open doors with a goat behind it, so he can't open door 1 since it is my door AND the prize is behind it.",
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"id": 996648222384722000,
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"author_name": "rye",
"timestamp": "07/13/2022 01:24:13",
"content": "@Helpers",
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},
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"id": 996648231750615000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:24:15",
"content": "your diagram is confusing",
"attachments": [],
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},
{
"id": 996648258543816800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:24:21",
"content": "I get it now",
"attachments": [],
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},
{
"id": 996648341024813200,
"author_id": 689629411225764000,
"author_name": "rye",
"timestamp": "07/13/2022 01:24:41",
"content": "Well, it is identical to diagram 1. Theres only one change.",
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},
{
"id": 996648381793439900,
"author_id": 689629411225764000,
"author_name": "rye",
"timestamp": "07/13/2022 01:24:51",
"content": "But this is a very confusing problem.",
"attachments": [],
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},
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"id": 996648771846934700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:26:24",
"content": "your second diagram should have 6 outcomes not 4",
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"id": 996648810161909800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:26:33",
"content": "because you choose one door",
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},
{
"id": 996648824602894500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:26:36",
"content": "1 in 3",
"attachments": [],
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},
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"id": 996648850628563000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:26:42",
"content": "then you either switch or stay",
"attachments": [],
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},
{
"id": 996648913027219500,
"author_id": 689629411225764000,
"author_name": "rye",
"timestamp": "07/13/2022 01:26:57",
"content": "My diagram is only showing the possibilities of opening door 1, that's why.",
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"id": 996648976562528400,
"author_id": 689629411225764000,
"author_name": "rye",
"timestamp": "07/13/2022 01:27:12",
"content": "It would be applicable to the rest of them too.",
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},
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"id": 996649010645442700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:27:20",
"content": "1 in 2",
"attachments": [],
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},
{
"id": 996649042232754200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:27:28",
"content": "do you understand",
"attachments": [],
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},
{
"id": 996649118954946700,
"author_id": 689629411225764000,
"author_name": "rye",
"timestamp": "07/13/2022 01:27:46",
"content": "Explain.",
"attachments": [],
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},
{
"id": 996649260420431900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:28:20",
"content": "you choose either door 1 2 3",
"attachments": [],
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},
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"id": 996649291961606100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:28:28",
"content": "the goat door opens",
"attachments": [],
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},
{
"id": 996649342242930800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:28:40",
"content": "now you have the ability to switch or stay",
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},
{
"id": 996649375772201100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:28:48",
"content": "example",
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"id": 996649448472064000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:29:05",
"content": "suppose the goat door is 3",
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},
{
"id": 996649489513320400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:29:15",
"content": "you choose 1 then stay",
"attachments": [],
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},
{
"id": 996649517585793000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:29:21",
"content": "or choose 1 then switch",
"attachments": [],
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},
{
"id": 996649573156130800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:29:35",
"content": "apply this to door 2 and 3",
"attachments": [],
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},
{
"id": 996649892866953200,
"author_id": 689629411225764000,
"author_name": "rye",
"timestamp": "07/13/2022 01:30:51",
"content": "I have no idea why my diagram should have 6 possibilities. Can you tell me the two missing possibilities?",
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},
{
"id": 996649941525086200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:31:02",
"content": "I'll write it all",
"attachments": [],
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},
{
"id": 996649976312643700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:31:11",
"content": "2 and 3 have goats",
"attachments": [],
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},
{
"id": 996649996021665800,
"author_id": 689629411225764000,
"author_name": "rye",
"timestamp": "07/13/2022 01:31:15",
"content": "Thank you, I appreciate it",
"attachments": [],
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"reference": null
},
{
"id": 996650048865714200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:31:28",
"content": "choose 1 then stay",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996650074488721500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:31:34",
"content": "choose 1 then switch",
"attachments": [],
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"reference": null
},
{
"id": 996650093153357800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:31:39",
"content": "choose 2 then stay",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996650115488030700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:31:44",
"content": "choose 2 then switch",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996650134383366100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:31:48",
"content": "choose 3 then stay",
"attachments": [],
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},
{
"id": 996650157464617000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:31:54",
"content": "choose 3 then switch",
"attachments": [],
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},
{
"id": 996651188340666400,
"author_id": 689629411225764000,
"author_name": "rye",
"timestamp": "07/13/2022 01:36:00",
"content": "Your possibilities are missing some conditions. Firstly, it doesn't say which door you switch to, a goat door or the prize door? Also, my diagram is strictly showing the possibilities of picking door 1, so the possibilities you wrote down seem unrelated to my diagram.",
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},
{
"id": 996651337968267400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:36:35",
"content": "there is only 1 door you can switch to",
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},
{
"id": 996651339708907500,
"author_id": 689629411225764000,
"author_name": "rye",
"timestamp": "07/13/2022 01:36:36",
"content": "@Helpers",
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},
{
"id": 996651430079373400,
"author_id": 689629411225764000,
"author_name": "rye",
"timestamp": "07/13/2022 01:36:57",
"content": "Oh yes, that's my mistake.",
"attachments": [],
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"nickname": "Deleted User",
"isBot": false
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{
"id": 996651556814463000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:37:28",
"content": "and",
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},
{
"id": 996651573553930400,
"author_id": 689629411225764000,
"author_name": "rye",
"timestamp": "07/13/2022 01:37:32",
"content": "But again, my diagram only shows the possibilities of opening door 1, so the possibilities you wrote down are quite different to mine.",
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},
{
"id": 996651690507915300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:37:59",
"content": "I sidesteped the assumption that the prize changes position which is honestly unnecessary",
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},
{
"id": 996651803489878000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:38:26",
"content": "you can designate them doors a, b and c and change the prize location",
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},
{
"id": 996651948428230700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:39:01",
"content": "had the prize location changes you'd need 18 possibilities",
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},
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"author_name": "rye",
"timestamp": "07/13/2022 01:42:57",
"content": "So, and I hope this makes sense with your conditions, this is what I find:\n\nLet the prize be behind door 1.\n\nChoosing 1 and staying is a WIN.\nChoosing 1 and switching is a LOSS.\nChoosing 2 and staying is a LOSS.\nChoosing 2 and switching is a WIN.\nChoosing 3 and staying is a LOSS.\nChoosing 3 and switching is a WIN.",
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},
{
"id": 996652969657381000,
"author_id": 689629411225764000,
"author_name": "rye",
"timestamp": "07/13/2022 01:43:04",
"content": "It becomes 50/50, then.",
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},
{
"id": 996653004361060400,
"author_id": 689629411225764000,
"author_name": "rye",
"timestamp": "07/13/2022 01:43:13",
"content": "Three losses to three wins",
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},
{
"id": 996653070039654400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:43:28",
"content": "you're so close",
"attachments": [],
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},
{
"id": 996653131574288400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:43:43",
"content": "see how when you switch your chances at winning are 2/3",
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},
{
"id": 996653194371412000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:43:58",
"content": "but staying your chances are 1/3",
"attachments": [],
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},
{
"id": 996653271898935300,
"author_id": 689629411225764000,
"author_name": "rye",
"timestamp": "07/13/2022 01:44:16",
"content": "Do you see that in here?",
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},
{
"id": 996653320674488400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:44:28",
"content": "yes",
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},
{
"id": 996653379319238700,
"author_id": 689629411225764000,
"author_name": "rye",
"timestamp": "07/13/2022 01:44:42",
"content": "OH MY GOD",
"attachments": [],
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"reference": null
},
{
"id": 996653385732329500,
"author_id": 689629411225764000,
"author_name": "rye",
"timestamp": "07/13/2022 01:44:44",
"content": "THANK YOU",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996653392023785600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:44:45",
"content": "actually no but it does not matter",
"attachments": [],
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},
{
"id": 996653401167384600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 01:44:47",
"content": "np",
"attachments": [],
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},
{
"id": 996653584420704300,
"author_id": 689629411225764000,
"author_name": "rye",
"timestamp": "07/13/2022 01:45:31",
"content": ".close",
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},
{
"id": 996653586027118600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 01:45:31",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
76194319f011456980bdc14f9f8db661
|
197,118 |
[
{
"id": 996653838922698800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 01:46:32",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 996661003645354000,
"author_id": 258747298463350800,
"author_name": "+*",
"timestamp": "07/13/2022 02:15:00",
"content": "",
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{
"id": 996661007139213300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 02:15:01",
"content": "Pinned a message.",
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"channelId": 486844875632017400,
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}
},
{
"id": 996661010503061600,
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{
"id": 996661025053094000,
"author_id": 258747298463350800,
"author_name": "+*",
"timestamp": "07/13/2022 02:15:05",
"content": "is my work right",
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},
{
"id": 996664801394696200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 02:30:05",
"content": "@+* Has your question been resolved?",
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"timestamp": "07/13/2022 02:45:06",
"content": "Channel closed",
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}
] |
help-9
|
8ac69c03175340f79fd0f09b23ef16ea
|
197,119 |
[
{
"id": 996668829004468400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 02:46:06",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 996670307261743100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 02:51:58",
"content": "Pinned a message.",
"attachments": [],
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{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 03:07:06",
"content": "@sushi Has your question been resolved?",
"attachments": [],
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},
{
"id": 996677777434615800,
"author_id": 378819519725961200,
"author_name": "ninjahuman",
"timestamp": "07/13/2022 03:21:39",
"content": "@sushi Have you tried looking at what happens to the standard basis vectors (1,0) and (0,1) under each linear transformation? This is a useful way to find each matrix under that basis",
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"id": 996678013649424500,
"author_id": 378819519725961200,
"author_name": "ninjahuman",
"timestamp": "07/13/2022 03:22:35",
"content": "Yes. Take a 2d graph and take the x-axis as the first component and the y-axis as the second component",
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"id": 996678056154509300,
"author_id": 378819519725961200,
"author_name": "ninjahuman",
"timestamp": "07/13/2022 03:22:45",
"content": "Now look at what happens to (1,0) and (0,1)",
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},
{
"id": 996678183845888100,
"author_id": 378819519725961200,
"author_name": "ninjahuman",
"timestamp": "07/13/2022 03:23:16",
"content": "Like if you have (1,0) on this 2d graph and you rotate it pi/2 radians anticlockwise, where will the point end up?",
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},
{
"id": 996678352247210000,
"author_id": 266681067732336640,
"author_name": "_gmz",
"timestamp": "07/13/2022 03:23:56",
"content": "the basis vector (1, 0) goes to whatever coordinates the first column of the matrix is",
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"id": 996678421000233000,
"author_id": 266681067732336640,
"author_name": "_gmz",
"timestamp": "07/13/2022 03:24:12",
"content": "so for A. (1, 0) goes to (-1, 0); and (0, 1) goes to (0, 1)",
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"timestamp": "07/13/2022 03:24:55",
"content": "in general if i have a matrix $\\begin{pmatrix} a & b \\\\ c & d \\end{pmatrix}$",
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"id": 996678608707911700,
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"author_name": "TeXit",
"timestamp": "07/13/2022 03:24:57",
"content": "**\\_gmz**",
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"timestamp": "07/13/2022 03:25:09",
"content": "(1, 0) goes to (a, c); (0, 1) goes to (b, d)",
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"author_name": "ninjahuman",
"timestamp": "07/13/2022 03:25:31",
"content": "These matrices are describing the linear transformation with respect to the standard basis of R^2",
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"content": "So you can look at what happens under the standard basis to determine the matrix of the linear transformation",
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"content": "i like to read a matrix as telling the basis vectors where to go, in terms of their old selves",
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"content": "Like for example, here x=2 and y=1",
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"content": "And this point can be represented as (2,1)",
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"content": "This is just a point being represented by the coordinates",
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"timestamp": "07/13/2022 03:36:19",
"content": "A matrix should describe some kind of transformation",
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"timestamp": "07/13/2022 03:36:49",
"content": "You can look at what happens to (1,0) and (0,1) to see what the matrix should be",
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"timestamp": "07/13/2022 03:37:25",
"content": "Then in terms of those coordinates you have the first column of the matrix as the coordinates of T(1,0)",
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"timestamp": "07/13/2022 03:37:36",
"content": "And the second column of the matrix as the coordinates of T(0,1)",
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"timestamp": "07/13/2022 03:37:57",
"content": "So let's work through the first example",
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"author_name": "ninjahuman",
"timestamp": "07/13/2022 03:38:38",
"content": "If you take the point (1,0) and perform that transformation (rotating it pi/2 radians counter-clockwise), where does the point go?",
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"id": 996682239427489900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/13/2022 03:39:23",
"content": "https://www.youtube.com/watch?v=kYB8IZa5AuE",
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"id": 996682262710059000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/13/2022 03:39:28",
"content": "i linked this earlier",
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"author_name": "_gmz",
"timestamp": "07/13/2022 03:42:49",
"content": ":this: this is essentially what all of us were talking about",
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"id": 996684785030271000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/13/2022 03:49:30",
"content": "do you understand the concept of \"the matrix of a linear map encodes where the map sends i-hat and j-hat\"",
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},
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"author_name": "_gmz",
"timestamp": "07/13/2022 03:51:17",
"content": "are you sure you've watched the full video?",
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"id": 996686443516801000,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/13/2022 03:56:05",
"content": "find where each map sends i & j",
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"id": 996686519664386000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/13/2022 03:56:23",
"content": "Tbf in this case you can also do it backwards. For each matrix check what the linear transformation is and if that agrees with one of the descriptions",
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"id": 996687413424427000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/13/2022 03:59:56",
"content": "may i suggest that you make _pictures_",
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"id": 996687446874013700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/13/2022 04:00:04",
"content": "and follow the descriptions _graphically_",
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"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/13/2022 04:00:05",
"content": "perform each action specified by 1-6 on i",
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},
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"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/13/2022 04:00:14",
"content": "do the same for j",
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"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 04:28:58",
"content": "@sushi Has your question been resolved?",
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"timestamp": "07/13/2022 04:29:02",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
775cdf320ebe4b97860cf6fb48165e4e
|
197,120 |
[
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"timestamp": "07/13/2022 07:58:41",
"content": "Available help channel!",
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"content": "How would I complete this?",
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"author_id": 887271604680290300,
"author_name": "PraMad10 [ARCANNIAN]",
"timestamp": "07/13/2022 08:07:53",
"content": "?",
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"timestamp": "07/13/2022 08:08:09",
"content": "my exact thoughts lol",
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"timestamp": "07/13/2022 08:14:53",
"content": "For a quadratic to have only one real root the discriminant has to be 0.",
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"content": "Okay - so it has to be 0?",
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"timestamp": "07/13/2022 08:16:42",
"content": "b^2 - 4ac has to be 0",
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"timestamp": "07/13/2022 08:25:19",
"content": ".close",
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"content": "Channel closed",
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help-9
|
d7e1fb61ea7d4438b0b518fcfbf9896a
|
197,121 |
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"content": "just those 3",
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"content": "@Amefr Has your question been resolved?",
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help-9
|
fae1ec30e4a246e296155a29d6385988
|
197,122 |
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help-9
|
79d66f29edb440698680f1b13bb627ac
|
197,123 |
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"id": 996770505929535500,
"author_id": 285165911424499700,
"author_name": "seif",
"timestamp": "07/13/2022 09:30:07",
"content": "@Amefr first is sin(3pi/5)=0,95 cos(3pi/5)=-0,3",
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"id": 996772479383126000,
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"author_name": "Chubby_Gu",
"timestamp": "07/13/2022 09:37:58",
"content": "Another question for god's sake, can someone help me with this inequality: -4/(x+14) - (-1)/2x >0",
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"content": "Pinned a message.",
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"content": "treat it as equality",
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"id": 996772678411223000,
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"timestamp": "07/13/2022 09:38:45",
"content": "then just change = to >",
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"content": "wdym?",
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"timestamp": "07/13/2022 09:39:16",
"content": "treat it as -4/x+14 - (-1)/2x =0",
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{
"id": 996772850486739000,
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"author_name": "seif",
"timestamp": "07/13/2022 09:39:26",
"content": "after u found x=...",
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"id": 996772867846975500,
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"author_name": "seif",
"timestamp": "07/13/2022 09:39:30",
"content": "change = to >",
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"id": 996772883298791400,
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"timestamp": "07/13/2022 09:39:34",
"content": "it will be x>...",
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"id": 996772911710998700,
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"author_name": "Chubby_Gu",
"timestamp": "07/13/2022 09:39:41",
"content": "that is the problem XD I cant find x",
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"id": 996772966232772700,
"author_id": 986472621845667800,
"author_name": "Chubby_Gu",
"timestamp": "07/13/2022 09:39:54",
"content": "I am stuck",
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"id": 996772968233447400,
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"timestamp": "07/13/2022 09:39:54",
"content": "can u get picture",
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"id": 996773008586842100,
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"author_name": "Chubby_Gu",
"timestamp": "07/13/2022 09:40:04",
"content": "I cant I am on my computer",
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"id": 996773027842896000,
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"content": "ok",
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"id": 996773093248872400,
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"author_name": "Denascite",
"timestamp": "07/13/2022 09:40:24",
"content": "$-\\frac{4}{x} + 14 - \\frac{-1}{2x} > 0$",
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"id": 996773099104108500,
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"content": "this?",
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"timestamp": "07/13/2022 09:40:26",
"content": "**Denascite**",
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"timestamp": "07/13/2022 09:42:28",
"content": "no, the deno is (x+14)",
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"timestamp": "07/13/2022 09:42:42",
"content": "$-\\frac{4}{x+14} - \\frac{-1}{2x} > 0$",
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"timestamp": "07/13/2022 09:42:43",
"content": "then you should write brackets around that",
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"content": "**seif**",
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"timestamp": "07/13/2022 09:42:54",
"content": "this?",
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"timestamp": "07/13/2022 09:43:00",
"content": "yup",
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"timestamp": "07/13/2022 09:43:16",
"content": "multiply each other with 2x and x+14",
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"timestamp": "07/13/2022 09:43:24",
"content": "did that",
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"timestamp": "07/13/2022 09:43:30",
"content": "I expanded",
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"timestamp": "07/13/2022 09:43:33",
"content": "show me what u got",
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"author_name": "Chubby_Gu",
"timestamp": "07/13/2022 09:45:10",
"content": "after I expanded, I ended up with (-8x + x + 14) /(x+14)(2x)",
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"timestamp": "07/13/2022 09:45:29",
"content": "$(-8x + x + 14) /(x+14)(2x)$",
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"timestamp": "07/13/2022 09:45:31",
"content": "**seif**",
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"content": "yup",
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"author_name": "Chubby_Gu",
"timestamp": "07/13/2022 09:48:25",
"content": "Then I collected the like terms, and ended up with (-7x + 14) / (x+14)(2x)",
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"timestamp": "07/13/2022 09:49:13",
"content": "I factored out seven, -7(x-2) / (x+14)(2x)",
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"author_name": "Chubby_Gu",
"timestamp": "07/13/2022 09:49:19",
"content": "what do I do next?",
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"author_id": 986472621845667800,
"author_name": "Chubby_Gu",
"timestamp": "07/13/2022 09:49:31",
"content": "I feel like I did something wrong",
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},
{
"id": 996779163941863600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 10:04:31",
"content": "@Chubby_Gu Has your question been resolved?",
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"content": "@Chubby_Gu Has your question been resolved?",
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"timestamp": "07/13/2022 11:06:15",
"content": "Channel closed",
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}
] |
help-9
|
3bf35236625b470380def06c872d388e
|
197,124 |
[
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"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 11:07:15",
"content": "Available help channel!",
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},
{
"id": 996796125598191600,
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"content": "Pinned a message.",
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"timestamp": "07/13/2022 11:12:31",
"content": "I have no idea where to start",
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"id": 996796664230719500,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "07/13/2022 11:14:04",
"content": "recall the remainder theorem (<https://en.wikipedia.org/wiki/Polynomial_remainder_theorem>). If you apply this to the two factors, then you should get two equations in the two unknowns a,b",
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"id": 996798095646003200,
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"timestamp": "07/13/2022 11:19:45",
"content": "So if f(x)/(x-3)and the remainder is 25a, then f(3)=25a?",
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"id": 996798236914368600,
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"timestamp": "07/13/2022 11:20:19",
"content": "yes",
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"id": 996798341620961300,
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"author_name": "alvan",
"timestamp": "07/13/2022 11:20:44",
"content": "Then i input 3 into x",
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"id": 996798379055124500,
"author_id": 687954242429780000,
"author_name": "alvan",
"timestamp": "07/13/2022 11:20:53",
"content": "Right?",
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"id": 996798731867394000,
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"timestamp": "07/13/2022 11:22:17",
"content": "yup",
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"timestamp": "07/13/2022 11:24:02",
"content": "Um... I calculated that 2a+b+3=0...",
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"timestamp": "07/13/2022 11:24:38",
"content": "yup, that looks right",
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"timestamp": "07/13/2022 11:24:44",
"content": "now do the same with (2x-1)",
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"timestamp": "07/13/2022 11:24:59",
"content": "How",
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"timestamp": "07/13/2022 11:25:26",
"content": "the remainder is 0, and you would substitute x=1/2",
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"timestamp": "07/13/2022 11:25:34",
"content": "Yes",
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"timestamp": "07/13/2022 11:26:33",
"content": "Then input 1/2 to x again",
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"id": 996799814165598200,
"author_id": 687954242429780000,
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"timestamp": "07/13/2022 11:26:35",
"content": "?",
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"timestamp": "07/13/2022 11:26:41",
"content": "yes",
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"author_name": "alvan",
"timestamp": "07/13/2022 11:28:37",
"content": "(a/8)+b+6.75",
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"id": 996800443374129300,
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"author_name": "alvan",
"timestamp": "07/13/2022 11:29:05",
"content": "Which equals this?",
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"timestamp": "07/13/2022 11:30:27",
"content": "it equals the remainder=0",
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"timestamp": "07/13/2022 11:30:43",
"content": "then solve the system of two linear equations",
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"id": 996801149233533000,
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"timestamp": "07/13/2022 11:31:53",
"content": "How ?",
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"id": 996801340976140300,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "07/13/2022 11:32:39",
"content": "rearrange the first equation to get b=something, then substitute it into the b in the second equation",
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"id": 996801458060140500,
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"timestamp": "07/13/2022 11:33:07",
"content": "Ok",
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"id": 996802058567041000,
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"author_name": "alvan",
"timestamp": "07/13/2022 11:35:30",
"content": "a=2,b=-7",
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{
"id": 996802410662076400,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "07/13/2022 11:36:54",
"content": ",w roots 2x^3-5x^2+16x-7",
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"id": 996802423010103400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/13/2022 11:36:57",
"content": "Results provided by WolframAlpha",
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"id": 996802564882436100,
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"author_name": "alvan",
"timestamp": "07/13/2022 11:37:31",
"content": ":OhNo_cat:",
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"timestamp": "07/13/2022 11:37:43",
"content": "looks fine",
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"author_name": "alvan",
"timestamp": "07/13/2022 11:38:26",
"content": "The \"results\" are kinda complicated",
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"id": 996802898816143400,
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"author_name": "Toby",
"timestamp": "07/13/2022 11:38:50",
"content": "it was just me checking your answer, you can ignore that",
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"id": 996803018785833100,
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"timestamp": "07/13/2022 11:39:19",
"content": "Ok",
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},
{
"id": 996803131432243200,
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"author_name": "alvan",
"timestamp": "07/13/2022 11:39:46",
"content": "So what 14b asking",
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"author_name": "Toby",
"timestamp": "07/13/2022 11:40:34",
"content": "its asking for the number of integral roots, which I think means roots that are integers",
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"id": 996803421577429000,
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"timestamp": "07/13/2022 11:40:55",
"content": "we already know one root 1/2, which is not integral",
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"timestamp": "07/13/2022 11:41:32",
"content": "then to find the other two roots, you can either use polynomial division or note that the product of the roots is b=7",
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"id": 996804160529891500,
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"author_name": "alvan",
"timestamp": "07/13/2022 11:43:51",
"content": "I dont understand",
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},
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"id": 996804470589620200,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "07/13/2022 11:45:05",
"content": "which part do you not understand?",
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{
"id": 996804713016201200,
"author_id": 687954242429780000,
"author_name": "alvan",
"timestamp": "07/13/2022 11:46:03",
"content": "What is root",
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{
"id": 996804805181841400,
"author_id": 687954242429780000,
"author_name": "alvan",
"timestamp": "07/13/2022 11:46:25",
"content": "A possible number of x?",
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"id": 996804949071630500,
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"author_name": "Toby",
"timestamp": "07/13/2022 11:46:59",
"content": "a root is a value m such that f(m)=0",
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"id": 996805311526617100,
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"author_name": "alvan",
"timestamp": "07/13/2022 11:48:26",
"content": "So if f(1/2)=0 then 1/2 is a root",
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"id": 996805334532374700,
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"timestamp": "07/13/2022 11:48:31",
"content": "yes",
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},
{
"id": 996805437410259000,
"author_id": 687954242429780000,
"author_name": "alvan",
"timestamp": "07/13/2022 11:48:56",
"content": "Then what integral mean",
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{
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"timestamp": "07/13/2022 11:49:16",
"content": "I would say it means integer, but its probably worth double checking your notes",
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"timestamp": "07/13/2022 11:50:41",
"content": "they probably want you to use the rational root theorem <https://en.wikipedia.org/wiki/Rational_root_theorem>",
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"id": 996806613635711200,
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"author_name": "alvan",
"timestamp": "07/13/2022 11:53:36",
"content": "How can i find the root(s)?",
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},
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"id": 996806659999543300,
"author_id": 687954242429780000,
"author_name": "alvan",
"timestamp": "07/13/2022 11:53:47",
"content": "Let x be 0?",
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},
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"id": 996806854879498200,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "07/13/2022 11:54:33",
"content": "no",
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"id": 996806879378427900,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "07/13/2022 11:54:39",
"content": "solve f(x)=0",
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},
{
"id": 996806970491273300,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "07/13/2022 11:55:01",
"content": "but this is hard using elementary means",
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},
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"id": 996807058806550500,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "07/13/2022 11:55:22",
"content": "so if you know either the rational root theorem, or how to do polynomial division, then it would be easier",
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},
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"id": 996807201706483700,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "07/13/2022 11:55:56",
"content": "otherwise, we can use the fact that f(x)=(2x-1)(x-p)(x-q) for roots p,q and compare coefficients to the constant",
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},
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"id": 996807425078341800,
"author_id": 687954242429780000,
"author_name": "alvan",
"timestamp": "07/13/2022 11:56:49",
"content": "Oh i try",
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},
{
"id": 996808728256975000,
"author_id": 687954242429780000,
"author_name": "alvan",
"timestamp": "07/13/2022 12:02:00",
"content": "Ok i get it now",
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},
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"id": 996809101013176300,
"author_id": 687954242429780000,
"author_name": "alvan",
"timestamp": "07/13/2022 12:03:29",
"content": "Thank you very much 🥰",
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},
{
"id": 996809134034911400,
"author_id": 687954242429780000,
"author_name": "alvan",
"timestamp": "07/13/2022 12:03:37",
"content": ".close",
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},
{
"id": 996809135515508700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 12:03:37",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
35a05a1d8b2a4a90a2e8ba12f7dce0a1
|
197,125 |
[
{
"id": 996809388918571100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 12:04:38",
"content": "Available help channel!",
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"reference": null
},
{
"id": 996809721891782700,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "07/13/2022 12:05:57",
"content": "https://cdn.discordapp.com/attachments/929325559782182932/996751468491198474/Skarmbild_12.png",
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"timestamp": "07/13/2022 12:05:58",
"content": "Pinned a message.",
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"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "07/13/2022 12:06:14",
"content": "Am I crazy for thinking -5<-x = 5>x?",
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},
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"id": 996810357345620100,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "07/13/2022 12:08:29",
"content": "(too lazy to OCR and give the translation)",
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},
{
"id": 996810379088908300,
"author_id": 177516015033384960,
"author_name": "aPlatypus",
"timestamp": "07/13/2022 12:08:34",
"content": "wait wtf",
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},
{
"id": 996810428447461400,
"author_id": 177516015033384960,
"author_name": "aPlatypus",
"timestamp": "07/13/2022 12:08:45",
"content": "sounds like they typo'd yeah",
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},
{
"id": 996810672950235400,
"author_id": 177516015033384960,
"author_name": "aPlatypus",
"timestamp": "07/13/2022 12:09:44",
"content": "why would they say -5 < -x is equivalent and not equivalent to 5 < x",
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},
{
"id": 996810688599183500,
"author_id": 177516015033384960,
"author_name": "aPlatypus",
"timestamp": "07/13/2022 12:09:48",
"content": "that makes no sense",
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"id": 996810994460409900,
"author_id": 177516015033384960,
"author_name": "aPlatypus",
"timestamp": "07/13/2022 12:11:00",
"content": "@AuHasard",
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"timestamp": "07/13/2022 12:12:00",
"content": "thanks",
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"id": 996811255018967200,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "07/13/2022 12:12:03",
"content": ".close",
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},
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"id": 996811256830885900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 12:12:03",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
48e14c1793d24c55a26e05a82dc9a38b
|
197,126 |
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"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 12:16:00",
"content": "Available help channel!",
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},
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"id": 996815465559105500,
"author_id": 299357465236078600,
"author_name": "Epsilon",
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"content": "",
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"content": "Pinned a message.",
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"id": 996815608089948300,
"author_id": 299357465236078600,
"author_name": "Epsilon",
"timestamp": "07/13/2022 12:29:20",
"content": "so ik I need to show",
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"id": 996815688142442600,
"author_id": 299357465236078600,
"author_name": "Epsilon",
"timestamp": "07/13/2022 12:29:39",
"content": "J_delta(a) is a subset of f<-(J_e(f(a))",
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"author_id": 983597597786783900,
"author_name": "BenJr",
"timestamp": "07/13/2022 12:33:51",
"content": "Maybe try showing $$\\lim_{x\\to 0^+}\\sin\\left(\\frac{1}{x}\\right) \\neq 0$$",
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"timestamp": "07/13/2022 12:33:54",
"content": "**BenJr**",
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"author_name": "BenJr",
"timestamp": "07/13/2022 12:34:44",
"content": "I can’t make out what you just said properly.",
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"author_name": "Epsilon",
"timestamp": "07/13/2022 12:34:56",
"content": "yea thats the standard way",
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"id": 996817022707048400,
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"author_name": "Epsilon",
"timestamp": "07/13/2022 12:34:58",
"content": "let me show u",
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"id": 996817038888677500,
"author_id": 299357465236078600,
"author_name": "Epsilon",
"timestamp": "07/13/2022 12:35:02",
"content": "what i need to do",
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"author_name": "Epsilon",
"timestamp": "07/13/2022 12:35:35",
"content": "@BenJr",
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"timestamp": "07/13/2022 12:35:46",
"content": "i need to use this proposition",
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"timestamp": "07/13/2022 12:36:37",
"content": "Ok, that makes sense.",
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"author_name": "Epsilon",
"timestamp": "07/13/2022 12:36:49",
"content": "so basically i need to select an epsilon where i cannot find a delta>0 st the condition is satisfied",
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"author_name": "Epsilon",
"timestamp": "07/13/2022 12:37:01",
"content": "this oscillating nature of the function is tripping me up tho",
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"timestamp": "07/13/2022 12:38:52",
"content": "Yeah, for x > 0 close to 0, it’s has awful oscillation, but notice if the limit did exist we have f would be tending towards 0 at some point. But it’s not, so you can basically pick any 0 < epsilon < 1.",
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"timestamp": "07/13/2022 12:40:57",
"content": "ok so i chose e=1/2",
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"timestamp": "07/13/2022 12:41:46",
"content": "Ok, now we have showing e = 1/2, can you show we can’t find a delta > 0.",
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"timestamp": "07/13/2022 12:42:04",
"content": "yea im kinda stuck there",
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"author_name": "Epsilon",
"timestamp": "07/13/2022 12:46:09",
"content": "so basically i need to find the domain which yields (-1/2,1/2)",
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"timestamp": "07/13/2022 12:48:19",
"content": "We’re trying to prove it’s not continuous. So not matter what rhs delta neighborhood of 0 we can find a point in that rhs delta neighborhood that’s not in that epsilon neighborhood.",
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"timestamp": "07/13/2022 12:48:48",
"content": "This here.",
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"timestamp": "07/13/2022 12:49:51",
"content": "For x close to 0, f oscillations badly. The amplitude for f at that point is 1.",
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"timestamp": "07/13/2022 12:50:03",
"content": "Looking at the sin(1/x).",
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"timestamp": "07/13/2022 12:51:14",
"content": "The period will start decreasing rapidly(compressing) but the amplitude would still be 1.",
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"timestamp": "07/13/2022 13:01:09",
"content": "@Epsilon Has your question been resolved?",
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"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:02:43",
"content": "Another way of saying it: you have an epsilon. Now show that, no matter what delta you pick, it is false that J_delta(0) is a subset of f<-(J_epsilon(f(0)).",
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"author_name": "Epsilon",
"timestamp": "07/13/2022 13:02:54",
"content": "yeah exactly",
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"timestamp": "07/13/2022 13:03:01",
"content": "i think the part im confused on is the inverse",
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"timestamp": "07/13/2022 13:04:28",
"content": "I think it is (-1.91,1.91)",
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"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:04:35",
"content": "So. To be false, there must exist a point p in J_delta (0), i.e. a point between -delta and delta, such that p is not in f<-(J_epsilon(f(0))",
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"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:05:16",
"content": "This sounds like you're barking up the wrong tree. Don't get hung up on the inverse, it'll turn out to be easy.",
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"timestamp": "07/13/2022 13:05:44",
"content": "but clearly there is some neighborhood centered around 0 that is a subset of this",
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"timestamp": "07/13/2022 13:06:23",
"content": "maybe i am thinkig about this incorrectly",
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"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:07:01",
"content": "If you mean that f<-(J_epsilon(0)) is (-1.91, 1.91), then that's definitely wrong.",
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"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:07:46",
"content": "Again, don't worry about the inverse. We don't need to say exactly what set f<-(J_epsilon(0)) is.",
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"timestamp": "07/13/2022 13:08:48",
"content": "First, think about this, make sure it makes sense (again, not worrying about exactly what set f<-(blah) is).",
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"timestamp": "07/13/2022 13:09:14",
"content": "this makes complete sense",
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"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:09:59",
"content": "Great! Then we should ask: what would it mean for p to be in f<-(blah)?",
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"id": 996826275182297100,
"author_id": 299357465236078600,
"author_name": "Epsilon",
"timestamp": "07/13/2022 13:11:44",
"content": "there is some f(p) such that it is in blah",
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"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:12:38",
"content": "Yeah. p is in f<-(blah) if and only if f(p) is in blah.",
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"timestamp": "07/13/2022 13:13:49",
"content": "oh",
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"author_name": "Epsilon",
"timestamp": "07/13/2022 13:14:06",
"content": "nvm",
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"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:14:11",
"content": "So. We need to show, whatever delta we pick, there is some point p between -delta and delta, such that sin(1/p) is NOT in (-1/2, 1/2)",
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"author_name": "Epsilon",
"timestamp": "07/13/2022 13:14:18",
"content": "yes",
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"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:16:50",
"content": "Let's aim for sin(1/p) being 1. What are the numbers x with sin(x) = 1?",
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"author_name": "Epsilon",
"timestamp": "07/13/2022 13:18:16",
"content": "pi/2",
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},
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"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:18:34",
"content": "That's one of them. Bigger ones too?",
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"id": 996828116519506000,
"author_id": 299357465236078600,
"author_name": "Epsilon",
"timestamp": "07/13/2022 13:19:03",
"content": "pi/2 + 2n * pi",
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"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:19:49",
"content": "Yeah! And choosing n large, we can make that number as big as we want... Meaning one over that is as small as we want.",
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"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:20:12",
"content": "Smaller than delta, even.",
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"author_name": "Epsilon",
"timestamp": "07/13/2022 13:21:59",
"content": "oh i see",
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"author_name": "Epsilon",
"timestamp": "07/13/2022 13:22:25",
"content": "wow thank you so much",
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},
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"id": 996829051274670300,
"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:22:46",
"content": "Awesome! That clicked ya?",
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"author_id": 299357465236078600,
"author_name": "Epsilon",
"timestamp": "07/13/2022 13:23:02",
"content": "it did! one more thing though suppose i want to find f<-(J_0.5(0))",
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"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:24:06",
"content": "Ok.. first, notice you already answered a question like that... You told me what f<-({1}) is.",
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"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:24:31",
"content": "Oh wait no you didn't, one sec.",
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"author_name": "Epsilon",
"timestamp": "07/13/2022 13:24:40",
"content": "",
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"author_name": "Epsilon",
"timestamp": "07/13/2022 13:24:48",
"content": "i thought it would just be like that",
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"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:26:56",
"content": "Here's what we can do. sin(x) is between -0.5 and 0.5 whenever x is between -pi/6 and pi/6, or that interval shifted by any multiple of two pi.",
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"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:28:10",
"content": "So sin(1/x) is between -0.5 and 0.5 whenever 1/x is in one of those intervals I just mentioned above.",
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"id": 996830721203261400,
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"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:29:24",
"content": "And that's the same as saying x is in \"one over\" one of those intervals, if that makes sense.",
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"author_name": "Epsilon",
"timestamp": "07/13/2022 13:30:04",
"content": "right",
"attachments": [],
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"id": 996831201849516000,
"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:31:18",
"content": "I.e the intervals (1/(2n pi + pi/6), 1/(2n pi - pi/6)), and (6/pi, infinity), etc.",
"attachments": [],
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"id": 996831240600699000,
"author_id": 299357465236078600,
"author_name": "Epsilon",
"timestamp": "07/13/2022 13:31:27",
"content": "yes",
"attachments": [],
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},
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"id": 996831337786904700,
"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:31:51",
"content": "Bleh. Better to solve the problem without that nonsense though!",
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"author_name": "Epsilon",
"timestamp": "07/13/2022 13:32:29",
"content": "yea the way i had solved previous questions was finding the inverse and showing there was no intersection",
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"id": 996831527113605200,
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"author_name": "Epsilon",
"timestamp": "07/13/2022 13:32:36",
"content": "but clearly in this case that was not a good idea",
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"id": 996831760459518100,
"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:33:31",
"content": "Btw, I've never seen it written f<-(blah) before. Usually it's f^-1(blah).",
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"id": 996831815669137400,
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"author_name": "Epsilon",
"timestamp": "07/13/2022 13:33:45",
"content": "thank you for spending a lot of time helping me this section was challenging for me but i understand it now",
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},
{
"id": 996831831871721600,
"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:33:48",
"content": "Where is your textbook/ class material from?",
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},
{
"id": 996831969918844900,
"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:34:21",
"content": "Yeah no worries, glad to help. :)",
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{
"id": 996831985194516500,
"author_id": 299357465236078600,
"author_name": "Epsilon",
"timestamp": "07/13/2022 13:34:25",
"content": "im just self studying this book",
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},
{
"id": 996831988705132700,
"author_id": 299357465236078600,
"author_name": "Epsilon",
"timestamp": "07/13/2022 13:34:26",
"content": "https://web.pdx.edu/~erdman/PTAC/problemtext_pdf.pdf",
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"id": 996832032581767300,
"author_id": 299357465236078600,
"author_name": "Epsilon",
"timestamp": "07/13/2022 13:34:36",
"content": "i heard its a good preparation for analysis",
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},
{
"id": 996832064173244500,
"author_id": 299357465236078600,
"author_name": "Epsilon",
"timestamp": "07/13/2022 13:34:44",
"content": "i rly enjoy it so far",
"attachments": [],
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},
{
"id": 996832426217185400,
"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:36:10",
"content": "Huh, nice! Yeah looks good. Wonder why the weird notation, but doesn't really matter.",
"attachments": [],
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},
{
"id": 996832893009662100,
"author_id": 983597597786783900,
"author_name": "BenJr",
"timestamp": "07/13/2022 13:38:01",
"content": "This picture was what I was trying to convey but failed.",
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"id": 996832945052586100,
"author_id": 983597597786783900,
"author_name": "BenJr",
"timestamp": "07/13/2022 13:38:14",
"content": "Here.",
"attachments": [],
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},
{
"id": 996834441374736400,
"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "07/13/2022 13:44:11",
"content": "Analysis, and the stuff in that book, are a great into to thinking mathematically. Nice that it's heavy on exercises too.",
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},
{
"id": 996834977293549600,
"author_id": 299357465236078600,
"author_name": "Epsilon",
"timestamp": "07/13/2022 13:46:18",
"content": "👍 thanks again",
"attachments": [],
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},
{
"id": 996834986873344100,
"author_id": 299357465236078600,
"author_name": "Epsilon",
"timestamp": "07/13/2022 13:46:21",
"content": ".close",
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},
{
"id": 996834988165185700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 13:46:21",
"content": "Channel closed",
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}
] |
help-9
|
9fad932629ce46de8670725c4f97d895
|
197,127 |
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"timestamp": "03/30/2022 10:50:55",
"content": "Available help channel!",
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},
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"content": "Pinned a message.",
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"content": ".close",
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help-9
|
e388efe252fc4bdc9573a76a442ae71e
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197,128 |
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"content": "Available help channel!",
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help-9
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2d399ed51f334fc9872779d385a654ca
|
197,129 |
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"id": 996839418272960500,
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"author_name": "Cubopia",
"timestamp": "07/13/2022 14:03:57",
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"author_name": "Cubopia",
"timestamp": "07/13/2022 14:04:13",
"content": "how do you do that?",
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"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/13/2022 14:05:37",
"content": "set z=3^y. then try to write the entire equation using z",
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"id": 996840343150547200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/13/2022 14:07:38",
"content": "well either way you'll have to add or subtract some stuff in an exponent",
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"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "07/13/2022 14:08:04",
"content": "Yeah, you're right",
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"author_name": "Kohlemaennchen",
"timestamp": "07/13/2022 14:08:44",
"content": "It seems to be more intuitiv at first, but it doesn't matter",
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"content": "Available help channel!",
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"id": 996844369816600700,
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"author_name": "Deleted User",
"timestamp": "07/13/2022 14:23:38",
"content": "Find the matrix A' for T relative to B'\nT: R^2 -> R^2, T(x,y) = (-3x+y, 3x-y)\nB' = {(1,-1), (-1,5)}\n\nWhat I have done: \nP: [1 -1]\n [-1 5]\nP^-1 : [5/4 1/4]\n [1/4 1/4]\n\nA^-1 = P^-1 * A * P = [5/4 1/4] [-3 3] [1 -1] \n [1/4 1/4] [1 -1] [-1 5] \n\nWhich equals to \n[-7 21]\n[-1 3]\n\nThe correct answer is supposed to be\n[-4 8]\n[0 0]\n\nWhat am I doing wrong?",
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"content": "Pinned a message.",
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"timestamp": "07/13/2022 14:38:38",
"content": "@Deleted User Has your question been resolved?",
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"timestamp": "07/13/2022 14:40:25",
"content": "@Helpers",
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"id": 996848975443411100,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/13/2022 14:41:56",
"content": "it should be P * A * P^-1 probably",
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"author_name": "Eric Tao",
"timestamp": "07/13/2022 14:42:00",
"content": "@Deleted User",
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"author_name": "Eric Tao",
"timestamp": "07/13/2022 14:42:19",
"content": "the P^-1 converts from basis B' to the standard basis, then you apply A, then P converts the result back to basis B'",
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"timestamp": "07/13/2022 14:42:44",
"content": "My formula book says its the correct formula..",
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"author_name": "Eric Tao",
"timestamp": "07/13/2022 14:44:00",
"content": "what is P in this case?",
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"author_name": "Deleted User",
"timestamp": "07/13/2022 14:44:12",
"content": "B' in matrix form",
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"author_name": "Eric Tao",
"timestamp": "07/13/2022 14:44:13",
"content": "is that the matrix converting from B to B'?",
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"timestamp": "07/13/2022 14:44:32",
"content": "or from B' to B?",
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"author_name": "Eric Tao",
"timestamp": "07/13/2022 14:44:50",
"content": "likely in this example it's the matrix converting from B' to B",
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"author_name": "Deleted User",
"timestamp": "07/13/2022 14:45:06",
"content": "Oh",
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"timestamp": "07/13/2022 14:45:11",
"content": "lemme check",
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"timestamp": "07/13/2022 14:45:32",
"content": "yeah it is",
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"timestamp": "07/13/2022 14:45:45",
"content": "I would recommend, don't worry about memorizing the formulas",
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"author_name": "Eric Tao",
"timestamp": "07/13/2022 14:45:59",
"content": "instead think about what you're converting to what with each matrix",
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"timestamp": "07/13/2022 14:46:17",
"content": "the P matrix you found here converts standard basis to B'",
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"timestamp": "07/13/2022 14:46:31",
"content": "Okay",
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"author_name": "Eric Tao",
"timestamp": "07/13/2022 14:46:41",
"content": "what you want for A' is that it takes in a vector under basis B' and outputs a vector under basis B'",
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"author_name": "Deleted User",
"timestamp": "07/13/2022 14:47:21",
"content": "Im not sure what step to take..",
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"timestamp": "07/13/2022 14:48:02",
"content": "^",
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"timestamp": "07/13/2022 14:48:37",
"content": "Okay let me try",
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"timestamp": "07/13/2022 14:49:59",
"content": "The answer becomes \n-4 0\n8 0",
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"timestamp": "07/13/2022 14:50:21",
"content": "But the correct answer is \n-4 8\n0 0",
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"timestamp": "07/13/2022 14:52:49",
"content": "hm okay lemme try calculating it out",
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"timestamp": "07/13/2022 14:52:51",
"content": "that's weird",
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"author_name": "Deleted User",
"timestamp": "07/13/2022 14:52:59",
"content": "Thank you",
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"id": 996852183339389000,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/13/2022 14:54:41",
"content": "oh I'm dumb",
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"timestamp": "07/13/2022 14:54:48",
"content": "the P matrix converts from B' to standard basis",
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"timestamp": "07/13/2022 14:54:54",
"content": "the real error is that your A matrix is not right",
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"timestamp": "07/13/2022 14:55:10",
"content": "it should be $$\\begin{pmatrix}-3&1\\\\3&-1\\end{pmatrix}$$",
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"author_name": "TeXit",
"timestamp": "07/13/2022 14:55:13",
"content": "**Eric Tao (he/him)**",
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"timestamp": "07/13/2022 14:55:29",
"content": "sorry for the confusion, I got mixed up @Deleted Useryour original P^-1 A P equation was right",
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"content": "the problem was that your formula for A was not right",
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"timestamp": "07/13/2022 14:55:40",
"content": "Ohh that explains everything",
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"timestamp": "07/13/2022 14:55:53",
"content": "Let me try again",
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"timestamp": "07/13/2022 14:56:55",
"content": "Got it. Thank youuu. I was stuck on that for an hour lol",
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"content": "awesome! sorry for the messup haha",
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"timestamp": "07/13/2022 14:57:19",
"content": "Its totally fine. Thank youu",
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"timestamp": "07/13/2022 14:57:21",
"content": ".close",
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"timestamp": "07/13/2022 14:57:21",
"content": "Channel closed",
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}
] |
help-9
|
9ca85c93a9f44fa081165b7cbd0c3f04
|
197,130 |
[
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"timestamp": "07/13/2022 14:58:22",
"content": "Available help channel!",
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"id": 996855574874574800,
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"author_name": "imtrashhlpme",
"timestamp": "07/13/2022 15:08:09",
"content": "are these points or a fuction?",
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"timestamp": "07/13/2022 15:17:54",
"content": "it's a table",
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"content": "?",
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"timestamp": "07/13/2022 15:18:15",
"content": "but if you graph it you will get points",
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"content": "so its not a fuction?",
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"content": "well it is a function in the sense there are inputs and outputs",
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"timestamp": "07/13/2022 15:19:13",
"content": "so can u make an equation for it?",
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"timestamp": "07/13/2022 15:19:34",
"content": "probably, if you make some assumptions",
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"content": "what kind of assumptions?",
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"id": 996858544341123100,
"author_id": 209300311091838980,
"author_name": "Peacemaker II",
"timestamp": "07/13/2022 15:19:57",
"content": "you can probably assume some things about ferris wheels",
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"timestamp": "07/13/2022 15:20:01",
"content": "maybe that will help",
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"author_id": 390321967309389800,
"author_name": "imtrashhlpme",
"timestamp": "07/13/2022 15:20:20",
"content": "assume what?",
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"timestamp": "07/13/2022 15:20:33",
"content": "draw a ferris wheel",
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"author_id": 209300311091838980,
"author_name": "Peacemaker II",
"timestamp": "07/13/2022 15:20:34",
"content": "and imagine someone riding it",
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"timestamp": "07/13/2022 15:20:48",
"content": "and imagine how their height above the ground changes",
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"timestamp": "07/13/2022 15:20:51",
"content": "as they are riding it",
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"timestamp": "07/13/2022 15:21:05",
"content": "maybe you can create an equation",
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"timestamp": "07/13/2022 15:21:21",
"content": "so without the assumptions you cant make the equation",
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"timestamp": "07/13/2022 15:21:57",
"content": "you have a series of points, so there are infinitely many equations that are possible",
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"timestamp": "07/13/2022 15:22:31",
"content": "but it's possible to make an equation with the information you're given, if you are comfortable making some assumptions about motion on a ferris wheel",
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"timestamp": "07/13/2022 15:22:48",
"content": "so no",
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"timestamp": "07/13/2022 15:23:01",
"content": "ty for help cya...",
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"timestamp": "07/13/2022 15:23:04",
"content": ".close",
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"timestamp": "07/13/2022 15:23:04",
"content": "Channel closed",
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}
] |
help-9
|
08512da603cd450d814bc66f2c87a807
|
197,131 |
[
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"timestamp": "07/13/2022 16:25:59",
"content": "Available help channel!",
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{
"id": 996875559923626000,
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"timestamp": "07/13/2022 16:27:38",
"content": "what would xdy be",
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"id": 996875682908999700,
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"content": "@cockaigne. Has your question been resolved?",
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] |
help-9
|
bf975ec2b6074f4daf1c7b2251d0e693
|
197,132 |
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"id": 996883830931722400,
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"timestamp": "07/13/2022 17:01:33",
"content": "Displacement is end-start",
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"timestamp": "07/13/2022 17:01:53",
"content": "im bad with physics",
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},
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"id": 996884336752197800,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/13/2022 17:02:27",
"content": "What is the end value?",
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},
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"content": "uhh",
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"id": 996884402183340000,
"author_id": 762719994534035600,
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"timestamp": "07/13/2022 17:02:42",
"content": "4?",
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"id": 996884404838334500,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/13/2022 17:02:43",
"content": "Also saying youre bad with physics wont make you better",
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},
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"id": 996884448547180700,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/13/2022 17:02:53",
"content": "Which axis is position?",
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},
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"id": 996884528578691200,
"author_id": 762719994534035600,
"author_name": "JustinBTW",
"timestamp": "07/13/2022 17:03:12",
"content": "x",
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},
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"author_id": 762719994534035600,
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"timestamp": "07/13/2022 17:03:13",
"content": "?",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/13/2022 17:03:43",
"content": "Look at the labels to the left and below the chart",
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},
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"timestamp": "07/13/2022 17:04:05",
"content": "ye",
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"timestamp": "07/13/2022 17:04:16",
"content": "Which one is position",
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},
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"id": 996884828517580800,
"author_id": 762719994534035600,
"author_name": "JustinBTW",
"timestamp": "07/13/2022 17:04:24",
"content": "ohhh",
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},
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"id": 996884834733539300,
"author_id": 762719994534035600,
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"timestamp": "07/13/2022 17:04:25",
"content": "y",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/13/2022 17:04:51",
"content": "Ok, so at ending time, what is the position",
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},
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"id": 996884993710248000,
"author_id": 762719994534035600,
"author_name": "JustinBTW",
"timestamp": "07/13/2022 17:05:03",
"content": "0?",
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},
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"id": 996885025565982800,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/13/2022 17:05:11",
"content": "Yup",
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},
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/13/2022 17:05:16",
"content": "And what is the start",
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},
{
"id": 996885096307118200,
"author_id": 762719994534035600,
"author_name": "JustinBTW",
"timestamp": "07/13/2022 17:05:28",
"content": "1?",
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},
{
"id": 996885131371483100,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/13/2022 17:05:36",
"content": "And end-start is?",
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},
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"id": 996885203500945400,
"author_id": 762719994534035600,
"author_name": "JustinBTW",
"timestamp": "07/13/2022 17:05:53",
"content": "idk",
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},
{
"id": 996885227932762200,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/13/2022 17:05:59",
"content": "End minus start",
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},
{
"id": 996885252930810000,
"author_id": 762719994534035600,
"author_name": "JustinBTW",
"timestamp": "07/13/2022 17:06:05",
"content": "ioh",
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},
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"id": 996885264368681000,
"author_id": 762719994534035600,
"author_name": "JustinBTW",
"timestamp": "07/13/2022 17:06:08",
"content": "oh*",
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},
{
"id": 996885308899598300,
"author_id": 762719994534035600,
"author_name": "JustinBTW",
"timestamp": "07/13/2022 17:06:18",
"content": "-1",
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},
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/13/2022 17:06:48",
"content": "There you go",
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},
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"id": 996885476327837700,
"author_id": 762719994534035600,
"author_name": "JustinBTW",
"timestamp": "07/13/2022 17:06:58",
"content": "thx",
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},
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/13/2022 17:07:07",
"content": "Yeah no prob",
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},
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"id": 996889252065464400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 17:21:58",
"content": "@JustinBTW Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 17:22:03",
"content": "Channel closed",
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}
] |
help-9
|
b1ddc391d19a474c837271173e0c71ba
|
197,133 |
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{
"id": 996889523600511100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 17:23:03",
"content": "Available help channel!",
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},
{
"id": 996894120486387700,
"author_id": 730848710929547400,
"author_name": "cek",
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"content": "",
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"timestamp": "07/13/2022 17:41:20",
"content": "Pinned a message.",
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"timestamp": "07/13/2022 17:41:27",
"content": "wair",
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},
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"id": 996894162140008400,
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"author_name": "cek",
"timestamp": "07/13/2022 17:41:29",
"content": "wrong pic",
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},
{
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{
"id": 996894289156133000,
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"timestamp": "07/13/2022 17:41:59",
"content": "☹☹",
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},
{
"id": 996894866019717100,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:44:17",
"content": "😭😭",
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},
{
"id": 996894890967433300,
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"author_name": "cek",
"timestamp": "07/13/2022 17:44:23",
"content": "help me",
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},
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"id": 996895844836057100,
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"timestamp": "07/13/2022 17:48:10",
"content": "plssss",
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"content": "@Gamer Dio",
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"timestamp": "07/13/2022 17:48:31",
"content": "Please don't ping me",
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},
{
"id": 996895972930113700,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:48:41",
"content": "okay",
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"content": "help me",
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},
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"id": 996895983554285700,
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"timestamp": "07/13/2022 17:48:43",
"content": "pls",
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"timestamp": "07/13/2022 17:48:47",
"content": "😢😢",
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},
{
"id": 996896036821930100,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:48:56",
"content": "Anyway, do you notice any way to add, subtract, multiply, or divide 3, 8, and 4 to get 4?",
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"id": 996896058447761500,
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"timestamp": "07/13/2022 17:49:01",
"content": "no",
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},
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"id": 996896079322824700,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:49:06",
"content": "Have you tried?",
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"id": 996896091490484200,
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"author_name": "cek",
"timestamp": "07/13/2022 17:49:09",
"content": "yes",
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"id": 996896121584615400,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:49:16",
"content": "i got 9",
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},
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"id": 996896147891310600,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:49:23",
"content": "but mt friend",
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},
{
"id": 996896157609496600,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:49:25",
"content": "told me it was wrong",
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},
{
"id": 996896173233283200,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:49:29",
"content": ":(",
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},
{
"id": 996896174529318900,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:49:29",
"content": "It is wrong",
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},
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"id": 996896214199046300,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:49:38",
"content": "How'd you get 9? Explain your reasoning",
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"id": 996896255236128800,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:49:48",
"content": "i minsed 5",
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},
{
"id": 996896273963688000,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:49:53",
"content": "from 14",
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},
{
"id": 996896300643659900,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:49:59",
"content": "Why?",
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},
{
"id": 996896331308216300,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:50:06",
"content": "cuz",
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},
{
"id": 996896346118295600,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:50:10",
"content": "4 and 6",
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},
{
"id": 996896357061243000,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:50:12",
"content": "between them is 5",
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},
{
"id": 996896361742082200,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:50:14",
"content": "so ay",
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},
{
"id": 996896365152063500,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:50:14",
"content": "ya",
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"id": 996896443195461800,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:50:33",
"content": "But that logic doesn't apply to the other 3 triangles",
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},
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"id": 996896460153028700,
"author_id": 730848710929547400,
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"timestamp": "07/13/2022 17:50:37",
"content": "oh",
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},
{
"id": 996896514985185300,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:50:50",
"content": "im just confused",
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},
{
"id": 996896522736259200,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:50:52",
"content": ":/",
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},
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:51:02",
"content": "Between 3 and 4 is 3.5, so the first triangle should be 8 - 3.5 = 4.5, but it's not",
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},
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"id": 996896567191666700,
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"author_name": "cek",
"timestamp": "07/13/2022 17:51:03",
"content": "and im dumb",
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},
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"id": 996896600628674600,
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"timestamp": "07/13/2022 17:51:11",
"content": "oh",
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"timestamp": "07/13/2022 17:51:32",
"content": "i dont understand",
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},
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:51:34",
"content": "Well, notice what happens when you add the bottom two numbers",
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"id": 996896730509484000,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:51:41",
"content": "so rhe first triangle should be 3.5?",
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},
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"id": 996896730907951200,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:51:42",
"content": "What do you get?",
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"id": 996896757642428500,
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"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:51:48",
"content": "No",
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"id": 996896772037300400,
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"timestamp": "07/13/2022 17:51:51",
"content": "20",
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},
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"id": 996896785987543000,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/13/2022 17:51:55",
"content": ".",
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"id": 996896787589759000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:51:55",
"content": "I was disproving your earlier answer",
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"id": 996896803511337100,
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"timestamp": "07/13/2022 17:51:59",
"content": "oh",
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},
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"timestamp": "07/13/2022 17:52:05",
"content": "Consider the first triangle",
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"timestamp": "07/13/2022 17:52:10",
"content": "8 + 4 is 12",
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"timestamp": "07/13/2022 17:52:21",
"content": "okay",
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"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:52:21",
"content": "How does 12 relate to 4?",
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"id": 996896921870417900,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:52:27",
"content": "uh",
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"id": 996896935594184700,
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"author_name": "cek",
"timestamp": "07/13/2022 17:52:30",
"content": "4x3",
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"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "07/13/2022 17:52:37",
"content": "Smart 🤯",
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"timestamp": "07/13/2022 17:52:42",
"content": "Now consider the second triangle",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:52:51",
"content": "What's the sum of the bottom two numbers?",
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"timestamp": "07/13/2022 17:52:55",
"content": "wait",
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"timestamp": "07/13/2022 17:52:57",
"content": "whats a sum",
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"author_name": "cek",
"timestamp": "07/13/2022 17:53:03",
"content": "IM SORRY",
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"id": 996897080662569100,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:53:05",
"content": "The result of addition",
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"author_name": "cek",
"timestamp": "07/13/2022 17:53:05",
"content": "😭",
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"id": 996897118545510500,
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"author_name": "cek",
"timestamp": "07/13/2022 17:53:14",
"content": "is additon",
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"id": 996897127194169500,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:53:16",
"content": "adding",
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"id": 996897132986519700,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:53:17",
"content": "??",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/13/2022 17:53:22",
"content": "Bruh",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/13/2022 17:53:23",
"content": "Yes",
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"id": 996897193912971400,
"author_id": 182880085022474240,
"author_name": "KD",
"timestamp": "07/13/2022 17:53:32",
"content": "How did they do it?",
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"timestamp": "07/13/2022 17:53:37",
"content": "Addition is actually when you're applying for a role in a movie",
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"timestamp": "07/13/2022 17:53:37",
"content": "okay 18",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:53:51",
"content": "How does 18 relate to the center number, 3?",
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"id": 996897310820814800,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:54:00",
"content": "wair",
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"id": 996897338230583300,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:54:06",
"content": "i thiught we were on the 2nd triangle",
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"id": 996897356383518700,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:54:11",
"content": "We are",
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"author_name": "cek",
"timestamp": "07/13/2022 17:54:14",
"content": "oh",
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"author_id": 305774135437557760,
"author_name": "Hagen",
"timestamp": "07/13/2022 17:54:17",
"content": "What grade are you ffs",
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"timestamp": "07/13/2022 17:54:19",
"content": "The sum of the bottom two numbers is 18",
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"author_name": "cek",
"timestamp": "07/13/2022 17:54:20",
"content": "3x6",
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"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:54:26",
"content": "Yes",
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"id": 996897489611407500,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:54:42",
"content": "Are you noticing anything so far?",
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"author_name": "cek",
"timestamp": "07/13/2022 17:54:47",
"content": "yesss",
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"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:54:53",
"content": "u multiply",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:55:06",
"content": "Multiply what?",
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"author_name": "cek",
"timestamp": "07/13/2022 17:55:12",
"content": "3x6",
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"id": 996897657853313200,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:55:23",
"content": "😭😭",
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},
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"id": 996897682763288700,
"author_id": 305774135437557760,
"author_name": "Hagen",
"timestamp": "07/13/2022 17:55:29",
"content": "💀",
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},
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:55:29",
"content": "Let's go back to the first triangle",
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"id": 996897716498079700,
"author_id": 305774135437557760,
"author_name": "Hagen",
"timestamp": "07/13/2022 17:55:37",
"content": "Grade*",
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"id": 996897742351765600,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:55:43",
"content": "Don't be mean",
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"id": 996897763793055700,
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"author_name": "cek",
"timestamp": "07/13/2022 17:55:48",
"content": "im sorry",
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"author_id": 305774135437557760,
"author_name": "Hagen",
"timestamp": "07/13/2022 17:55:55",
"content": "You’re good",
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},
{
"id": 996897805421510700,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:55:58",
"content": "The sum of the bottom two numbers is 12, and 12 is 3 * the middle number",
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"id": 996897840850796700,
"author_id": 305774135437557760,
"author_name": "Hagen",
"timestamp": "07/13/2022 17:56:06",
"content": "It’s all in good fun just try and learn",
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"id": 996897843077980200,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/13/2022 17:56:07",
"content": "We were all like that at one point",
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"id": 996897850208301200,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:56:08",
"content": "Right?",
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"id": 996897862988333000,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:56:12",
"content": "yes",
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"id": 996897908655935500,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:56:22",
"content": "okay so 3x4",
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"id": 996897925810638800,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:56:26",
"content": "What's the top number of the triangle?",
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"id": 996897949240008700,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:56:32",
"content": "The first one, I mean",
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"author_name": "cek",
"timestamp": "07/13/2022 17:56:35",
"content": "3",
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{
"id": 996897996262363100,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:56:43",
"content": "Now look at the second triangle",
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"id": 996898082639851600,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:57:04",
"content": "The sum of the bottom two numbers is 18, and 18 is 6 * the middle number",
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},
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"id": 996898095524753400,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:57:07",
"content": "Right?",
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{
"id": 996898110288711800,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:57:10",
"content": "yes",
"attachments": [],
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},
{
"id": 996898149497065600,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:57:20",
"content": "What's the top number of the second triangle?",
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},
{
"id": 996898188055281800,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:57:29",
"content": "6",
"attachments": [],
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},
{
"id": 996898255130599600,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:57:45",
"content": "Are you seeing a pattern?",
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},
{
"id": 996898291356815400,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:57:54",
"content": "yes",
"attachments": [],
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},
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"id": 996898309379719300,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:57:58",
"content": "What is it?",
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},
{
"id": 996898339570327600,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:58:05",
"content": "theyre all multiplied",
"attachments": [],
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},
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"id": 996898345878560900,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:58:07",
"content": "by 6",
"attachments": [],
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},
{
"id": 996898370536878200,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:58:13",
"content": "oops auto correct",
"attachments": [],
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},
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"id": 996898391453872100,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:58:17",
"content": "All?",
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},
{
"id": 996898411703980200,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:58:22",
"content": "Even the first triangle?",
"attachments": [],
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},
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"id": 996898413381693400,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:58:23",
"content": "uhm",
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},
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"id": 996898446617362600,
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"author_name": "cek",
"timestamp": "07/13/2022 17:58:31",
"content": "idk",
"attachments": [],
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},
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"author_name": "cek",
"timestamp": "07/13/2022 17:58:45",
"content": "yes",
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},
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"id": 996898576800170000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:59:02",
"content": "Yes what?",
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"id": 996898641367285900,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:59:17",
"content": "nothing",
"attachments": [],
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},
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"id": 996898672178626700,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:59:24",
"content": "Maybe we need another example",
"attachments": [],
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"reference": null
},
{
"id": 996898697302507600,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 17:59:30",
"content": "yea",
"attachments": [],
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},
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"id": 996898708165759000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:59:33",
"content": "Let's try the third triangle",
"attachments": [],
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},
{
"id": 996898750775693300,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 17:59:43",
"content": "What's the sum of the bottom two numbers?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996898873727520800,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 18:00:12",
"content": "14",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996898914642972800,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 18:00:22",
"content": "How does that relate to the middle number?",
"attachments": [],
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"reference": null
},
{
"id": 996898936545624200,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 18:00:27",
"content": "oh",
"attachments": [],
"mentions": [],
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},
{
"id": 996898949090771100,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 18:00:30",
"content": "14÷2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996898982603276300,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 18:00:38",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996898998365466600,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 18:00:42",
"content": "OHHH",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996899035262763000,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 18:00:51",
"content": "so 20÷4",
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},
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"id": 996899041550028900,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 18:00:52",
"content": "is",
"attachments": [],
"mentions": [],
"reference": null
},
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"id": 996899052467790000,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 18:00:55",
"content": "5",
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"id": 996899059090604200,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 18:00:57",
"content": "??",
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},
{
"id": 996899080234082300,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 18:01:02",
"content": ":rin:",
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},
{
"id": 996899098366067000,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 18:01:06",
"content": "OMG THX",
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},
{
"id": 996899142662111200,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/13/2022 18:01:17",
"content": "Pro",
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},
{
"id": 996899167723061200,
"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "07/13/2022 18:01:23",
"content": "GG",
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},
{
"id": 996899169203671200,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "07/13/2022 18:01:23",
"content": "\\:)",
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},
{
"id": 996899231354847200,
"author_id": 474249362571264000,
"author_name": "Idle_Wild",
"timestamp": "07/13/2022 18:01:38",
"content": "I would not have spotted the pattern 😦",
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},
{
"id": 996899237193334900,
"author_id": 305774135437557760,
"author_name": "Hagen",
"timestamp": "07/13/2022 18:01:39",
"content": ":sharkpog:",
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},
{
"id": 996899249507803300,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 18:01:42",
"content": "it isnt even my hw",
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},
{
"id": 996899258689130500,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 18:01:44",
"content": "☹",
"attachments": [],
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},
{
"id": 996899282856718500,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 18:01:50",
"content": "its my friends",
"attachments": [],
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},
{
"id": 996899325290483700,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 18:02:00",
"content": "That's fine",
"attachments": [],
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},
{
"id": 996899331565166700,
"author_id": 474249362571264000,
"author_name": "Idle_Wild",
"timestamp": "07/13/2022 18:02:02",
"content": "I thought it was some sort of pythagorean or trigonometric function",
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"reference": null
},
{
"id": 996899349344813000,
"author_id": 305774135437557760,
"author_name": "Hagen",
"timestamp": "07/13/2022 18:02:06",
"content": "Well now you know",
"attachments": [],
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},
{
"id": 996899389840818300,
"author_id": 305774135437557760,
"author_name": "Hagen",
"timestamp": "07/13/2022 18:02:16",
"content": "So if you ever get asked you’ll know",
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},
{
"id": 996899430353608700,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 18:02:25",
"content": "yes",
"attachments": [],
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"reference": null
},
{
"id": 996899465032114300,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 18:02:33",
"content": "Until they have another set of triangles with a different ruleset",
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},
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"id": 996899489723990000,
"author_id": 305774135437557760,
"author_name": "Hagen",
"timestamp": "07/13/2022 18:02:39",
"content": "For a right triangle that would be correct",
"attachments": [],
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},
{
"id": 996899512255779100,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/13/2022 18:02:45",
"content": "😬",
"attachments": [],
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"reference": null
},
{
"id": 996899543406887000,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 18:02:52",
"content": "can i add u plz",
"attachments": [],
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"id": 996899587044425900,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/13/2022 18:03:03",
"content": "I only add people i know irl",
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},
{
"id": 996899608515059700,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 18:03:08",
"content": "oKay",
"attachments": [],
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},
{
"id": 996899625829159000,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 18:03:12",
"content": "bye",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996899719236296800,
"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "07/13/2022 18:03:34",
"content": "Feel free to .close",
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},
{
"id": 996899736223232000,
"author_id": 730848710929547400,
"author_name": "cek",
"timestamp": "07/13/2022 18:03:38",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 996899737980637200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 18:03:39",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
5aa06444c335486192faf974670f452c
|
197,134 |
[
{
"id": 996911756532261000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 18:51:24",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 996913237536805000,
"author_id": 379436365638664200,
"author_name": "Rylion",
"timestamp": "07/13/2022 18:57:17",
"content": "Do I need to rewrite it first as 4/5*(1/(1+x/4)) ?",
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"content": "Pinned a message.",
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"id": 996914260397523000,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "07/13/2022 19:01:21",
"content": "your fraction is not clear",
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"id": 996914288650358900,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "07/13/2022 19:01:28",
"content": "you should do",
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},
{
"id": 996914349497126900,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "07/13/2022 19:01:42",
"content": "$$\\frac{4}{5} \\cdot \\frac{1}{1+\\frac{4}{5}x}$$",
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},
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"id": 996914362822439000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/13/2022 19:01:45",
"content": "**Modus**",
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"author_id": 379436365638664200,
"author_name": "Rylion",
"timestamp": "07/13/2022 19:02:04",
"content": "oh true",
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},
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"id": 996914597174972500,
"author_id": 379436365638664200,
"author_name": "Rylion",
"timestamp": "07/13/2022 19:02:41",
"content": "then when I do the power series, how do I bring inside the sum the 4/5 ?",
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},
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"id": 996914682701025300,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "07/13/2022 19:03:02",
"content": "you can firstly take 4/5 out of the sum as a constant",
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},
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"id": 996914756600479700,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "07/13/2022 19:03:19",
"content": "then use a hint given to determine sum of the another part",
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},
{
"id": 996915195182067800,
"author_id": 379436365638664200,
"author_name": "Rylion",
"timestamp": "07/13/2022 19:05:04",
"content": "so I have got the sum from n=0 to inf of (-1)^n * (4/5x)^n",
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},
{
"id": 996915264958501000,
"author_id": 379436365638664200,
"author_name": "Rylion",
"timestamp": "07/13/2022 19:05:20",
"content": "but I still need to add the 4/5 constant to it",
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"id": 996915414363803600,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "07/13/2022 19:05:56",
"content": "just multiply it by 4/5 and that's it, basically u can simplify it further if you want (to make it more 'elegant')",
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},
{
"id": 996915542164246700,
"author_id": 379436365638664200,
"author_name": "Rylion",
"timestamp": "07/13/2022 19:06:27",
"content": "how can I simplify it more?",
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},
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"id": 996915635693027500,
"author_id": 379436365638664200,
"author_name": "Rylion",
"timestamp": "07/13/2022 19:06:49",
"content": "-4/5x ^ n ?",
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"id": 996916169963475100,
"author_id": 379436365638664200,
"author_name": "Rylion",
"timestamp": "07/13/2022 19:08:56",
"content": "sorry, do u mean: 4/5 * (-1)^n * (4/5x)^n = (-16/25x)^n",
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"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 19:23:56",
"content": "@Rylion Has your question been resolved?",
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"id": 996925049162453100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/13/2022 19:44:13",
"content": "You just replace the x-argument of the summation with the argument of the series",
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"id": 996925053247705100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/13/2022 19:44:14",
"content": "So",
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},
{
"id": 996925243471962100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/13/2022 19:45:00",
"content": "$$\\frac{1}{1+{\\color{lime}{x}}} = \\sum_{n=0}^{\\infty}(-1)^n{\\color{lime}{x}}^n$$",
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},
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"id": 996925334173786200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/13/2022 19:45:21",
"content": "**Umbraleviathan**",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/13/2022 19:45:58",
"content": "$$\\frac{4}{5} \\cdot \\frac{1}{1+\\frac{4}{5}x}$$\n\n\nWhat is your x-argument?",
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"id": 996925499290951800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/13/2022 19:46:01",
"content": "**Umbraleviathan**",
"attachments": [
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"author_name": "Umbraleviathan",
"timestamp": "07/13/2022 19:46:02",
"content": "@Rylion",
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"id": 996925637518434400,
"author_id": 379436365638664200,
"author_name": "Rylion",
"timestamp": "07/13/2022 19:46:33",
"content": "I just had a doubt for the last part of it",
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"id": 996925729713438800,
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"author_name": "Rylion",
"timestamp": "07/13/2022 19:46:55",
"content": "but my x argument is 4/5",
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"id": 996928873210069000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/13/2022 19:59:25",
"content": "No",
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"id": 996928892801654800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/13/2022 19:59:30",
"content": "It's 4/5 x",
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},
{
"id": 996929343655776300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/13/2022 20:01:17",
"content": "$$\\frac{1}{1+{\\color{lime}{x}}} = \\sum_{n=0}^{\\infty}(-1)^n{\\color{lime}{x}}^n$$\n\n$$\\frac{4}{5}\\cdot\\frac{1}{1+{\\color{lime}{\\frac{4}{5}x}}} = \\frac{4}{5}\\sum_{n=0}^{\\infty}(-1)^n{\\color{lime}{\\left(\\frac{4}{5}x\\right)}}^n$$",
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"id": 996929422227669100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/13/2022 20:01:36",
"content": "**Umbraleviathan**",
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"id": 996929486618628100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/13/2022 20:01:51",
"content": "See how the argument changes the x-argument in the sum?",
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"id": 996931450597285900,
"author_id": 379436365638664200,
"author_name": "Rylion",
"timestamp": "07/13/2022 20:09:39",
"content": "yes",
"attachments": [],
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},
{
"id": 996931663483392000,
"author_id": 379436365638664200,
"author_name": "Rylion",
"timestamp": "07/13/2022 20:10:30",
"content": "so it results (-1)^n (4x ^(n+1)/5^(n+1)) ?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 20:40:30",
"content": "@Rylion Has your question been resolved?",
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"timestamp": "07/13/2022 20:40:36",
"content": "Channel closed",
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}
] |
help-9
|
95eeeeb2f0294e548d45f0bc6b2aa1f6
|
197,135 |
[
{
"id": 996939260508774500,
"author_id": 379436365638664200,
"author_name": "Rylion",
"timestamp": "07/13/2022 20:40:41",
"content": ".close",
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},
{
"id": 996939491661070300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 20:41:37",
"content": "Available help channel!",
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},
{
"id": 996944750680748200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 21:02:30",
"content": "Hello new here. Question about highschool math",
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},
{
"id": 996944753457381400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 21:02:31",
"content": "Pinned a message.",
"attachments": [],
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 21:04:49",
"content": "This was my process simplifying 4^x / 4^(x-1). Applying the quotient rule a^x / a^y = a^(x-y)\n4^x / 4^(x-1)\n= 4^(x - x - 1)\n= 4^(-1)",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 21:06:36",
"content": "Ran the equation through a polynomial calculator and figured out \n4^x / 4^(x-1) \n= 4^(x - x - (-1) )\nbut I cant figure out how 4^(x - x - 1) became 4^(x - x - (-1) )",
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"id": 996946780325417100,
"author_id": 381971715296722940,
"author_name": "ELeonardo",
"timestamp": "07/13/2022 21:10:34",
"content": "Hello, in this case y=x-1, so -y = -(x-1) = -x -(-1)",
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{
"id": 996946818741055500,
"author_id": 675147870428725200,
"author_name": "Neclo",
"timestamp": "07/13/2022 21:10:43",
"content": "some people are so off the deep end today",
"attachments": [],
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},
{
"id": 996946836579422300,
"author_id": 675147870428725200,
"author_name": "Neclo",
"timestamp": "07/13/2022 21:10:48",
"content": "wrong channel",
"attachments": [],
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},
{
"id": 996946839939076200,
"author_id": 675147870428725200,
"author_name": "Neclo",
"timestamp": "07/13/2022 21:10:49",
"content": "sry",
"attachments": [],
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"reference": null
},
{
"id": 996947248040652800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 21:12:26",
"content": "Could you elaborate?",
"attachments": [],
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{
"id": 996947325291339800,
"author_id": 957773241659846800,
"author_name": "Zlyz_Asick7",
"timestamp": "07/13/2022 21:12:44",
"content": "hello",
"attachments": [],
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},
{
"id": 996947384602996900,
"author_id": 957773241659846800,
"author_name": "Zlyz_Asick7",
"timestamp": "07/13/2022 21:12:58",
"content": "I have a question",
"attachments": [],
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"reference": null
},
{
"id": 996947450713612300,
"author_id": 381971715296722940,
"author_name": "ELeonardo",
"timestamp": "07/13/2022 21:13:14",
"content": "Applying the quotient rule, the resulting exponent is x-(x-1) = x - x -(-1)",
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},
{
"id": 996947474549846000,
"author_id": 957773241659846800,
"author_name": "Zlyz_Asick7",
"timestamp": "07/13/2022 21:13:20",
"content": "How to quickly memorize the compound angle formula",
"attachments": [],
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"reference": null
},
{
"id": 996947519340814300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/13/2022 21:13:31",
"content": "#❓how-to-get-help",
"attachments": [],
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"name": "Zlyz_Asick7",
"discriminator": "7095",
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"id": 996947531122614400,
"author_id": 957773241659846800,
"author_name": "Zlyz_Asick7",
"timestamp": "07/13/2022 21:13:33",
"content": "idk how to do that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996947680414666800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 21:14:09",
"content": "What did you just do there, I don't understand.",
"attachments": [],
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{
"id": 996947745761935500,
"author_id": 381971715296722940,
"author_name": "ELeonardo",
"timestamp": "07/13/2022 21:14:24",
"content": "Distribute the minus sign",
"attachments": [],
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},
{
"id": 996947908198944800,
"author_id": 381971715296722940,
"author_name": "ELeonardo",
"timestamp": "07/13/2022 21:15:03",
"content": "-(x-1) = -x - (-1)",
"attachments": [],
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},
{
"id": 996948008853844000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 21:15:27",
"content": "From where did you distribute the minus sign, exactly?",
"attachments": [],
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{
"id": 996948118593622100,
"author_id": 381971715296722940,
"author_name": "ELeonardo",
"timestamp": "07/13/2022 21:15:53",
"content": "Here you have a minus sign in front of the parentheses",
"attachments": [],
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},
{
"id": 996948173362827400,
"author_id": 381971715296722940,
"author_name": "ELeonardo",
"timestamp": "07/13/2022 21:16:06",
"content": "So you distribute it to each of the terms inside the parentheses",
"attachments": [],
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},
{
"id": 996948312945082500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 21:16:40",
"content": "Right because to simplify an equation also includes getting rid of the parentheses",
"attachments": [],
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},
{
"id": 996948412576571500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 21:17:03",
"content": "which involves minus operator distribution? What's the term for this?",
"attachments": [],
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},
{
"id": 996948758950592500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 21:18:26",
"content": "Sorry I am just diving into highschool math, forgot a lot of fundamentals",
"attachments": [],
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},
{
"id": 996948890945339400,
"author_id": 381971715296722940,
"author_name": "ELeonardo",
"timestamp": "07/13/2022 21:18:58",
"content": "You can think of the minus sign as a -1:\n-1(x - 1)\n= -1(x) -1(-1)",
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},
{
"id": 996948927024738400,
"author_id": 381971715296722940,
"author_name": "ELeonardo",
"timestamp": "07/13/2022 21:19:06",
"content": "= -x + 1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996949024638779400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 21:19:29",
"content": "OK",
"attachments": [],
"mentions": [],
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},
{
"id": 996949034939977900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 21:19:32",
"content": "makes a lot more sense",
"attachments": [],
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"reference": null
},
{
"id": 996949050765099100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 21:19:36",
"content": "Thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996949190741602400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/13/2022 21:20:09",
"content": ".close",
"attachments": [],
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},
{
"id": 996949192637436000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 21:20:09",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
bf6b80e141c14308b6409c64839494e9
|
197,136 |
[
{
"id": 996949445763665900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 21:21:10",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996951750831521800,
"author_id": 819064904194457600,
"author_name": "𝐅𝐑𝐎𝐒𝐊𝐘",
"timestamp": "07/13/2022 21:30:19",
"content": "In this video he didn't draw altitude why??\nLink : https://youtu.be/XTWZ_M8d-4g",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/996951751267725323/Screenshot_20220714_042611.jpg",
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"id": 996951753981435900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 21:30:20",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
"guildId": null
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{
"id": 996951974094323700,
"author_id": 819064904194457600,
"author_name": "𝐅𝐑𝐎𝐒𝐊𝐘",
"timestamp": "07/13/2022 21:31:13",
"content": "Is it because it have 90° degree?",
"attachments": [],
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},
{
"id": 996952489507164300,
"author_id": 767361250094219300,
"author_name": "Fareel",
"timestamp": "07/13/2022 21:33:15",
"content": "why should he draw the altitude?",
"attachments": [],
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{
"id": 819064904194457600,
"name": "𝐅𝐑𝐎𝐒𝐊𝐘",
"discriminator": "4064",
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"id": 996952726544060500,
"author_id": 767361250094219300,
"author_name": "Fareel",
"timestamp": "07/13/2022 21:34:12",
"content": "yeah",
"attachments": [],
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{
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"name": "𝐅𝐑𝐎𝐒𝐊𝐘",
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"nickname": "𝐅𝐑𝐎𝐒𝐊𝐘",
"isBot": false
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{
"id": 996953498560241700,
"author_id": 819064904194457600,
"author_name": "𝐅𝐑𝐎𝐒𝐊𝐘",
"timestamp": "07/13/2022 21:37:16",
"content": "I dunno i just felt the triangle weird didn't seem like a right triangle maybe cuz it's flipped",
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},
{
"id": 996953554424176800,
"author_id": 819064904194457600,
"author_name": "𝐅𝐑𝐎𝐒𝐊𝐘",
"timestamp": "07/13/2022 21:37:29",
"content": "K thx",
"attachments": [],
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 21:52:30",
"content": "@𝐅𝐑𝐎𝐒𝐊𝐘 Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 819064904194457600,
"name": "𝐅𝐑𝐎𝐒𝐊𝐘",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 22:07:30",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
a08c1886a5964b72942404e46178e74e
|
197,137 |
[
{
"id": 996961359642247300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 22:08:30",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996963024978067500,
"author_id": 263490749352509440,
"author_name": "dommy fee",
"timestamp": "07/13/2022 22:15:07",
"content": "hello, i was assigned this exercise and i'm not sure where to go past what i've done (if what i've done is even correct thus far)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996963027175878800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 22:15:08",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 996963024978067500,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 996963137079234600,
"author_id": 263490749352509440,
"author_name": "dommy fee",
"timestamp": "07/13/2022 22:15:34",
"content": "",
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{
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{
"id": 996963192012034000,
"author_id": 263490749352509440,
"author_name": "dommy fee",
"timestamp": "07/13/2022 22:15:47",
"content": "i was instructed to use both the cauchy-swartz and poincare inequalities as a hint",
"attachments": [],
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},
{
"id": 996963249813721200,
"author_id": 263490749352509440,
"author_name": "dommy fee",
"timestamp": "07/13/2022 22:16:01",
"content": "sorry if my work is a little all over the place",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996967025559748700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 22:31:01",
"content": "@dommy fee Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 263490749352509440,
"name": "dommy fee",
"discriminator": "0681",
"nickname": "dommy fee",
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{
"id": 996975241672794100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/13/2022 23:03:40",
"content": "@dommy fee Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 263490749352509440,
"name": "dommy fee",
"discriminator": "0681",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/14/2022 00:06:37",
"content": "@dommy fee Has your question been resolved?",
"attachments": [],
"mentions": [
{
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"name": "dommy fee",
"discriminator": "0681",
"nickname": "dommy fee",
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"id": 996991101577723900,
"author_id": 263490749352509440,
"author_name": "dommy fee",
"timestamp": "07/14/2022 00:06:41",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 996991103247077400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/14/2022 00:06:42",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
2763ecae240f420dba42f7294d8076c9
|
197,138 |
[
{
"id": 958755174497779700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/30/2022 11:50:46",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958756250106085400,
"author_id": 220685945337413630,
"author_name": "MarcKingg",
"timestamp": "03/30/2022 11:55:02",
"content": "Calculate",
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{
"id": 958756252899492000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/30/2022 11:55:03",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 958756250106085400,
"channelId": 486844875632017400,
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{
"id": 958756428057821200,
"author_id": 220685945337413630,
"author_name": "MarcKingg",
"timestamp": "03/30/2022 11:55:45",
"content": "knowing f'(0) is defined, f(0) = 1, f(3) = 4 and \"(3)= -2",
"attachments": [],
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},
{
"id": 958756741678510100,
"author_id": 220685945337413630,
"author_name": "MarcKingg",
"timestamp": "03/30/2022 11:57:00",
"content": "I am stuck at the begining lol, I don't know where or how to start",
"attachments": [],
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"reference": null
},
{
"id": 958756794476421100,
"author_id": 220685945337413630,
"author_name": "MarcKingg",
"timestamp": "03/30/2022 11:57:12",
"content": "How do you know?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958756890467258400,
"author_id": 220685945337413630,
"author_name": "MarcKingg",
"timestamp": "03/30/2022 11:57:35",
"content": "yes",
"attachments": [],
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"reference": null
},
{
"id": 958756947102937100,
"author_id": 220685945337413630,
"author_name": "MarcKingg",
"timestamp": "03/30/2022 11:57:49",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958757002954293200,
"author_id": 220685945337413630,
"author_name": "MarcKingg",
"timestamp": "03/30/2022 11:58:02",
"content": "it's the second derivative messing with my head",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958757158311305200,
"author_id": 220685945337413630,
"author_name": "MarcKingg",
"timestamp": "03/30/2022 11:58:39",
"content": "4x",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958757285348401200,
"author_id": 220685945337413630,
"author_name": "MarcKingg",
"timestamp": "03/30/2022 11:59:09",
"content": "4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958757366071984100,
"author_id": 220685945337413630,
"author_name": "MarcKingg",
"timestamp": "03/30/2022 11:59:28",
"content": "0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958757608129445900,
"author_id": 220685945337413630,
"author_name": "MarcKingg",
"timestamp": "03/30/2022 12:00:26",
"content": "that still makes no sense to me for my problem",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 958757776715288600,
"author_id": 220685945337413630,
"author_name": "MarcKingg",
"timestamp": "03/30/2022 12:01:06",
"content": "3x -> 3 -> 0?",
"attachments": [],
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},
{
"id": 958757879664492700,
"author_id": 220685945337413630,
"author_name": "MarcKingg",
"timestamp": "03/30/2022 12:01:31",
"content": "f(0) is 1 so why would it be 23",
"attachments": [],
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},
{
"id": 958758289687076900,
"author_id": 220685945337413630,
"author_name": "MarcKingg",
"timestamp": "03/30/2022 12:03:09",
"content": "could you send your steps?",
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"timestamp": "03/30/2022 12:03:42",
"content": "no but your starting step",
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"timestamp": "03/30/2022 12:04:12",
"content": "your explanations are confusing me because I already know what a derivative is",
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"timestamp": "03/30/2022 12:04:29",
"content": "this is my only thought process so far",
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"timestamp": "03/30/2022 12:04:59",
"content": "kind of but why would you use it here?",
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"timestamp": "03/30/2022 12:05:43",
"content": "ok so if f\"=3x",
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"timestamp": "03/30/2022 12:05:54",
"content": "f'=3x^2/2",
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"timestamp": "03/30/2022 12:06:03",
"content": "f = x^3/2",
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"timestamp": "03/30/2022 12:08:08",
"content": "yes",
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"timestamp": "03/30/2022 12:08:26",
"content": "integral between 0 and 1",
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"author_name": "MarcKingg",
"timestamp": "03/30/2022 12:09:02",
"content": "it's the integral of x*f\"*dx",
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"timestamp": "03/30/2022 12:09:59",
"content": "no",
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"author_name": "MarcKingg",
"timestamp": "03/30/2022 12:10:11",
"content": "no examples on the internet too",
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"author_name": "MarcKingg",
"timestamp": "03/30/2022 12:12:33",
"content": "i'm stll confused as to where to start",
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"timestamp": "03/30/2022 12:27:33",
"content": "@MarcKingg Has your question been resolved?",
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"timestamp": "03/30/2022 12:35:15",
"content": "@Helpers may I get some assistance please",
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"author_name": "PhenomPlasma",
"timestamp": "03/30/2022 12:39:41",
"content": "I'm guessing integration by parts here?",
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"timestamp": "03/30/2022 12:40:10",
"content": "that's what im also thinking",
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"timestamp": "03/30/2022 12:40:17",
"content": "maybe isolate C",
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"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "03/30/2022 12:40:46",
"content": "Have they mentioned value of f'(3)?",
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"timestamp": "03/30/2022 12:41:08",
"content": "if f(0) is defined it means that my starting function is f(x)=x+1",
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"timestamp": "03/30/2022 12:41:23",
"content": "f(0)=1 so x+1 = 0",
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"author_name": "Ankit",
"timestamp": "03/30/2022 12:41:27",
"content": "We don't need to derive the function here",
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"timestamp": "03/30/2022 12:41:29",
"content": "and it works for f(3)=4",
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"timestamp": "03/30/2022 12:41:40",
"content": "$\\int_0^1 xf''(3x)dx = \\left[ \\frac{1}{3}xf'(3x)\\right]_0^1 - \\int_0^1 \\frac{1}{3}f'(3x)dx$.",
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"timestamp": "03/30/2022 12:41:41",
"content": "it's =-2",
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"author_name": "TeXit",
"timestamp": "03/30/2022 12:41:57",
"content": "**PhenomPlasma**",
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"timestamp": "03/30/2022 12:41:57",
"content": "Yeah then you just need to put the values after integrating by parts",
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"timestamp": "03/30/2022 12:42:13",
"content": "I have no idea what you are on about.",
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"timestamp": "03/30/2022 12:42:37",
"content": "You basically have all the values it's just about integrating the func",
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"timestamp": "03/30/2022 12:44:30",
"content": "where does the 1/3 come from before the x?",
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"timestamp": "03/30/2022 12:45:16",
"content": "You have f'(3) , f(0) and f'(0)",
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"timestamp": "03/30/2022 12:45:37",
"content": "Chain rule. Integral of f''(3x) is 1/3 × f'(3x).",
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"timestamp": "03/30/2022 13:04:20",
"content": "I see but you have f'(3x) so do you just replace 3x by 3?",
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"timestamp": "03/30/2022 13:04:24",
"content": "so x =1?",
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"timestamp": "03/30/2022 13:05:43",
"content": "yep, the limit is x=1 and x=0",
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"timestamp": "03/30/2022 13:05:49",
"content": "so that will be f'(3)",
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"timestamp": "03/30/2022 13:34:24",
"content": "@MarcKingg Has your question been resolved?",
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"timestamp": "03/30/2022 14:04:24",
"content": "Channel closed",
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}
] |
help-9
|
4fef06bd4fc647c0a770c1108bf1ebce
|
197,139 |
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"id": 996991356046164000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/14/2022 00:07:42",
"content": "Available help channel!",
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"reference": null
},
{
"id": 996992537032147000,
"author_id": 825118531586752500,
"author_name": "Miztyy",
"timestamp": "07/14/2022 00:12:24",
"content": "Not really a math question but does anyone have access to a teacher edition textbook of the McDonald Littell Geometry Textbook",
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},
{
"id": 996992538869252100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/14/2022 00:12:24",
"content": "Pinned a message.",
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"channelId": 486844875632017400,
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"author_id": 825118531586752500,
"author_name": "Miztyy",
"timestamp": "07/14/2022 00:12:33",
"content": "I need to check my answers",
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},
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"id": 996992600991080400,
"author_id": 825118531586752500,
"author_name": "Miztyy",
"timestamp": "07/14/2022 00:12:39",
"content": "and cant send pics unfortunatley",
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"id": 996992628677685200,
"author_id": 825118531586752500,
"author_name": "Miztyy",
"timestamp": "07/14/2022 00:12:45",
"content": "i can tery to find them online",
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"id": 996992837965066400,
"author_id": 825118531586752500,
"author_name": "Miztyy",
"timestamp": "07/14/2022 00:13:35",
"content": ".close",
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"id": 996992839227560000,
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"author_name": "Mathematics Bot",
"timestamp": "07/14/2022 00:13:36",
"content": "Channel closed",
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}
] |
help-9
|
919d22a563be478ba820e93f321a6cfa
|
197,140 |
[
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"content": "Available help channel!",
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},
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"id": 997019016193376400,
"author_id": 870178390257307600,
"author_name": "Amefr",
"timestamp": "07/14/2022 01:57:37",
"content": "thanks",
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"content": "Pinned a message.",
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"timestamp": "07/14/2022 01:57:46",
"content": ".close",
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"id": 997019055007482000,
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"timestamp": "07/14/2022 01:57:46",
"content": "Channel closed",
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help-9
|
880297cd4b704cd9a4c19fd06e3e56c3
|
197,141 |
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"timestamp": "07/14/2022 02:27:34",
"content": "Available help channel!",
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},
{
"id": 997028954126946400,
"author_id": 993101705145225200,
"author_name": "ekso2",
"timestamp": "07/14/2022 02:37:06",
"content": "How to solve this one",
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"content": "Pinned a message.",
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"timestamp": "07/14/2022 02:37:22",
"content": "I keep getting wrong answers even tho I do everything right",
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"id": 997029433183572100,
"author_id": 852256521986768900,
"author_name": ".,..",
"timestamp": "07/14/2022 02:39:00",
"content": "Then you dont to it right",
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{
"id": 997029469963427800,
"author_id": 852256521986768900,
"author_name": ".,..",
"timestamp": "07/14/2022 02:39:09",
"content": "what have you got",
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"id": 997029477878083600,
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"timestamp": "07/14/2022 02:40:21",
"content": "What did you get @ekso2",
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"timestamp": "07/14/2022 02:40:58",
"content": "-35/4 and some difference answers too",
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"id": 997029985967669200,
"author_id": 852256521986768900,
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"timestamp": "07/14/2022 02:41:12",
"content": "how?",
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"id": 997030053126869000,
"author_id": 852256521986768900,
"author_name": ".,..",
"timestamp": "07/14/2022 02:41:28",
"content": "whats 5 1/2 as a fraction?",
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"id": 997030124740419600,
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"timestamp": "07/14/2022 02:41:45",
"content": "5 is whole number right",
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"id": 997030144034230300,
"author_id": 852256521986768900,
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"timestamp": "07/14/2022 02:41:50",
"content": "yes",
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"id": 997030167455219800,
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"timestamp": "07/14/2022 02:41:55",
"content": "5/1",
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"timestamp": "07/14/2022 02:42:15",
"content": "It's 5/1 + 1/2",
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"id": 997030283444506800,
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"timestamp": "07/14/2022 02:42:23",
"content": "which is",
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"content": "11/2",
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"timestamp": "07/14/2022 02:42:49",
"content": "yeah so you move it to the right side",
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"timestamp": "07/14/2022 02:45:05",
"content": "I got this latest answer",
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"timestamp": "07/14/2022 02:46:07",
"content": "the step where you multiply both sides by 4",
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"timestamp": "07/14/2022 02:46:29",
"content": "thats unnecessary and you didnt multiply u by 4",
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"timestamp": "07/14/2022 02:46:39",
"content": "doing so would give you $\\frac{11}{2} \\cdot 4 = \\frac{9}{4} \\cdot 4 + u {\\color{red} {} \\cdot 4}$",
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"timestamp": "07/14/2022 02:46:49",
"content": "**Ann**",
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"timestamp": "07/14/2022 02:46:56",
"content": "How is that unecessary",
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"timestamp": "07/14/2022 02:47:11",
"content": "you would end up dividing both sides by 4 afterwards.",
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"timestamp": "07/14/2022 02:47:23",
"content": "nothing wrong with choosing to do it that way to clear the fractions btw",
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"timestamp": "07/14/2022 02:47:27",
"content": "but you fucked up while doing it",
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"timestamp": "07/14/2022 02:47:34",
"content": "Ohhh",
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"timestamp": "07/14/2022 02:47:49",
"content": "But I never did that before",
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"timestamp": "07/14/2022 02:48:25",
"content": "When I multiply to both sides I did it specific equation tho",
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"timestamp": "07/14/2022 02:48:35",
"content": "Till now",
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"timestamp": "07/14/2022 02:48:44",
"content": "Maybe two step equation is different",
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"timestamp": "07/14/2022 02:49:37",
"content": "i think you're misunderstanding",
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"timestamp": "07/14/2022 02:49:49",
"content": "there's nothing wrong with multiplying both sides by 4 in this equation",
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"author_name": "Ann",
"timestamp": "07/14/2022 02:49:53",
"content": "it's not, like, an illegal move",
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"timestamp": "07/14/2022 02:49:55",
"content": "it's never an illegal move",
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"timestamp": "07/14/2022 02:50:06",
"content": "your mistake was that you didn't do it properly",
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"timestamp": "07/14/2022 02:50:09",
"content": "Does that goes same for addition and substractiob",
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"timestamp": "07/14/2022 02:50:20",
"content": "wdym by \"that\"? legality?",
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"timestamp": "07/14/2022 02:50:31",
"content": "No",
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"timestamp": "07/14/2022 02:50:43",
"content": "Multiplying both sides",
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"author_name": ".,..",
"timestamp": "07/14/2022 02:51:08",
"content": "What about subtraction and addition?",
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"id": 997032543134154800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/14/2022 02:51:22",
"content": "the word \"subtraction\" does not have a second S.",
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"timestamp": "07/14/2022 02:51:23",
"content": "Can u explain me those rules",
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"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/14/2022 02:51:37",
"content": "what rules",
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"author_name": "ekso2",
"timestamp": "07/14/2022 02:52:19",
"content": "I solved other equation by doing operation on specific term",
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"author_name": "ekso2",
"timestamp": "07/14/2022 02:53:01",
"content": "You have to think about all of them ?",
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"author_name": "Ann",
"timestamp": "07/14/2022 02:53:23",
"content": "sorry, i do not understand what you are asking.",
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"timestamp": "07/14/2022 02:54:23",
"content": "All terms of some side",
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"author_name": ".,..",
"timestamp": "07/14/2022 02:54:43",
"content": "so you asking if we subtract or add to all of the terms?",
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"timestamp": "07/14/2022 02:55:00",
"content": "Yes",
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"timestamp": "07/14/2022 02:55:14",
"content": "lets say we add 3 to both sides",
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"timestamp": "07/14/2022 02:55:22",
"content": "Ok",
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"author_name": ".,..",
"timestamp": "07/14/2022 02:55:23",
"content": "we just throw it to both sides once",
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"timestamp": "07/14/2022 02:55:27",
"content": "not to all of them",
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"timestamp": "07/14/2022 02:55:29",
"content": "formally, when you multiply both sides by 4 in $\\frac{11}{2} = \\frac{9}{4} + u$, what you get is $$4 \\cdot \\paren{\\frac{11}{2}} = 4 \\cdot \\paren{\\frac{9}{4} + u}$$",
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"timestamp": "07/14/2022 02:55:32",
"content": "**Ann**",
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"timestamp": "07/14/2022 02:55:40",
"content": "and simplification can occur thereafter",
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"author_name": "ekso2",
"timestamp": "07/14/2022 02:56:19",
"content": "Even if u are doing it to get rid of one term's denominator ?",
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"timestamp": "07/14/2022 02:56:40",
"content": "the answer stays the same",
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"timestamp": "07/14/2022 02:57:18",
"content": "There is 1 on denominator of 4 right",
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"author_name": ".,..",
"timestamp": "07/14/2022 02:57:40",
"content": "Why?",
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"timestamp": "07/14/2022 02:57:52",
"content": "Show me example of addition and substractiob",
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"timestamp": "07/14/2022 02:57:55",
"content": "yes if you want to add it",
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"author_name": ".,..",
"timestamp": "07/14/2022 02:58:26",
"content": "$3x-3=6$ add 3 to both sides $3x-3+3=6+3$",
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"timestamp": "07/14/2022 02:58:28",
"content": "**dotcom**",
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"timestamp": "07/14/2022 02:58:43",
"content": "(3x-3) + 3 = 6 + 3",
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"author_name": "ekso2",
"timestamp": "07/14/2022 02:59:07",
"content": "So we add brackets and it's still all the same ?",
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"id": 997034735438155900,
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"author_name": "Ann",
"timestamp": "07/14/2022 03:00:04",
"content": "i write parentheses to emphasize that you do not add or multiply to just _one_ term but to the _entire_ left-hand or right-hand side.",
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"timestamp": "07/14/2022 03:00:12",
"content": "or at least that's what i'm trying to convey.",
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"timestamp": "07/14/2022 03:00:15",
"content": "and probably failing.",
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"author_name": "ekso2",
"timestamp": "07/14/2022 03:01:26",
"content": "(3x-3)+3\n\nIs same as \n\n3x-3+3? \n\nTo get rid of 3 right ?",
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"timestamp": "07/14/2022 03:02:03",
"content": "yeah",
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"timestamp": "07/14/2022 03:02:49",
"content": "Since we use reverse order of operation how do u solve it then ?",
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"timestamp": "07/14/2022 03:04:15",
"content": "@.,..",
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"author_name": "𝐅𝐑𝐎𝐒𝐊𝐘",
"timestamp": "07/14/2022 03:09:04",
"content": "So this is a general question,\nOnce i saw a video about a game in math that goes like this\nf(84) = 8×4 ➡️\nf(32) = 3×2 ➡️\nF(6) = 6\nAnd that's it so i wanna know the name of this game,\nI saw this in vedio from Matt parker if you have the original video i would be thankful",
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"timestamp": "07/14/2022 03:09:15",
"content": "@𝐅𝐑𝐎𝐒𝐊𝐘 this channel is occupied. #❓how-to-get-help",
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"author_name": "𝐅𝐑𝐎𝐒𝐊𝐘",
"timestamp": "07/14/2022 03:09:26",
"content": "Srry",
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"author_name": "Mathematics Bot",
"timestamp": "07/14/2022 03:19:15",
"content": "@ekso2 Has your question been resolved?",
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"author_name": "Ann",
"timestamp": "07/14/2022 03:24:13",
"content": "\"reverse order of operations\" is an oversimplification imo",
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"timestamp": "07/14/2022 03:29:15",
"content": "So it doesn't matter?",
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"author_name": "Ann",
"timestamp": "07/14/2022 03:29:43",
"content": "idk what you mean by \"it\"",
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"author_name": "ekso2",
"timestamp": "07/14/2022 03:29:58",
"content": "Reverse order of operation",
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"author_name": "Ann",
"timestamp": "07/14/2022 03:30:20",
"content": "so long as you are clear to yourself exactly what you are doing, and so long as you do it properly, then yes, it does not matter what algebraic moves you make and in what order",
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"author_name": "Ann",
"timestamp": "07/14/2022 03:30:54",
"content": "i suggest that next time you do algebra you take the time to write out IN WORDS what you do at every step",
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"author_name": "ekso2",
"timestamp": "07/14/2022 03:31:18",
"content": "Can u tell me how to how to do other operations than multiplication involving parenthesis ?",
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"timestamp": "07/14/2022 03:32:31",
"content": "wrap the entire lhs and the entire rhs in a pair of parentheses, then do the operation.",
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"timestamp": "07/14/2022 03:32:34",
"content": "this goes for everything.",
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"timestamp": "07/14/2022 03:33:05",
"content": "Can u show by solving",
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"author_name": "Ann",
"timestamp": "07/14/2022 03:33:29",
"content": "give me an equation and give me an operation to perform on both sides",
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"timestamp": "07/14/2022 03:34:02",
"content": "Ok",
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"author_name": "ekso2",
"timestamp": "07/14/2022 03:34:59",
"content": "This guy is actually substracting and adding by specific term tho : \nhttps://youtu.be/4grXNGukIUM",
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"author_name": "Ann",
"timestamp": "07/14/2022 03:35:51",
"content": "ok so you did not do as i asked",
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"author_name": "Ann",
"timestamp": "07/14/2022 03:37:52",
"content": "okay, and what do you want me to do on both sides?",
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"timestamp": "07/14/2022 03:38:13",
"content": "Do anything to get rid of u",
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"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/14/2022 03:38:21",
"content": "what do you mean \"get rid of\"?",
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"author_name": "Ann",
"timestamp": "07/14/2022 03:38:35",
"content": "whatever i do to both sides here, the letter u will still appear **somewhere**.",
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"timestamp": "07/14/2022 03:38:42",
"content": "I mean",
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"timestamp": "07/14/2022 03:38:49",
"content": "Get value of u",
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"timestamp": "07/14/2022 03:39:18",
"content": "Simplify for me",
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"timestamp": "07/14/2022 03:39:33",
"content": "Every step",
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"author_name": "Ann",
"timestamp": "07/14/2022 03:39:35",
"content": "ok so you won't supply an operation for me to do and leave it for me to figure out",
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"timestamp": "07/14/2022 03:41:03",
"content": "5/1 + 1/2 = 9/4+u \n\nGet rid of 4",
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"author_name": "Ann",
"timestamp": "07/14/2022 03:41:28",
"content": "\"get rid of\" is not an algebraic operation",
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"timestamp": "07/14/2022 03:41:53",
"content": "Multiply both by 4",
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"timestamp": "07/14/2022 03:42:00",
"content": "okay",
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"timestamp": "07/14/2022 03:42:15",
"content": "4(5/1+1/2) = 4(9/4+u)",
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"author_name": "Ann",
"timestamp": "07/14/2022 03:42:20",
"content": "do you also want me to do cleanup",
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"timestamp": "07/14/2022 03:42:29",
"content": "?",
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"author_name": "Ann",
"timestamp": "07/14/2022 03:42:40",
"content": "do you also want me to simplify either side",
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"timestamp": "07/14/2022 03:42:46",
"content": "Yes",
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"author_name": "Ann",
"timestamp": "07/14/2022 03:43:21",
"content": "ok",
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"timestamp": "07/14/2022 03:43:27",
"content": "22 = 9 + 4u",
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"author_name": "ekso2",
"timestamp": "07/14/2022 03:43:55",
"content": "Great but",
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"author_name": "ekso2",
"timestamp": "07/14/2022 03:44:14",
"content": "What if it's substraction or addition",
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"author_name": "Ann",
"timestamp": "07/14/2022 03:44:51",
"content": "if you want me to demonstrate adding or subtracting something to both sides, then give me an equation and TELL me what to add or subtract to both sides",
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"timestamp": "07/14/2022 03:45:09",
"content": "Let me find more example",
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"author_name": "Ann",
"timestamp": "07/14/2022 03:45:11",
"content": "or i could just share how i would write out the solution of your equation in full full detail",
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"author_name": "Fareel",
"timestamp": "07/14/2022 03:46:43",
"content": "hey @ekso2, can you simplify the \"22=9+4u\" into a \"4u = ...\" ?",
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"timestamp": "07/14/2022 03:46:53",
"content": "then you can just divide both side by 4",
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"timestamp": "07/14/2022 03:47:40",
"content": "Simplify this parenthesis",
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"author_name": "Ann",
"timestamp": "07/14/2022 03:48:43",
"content": "which ones",
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"author_name": "Ann",
"timestamp": "07/14/2022 03:49:27",
"content": "here is what i offered here btw, just in case:\n\n**11/2 - u = 9/4**\nsubtract 11/2 from both sides\n**(11/2 - u) - 11/2 = 9/4 - 11/2**\nsimplify on the left\n**-u = 9/4 - 11/2**\nsimplify on the right\n**-u = 9/4 - 22/4**\n**-u = -13/4**\nmultiply both sides by -1\n**-(-u) = -(-13/4)**\nsimplify on the left\n**u = -(-13/4)**\nsimplify on the right\n**u = 13/4**",
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"timestamp": "07/14/2022 03:54:17",
"content": "Add 3/4 to both sides",
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"timestamp": "07/14/2022 03:54:25",
"content": "Is it legal @Ann",
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"timestamp": "07/14/2022 03:54:35",
"content": "yes it's legal",
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"author_name": "Ann",
"timestamp": "07/14/2022 03:54:39",
"content": "no matter which equation",
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"timestamp": "07/14/2022 03:54:54",
"content": "you **can** always add 3/4 to both sides",
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"timestamp": "07/14/2022 03:54:55",
"content": "You can do anything as long as you do it to both sides",
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"author_name": "Ann",
"timestamp": "07/14/2022 03:55:07",
"content": "whether it's HELPFUL is a different matter",
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"timestamp": "07/14/2022 03:55:14",
"content": "Yeah",
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"author_name": "ekso2",
"timestamp": "07/14/2022 03:55:20",
"content": "Add it tho",
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"timestamp": "07/14/2022 03:55:31",
"content": "you can",
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"timestamp": "07/14/2022 03:55:54",
"content": "They dont change the answer",
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"timestamp": "07/14/2022 03:56:01",
"content": "unless you do it wrong",
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"author_name": ".,..",
"timestamp": "07/14/2022 03:56:56",
"content": "But you could just take 5c/9 from both sides",
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"author_name": "ekso2",
"timestamp": "07/14/2022 03:57:56",
"content": "Wouldn't that be \n47/45",
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"author_name": "ekso2",
"timestamp": "07/14/2022 03:58:11",
"content": "47/45×c",
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"author_name": "ramonov",
"timestamp": "07/14/2022 03:58:15",
"content": "wdym by \"that\"",
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"author_name": ".,..",
"timestamp": "07/14/2022 03:58:23",
"content": "What?",
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"timestamp": "07/14/2022 03:58:33",
"content": "Left side",
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"author_name": ".,..",
"timestamp": "07/14/2022 03:58:54",
"content": "after you add 3/4 to both sides?",
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"timestamp": "07/14/2022 03:59:09",
"content": "Ye",
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"timestamp": "07/14/2022 03:59:14",
"content": "Hell no",
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"timestamp": "07/14/2022 03:59:19",
"content": "How",
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"timestamp": "07/14/2022 03:59:25",
"content": "you are just left with 5/9 c",
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"timestamp": "07/14/2022 04:00:03",
"content": "5/9+3/4",
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"timestamp": "07/14/2022 04:00:43",
"content": "https://youtu.be/Z-ZkmpQBIFo",
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"timestamp": "07/14/2022 04:03:34",
"content": "@.,.. so u have to add it in equation instead of adding it to each term of equation ?",
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"timestamp": "07/14/2022 04:04:09",
"content": "when adding you just add it to both sides",
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"timestamp": "07/14/2022 04:04:14",
"content": "look at the video",
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"timestamp": "07/14/2022 04:04:21",
"content": "Then why the hell we multiply each term",
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"timestamp": "07/14/2022 04:04:54",
"content": "we dont unless we have to",
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"timestamp": "07/14/2022 04:06:21",
"content": "Is are saying (5/9×c×3/4) × 9 is same as \n\n5/9×c×3/4×9?",
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"author_name": "Existence",
"timestamp": "07/14/2022 04:07:07",
"content": "How to solve a system of linear equations quickly? Matrices and determinants.",
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"timestamp": "07/14/2022 04:07:37",
"content": "@.,..",
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"timestamp": "07/14/2022 04:37:37",
"content": "@ekso2 Has your question been resolved?",
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"timestamp": "07/14/2022 05:07:37",
"content": "Channel closed",
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}
] |
help-9
|
b44faec219f14f71a0eb218fe7c6d701
|
197,142 |
[
{
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"timestamp": "07/14/2022 05:08:41",
"content": "Available help channel!",
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{
"id": 997072268712742900,
"author_id": 852595755302912000,
"author_name": "YoursTruly",
"timestamp": "07/14/2022 05:29:13",
"content": "As mentioned 1/(1/x) is just another way to write \"x\" so why is g(x) undefined at x=0 unlike f(x)?",
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"content": "Pinned a message.",
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"author_name": "YoursTruly",
"timestamp": "07/14/2022 05:30:01",
"content": "If this is how mathematical logic works in this case then can't we re-write f(x) = x as 1/(1/x) and say that it is undefined at x = 0?",
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"id": 997072978187657300,
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"timestamp": "07/14/2022 05:32:02",
"content": "If by rewriting the function you introduce points where it is not defined, then the rewriting has produced a different function",
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"timestamp": "07/14/2022 05:32:41",
"content": "But vice-versa is not true since g(x)=x ?",
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"content": "What do you mean",
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"id": 997073475485306900,
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"author_name": "iCaird",
"timestamp": "07/14/2022 05:34:01",
"content": "f is defined at zero, g is not, they are different functions",
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"timestamp": "07/14/2022 05:34:42",
"content": "I see. Thank you for your assistance and time.",
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"content": ".close",
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] |
help-9
|
5e0d1bb30dd5434ba30076f420a679a6
|
197,143 |
[
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"timestamp": "07/14/2022 05:39:15",
"content": "Available help channel!",
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"content": "**Annie.**",
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"id": 997079343723466800,
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"author_name": "Ann",
"timestamp": "07/14/2022 05:57:20",
"content": "...is that true? looks suspicious to me.",
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{
"id": 997079390213116000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/14/2022 05:57:31",
"content": "where did you hear this?",
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"id": 997079490486358000,
"author_id": 966787705528803300,
"author_name": "Annie.",
"timestamp": "07/14/2022 05:57:55",
"content": "So in the complete formula they integrate from 0 to infinity",
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"id": 997079577044197500,
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"author_name": "Ann",
"timestamp": "07/14/2022 05:58:16",
"content": "are you reading a paper or doing a math problem rn",
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"id": 997079637005959200,
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"author_name": "Annie.",
"timestamp": "07/14/2022 05:58:30",
"content": "its an equation from a paper",
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},
{
"id": 997079663388147700,
"author_id": 966787705528803300,
"author_name": "Annie.",
"timestamp": "07/14/2022 05:58:36",
"content": "I can write it dowm",
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},
{
"id": 997079683390771200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/14/2022 05:58:41",
"content": "can you show me the paper",
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},
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"id": 997079707227009000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/14/2022 05:58:47",
"content": "or a screenshot from it",
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"id": 997080976444371000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/14/2022 06:03:49",
"content": "oh",
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"id": 997081011877859300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/14/2022 06:03:58",
"content": "they substitute x = y^m in the integral!",
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{
"id": 997081091678675000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/14/2022 06:04:17",
"content": "and then simplify the ineq T_e^m > y^m into T_e > y",
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"id": 997081143373475800,
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"timestamp": "07/14/2022 06:04:29",
"content": "the distribution of T_e need not be known in fact",
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"id": 997081171013926900,
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"timestamp": "07/14/2022 06:04:36",
"content": "(e for epsilon i'm on phone)",
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"id": 997081334256238700,
"author_id": 966787705528803300,
"author_name": "Annie.",
"timestamp": "07/14/2022 06:05:14",
"content": "Oh, I feel so dumb now, haha...",
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"timestamp": "07/14/2022 06:07:48",
"content": "But also why does the last asymptotic hold, so the limit of the quotient should go to 1 between the last two...but doesn't it go to 0?",
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"timestamp": "07/14/2022 06:10:29",
"content": "Channel closed",
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}
] |
help-9
|
ce2cac309a974e1dae8796f7ec225faa
|
197,144 |
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"id": 997082781261779000,
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"timestamp": "07/14/2022 06:10:59",
"content": "well now the channel cannot be reopened",
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"content": "..",
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"id": 997083139753115600,
"author_id": 966787705528803300,
"author_name": "Annie.",
"timestamp": "07/14/2022 06:12:25",
"content": "Can I not open it again somehow",
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"timestamp": "07/14/2022 06:12:25",
"content": "Pinned a message.",
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"id": 997083321311965300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/14/2022 06:13:08",
"content": "you have just done so",
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"id": 997083324713545900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/14/2022 06:13:09",
"content": "alright",
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"id": 997083392820650000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/14/2022 06:13:25",
"content": "i don't see what you're talking about tho",
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},
{
"id": 997083409266516000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/14/2022 06:13:29",
"content": "Gamma(m) is constant in epsilon",
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"id": 997083433526382600,
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"author_name": "Ann",
"timestamp": "07/14/2022 06:13:35",
"content": "and log(1-ε) ~ -ε",
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"id": 997083483132416000,
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"timestamp": "07/14/2022 06:13:47",
"content": "so you have that the denom is |-ε|^m asymptotically",
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"id": 997083868182098000,
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"timestamp": "07/14/2022 06:15:19",
"content": "I was just confused about the asymptotic for $\\epsilon \\uparrow 1$...",
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"id": 997083881394155600,
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"timestamp": "07/14/2022 06:15:22",
"content": "**Annie.**",
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"timestamp": "07/14/2022 06:16:05",
"content": "yeah, $\\varepsilon \\to 1^-$, so what",
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"id": 997084072524386300,
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"timestamp": "07/14/2022 06:16:07",
"content": "**Ann**",
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"timestamp": "07/14/2022 06:16:18",
"content": "1-ε goes to",
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"id": 997084124932231200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/14/2022 06:16:20",
"content": "oh wait",
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"id": 997084219270496300,
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"author_name": "Ann",
"timestamp": "07/14/2022 06:16:42",
"content": "hang on",
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"timestamp": "07/14/2022 06:16:44",
"content": ":thonk:",
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"id": 997085256937128100,
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"author_name": "Annie.",
"timestamp": "07/14/2022 06:20:50",
"content": "So for this last $\\sim$ I would need to have that $\\lim_{\\epsilon \\uparrow 1} \\frac{(1-\\epsilon)\\epsilon^m}{\\vert\\ln(1-\\epsilon )\\vert^m}=1$, but how?",
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"id": 997085865543213000,
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"timestamp": "07/14/2022 06:23:15",
"content": "**Annie.**",
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"timestamp": "07/14/2022 06:24:46",
"content": "huh",
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},
{
"id": 997086280154349600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/14/2022 06:24:54",
"content": "this is confusng me too now",
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},
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"id": 997086368058572800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/14/2022 06:25:15",
"content": "i mean",
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},
{
"id": 997086393799024600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/14/2022 06:25:21",
"content": "worst case scenario",
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},
{
"id": 997086410685292500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/14/2022 06:25:25",
"content": "we could just l'hôpital that shit",
"attachments": [],
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},
{
"id": 997086466905735300,
"author_id": 966787705528803300,
"author_name": "Annie.",
"timestamp": "07/14/2022 06:25:38",
"content": "Yeah right",
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},
{
"id": 997088253037514800,
"author_id": 966787705528803300,
"author_name": "Annie.",
"timestamp": "07/14/2022 06:32:44",
"content": "But it also doesn't really help? Or maybe I made a mistake...",
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"timestamp": "07/14/2022 06:47:44",
"content": "@Annie. Has your question been resolved?",
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"timestamp": "07/14/2022 07:20:07",
"content": "@Annie. Has your question been resolved?",
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"timestamp": "07/14/2022 08:36:32",
"content": "@Annie. Has your question been resolved?",
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"timestamp": "07/14/2022 09:36:32",
"content": "Channel closed",
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}
] |
help-9
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1c00bb98381749799c118d3a13633583
|
197,145 |
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"timestamp": "07/14/2022 09:37:33",
"content": "Available help channel!",
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"author_id": 792728719482945500,
"author_name": "JujuN18",
"timestamp": "07/14/2022 09:54:46",
"content": "Can someone please help me",
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},
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"id": 997139099125293000,
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"content": "Pinned a message.",
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"content": "A) when the profit they receive = the amount they spent in the begining",
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"content": "B) factor square",
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"content": "Or derive",
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"author_id": 852256521986768900,
"author_name": ".,..",
"timestamp": "07/14/2022 09:56:38",
"content": "they break even at 0",
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"timestamp": "07/14/2022 09:57:05",
"content": "Oh shit bro I'm so stupif",
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"timestamp": "07/14/2022 09:57:10",
"content": "I though profit was revenue",
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"timestamp": "07/14/2022 09:57:17",
"content": "So factor for a. Then",
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"content": "And for c find maximum",
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"content": "Idk I solve it can I send the answer to make sure it’s right?",
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"timestamp": "07/14/2022 09:58:15",
"content": "Yes",
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"timestamp": "07/14/2022 09:58:33",
"content": "Okay tu",
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"timestamp": "07/14/2022 09:58:56",
"content": "-2(x-3)(x-7)",
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"content": "=0",
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"timestamp": "07/14/2022 09:59:11",
"content": "So x = 3 or 7",
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"timestamp": "07/14/2022 09:59:16",
"content": "X is n",
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"timestamp": "07/14/2022 10:00:39",
"content": "Yeh that's right",
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"timestamp": "07/14/2022 10:00:48",
"content": "Does that answer a?",
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"content": "And that = 0",
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"timestamp": "07/14/2022 10:01:05",
"content": "So n = 3 or 7",
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"timestamp": "07/14/2022 10:01:11",
"content": "You need to determine which one",
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"timestamp": "07/14/2022 10:01:24",
"content": "Or both",
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"content": "How would I do that",
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"timestamp": "07/14/2022 10:01:59",
"content": "Wait I’m kinda confused do I need to determine which one to answer a?",
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"timestamp": "07/14/2022 10:03:26",
"content": "both of them breaks even",
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"author_name": "MarveI",
"timestamp": "07/14/2022 10:03:37",
"content": "does the question ask for only 1 answer?",
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"timestamp": "07/14/2022 10:04:51",
"content": "No it doesn’t",
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"timestamp": "07/14/2022 10:05:00",
"content": "I need to answer b and c also",
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"timestamp": "07/14/2022 10:05:03",
"content": "But idk how",
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"timestamp": "07/14/2022 10:05:51",
"content": "That’s the answer?",
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"content": "…",
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"timestamp": "07/14/2022 10:07:48",
"content": "for a, yes",
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"content": "ok so",
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"timestamp": "07/14/2022 10:08:00",
"content": "do you know how to find the maximum of a quadratic equation",
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"content": "@JujuN18",
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"timestamp": "07/14/2022 10:11:18",
"content": "Yes -b/2a right?",
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"timestamp": "07/14/2022 10:11:28",
"content": "wait what",
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"timestamp": "07/14/2022 10:12:24",
"content": "$x = c - \\frac{b^2}{4a}$",
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"timestamp": "07/14/2022 10:12:27",
"content": "**MarveI**",
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"timestamp": "07/14/2022 10:12:34",
"content": "oh",
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"timestamp": "07/14/2022 10:12:57",
"content": "where x = highest point",
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"timestamp": "07/14/2022 10:13:30",
"content": "Okay",
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"timestamp": "07/14/2022 10:13:41",
"content": "and then you just insert the x that you get from this equation into the original equation and you get the answer for c",
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"timestamp": "07/14/2022 10:14:01",
"content": "uhh",
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"timestamp": "07/14/2022 10:14:12",
"content": "Would that be 3 or 7?",
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"timestamp": "07/14/2022 10:14:19",
"content": "oh",
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"timestamp": "07/14/2022 10:14:24",
"content": "you dont have the x rn",
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"timestamp": "07/14/2022 10:14:26",
"content": "Directly in the middle",
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"timestamp": "07/14/2022 10:14:32",
"content": "Yeah",
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"timestamp": "07/14/2022 10:14:41",
"content": "this also works",
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"timestamp": "07/14/2022 10:14:49",
"content": "wdym by that?",
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"timestamp": "07/14/2022 10:14:49",
"content": "This is a quadratic so symmetrical",
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"timestamp": "07/14/2022 10:15:01",
"content": "So the point better the 2 roots",
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"content": "^",
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"timestamp": "07/14/2022 10:15:06",
"content": "Is the maximum X value",
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"timestamp": "07/14/2022 10:15:07",
"content": "Can you write the equation so I can understand it better?",
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"content": "",
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"timestamp": "07/14/2022 10:16:11",
"content": "it could also be the lowest point",
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"timestamp": "07/14/2022 10:16:25",
"content": "Ohh",
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"timestamp": "07/14/2022 10:16:27",
"content": "Okay",
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"author_name": "JujuN18",
"timestamp": "07/14/2022 10:16:36",
"content": "So what would I plug 5 into?",
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"timestamp": "07/14/2022 10:16:53",
"content": "Or is 5=x",
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"timestamp": "07/14/2022 10:16:57",
"content": "If the coefficient of n was positive",
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"timestamp": "07/14/2022 10:17:29",
"content": "so how would I answer b?",
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"author_name": "Mathematics Bot",
"timestamp": "07/14/2022 10:32:29",
"content": "@JujuN18 Has your question been resolved?",
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"timestamp": "07/14/2022 10:47:30",
"content": "Channel closed",
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] |
help-9
|
cfe483146a5344848f80413c99e5e9e4
|
197,146 |
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"author_name": "Mathematics Bot",
"timestamp": "07/14/2022 10:48:30",
"content": "Available help channel!",
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{
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"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 10:49:45",
"content": "Hello I need help with math",
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{
"id": 997152935731531900,
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"timestamp": "07/14/2022 10:49:46",
"content": "Pinned a message.",
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"timestamp": "07/14/2022 10:49:59",
"content": "@Helpers",
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"author_name": "Mathematics Bot",
"timestamp": "07/14/2022 10:50:09",
"content": "Please only use the @Helpers ping **once** if your question has not been answered **for 15 minutes**. Please do not ping or DM individual users about your question.",
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"timestamp": "07/14/2022 10:53:43",
"content": "@Helpers",
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"timestamp": "07/14/2022 10:57:25",
"content": "What's the question",
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"timestamp": "07/14/2022 10:58:53",
"content": "I have to create a algebraic model with the following transformation listed above",
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"timestamp": "07/14/2022 10:59:23",
"content": "Are you able to help me",
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"timestamp": "07/14/2022 10:59:28",
"content": "Sure",
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"author_name": "Mkm_az",
"timestamp": "07/14/2022 10:59:39",
"content": "thanks",
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"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 11:00:11",
"content": "So should I assume the functions are x^2, √x, and 1/x, respectively?",
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"content": "yes",
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"timestamp": "07/14/2022 11:00:23",
"content": "yes",
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"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 11:00:55",
"content": "I'm not going to help you with modeling",
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"author_name": "AirToastie",
"timestamp": "07/14/2022 11:01:04",
"content": "Let's go with domains first",
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"timestamp": "07/14/2022 11:01:05",
"content": "ok",
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"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 11:01:14",
"content": "What's a domain of any quadratic function",
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"timestamp": "07/14/2022 11:01:27",
"content": "xeR",
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"timestamp": "07/14/2022 11:01:30",
"content": "Yes",
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"id": 997155898210398300,
"author_id": 687293557106802700,
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"timestamp": "07/14/2022 11:01:32",
"content": "Nice",
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"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 11:01:38",
"content": "What about the range?",
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"author_name": "AirToastie",
"timestamp": "07/14/2022 11:02:03",
"content": "Well, the teacher was nice enough to let you choose your own range",
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"id": 997156075759476700,
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"timestamp": "07/14/2022 11:02:14",
"content": "yes",
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"id": 997156177962090500,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 11:02:39",
"content": "So choose a value for horizontal stretch and translation for x",
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"id": 997156299018096600,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:03:07",
"content": "4,3",
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"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 11:03:47",
"content": "What will the equation look like?",
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"timestamp": "07/14/2022 11:04:50",
"content": "f(x)=3()+4",
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"timestamp": "07/14/2022 11:04:53",
"content": "?",
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"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:05:00",
"content": "I dont know what goes in the brackets",
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"author_name": "AirToastie",
"timestamp": "07/14/2022 11:05:08",
"content": "$f\\left(x\\right)=\\frac{1}{4}\\left(x-3\\right)^{2}$",
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"timestamp": "07/14/2022 11:05:10",
"content": "**AirToastie**",
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"timestamp": "07/14/2022 11:05:14",
"content": "It should look like this",
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"timestamp": "07/14/2022 11:05:24",
"content": "okk",
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"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 11:05:32",
"content": "Horizontal stretch means that the graph is expanding left and right, right?",
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"timestamp": "07/14/2022 11:05:39",
"content": "yes",
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"author_name": "AirToastie",
"timestamp": "07/14/2022 11:06:07",
"content": "$f\\left(x\\right)=a\\left(k\\left(x-d\\right)^{2}\\right)+c$",
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"timestamp": "07/14/2022 11:06:09",
"content": "**AirToastie**",
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"timestamp": "07/14/2022 11:06:19",
"content": "Say this is the basic function of quadratics",
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"timestamp": "07/14/2022 11:06:26",
"content": "Your a value should be always in fractions",
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"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:06:30",
"content": "yes this is basic function",
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"timestamp": "07/14/2022 11:06:34",
"content": "a*",
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"timestamp": "07/14/2022 11:06:48",
"content": "Because it's horizontal stretch",
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"timestamp": "07/14/2022 11:06:55",
"content": "d is the movement left and right",
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"timestamp": "07/14/2022 11:07:08",
"content": "If you look here, our d is 3",
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"timestamp": "07/14/2022 11:07:16",
"content": "ok now how about for Root function",
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"author_name": "AirToastie",
"timestamp": "07/14/2022 11:07:43",
"content": "Reflection on the y-axis, Vertical stretch, Vertical translation",
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"timestamp": "07/14/2022 11:07:59",
"content": "Choose for these two: Vertical stretch, Vertical translation",
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"timestamp": "07/14/2022 11:08:14",
"content": "Vertical stretch by lets say 7, vertical trans by 2",
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"timestamp": "07/14/2022 11:08:33",
"content": "There should be a minus in the front because we are reflecting on the x-axis btw",
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"timestamp": "07/14/2022 11:08:39",
"content": "yes",
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"author_name": "AirToastie",
"timestamp": "07/14/2022 11:08:43",
"content": "All right, good",
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"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 11:08:48",
"content": "What will be your equation",
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"timestamp": "07/14/2022 11:08:57",
"content": "not sure",
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"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:10:17",
"content": "F(x)=7root-2(x-d)+c",
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"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:10:41",
"content": "are u still there",
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"timestamp": "07/14/2022 11:10:51",
"content": "$f\\left(x\\right)=7\\left(\\sqrt{-x}+2\\right)$",
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"id": 997158251089121400,
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"timestamp": "07/14/2022 11:10:53",
"content": "**AirToastie**",
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"author_name": "AirToastie",
"timestamp": "07/14/2022 11:10:55",
"content": "This should be the answer",
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"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 11:11:06",
"content": "d is left and right translation",
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"id": 997158326536249300,
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"author_name": "AirToastie",
"timestamp": "07/14/2022 11:11:11",
"content": "we want c in this case",
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"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:11:19",
"content": "thanks man",
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"id": 997158365094478000,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 11:11:20",
"content": "because we want to translate up and down",
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"author_name": "AirToastie",
"timestamp": "07/14/2022 11:11:27",
"content": "I hope you can do the rest on your own",
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"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:11:35",
"content": "ok and for the rational",
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"id": 997158489086496900,
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"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:11:50",
"content": "after the rational equation Im all set",
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"id": 997158563032080500,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 11:12:07",
"content": "Try it yourself, and I'll check if it's right",
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"id": 997158582539788400,
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"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:12:12",
"content": "ok",
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"id": 997158624130506900,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 11:12:22",
"content": "And tell me the conditions once finished",
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"id": 997159059541209100,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:14:06",
"content": "im stuck",
"attachments": [],
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},
{
"id": 997159103518490800,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:14:16",
"content": "I dont know how to form the equation",
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"id": 997159919495159900,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:17:31",
"content": "for this equation",
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"id": 997160113154555900,
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"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:18:17",
"content": "is this the ranger f(x)e(0,+infinite)",
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"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:18:26",
"content": "@Helpers",
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"id": 997161666112397400,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:24:27",
"content": "@TeXit",
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"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:24:41",
"content": "@Helpers Help",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/14/2022 11:39:41",
"content": "@Mkm_az Has your question been resolved?",
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"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:39:56",
"content": "hello no",
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"id": 997165649778454500,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:40:17",
"content": "can someone help me",
"attachments": [],
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},
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"id": 997165679830643000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/14/2022 11:40:24",
"content": "idk, maybe airtoastie can",
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"id": 997165719483596900,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/14/2022 11:40:33",
"content": "he said he'll check it",
"attachments": [],
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},
{
"id": 997165728656531500,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:40:36",
"content": "he left",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 997165784654688300,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:40:49",
"content": "like 25 mins ago",
"attachments": [],
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},
{
"id": 997165949067215000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/14/2022 11:41:28",
"content": "maybe he's still waiting",
"attachments": [],
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},
{
"id": 997165961029374000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/14/2022 11:41:31",
"content": "who knows",
"attachments": [],
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{
"id": 997166284905136300,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:42:48",
"content": "marvel are u able to help me",
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{
"id": 997166321475268600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/14/2022 11:42:57",
"content": "no",
"attachments": [],
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{
"id": 997166422704799900,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:43:21",
"content": "why not",
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},
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"id": 997166799378452600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 11:44:51",
"content": "What exactly are you having trouble with?",
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 11:46:38",
"content": "@Mkm_az Fyi\n> Don't ask for help in other channels if no one is responding in the one you have posted your question in.\nMeaning don't go into other channels trying to get your channel attention",
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"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:47:27",
"content": "hello sir",
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{
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"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:48:21",
"content": "Im struggling finding an equation that follows certain translations",
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"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:48:34",
"content": "@dldh06",
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"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:49:50",
"content": "@Helpers",
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},
{
"id": 997168079429697700,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:49:56",
"content": "I need a rational equation",
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"id": 997168510906159200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 11:51:39",
"content": "Stop abusing the ping and pinging helpers. You 5 times in a span of an hour. You don't ping every time no one helps you",
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"author_name": "dldh06",
"timestamp": "07/14/2022 11:51:59",
"content": "Then make a rational eqaution",
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 11:52:06",
"content": "Do you know what a rational equation is?",
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"id": 997168699419140200,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:52:24",
"content": "ok",
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{
"id": 997168856919461900,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:53:01",
"content": "I dont really know how to formulate an equation",
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 11:53:56",
"content": "Do you know the equation for a rational function?",
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{
"id": 997169369291423900,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:55:04",
"content": "yes f(x)=a/k(x-d) +c",
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"id": 997169501017739400,
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"author_name": "dldh06",
"timestamp": "07/14/2022 11:55:35",
"content": "So you just want to use whatever values for a, k, d, and c",
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"id": 997169541081727100,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:55:45",
"content": "yes",
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 11:55:59",
"content": "So then what's the issue?",
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},
{
"id": 997169713836724400,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:56:26",
"content": "I dont where to input the values",
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},
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"id": 997169771802022000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 11:56:40",
"content": "> whatever values for a, k, d, and c",
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},
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"id": 997169849572794400,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:56:58",
"content": "can you show me an example",
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"author_name": "dldh06",
"timestamp": "07/14/2022 11:57:32",
"content": "You literally put in any values you want",
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"id": 997170027545514000,
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"author_name": "dldh06",
"timestamp": "07/14/2022 11:57:41",
"content": "Pick whatever value you want for a",
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 11:57:47",
"content": "Then do the same for k",
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"id": 997170066812584100,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:57:50",
"content": "but it has to follow these transformation",
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"id": 997170158370042000,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 11:58:12",
"content": "this",
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},
{
"id": 997170317149606000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 11:58:50",
"content": "Which variable makes the reflection over the x axis?",
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},
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"id": 997170788681662600,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 12:00:42",
"content": "0",
"attachments": [],
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},
{
"id": 997170970022379500,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 12:01:25",
"content": "vertical comp by 5, horizontal trans to the left by 6",
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},
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 12:01:35",
"content": "I wasn't asking for values",
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},
{
"id": 997171059545612300,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 12:01:47",
"content": "how will this look like in a equation",
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},
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"id": 997171129615667200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 12:02:03",
"content": "Out of the letters, a, k, d, and c, which one does a reflection over the x axis?",
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"id": 997171189590016000,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 12:02:18",
"content": "k",
"attachments": [],
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},
{
"id": 997171369898946700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 12:03:01",
"content": "And what makes it reflect?",
"attachments": [],
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},
{
"id": 997171393684836400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 12:03:06",
"content": "The sign or value of k?",
"attachments": [],
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},
{
"id": 997171432402469000,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 12:03:16",
"content": "d",
"attachments": [],
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},
{
"id": 997171678272569500,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 12:04:14",
"content": "Not exactly what I'm asking",
"attachments": [],
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},
{
"id": 997171798015742100,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 12:04:43",
"content": "If the sign of the value is positive, what does it look like?",
"attachments": [],
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},
{
"id": 997171853284102300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 12:04:56",
"content": "What if it was negative?",
"attachments": [],
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},
{
"id": 997171942585028700,
"author_id": 756219351689986000,
"author_name": "Mkm_az",
"timestamp": "07/14/2022 12:05:17",
"content": "-d",
"attachments": [],
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},
{
"id": 997179493343047700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/14/2022 12:35:17",
"content": "@Mkm_az Has your question been resolved?",
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"id": 997187044281422000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/14/2022 13:05:18",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
f879eb30b0ab43ecb18291253e77e8b2
|
197,147 |
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{
"id": 997187296359092200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/14/2022 13:06:18",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 997187589134106600,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 13:07:28",
"content": "How can I make this into an automatic equation solver",
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"author_name": "Mathematics Bot",
"timestamp": "07/14/2022 13:07:28",
"content": "Pinned a message.",
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{
"id": 997187840049942700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/14/2022 13:08:27",
"content": "I'm not sure desmos can do that",
"attachments": [],
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},
{
"id": 997187865538736300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/14/2022 13:08:33",
"content": "you could just use wolframalpha?",
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},
{
"id": 997187914482057300,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 13:08:45",
"content": "What about automating d/dx?",
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},
{
"id": 997187963324743700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/14/2022 13:08:57",
"content": "again not sure if desmos can do that",
"attachments": [],
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},
{
"id": 997187987374878700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/14/2022 13:09:03",
"content": "and again you could just use wolframalpha",
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},
{
"id": 997188029745725400,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 13:09:13",
"content": "xD it's for understanding something",
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},
{
"id": 997188052701167600,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 13:09:18",
"content": "I know there is a calculator for these",
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},
{
"id": 997188180845531100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/14/2022 13:09:49",
"content": "you could do something like setting f'(x) = (f(x+h)-f(x))/h and then set h=0.00001 or something",
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},
{
"id": 997188188097482800,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 13:09:50",
"content": "One of my teachers did it, and I wanted to try it out myself too",
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},
{
"id": 997188445288026200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/14/2022 13:10:52",
"content": "oh you can just type f(x)=something and then type f'(x)",
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},
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"id": 997188639429755000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "07/14/2022 13:11:38",
"content": "You don't need the right side of the equation in the first line",
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"id": 997188661105934500,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "07/14/2022 13:11:43",
"content": "Just define f(x)",
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"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/14/2022 13:11:50",
"content": "or do $\\int_a^x f(t) dt$",
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"timestamp": "07/14/2022 13:11:52",
"content": "Then it will show the value of the integral",
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},
{
"id": 997188700930854900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/14/2022 13:11:53",
"content": "**Denascite**",
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"id": 997188873337712600,
"author_id": 132304137583984640,
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"timestamp": "07/14/2022 13:12:34",
"content": "https://i.imgur.com/WrUKJdv.png",
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"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/14/2022 13:12:50",
"content": "I assume you want something like this",
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},
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"id": 997189076325245000,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 13:13:22",
"content": "I think so?",
"attachments": [],
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},
{
"id": 997189144688201700,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 13:13:38",
"content": "I wanted the integral to show an answer",
"attachments": [],
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},
{
"id": 997189238992937000,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 13:14:01",
"content": "and for derivatives, I wanted to show an tangent line in a certain graph",
"attachments": [],
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},
{
"id": 997189887876939900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/14/2022 13:16:36",
"content": "https://i.imgur.com/vkSFiTB.png",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 997189895107911800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/14/2022 13:16:37",
"content": "like this?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 997190703924904100,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 13:19:50",
"content": "Oh wait",
"attachments": [],
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},
{
"id": 997190738066554900,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 13:19:58",
"content": "Integrals were easy ig 😂",
"attachments": [],
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},
{
"id": 997190771482558600,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 13:20:06",
"content": "But for derivatives, yes",
"attachments": [],
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},
{
"id": 997190803665461200,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 13:20:14",
"content": "",
"attachments": [
{
"id": 997190802751094900,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/997190802751094874/Screenshot_2022-07-15_at_2.20.11_AM.png",
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{
"id": 997190835122733200,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 13:20:22",
"content": "I think I came up with a similar one",
"attachments": [],
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},
{
"id": 997190928504725500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/14/2022 13:20:44",
"content": "yeah that's equivalent",
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},
{
"id": 997190954119340200,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 13:20:50",
"content": "Thanks for helping!",
"attachments": [],
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},
{
"id": 997190969256591500,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/14/2022 13:20:53",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 997190970879774700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/14/2022 13:20:54",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
5ceeac9a16a3476f8166533a1455aed1
|
197,148 |
[
{
"id": 997210739049771000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/14/2022 14:39:27",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 997211672861212700,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 14:43:10",
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"timestamp": "07/14/2022 14:43:10",
"content": "Pinned a message.",
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{
"id": 997211696483549200,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 14:43:15",
"content": "What am I supposed to do here?",
"attachments": [],
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},
{
"id": 997211745053577200,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 14:43:27",
"content": "Its a practice quiz btw, not for marks",
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},
{
"id": 997211896929329300,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 14:44:03",
"content": "I will be using a*n! but for which one do I use it on?",
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},
{
"id": 997212818707329200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 14:47:43",
"content": "The function is a * n!?",
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},
{
"id": 997213056121721000,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 14:48:39",
"content": "i will share this if it makes sense",
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},
{
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"author_name": "avidrunner",
"timestamp": "07/14/2022 14:49:18",
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"id": 997213292487516300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 14:49:36",
"content": "Is n supposed to be x?",
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},
{
"id": 997213395902288000,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 14:50:00",
"content": "n is the degree of the polynomial",
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},
{
"id": 997213565322788900,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 14:50:41",
"content": "But with this question they don’t say the degree or can I figure that out based on the values?",
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},
{
"id": 997213695635628000,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 14:51:12",
"content": "It looks like degree 2 to me",
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},
{
"id": 997213725729771600,
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"author_name": "avidrunner",
"timestamp": "07/14/2022 14:51:19",
"content": "Symmetrical on the y axis",
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},
{
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"author_name": "dldh06",
"timestamp": "07/14/2022 14:53:47",
"content": "You just can't guess and say it's degree 2",
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},
{
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 14:53:54",
"content": "And fyi, it's not degree 2",
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},
{
"id": 997214572563943600,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 14:54:41",
"content": "Oh",
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},
{
"id": 997214646509510800,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 14:54:59",
"content": "How did you determine it’s not degree 2?",
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},
{
"id": 997214790852288600,
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"author_name": "avidrunner",
"timestamp": "07/14/2022 14:55:33",
"content": "But I’m looking for leading coefficient meaning whatever degree it is, find the coefficient for the polynomial’s leading term",
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"id": 997214917289578500,
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"author_name": "dldh06",
"timestamp": "07/14/2022 14:56:03",
"content": "Do you know how to find the first difference, second difference, etc?",
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},
{
"id": 997214946964279300,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 14:56:10",
"content": "https://tenor.com/view/favorite-facts-equations-math-confused-gif-15404559",
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},
{
"id": 997215037389295700,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 14:56:32",
"content": "is it using factorial?",
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},
{
"id": 997215052010627200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 14:56:35",
"content": "No",
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},
{
"id": 997215079999213700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 14:56:42",
"content": "Much easier than that",
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},
{
"id": 997215186106724400,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 14:57:07",
"content": "Just subtract and find difference?",
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},
{
"id": 997215201193631900,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 14:57:11",
"content": "Here's an example",
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},
{
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"author_name": "dldh06",
"timestamp": "07/14/2022 14:57:12",
"content": "",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/997215204301602867/unknown.png",
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"author_name": "dldh06",
"timestamp": "07/14/2022 14:57:36",
"content": "First difference is degree 1, second difference is degree 2, etc",
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},
{
"id": 997215385159991400,
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"author_name": "dldh06",
"timestamp": "07/14/2022 14:57:55",
"content": "You keep going until the values are the same",
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{
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"author_name": "dldh06",
"timestamp": "07/14/2022 14:58:33",
"content": "So notice how the second difference, in that image, the values are all 2. If that happens, then that means it's that degree",
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"author_name": "dldh06",
"timestamp": "07/14/2022 14:58:49",
"content": "So that table, it has a degree of 2",
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},
{
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"author_name": "dldh06",
"timestamp": "07/14/2022 14:59:17",
"content": "So with your table, you apply this concept and when all the values are the same, that's the degree of the question",
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"id": 997215932143374500,
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"author_name": "avidrunner",
"timestamp": "07/14/2022 15:00:05",
"content": "Ahh OK",
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},
{
"id": 997216223492313100,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 15:01:15",
"content": "Maybe I can tell just based on the possible answers",
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{
"id": 997216326458278000,
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"author_name": "avidrunner",
"timestamp": "07/14/2022 15:01:39",
"content": "It’s not a negative leading coefficient otherwise y would be showing negative values",
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},
{
"id": 997216450139918300,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 15:02:09",
"content": "Wait maybe that doesn’t matter if it’s odd exponent",
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},
{
"id": 997216627017920500,
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"author_name": "avidrunner",
"timestamp": "07/14/2022 15:02:51",
"content": "But y axis appears to have line of symmetry so that tells me it’s leading with an even exponent",
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"id": 997216896422269000,
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"author_name": "avidrunner",
"timestamp": "07/14/2022 15:03:55",
"content": "It also appears to be stretched but I can’t tell if it’s stretched by a coefficient of 5 or 30",
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},
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"author_name": "avidrunner",
"timestamp": "07/14/2022 15:04:00",
"content": "So my best guess is 5 or 30",
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{
"id": 997217430000631800,
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"author_name": "avidrunner",
"timestamp": "07/14/2022 15:06:02",
"content": "Can anybody spot the answer to this or is your guess as good as mine? (5 or 30)",
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},
{
"id": 997217714605150300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 15:07:10",
"content": "That's proper process of elimination",
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},
{
"id": 997217751846371300,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 15:07:19",
"content": "Thanks 😊",
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},
{
"id": 997218067882979300,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 15:08:34",
"content": "Well I’ve managed to make it a 50/50 chance of getting it correct.",
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},
{
"id": 997218135717458000,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 15:08:50",
"content": "Better than 25% odds",
"attachments": [],
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},
{
"id": 997218696600756200,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 15:11:04",
"content": "Soo, maybe they didn’t ask this question correctly with enough information to solve it?",
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},
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"id": 997218766624669700,
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"author_name": "dldh06",
"timestamp": "07/14/2022 15:11:21",
"content": "There's enough info",
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},
{
"id": 997218811314978800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 15:11:32",
"content": "You need to do this",
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},
{
"id": 997218859369119700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/14/2022 15:11:43",
"content": "Here's a video\nhttps://www.youtube.com/watch?v=RFDLvVpAT8Q&ab_channel=mroldridge",
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},
{
"id": 997221113157394600,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 15:20:40",
"content": "Thank you",
"attachments": [],
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},
{
"id": 997221212839219500,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 15:21:04",
"content": "I see it turns into sideways Christmas tree the more you go",
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},
{
"id": 997221239535972500,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 15:21:10",
"content": "This is what I got",
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},
{
"id": 997221346213888000,
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"author_name": "avidrunner",
"timestamp": "07/14/2022 15:21:36",
"content": "",
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"timestamp": "07/14/2022 15:21:46",
"content": "Should I have also added 404 above -2 at the very top?",
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"timestamp": "07/14/2022 15:27:20",
"content": "@dldh06",
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"timestamp": "07/14/2022 15:28:01",
"content": "My answer is 11/12 for the leading coefficient, did I do that correctly?",
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"author_name": "avidrunner",
"timestamp": "07/14/2022 15:29:34",
"content": "Going back to the possible answers 5 and 30 I’m still not sure which one to go with 🤷🏻♂️",
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"id": 997223397207593100,
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"author_name": "avidrunner",
"timestamp": "07/14/2022 15:29:45",
"content": "Is the question bugged or did I mess up somewhere?",
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"timestamp": "07/14/2022 15:30:00",
"content": "You can do this",
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"timestamp": "07/14/2022 15:30:08",
"content": "OK",
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"author_name": "avidrunner",
"timestamp": "07/14/2022 15:30:13",
"content": "I tried that and got 110",
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"id": 997223559103512600,
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"author_name": "dldh06",
"timestamp": "07/14/2022 15:30:24",
"content": "And you made mistakes with signs",
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"timestamp": "07/14/2022 15:30:29",
"content": "Oh",
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"id": 997223600002171000,
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"author_name": "avidrunner",
"timestamp": "07/14/2022 15:30:33",
"content": "Lemme check again",
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"author_name": "dldh06",
"timestamp": "07/14/2022 15:30:44",
"content": "It's the value after minus the one before",
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"timestamp": "07/14/2022 15:30:50",
"content": "So 79 - 404",
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"timestamp": "07/14/2022 15:30:54",
"content": "Ohhh OK 👍",
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"author_name": "dldh06",
"timestamp": "07/14/2022 15:30:56",
"content": "Which is -325",
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"id": 997223711730061400,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 15:31:00",
"content": "So I always start from the bottom?",
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"timestamp": "07/14/2022 15:31:00",
"content": "And so on",
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"timestamp": "07/14/2022 15:34:48",
"content": "I still get to the same answer in the end",
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"content": "",
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"timestamp": "07/14/2022 15:35:25",
"content": "Oh but I go one deeper don’t I",
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"timestamp": "07/14/2022 15:35:34",
"content": "So it’s power of 6 on this",
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"timestamp": "07/14/2022 15:35:38",
"content": "I will try that",
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"author_name": "dldh06",
"timestamp": "07/14/2022 15:35:40",
"content": "No it's not",
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"author_name": "avidrunner",
"timestamp": "07/14/2022 15:35:52",
"content": "It’s not?",
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"timestamp": "07/14/2022 15:35:59",
"content": "5 - -5 = 10",
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"timestamp": "07/14/2022 15:36:03",
"content": "Not 0",
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"id": 997225022533935200,
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"author_name": "avidrunner",
"timestamp": "07/14/2022 15:36:12",
"content": "Thanks ☺️",
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},
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"id": 997225045120258000,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 15:36:18",
"content": "My bad",
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"id": 997225567885742100,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "07/14/2022 15:38:22",
"content": "Thank you 🙏",
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"timestamp": "07/14/2022 15:53:42",
"content": "@avidrunner Has your question been resolved?",
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"timestamp": "07/14/2022 15:53:47",
"content": "Channel closed",
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] |
help-9
|
e109224cde0c42618ec9796ae57aa6a1
|
197,149 |
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"id": 958798769724481500,
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"timestamp": "03/30/2022 14:44:00",
"content": "Available help channel!",
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"id": 958801227964112900,
"author_id": 762846551189618700,
"author_name": "chico02",
"timestamp": "03/30/2022 14:53:46",
"content": "if i have a i try go left on the leftmost symbol on turing machine what happens",
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"content": "Pinned a message.",
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"author_id": 933982695149670400,
"author_name": "🦖Dino🦕(🍄)",
"timestamp": "03/30/2022 14:55:51",
"content": "What?",
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"content": "@chico02 Has your question been resolved?",
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] |
help-9
|
0d313d5117984592a3baec7e5ef033f6
|
197,150 |
[
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"id": 997229697375162400,
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"author_name": "Mathematics Bot",
"timestamp": "07/14/2022 15:54:47",
"content": "Available help channel!",
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"id": 997230653768741000,
"author_id": 805217272087838700,
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"timestamp": "07/14/2022 15:58:35",
"content": "Pinned a message.",
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"id": 997231700650242200,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "07/14/2022 16:02:45",
"content": "the equivalence relation whose equivalence classes are elements of R ? Well the elements of R aren't equivalence classes here, because they're elements",
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"id": 997231737446879400,
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"content": "so what do you mean by \"this relation\"",
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"id": 997233925615255700,
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"content": "it's all the (n, n+1)",
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"content": "you just replace b by a+1",
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"timestamp": "07/14/2022 16:25:32",
"content": "@sushi Has your question been resolved?",
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"timestamp": "07/14/2022 16:47:22",
"content": "Channel closed",
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help-9
|
61c5fcb3c06a465188e220aa5479c966
|
197,151 |
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"timestamp": "07/14/2022 16:48:22",
"content": "Available help channel!",
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"id": 997243287473766400,
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"content": "Pinned a message.",
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"author_id": 652318580708212700,
"author_name": "xdarkshadowx",
"timestamp": "07/14/2022 16:49:09",
"content": "How do I find the VA for a tan function?",
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"id": 997244191581159400,
"author_id": 408715646956863500,
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"timestamp": "07/14/2022 16:52:23",
"content": "what's the vertical asymptote for tan(x)",
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"timestamp": "07/14/2022 16:52:33",
"content": "or when does it occur",
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"content": "@xdarkshadowx",
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"timestamp": "07/14/2022 16:54:04",
"content": "-pi/2,pi2",
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"id": 997244664644116600,
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"timestamp": "07/14/2022 16:54:15",
"content": "yes",
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"timestamp": "07/14/2022 16:54:25",
"content": "so when x =pi/2",
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"timestamp": "07/14/2022 16:54:34",
"content": "but in this instance its 3x",
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"timestamp": "07/14/2022 16:55:08",
"content": "so the vertical asymptote is pi/6",
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"id": 997245060800336000,
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"timestamp": "07/14/2022 16:55:50",
"content": "and the function tan(x) repeats every +-pi",
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"id": 997245170288439300,
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"timestamp": "07/14/2022 16:56:16",
"content": "but for tan3x it will repeat every +-pi/3",
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"timestamp": "07/14/2022 16:56:37",
"content": "so the answer is pi/6 +-pi/3",
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"timestamp": "07/14/2022 16:57:00",
"content": "how come?",
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"timestamp": "07/14/2022 16:58:36",
"content": "becuz lets suppose 3theta =x",
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"timestamp": "07/14/2022 16:59:22",
"content": "so then u have 3theta= pi/2 (the vertical asymptote) +-pi (how often tan function repeats)",
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"timestamp": "07/14/2022 16:59:45",
"content": "so then theta= pi/6 +-pi/3",
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"timestamp": "07/14/2022 17:00:08",
"content": "Oh ok",
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"timestamp": "07/14/2022 17:00:18",
"content": "Thx",
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"id": 997246195648954500,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 17:00:20",
"content": "np",
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"author_name": "xdarkshadowx",
"timestamp": "07/14/2022 17:00:32",
"content": "would u also be able to help with another problem",
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"author_name": "D.",
"timestamp": "07/14/2022 17:00:37",
"content": "yh sure",
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"timestamp": "07/14/2022 17:01:13",
"content": "So I get how to solve",
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"author_name": "xdarkshadowx",
"timestamp": "07/14/2022 17:01:23",
"content": "But finding the solutions gets me confused",
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"id": 997246503192105000,
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"author_name": "xdarkshadowx",
"timestamp": "07/14/2022 17:01:34",
"content": "How can I use the reference angle to find all the solutions",
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"author_id": 408715646956863500,
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"timestamp": "07/14/2022 17:02:31",
"content": "so similarily to the last question",
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"timestamp": "07/14/2022 17:02:44",
"content": "u need to know when cosine graph repeats",
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"timestamp": "07/14/2022 17:03:21",
"content": "so that u can use the solution u find from solving to find the other ones to fit the domain of the function",
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"timestamp": "07/14/2022 17:03:41",
"content": "so for this question u get cos(x)=-1/root2",
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"timestamp": "07/14/2022 17:04:01",
"content": "x=3pi/4",
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"author_name": "xdarkshadowx",
"timestamp": "07/14/2022 17:04:13",
"content": "yea",
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"id": 997247214122434600,
"author_id": 408715646956863500,
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"timestamp": "07/14/2022 17:04:23",
"content": "and since u know cos repeats every 2pi",
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"author_name": "D.",
"timestamp": "07/14/2022 17:04:35",
"content": "u would do 2pi-3pi/4",
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"timestamp": "07/14/2022 17:05:01",
"content": "and u can check that the angle give u the answer",
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"author_name": "D.",
"timestamp": "07/14/2022 17:05:11",
"content": "so your other answer is 5pi/4",
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"author_name": "xdarkshadowx",
"timestamp": "07/14/2022 17:05:35",
"content": "Oh ok so all u have to do is add 2pi to the principal solution",
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"author_id": 408715646956863500,
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"timestamp": "07/14/2022 17:05:57",
"content": "yes for when the function is cos",
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"author_id": 408715646956863500,
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"timestamp": "07/14/2022 17:06:07",
"content": "when its sin or tan its pi",
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"author_id": 652318580708212700,
"author_name": "xdarkshadowx",
"timestamp": "07/14/2022 17:06:23",
"content": "dosent sin also repeat over 2pi?",
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"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 17:06:47",
"content": "and it depends on the dodmain",
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"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 17:06:52",
"content": "yes sorry my bad",
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"author_name": "xdarkshadowx",
"timestamp": "07/14/2022 17:06:59",
"content": "Oh ok",
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"id": 997247908137140200,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 17:07:09",
"content": "the domain could be in the negative area",
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"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 17:07:18",
"content": "so then u can add or subtract 2pi",
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"author_name": "xdarkshadowx",
"timestamp": "07/14/2022 17:07:36",
"content": "Oh yea",
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"timestamp": "07/14/2022 17:07:37",
"content": "Ok",
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"author_name": "xdarkshadowx",
"timestamp": "07/14/2022 17:08:14",
"content": "and also I had trouble wit this",
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"timestamp": "07/14/2022 17:11:22",
"content": "ok so use your trig identities",
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"timestamp": "07/14/2022 17:11:35",
"content": "or u can derive it",
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"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 17:11:56",
"content": "so the basic identity u should know is sin^2+cos^2=1",
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"author_name": "D.",
"timestamp": "07/14/2022 17:12:06",
"content": "if we divide through by cos^2",
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"timestamp": "07/14/2022 17:12:17",
"content": "u get tan^2+1=sec^2",
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"id": 997249265275502600,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 17:12:32",
"content": "and for this particular question",
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"author_id": 408715646956863500,
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"timestamp": "07/14/2022 17:12:52",
"content": "u can substitute this identity in both the denominator and numerator",
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"timestamp": "07/14/2022 17:13:10",
"content": "so u have sec^2/sec^2+1",
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"timestamp": "07/14/2022 17:13:51",
"content": "now u can rewrite this as (1/cos^2)/((1/cos^2)+1)",
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"author_name": "D.",
"timestamp": "07/14/2022 17:14:38",
"content": "then u get (1/cos^2)/((1+cos^2)/cos^2)",
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"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 17:14:57",
"content": "so the answer is 1/(1+cos^2)",
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"author_name": "D.",
"timestamp": "07/14/2022 17:15:45",
"content": "@xdarkshadowx is that alright?",
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"author_name": "xdarkshadowx",
"timestamp": "07/14/2022 17:15:56",
"content": "I got confused at this part",
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"id": 997250196603928600,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 17:16:14",
"content": "what about it",
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"id": 997250238379196400,
"author_id": 652318580708212700,
"author_name": "xdarkshadowx",
"timestamp": "07/14/2022 17:16:24",
"content": "How u got it",
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"id": 997250306712809600,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 17:16:41",
"content": "so in the denominator",
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"id": 997250349092044900,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 17:16:51",
"content": "we had sec^2+1",
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"id": 997250357291913300,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 17:16:53",
"content": "yes?",
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"id": 997250414875529200,
"author_id": 652318580708212700,
"author_name": "xdarkshadowx",
"timestamp": "07/14/2022 17:17:06",
"content": "Cos u mean?",
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"id": 997250481317499000,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 17:17:22",
"content": "i mean like from the 3rd step",
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"author_name": "xdarkshadowx",
"timestamp": "07/14/2022 17:17:26",
"content": "Oh ok",
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"id": 997250500955222100,
"author_id": 652318580708212700,
"author_name": "xdarkshadowx",
"timestamp": "07/14/2022 17:17:27",
"content": "Yea",
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"id": 997250590998548600,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 17:17:48",
"content": "so we can rewrite this as 1/cos^2 + 1",
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"id": 997250653669818500,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 17:18:03",
"content": "and then use basic fraction rules",
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"id": 997250685781414000,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 17:18:11",
"content": "to combine the two",
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"id": 997250718387941400,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 17:18:19",
"content": "to get a single fraction",
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"id": 997250776609079300,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 17:18:33",
"content": "think of it as 1/cos^2 + 1/1",
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"id": 997250838944829700,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 17:18:48",
"content": "so then u want a common denominator of cos^2 on both",
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"id": 997250938991562900,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 17:19:11",
"content": "thus u get (1+cos^2)/cos^2",
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"id": 997251121624121300,
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"author_name": "xdarkshadowx",
"timestamp": "07/14/2022 17:19:55",
"content": "Ok",
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},
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"id": 997251172467478700,
"author_id": 652318580708212700,
"author_name": "xdarkshadowx",
"timestamp": "07/14/2022 17:20:07",
"content": "I get it now",
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},
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"id": 997251216880959600,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 17:20:18",
"content": "anything else?",
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"id": 997251255145607200,
"author_id": 652318580708212700,
"author_name": "xdarkshadowx",
"timestamp": "07/14/2022 17:20:27",
"content": "No that about it",
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"id": 997251286460285000,
"author_id": 652318580708212700,
"author_name": "xdarkshadowx",
"timestamp": "07/14/2022 17:20:34",
"content": "Thx so much for ur help",
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},
{
"id": 997251327002411000,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 17:20:44",
"content": "alright no problem have a nice day",
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"author_id": 652318580708212700,
"author_name": "xdarkshadowx",
"timestamp": "07/14/2022 17:20:48",
"content": "can I add u as I friend",
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"id": 997251359298551800,
"author_id": 408715646956863500,
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"timestamp": "07/14/2022 17:20:52",
"content": "yh sure",
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"id": 997251394526531600,
"author_id": 652318580708212700,
"author_name": "xdarkshadowx",
"timestamp": "07/14/2022 17:21:00",
"content": "I swear no one responds any other time lol",
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"id": 997251636265226200,
"author_id": 652318580708212700,
"author_name": "xdarkshadowx",
"timestamp": "07/14/2022 17:21:58",
"content": ".close",
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},
{
"id": 997251638093942900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/14/2022 17:21:58",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
07c95347b93d4b4c99e1c654b9a36000
|
197,152 |
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"timestamp": "07/14/2022 17:22:58",
"content": "Available help channel!",
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"id": 997252343978545300,
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"timestamp": "07/14/2022 17:24:46",
"content": "Pinned a message.",
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"content": "Channel closed",
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] |
help-9
|
4eade5460c0e42d6ad3a7921bbe93b6d
|
197,153 |
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{
"id": 997254868857262100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/14/2022 17:34:48",
"content": "Available help channel!",
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{
"id": 997258242856071300,
"author_id": 301783648133185540,
"author_name": "Riyasat",
"timestamp": "07/14/2022 17:48:13",
"content": "Was just curious to find out how they got 12^2/3 as a limit if someone can explain it to me",
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"timestamp": "07/14/2022 17:48:13",
"content": "Pinned a message.",
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{
"id": 997258792456704000,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "07/14/2022 17:50:24",
"content": "its the second point of intersection between $y=3\\sqrt x$ and $y=\\frac{x^2}{4}$",
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"id": 997258804683092000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/14/2022 17:50:27",
"content": "**Toby**",
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"author_name": "Riyasat",
"timestamp": "07/14/2022 17:50:44",
"content": "so the red line?",
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"author_name": "Toby",
"timestamp": "07/14/2022 17:50:47",
"content": "ie, equate them together and solve for x, and you will get 12^(2/3)",
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"timestamp": "07/14/2022 17:51:08",
"content": "I would assume the top right intersection",
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"timestamp": "07/14/2022 17:51:58",
"content": "so this?",
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"content": "ah",
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"timestamp": "07/14/2022 17:55:57",
"content": "so if I'm working on a different problem with different variables, all I need to do is find the point of intersection as the limit?\nfor example: 5 sqrt x",
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"timestamp": "07/14/2022 17:56:27",
"content": "depends on the question, but if it's something like \"region bounded between two curves\", then yes",
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"timestamp": "07/14/2022 17:56:50",
"content": "so I got this, just need to revert it to fraction right?",
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"content": "you should be able to get the intersection algebraically",
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"timestamp": "07/14/2022 17:58:34",
"content": "not sure how to on desmos graphing calc :catsweat:",
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"timestamp": "07/14/2022 18:00:21",
"content": "I meant algebraically with pen and paper",
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"timestamp": "07/14/2022 18:01:13",
"content": "$5\\sqrt x=\\frac{x^2}{2}\\implies \\sqrt x(5-\\frac{x^{3/2}}{2})=0$",
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"timestamp": "07/14/2022 18:01:34",
"content": "**Toby**",
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"timestamp": "07/14/2022 18:02:54",
"content": "got 0, and sqrt 100 to the power of 3",
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"timestamp": "07/14/2022 18:03:49",
"content": "the second should be ($10^{3/2}$)",
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"timestamp": "07/14/2022 18:03:51",
"content": "**Toby**",
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"timestamp": "07/14/2022 18:17:54",
"content": "@Riyasat Has your question been resolved?",
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"timestamp": "07/14/2022 18:19:04",
"content": "yeah",
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"timestamp": "07/14/2022 18:27:01",
"content": "Channel closed",
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}
] |
help-9
|
1f7d1701c4ad4ddc9d74e023bc32ab78
|
197,154 |
[
{
"id": 997268260011638800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/14/2022 18:28:01",
"content": "Available help channel!",
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"id": 997269120091422800,
"author_id": 726517028432773100,
"author_name": "topaz",
"timestamp": "07/14/2022 18:31:26",
"content": "How do I round values in scientific notation to the least number of significant figures? Specifically, I’m working with the value of 2.855806e-18.",
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"timestamp": "07/14/2022 18:31:27",
"content": "Pinned a message.",
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"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "07/14/2022 18:46:05",
"content": "In scientific notation, if you want to round to n SF, then just round to only keep the first n digits and keep it in exponential form. So here for 3 SF you'd get 2.86e-18",
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"timestamp": "07/14/2022 18:48:52",
"content": "But what does it mean when the problem says to round to the least amount of SF? Would it just be 1?",
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"timestamp": "07/14/2022 18:49:53",
"content": "Without any context, least is 1 yes. Maybe it's a physics problem and it should be found according to the precision of the values you used though ?",
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"id": 997274084943597700,
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"timestamp": "07/14/2022 18:51:10",
"content": "Here’s the description for the problem",
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"author_name": "topaz",
"timestamp": "07/14/2022 18:51:42",
"content": "Also does replying to your messages count as pinging you (against rules). If so, I’ll refrain from doing that.",
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"id": 997274490876723300,
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"author_name": "themateo713",
"timestamp": "07/14/2022 18:52:47",
"content": "Idk, but I don't really mind it. Sometimes I forget which channels I'm in. But after 2 mins it's not necessary",
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"timestamp": "07/14/2022 18:54:06",
"content": "But yes this is like physics, from looking at the examples: your precision should be the lowest precision in the you used: so in example 1 they had 2 and 3 SF so the answer has 2 SF because that's the most you can do with what you know",
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"timestamp": "07/14/2022 18:58:36",
"content": "I’m confused what you mean when you say example 1 had 2 and 3 SF",
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"id": 997276008338161700,
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"timestamp": "07/14/2022 18:58:48",
"content": "Isn’t there supposed to be a set number of SF in a value?",
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"timestamp": "07/14/2022 19:02:03",
"content": "2 in 6.5e2 and 3 in 4.31e4. because the least precise is 2 SF, it is rounded to 2 SF",
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"timestamp": "07/14/2022 19:02:45",
"content": "Where are you getting 6.5e2 and 4.31e4 from?",
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"timestamp": "07/14/2022 19:03:38",
"content": "Example 1",
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"timestamp": "07/14/2022 19:05:26",
"content": "So between the two factors in the equation, 6.5e2 has the lower amount of SF (2), so my answer needs to be rounded to 2 SF?",
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"id": 997277895896600600,
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"author_name": "themateo713",
"timestamp": "07/14/2022 19:06:18",
"content": "Because you can afford to be that precise but you can't afford more precision than that",
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"id": 997278007611895800,
"author_id": 726517028432773100,
"author_name": "topaz",
"timestamp": "07/14/2022 19:06:45",
"content": "I don’t quite understand that part of it",
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"id": 997278055099797600,
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"author_name": "topaz",
"timestamp": "07/14/2022 19:06:56",
"content": "But this is how it’s solved right?",
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"id": 997278322738339800,
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"timestamp": "07/14/2022 19:08:00",
"content": "SF(answer) = min(SF(data)) yes",
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"author_name": "topaz",
"timestamp": "07/14/2022 19:09:11",
"content": "Ok thank you",
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"id": 997279792334372900,
"author_id": 726517028432773100,
"author_name": "topaz",
"timestamp": "07/14/2022 19:13:51",
"content": "So this is how I’d simplify it in this particular problem?",
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"timestamp": "07/14/2022 19:14:56",
"content": "Yes",
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"id": 997280877014954100,
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"author_name": "topaz",
"timestamp": "07/14/2022 19:18:09",
"content": "Alright thanks",
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"id": 997281105457721300,
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"timestamp": "07/14/2022 19:19:04",
"content": ".close",
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"timestamp": "07/14/2022 19:19:04",
"content": "Channel closed",
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] |
help-9
|
5ba1c8f2e8d34365b1232622e0f2aa43
|
197,155 |
[
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"timestamp": "07/14/2022 19:20:05",
"content": "Available help channel!",
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"id": 997284026920468600,
"author_id": 458415623756709900,
"author_name": "Ivy",
"timestamp": "07/14/2022 19:30:40",
"content": "Can anyone explain Poisson distribution for a management course please?",
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"timestamp": "07/14/2022 19:30:41",
"content": "Pinned a message.",
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{
"id": 997284757052342400,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 19:33:34",
"content": "Poisson distribution",
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},
{
"id": 997284817529999400,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 19:33:49",
"content": "Is dependent on the rate",
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},
{
"id": 997285019582214300,
"author_id": 458415623756709900,
"author_name": "Ivy",
"timestamp": "07/14/2022 19:34:37",
"content": "What does that mean?",
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"id": 997285089241219100,
"author_id": 458415623756709900,
"author_name": "Ivy",
"timestamp": "07/14/2022 19:34:53",
"content": "I think I need to find the complementary event",
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},
{
"id": 997285146355052500,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 19:35:07",
"content": "So lamda",
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},
{
"id": 997285309119221800,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 19:35:46",
"content": "X~Po(6)",
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},
{
"id": 997285394901119100,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 19:36:06",
"content": "The 6 is the rate of the event occurring",
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},
{
"id": 997285448189751300,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 19:36:19",
"content": "The trial has to independent",
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},
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"id": 997285526790996000,
"author_id": 458415623756709900,
"author_name": "Ivy",
"timestamp": "07/14/2022 19:36:38",
"content": "Where does 6 come from?",
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"id": 997285579932844200,
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"author_name": "D.",
"timestamp": "07/14/2022 19:36:50",
"content": "Its just an example",
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"id": 997285623557804200,
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"author_name": "Ivy",
"timestamp": "07/14/2022 19:37:01",
"content": "Ohhh, okay",
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},
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"id": 997285679560130600,
"author_id": 458415623756709900,
"author_name": "Ivy",
"timestamp": "07/14/2022 19:37:14",
"content": "So lambda is the rate of event occuring?",
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"id": 997285704340082700,
"author_id": 408715646956863500,
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"timestamp": "07/14/2022 19:37:20",
"content": "Yes",
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"author_name": "Ivy",
"timestamp": "07/14/2022 19:37:31",
"content": "So for number 1 the answer is 3",
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"id": 997285792395305000,
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"author_name": "Ivy",
"timestamp": "07/14/2022 19:37:41",
"content": "Because it's asking about the probability",
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"id": 997285859005038600,
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"timestamp": "07/14/2022 19:37:57",
"content": "No",
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"id": 997285942073229300,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 19:38:17",
"content": "Theres a formula for working out probabilities",
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},
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"id": 997286008972378200,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 19:38:33",
"content": "Or u could use the casio class wiz calculator",
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"id": 997286123376214100,
"author_id": 458415623756709900,
"author_name": "Ivy",
"timestamp": "07/14/2022 19:39:00",
"content": "What is the formula? I only know the formula to calculate the Poisson distribution",
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"content": "Ohhh, I thought tjis was to find the Poisson distribution (which is already given, I think?)",
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"content": "Is x = 10?",
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"timestamp": "07/14/2022 19:41:19",
"content": "X=4",
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"timestamp": "07/14/2022 19:41:22",
"content": "Not 10",
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"author_name": "D.",
"timestamp": "07/14/2022 19:41:32",
"content": "10 is the time interval",
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"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 19:42:03",
"content": "And in the question it says lamda=3 in a 10 minute interval",
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"timestamp": "07/14/2022 19:42:31",
"content": "So like the rate would be 6 if the question said 20 minute interval",
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"timestamp": "07/14/2022 19:44:01",
"content": "Ok wait",
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"timestamp": "07/14/2022 19:44:16",
"content": "1st question on the slide",
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"content": "The answer is 3",
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"timestamp": "07/14/2022 19:44:33",
"content": "Cuz its asking for lamda",
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"timestamp": "07/14/2022 19:45:05",
"content": "2nd question u have to find P(X>4)",
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"timestamp": "07/14/2022 19:45:52",
"content": "Which is 1 - P(X<4)",
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"timestamp": "07/14/2022 19:46:14",
"content": "3rd question",
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"timestamp": "07/14/2022 19:46:32",
"content": "P(X=0)",
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"timestamp": "07/14/2022 19:46:56",
"content": "How would I go about finding this?",
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"timestamp": "07/14/2022 19:47:09",
"content": "1 - [ (P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4)) ]",
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"author_name": "Ivy",
"timestamp": "07/14/2022 19:47:14",
"content": "Something like that?",
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"id": 997288206364057600,
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"author_name": "D.",
"timestamp": "07/14/2022 19:47:17",
"content": "Yes",
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"id": 997288247078162400,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 19:47:26",
"content": "Or do u have a calculator",
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"timestamp": "07/14/2022 19:47:38",
"content": "That can do CD",
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"author_name": "Ivy",
"timestamp": "07/14/2022 19:47:48",
"content": "I have my phone XD",
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"id": 997288384248676500,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 19:47:59",
"content": "Oof",
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"id": 997288400354807800,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 19:48:03",
"content": "Gl",
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"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 19:48:14",
"content": "But you get the concept yes?",
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"author_name": "Ivy",
"timestamp": "07/14/2022 19:48:47",
"content": "I'm still a bit lost how you go from P(x>4) to 1 - P(x<4)",
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"timestamp": "07/14/2022 19:48:57",
"content": "Becuz think about",
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"timestamp": "07/14/2022 19:49:10",
"content": "Its asking for the probability of x being greater than 4",
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"timestamp": "07/14/2022 19:49:26",
"content": "Therefore count 4,3,2,1",
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"timestamp": "07/14/2022 19:50:23",
"content": "If it was P(X>=4) then it would be 1-P(X<=3)",
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"timestamp": "07/14/2022 19:51:12",
"content": "Btw its suppose to be 1-P(X<=4)",
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"timestamp": "07/14/2022 19:52:18",
"content": "And like the main thing to remember is that you use poisson when it says in the question the rate of something",
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"timestamp": "07/14/2022 19:52:42",
"content": "Or sometimes it can ask you to approximate a binomial using poisson",
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"timestamp": "07/14/2022 19:52:56",
"content": "In which case np<=10",
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"author_name": "D.",
"timestamp": "07/14/2022 19:53:13",
"content": "But i think your teacher hasn’t got that far",
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"author_name": "Ivy",
"timestamp": "07/14/2022 19:54:29",
"content": "Thank youuuuuuuuuu",
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"timestamp": "07/14/2022 19:54:36",
"content": "@Ivy was i like unclear cuz i feel like in my head it made sense",
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"timestamp": "07/14/2022 19:54:59",
"content": "A bit, yeah, but the general concept is more clear now",
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"timestamp": "07/14/2022 19:55:00",
"content": "I think",
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"author_name": "D.",
"timestamp": "07/14/2022 19:55:27",
"content": "Its harder to explain statistics for me",
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"timestamp": "07/14/2022 19:55:34",
"content": "https://media.discordapp.net/attachments/844462547377061919/997288908540887050/unknown.png",
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"timestamp": "07/14/2022 19:55:38",
"content": "Its something you read and understand",
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"author_id": 458415623756709900,
"author_name": "Ivy",
"timestamp": "07/14/2022 19:55:43",
"content": "I tried to follow along",
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"id": 997290421787046000,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 19:56:05",
"content": "Yh i think that right",
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"id": 997290489919312000,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/14/2022 19:56:21",
"content": "Would be nice to do it in 2 buttons on a calculator",
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"id": 997290644882075800,
"author_id": 458415623756709900,
"author_name": "Ivy",
"timestamp": "07/14/2022 19:56:58",
"content": "Thanks!!",
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"id": 997290658593247400,
"author_id": 458415623756709900,
"author_name": "Ivy",
"timestamp": "07/14/2022 19:57:01",
"content": "I will review now",
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"id": 997290695092076500,
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"timestamp": "07/14/2022 19:57:10",
"content": "Np",
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"timestamp": "07/14/2022 20:12:02",
"content": "@Ivy Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
c986d26a313a4f719efeebc5e4e6779f
|
197,156 |
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"timestamp": "07/14/2022 20:13:07",
"content": "Available help channel!",
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"id": 997297236457312300,
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"timestamp": "07/14/2022 20:23:10",
"content": "16x^2 + 4y^2 + 96x - 8y + 84 = 0 Complete the square to determine if the equation is a circle, quadratic (parabola) or other. Show all\nwork and graph the circles and quadratics on a grid.",
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"content": "thats what i meant to send",
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"timestamp": "07/14/2022 20:28:01",
"content": "Do you know how to complete the square?",
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"id": 997298480122966000,
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"timestamp": "07/14/2022 20:28:06",
"content": "no",
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"content": "Then that's the first place you should start",
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"timestamp": "07/14/2022 20:28:30",
"content": "I suggest looking up videos on that",
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"timestamp": "07/14/2022 20:29:09",
"content": "ok",
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"id": 997299723058819100,
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"author_name": "soren",
"timestamp": "07/14/2022 20:33:02",
"content": "is eclipse the right thing",
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"content": "ellipse*",
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"timestamp": "07/14/2022 20:36:43",
"content": "what equation did you get after you completed the square",
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"content": "i got this",
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"content": ",rotate",
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"author_name": "TeXit",
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"timestamp": "07/14/2022 20:38:45",
"content": "does it look correct",
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"content": "@soren Has your question been resolved?",
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"content": "no but ill just close it ig",
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help-9
|
132c81753dec4994a5a60f823000057e
|
197,157 |
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help-9
|
1b8bfd6db9f8459abba2893b12e1f275
|
197,158 |
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help-9
|
3546a6264442402db17f45d301b5cd1d
|
197,159 |
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help-9
|
6222ed9c309541eda051030538a1c9c9
|
197,160 |
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{
"id": 958815210641166300,
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"id": 958817119141769200,
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"author_name": "darius",
"timestamp": "03/30/2022 15:56:55",
"content": "I'm doing past papers and there's a question I don't really understand and I want to know if it's a topic I've done or not",
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"content": "I haven't done trig identities , if this is what that is; in the mark scheme the formula half ab sin 0 is used",
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"content": "@Helpers",
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"content": "@darius Has your question been resolved?",
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"author_name": "Umbraleviathan",
"timestamp": "03/30/2022 17:15:31",
"content": "First, draw the triangle out",
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"timestamp": "03/30/2022 17:15:39",
"content": "And show me your diagram @darius",
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"timestamp": "03/30/2022 17:16:48",
"content": "Well hopefully the tour bus I go on has wifi",
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"id": 958837454134214700,
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"timestamp": "03/30/2022 17:17:43",
"content": "Hi again, well I haven't ever looked at any formulae like 1/2absin0",
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"timestamp": "03/30/2022 18:17:43",
"content": "@darius Has your question been resolved?",
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"author_name": "tatpoj",
"timestamp": "03/30/2022 18:20:15",
"content": "I don't really see any other way to go about this problem",
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"author_name": "darius",
"timestamp": "03/30/2022 18:23:27",
"content": "oh yeah, but my question was \"what topic is this\"",
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"id": 958854021077155800,
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"author_name": "darius",
"timestamp": "03/30/2022 18:23:33",
"content": "because i don't know if I should know this or not",
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"author_name": "tatpoj",
"timestamp": "03/30/2022 18:25:20",
"content": "The topic basically *is* A=(1/2)ab sin(C)",
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"timestamp": "03/30/2022 18:25:47",
"content": "It would typically be taught in a geometry class when you learn about trig functions, law of sines, law of cosines, etc.",
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"timestamp": "03/30/2022 18:26:07",
"content": "If you haven't been exposed to that equation, you wouldn't be expected to be able to answer this question",
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"id": 958856253789077500,
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"timestamp": "03/30/2022 18:32:25",
"content": "Okay, thank you that was it haha, we skipped trig functions",
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"timestamp": "03/30/2022 19:17:43",
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help-9
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ced7e6c56fb64d61a4cbf04d34dac678
|
197,161 |
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"timestamp": "07/15/2022 02:56:05",
"content": "How do I solve this without a calculator?",
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"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "07/15/2022 02:57:17",
"content": "pi/6 and pi/3 are special angles, the sine of pi/6 in particular should be familiar",
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"author_name": "Bungo",
"timestamp": "07/15/2022 02:57:41",
"content": "(you know it's gonna be either sqrt(3)/2, sqrt(2)/2, or 1/2, which one is it?)",
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"timestamp": "07/15/2022 03:04:20",
"content": "I believe that pi/6 = 30 deg and pi/3 = 60 deg",
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"timestamp": "07/15/2022 03:04:52",
"content": "and sin(30) = 1/2",
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"timestamp": "07/15/2022 03:05:01",
"content": "But I do not understand how to approach the tan^2",
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"author_name": "kelvinchan9786",
"timestamp": "07/15/2022 03:06:11",
"content": "Just evaluate tan(pi/3), then square it.",
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"timestamp": "07/15/2022 03:06:36",
"content": "But I have to solve it without a calculator",
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"timestamp": "07/15/2022 03:06:54",
"content": "I just want to know how I could approach this if I did not have a calc",
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"timestamp": "07/15/2022 03:07:42",
"content": "Going off of pi/3 = 60, tan(60) = 1.732",
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"timestamp": "07/15/2022 03:07:53",
"content": "I would have no way of knowing this without a calculator",
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"timestamp": "07/15/2022 03:08:13",
"content": "$\\tan 60^{\\circ} = \\sqrt{3}$",
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"timestamp": "07/15/2022 03:08:16",
"content": "**kelvinchan9786**",
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"timestamp": "07/15/2022 03:08:23",
"content": "Ohhh",
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"timestamp": "07/15/2022 03:08:30",
"content": "Thank you I never knew that",
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"timestamp": "07/15/2022 03:08:55",
"content": "recall that tan = sin/cos",
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"timestamp": "07/15/2022 03:09:21",
"content": "I am just beginning to learn trig functions, so I did not know this either",
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"timestamp": "07/15/2022 03:09:28",
"content": "I thought tan = opp/adj",
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"timestamp": "07/15/2022 03:09:37",
"content": "so $\\tan(60) = \\frac{\\sin(60)}{\\cos(60)} = \\frac{\\sqrt{3}/2}{1/2} = \\sqrt{3}$",
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"timestamp": "07/15/2022 03:09:40",
"content": "**OurBelovedBungo**",
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"timestamp": "07/15/2022 03:09:43",
"content": "You can verify it by using equilateral triangle also.",
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"timestamp": "07/15/2022 03:11:54",
"content": "that is also true. for points (x,y) in the first quadrant of the unit circle, when you draw the triangle with vertices (x,y), (x,0), and (0,0), the sine is the opposite side and the cosine is the adjacent side",
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"timestamp": "07/15/2022 03:13:38",
"content": "Understood!",
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"timestamp": "07/15/2022 03:14:04",
"content": "One more question",
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"timestamp": "07/15/2022 03:14:29",
"content": "For number 36 how exactly do I approach this?",
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"timestamp": "07/15/2022 03:15:08",
"content": "Do I find the radius which is sqrt(26)",
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"timestamp": "07/15/2022 03:15:18",
"content": "And then apply trig identities?",
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"timestamp": "07/15/2022 03:17:54",
"content": "yes, note that (-1,5) = sqrt(26) (cos theta, sin theta)",
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"timestamp": "07/15/2022 03:18:31",
"content": "or putting it another way, the x coordinate is r*cos(theta) where r is the radius",
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"timestamp": "07/15/2022 03:18:33",
"content": "So cos theta is x on a graph and sin theta is y on a graph?",
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"timestamp": "07/15/2022 03:18:38",
"content": "and the y coordinate is r*sin(theta)",
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"timestamp": "07/15/2022 03:18:44",
"content": "yep",
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"timestamp": "07/15/2022 03:18:51",
"content": "well after multiplying by the radius",
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"timestamp": "07/15/2022 03:19:03",
"content": "(if the radius is 1 then what you said is exactly correct)",
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"timestamp": "07/15/2022 03:20:11",
"content": "so that gives you enough info to find cos(theta) and sin(theta), then the other four you can compute from those two",
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"timestamp": "07/15/2022 03:23:17",
"content": "My bad",
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"timestamp": "07/15/2022 03:23:32",
"content": "I just applied trig identities and you are correct!",
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"timestamp": "07/15/2022 03:23:37",
"content": "Thank you for your help",
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"timestamp": "07/15/2022 03:25:06",
"content": "How would you approach 38?",
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"id": 997403500088668200,
"author_id": 721266519064969200,
"author_name": "VIC",
"timestamp": "07/15/2022 03:25:25",
"content": "(I apologize for constantly asking you, my teacher literally went over 0 of this information)",
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"id": 997407275968905200,
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"timestamp": "07/15/2022 03:40:25",
"content": "@VIC Has your question been resolved?",
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"timestamp": "07/15/2022 03:41:42",
"content": "Channel closed",
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}
] |
help-9
|
81ca4618554945f6adb502af2cc5359f
|
197,162 |
[
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"id": 997407851758751700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 03:42:42",
"content": "Available help channel!",
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"reference": null
},
{
"id": 997409535314628600,
"author_id": 756698895425208300,
"author_name": "DharMannVEVO",
"timestamp": "07/15/2022 03:49:24",
"content": "It's about the rules of logarithms",
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"id": 997409537344671700,
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"timestamp": "07/15/2022 03:49:24",
"content": "Pinned a message.",
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"author_name": "DharMannVEVO",
"timestamp": "07/15/2022 03:49:53",
"content": "My answer is\n2 log x + 1/2 log y - 4/3 log z",
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"author_name": "DharMannVEVO",
"timestamp": "07/15/2022 03:49:55",
"content": "Is that correct?",
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},
{
"id": 997409735806562400,
"author_id": 852256521986768900,
"author_name": ".,..",
"timestamp": "07/15/2022 03:50:11",
"content": "No clue",
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},
{
"id": 997409774616457200,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "07/15/2022 03:50:21",
"content": "Yes thats right",
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},
{
"id": 997409793079775200,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/15/2022 03:50:25",
"content": "correct",
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},
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"timestamp": "07/15/2022 04:04:56",
"content": "@DharMannVEVO Has your question been resolved?",
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"timestamp": "07/15/2022 04:06:10",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
c2f7c52254cf4555bc026c18c43d28e1
|
197,163 |
[
{
"id": 997413792831000600,
"author_id": 756698895425208300,
"author_name": "DharMannVEVO",
"timestamp": "07/15/2022 04:06:19",
"content": "https://tenor.com/view/nae-nae-anime-anime-meme-anime-dance-gif-anime-dance-gif-25435265",
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"id": 997413801173459100,
"author_id": 756698895425208300,
"author_name": "DharMannVEVO",
"timestamp": "07/15/2022 04:06:21",
"content": "Thanks",
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},
{
"id": 997413848925622300,
"author_id": 756698895425208300,
"author_name": "DharMannVEVO",
"timestamp": "07/15/2022 04:06:32",
"content": ".close",
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},
{
"id": 997413884862402600,
"author_id": 756698895425208300,
"author_name": "DharMannVEVO",
"timestamp": "07/15/2022 04:06:41",
"content": ".close",
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"reference": null
},
{
"id": 997413905745854500,
"author_id": 756698895425208300,
"author_name": "DharMannVEVO",
"timestamp": "07/15/2022 04:06:46",
"content": ".reopem",
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},
{
"id": 997413918790139900,
"author_id": 756698895425208300,
"author_name": "DharMannVEVO",
"timestamp": "07/15/2022 04:06:49",
"content": ".reopen",
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},
{
"id": 997413922992836700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 04:06:50",
"content": "✅",
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{
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"author_id": 756698895425208300,
"author_name": "DharMannVEVO",
"timestamp": "07/15/2022 04:06:57",
"content": ".close",
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},
{
"id": 997413954961801300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 04:06:57",
"content": "Channel closed",
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}
] |
help-9
|
7c932a0334974f098d2fbf676b7e5470
|
197,164 |
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"author_id": 756698895425208300,
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"timestamp": "07/15/2022 04:13:20",
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"id": 997415600987062300,
"author_id": 756698895425208300,
"author_name": "DharMannVEVO",
"timestamp": "07/15/2022 04:13:30",
"content": "What's going on",
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"timestamp": "07/15/2022 04:13:48",
"content": "Lol rip",
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"timestamp": "07/15/2022 04:14:01",
"content": "Wait also",
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"timestamp": "07/15/2022 04:14:05",
"content": "I got another question",
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"id": 997415786622754800,
"author_id": 756698895425208300,
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"timestamp": "07/15/2022 04:14:14",
"content": "2 log x - 2 log y",
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"timestamp": "07/15/2022 04:14:18",
"content": "Is that correct?",
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"id": 997415916918812700,
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"author_name": "Tarek Ahmed",
"timestamp": "07/15/2022 04:14:45",
"content": "yes",
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"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 06:37:33",
"content": "Available help channel!",
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},
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"id": 997459083944788000,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:06:17",
"content": "help",
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"id": 997459086406848500,
"author_id": 805217272087838700,
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"timestamp": "07/15/2022 07:06:18",
"content": "Pinned a message.",
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"author_name": "Atomic",
"timestamp": "07/15/2022 07:06:28",
"content": "idk what AND: (x,y) is",
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"id": 997459340673962000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/15/2022 07:07:18",
"content": "there may be more than one point at which the gradient is zero",
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"id": 997459406751023100,
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"author_name": "Ann",
"timestamp": "07/15/2022 07:07:34",
"content": "the boxes you circled are for the second point if such a point exists",
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"id": 997459451906887800,
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"timestamp": "07/15/2022 07:07:45",
"content": "ow",
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"id": 997459479840964600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/15/2022 07:07:51",
"content": "you have messed up your calculations however",
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"id": 997459496790134800,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:07:55",
"content": "how?",
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"id": 997459530667532400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/15/2022 07:08:04",
"content": "1/16 = x^2 does not lead to 0.0625 = x",
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"id": 997459575022305300,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:08:14",
"content": "hmm why?",
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"id": 997459615392469000,
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"author_name": "Ann",
"timestamp": "07/15/2022 07:08:24",
"content": "well 0.0625 **is** 1/16",
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"id": 997459636607267000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/15/2022 07:08:29",
"content": "but x^2 is not the same thing as x",
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"id": 997459697827319900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/15/2022 07:08:43",
"content": "also x^2=1/16 has **two** solutions",
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"id": 997459712977141800,
"author_id": 183668144404037630,
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"timestamp": "07/15/2022 07:08:47",
"content": "x = ±1/4",
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"author_name": "Atomic",
"timestamp": "07/15/2022 07:09:03",
"content": "oo how did u get that",
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"id": 997459798117326800,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:09:07",
"content": "quadratic formula?",
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"id": 997459895228039300,
"author_id": 909734400990785500,
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"timestamp": "07/15/2022 07:09:30",
"content": "u are missing a +-",
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"id": 997459963507118100,
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"timestamp": "07/15/2022 07:09:47",
"content": "basically",
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"timestamp": "07/15/2022 07:09:57",
"content": "x^2=c doesn't always mean x=sqrt(c)",
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"id": 997460048550842400,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:10:07",
"content": "strange",
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"id": 997460083149639800,
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"timestamp": "07/15/2022 07:10:15",
"content": "not strange at all",
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"timestamp": "07/15/2022 07:10:17",
"content": "how can i tell if it doesnt mean that",
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"timestamp": "07/15/2022 07:11:06",
"content": "for starters",
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"id": 997460318932439000,
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"timestamp": "07/15/2022 07:11:11",
"content": "before u ask that",
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"author_id": 909734400990785500,
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"timestamp": "07/15/2022 07:11:17",
"content": "do u understand why I said that",
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"id": 997460388276875300,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:11:28",
"content": "no",
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"id": 997460459185778700,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "07/15/2022 07:11:45",
"content": "do you know that f(x)=x^2 is an even function?",
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"id": 997460535975092200,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:12:03",
"content": "parabola?",
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"id": 997460550030209000,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "07/15/2022 07:12:07",
"content": "or f(-x)=f(x)",
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"id": 997460552018317300,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:12:07",
"content": "um yes always",
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"id": 997460824354476200,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:13:12",
"content": "what about that function?",
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"id": 997460849037951000,
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"author_name": "",
"timestamp": "07/15/2022 07:13:18",
"content": "so let's say u have the equation \n\n\n\n$x^2=C$ \n U are saying \n\n$\\implies x=\\sqrt{C}$ [only solution] \n\n\nbut $(-x)^2=(x)^2$",
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"id": 997460948564574200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/15/2022 07:13:42",
"content": "**∆y/∆x=x^y**",
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"id": 997461044068884500,
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"timestamp": "07/15/2022 07:14:04",
"content": "so u also have $-\\sqrt{C}$ as another solution",
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"id": 997461044656078800,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:14:04",
"content": "so its +- sqrt of C?",
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"id": 997461053589954600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/15/2022 07:14:07",
"content": "**∆y/∆x=x^y**",
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"id": 997461068186132600,
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"timestamp": "07/15/2022 07:14:10",
"content": "yes",
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"id": 997461095738519600,
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"timestamp": "07/15/2022 07:14:17",
"content": "$\\pm \\sqrt{C}$",
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"timestamp": "07/15/2022 07:14:19",
"content": "**∆y/∆x=x^y**",
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"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:14:39",
"content": "well what if the x is cubed",
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"id": 997461208280080400,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:14:43",
"content": "there wouldnt be +- right?",
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"id": 997461275636408300,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "07/15/2022 07:15:00",
"content": "if x is cubed it would have 1 **real solution** if C is real no",
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"id": 997461425108815900,
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"author_name": "Atomic",
"timestamp": "07/15/2022 07:15:35",
"content": "so this +- only applies to square, power of 4...",
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"id": 997461466506596400,
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"timestamp": "07/15/2022 07:15:45",
"content": "all even powers u can say",
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"timestamp": "07/15/2022 07:15:49",
"content": "ye",
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"id": 997461557426540500,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:16:07",
"content": "i cant think of anything else that can give u two solutions",
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"id": 997461604075581600,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:16:18",
"content": "hmm so only squared numbers?",
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"id": 997461723139276900,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "07/15/2022 07:16:46",
"content": "nah it's true for any quadratic with non zero determinant",
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"id": 997461894707290100,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:17:27",
"content": "ok",
"attachments": [],
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"id": 997461921466957800,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:17:34",
"content": "so like this?",
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"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:17:36",
"content": "",
"attachments": [
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"fileName": "unknown.png",
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"id": 997461946892812300,
"author_id": 909734400990785500,
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"timestamp": "07/15/2022 07:17:40",
"content": "yes",
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"id": 997461979411251200,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "07/15/2022 07:17:47",
"content": "wait",
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"id": 997461982728958000,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "07/15/2022 07:17:48",
"content": "no",
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"id": 997461994477191200,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:17:51",
"content": "?",
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"id": 997462020679020500,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "07/15/2022 07:17:57",
"content": "lemme check just a sec",
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"id": 997462036214718600,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:18:01",
"content": "oh wait",
"attachments": [],
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{
"id": 997462062714343400,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "07/15/2022 07:18:07",
"content": ",w 1/16 as decimal",
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"id": 997462070486376400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/15/2022 07:18:09",
"content": "Results provided by WolframAlpha",
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"id": 997462116657279100,
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"timestamp": "07/15/2022 07:18:20",
"content": "ye it's correct",
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"id": 997462182939856900,
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"timestamp": "07/15/2022 07:18:36",
"content": "tho it's possibly better if u keep it as a fraction [easier calculation]",
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"id": 997462302641115100,
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"author_name": "Atomic",
"timestamp": "07/15/2022 07:19:04",
"content": "hmm but the coordinates cant be written in fraction right?",
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"timestamp": "07/15/2022 07:19:35",
"content": "sqrt(1/16)=1/sqrt(16)=1/4=0.25",
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"id": 997462463043866600,
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"timestamp": "07/15/2022 07:19:43",
"content": "like this",
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"id": 997462518647763000,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:19:56",
"content": "how about this",
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"author_name": "Atomic",
"timestamp": "07/15/2022 07:19:56",
"content": "",
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"id": 997462631264817300,
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"timestamp": "07/15/2022 07:20:23",
"content": "missing the +- and that's wrong",
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"id": 997462712378458100,
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"timestamp": "07/15/2022 07:20:42",
"content": "$\\sqrt{x^2}=x$ is not always true",
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"id": 997462721727578100,
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"author_name": "TeXit",
"timestamp": "07/15/2022 07:20:44",
"content": "**∆y/∆x=x^y**",
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"timestamp": "07/15/2022 07:20:57",
"content": "",
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"id": 997462796272939000,
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"author_name": "Atomic",
"timestamp": "07/15/2022 07:21:02",
"content": "how about this",
"attachments": [],
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"id": 997462812282593300,
"author_id": 909734400990785500,
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"timestamp": "07/15/2022 07:21:06",
"content": "still wrong",
"attachments": [],
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"id": 997462925528797200,
"author_id": 909734400990785500,
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"timestamp": "07/15/2022 07:21:33",
"content": "$\\sqrt{x^2}=|x|$",
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"author_name": "TeXit",
"timestamp": "07/15/2022 07:21:35",
"content": "**∆y/∆x=x^y**",
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"timestamp": "07/15/2022 07:22:17",
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"id": 997463256346132500,
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"author_name": "Atomic",
"timestamp": "07/15/2022 07:22:52",
"content": "wait",
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"id": 997463263052836900,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:22:53",
"content": "this seems wrong",
"attachments": [],
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"id": 997463288306733200,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "07/15/2022 07:22:59",
"content": "it is",
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"id": 997463323324989400,
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"timestamp": "07/15/2022 07:23:08",
"content": "u brought the +- out of nowhere",
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"id": 997463375028179100,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:23:20",
"content": "do i even need the absolute value notation if its +-",
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"id": 997463399652921500,
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"timestamp": "07/15/2022 07:23:26",
"content": "and |x| can't be negative",
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"id": 997463433123475500,
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"author_name": "Atomic",
"timestamp": "07/15/2022 07:23:34",
"content": "then i dont need that notation",
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"id": 997463543437873300,
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"timestamp": "07/15/2022 07:24:00",
"content": "wait lemme show the proper way of showing this",
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"id": 997463670395256800,
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"timestamp": "07/15/2022 07:24:31",
"content": "$x^2=\\frac{1}{16}$ \n\n\n$\\implies x=\\pm \\sqrt{\\frac{1}{16}}= \\pm \\frac{1}{4}$",
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"timestamp": "07/15/2022 07:24:33",
"content": "**∆y/∆x=x^y**",
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"timestamp": "07/15/2022 07:25:50",
"content": "no need for absolute value of x here i see",
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"timestamp": "07/15/2022 07:26:02",
"content": "what u did can be written as \n\n\n$1=16x^2$ \n\n\n\n$\\implies \\sqrt{1}=\\sqrt{16x^2}=4|x|$ \n\n\n$\\implies |x|=\\frac{1}{4}$ \n\n$\\implies x = \\pm \\frac{1}{4}$",
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"id": 997464064529801200,
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"author_name": "TeXit",
"timestamp": "07/15/2022 07:26:04",
"content": "**∆y/∆x=x^y**",
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"timestamp": "07/15/2022 07:26:21",
"content": "yes needed u are doing like this",
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"timestamp": "07/15/2022 07:26:26",
"content": ".",
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"timestamp": "07/15/2022 07:26:32",
"content": "is this correct way of writing with absolute notation?",
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"author_name": "Atomic",
"timestamp": "07/15/2022 07:26:51",
"content": "absolute value = one solution",
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"id": 997464266321973400,
"author_id": 909734400990785500,
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"timestamp": "07/15/2022 07:26:53",
"content": "if u want absolute notation [which I think is not convenient here]",
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"id": 997464288501452800,
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"timestamp": "07/15/2022 07:26:58",
"content": "ok",
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"author_name": "Atomic",
"timestamp": "07/15/2022 07:27:37",
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"id": 997464589216260100,
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"author_name": "Atomic",
"timestamp": "07/15/2022 07:28:10",
"content": "thanks alot",
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"author_name": "Atomic",
"timestamp": "07/15/2022 07:28:16",
"content": "i appreciate your help",
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{
"id": 997464637794697200,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:28:21",
"content": "have a nice day",
"attachments": [],
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},
{
"id": 997464643356344300,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/15/2022 07:28:22",
"content": ".close",
"attachments": [],
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},
{
"id": 997464645038260200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/15/2022 07:28:23",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
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7d59bfe1023549829701d191fae3ebb4
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