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197,465 |
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{
"id": 1001865478035230800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 10:55:43",
"content": "Available help channel!",
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},
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"id": 1001867326448209900,
"author_id": 424934449734615100,
"author_name": "Aayush12",
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"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 11:03:05",
"content": "Pinned a message.",
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"id": 1001867652857340000,
"author_id": 424934449734615100,
"author_name": "Aayush12",
"timestamp": "07/27/2022 11:04:22",
"content": "Not understanding how to progress",
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},
{
"id": 1001868210947240100,
"author_id": 216912122083409920,
"author_name": "Learath2",
"timestamp": "07/27/2022 11:06:35",
"content": "Did you try anything or don’t you know where to start?",
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"id": 1001868584361918500,
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"id": 1001869005478428800,
"author_id": 424934449734615100,
"author_name": "Aayush12",
"timestamp": "07/27/2022 11:09:44",
"content": "After this",
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},
{
"id": 1001870570146779300,
"author_id": 424934449734615100,
"author_name": "Aayush12",
"timestamp": "07/27/2022 11:15:57",
"content": "Pls",
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},
{
"id": 1001871452808691800,
"author_id": 424934449734615100,
"author_name": "Aayush12",
"timestamp": "07/27/2022 11:19:28",
"content": "@Helpers",
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},
{
"id": 1001871646547787800,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "07/27/2022 11:20:14",
"content": "You could factor out sin",
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{
"id": 1001871691628155000,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "07/27/2022 11:20:25",
"content": "And notice 1/cos is sec",
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{
"id": 1001871970805235700,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "07/27/2022 11:21:31",
"content": "Then ||square both sides, the motivation for this being a lot of trig identities involve squares and we wouldn't need to deal with plus/minus cases separately with square roots||",
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{
"id": 1001872650320224300,
"author_id": 424934449734615100,
"author_name": "Aayush12",
"timestamp": "07/27/2022 11:24:13",
"content": "I am extremely sorry but i am not able to understand. Apologies",
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},
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"id": 1001873138663047200,
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"author_name": "Aayush12",
"timestamp": "07/27/2022 11:26:10",
"content": "",
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"id": 1001873296578588700,
"author_id": 424934449734615100,
"author_name": "Aayush12",
"timestamp": "07/27/2022 11:26:47",
"content": "Made it to this step",
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},
{
"id": 1001873974021587000,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "07/27/2022 11:29:29",
"content": "$x^2 = \\sin^2 \\theta(1 + 2\\sec \\theta) + \\tan^2 \\theta$",
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},
{
"id": 1001873984062771200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/27/2022 11:29:31",
"content": "**Arya**",
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"id": 1001874186265952400,
"author_id": 706934233012371600,
"author_name": "Ansh_",
"timestamp": "07/27/2022 11:30:19",
"content": "note the relation between tan² and sec²; also, sin² = (sec² - 1)/(sec²)",
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"id": 1001874240821272700,
"author_id": 424934449734615100,
"author_name": "Aayush12",
"timestamp": "07/27/2022 11:30:32",
"content": "Ohhhhh",
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{
"id": 1001874532107292700,
"author_id": 424934449734615100,
"author_name": "Aayush12",
"timestamp": "07/27/2022 11:31:42",
"content": "Thank uu",
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{
"id": 1001874547093545100,
"author_id": 424934449734615100,
"author_name": "Aayush12",
"timestamp": "07/27/2022 11:31:45",
"content": ".close",
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},
{
"id": 1001874549157142500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 11:31:46",
"content": "Channel closed",
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] |
help-9
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c082a957e17142a184111a741540c164
|
197,466 |
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"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 11:57:12",
"content": "Available help channel!",
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},
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"id": 1001884996975468700,
"author_id": 814154704128835600,
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"timestamp": "07/27/2022 12:13:17",
"content": "Pinned a message.",
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"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:13:20",
"content": "can someone please explain, i don’t get it",
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"author_id": 957811584661590000,
"author_name": "Fade",
"timestamp": "07/27/2022 12:18:11",
"content": "@✰. fir3",
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"timestamp": "07/27/2022 12:18:21",
"content": "?",
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"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:20:04",
"content": "@Fade",
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"id": 1001886731555049600,
"author_id": 957811584661590000,
"author_name": "Fade",
"timestamp": "07/27/2022 12:20:10",
"content": "@✰. fir3 First of all do you know what this is called?",
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"id": 1001886809615249500,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:20:29",
"content": "Interpreting linear functions",
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{
"id": 1001886877432942700,
"author_id": 957811584661590000,
"author_name": "Fade",
"timestamp": "07/27/2022 12:20:45",
"content": "Yeah",
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{
"id": 1001886910718935200,
"author_id": 957811584661590000,
"author_name": "Fade",
"timestamp": "07/27/2022 12:20:53",
"content": "So when m is 0 how many gallons does she have?",
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{
"id": 1001886958286553100,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:21:05",
"content": "15",
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{
"id": 1001886993921355900,
"author_id": 957811584661590000,
"author_name": "Fade",
"timestamp": "07/27/2022 12:21:13",
"content": "Okay.",
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{
"id": 1001887028901847200,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:21:21",
"content": "?",
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},
{
"id": 1001887109784817700,
"author_id": 957811584661590000,
"author_name": "Fade",
"timestamp": "07/27/2022 12:21:41",
"content": "You need to get gallons",
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{
"id": 1001887138545160200,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:21:47",
"content": "?",
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},
{
"id": 1001887149701996700,
"author_id": 957811584661590000,
"author_name": "Fade",
"timestamp": "07/27/2022 12:21:50",
"content": "Cause it’s “miles” in units",
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{
"id": 1001887226805899300,
"author_id": 957811584661590000,
"author_name": "Fade",
"timestamp": "07/27/2022 12:22:09",
"content": "Wait just a side question have you taken physics ??",
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"id": 1001887263954841600,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:22:17",
"content": "yes",
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},
{
"id": 1001887298016780300,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:22:26",
"content": "but what does that have to do with the question",
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{
"id": 1001887321685229700,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:22:31",
"content": "TvT",
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},
{
"id": 1001887347643781400,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:22:37",
"content": "Look I get this part",
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},
{
"id": 1001887406804439200,
"author_id": 957811584661590000,
"author_name": "Fade",
"timestamp": "07/27/2022 12:22:51",
"content": "Do you want the answer?",
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{
"id": 1001887419026653200,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:22:54",
"content": "15(gallons) - the miles / 32 (mystery unit)",
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},
{
"id": 1001887438878277800,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:22:59",
"content": "I don’t want the answer",
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},
{
"id": 1001887457685536800,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:23:04",
"content": "I want an explanation",
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},
{
"id": 1001887481437880400,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:23:09",
"content": "why is the answer the answer",
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},
{
"id": 1001887484701048800,
"author_id": 957811584661590000,
"author_name": "Fade",
"timestamp": "07/27/2022 12:23:10",
"content": "Okay I’ll explain it",
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},
{
"id": 1001887489956520000,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:23:11",
"content": "I don’t get it",
"attachments": [],
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},
{
"id": 1001887783142563800,
"author_id": 957811584661590000,
"author_name": "Fade",
"timestamp": "07/27/2022 12:24:21",
"content": "The answer is the last one",
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{
"id": 1001887836041134200,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:24:34",
"content": "um",
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},
{
"id": 1001887837966319600,
"author_id": 957811584661590000,
"author_name": "Fade",
"timestamp": "07/27/2022 12:24:34",
"content": "Basically",
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{
"id": 1001887840264781800,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:24:35",
"content": "yuh",
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},
{
"id": 1001887846598189200,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:24:36",
"content": "but why",
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},
{
"id": 1001887852403110000,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:24:38",
"content": "😭",
"attachments": [],
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},
{
"id": 1001888090832515200,
"author_id": 957811584661590000,
"author_name": "Fade",
"timestamp": "07/27/2022 12:25:35",
"content": "She would have to drive 32 miles to get rid of 1 gallon of gas. She would have to drive 15 times to get rid of the whole tank",
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{
"id": 1001888302523228200,
"author_id": 957811584661590000,
"author_name": "Fade",
"timestamp": "07/27/2022 12:26:25",
"content": "Does that make sense",
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},
{
"id": 1001888532266238100,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:27:20",
"content": "uh-",
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},
{
"id": 1001888549156700300,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:27:24",
"content": "no i don’t get it",
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},
{
"id": 1001888558463856600,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:27:26",
"content": ":NervousSweat:",
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},
{
"id": 1001888592618062000,
"author_id": 957811584661590000,
"author_name": "Fade",
"timestamp": "07/27/2022 12:27:34",
"content": "It’s hard to explain over text",
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},
{
"id": 1001888627204313200,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:27:42",
"content": "call?",
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},
{
"id": 1001888722574385300,
"author_id": 957811584661590000,
"author_name": "Fade",
"timestamp": "07/27/2022 12:28:05",
"content": "I have a video that goes over the problem",
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},
{
"id": 1001888764504838100,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:28:15",
"content": "me too",
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},
{
"id": 1001888781424660600,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:28:19",
"content": "but i don’t get the video",
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},
{
"id": 1001888807794266200,
"author_id": 957811584661590000,
"author_name": "Fade",
"timestamp": "07/27/2022 12:28:25",
"content": "It still doesn’t make sense?",
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{
"id": 1001888829633990800,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:28:31",
"content": "nope",
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{
"id": 1001888874294948000,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:28:41",
"content": "i don’t get it",
"attachments": [],
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},
{
"id": 1001888998194692200,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:29:11",
"content": "i wanna understand it fully cause what if they word it different in the exam or use different numbers or wtvr",
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{
"id": 1001889015550709800,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:29:15",
"content": "and i can’t solve it",
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{
"id": 1001889040007708700,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:29:21",
"content": "cause i didn’t understand it",
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"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:29:24",
"content": "you know?",
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"id": 1001889055212056700,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:29:24",
"content": "so",
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},
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"id": 1001889084454744000,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:29:31",
"content": "please explain it a bit more",
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},
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"id": 1001889097280925800,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:29:34",
"content": ":NervousSweat:",
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},
{
"id": 1001889353120874600,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/27/2022 12:30:35",
"content": "what happens when m=32 in the equation?",
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},
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"id": 1001890291017592800,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:34:19",
"content": "miles",
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{
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"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:34:25",
"content": "uh",
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"id": 1001890330980925400,
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"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:34:29",
"content": "idk",
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},
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"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:34:32",
"content": "🧍♀️",
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},
{
"id": 1001890387696296000,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:34:42",
"content": "32 miles?",
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},
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"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/27/2022 12:35:04",
"content": "**what is g when m=32?**",
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"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:37:02",
"content": "gallons per mile?",
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},
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"id": 1001890993672564900,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:37:07",
"content": "ok but",
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},
{
"id": 1001891014266593400,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:37:12",
"content": "why would m=32",
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},
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"id": 1001891056599699600,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:37:22",
"content": "If m=32",
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"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:37:33",
"content": "why is it m/32",
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},
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"id": 1001891119589752800,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:37:37",
"content": "and not just",
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},
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"id": 1001891143413416100,
"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:37:42",
"content": "1/32",
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"timestamp": "07/27/2022 12:37:47",
"content": "or 32",
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"author_name": "✰. fir3",
"timestamp": "07/27/2022 12:38:29",
"content": "TvT",
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},
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"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 12:53:29",
"content": "@✰. fir3 Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
71d2df9e7f0a45b281487014f856a34f
|
197,467 |
[
{
"id": 1001896683812175900,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "07/27/2022 12:59:43",
"content": "@✰. fir3 he asked you what is g in m=32, all you had to do is",
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"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "07/27/2022 13:00:02",
"content": "g=15 - 32/32",
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},
{
"id": 1001896782990684300,
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"content": "g=14",
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"timestamp": "07/27/2022 13:00:20",
"content": "ohhhhh",
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"author_name": "✰. fir3",
"timestamp": "07/27/2022 13:00:25",
"content": "i read it wrong",
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"author_id": 814154704128835600,
"author_name": "✰. fir3",
"timestamp": "07/27/2022 13:00:26",
"content": "my bad",
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},
{
"id": 1001914609701244900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 14:10:57",
"content": "Available help channel!",
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},
{
"id": 1001918446843473900,
"author_id": 211873402573553660,
"author_name": "CvE",
"timestamp": "07/27/2022 14:26:12",
"content": "So my textbook is currently explaing roots and its properties. But there is one property that is not explained clearly and what it is meant for it View the picture for what i mean. Does anyone have an idea on what this means and why it is important?",
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"id": 1001918448940617900,
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"timestamp": "07/27/2022 14:26:12",
"content": "Pinned a message.",
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"id": 1001918709641777200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/27/2022 14:27:15",
"content": "$\\frac{1}{\\sqrt{a}}= \\frac{1}{\\sqrt{a}}\\cdot \\frac{\\sqrt{a}}{\\sqrt{a}} = \\frac{\\sqrt{a}}{a}$",
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},
{
"id": 1001918719892656100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/27/2022 14:27:17",
"content": "**Denascite**",
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"id": 1001918984293195800,
"author_id": 211873402573553660,
"author_name": "CvE",
"timestamp": "07/27/2022 14:28:20",
"content": "Ah so when multiplying fractions with roots you have to be more cautious. Is there a maybe a youtube video that explains this clearly?",
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},
{
"id": 1001919144641437800,
"author_id": 211873402573553660,
"author_name": "CvE",
"timestamp": "07/27/2022 14:28:58",
"content": "because why is that the denomiator of the same root multiplied just get you a?",
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},
{
"id": 1001919192381018100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/27/2022 14:29:10",
"content": "sqrt(a)*sqrt(a)=a",
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"id": 1001919209607012500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/27/2022 14:29:14",
"content": "that's just the def of sqrt",
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},
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"id": 1001919227927728300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/27/2022 14:29:18",
"content": "(assuming a>0)",
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"id": 1001919349495431200,
"author_id": 211873402573553660,
"author_name": "CvE",
"timestamp": "07/27/2022 14:29:47",
"content": "Ahh okay ty very much!",
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},
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"id": 1001919357015834800,
"author_id": 211873402573553660,
"author_name": "CvE",
"timestamp": "07/27/2022 14:29:49",
"content": ".close",
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},
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"id": 1001919359163314300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 14:29:49",
"content": "Channel closed",
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}
] |
help-9
|
45568b3ac5914b0381fedebf83165089
|
197,468 |
[
{
"id": 1001919368193658900,
"author_id": 125307464647180290,
"author_name": "Azyrashacorki",
"timestamp": "07/27/2022 14:29:52",
"content": "It's called rationalization. It is common to do this as a simplification in some cases. Here's a video that has some examples : https://youtu.be/gY5TvlHg4Vk",
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},
{
"id": 1001919415778033700,
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"author_name": "CvE",
"timestamp": "07/27/2022 14:30:03",
"content": "Ahh thanks I will look right into it!",
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"timestamp": "07/27/2022 14:30:13",
"content": "Appreciate it a lot",
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},
{
"id": 1001919493880152200,
"author_id": 211873402573553660,
"author_name": "CvE",
"timestamp": "07/27/2022 14:30:22",
"content": ".close",
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},
{
"id": 1001919524913819800,
"author_id": 211873402573553660,
"author_name": "CvE",
"timestamp": "07/27/2022 14:30:29",
"content": ".close",
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},
{
"id": 1001920972586229900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 14:36:14",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1001921890119581700,
"author_id": 301466996057571300,
"author_name": "jpjthunder",
"timestamp": "07/27/2022 14:39:53",
"content": "",
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"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 14:39:53",
"content": "Pinned a message.",
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"author_id": 301466996057571300,
"author_name": "jpjthunder",
"timestamp": "07/27/2022 14:39:56",
"content": "am I wrong about this",
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},
{
"id": 1001921943181725700,
"author_id": 301466996057571300,
"author_name": "jpjthunder",
"timestamp": "07/27/2022 14:40:06",
"content": "x = 4y^2 + 4z^2",
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},
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"id": 1001921958914572300,
"author_id": 301466996057571300,
"author_name": "jpjthunder",
"timestamp": "07/27/2022 14:40:09",
"content": "so maybe",
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},
{
"id": 1001922007493001200,
"author_id": 301466996057571300,
"author_name": "jpjthunder",
"timestamp": "07/27/2022 14:40:21",
"content": "x=4r^2",
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},
{
"id": 1001922036387565700,
"author_id": 301466996057571300,
"author_name": "jpjthunder",
"timestamp": "07/27/2022 14:40:28",
"content": "and change dz to dx",
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},
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"id": 1001922525263036400,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "07/27/2022 14:42:24",
"content": "hey, sorry i can't help you, i just wanted to know in what grade you learn this?",
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"timestamp": "07/27/2022 14:43:00",
"content": "this is calc 3",
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"timestamp": "07/27/2022 14:43:13",
"content": "so probably sophamore of college",
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"author_name": "jpjthunder",
"timestamp": "07/27/2022 14:43:18",
"content": "depends on what classes u take",
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},
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"id": 1001923011059925100,
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"author_name": "nisrine",
"timestamp": "07/27/2022 14:44:20",
"content": "okay thanks!",
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},
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"id": 1001923285027651700,
"author_id": 301466996057571300,
"author_name": "jpjthunder",
"timestamp": "07/27/2022 14:45:25",
"content": "np",
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},
{
"id": 1001924507575005300,
"author_id": 160921656313905150,
"author_name": "Katharine",
"timestamp": "07/27/2022 14:50:17",
"content": "what parametrization can you use",
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"author_name": "jpjthunder",
"timestamp": "07/27/2022 14:52:26",
"content": "I trying to find the volume using triple integrals so I was thinking maybe I can convert to polar coordinates",
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"id": 1001925370557235300,
"author_id": 160921656313905150,
"author_name": "Katharine",
"timestamp": "07/27/2022 14:53:43",
"content": "i actually wonder if spherical is good here",
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"id": 1001925446151196700,
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"timestamp": "07/27/2022 14:54:01",
"content": "spherical?",
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"id": 1001925512148557800,
"author_id": 160921656313905150,
"author_name": "Katharine",
"timestamp": "07/27/2022 14:54:16",
"content": "3d polar",
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"id": 1001925518138036200,
"author_id": 160921656313905150,
"author_name": "Katharine",
"timestamp": "07/27/2022 14:54:18",
"content": "😄",
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},
{
"id": 1001925537612189800,
"author_id": 301466996057571300,
"author_name": "jpjthunder",
"timestamp": "07/27/2022 14:54:23",
"content": "idk spherical coordinates are hard for me tbh",
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"id": 1001925588413599900,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/27/2022 14:54:35",
"content": "My guess is cylindrical coords rather than spherical",
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"timestamp": "07/27/2022 14:55:38",
"content": "yeah that would work",
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"id": 1001925925753082000,
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"author_name": "Katharine",
"timestamp": "07/27/2022 14:55:55",
"content": "x would be a different value from normal cylindrical obviously",
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"id": 1001925975229091800,
"author_id": 216912122083409920,
"author_name": "Learath2",
"timestamp": "07/27/2022 14:56:07",
"content": "But notice the circle is on the yz plane, not the xy plane as usual",
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"timestamp": "07/27/2022 14:56:33",
"content": "So you'll need to use a rotated cylindrical coordinate system with the height on x",
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"timestamp": "07/27/2022 14:56:54",
"content": "I think the radius is equal to 1",
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"timestamp": "07/27/2022 14:57:01",
"content": "https://mathworld.wolfram.com/Paraboloid.html",
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"content": "Nah. It's a paraboloid so the radius grows with height",
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"content": "Im trying to make a cylindrical coordinate integral",
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"content": "maybe it is sqrt(x/4)",
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"content": "Well what does the radius is equal to 1 even mean in that case? The entire space has an infinite number of points and each point has a r component",
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"content": "The radius of what?",
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"content": "x stops at 4",
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"timestamp": "07/27/2022 15:00:07",
"content": "You can calculate the max radius of the paraboloid, yes",
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"timestamp": "07/27/2022 15:04:20",
"content": "I was visualizing how x=4y^2+4z^2 would look",
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"content": "and it seem that the radius stops at 1 idk",
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"content": "Well you can calculate the radius. We know it's max at x = 4. So just plug that in and you'll get your answer",
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"content": "divide 4 on both sides I get 1=y^2+z^2",
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"content": "x = x, y = sin(t), z = cos(t) then you can use polar coordinates almost like normal.",
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"content": "now go to polar coordinates on the yz plane and you'll get r = 1",
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"content": "Now there isn't much use to that 1 unless you want to integrate along x first though.",
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"timestamp": "07/27/2022 15:10:10",
"content": "I guess there is no harm in that either, just need to pick an order and start working I guess. No point sitting around looking at the paraboloid 😄",
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"timestamp": "07/27/2022 15:12:45",
"content": "Mathematica, I can respect that.",
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"timestamp": "07/27/2022 15:19:56",
"content": "This is how you should try and imagine the modified polar coordinates system.",
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"content": "unfortunetly I got the wrong answer",
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"content": "I got 8pi",
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"timestamp": "07/27/2022 15:20:38",
"content": "Did you remember to multiply the integrand by r when doing the transform?",
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"timestamp": "07/27/2022 15:20:39",
"content": "instead of 16pi/3",
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"timestamp": "07/27/2022 15:20:55",
"content": "yea",
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"timestamp": "07/27/2022 15:21:05",
"content": "Can you show us your final integral?",
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"timestamp": "07/27/2022 15:21:20",
"content": "yea one sec",
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"timestamp": "07/27/2022 15:21:24",
"content": "getting my phone",
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"timestamp": "07/27/2022 15:21:53",
"content": "If you are going with bars parallel to x be careful that you subtract from 4 to get the inside of the paraboloid. If that's not the problem either, yeah just show us 😛",
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"content": "I'm not sure what method you've both been discussing.",
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"timestamp": "07/27/2022 15:23:33",
"content": "If it's x = x, y = r cos(t), z = r sin(t) then x remains x in the integrand.",
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"content": "You are confusing boundary conditions with the transform",
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"timestamp": "07/27/2022 15:24:56",
"content": "who me?",
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"timestamp": "07/27/2022 15:25:25",
"content": "Yep, x = 4y^2 + 4z^2 at the surface of the paraboloid. Not inside it",
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"timestamp": "07/27/2022 15:26:18",
"content": "oh so are u saying the the dxdydz are in the wrong order?",
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"timestamp": "07/27/2022 15:26:19",
"content": "Hm, aren't you missing an r there? If so, isn't this transform losing a dimension?",
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"content": "Fixed now. Thank you.",
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"timestamp": "07/27/2022 15:27:16",
"content": "@jpjthunder no, the thing you did to x, it makes no sense",
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"timestamp": "07/27/2022 15:27:45",
"content": "oh x isnt supposed to equation that equation",
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"content": "For all points in our space, we did a linear transformation. `x = x, y = r cos(t), z = r sin(t)` This is the transformation we need to apply to our integrand too",
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"content": "x stays x in this transformation, so there is nothing to be done to the integrand (except multiplying by the jacobian (r for this transform) ofc)",
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"timestamp": "07/27/2022 15:29:47",
"content": "With that fixed you should get:",
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"timestamp": "07/27/2022 15:29:48",
"content": "$\\int_{0}^{2\\pi}\\dd \\theta \\int_{0}^{1}r\\dd r \\int_{4r^2}^{4} x\\dd x$",
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"timestamp": "07/27/2022 15:30:09",
"content": "**stabulo**",
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"timestamp": "07/27/2022 15:30:23",
"content": "ah ok",
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"timestamp": "07/27/2022 15:31:49",
"content": "I still don't like this way of writing it, but yes this is about what you should have",
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"timestamp": "07/27/2022 15:33:01",
"content": "$\\int{0}^{2\\pi} 2\\dd \\theta$",
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"content": "sorry getting use to the thing",
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"timestamp": "07/27/2022 15:33:14",
"content": "Missing an _ after int",
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"content": "You can edit it and the bot will pick up the change",
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"content": "I love it. It makes you know it is a iterated integral and the order it must be done in.",
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"content": "im just going to take a picture lol",
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"content": "I mean the order of the \\dd \\theta, \\dd r and \\dd x at the end will also let you know the order, no?",
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"content": "oh forgot to put the dr and dtheta",
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"content": "This requires you to look at the order of dx dy dz and maybe when you look back and forth you mix up the order.",
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"content": "You should get 16 pi/3 when you evaluate it.",
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"content": "I guess it's just that the other form was used in my book, so my mind immediately goes to multiplying the 3 integrals together when you write it like you do",
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"content": "Oh. I guess I can see that too. I'd use brackets in that case lol. I can't imagine writing it in that other way now I've learnt this way.",
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"content": "My book has indoctrinated me, sorry.",
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"content": "Integrating by bars parallel to x you can also do $\\iint_C 4 - \\int_{0}^{r^2} rx \\dd x \\dd r \\dd \\theta$ where C is large disc we have at x=4",
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"timestamp": "07/27/2022 15:43:07",
"content": "**Learath2**",
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"author_name": "jpjthunder",
"timestamp": "07/27/2022 15:46:27",
"content": "got the answer right finally lol",
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"timestamp": "07/27/2022 15:50:01",
"content": "this one is going to be hard ngl",
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"timestamp": "07/27/2022 15:53:10",
"content": "Why does the writer not say E is the region bounded by the surfaces. It's really strange.",
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"content": "Seems easier than the previous one after a plot.",
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"content": "oh it is in the forth dimension I forgot",
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"timestamp": "07/27/2022 15:55:22",
"content": "so it should effect the shape at all",
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"timestamp": "07/27/2022 15:55:44",
"content": "Fourth dimension?",
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"timestamp": "07/27/2022 15:56:05",
"content": "the integrands output I think I am overthinking it",
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"author_name": "stabulo",
"timestamp": "07/27/2022 15:56:23",
"content": "x = x, y = r cos(theta), z = r sin(theta). Change the integrand accordingly.",
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"timestamp": "07/27/2022 15:56:34",
"content": "I think you can figure the bounds out.",
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"timestamp": "07/27/2022 16:05:40",
"content": "the trig function messed me up",
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"timestamp": "07/27/2022 16:05:50",
"content": "the u substitution was wrong idk",
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"author_name": "stabulo",
"timestamp": "07/27/2022 16:06:28",
"content": "Show us the initial set up before evaluating.",
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"timestamp": "07/27/2022 16:07:54",
"content": "am I doing it correctly so far?",
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"timestamp": "07/27/2022 16:08:39",
"content": "It's between the surfaces x = 0 and x = 1 - r^2.",
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"timestamp": "07/27/2022 16:11:04",
"content": "oh that makes sense",
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"timestamp": "07/27/2022 16:11:11",
"content": "cuz x is a line",
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"timestamp": "07/27/2022 16:11:23",
"content": "its going to be different each radius",
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"timestamp": "07/27/2022 16:15:21",
"content": "Correcting that gives you the correct set up it seems.",
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"timestamp": "07/27/2022 16:26:23",
"content": "@jpjthunder Has your question been resolved?",
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"timestamp": "07/27/2022 16:30:43",
"content": "I keep getting 0 but it is wrong",
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"id": 1001950187545178100,
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"author_name": "stabulo",
"timestamp": "07/27/2022 16:32:20",
"content": "$\\int_{0}^{2\\pi}\\dd{\\theta} \\int_{0}^{1} r \\dd{r} \\int_{0}^{1 - r^2} r^4 \\sin^2 \\theta \\cos^2 \\theta \\dd{x}$",
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"timestamp": "07/27/2022 16:32:36",
"content": "I forgot to square sine and cosine",
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"author_name": "stabulo",
"timestamp": "07/27/2022 16:32:38",
"content": "Is this what you tried evaluating?",
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"id": 1001950298706804700,
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"author_name": "stabulo",
"timestamp": "07/27/2022 16:32:46",
"content": "Oh ok.",
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"id": 1001950527569014800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/27/2022 16:33:41",
"content": "**stabulo**",
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"timestamp": "07/27/2022 16:34:17",
"content": "We now know it gives the correct answer so we just need to check our calculations.",
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"timestamp": "07/27/2022 16:50:35",
"content": "honestly I got the math wrong but this was just practice",
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"id": 1001954841037377700,
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"author_name": "jpjthunder",
"timestamp": "07/27/2022 16:50:49",
"content": "it was so many steps it would have taken me all day to get correct",
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"id": 1001955165110280300,
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"author_name": "stabulo",
"timestamp": "07/27/2022 16:52:06",
"content": "I don't normally both to evaluate them myself.",
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"author_name": "jpjthunder",
"timestamp": "07/27/2022 16:53:37",
"content": "Im starting to think that maybe some of these questions are supposed to be done with graphing calculators lol",
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"id": 1001955686000902100,
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"author_name": "stabulo",
"timestamp": "07/27/2022 16:54:10",
"content": "Well the plot could be done in your head once you're used to things or to be able to produce a rough sketch.",
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"timestamp": "07/27/2022 16:54:19",
"content": "I only did the plot to clearly show what the region was.",
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"timestamp": "07/27/2022 17:23:37",
"content": "@jpjthunder Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
d6b345209b1d43658f9f774bd07bd734
|
197,469 |
[
{
"id": 1001970900247249000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 17:54:38",
"content": "Available help channel!",
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},
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"id": 1001972066507042800,
"author_id": 919269683352457200,
"author_name": "Funciones Reales",
"timestamp": "07/27/2022 17:59:16",
"content": "Good afternoon! \nI have the following question:\n\nI have to investigate if the union of two inductive sets of R is an inductive set.\n\n(I already proved that the intersection is inductive, but I don't know how to do it with the union)\n\nI have thought about the following:\n\n\nA,B are inductive sets of R.\n\nShow that AuB is inductive of R.\n\n\nBy letter, A and B satisfy that:\n\n\n0 belongs to A and B.\n\nIf h belongs to A, then h+1 belongs to A, same with B.\n\n\nThen:\n\n0 belongs to A and B, therefore it also belongs to the union AuB (1)\n\nThen, since h and h+1 belong to A, they also belong to AuB. The same with B. Therefore, if h belongs to AuB it will also belong to h+1 (2)\n\nSince conditions (1) and (2) are met, then the union of two inductive sets is another inductive set.\n\nIt is right?",
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"timestamp": "07/27/2022 17:59:17",
"content": "Pinned a message.",
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}
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{
"id": 1001974236203712500,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "07/27/2022 18:07:53",
"content": "I disagree with the fact that 0 has to be in both A and B (but I guess this depends on what you mean by 'inductive set'), but your general idea looks fine",
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"id": 1001974452017430700,
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"author_name": "Funciones Reales",
"timestamp": "07/27/2022 18:08:45",
"content": "Well, 0 must be in A and B because the letter says that A and B are inductive sets, for this 0 must be in A and also in B.",
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"id": 1001974572951810200,
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"author_name": "Funciones Reales",
"timestamp": "07/27/2022 18:09:13",
"content": "We assume that an inductive set must have 0, in other courses they only consider 1.",
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},
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"id": 1001974575074119800,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "07/27/2022 18:09:14",
"content": "ah, if thats how you define it, then sure",
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},
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"id": 1001974680141451400,
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"author_name": "Toby",
"timestamp": "07/27/2022 18:09:39",
"content": "but doesnt your definition imply that the only inductive set is the natural numbers?",
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},
{
"id": 1001974975323967500,
"author_id": 919269683352457200,
"author_name": "Funciones Reales",
"timestamp": "07/27/2022 18:10:49",
"content": "I don't think so, N is just the smallest set of the inductive sets",
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},
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"id": 1001975031699607700,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "07/27/2022 18:11:03",
"content": "yeah, nvm",
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},
{
"id": 1001975068525596700,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "07/27/2022 18:11:12",
"content": "I misread your inductive step",
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},
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"id": 1001975085843886100,
"author_id": 919269683352457200,
"author_name": "Funciones Reales",
"timestamp": "07/27/2022 18:11:16",
"content": "We define the set of naturals as the intersection of all the inductive sets of R.",
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"id": 1001975195495563400,
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"author_name": "Toby",
"timestamp": "07/27/2022 18:11:42",
"content": "I agree with your proof then",
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"id": 1001975231189102700,
"author_id": 919269683352457200,
"author_name": "Funciones Reales",
"timestamp": "07/27/2022 18:11:50",
"content": "Thanks you",
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},
{
"id": 1001975366216319100,
"author_id": 919269683352457200,
"author_name": "Funciones Reales",
"timestamp": "07/27/2022 18:12:23",
"content": ".close",
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},
{
"id": 1001975368057626600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 18:12:23",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
5288a0136c8a4684a1f0a1a59e587426
|
197,470 |
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"timestamp": "07/27/2022 18:13:24",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001976435793211400,
"author_id": 498674161460314100,
"author_name": "Alexis Castro",
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"content": "",
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"timestamp": "07/27/2022 18:16:38",
"content": "Pinned a message.",
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"id": 1001976448527106200,
"author_id": 498674161460314100,
"author_name": "Alexis Castro",
"timestamp": "07/27/2022 18:16:41",
"content": "Hello.\nI am trying to solve this differential equation by the Laplace transform method but I don't get the result that the book and software Maple18 and Wolfram mathematics gives me. could someone please help me?",
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"timestamp": "07/27/2022 18:18:09",
"content": "I get this result",
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},
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"id": 1001977032168722400,
"author_id": 498674161460314100,
"author_name": "Alexis Castro",
"timestamp": "07/27/2022 18:19:00",
"content": "The result of the pound and the software are: y(t)= e^t-e^5t-e^-t",
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"timestamp": "07/27/2022 18:34:00",
"content": "@Alexis Castro Has your question been resolved?",
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"timestamp": "07/27/2022 18:42:05",
"content": "Compare to this to see if your first steps are correct.",
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"timestamp": "07/27/2022 18:42:31",
"content": "a_n is the coefficient attached to y^(n) etc.",
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"id": 1001985360403890200,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "07/27/2022 18:52:05",
"content": "Using this you should get (s^2 + 6s + 5)L[y] - (s + 6)y(0) -y'(0) = 12/(s-1) which simplifies to\n(s^2 + 6s + 5)L[y] + s + 6 - 7 = (s^2 + 6s + 5)L[y] + s - 1 = 12/(s-1).\nHence \n(s^2 + 6s + 5)L[y] = 12/(s-1) - (s - 1). \nL[y] = 12/[(s-1)(s+5)(s+1)] - (s - 1)/[(s+1)(s+5)].",
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},
{
"id": 1001985371720122500,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "07/27/2022 18:52:08",
"content": "@Alexis Castro",
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{
"id": 1001986019203235800,
"author_id": 498674161460314100,
"author_name": "Alexis Castro",
"timestamp": "07/27/2022 18:54:42",
"content": "Jum",
"attachments": [],
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"reference": null
},
{
"id": 1001986197280788500,
"author_id": 498674161460314100,
"author_name": "Alexis Castro",
"timestamp": "07/27/2022 18:55:25",
"content": "I will check, thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1001993747917180900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 19:25:25",
"content": "@Alexis Castro Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 19:55:25",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
169c302998ff4cee8e3b67fe68c4ef97
|
197,471 |
[
{
"id": 959244573132071000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 20:15:28",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959244906621198300,
"author_id": 863094991252881400,
"author_name": "vn",
"timestamp": "03/31/2022 20:16:47",
"content": "Having a lot of trouble with this practice problem",
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"id": 959244908777058400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 20:16:48",
"content": "Pinned a message.",
"attachments": [],
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"id": 959245036925636600,
"author_id": 863094991252881400,
"author_name": "vn",
"timestamp": "03/31/2022 20:17:18",
"content": "I can't use a logarithm since it cant contain a negative among other issues with the problem",
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},
{
"id": 959245175253786600,
"author_id": 863094991252881400,
"author_name": "vn",
"timestamp": "03/31/2022 20:17:51",
"content": "I dont think I can set a limit as it approaches infinity for the problem",
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},
{
"id": 959245263292203000,
"author_id": 863094991252881400,
"author_name": "vn",
"timestamp": "03/31/2022 20:18:12",
"content": "since -1^*inf* is not possible",
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},
{
"id": 959245371798859800,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:18:38",
"content": "alternating series test",
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},
{
"id": 959245392644542500,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:18:43",
"content": ":peeposalute:",
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},
{
"id": 959245421211951100,
"author_id": 863094991252881400,
"author_name": "vn",
"timestamp": "03/31/2022 20:18:50",
"content": "alternating series test",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959245434835066900,
"author_id": 863094991252881400,
"author_name": "vn",
"timestamp": "03/31/2022 20:18:53",
"content": "that rings a bell",
"attachments": [],
"mentions": [],
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},
{
"id": 959245468011987000,
"author_id": 863094991252881400,
"author_name": "vn",
"timestamp": "03/31/2022 20:19:01",
"content": "do i have to find my a1 a2 a3?",
"attachments": [],
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},
{
"id": 959245519257997300,
"author_id": 863094991252881400,
"author_name": "vn",
"timestamp": "03/31/2022 20:19:13",
"content": "It is a sequence right",
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},
{
"id": 959245543371063300,
"author_id": 863094991252881400,
"author_name": "vn",
"timestamp": "03/31/2022 20:19:19",
"content": "I thought that was for a series",
"attachments": [],
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},
{
"id": 959245549817692200,
"author_id": 863094991252881400,
"author_name": "vn",
"timestamp": "03/31/2022 20:19:20",
"content": ":Pepe_Hmm:",
"attachments": [],
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},
{
"id": 959245616154837000,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:19:36",
"content": "no, you do the alternating series test and it'll tell you if it converges or diverges",
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},
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"id": 959245865057398800,
"author_id": 863094991252881400,
"author_name": "vn",
"timestamp": "03/31/2022 20:20:36",
"content": "alright, I'll give it a go",
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},
{
"id": 959246288942170100,
"author_id": 863094991252881400,
"author_name": "vn",
"timestamp": "03/31/2022 20:22:17",
"content": "@CoffeePls so this is a little new to me, I think I have to find a1-a5 then find a pattern and see if it is 0=divergence or 0=/= and converges",
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"id": 959246298853306400,
"author_id": 863094991252881400,
"author_name": "vn",
"timestamp": "03/31/2022 20:22:19",
"content": "iirc",
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},
{
"id": 959246333741523000,
"author_id": 863094991252881400,
"author_name": "vn",
"timestamp": "03/31/2022 20:22:27",
"content": "I'm 100% misremembering it",
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},
{
"id": 959246597751996400,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:23:30",
"content": "I belive uhh",
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},
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"id": 959246642668769300,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:23:41",
"content": "",
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"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:23:49",
"content": "you do 1 with limits",
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},
{
"id": 959246718728302600,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:23:59",
"content": "and 2 by comparing n+1 with n",
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},
{
"id": 959246728589111300,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:24:02",
"content": "if that makes sense",
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},
{
"id": 959246741352349700,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:24:05",
"content": "1 sec",
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},
{
"id": 959246883140800500,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:24:38",
"content": "actually you know what? I forgot most of these :SadCat:",
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},
{
"id": 959246898135433200,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:24:42",
"content": "im sorry",
"attachments": [],
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},
{
"id": 959246925427793900,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:24:48",
"content": "but I'm pretty confident it's AST",
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},
{
"id": 959246964753563600,
"author_id": 863094991252881400,
"author_name": "vn",
"timestamp": "03/31/2022 20:24:58",
"content": "I am too now",
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"id": 959246973876195300,
"author_id": 863094991252881400,
"author_name": "vn",
"timestamp": "03/31/2022 20:25:00",
"content": "I'm sold",
"attachments": [],
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},
{
"id": 959248080572678300,
"author_id": 863094991252881400,
"author_name": "vn",
"timestamp": "03/31/2022 20:29:24",
"content": "@CoffeePls the issue it is a sequence, can the alternating series test apply to a sequence?",
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"id": 959248137640349800,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:29:37",
"content": "oh shit",
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},
{
"id": 959248152517566600,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:29:41",
"content": "you just reminded me",
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},
{
"id": 959248176332828800,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:29:47",
"content": "yeha no, no AST for a sequence",
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},
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"id": 959248211971821600,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:29:55",
"content": "for sequence you just apply limit to infinity",
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"id": 959248227742400500,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:29:59",
"content": "and see what you get",
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},
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"id": 959248276056576000,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:30:10",
"content": "but I forgot the condition 1 sec",
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},
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"id": 959248405685731300,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:30:41",
"content": "yah it's not in my notes :(",
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},
{
"id": 959248420864933900,
"author_id": 852592874754932700,
"author_name": "CoffeePls",
"timestamp": "03/31/2022 20:30:45",
"content": "you're gonna have to google",
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},
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"id": 959249164947038200,
"author_id": 863094991252881400,
"author_name": "vn",
"timestamp": "03/31/2022 20:33:42",
"content": "damn",
"attachments": [],
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},
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"id": 959249542572806100,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "03/31/2022 20:35:12",
"content": "just write a few terms",
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},
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"id": 959250213682442200,
"author_id": 863094991252881400,
"author_name": "vn",
"timestamp": "03/31/2022 20:37:52",
"content": "then find a pattern?",
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"id": 959250224105275400,
"author_id": 863094991252881400,
"author_name": "vn",
"timestamp": "03/31/2022 20:37:55",
"content": "maybe",
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"id": 959250292057198600,
"author_id": 863094991252881400,
"author_name": "vn",
"timestamp": "03/31/2022 20:38:11",
"content": "or what would I do with that",
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},
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"id": 959250348084695200,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "03/31/2022 20:38:24",
"content": "ye",
"attachments": [],
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"id": 959250572773568500,
"author_id": 863094991252881400,
"author_name": "vn",
"timestamp": "03/31/2022 20:39:18",
"content": "I will try it, but I'm honestly not sure what to do with that",
"attachments": [],
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},
{
"id": 959250998977785900,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "03/31/2022 20:41:00",
"content": "its the same way u guess if smth like 1/n converges, write a few terms, see if limit exists",
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},
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"id": 959254349127761900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 20:54:18",
"content": "@vn Has your question been resolved?",
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"timestamp": "03/31/2022 21:06:42",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
3a8e15a06b9944c2b252ae09a639d0cb
|
197,472 |
[
{
"id": 1002010020294168600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 20:30:05",
"content": "Available help channel!",
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},
{
"id": 1002011825065431000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 20:37:15",
"content": "Pinned a message.",
"attachments": [],
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}
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{
"id": 1002012424439877600,
"author_id": 620265976616714200,
"author_name": "linx",
"timestamp": "07/27/2022 20:39:38",
"content": "what grade is that",
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"id": 1002012639548936200,
"author_id": 620265976616714200,
"author_name": "linx",
"timestamp": "07/27/2022 20:40:29",
"content": "ok nvm then",
"attachments": [],
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},
{
"id": 1002012699582025700,
"author_id": 620265976616714200,
"author_name": "linx",
"timestamp": "07/27/2022 20:40:44",
"content": "i cant do this linear system question lmfao and im in gr10",
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},
{
"id": 1002012752073723900,
"author_id": 620265976616714200,
"author_name": "linx",
"timestamp": "07/27/2022 20:40:56",
"content": "yeah",
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},
{
"id": 1002012788710981600,
"author_id": 620265976616714200,
"author_name": "linx",
"timestamp": "07/27/2022 20:41:05",
"content": "its a 1 month course",
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},
{
"id": 1002012812513648800,
"author_id": 620265976616714200,
"author_name": "linx",
"timestamp": "07/27/2022 20:41:11",
"content": "test every 3 days",
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},
{
"id": 1002012816661827600,
"author_id": 620265976616714200,
"author_name": "linx",
"timestamp": "07/27/2022 20:41:11",
"content": "new",
"attachments": [],
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"reference": null
},
{
"id": 1002012828410052600,
"author_id": 620265976616714200,
"author_name": "linx",
"timestamp": "07/27/2022 20:41:14",
"content": "im doing kinda dog",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002012847859052500,
"author_id": 620265976616714200,
"author_name": "linx",
"timestamp": "07/27/2022 20:41:19",
"content": "i messed up a test",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002012876472594400,
"author_id": 620265976616714200,
"author_name": "linx",
"timestamp": "07/27/2022 20:41:26",
"content": "yes i am going braindead",
"attachments": [],
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"reference": null
},
{
"id": 1002012966964703200,
"author_id": 620265976616714200,
"author_name": "linx",
"timestamp": "07/27/2022 20:41:47",
"content": "wtf",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002012973193240600,
"author_id": 620265976616714200,
"author_name": "linx",
"timestamp": "07/27/2022 20:41:49",
"content": "lucky",
"attachments": [],
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},
{
"id": 1002012993619501000,
"author_id": 620265976616714200,
"author_name": "linx",
"timestamp": "07/27/2022 20:41:54",
"content": "can u help me",
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},
{
"id": 1002013005371945100,
"author_id": 620265976616714200,
"author_name": "linx",
"timestamp": "07/27/2022 20:41:56",
"content": "with a q",
"attachments": [],
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"reference": null
},
{
"id": 1002013102604296200,
"author_id": 620265976616714200,
"author_name": "linx",
"timestamp": "07/27/2022 20:42:20",
"content": "https://media.discordapp.net/attachments/948303239705686069/1002010756172238958/IMG_6712.jpg",
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},
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"id": 1002013109193556100,
"author_id": 620265976616714200,
"author_name": "linx",
"timestamp": "07/27/2022 20:42:21",
"content": "12a",
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},
{
"id": 1002013387707920400,
"author_id": 620265976616714200,
"author_name": "linx",
"timestamp": "07/27/2022 20:43:28",
"content": "kk",
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"id": 1002013390165790700,
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"timestamp": "07/27/2022 20:43:28",
"content": "np",
"attachments": [],
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},
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"id": 1002018025240805400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 21:01:53",
"content": "@Deleted User Has your question been resolved?",
"attachments": [],
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"id": 1002019111309684700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 21:06:12",
"content": "Channel closed",
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}
] |
help-9
|
9b51c500214442a4b1a0b156cc661af7
|
197,473 |
[
{
"id": 1002019364163305600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 21:07:13",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002025713760731100,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:32:26",
"content": "\"in an isosceles right triangle abc, ab=bc. bc and ac are mirrors. a laser is pointed from point a to bc and hits it at point x. it then reflects to ac and hits it at point y before reflecting to point z, on ab. the ratio az/ab=1/25, what is the ratio ay/ac?\"",
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},
{
"id": 1002025716419936400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 21:32:27",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
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"id": 1002025725500596200,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:32:29",
"content": "",
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{
"id": 1002025731146133600,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:32:31",
"content": "work is here",
"attachments": [],
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},
{
"id": 1002025794417213400,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:32:46",
"content": "note that CBA'B' is a parallelogram",
"attachments": [],
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},
{
"id": 1002025911517978600,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:33:14",
"content": "there should be something involving similar triangles here but I'm not too sure",
"attachments": [],
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"reference": null
},
{
"id": 1002027938776092700,
"author_id": 875152164039823500,
"author_name": "123456789g",
"timestamp": "07/27/2022 21:41:17",
"content": "can i show me howto do it",
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"author_name": "123456789g",
"timestamp": "07/27/2022 21:41:49",
"content": "@RedJive",
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"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:42:31",
"content": "what",
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},
{
"id": 1002028705738129400,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:44:20",
"content": "what does htis eman",
"attachments": [],
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"id": 1002028968431603800,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/27/2022 21:45:22",
"content": "hey @123456789g please don't ask for help in other people's help channels",
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"id": 1002029103190397000,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/27/2022 21:45:55",
"content": "you already opened a help channel, please wait patiently there (remember that anyone helping you is a volunteer and that none of us have obligations to help)",
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},
{
"id": 1002029129887125600,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/27/2022 21:46:01",
"content": "for the rules, please see #❓how-to-get-help",
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},
{
"id": 1002029224443527300,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:46:23",
"content": "oh my god the channels just spasmed",
"attachments": [],
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},
{
"id": 1002029355368710100,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/27/2022 21:46:55",
"content": "also this is a wild problem lol",
"attachments": [],
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},
{
"id": 1002029364814282800,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/27/2022 21:46:57",
"content": "lasers 👀",
"attachments": [],
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"reference": null
},
{
"id": 1002029405822005200,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:47:07",
"content": "hell yeah",
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"id": 1002029427888230500,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:47:12",
"content": "ive been stuck on it for like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002029437577085000,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:47:14",
"content": "20 minutes",
"attachments": [],
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},
{
"id": 1002029455344156800,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:47:18",
"content": "and its",
"attachments": [],
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},
{
"id": 1002029462529003500,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:47:20",
"content": "elementary",
"attachments": [],
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},
{
"id": 1002029466199003300,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:47:21",
"content": "i think",
"attachments": [],
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},
{
"id": 1002029786840973400,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/27/2022 21:48:37",
"content": "hint: draw a more to scale diagram lol",
"attachments": [],
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"id": 1002029800103354400,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/27/2022 21:48:41",
"content": "for your own sanity",
"attachments": [],
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},
{
"id": 1002029817409052700,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/27/2022 21:48:45",
"content": "ABC is an isoceles right triangle",
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},
{
"id": 1002029916906328200,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/27/2022 21:49:09",
"content": "your diagram looks correct it's just...",
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},
{
"id": 1002029921549430800,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:49:10",
"content": "ITS A RIGHTT TRIAGNBLE",
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"id": 1002029925567574100,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:49:11",
"content": "????",
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},
{
"id": 1002029933054394500,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:49:12",
"content": "WHAT THE FRICK",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002029947277295600,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/27/2022 21:49:16",
"content": "LOL",
"attachments": [],
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},
{
"id": 1002029966701101200,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/27/2022 21:49:20",
"content": "did you not read what you posted HAHAHAHA",
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},
{
"id": 1002029981821575200,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:49:24",
"content": "OH GOD UR ACTAULING FURKCING ME RIGHT NOW",
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"reference": null
},
{
"id": 1002030003954913300,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/27/2022 21:49:29",
"content": "LOLLLLL sjd;lkja;lkjf",
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},
{
"id": 1002030005309685800,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:49:30",
"content": "THIS ISINT MY PROBLEM",
"attachments": [],
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],
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},
{
"id": 1002030028508385400,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:49:35",
"content": "SOMEONE SENT IT TO ME",
"attachments": [],
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"reference": null
},
{
"id": 1002030035508670600,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "07/27/2022 21:49:37",
"content": "that's actually hilarious",
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},
{
"id": 1002030050444578800,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:49:40",
"content": "IM GONNA FURCING",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002030061601435800,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:49:43",
"content": "I SWEAR TO GOJ",
"attachments": [],
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},
{
"id": 1002030074364702800,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:49:46",
"content": "see",
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},
{
"id": 1002030103225708500,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:49:53",
"content": "i would be an excellent mathematican",
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},
{
"id": 1002030113069732000,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:49:55",
"content": "if i could",
"attachments": [],
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},
{
"id": 1002030116651667500,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:49:56",
"content": "like",
"attachments": [],
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"reference": null
},
{
"id": 1002030124247564400,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:49:58",
"content": "*read*",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002030222096474200,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:50:21",
"content": "ok i'll brb",
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},
{
"id": 1002030331957883000,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:50:47",
"content": "oh",
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},
{
"id": 1002030342342979600,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:50:50",
"content": "youre actaully",
"attachments": [],
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"reference": null
},
{
"id": 1002030351444607000,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:50:52",
"content": "fricking with me rn",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002030361187991700,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:50:54",
"content": "i got it",
"attachments": [],
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},
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"id": 1002030364761534500,
"author_id": 699708215063216100,
"author_name": "RedJive",
"timestamp": "07/27/2022 21:50:55",
"content": ".close",
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},
{
"id": 1002030366804152300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 21:50:56",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
c6c7af5260724e5badf9b777b30c02c7
|
197,474 |
[
{
"id": 1002030619997507600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 21:51:56",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002036483231846400,
"author_id": 704243139116007600,
"author_name": "quevorak",
"timestamp": "07/27/2022 22:15:14",
"content": "Hi everyone! When writing out notation for matrices, is there a difference between $$\\sigma^{(\\text{mat})} \\quad \\text{and} \\quad \\sigma^\\text{mat} \\ ?$$\n\nLikewise, is there a difference between $$\\sigma_\\text{new} \\quad \\text{and} \\quad \\sigma_{\\left[ \\text{new} \\right]}\\ ?$$",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 22:15:15",
"content": "Pinned a message.",
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"id": 1002037010388754400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/27/2022 22:17:20",
"content": "**quevorak**",
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"timestamp": "07/27/2022 22:30:14",
"content": "@quevorak Has your question been resolved?",
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"id": 1002040590038466700,
"author_id": 704243139116007600,
"author_name": "quevorak",
"timestamp": "07/27/2022 22:31:33",
"content": "No, but I'm going to assume the \"[]\" are for bases.",
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},
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"id": 1002040603997122600,
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"timestamp": "07/27/2022 22:31:37",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
b528e7027e5b4f19b51643ac39cc8082
|
197,475 |
[
{
"id": 1002040856938815500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 22:32:37",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002043036353695700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 22:41:16",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1002043034550145200,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1002043315585294500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 22:42:23",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
6ad6f01f208945f6b83f467a65d03878
|
197,476 |
[
{
"id": 1002045560863326200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 22:51:18",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002047006971277400,
"author_id": 938223451850825700,
"author_name": "phi_psi",
"timestamp": "07/27/2022 22:57:03",
"content": "Is \n\\[\n\\forall x,y (Px \\land Py \\rightarrow x = y)\n\\]\n logically equivalent to \n\\[\n\\exists x \\boldsymbol(Px \\land \\forall y (Py \\rightarrow x = y)\\boldsymbol)?\n\\]\n Is one statement stronger than the other?",
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"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 22:57:03",
"content": "Pinned a message.",
"attachments": [],
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"id": 1002047404125716600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/27/2022 22:58:38",
"content": "**q5**",
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"author_name": "Mathematics Bot",
"timestamp": "07/27/2022 23:12:03",
"content": "@phi_psi Has your question been resolved?",
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"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "07/27/2022 23:21:13",
"content": "@phi_psi the first means 'at most one thing satisfies P', the second means 'exactly one thing satisfies P'",
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"timestamp": "07/27/2022 23:21:54",
"content": "the first is necessary but not sufficient for the latter",
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"timestamp": "07/27/2022 23:43:36",
"content": "@phi_psi Has your question been resolved?",
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"timestamp": "07/28/2022 00:13:36",
"content": "Channel closed",
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}
] |
help-9
|
307a1d8bb5a84b4bbc438203a3d56c37
|
197,477 |
[
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"id": 1002066523701129300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 00:14:36",
"content": "Available help channel!",
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},
{
"id": 1002069455133737000,
"author_id": 823037739749867500,
"author_name": "person2709505",
"timestamp": "07/28/2022 00:26:15",
"content": "I'm trying to prove $|a-b|<|b|\\Rightarrow \\textrm{sgn}(a)=\\textrm{sgn}(b)$ (actually, $|a-b|<r$ for any $r>0$ will do, but I assume this will be easiest). I know it's intuitively obvious, and I've tried breaking it up into cases and proof by contradiction",
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"timestamp": "07/28/2022 00:26:16",
"content": "Pinned a message.",
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"author_name": "TeXit",
"timestamp": "07/28/2022 00:27:35",
"content": "**person2709505**",
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"timestamp": "07/28/2022 00:41:15",
"content": "@person2709505 Has your question been resolved?",
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"timestamp": "07/28/2022 00:48:40",
"content": "@Helpers",
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"id": 1002075854760837100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "07/28/2022 00:51:41",
"content": "interesting problem",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "07/28/2022 00:51:54",
"content": "im not sure how to approach it",
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},
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"id": 1002075918073860100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "07/28/2022 00:51:56",
"content": "just trying stuff",
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},
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"id": 1002079248598696000,
"author_id": 683299579307098100,
"author_name": "kelvinchan9786",
"timestamp": "07/28/2022 01:05:10",
"content": "You can do prove by case.\nCase 1: a-b>0, b>0 AND |a-b|<|b|\nCase 2: a-b>0, b<0, AND |a-b|<|b|\nCase 3: a-b<0, b>0, AND |a-b|<|b|\nCase 4: a-b<0, b<0, AND |a-b|<|b|",
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"id": 1002079799361155100,
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"author_name": "person2709505",
"timestamp": "07/28/2022 01:07:21",
"content": "I *think* I already tried case 1 here, but I'll double check",
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"author_name": "kelvinchan9786",
"timestamp": "07/28/2022 01:08:54",
"content": "...I forgot cases that a-b=0, b=0, but they are similar",
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"author_name": "person2709505",
"timestamp": "07/28/2022 01:09:33",
"content": "Isnt case 4 and 2 impossible?",
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"timestamp": "07/28/2022 01:09:36",
"content": "Aren't*",
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"author_name": "kelvinchan9786",
"timestamp": "07/28/2022 01:11:14",
"content": "Case 4: a = -3, b=-2,\n|a-b|=1, |b|=2, |a-b|<|b|",
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"id": 1002080874122182800,
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"timestamp": "07/28/2022 01:11:38",
"content": "Oh sorry yeah",
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"id": 1002080960352899100,
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"author_name": "person2709505",
"timestamp": "07/28/2022 01:11:58",
"content": "But in case 1 for instance, a<2b is obvious",
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"timestamp": "07/28/2022 01:12:09",
"content": "Of course, this doesn't tell us anything",
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"author_id": 683299579307098100,
"author_name": "kelvinchan9786",
"timestamp": "07/28/2022 01:12:19",
"content": "Yes, cases 1 and 4 are immediately held (even no need to apply |a-b|<|b|)",
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"id": 1002081218659111000,
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"author_name": "person2709505",
"timestamp": "07/28/2022 01:13:00",
"content": "Oh wait",
"attachments": [],
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},
{
"id": 1002081278734127100,
"author_id": 823037739749867500,
"author_name": "person2709505",
"timestamp": "07/28/2022 01:13:14",
"content": "Yep I see that",
"attachments": [],
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},
{
"id": 1002081353799581800,
"author_id": 823037739749867500,
"author_name": "person2709505",
"timestamp": "07/28/2022 01:13:32",
"content": "Today is not my day lol",
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"author_id": 683299579307098100,
"author_name": "kelvinchan9786",
"timestamp": "07/28/2022 01:14:29",
"content": "Take case 2 as example:\na-b>0, b<0\ni.e. |a-b|=a-b, |b|=-b\ni.e. a-b<-b\nSee whether you can prove that sgn(a)=sgn(b) 😉",
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"timestamp": "07/28/2022 01:15:25",
"content": "Ok, I think I can take it from there. Thanks!",
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"author_name": "kelvinchan9786",
"timestamp": "07/28/2022 01:15:51",
"content": "Remember to include these two cases as well\nCase 5: |a-b|=0\nCase 6: b=0",
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"timestamp": "07/28/2022 01:15:56",
"content": "great",
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"id": 1002082008836612100,
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"timestamp": "07/28/2022 01:16:08",
"content": ".close",
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},
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"id": 1002082010292027500,
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"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 01:16:09",
"content": "Channel closed",
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] |
help-9
|
cbc8db8da73a414fbb42495ab01cda51
|
197,478 |
[
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"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 01:17:09",
"content": "Available help channel!",
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"id": 1002084027769041000,
"author_id": 485665875471630340,
"author_name": "ry",
"timestamp": "07/28/2022 01:24:10",
"content": "so this is a true/false question, im just having trouble imagining it. f(-4)=5 is a point? i just dont know how to picture it",
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"timestamp": "07/28/2022 01:24:10",
"content": "Pinned a message.",
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"id": 1002084779254091800,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "07/28/2022 01:27:09",
"content": "Do you understand the condition? What f(-4) = 5 means for f?",
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"id": 1002084858606137300,
"author_id": 485665875471630340,
"author_name": "ry",
"timestamp": "07/28/2022 01:27:28",
"content": "not really no",
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{
"id": 1002084901891342300,
"author_id": 485665875471630340,
"author_name": "ry",
"timestamp": "07/28/2022 01:27:38",
"content": "im just picturing a point at (-4, 5)",
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},
{
"id": 1002085115112996900,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "07/28/2022 01:28:29",
"content": ",w graph y = -x + 1 between -6 and -2",
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},
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/28/2022 01:28:40",
"content": "",
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"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "07/28/2022 01:29:05",
"content": "So that's an example of a function f, where f(-4) = 5",
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},
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"id": 1002085337461440600,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "07/28/2022 01:29:22",
"content": "This function *does* have an f'(-4)",
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},
{
"id": 1002085576817778700,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "07/28/2022 01:30:19",
"content": "Why don't all of them?",
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},
{
"id": 1002085690256916500,
"author_id": 485665875471630340,
"author_name": "ry",
"timestamp": "07/28/2022 01:30:46",
"content": "hmm",
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{
"id": 1002085847111311400,
"author_id": 485665875471630340,
"author_name": "ry",
"timestamp": "07/28/2022 01:31:23",
"content": "some functions wont have a constant line like that, they might be things like the absolute value of X",
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},
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"id": 1002085879029968900,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "07/28/2022 01:31:31",
"content": "Well said",
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},
{
"id": 1002085946449203200,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "07/28/2022 01:31:47",
"content": ",w graph |x+4| + 5",
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},
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"id": 1002085955974480000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/28/2022 01:31:49",
"content": "Results provided by WolframAlpha",
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},
{
"id": 1002086053378801700,
"author_id": 485665875471630340,
"author_name": "ry",
"timestamp": "07/28/2022 01:32:12",
"content": "ahh yes!",
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},
{
"id": 1002086079433822300,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "07/28/2022 01:32:19",
"content": "That's an f, that obeys f(-4) = 5, but does not have a derivative at x = -4",
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},
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"id": 1002086199864873000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "07/28/2022 01:32:47",
"content": "It has a cusp there",
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},
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"id": 1002086211806040000,
"author_id": 485665875471630340,
"author_name": "ry",
"timestamp": "07/28/2022 01:32:50",
"content": "since the derivative would have an open circle",
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},
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"id": 1002086216822440100,
"author_id": 485665875471630340,
"author_name": "ry",
"timestamp": "07/28/2022 01:32:51",
"content": "righttt",
"attachments": [],
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},
{
"id": 1002086243590480000,
"author_id": 485665875471630340,
"author_name": "ry",
"timestamp": "07/28/2022 01:32:58",
"content": "thank you so much. it helps a lot visually seeing it",
"attachments": [],
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},
{
"id": 1002086338876690600,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "07/28/2022 01:33:21",
"content": "Np, feel free to ask if you have anything else!",
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},
{
"id": 1002086411840790500,
"author_id": 485665875471630340,
"author_name": "ry",
"timestamp": "07/28/2022 01:33:38",
"content": ":D",
"attachments": [],
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},
{
"id": 1002086462839337000,
"author_id": 485665875471630340,
"author_name": "ry",
"timestamp": "07/28/2022 01:33:50",
"content": "ah yes",
"attachments": [],
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},
{
"id": 1002086674462945400,
"author_id": 485665875471630340,
"author_name": "ry",
"timestamp": "07/28/2022 01:34:41",
"content": "applying that same logic.. the derivative is not always <0 for the domain if it is for the original function?",
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"id": 1002086881237925900,
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"timestamp": "07/28/2022 01:35:30",
"content": "actually im not sure",
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"id": 1002087004521123800,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "07/28/2022 01:35:59",
"content": "Can you think of a function that is always beneath the y-axis, but is always increasing?",
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"id": 1002087091422892200,
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"author_name": "Kaynex",
"timestamp": "07/28/2022 01:36:20",
"content": "It might help to restrict the domain to something small",
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"id": 1002087157172809700,
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"timestamp": "07/28/2022 01:36:36",
"content": "hmm",
"attachments": [],
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},
{
"id": 1002087301800808400,
"author_id": 485665875471630340,
"author_name": "ry",
"timestamp": "07/28/2022 01:37:10",
"content": "well y=x can be restricted but it isnt always beneath the y axis",
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},
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"id": 1002088962569011200,
"author_id": 485665875471630340,
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"timestamp": "07/28/2022 01:43:46",
"content": "i cant think of anything else.. i feel like it always has to come above the y -axis",
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"timestamp": "07/28/2022 01:45:01",
"content": "It is for some domain",
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"timestamp": "07/28/2022 01:45:34",
"content": "Consider the function y = x over the domain (-2,-1).",
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"timestamp": "07/28/2022 01:45:46",
"content": ",w graph y = x between (-2,-1)",
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"timestamp": "07/28/2022 01:45:59",
"content": "ah",
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"timestamp": "07/28/2022 01:46:10",
"content": "Always increasing, always negative.",
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"author_name": "Kaynex",
"timestamp": "07/28/2022 01:46:27",
"content": "For a less trivial example,",
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"timestamp": "07/28/2022 01:46:52",
"content": ",w graph -1/x between (0, inf)",
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"timestamp": "07/28/2022 01:46:55",
"content": "Results provided by WolframAlpha",
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"author_name": "Kaynex",
"timestamp": "07/28/2022 01:47:15",
"content": "Weird it ignored me on the domain bit, haha",
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"timestamp": "07/28/2022 01:47:23",
"content": "heh",
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"timestamp": "07/28/2022 01:47:31",
"content": "But for (0, inf) that's always negative, and always increasing",
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"timestamp": "07/28/2022 01:47:50",
"content": "and even the derivative would be negative? i think im not 100% sure on how to find the derivative function from the graph. it would remain under the Y=axis?",
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"timestamp": "07/28/2022 01:48:36",
"content": "So the derivative at a point is the slope of the curve at that point",
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"timestamp": "07/28/2022 01:49:07",
"content": "Let's go back to the first example",
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"timestamp": "07/28/2022 01:49:10",
"content": "okay",
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"timestamp": "07/28/2022 01:49:13",
"content": ",w graph y = x between (-2,-1)",
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"timestamp": "07/28/2022 01:49:32",
"content": "The function is negative everywhere on the domain",
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"timestamp": "07/28/2022 01:49:42",
"content": "so no matter the slope it will be negative",
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"timestamp": "07/28/2022 01:49:53",
"content": "But because the slope is positive, the derivative is positive",
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"id": 1002090518534172700,
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"timestamp": "07/28/2022 01:49:57",
"content": "oh no.",
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"author_name": "Kaynex",
"timestamp": "07/28/2022 01:50:14",
"content": "So the derivative is positive everywhere, even though the function is negative everywhere",
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"id": 1002090691490488300,
"author_id": 485665875471630340,
"author_name": "ry",
"timestamp": "07/28/2022 01:50:38",
"content": "oh that makes sense im slow. since its increasing",
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"id": 1002090793290440700,
"author_id": 485665875471630340,
"author_name": "ry",
"timestamp": "07/28/2022 01:51:03",
"content": "then the derivative will have values greater than 0 not less than",
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"id": 1002090839067074600,
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"author_name": "ry",
"timestamp": "07/28/2022 01:51:13",
"content": "using that line",
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"id": 1002090910839996400,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "07/28/2022 01:51:31",
"content": "And so the picture is false",
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},
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"id": 1002090951768014800,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "07/28/2022 01:51:40",
"content": "Your picture, I mean",
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},
{
"id": 1002091270736449500,
"author_id": 485665875471630340,
"author_name": "ry",
"timestamp": "07/28/2022 01:52:56",
"content": "yes! those were the only things i was confused about",
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{
"id": 1002091288235081900,
"author_id": 485665875471630340,
"author_name": "ry",
"timestamp": "07/28/2022 01:53:01",
"content": "thanks a bunch for your help",
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},
{
"id": 1002091347391545300,
"author_id": 485665875471630340,
"author_name": "ry",
"timestamp": "07/28/2022 01:53:15",
"content": "gonna find some other equations to see if i fully get it",
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},
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"id": 1002092131114029000,
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"author_name": "ry",
"timestamp": "07/28/2022 01:56:22",
"content": ".close",
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"id": 1002092132833697800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 01:56:22",
"content": "Channel closed",
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}
] |
help-9
|
afcae828ac4041ae8174fb3936860273
|
197,479 |
[
{
"id": 1002092385473400800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 01:57:22",
"content": "Available help channel!",
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},
{
"id": 1002093570766946400,
"author_id": 518716603928543200,
"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "07/28/2022 02:02:05",
"content": "PROOF THAT ALL THE ANGLES ROUND A POINT IS EQUAL TO 360°\n\n how to do it I can't understand but the question is very simple",
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},
{
"id": 1002093572792799400,
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"timestamp": "07/28/2022 02:02:05",
"content": "Pinned a message.",
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"author_id": 767361250094219300,
"author_name": "Fareel",
"timestamp": "07/28/2022 02:09:00",
"content": "idk how to prove it but, well suppose there is a line that goes through that point. we know that a straight line has a total angle of 180°. so we have 2 \"angles of a straight line\" which add up to 360°",
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"timestamp": "07/28/2022 02:17:05",
"content": "@𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛 Has your question been resolved?",
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"timestamp": "07/28/2022 02:30:29",
"content": "What can you use",
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"id": 1002100904364875800,
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"timestamp": "07/28/2022 02:31:13",
"content": "Cos it doesn’t make too much sense",
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"id": 1002100995125428200,
"author_id": 244390699431100400,
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"timestamp": "07/28/2022 02:31:35",
"content": "Usually we say let’s assume a point has 360 degrees then we build everything else from it",
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"author_id": 244390699431100400,
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"timestamp": "07/28/2022 02:31:41",
"content": "It doesn’t even have to be 360",
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},
{
"id": 1002101117745893400,
"author_id": 244390699431100400,
"author_name": "Frosst",
"timestamp": "07/28/2022 02:32:04",
"content": "If a point has 720 of a new degree I’m now calling",
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"timestamp": "07/28/2022 02:32:05",
"content": "Channel closed",
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}
] |
help-9
|
7d81a0d7963b4cc8ac8d4c237044ec15
|
197,480 |
[
{
"id": 1002120201795539100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 03:47:54",
"content": "Available help channel!",
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},
{
"id": 1002124176569663500,
"author_id": 459172761013846000,
"author_name": "⃟⃝",
"timestamp": "07/28/2022 04:03:42",
"content": "How do I go about solving this rational equation for #1",
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"content": "Pinned a message.",
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"author_id": 459172761013846000,
"author_name": "⃟⃝",
"timestamp": "07/28/2022 04:04:16",
"content": "i know i have to get everything out of fraction form right?",
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"id": 1002124335496048600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/28/2022 04:04:20",
"content": "multiply through by the obvious common denominator",
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{
"id": 1002124388293955700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/28/2022 04:04:32",
"content": "you don't \"have to\" do anything but doing it will make your life easier",
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{
"id": 1002126159686946800,
"author_id": 459172761013846000,
"author_name": "⃟⃝",
"timestamp": "07/28/2022 04:11:35",
"content": "Alright then I got this but it’s wrong",
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"id": 1002126324351111300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/28/2022 04:12:14",
"content": "yes, very.",
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},
{
"id": 1002126337504448600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/28/2022 04:12:17",
"content": "on multiple accounts. your work is littered with algebraic mistakes, and it would take too long (and also be pointless) to comment on each one individually.",
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},
{
"id": 1002126340172038100,
"author_id": 875152164039823500,
"author_name": "123456789g",
"timestamp": "07/28/2022 04:12:18",
"content": "ann could i dm u for help",
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},
{
"id": 1002126382949744600,
"author_id": 459172761013846000,
"author_name": "⃟⃝",
"timestamp": "07/28/2022 04:12:28",
"content": "🫤",
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},
{
"id": 1002126403225010200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/28/2022 04:12:33",
"content": "1/(x^2+4x) * (x^2+4x) is not x^2+4x, it's 1",
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},
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"id": 1002126480349855700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/28/2022 04:12:51",
"content": "also missing parentheses on the left",
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"id": 1002126490000949200,
"author_id": 875152164039823500,
"author_name": "123456789g",
"timestamp": "07/28/2022 04:12:53",
"content": "then can u help channel 8",
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},
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"id": 1002126643541844000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/28/2022 04:13:30",
"content": "what you should have had @⃟⃝ is:\n\n(x^2+4x)/(x+4) = 1 + (5x - 6)",
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"id": 1002127290643263600,
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"timestamp": "07/28/2022 04:16:04",
"content": "which rewrites into x = 5x - 5",
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"id": 1002127636673351700,
"author_id": 459172761013846000,
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"timestamp": "07/28/2022 04:17:27",
"content": "X=5/4",
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},
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"id": 1002128285142089700,
"author_id": 459172761013846000,
"author_name": "⃟⃝",
"timestamp": "07/28/2022 04:20:01",
"content": "Oh gosh. I see everything now",
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},
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"id": 1002128315714392000,
"author_id": 459172761013846000,
"author_name": "⃟⃝",
"timestamp": "07/28/2022 04:20:09",
"content": "Thank you",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 04:35:09",
"content": "@⃟⃝ Has your question been resolved?",
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"timestamp": "07/28/2022 04:50:09",
"content": "Channel closed",
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}
] |
help-9
|
f0fbc240ccd846ea93cae15cea706510
|
197,481 |
[
{
"id": 1002143294953898100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 05:19:40",
"content": "Available help channel!",
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},
{
"id": 1002146107238924300,
"author_id": 202387743504990200,
"author_name": "Kin",
"timestamp": "07/28/2022 05:30:50",
"content": "what is this \"U\"X and \"N\"X means? thank you.",
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"id": 1002146109478666200,
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"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 05:30:51",
"content": "Pinned a message.",
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{
"id": 1002146884032397300,
"author_id": 227959655215792130,
"author_name": "Daley",
"timestamp": "07/28/2022 05:33:56",
"content": "It would be greatest and least elements right?",
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},
{
"id": 1002148840482279400,
"author_id": 210044408756699140,
"author_name": "WulfZono",
"timestamp": "07/28/2022 05:41:42",
"content": "pretty sure U is the notation for union and N is the notation for intersection",
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{
"id": 1002149020594081800,
"author_id": 227959655215792130,
"author_name": "Daley",
"timestamp": "07/28/2022 05:42:25",
"content": "Those are curved",
"attachments": [],
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},
{
"id": 1002149061492756500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/28/2022 05:42:35",
"content": "$\\bigcup$ and $\\bigcap$ are union and intersection",
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"reference": null
},
{
"id": 1002149102097797100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/28/2022 05:42:44",
"content": "**Denascite**",
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{
"id": 1002149206582120600,
"author_id": 227959655215792130,
"author_name": "Daley",
"timestamp": "07/28/2022 05:43:09",
"content": "I'm wrong too though",
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},
{
"id": 1002149212454133800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/28/2022 05:43:11",
"content": "in context they probably mean greatest and least element, yeah",
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},
{
"id": 1002149322663669800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/28/2022 05:43:37",
"content": "join and meet",
"attachments": [],
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},
{
"id": 1002149342888595500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/28/2022 05:43:42",
"content": "in order-theoretic terms",
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},
{
"id": 1002149428456587300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/28/2022 05:44:02",
"content": "ah yes thanks",
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},
{
"id": 1002149590109262000,
"author_id": 227959655215792130,
"author_name": "Daley",
"timestamp": "07/28/2022 05:44:41",
"content": "Yeah, it was also saying least upper bound and greatest lower bound which is the same thing yeah?",
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},
{
"id": 1002149837283786900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/28/2022 05:45:40",
"content": "sure",
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},
{
"id": 1002151096833282000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 05:50:40",
"content": "@Kin Has your question been resolved?",
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"id": 1002151287418273900,
"author_id": 202387743504990200,
"author_name": "Kin",
"timestamp": "07/28/2022 05:51:25",
"content": "thank you!",
"attachments": [],
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"name": "Ann",
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"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 05:51:27",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
b186e62de2c3428dbe33208638ba34d5
|
197,482 |
[
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"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 21:07:42",
"content": "Available help channel!",
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},
{
"id": 959257964303220900,
"author_id": 673269524329529500,
"author_name": "Muzza",
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"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 21:08:41",
"content": "Pinned a message.",
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"author_id": 673269524329529500,
"author_name": "Muzza",
"timestamp": "03/31/2022 21:08:47",
"content": "Don’t know how to do q2 at all",
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},
{
"id": 959261769459695600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 21:23:48",
"content": "@Muzza Has your question been resolved?",
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"timestamp": "03/31/2022 21:33:54",
"content": "@Helpers",
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{
"id": 959271863916314800,
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"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 22:03:54",
"content": "@Muzza Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
94e6feb97f1e4107a22cfbaaa76dfa11
|
197,483 |
[
{
"id": 1002162807011283100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 06:37:12",
"content": "Available help channel!",
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},
{
"id": 1002170209379033200,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/28/2022 07:06:37",
"content": "how to prove this?",
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"id": 1002170211782361100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 07:06:37",
"content": "Pinned a message.",
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"id": 1002170483019616400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/28/2022 07:07:42",
"content": "expand right-hand side",
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"id": 1002170533556797600,
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"author_name": "Ann",
"timestamp": "07/28/2022 07:07:54",
"content": "(x-y)(x+y) = x^2 + xy - yx - y^2",
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"id": 1002170562526847100,
"author_id": 801338293241118700,
"author_name": "Atomic",
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"content": "",
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"id": 1002170564049383400,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/28/2022 07:08:01",
"content": "thats it?",
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},
{
"id": 1002170601886208000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/28/2022 07:08:10",
"content": "yes",
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},
{
"id": 1002170625357521000,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/28/2022 07:08:16",
"content": "ow",
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},
{
"id": 1002170674401521700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/28/2022 07:08:28",
"content": "though it must be noted of course that cancelling out xy with yx relies on the commutative law of multiplication",
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},
{
"id": 1002170803212779500,
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"author_name": "Atomic",
"timestamp": "07/28/2022 07:08:58",
"content": "ow",
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},
{
"id": 1002170862130188300,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/28/2022 07:09:12",
"content": "xy = yx?",
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},
{
"id": 1002170878949335000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/28/2022 07:09:16",
"content": "yes",
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},
{
"id": 1002170939577991300,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/28/2022 07:09:31",
"content": "do i just plug in random integers to prove it?",
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},
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"id": 1002170957651247100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/28/2022 07:09:35",
"content": "no",
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},
{
"id": 1002170993604841500,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/28/2022 07:09:44",
"content": "how do i prove xy = yx",
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},
{
"id": 1002171034880979000,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/28/2022 07:09:54",
"content": "i know its true but how do i prove it",
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},
{
"id": 1002171120130207700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/28/2022 07:10:14",
"content": "you're gonna need to clarify what set x and y come from and exactly how multiplication is defined",
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},
{
"id": 1002171158164160600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/28/2022 07:10:23",
"content": "which at your level is not likely to be something you've cared about",
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},
{
"id": 1002171211339550700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/28/2022 07:10:36",
"content": "and so the commutative law of multiplication is something you take as an axiom",
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{
"id": 1002171241366573000,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "07/28/2022 07:10:43",
"content": "ok",
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"id": 1002175017490055200,
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"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 07:25:43",
"content": "@Atomic Has your question been resolved?",
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"timestamp": "07/28/2022 07:40:43",
"content": "Channel closed",
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}
] |
help-9
|
b270dcc48cab467782ef1478dfee0560
|
197,484 |
[
{
"id": 1002179045892567200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 07:41:44",
"content": "Available help channel!",
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},
{
"id": 1002181726627451000,
"author_id": 560241701612945400,
"author_name": "HellO",
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"id": 1002181729106272300,
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"timestamp": "07/28/2022 07:52:23",
"content": "Pinned a message.",
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"id": 1002181777512730600,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "07/28/2022 07:52:35",
"content": "Hi, can someone tell me how does part ii make sense?",
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},
{
"id": 1002181823364878300,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "07/28/2022 07:52:46",
"content": "How can a graph C have two tangents at x = 1",
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},
{
"id": 1002182007427694700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/28/2022 07:53:30",
"content": "the graph has two points with x-coordinate 1, and a tangent at each",
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},
{
"id": 1002182083218784300,
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"timestamp": "07/28/2022 07:53:48",
"content": "er wait but how does a graph",
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},
{
"id": 1002182088813989900,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "07/28/2022 07:53:49",
"content": "oh wait",
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{
"id": 1002182093880705200,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "07/28/2022 07:53:50",
"content": "a circle",
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},
{
"id": 1002182099719168000,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "07/28/2022 07:53:52",
"content": "OH",
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},
{
"id": 1002182111169618000,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "07/28/2022 07:53:54",
"content": "oh or that",
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},
{
"id": 1002182121697329200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/28/2022 07:53:57",
"content": "it's not the graph of a function",
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},
{
"id": 1002182162449170600,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "07/28/2022 07:54:07",
"content": "ohh",
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},
{
"id": 1002182173060776000,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "07/28/2022 07:54:09",
"content": "okay i see",
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},
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"id": 1002182179352215700,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "07/28/2022 07:54:11",
"content": "thankss",
"attachments": [],
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},
{
"id": 1002182198876709000,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "07/28/2022 07:54:15",
"content": ":sadcatthumbsup:",
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"id": 1002182209362477200,
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"timestamp": "07/28/2022 07:54:18",
"content": ".close",
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{
"id": 1002182211119878100,
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"timestamp": "07/28/2022 07:54:18",
"content": "Channel closed",
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}
] |
help-9
|
993745002b3f4e218fc115e6d41da4e1
|
197,485 |
[
{
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"timestamp": "07/28/2022 08:02:25",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"author_name": "Moamen",
"timestamp": "07/28/2022 08:21:05",
"content": "m(E intersect (a,b)) >= epi*m(a,b))",
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"timestamp": "07/28/2022 08:21:12",
"content": "add m(E - (a,b)) to both sides",
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"timestamp": "07/28/2022 08:21:27",
"content": "m(E intersect (a,b)) +m(E-(a,b)) >= epi*m(a,b)+m(E-(a,b))",
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"author_name": "Moamen",
"timestamp": "07/28/2022 08:21:41",
"content": "m(E intersect (a,b)) +m(E-(a,b)) = m(a,b)) [ as E is measurable ]",
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"author_name": "Moamen",
"timestamp": "07/28/2022 08:21:58",
"content": "m(E-(a,b)) = m(E)-m(a,b) [ as E is measurable ]",
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"timestamp": "07/28/2022 08:21:58",
"content": "so",
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"id": 1002189551894278100,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 08:23:28",
"content": "m(a,b)>= epi*m(a,b)-m(a,b)+m(E)",
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"id": 1002189606252458000,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 08:23:41",
"content": "(2-epi)(b-a)>=m(E)",
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"id": 1002189614188089500,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 08:23:43",
"content": "now im stuck",
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"id": 1002189619359654000,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 08:23:45",
"content": "what do i do",
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"id": 1002190839398797400,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 08:28:35",
"content": "at the interval (0,1) m(E) <= 2-epi",
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"author_name": "Moamen",
"timestamp": "07/28/2022 08:31:42",
"content": "as the intervals get smaller and smaller m(E) just goes to 0",
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"timestamp": "07/28/2022 08:31:46",
"content": "how is it 1",
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"id": 1002191639508422700,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 08:31:46",
"content": "lmao",
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"id": 1002193487724281900,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 08:39:07",
"content": "@Helpers",
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},
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"id": 1002197263776493600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 08:54:07",
"content": "@Moamen Has your question been resolved?",
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"author_name": "Moamen",
"timestamp": "07/28/2022 08:54:20",
"content": "no bro",
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"author_name": "Alexandre",
"timestamp": "07/28/2022 09:01:19",
"content": "@Moamen what you note E-(a,b) is in fact E - E inter (à,b) so m(E-(a,b))=m(E)-m(E inter (a,b)) and the LHS is m(E) not m(a,b)",
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"id": 1002199150345076700,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 09:01:37",
"content": "what",
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"id": 1002199234105319600,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 09:01:57",
"content": "u mean m?",
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"id": 1002199439257112700,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 09:02:46",
"content": "isnt m(A-B) = m(A)-m(B)",
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"author_name": "Alexandre",
"timestamp": "07/28/2022 09:02:55",
"content": "m(E - (a,b))+m(E inter (a,b))=m(E)",
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"id": 1002199550062244000,
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"author_name": "Alexandre",
"timestamp": "07/28/2022 09:03:12",
"content": "If B is included in A yes",
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"author_name": "Alexandre",
"timestamp": "07/28/2022 09:04:20",
"content": "But it makes no sense if B is not included in A (taking B which contains A you could even find a negative measure with your formula since we would have m(B) >= m(A))",
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"author_name": "Moamen",
"timestamp": "07/28/2022 09:04:52",
"content": "yeaa",
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"id": 1002199972650954800,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 09:04:53",
"content": "fuck",
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"id": 1002199979164704900,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 09:04:55",
"content": "i missed this",
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"id": 1002199991097507800,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 09:04:57",
"content": "ur right",
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"id": 1002200004666077200,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 09:05:01",
"content": "thank you so much",
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},
{
"id": 1002200006784200700,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 09:05:01",
"content": "my bad",
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"id": 1002200124602191900,
"author_id": 342686622615339000,
"author_name": "Alexandre",
"timestamp": "07/28/2022 09:05:29",
"content": "And you have well established this formula",
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"id": 1002200169498030200,
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"author_name": "Alexandre",
"timestamp": "07/28/2022 09:05:40",
"content": "But you made a typo on this message",
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"id": 1002200208773484700,
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"timestamp": "07/28/2022 09:05:49",
"content": ".",
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"id": 1002200289153138700,
"author_id": 342686622615339000,
"author_name": "Alexandre",
"timestamp": "07/28/2022 09:06:08",
"content": "The LHS is m(E) not m(a,b)",
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"id": 1002200339019219000,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 09:06:20",
"content": "why",
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},
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"id": 1002200430375354500,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 09:06:42",
"content": "doesnt it follow from the definition of measurablity",
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"id": 1002200435098124300,
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"author_name": "Alexandre",
"timestamp": "07/28/2022 09:06:43",
"content": "Because of that",
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"id": 1002200443574820900,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 09:06:45",
"content": "as (a,b) is a subset",
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"id": 1002200669836554400,
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"author_name": "Moamen",
"timestamp": "07/28/2022 09:07:39",
"content": "",
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"id": 1002200681563824100,
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"author_name": "Moamen",
"timestamp": "07/28/2022 09:07:42",
"content": "okay so",
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"id": 1002200699318317200,
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"author_name": "Moamen",
"timestamp": "07/28/2022 09:07:46",
"content": "you let A = E here",
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"id": 1002200703843967000,
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"author_name": "Moamen",
"timestamp": "07/28/2022 09:07:47",
"content": "right?",
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{
"id": 1002200749947748400,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 09:07:58",
"content": "and (a,b) is the E in the definition i posted",
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"id": 1002200754234339500,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 09:07:59",
"content": "rihgt?",
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"id": 1002200759728873500,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 09:08:01",
"content": "yea okay",
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"id": 1002201252693811200,
"author_id": 342686622615339000,
"author_name": "Alexandre",
"timestamp": "07/28/2022 09:09:58",
"content": "Hm",
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},
{
"id": 1002201311355342800,
"author_id": 342686622615339000,
"author_name": "Alexandre",
"timestamp": "07/28/2022 09:10:12",
"content": "What is A tild E ?",
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},
{
"id": 1002201823647629400,
"author_id": 342686622615339000,
"author_name": "Alexandre",
"timestamp": "07/28/2022 09:12:14",
"content": "Yes",
"attachments": [],
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{
"id": 1002201849564238000,
"author_id": 342686622615339000,
"author_name": "Alexandre",
"timestamp": "07/28/2022 09:12:20",
"content": "Yes",
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},
{
"id": 1002201861211816000,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 09:12:23",
"content": "A-E",
"attachments": [],
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"id": 1002201863325765800,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 09:12:24",
"content": "okay",
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},
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"id": 1002201865129295900,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 09:12:24",
"content": "got it",
"attachments": [],
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},
{
"id": 1002201871391412400,
"author_id": 342686622615339000,
"author_name": "Alexandre",
"timestamp": "07/28/2022 09:12:26",
"content": "OK thats it",
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},
{
"id": 1002201872586788900,
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"author_name": "Moamen",
"timestamp": "07/28/2022 09:12:26",
"content": "thank you so much",
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},
{
"id": 1002201897177989100,
"author_id": 342686622615339000,
"author_name": "Alexandre",
"timestamp": "07/28/2022 09:12:32",
"content": "Good luck",
"attachments": [],
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},
{
"id": 1002201909203062900,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 09:12:35",
"content": "ty",
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},
{
"id": 1002201919944663000,
"author_id": 841541575447674900,
"author_name": "Moamen",
"timestamp": "07/28/2022 09:12:37",
"content": "boss",
"attachments": [],
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},
{
"id": 1002209470740443100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 09:42:37",
"content": "@Moamen Has your question been resolved?",
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},
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"id": 1002209551975723100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 09:42:57",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
31aedc262c9f4e6495226207167232d7
|
197,486 |
[
{
"id": 1002209805164875800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 09:43:57",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002217503835033600,
"author_id": 424934449734615100,
"author_name": "Aayush12",
"timestamp": "07/28/2022 10:14:33",
"content": "if sin theta +cos theta=x find sec theta",
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"reference": null
},
{
"id": 1002217506271924500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 10:14:33",
"content": "Pinned a message.",
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"id": 1002217524320030700,
"author_id": 424934449734615100,
"author_name": "Aayush12",
"timestamp": "07/28/2022 10:14:38",
"content": "pls help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002217567831724000,
"author_id": 424934449734615100,
"author_name": "Aayush12",
"timestamp": "07/28/2022 10:14:48",
"content": "factored out sin",
"attachments": [],
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},
{
"id": 1002217906265935900,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "07/28/2022 10:16:09",
"content": "(sin inverse (x/root2)) - pi/4",
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},
{
"id": 1002218066228301800,
"author_id": 424934449734615100,
"author_name": "Aayush12",
"timestamp": "07/28/2022 10:16:47",
"content": "thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002218081810120700,
"author_id": 424934449734615100,
"author_name": "Aayush12",
"timestamp": "07/28/2022 10:16:51",
"content": ".close",
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},
{
"id": 1002218083848560600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 10:16:51",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
4b91aeeeadff4b3b982a15fefdb2d48b
|
197,487 |
[
{
"id": 1002220029770727600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 10:24:35",
"content": "Available help channel!",
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},
{
"id": 1002225982578634900,
"author_id": 490533007707602940,
"author_name": "yousefmpv",
"timestamp": "07/28/2022 10:48:14",
"content": "Linear Algebra: does A - t A = O ?",
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"timestamp": "07/28/2022 10:48:15",
"content": "Pinned a message.",
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"content": "huh?",
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"timestamp": "07/28/2022 10:48:43",
"content": "can I get he full thing there?",
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"timestamp": "07/28/2022 10:48:59",
"content": "okay",
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"author_name": "yousefmpv",
"timestamp": "07/28/2022 10:49:57",
"content": "basically the original matrix - the transpose matrix? does it equal O ?",
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"timestamp": "07/28/2022 10:50:10",
"content": "ahh ic what you mean, and in this case it can, since the matrix is symmetric",
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"timestamp": "07/28/2022 10:50:24",
"content": "it only =0 IF the matrix is symmetrical",
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"timestamp": "07/28/2022 10:50:58",
"content": "so that if you find the difference between them, it's 0",
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"timestamp": "07/28/2022 10:52:43",
"content": "well if we have a 3 x 3 matrix called A. Let's say a12 is 4 and a21 is 2. If we were to get the transpose that means that a12 is 2. So 4 - 2 = 2 which is not 0.",
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"content": "do you get me?",
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"timestamp": "07/28/2022 10:53:21",
"content": "not all matrices are symmetric indeed",
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"timestamp": "07/28/2022 10:53:22",
"content": "symmetric I mean this.",
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"content": ":this:",
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"timestamp": "07/28/2022 10:53:48",
"content": "if you take any A, it doesn't have to be the case that A^t = A",
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"timestamp": "07/28/2022 10:54:06",
"content": "but if A^t = A we call the matrix A symmetric",
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"timestamp": "07/28/2022 10:54:08",
"content": "even if it's a square matrix",
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"timestamp": "07/28/2022 10:54:15",
"content": "A^t=A just mean A is symmetric",
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"timestamp": "07/28/2022 10:54:25",
"content": "that's how it can be symmetric",
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"timestamp": "07/28/2022 10:55:16",
"content": "where do they say A^t=A tbh ?",
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"timestamp": "07/28/2022 10:55:22",
"content": "idk,",
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"timestamp": "07/28/2022 10:55:22",
"content": "ohhhh, i got it",
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"author_name": "aPlatypus",
"timestamp": "07/28/2022 10:55:26",
"content": "what's the context of this statement in your text ?",
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"timestamp": "07/28/2022 10:56:22",
"content": "no worries, I was just wondering the case when A - A^t = O",
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"timestamp": "07/28/2022 10:56:49",
"content": "thank you everyone",
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"author_name": "yousefmpv",
"timestamp": "07/28/2022 10:57:18",
"content": "i'll close now",
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"author_name": "yousefmpv",
"timestamp": "07/28/2022 10:57:20",
"content": ".close",
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},
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"id": 1002228273411014700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 10:57:20",
"content": "Channel closed",
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}
] |
help-9
|
a47812a899af4d9da524dafc2afbf3b4
|
197,488 |
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"id": 1002228526977650700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 10:58:21",
"content": "Available help channel!",
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},
{
"id": 1002230764471066600,
"author_id": 109741402551820290,
"author_name": "dojj",
"timestamp": "07/28/2022 11:07:14",
"content": "Hi I have a quick algebra question, if I exp() both sides of an equation e.g. 3lnx - 0.02x = 4lny + 0.004y : doee the negative term -0.02x equal e^-0.02x or -e^-0.02x or -e^0.02x?",
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"timestamp": "07/28/2022 11:07:15",
"content": "Pinned a message.",
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"id": 1002231173398937600,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/28/2022 11:08:52",
"content": "e^(a - b) = e^a * e^(-b)",
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"id": 1002231973361766400,
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"author_name": "dojj",
"timestamp": "07/28/2022 11:12:03",
"content": "is that still the case here though? because the answer would be x^3 so its a differentbase",
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"timestamp": "07/28/2022 11:13:07",
"content": "a^(b - c) = (a^b)(a^(-c)). This is irrelevant of the base, it's a property of exponents. a^(b + c) = a^b * a^c, and a^(b - c) = a^(b + (-c))",
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"id": 1002232363096494200,
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"timestamp": "07/28/2022 11:13:35",
"content": "Thank you!",
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},
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"id": 1002232387398283300,
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"timestamp": "07/28/2022 11:13:41",
"content": ".close",
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"timestamp": "07/28/2022 11:13:42",
"content": "Channel closed",
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] |
help-9
|
0bba71f81f36486a9de2cb2b63ac122e
|
197,489 |
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"content": "Available help channel!",
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"id": 1002236063613468800,
"author_id": 793573400006099000,
"author_name": "CaliforniaRoll",
"timestamp": "07/28/2022 11:28:18",
"content": "is AD/AB = AD/DB?",
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"content": "Pinned a message.",
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"author_name": "CaliforniaRoll",
"timestamp": "07/28/2022 11:28:32",
"content": "This is a proportionality question",
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"timestamp": "07/28/2022 11:29:25",
"content": "ofc not",
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"timestamp": "07/28/2022 11:29:41",
"content": "DB is not equal to AB",
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"timestamp": "07/28/2022 11:30:42",
"content": "no",
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"author_name": "CaliforniaRoll",
"timestamp": "07/28/2022 11:32:25",
"content": "AD/AB=AE/AC?",
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"timestamp": "07/28/2022 11:32:35",
"content": "yes.",
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"timestamp": "07/28/2022 11:32:39",
"content": "That's correct",
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"id": 1002237203302326300,
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"author_name": "CaliforniaRoll",
"timestamp": "07/28/2022 11:32:49",
"content": "and DE/BC=?",
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"author_id": 702491873021001900,
"author_name": "sloppymope",
"timestamp": "07/28/2022 11:33:05",
"content": "DE/BC=AD/AB=AE/AC",
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"author_id": 793573400006099000,
"author_name": "CaliforniaRoll",
"timestamp": "07/28/2022 11:33:33",
"content": "can you clarify all the proportionalities in this triangle?",
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"timestamp": "07/28/2022 11:34:23",
"content": "You can figure them out since ADE and ABC are similar triangles.",
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"timestamp": "07/28/2022 11:35:46",
"content": "Ok thx",
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"id": 1002238134509125600,
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"author_name": "CaliforniaRoll",
"timestamp": "07/28/2022 11:36:31",
"content": "for Q3b 2) is HK/GJ equal to the answer because they share the same height ( blue line )",
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"timestamp": "07/28/2022 11:43:08",
"content": "@sloppymope do you mind having a look at this?",
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"content": ",rotate",
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"timestamp": "07/28/2022 11:49:25",
"content": "I really can't find it",
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"timestamp": "07/28/2022 11:58:08",
"content": "@CaliforniaRoll Has your question been resolved?",
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"timestamp": "07/28/2022 12:04:02",
"content": "What can't you find?",
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"timestamp": "07/28/2022 12:15:31",
"content": "@Helpers",
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{
"id": 1002251244020170800,
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"timestamp": "07/28/2022 12:28:37",
"content": "@Helpers",
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"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/28/2022 12:29:32",
"content": "!15min",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 12:29:33",
"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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"id": 1002258299321856100,
"author_id": 361324748359335940,
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"timestamp": "07/28/2022 12:56:39",
"content": "what do you need help with",
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"timestamp": "07/28/2022 13:03:03",
"content": "@Karter",
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"timestamp": "07/28/2022 13:03:13",
"content": "yea?",
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"timestamp": "07/28/2022 13:03:25",
"content": "for Q3b 2) is HK/GJ equal to the answer because they share the same height ( blue line )",
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"timestamp": "07/28/2022 13:04:08",
"content": "I think actually n because HK would have to be parallel to GJ to be considered valid bases for the triangle?",
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"timestamp": "07/28/2022 13:04:58",
"content": "This might be a stupid question but just to clarify when we look at the base of a triangle to make calculations such as area, the base has to be perpendicular to the height?",
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"content": "I'm guessing J is the vertex cut off by the image",
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"timestamp": "07/28/2022 13:05:21",
"content": "oh yes my bad",
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"timestamp": "07/28/2022 13:05:37",
"content": "Yes it has to be a right triangle",
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"timestamp": "07/28/2022 13:06:35",
"content": "So similarly here HK and GJ need to be parallel to be considered bases?",
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"timestamp": "07/28/2022 13:07:06",
"content": "btw this is the triangle proportionality theorem with regards to area",
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"timestamp": "07/28/2022 13:09:19",
"content": "so did you find out part a?",
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"timestamp": "07/28/2022 13:16:19",
"content": "uhh yes but I'm just asking generally like",
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"timestamp": "07/28/2022 13:16:35",
"content": "is this statement correct \nQ3b 2) is HK/GJ equal to the answer because they share the same height ( blue line )",
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"timestamp": "07/28/2022 13:46:36",
"content": "@CaliforniaRoll Has your question been resolved?",
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"author_name": "sloppymope",
"timestamp": "07/28/2022 13:58:03",
"content": "You mean both triangles share the same height?",
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"timestamp": "07/28/2022 13:59:14",
"content": "Triangles FHK and FGJ don't share a height I'm pretty sure",
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"timestamp": "07/28/2022 14:11:38",
"content": "blue line",
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"timestamp": "07/28/2022 14:16:36",
"content": "Channel closed",
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] |
help-9
|
9f6236824b0c44e89860997aa1a556c3
|
197,490 |
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"timestamp": "07/28/2022 14:17:36",
"content": "Available help channel!",
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"id": 1002285160647098500,
"author_id": 827454755869556700,
"author_name": "tsukie",
"timestamp": "07/28/2022 14:43:23",
"content": "could I please get the answer for this? I keep getting different answers and I'd like to be able to work my way up to the correct answer",
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"content": "Pinned a message.",
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"author_id": 121075349667708930,
"author_name": "Hexicle",
"timestamp": "07/28/2022 14:54:57",
"content": "It would help if you showed some work, the steps are simple but there is a lot going on under the hood at each step",
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"id": 1002288906554855400,
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"author_name": "tsukie",
"timestamp": "07/28/2022 14:58:16",
"content": "ah 😭 I don't have a camera or a phone at the moment, I have all the material needed to study it but I would just like the answer so I can work backward and figure out where I went wrong",
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"id": 1002289756404711400,
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"author_name": "Hexicle",
"timestamp": "07/28/2022 15:01:39",
"content": "So what do you get the singularities",
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"id": 1002290137578868700,
"author_id": 827454755869556700,
"author_name": "tsukie",
"timestamp": "07/28/2022 15:03:10",
"content": "sorry, my english isn't that good but I get most of it, I just keep messing up here and there and I can't find an answer anywhere",
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"id": 1002290297440567300,
"author_id": 827454755869556700,
"author_name": "tsukie",
"timestamp": "07/28/2022 15:03:48",
"content": "I'd ask my tutor tomorrow but I want to get some revision in before then",
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},
{
"id": 1002290675548700800,
"author_id": 121075349667708930,
"author_name": "Hexicle",
"timestamp": "07/28/2022 15:05:18",
"content": "So you can't tell me where the singularities are?",
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},
{
"id": 1002290910291304400,
"author_id": 827454755869556700,
"author_name": "tsukie",
"timestamp": "07/28/2022 15:06:14",
"content": "not really, I don't know what you mean",
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},
{
"id": 1002291075173580900,
"author_id": 121075349667708930,
"author_name": "Hexicle",
"timestamp": "07/28/2022 15:06:53",
"content": "Where are the poles?",
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},
{
"id": 1002291483732345000,
"author_id": 827454755869556700,
"author_name": "tsukie",
"timestamp": "07/28/2022 15:08:31",
"content": "I'm not sure what you mean",
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},
{
"id": 1002291549377417300,
"author_id": 121075349667708930,
"author_name": "Hexicle",
"timestamp": "07/28/2022 15:08:47",
"content": "What language are you taught mathematics in",
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},
{
"id": 1002291615748063400,
"author_id": 827454755869556700,
"author_name": "tsukie",
"timestamp": "07/28/2022 15:09:02",
"content": "chinese",
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},
{
"id": 1002291800427479000,
"author_id": 827454755869556700,
"author_name": "tsukie",
"timestamp": "07/28/2022 15:09:46",
"content": "if it's too messy, it's okay, I can just ask my tutor tomorrow",
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{
"id": 1002291908233662500,
"author_id": 827454755869556700,
"author_name": "tsukie",
"timestamp": "07/28/2022 15:10:12",
"content": "it's not too big of a problem",
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{
"id": 1002291910817349800,
"author_id": 121075349667708930,
"author_name": "Hexicle",
"timestamp": "07/28/2022 15:10:13",
"content": "That's not helpful. Do you speak Mandarin? Cantonese?",
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},
{
"id": 1002291963082592400,
"author_id": 827454755869556700,
"author_name": "tsukie",
"timestamp": "07/28/2022 15:10:25",
"content": "mandarin",
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{
"id": 1002292194058707000,
"author_id": 827454755869556700,
"author_name": "tsukie",
"timestamp": "07/28/2022 15:11:20",
"content": "I'm sorry my english is not good 😭",
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{
"id": 1002292282940207100,
"author_id": 121075349667708930,
"author_name": "Hexicle",
"timestamp": "07/28/2022 15:11:41",
"content": "Where are the 奇異點或奇异点",
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"id": 1002292429195583500,
"author_id": 827454755869556700,
"author_name": "tsukie",
"timestamp": "07/28/2022 15:12:16",
"content": "I can ask my tutor tomorrow, don't worry about it, sorry to waste your time",
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"id": 1002293336129941500,
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"author_name": "Hexicle",
"timestamp": "07/28/2022 15:15:53",
"content": "I really don't believe you when you say that your English is the problem, especially when you claim that you speak Mandarin and now can't follow the terminology in Mandarin enough to answer an extremely basic question.",
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"timestamp": "07/28/2022 15:27:16",
"content": "@tsukie Has your question been resolved?",
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"timestamp": "07/28/2022 15:42:17",
"content": "Channel closed",
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] |
help-9
|
1d9fffe98d2147fdb607becba884bcd9
|
197,491 |
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"content": "Available help channel!",
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"id": 1002303162474037400,
"author_id": 793573400006099000,
"author_name": "CaliforniaRoll",
"timestamp": "07/28/2022 15:54:55",
"content": "In Euclidean geometry, when do you start thinking of constructing things?",
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"content": "Pinned a message.",
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"author_name": "CaliforniaRoll",
"timestamp": "07/28/2022 15:55:26",
"content": "Like maybe in this case what would prompt you to construct line HD?",
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"timestamp": "07/28/2022 16:10:26",
"content": "@CaliforniaRoll Has your question been resolved?",
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"content": "@CaliforniaRoll Has your question been resolved?",
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"timestamp": "07/28/2022 16:51:21",
"content": "@Helpers",
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"timestamp": "07/28/2022 17:51:21",
"content": "@CaliforniaRoll Has your question been resolved?",
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"author_id": 210044408756699140,
"author_name": "WulfZono",
"timestamp": "07/28/2022 18:00:28",
"content": "what it seems like they're doing is to create a right triangle so that we can create a known angle",
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"author_name": "WulfZono",
"timestamp": "07/28/2022 18:01:40",
"content": "when it comes to constructing a new line its usually to find a known quantity from what we have been given or to simplify the problem to begin working on a solution",
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"timestamp": "07/28/2022 18:03:34",
"content": "i dont know of any specific rule that defines when to add in lines and such, its more of intuition into finding a solution",
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"id": 1002347562923216900,
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"timestamp": "07/28/2022 18:51:21",
"content": "Channel closed",
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}
] |
help-9
|
ca40614756f84af886eeb54416ab7bbf
|
197,492 |
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"content": "Available help channel!",
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"id": 1002353313192366200,
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"id": 1002353333467623600,
"author_id": 258758547381288960,
"author_name": "Ramy",
"timestamp": "07/28/2022 19:14:17",
"content": "I need help",
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{
"id": 1002353425339650000,
"author_id": 258758547381288960,
"author_name": "Ramy",
"timestamp": "07/28/2022 19:14:39",
"content": "why is the maximum value -9, shouldn’t the highest value be the maximum value",
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"id": 1002353463503618000,
"author_id": 258758547381288960,
"author_name": "Ramy",
"timestamp": "07/28/2022 19:14:48",
"content": "so in this case the maximum value should be -1",
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"id": 1002353553341436200,
"author_id": 307070375735459840,
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"timestamp": "07/28/2022 19:15:09",
"content": ",rotate",
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"author_name": "TeXit",
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"timestamp": "07/28/2022 19:17:12",
"content": "Yeah @Ramy you’re right",
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"timestamp": "07/28/2022 19:17:23",
"content": "The maximum is -1 and the minimum is -9",
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"author_name": "JuanD MarketMart",
"timestamp": "07/28/2022 19:20:46",
"content": "I think maybe it's because -9 < -1 which means that -1 is the maximum yeah",
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"timestamp": "07/28/2022 19:29:48",
"content": "@Ramy Has your question been resolved?",
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"timestamp": "07/28/2022 19:41:09",
"content": "Channel closed",
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}
] |
help-9
|
3a0d7ab8ccd845fe906204afa94751d3
|
197,493 |
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{
"id": 959279667578294300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 22:34:55",
"content": "Available help channel!",
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},
{
"id": 959283572466933800,
"author_id": 920364114390446100,
"author_name": "autist",
"timestamp": "03/31/2022 22:50:26",
"content": "Is every field UFD",
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},
{
"id": 959283574467625100,
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"author_name": "Mathematics Bot",
"timestamp": "03/31/2022 22:50:26",
"content": "Pinned a message.",
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"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/31/2022 23:00:16",
"content": "Yeah, all elements of a field are units",
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"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/31/2022 23:00:35",
"content": "So it’s vacuously a UFD",
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"id": 959286230732898300,
"author_id": 307070375735459840,
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"timestamp": "03/31/2022 23:01:00",
"content": "@autist",
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"timestamp": "03/31/2022 23:01:43",
"content": "Theres another condition of ufd@abs_0",
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"timestamp": "03/31/2022 23:01:51",
"content": "What",
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"id": 959286716320059400,
"author_id": 920364114390446100,
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"timestamp": "03/31/2022 23:02:55",
"content": ".close",
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] |
help-9
|
7770018aa44b4f9c9ddaf60d65d720bf
|
197,494 |
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"timestamp": "07/28/2022 19:42:09",
"content": "Available help channel!",
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"id": 1002361052396277800,
"author_id": 751287931381088300,
"author_name": "Jayda",
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"content": "I need help with this question :D. I am very confused on how to solve this question",
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"author_name": "Starlight",
"timestamp": "07/28/2022 19:49:20",
"content": "Do you know what the average rate of change is?",
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"timestamp": "07/28/2022 19:49:38",
"content": "I know how to find it yes",
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"content": "Oh this isn’t calculus. It’s advanced functions",
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"timestamp": "07/28/2022 19:50:15",
"content": "So derivatives aren’t needed for this question",
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"id": 1002362388546338800,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/28/2022 19:50:16",
"content": "Canada?",
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"id": 1002362408184053800,
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"timestamp": "07/28/2022 19:50:21",
"content": "Yes :).",
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"author_name": "AirToastie",
"timestamp": "07/28/2022 19:50:24",
"content": "Noice",
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"author_name": "Jayda",
"timestamp": "07/28/2022 19:51:20",
"content": "But yes, I know what the average rate of change is but I’m confused as to what I am plugging in",
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"author_name": "AirToastie",
"timestamp": "07/28/2022 19:52:18",
"content": "Oh wait",
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"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "07/28/2022 19:52:26",
"content": "I might be wrong but isn't it",
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"timestamp": "07/28/2022 19:52:32",
"content": "Plugging 0 and 10",
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"timestamp": "07/28/2022 19:52:40",
"content": "and finding the slope?",
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"author_name": "Jayda",
"timestamp": "07/28/2022 19:53:40",
"content": "See that is what I initially thought as well. And I did that but for some reason I’m thinking that it’s wrong? Idk, and what does the 2L have to do with the question",
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"timestamp": "07/28/2022 19:54:07",
"content": "Sikeeee information",
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"content": "It doesn't it's just irrelevent info",
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"timestamp": "07/28/2022 19:54:40",
"content": "Okay, so when plugging in (0,10) I got -0.2",
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"timestamp": "07/28/2022 19:54:59",
"content": "Which I’m not sure why but confused me a little bit because idk why it would be negative?",
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"timestamp": "07/28/2022 19:55:24",
"content": "The volume is shrinking",
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"timestamp": "07/28/2022 19:55:28",
"content": "When I did b as well I got -0.59",
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"timestamp": "07/28/2022 19:55:39",
"content": "OHHHH",
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"author_name": "AirToastie",
"timestamp": "07/28/2022 19:56:22",
"content": "Jayda can I ask you something btw",
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"timestamp": "07/28/2022 19:56:25",
"content": "Yes",
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"timestamp": "07/28/2022 19:57:48",
"content": "Hmmm, no it isn’t I don’t think so at least. I know people who are not that very good at English who gets 90s",
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"timestamp": "07/28/2022 19:58:03",
"content": "However, I would say it’s very dependent on the teacher",
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"timestamp": "07/28/2022 19:58:13",
"content": "Ahh sheet",
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"timestamp": "07/28/2022 19:58:18",
"content": "Okay, thanks",
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"timestamp": "07/28/2022 19:58:28",
"content": "Also, I need help with c c:<",
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"timestamp": "07/28/2022 19:58:45",
"content": "The last 2 seconds I think it means",
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"timestamp": "07/28/2022 19:59:35",
"content": "y value of (x) - y value of (x - 2) / x - (x - 2)",
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"timestamp": "07/28/2022 19:59:59",
"content": "I confused",
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"timestamp": "07/28/2022 20:00:33",
"content": "Oh wait",
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"content": "It's comparing with initial value",
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"timestamp": "07/28/2022 20:01:51",
"content": "The wording is a bit equivocal for number c...",
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"timestamp": "07/28/2022 20:01:58",
"content": "Might wanna check with your teacher",
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"timestamp": "07/28/2022 20:02:24",
"content": "Would u think it’s 8-10?",
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"timestamp": "07/28/2022 20:03:05",
"content": "first two seconds 10...9...8",
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"timestamp": "07/28/2022 20:03:06",
"content": "Because maybe that’s why it said entire 10 seconds instead of first 10 seconds",
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"timestamp": "07/28/2022 20:03:27",
"content": "so t is 8",
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"timestamp": "07/28/2022 20:03:47",
"content": "Am I subbing 8 into t and solving for V?",
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"timestamp": "07/28/2022 20:04:16",
"content": "Or is this correct?",
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"timestamp": "07/28/2022 20:07:21",
"content": "oh yeah you're right",
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"timestamp": "07/28/2022 20:07:26",
"content": "idk why I thought it was 8 lol",
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"timestamp": "07/28/2022 20:07:35",
"content": "looks good",
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"timestamp": "07/28/2022 20:07:41",
"content": "Oh I havent done c yet",
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"timestamp": "07/28/2022 20:07:50",
"content": "do you know how?",
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"timestamp": "07/28/2022 20:07:54",
"content": "For c I would be subbing in (8,10)",
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"timestamp": "07/28/2022 20:07:58",
"content": "How what sorry?",
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"timestamp": "07/28/2022 20:08:16",
"content": "the last two seconds?",
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"content": "I think you would sub in 8 for that",
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"timestamp": "07/28/2022 20:09:23",
"content": "you would do 10-8 and then 10-10",
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"timestamp": "07/28/2022 20:09:25",
"content": "Well I’m assuming that because a) says “the ENTIRE 10 seconds” that means we are dealing with the time from 0 to 10? So the last two seconds r 8-10?",
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"timestamp": "07/28/2022 20:11:08",
"content": "I think so",
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"timestamp": "07/28/2022 20:11:41",
"content": "Why do u think it’s 10-8 first?",
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"timestamp": "07/28/2022 20:12:05",
"content": "because you start at the beginning of the last two seconds",
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"timestamp": "07/28/2022 20:12:21",
"content": "and then you take that rate of change from that to the entire 10 seconds",
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"id": 1002368299511844900,
"author_id": 751287931381088300,
"author_name": "Jayda",
"timestamp": "07/28/2022 20:13:45",
"content": "This is what I did",
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"id": 1002368370617884800,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/28/2022 20:14:02",
"content": "It doesnt really matter that order",
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},
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"id": 1002368447004540900,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/28/2022 20:14:20",
"content": "as long as they are ordered the same top and bottom",
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"id": 1002368474271719600,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/28/2022 20:14:27",
"content": "does it check out?",
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},
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"id": 1002368587304018000,
"author_id": 751287931381088300,
"author_name": "Jayda",
"timestamp": "07/28/2022 20:14:54",
"content": "Yeah I tried both ways",
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},
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"id": 1002368627871330400,
"author_id": 751287931381088300,
"author_name": "Jayda",
"timestamp": "07/28/2022 20:15:03",
"content": "And they both give me the same answer",
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"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 20:30:04",
"content": "@Jayda Has your question been resolved?",
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"timestamp": "07/28/2022 20:31:24",
"content": "Channel closed",
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}
] |
help-9
|
363753c8e9b14266966bb3ca5008ee61
|
197,495 |
[
{
"id": 1002372994611564700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 20:32:25",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1002379348814332000,
"author_id": 797914738386272400,
"author_name": "aayushyap89",
"timestamp": "07/28/2022 20:57:40",
"content": "f(x) = -2x^2-4x+1\nf'(x) = -4x-4\n\nAre they taking the derivative here using the formula f(x+h)-f(x)/h?",
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"id": 1002379350810820600,
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"timestamp": "07/28/2022 20:57:40",
"content": "Pinned a message.",
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{
"id": 1002382786033881100,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "07/28/2022 21:11:19",
"content": "f(x) = -2x^2-4x+1\nf'(x) = -2(2)x^(2-1)-4(1)x^(1-1)+1(0)x^(0-1)",
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"id": 1002382865985700000,
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"author_name": "HeadShotCem",
"timestamp": "07/28/2022 21:11:38",
"content": "= -4x-4+0",
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},
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"id": 1002383015135170600,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "07/28/2022 21:12:14",
"content": "the formula isn’t necessary for this one I’d say",
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"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 21:17:14",
"content": "@aayushyap89 Has your question been resolved?",
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"author_name": "aayushyap89",
"timestamp": "07/28/2022 21:18:49",
"content": "Thanks, yea I should have thought of the power rule anx^n-1.",
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"timestamp": "07/28/2022 21:18:52",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
2f3167f9ddc844618e6c8061c3115262
|
197,496 |
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{
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"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 22:11:45",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002398496793563100,
"author_id": 759245748751171600,
"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:13:45",
"content": "",
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"timestamp": "07/28/2022 22:13:45",
"content": "Pinned a message.",
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"id": 1002398535439880400,
"author_id": 759245748751171600,
"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:13:54",
"content": "I dont necesarily now where to start",
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"id": 1002398665970811000,
"author_id": 759245748751171600,
"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:14:25",
"content": "it feels unnecesarily easy but hard at the same time",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/28/2022 22:23:17",
"content": "What have you tried",
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"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:24:10",
"content": "nothing necesarily i am not sure n what to do it just feels like the definition of fundamental theorem of calculus",
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"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:24:18",
"content": "but that makes no sense at teh same point",
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"id": 1002401378272022700,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/28/2022 22:25:12",
"content": "How many dimensions are **r** and **v**? I presume 3?",
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"id": 1002402396363817000,
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"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:29:15",
"content": "nothing else is given",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/28/2022 22:30:03",
"content": "Well, I'm going to assume 3 dimensions, so hopefully that's right, and that they didn't want you to generalize to arbitrary dimensions",
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"id": 1002402663201259500,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/28/2022 22:30:18",
"content": "If **v** is a constant vector, what does that mean?",
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"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:30:41",
"content": "the previous quesiton was 3 dimensions so that should be ok to assume",
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"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:31:21",
"content": "it doesnt have any variables",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/28/2022 22:31:54",
"content": "So what is **v** in component form? Don't be afraid to use placeholders in absence of raw numbers",
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"id": 1002403367655592100,
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"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:33:06",
"content": "v=<x,y,z>",
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"author_name": "Gamer Dio",
"timestamp": "07/28/2022 22:33:23",
"content": "Good. And what about **r**?",
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"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:33:53",
"content": "its the same thing right",
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"id": 1002403599260844000,
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"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:34:01",
"content": "r=<q,s,t>",
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"author_name": "Gamer Dio",
"timestamp": "07/28/2022 22:35:00",
"content": "Well, there's a difference. **v** is constant, but **r** is not",
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"timestamp": "07/28/2022 22:35:30",
"content": "You should keep it as <a, b, c> imo, to emphasize the fact that the components are constants and not variables",
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"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:36:09",
"content": "a and b are used for the bounds on r though",
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"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:36:41",
"content": "so like r=<rq,rs,rt>?",
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"timestamp": "07/28/2022 22:38:01",
"content": "Damn. Then uhhh maybe use p, q, and r for **v**. Idk, just something other than x, y, and z. Or use x, y, and z, it's just... unconventional to use those for constants.\n\n**r** is a function of t. It could be something like <t², t, 1>, or <sint, e^t * t² + 1, t^t^t^t^t>",
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"author_name": "Gamer Dio",
"timestamp": "07/28/2022 22:38:23",
"content": "How could we write **r** to encompass all these possibilities?",
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"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:40:07",
"content": "so \nv=<p,q,r> works",
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"timestamp": "07/28/2022 22:40:22",
"content": "Sure",
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"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:40:37",
"content": "do you mean to write it in z= form?",
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"timestamp": "07/28/2022 22:40:47",
"content": "No",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/28/2022 22:40:57",
"content": "Notice that each component is a function of t",
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"timestamp": "07/28/2022 22:41:05",
"content": "So maybe we could call the first component f(t)",
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"author_name": "Gamer Dio",
"timestamp": "07/28/2022 22:41:13",
"content": "And likewise for the other two",
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"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:41:25",
"content": "r(t)=<x(t), y(t), z(t)>",
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"timestamp": "07/28/2022 22:41:32",
"content": "Sure, that works",
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"timestamp": "07/28/2022 22:41:42",
"content": "ok yeah sorry",
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"author_name": "Gamer Dio",
"timestamp": "07/28/2022 22:41:45",
"content": "Now, what's d**r**",
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"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:43:14",
"content": "uhhh < dx/dt, dy/dt, dz/dt>",
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"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:43:19",
"content": "wait",
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"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:43:20",
"content": "dang it",
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"timestamp": "07/28/2022 22:44:12",
"content": "Yes, though that's d**r**/dt. For d**r**, all of those are multiplied by dt",
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"timestamp": "07/28/2022 22:44:36",
"content": "So you'd have something like <x'(t) dt, y'(t) dt, z'(t) dt>",
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"author_name": "Gamer Dio",
"timestamp": "07/28/2022 22:44:53",
"content": "So with that, what's **v** • d**r**?",
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"id": 1002406456458481700,
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"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:45:23",
"content": "p * x'(t) dt and such",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/28/2022 22:45:49",
"content": "So what's the whole expression, factoring out dt?",
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"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:46:53",
"content": "dt<p x(t), q y(t), r z(t)>",
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"id": 1002406934600745000,
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"timestamp": "07/28/2022 22:47:17",
"content": "Not quite",
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{
"id": 1002406984454258700,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/28/2022 22:47:28",
"content": "**v** • d**r** isn't a vector",
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{
"id": 1002407062870949900,
"author_id": 759245748751171600,
"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:47:47",
"content": "oh yup 🤦♂️",
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{
"id": 1002407141656756200,
"author_id": 759245748751171600,
"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:48:06",
"content": "its addition",
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{
"id": 1002407173202120700,
"author_id": 759245748751171600,
"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:48:13",
"content": "between them right?",
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"id": 1002407189702529000,
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"author_name": "Gamer Dio",
"timestamp": "07/28/2022 22:48:17",
"content": "Yep",
"attachments": [],
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{
"id": 1002407264382103600,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/28/2022 22:48:35",
"content": "So what's ∫ **v** • d**r**?",
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},
{
"id": 1002407726170779600,
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"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:50:25",
"content": "px''(t)+qy''(t)+rz''(t)",
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},
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"id": 1002407835302367400,
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"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:50:51",
"content": "just from b to a",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/28/2022 22:50:58",
"content": "You sure?",
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},
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"id": 1002407936385102000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/28/2022 22:51:15",
"content": "Why's everything '' instead of '?",
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},
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"id": 1002408014889885800,
"author_id": 759245748751171600,
"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:51:34",
"content": "because we are taking the integral in dt",
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},
{
"id": 1002408159551443100,
"author_id": 759245748751171600,
"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:52:09",
"content": "so integral of x'(t)dt must be x''(t) right?",
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},
{
"id": 1002408232175796400,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/28/2022 22:52:26",
"content": "So the integral of x² dx = 2x?",
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},
{
"id": 1002408293689458800,
"author_id": 759245748751171600,
"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:52:41",
"content": "yup i am absolutely stupid",
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},
{
"id": 1002408842665148400,
"author_id": 759245748751171600,
"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:54:51",
"content": "v (r(b) - r(a))",
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},
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"id": 1002408984516493300,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/28/2022 22:55:25",
"content": "I assume those are dotted?",
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},
{
"id": 1002409012010164400,
"author_id": 759245748751171600,
"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:55:32",
"content": "yeah",
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},
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"id": 1002409077856534500,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/28/2022 22:55:48",
"content": "Then yeah. Looks like the right answer to me",
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"id": 1002409122433613800,
"author_id": 759245748751171600,
"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:55:58",
"content": "thanks!",
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},
{
"id": 1002409149159706800,
"author_id": 759245748751171600,
"author_name": "crescentshrey",
"timestamp": "07/28/2022 22:56:05",
"content": ".close",
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},
{
"id": 1002409150338318500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/28/2022 22:56:05",
"content": "Channel closed",
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}
] |
help-9
|
d7bcecb1176a4b3d83988c34246ec29f
|
197,497 |
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"timestamp": "07/28/2022 22:57:05",
"content": "Available help channel!",
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"content": "@Helpers",
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"content": "Is that 4th step allowed? Im asking",
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"content": "No",
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"timestamp": "07/28/2022 23:22:55",
"content": "They all have to be under the same base either as a stand-alone term or a factor",
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"content": "I'm very much tempted to just grab a calculator and use Newton's method just to save me algebraic agony",
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"timestamp": "07/28/2022 23:24:44",
"content": "💯",
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"author_name": "Umbraleviathan",
"timestamp": "07/28/2022 23:26:25",
"content": "Lemme look at this",
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"author_id": 349354952961032200,
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"timestamp": "07/28/2022 23:28:01",
"content": "I'm gonna need paper and a charger fuck",
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"timestamp": "07/28/2022 23:29:10",
"content": "😂 take your time",
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"author_name": "Umbraleviathan",
"timestamp": "07/28/2022 23:29:40",
"content": "I love a dead laptop",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/28/2022 23:36:32",
"content": "Do you have to solve this by hand?",
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"author_name": "Umbraleviathan",
"timestamp": "07/28/2022 23:36:40",
"content": "And do you need only real-number answers?",
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"author_id": 349354952961032200,
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"timestamp": "07/28/2022 23:37:16",
"content": "In case there happen to be complex numbers",
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"timestamp": "07/28/2022 23:38:12",
"content": "yes",
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"id": 1002419803283271700,
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"timestamp": "07/28/2022 23:38:25",
"content": "the x should be 0 or -1",
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"id": 1002419848208457700,
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"timestamp": "07/28/2022 23:38:35",
"content": "i have the answers but not the steps",
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"author_name": "Umbraleviathan",
"timestamp": "07/28/2022 23:38:38",
"content": "That's what I'm getting from graphing",
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"author_name": "Umbraleviathan",
"timestamp": "07/28/2022 23:38:59",
"content": "I'm just thinking of the algebra behind it",
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"timestamp": "07/28/2022 23:39:21",
"content": "Is the first step allowed?",
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"timestamp": "07/28/2022 23:39:31",
"content": "No",
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"id": 1002421453800603600,
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"author_name": "Umbraleviathan",
"timestamp": "07/28/2022 23:44:58",
"content": "I'm gonna try matching terms",
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"author_name": "Umbraleviathan",
"timestamp": "07/28/2022 23:45:33",
"content": "That gets me x = 0",
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"author_name": "Umbraleviathan",
"timestamp": "07/28/2022 23:47:24",
"content": "$${\\color{cyan}{(3+2\\sqrt{2})^x}} - {\\color{lime}{\\sqrt{2}(\\sqrt{2}+1)^x}} = {\\color{cyan}{1}}-{\\color{lime}{\\sqrt{2}}}$$",
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"timestamp": "07/28/2022 23:47:43",
"content": "**Umbraleviathan**",
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"timestamp": "07/28/2022 23:47:51",
"content": "So I matched those terms and got x = 0",
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"timestamp": "07/28/2022 23:49:05",
"content": "oh ok",
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"timestamp": "07/28/2022 23:49:18",
"content": "I'm wondering how to get -1 though",
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"content": "I get -1 through Newton's method lmao which is cheating",
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"timestamp": "07/28/2022 23:51:40",
"content": "could you take a picture so i can see😅",
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"timestamp": "07/28/2022 23:53:19",
"content": "Which is again, cheating",
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"timestamp": "07/28/2022 23:53:22",
"content": "Because calculator moment",
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"timestamp": "07/28/2022 23:53:33",
"content": "😅",
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"timestamp": "07/28/2022 23:53:50",
"content": "The only one I got by hand is x = 0",
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"timestamp": "07/28/2022 23:54:07",
"content": "will thats not bad thats half the answer",
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"timestamp": "07/28/2022 23:54:12",
"content": "😂",
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"timestamp": "07/28/2022 23:54:31",
"content": "Only if this worked out nicer",
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"timestamp": "07/28/2022 23:59:23",
"content": "Because on desmos",
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"author_name": "Umbraleviathan",
"timestamp": "07/28/2022 23:59:33",
"content": "In this form it still says there are 2 solutions",
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"timestamp": "07/28/2022 23:59:36",
"content": "No shit I guess",
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"author_name": "Umbraleviathan",
"timestamp": "07/28/2022 23:59:40",
"content": "I didn't add nor remove anything",
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"id": 1002425197607014400,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/28/2022 23:59:51",
"content": "But now I'm like looking down the barrel of a gun with this one",
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"timestamp": "07/29/2022 00:01:32",
"content": "Playing around, it has to do with the sqrt 2",
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"id": 1002427237909397600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 00:07:57",
"content": ",w solve for x",
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},
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"id": 1002427249204670600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/29/2022 00:08:00",
"content": "Results provided by WolframAlpha",
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},
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"id": 1002427249397608600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 00:08:00",
"content": "Wait",
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},
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"id": 1002427268880154800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 00:08:05",
"content": "No",
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},
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"id": 1002427429815591000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 00:08:43",
"content": ",w solve (3+2sqrt(2))^x - 2sqrt(2)(sqrt(2)+1)^x-1+sqrt(2)=0",
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},
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"id": 1002427445481320400,
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"author_name": "TeXit",
"timestamp": "07/29/2022 00:08:47",
"content": "Results provided by WolframAlpha",
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},
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"id": 1002427480445034500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 00:08:55",
"content": "What in gods name",
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"id": 1002427497100623900,
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"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 00:08:59",
"content": "That's no what I typed",
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"id": 1002427538846527500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 00:09:09",
"content": ",w solve (3+2sqrt(2))^x - sqrt(2)(sqrt(2)+1)^x-1+sqrt(2)=0",
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},
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"id": 1002427554017333400,
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"timestamp": "07/29/2022 00:09:13",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
{
"id": 1002427772959989800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 00:10:05",
"content": "hahahahahahahaha",
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},
{
"id": 1002427780677517300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 00:10:07",
"content": "Burn me",
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},
{
"id": 1002428480593604700,
"author_id": 385077399194304500,
"author_name": "Feras",
"timestamp": "07/29/2022 00:12:53",
"content": "i have the pro and there are no step for step for this one",
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},
{
"id": 1002428521261580300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 00:13:03",
"content": "Yeah I only got x = 0",
"attachments": [],
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},
{
"id": 1002428547505336300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 00:13:09",
"content": "I'll work on this for like another 47 minutes",
"attachments": [],
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},
{
"id": 1002428557571662000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 00:13:12",
"content": "Then I gotta dip",
"attachments": [],
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},
{
"id": 1002428623774564400,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 00:13:28",
"content": "Where is Ann when you need their big brain",
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"reference": null
},
{
"id": 1002432256478023800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 00:27:54",
"content": "@Feras Has your question been resolved?",
"attachments": [],
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{
"id": 1002434650431574100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 00:37:24",
"content": "Still stuck",
"attachments": [],
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"reference": null
},
{
"id": 1002434659134738600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 00:37:27",
"content": "I have uh",
"attachments": [],
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"reference": null
},
{
"id": 1002434673265344600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 00:37:30",
"content": "Introduced natural logs",
"attachments": [],
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},
{
"id": 1002435449236758700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 00:40:35",
"content": "Lemme latex this so I can save the image",
"attachments": [],
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"reference": null
},
{
"id": 1002435784437149700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 00:41:55",
"content": "$$\\left(3+2\\sqrt{2}\\right)^x - \\sqrt{2}\\left(\\sqrt{2}+1\\right)^x+\\sqrt{2} = 1$$\n$$\\text{ }$$\n$$x\\in\\bR$$",
"attachments": [],
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},
{
"id": 1002435795971473500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/29/2022 00:41:58",
"content": "**Umbraleviathan**",
"attachments": [
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},
{
"id": 1002435825998516400,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "07/29/2022 00:42:05",
"content": "you can notice that 3+2sqrt(2) can be rewritten as (sqrt(2)+1)^2",
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},
{
"id": 1002435893761671300,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "07/29/2022 00:42:21",
"content": "then this is simply just a quadratic equation, not a pretty one tho",
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},
{
"id": 1002436014045941800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 00:42:50",
"content": "Ffs I overlooked that",
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},
{
"id": 1002436032232423400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 00:42:54",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
80b3c03a11da42f99ed74686b1992acb
|
197,498 |
[
{
"id": 1002436285203497100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 00:43:54",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1002442215668334700,
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"author_name": "Deleted User",
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"content": "",
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"timestamp": "07/29/2022 01:07:29",
"content": "Pinned a message.",
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{
"id": 1002442236585324500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:07:33",
"content": "can somebody help me with this",
"attachments": [],
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},
{
"id": 1002442320920182900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:07:53",
"content": "have you made any progress or are you stuck not knowing how to begin?",
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},
{
"id": 1002442584343461900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:08:56",
"content": "i dont know how to begin",
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},
{
"id": 1002442795908346000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:09:47",
"content": "do you know what it means for a circle to circumscribe a triangle?",
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},
{
"id": 1002442849465405600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:09:59",
"content": "yes",
"attachments": [],
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},
{
"id": 1002442883728691300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:10:07",
"content": "tell me in your own words what that means.",
"attachments": [],
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},
{
"id": 1002443273664733200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:11:40",
"content": "isnt it using the midpoint of a triangle as the center of a circle and the bisector as the radius(I'm probably wrong(",
"attachments": [],
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},
{
"id": 1002444011329564800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:14:36",
"content": "...no, this is incoherent.",
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},
{
"id": 1002444131961929700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:15:05",
"content": "a circle is said to **circumscribe** a triangle if it *passes through all three of the triangle vertices*.",
"attachments": [],
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},
{
"id": 1002444143886352400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:15:08",
"content": "do you understand this or not?",
"attachments": [],
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},
{
"id": 1002444286584946800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:15:42",
"content": "@Deleted User",
"attachments": [],
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"id": 1002444300786876500,
"author_id": 456226577798135800,
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"timestamp": "07/29/2022 01:15:45",
"content": "yes",
"attachments": [],
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},
{
"id": 1002444370554912800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:16:02",
"content": "umm wait a sec",
"attachments": [],
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},
{
"id": 1002444393434861700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:16:07",
"content": "im gonna look throguth my lessons again",
"attachments": [],
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{
"id": 1002444501916336300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:16:33",
"content": "would you like to look through your lessons or would you like to continue having me explain things to you",
"attachments": [],
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},
{
"id": 1002444742719705100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:17:31",
"content": "i would like to continue with you",
"attachments": [],
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{
"id": 1002444955073118300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:18:21",
"content": "right",
"attachments": [],
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},
{
"id": 1002444987276988500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:18:29",
"content": "so in that case",
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"id": 1002445252940009600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:19:32",
"content": "suppose the center of the circle we're looking for is called O. we don't know where O is yet, but we know that three particular line segments will have to be of equal length, as a consequence of O being the circumcenter.",
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},
{
"id": 1002445276574916700,
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"author_name": "Ann",
"timestamp": "07/29/2022 01:19:38",
"content": "what are these equal line segments?",
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},
{
"id": 1002445540933505200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:20:41",
"content": "there will be the three lines from a triangle",
"attachments": [],
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},
{
"id": 1002445768612905000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:21:35",
"content": "in geometry there is this very common and very important practice of referring to line segments **by name**, sexman.",
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"author_name": "Deleted User",
"timestamp": "07/29/2022 01:21:55",
"content": "ok",
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},
{
"id": 1002445898556637200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:22:06",
"content": "OD, OE and OF.",
"attachments": [],
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},
{
"id": 1002445957767639200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:22:20",
"content": "these three line segments, being _radii_ of the circumscribing circle, will have to be equal to each other.",
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},
{
"id": 1002445986574127200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:22:27",
"content": "do you understand this",
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},
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"id": 1002446024750661600,
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"timestamp": "07/29/2022 01:22:36",
"content": "yes",
"attachments": [],
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},
{
"id": 1002446043918631000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:22:41",
"content": "would it be somethign like this?",
"attachments": [],
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},
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"id": 1002446057407524900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:22:44",
"content": "",
"attachments": [
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"author_name": "Ann",
"timestamp": "07/29/2022 01:22:59",
"content": "that is vaguely what the circle would look like, but this crude drawing is not the construction they're looking for.",
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},
{
"id": 1002446154816045000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:23:07",
"content": "oh ok",
"attachments": [],
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},
{
"id": 1002446315420127400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:23:46",
"content": "given that OE = OF, O must be _equidistant from E and F_. do you know what the locus of _all_ points equidistant from E and F looks like?",
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},
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"id": 1002446751904575500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:25:30",
"content": "yes i think so",
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},
{
"id": 1002446901246967800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:26:05",
"content": "ok then say what it looks like",
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"timestamp": "07/29/2022 01:28:44",
"content": "",
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"id": 1002447588903096400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:28:49",
"content": "would it be somethign like this",
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},
{
"id": 1002447602958217200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:28:53",
"content": "if i used a compass",
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},
{
"id": 1002447931103793200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:30:11",
"content": "....",
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},
{
"id": 1002448121298694300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:30:56",
"content": "i was expecting you to say \"the line perpendicular to EF and going through the midpoint of EF.\" not send in another drawing of questionable quality.",
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},
{
"id": 1002448166983057400,
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"author_name": "Ann",
"timestamp": "07/29/2022 01:31:07",
"content": "i said \"say\", not \"draw\".",
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},
{
"id": 1002448199396634800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:31:15",
"content": "oh sorry",
"attachments": [],
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},
{
"id": 1002448428384661500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:32:09",
"content": "that and also you drew what appears to be _another_ segment's perpendicular bisector.",
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},
{
"id": 1002448634903810000,
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"author_name": "Ann",
"timestamp": "07/29/2022 01:32:59",
"content": "the construction boils down to: draw the perpendicular bisectors of any two sides of the triangle (completely up to you which ones), then mark their intersection and have that be the center of the circumcircle.",
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},
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"id": 1002448748271653000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:33:26",
"content": "",
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"id": 1002448773638795300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:33:32",
"content": "im getting a bit confused right now",
"attachments": [],
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},
{
"id": 1002448815133053000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:33:42",
"content": "is this how our triangle looks right now?",
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},
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"id": 1002449069630836900,
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"timestamp": "07/29/2022 01:34:42",
"content": "no",
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},
{
"id": 1002449301840085000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:35:38",
"content": "sigh ok let me just say it in a more step-list fashion",
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},
{
"id": 1002449304742531200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:35:38",
"content": "oh",
"attachments": [],
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},
{
"id": 1002449305996623900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:35:39",
"content": "1. draw perpendicular bisector of DE\n2. draw perpendicular bisector of EF\n3. mark those two's intersection point as O\n4. draw circle through O with radius OD",
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},
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"id": 1002450389083361400,
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"author_name": "Deleted User",
"timestamp": "07/29/2022 01:39:57",
"content": "",
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"id": 1002450405785084000,
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"timestamp": "07/29/2022 01:40:01",
"content": "would this be it",
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"id": 1002450440610402300,
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"author_name": "Deleted User",
"timestamp": "07/29/2022 01:40:09",
"content": "im sorry if im being a bit of a pain to teach",
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},
{
"id": 1002450552606691300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:40:36",
"content": "no,",
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},
{
"id": 1002450618125918300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:40:51",
"content": "do you see how this circle misses both E and F by a long shot",
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},
{
"id": 1002451020829425700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:42:28",
"content": "you did not really follow my instructions",
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},
{
"id": 1002451158641684500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:43:00",
"content": "i am confused if OD is the radius how would it be able to make a circle",
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},
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"id": 1002451822469972000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:45:39",
"content": "",
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"id": 1002451883782328400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:45:53",
"content": "ok sorry i misspoke",
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},
{
"id": 1002451949058261000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/29/2022 01:46:09",
"content": "i said \"through O\" when i had intended to say \"centered at O\"",
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},
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"id": 1002452050078072800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:46:33",
"content": "oh ok",
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},
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"id": 1002452154000343000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:46:58",
"content": "so is the red do tint he middle O",
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},
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"id": 1002452157481615400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/29/2022 01:46:59",
"content": "?",
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},
{
"id": 1002455935723249700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 02:01:59",
"content": "@Deleted User Has your question been resolved?",
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"id": 1002455957114196100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 02:02:04",
"content": "Channel closed",
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}
] |
help-9
|
cc9dee8ada38411c8d901b40cf8b98d8
|
197,499 |
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"id": 1002456210068476000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 02:03:05",
"content": "Available help channel!",
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},
{
"id": 1002480130763014100,
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"author_name": "Ayn",
"timestamp": "07/29/2022 03:38:08",
"content": "",
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"timestamp": "07/29/2022 03:38:08",
"content": "Pinned a message.",
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"id": 1002480138614751400,
"author_id": 498831265814806500,
"author_name": "Ayn",
"timestamp": "07/29/2022 03:38:10",
"content": "Hi I’m stuck on part a",
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"id": 1002480202322034700,
"author_id": 498831265814806500,
"author_name": "Ayn",
"timestamp": "07/29/2022 03:38:25",
"content": "I tried like 10 times",
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},
{
"id": 1002480284849143900,
"author_id": 498831265814806500,
"author_name": "Ayn",
"timestamp": "07/29/2022 03:38:45",
"content": "But I got 4.2 repeatedly",
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"timestamp": "07/29/2022 03:51:29",
"content": "4.2 should be right",
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"id": 1002483920098574500,
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"timestamp": "07/29/2022 03:53:11",
"content": "its 4.15 to be precise",
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"author_name": "Lvn",
"timestamp": "07/29/2022 03:53:38",
"content": "but still no where close to 6.5",
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"id": 1002484355291168800,
"author_id": 498831265814806500,
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"timestamp": "07/29/2022 03:54:55",
"content": "Hi",
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{
"id": 1002484380071112800,
"author_id": 498831265814806500,
"author_name": "Ayn",
"timestamp": "07/29/2022 03:55:01",
"content": "Ye 4.15",
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},
{
"id": 1002484407682207700,
"author_id": 498831265814806500,
"author_name": "Ayn",
"timestamp": "07/29/2022 03:55:08",
"content": "I think my teacher made an error",
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"id": 1002484475529269200,
"author_id": 498831265814806500,
"author_name": "Ayn",
"timestamp": "07/29/2022 03:55:24",
"content": "He must’ve added the cone’s base and hemisphere’s upper half into the answer",
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"timestamp": "07/29/2022 03:55:37",
"content": "@Helpers confirmation?",
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"timestamp": "07/29/2022 04:10:37",
"content": "@Ayn Has your question been resolved?",
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"timestamp": "07/29/2022 04:12:22",
"content": "@Helpers pls",
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"author_id": 210044408756699140,
"author_name": "WulfZono",
"timestamp": "07/29/2022 04:21:08",
"content": "so i got 6.65",
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"timestamp": "07/29/2022 04:21:44",
"content": "in all honesty i think you sorta jumped the gun with simplification on the second step where you brought the 4 over",
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"content": "you can actually go ahead and factor out 2.5pi from all of the terms on the left side",
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"timestamp": "07/29/2022 04:22:34",
"content": "we then get this when we simplify the right side",
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"timestamp": "07/29/2022 04:22:55",
"content": "though the left side is left with the term L - 2.5",
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"timestamp": "07/29/2022 04:23:03",
"content": "so we go ahead move that over and we get out solution 6.65",
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"timestamp": "07/29/2022 04:23:06",
"content": "@Ayn",
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"timestamp": "07/29/2022 04:23:11",
"content": "Hi",
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"id": 1002491500535480300,
"author_id": 498831265814806500,
"author_name": "Ayn",
"timestamp": "07/29/2022 04:23:19",
"content": "Hmm?",
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"id": 1002491504780136400,
"author_id": 210044408756699140,
"author_name": "WulfZono",
"timestamp": "07/29/2022 04:23:20",
"content": "hello just wondering if you were there sorry",
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{
"id": 1002491544751849500,
"author_id": 498831265814806500,
"author_name": "Ayn",
"timestamp": "07/29/2022 04:23:29",
"content": "Yes I am now",
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{
"id": 1002491554029654000,
"author_id": 498831265814806500,
"author_name": "Ayn",
"timestamp": "07/29/2022 04:23:31",
"content": "Ty for the ping",
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},
{
"id": 1002491563567489000,
"author_id": 210044408756699140,
"author_name": "WulfZono",
"timestamp": "07/29/2022 04:23:34",
"content": "did you get that or would you live me to try and it explain it better?",
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"id": 1002491595326759000,
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"author_name": "Ayn",
"timestamp": "07/29/2022 04:23:41",
"content": "I’m reading it rn, pls gimme a min",
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},
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"author_id": 210044408756699140,
"author_name": "WulfZono",
"timestamp": "07/29/2022 04:23:46",
"content": "sounds great",
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},
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"id": 1002491692684939400,
"author_id": 498831265814806500,
"author_name": "Ayn",
"timestamp": "07/29/2022 04:24:04",
"content": "Didn’t understand quite well",
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},
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"id": 1002491750964801700,
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"author_name": "Ayn",
"timestamp": "07/29/2022 04:24:18",
"content": "I gtg I’ll be back in 20 mins, if you could help me then I’d be quite pleased @WulfZono",
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"timestamp": "07/29/2022 04:24:23",
"content": "sounds great",
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"id": 1002491789606920200,
"author_id": 498831265814806500,
"author_name": "Ayn",
"timestamp": "07/29/2022 04:24:28",
"content": "Love u ur epic",
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},
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"id": 1002491807696961500,
"author_id": 498831265814806500,
"author_name": "Ayn",
"timestamp": "07/29/2022 04:24:32",
"content": "Gotta go",
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},
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"author_name": "Lvn",
"timestamp": "07/29/2022 04:28:09",
"content": "how?",
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"author_name": "WulfZono",
"timestamp": "07/29/2022 04:28:28",
"content": "factoring out the the 2.5 and pi",
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"timestamp": "07/29/2022 04:28:57",
"content": "wouldnt u get L+2*2.5 in lhs",
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"timestamp": "07/29/2022 04:30:03",
"content": "oh mb ur right",
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"timestamp": "07/29/2022 04:30:09",
"content": "lemme redo the math",
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"timestamp": "07/29/2022 04:31:16",
"content": "ye u right its wrong then",
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"id": 1002494462485872600,
"author_id": 498831265814806500,
"author_name": "Ayn",
"timestamp": "07/29/2022 04:35:05",
"content": "Need a bit more time",
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},
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"id": 1002498326693941400,
"author_id": 210044408756699140,
"author_name": "WulfZono",
"timestamp": "07/29/2022 04:50:26",
"content": "all good",
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},
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"timestamp": "07/29/2022 04:50:32",
"content": "your answer was right",
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},
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"id": 1002501514910245000,
"author_id": 498831265814806500,
"author_name": "Ayn",
"timestamp": "07/29/2022 05:03:06",
"content": "I’m back",
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},
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"id": 1002501523051384800,
"author_id": 498831265814806500,
"author_name": "Ayn",
"timestamp": "07/29/2022 05:03:08",
"content": "My bad",
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},
{
"id": 1002501544253591700,
"author_id": 498831265814806500,
"author_name": "Ayn",
"timestamp": "07/29/2022 05:03:13",
"content": "For",
"attachments": [],
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},
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"id": 1002501559105626100,
"author_id": 498831265814806500,
"author_name": "Ayn",
"timestamp": "07/29/2022 05:03:17",
"content": "Taking so long",
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},
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"id": 1002501709106516000,
"author_id": 498831265814806500,
"author_name": "Ayn",
"timestamp": "07/29/2022 05:03:53",
"content": "@WulfZono @Lvn",
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"id": 1002501724684165100,
"author_id": 498831265814806500,
"author_name": "Ayn",
"timestamp": "07/29/2022 05:03:56",
"content": "Is my answer correct?",
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"id": 1002501744846184400,
"author_id": 210044408756699140,
"author_name": "WulfZono",
"timestamp": "07/29/2022 05:04:01",
"content": "yeah",
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},
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"id": 1002501750370083000,
"author_id": 210044408756699140,
"author_name": "WulfZono",
"timestamp": "07/29/2022 05:04:02",
"content": "it is",
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},
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"id": 1002501774546059300,
"author_id": 210044408756699140,
"author_name": "WulfZono",
"timestamp": "07/29/2022 05:04:08",
"content": "confusing though as to why they wrote that",
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"id": 1002501776764829800,
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"author_name": "Ayn",
"timestamp": "07/29/2022 05:04:09",
"content": "Okay",
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},
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"id": 1002501782590738600,
"author_id": 498831265814806500,
"author_name": "Ayn",
"timestamp": "07/29/2022 05:04:10",
"content": "Ty",
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},
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"id": 1002501792409591800,
"author_id": 498831265814806500,
"author_name": "Ayn",
"timestamp": "07/29/2022 05:04:12",
"content": "Fr",
"attachments": [],
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},
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"id": 1002501835459940400,
"author_id": 498831265814806500,
"author_name": "Ayn",
"timestamp": "07/29/2022 05:04:23",
"content": "Tysm y’all",
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"author_name": "Ayn",
"timestamp": "07/29/2022 05:04:25",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002501846935535600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 05:04:25",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
ab6145f8cbd64f049a4e3d0e1850445f
|
197,500 |
[
{
"id": 1002502100263108600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 05:05:26",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002530834965860500,
"author_id": 598228037762285600,
"author_name": "Zanny",
"timestamp": "07/29/2022 06:59:37",
"content": "Hello.\nBasically im given here these 2 linear system of equations.\nO is the homogeneous matrix and M is the non-homogeneous matrix.\n\nAnd im given also (1,0,1) , (-1,1,1) are solutions to O and (2,-3,1) is solution to M.\nWe are asked to find general solution to O and M\nMy question is why i cant do a(1,0,1) + b(-1,1,1) which will be general solution of O then add the vector solution of M and together will be general solution of M",
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},
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"id": 1002530839856431200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 06:59:38",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1002530834965860500,
"channelId": 486844875632017400,
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}
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"id": 1002530996043919400,
"author_id": 598228037762285600,
"author_name": "Zanny",
"timestamp": "07/29/2022 07:00:15",
"content": "",
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{
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"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 07:15:16",
"content": "@Zanny Has your question been resolved?",
"attachments": [],
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"id": 1002535081245671600,
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"author_name": "Zanny",
"timestamp": "07/29/2022 07:16:29",
"content": "@Helpers",
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},
{
"id": 1002542632351846500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 07:46:29",
"content": "@Zanny Has your question been resolved?",
"attachments": [],
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{
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"name": "Zanny",
"discriminator": "0292",
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"id": 1002557756965933000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 08:46:35",
"content": "@Zanny Has your question been resolved?",
"attachments": [],
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{
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"name": "Zanny",
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"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 10:46:42",
"content": "@Zanny Has your question been resolved?",
"attachments": [],
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"name": "Zanny",
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"id": 1002588050293006500,
"author_id": 598228037762285600,
"author_name": "Zanny",
"timestamp": "07/29/2022 10:46:58",
"content": ".close",
"attachments": [],
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},
{
"id": 1002588052008485000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 10:46:58",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
4c11540338ce41fba8a6be3048d0fed4
|
197,501 |
[
{
"id": 1002588304513962000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 10:47:58",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002590614325575700,
"author_id": 756626021087838300,
"author_name": "papaya",
"timestamp": "07/29/2022 10:57:09",
"content": "hi",
"attachments": [],
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},
{
"id": 1002590615994908700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 10:57:10",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1002590614325575700,
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}
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{
"id": 1002591386387877900,
"author_id": 260975264987611140,
"author_name": "gmod",
"timestamp": "07/29/2022 11:00:13",
"content": "hi",
"attachments": [],
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},
{
"id": 1002591399604146200,
"author_id": 260975264987611140,
"author_name": "gmod",
"timestamp": "07/29/2022 11:00:16",
"content": "what's your question",
"attachments": [],
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},
{
"id": 1002594390012870700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 11:12:09",
"content": "@papaya Has your question been resolved?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002598165452705800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 11:27:10",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
52088eaa2eee40b5934706f1832a9a7a
|
197,502 |
[
{
"id": 1002598419006771200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 11:28:10",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1002601766682116200,
"author_id": 252669593317933060,
"author_name": "sidney",
"timestamp": "07/29/2022 11:41:28",
"content": "This right ?",
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{
"id": 1002601770817683600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 11:41:29",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1002602178105581700,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/29/2022 11:43:06",
"content": "why'd you do 180 - 100?",
"attachments": [],
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},
{
"id": 1002602284678660200,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/29/2022 11:43:32",
"content": "100 degrees counts for that whole angle",
"attachments": [],
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},
{
"id": 1002602330694353000,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/29/2022 11:43:43",
"content": "so you dont know if N is 80 by doing that",
"attachments": [],
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},
{
"id": 1002602516510416900,
"author_id": 252669593317933060,
"author_name": "sidney",
"timestamp": "07/29/2022 11:44:27",
"content": "Ohh",
"attachments": [],
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{
"id": 1002602649717317800,
"author_id": 252669593317933060,
"author_name": "sidney",
"timestamp": "07/29/2022 11:44:59",
"content": "So then what should I do",
"attachments": [],
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},
{
"id": 1002602865442963500,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/29/2022 11:45:50",
"content": "well you have two sides and 1 angle",
"attachments": [],
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},
{
"id": 1002602928357527600,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/29/2022 11:46:05",
"content": "seems like this is a proof for the law of sins",
"attachments": [],
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},
{
"id": 1002603125795979400,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/29/2022 11:46:52",
"content": "so $sin(100)/20 = sin(r)/9$",
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},
{
"id": 1002603136269160600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/29/2022 11:46:55",
"content": "there are multiple ways to approach this",
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},
{
"id": 1002603159237165200,
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"timestamp": "07/29/2022 11:47:00",
"content": ":catThink: law of cosine+herons formula",
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},
{
"id": 1002603225704300500,
"author_id": 909734400990785500,
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"timestamp": "07/29/2022 11:47:16",
"content": "is one u can do it",
"attachments": [],
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},
{
"id": 1002603230846525600,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/29/2022 11:47:17",
"content": "idk how to use this damn bot lol",
"attachments": [],
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},
{
"id": 1002603265118191600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/29/2022 11:47:25",
"content": "well you have an angle so you don't really need herons",
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},
{
"id": 1002603324786360300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/29/2022 11:47:40",
"content": "**Karter**",
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"id": 1002603415769198700,
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"author_name": "ramonov",
"timestamp": "07/29/2022 11:48:01",
"content": "what's r",
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},
{
"id": 1002603440968585200,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/29/2022 11:48:07",
"content": "you can solve for r",
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"id": 1002603457708036200,
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"author_name": "Karter",
"timestamp": "07/29/2022 11:48:11",
"content": "its a ratio",
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"id": 1002603477878440000,
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"author_name": "ramonov",
"timestamp": "07/29/2022 11:48:16",
"content": "no",
"attachments": [],
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},
{
"id": 1002603504604561500,
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"author_name": "ramonov",
"timestamp": "07/29/2022 11:48:22",
"content": "that doesn't make sense",
"attachments": [],
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},
{
"id": 1002603521394356200,
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"author_name": "Karter",
"timestamp": "07/29/2022 11:48:26",
"content": "wdym no lol",
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{
"id": 1002603549143879800,
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"author_name": "ramonov",
"timestamp": "07/29/2022 11:48:33",
"content": "wdym by r is a ratio",
"attachments": [],
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},
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"id": 1002603584292147200,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/29/2022 11:48:41",
"content": "there's two fractions that equal each other and one variable",
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},
{
"id": 1002603627552198800,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/29/2022 11:48:52",
"content": "how is this unsolvable using inverse trig functions",
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"id": 1002603661383446500,
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"author_name": "ramonov",
"timestamp": "07/29/2022 11:49:00",
"content": "yeh...but why are you using r",
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},
{
"id": 1002603681188942000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/29/2022 11:49:05",
"content": "where is r coming from",
"attachments": [],
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},
{
"id": 1002603718727966800,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/29/2022 11:49:14",
"content": "because thats the variable from the picture.....",
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},
{
"id": 1002603845572120700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/29/2022 11:49:44",
"content": "don't know what you're looking at, but i don't see any \"r\" in the pic",
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},
{
"id": 1002603927415562400,
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"author_name": "Karter",
"timestamp": "07/29/2022 11:50:03",
"content": "",
"attachments": [
{
"id": 1002603927117779000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1002603927117778944/Screenshot_20220729-114951.png",
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"id": 1002603967718629400,
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"author_name": "Karter",
"timestamp": "07/29/2022 11:50:13",
"content": "ah damn Im you're right",
"attachments": [],
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},
{
"id": 1002604063562682400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/29/2022 11:50:36",
"content": "that's a capital P",
"attachments": [],
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},
{
"id": 1002604078951567400,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/29/2022 11:50:39",
"content": "okay so r is P",
"attachments": [],
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},
{
"id": 1002604121204990000,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "07/29/2022 11:50:49",
"content": "not enough",
"attachments": [],
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"id": 1002604132445737100,
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"timestamp": "07/29/2022 11:50:52",
"content": "P is a point",
"attachments": [],
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},
{
"id": 1002604165064826900,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/29/2022 11:51:00",
"content": "😭",
"attachments": [],
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},
{
"id": 1002604178251714700,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "07/29/2022 11:51:03",
"content": "not a scalar quantity",
"attachments": [],
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},
{
"id": 1002604493986341000,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/29/2022 11:52:18",
"content": "I dont really know what you want me to write",
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},
{
"id": 1002604505126408300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/29/2022 11:52:21",
"content": "well in this context people don't mind that much\nP could be used to refer to both the point and angle",
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{
"id": 1002604552098422900,
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"author_name": "ramonov",
"timestamp": "07/29/2022 11:52:32",
"content": "$\\angle P$ if you insist",
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},
{
"id": 1002604554354970800,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/29/2022 11:52:33",
"content": "Hopefully they get the *point* so to speak",
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},
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"id": 1002604563674705900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/29/2022 11:52:35",
"content": "**ℝamonov**",
"attachments": [
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"id": 1002604622709534700,
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"timestamp": "07/29/2022 11:52:49",
"content": "that confuses me alot tho",
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"id": 1002604723804831700,
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"author_name": "ramonov",
"timestamp": "07/29/2022 11:53:13",
"content": "well when writing sin(P) the intentions are pretty clear",
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"id": 1002604870152499300,
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"author_name": "sidney",
"timestamp": "07/29/2022 11:53:48",
"content": "P is a point",
"attachments": [],
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},
{
"id": 1002604925244682200,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/29/2022 11:54:01",
"content": "do you understand this *point* tho",
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"id": 1002605061324673000,
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"timestamp": "07/29/2022 11:54:34",
"content": "well ya but its stilll not a actual notation so i dont like it",
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"id": 1002605181491482800,
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"timestamp": "07/29/2022 11:55:02",
"content": ":catThink: and i prefer cross check",
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"author_name": "ramonov",
"timestamp": "07/29/2022 11:55:04",
"content": "are you implying that you have an issue with how the sine and cosine laws are presented",
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"author_name": "Karter",
"timestamp": "07/29/2022 11:55:05",
"content": "did you try solving for for the angle yet?",
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"id": 1002605240601813000,
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"timestamp": "07/29/2022 11:55:16",
"content": "if u are saying to me no",
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"timestamp": "07/29/2022 11:55:25",
"content": "this is the same thing",
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"id": 1002605290908299300,
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"author_name": "sidney",
"timestamp": "07/29/2022 11:55:28",
"content": "I mean , I was thinking she was asking to solve mp but no it prolly isn’t",
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"id": 1002605432210206700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/29/2022 11:56:02",
"content": "if you don't have issues with stuff like cos(C) in the cosine law, you shouldn't have any qualms with sin(P) here",
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"id": 1002605449650118700,
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"timestamp": "07/29/2022 11:56:06",
"content": "i am just saying sin(P) is a bad notation its really sin(<MPN)",
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"timestamp": "07/29/2022 11:56:17",
"content": "you can get there by solving for the angles first",
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"timestamp": "07/29/2022 11:57:07",
"content": "i dont use cos(C) in cosine law",
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"timestamp": "07/29/2022 11:57:56",
"content": "anyways notation doesnt matter that much as long as we can solve",
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"author_name": "ramonov",
"timestamp": "07/29/2022 11:58:07",
"content": "anyway, pedantry aside\nyou can apply law of sines / sine rule to determine <P, or <MPN\nand the consider angle sums properly to determine <N or <MNP\nfollowed by right triangle trig to determine the height",
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"author_name": "sidney",
"timestamp": "07/29/2022 11:59:01",
"content": "You can apply both laws ?",
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"author_name": "ramonov",
"timestamp": "07/29/2022 11:59:39",
"content": "law of sines, sine law, sine rule",
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"id": 1002606400612081700,
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"author_name": "ramonov",
"timestamp": "07/29/2022 11:59:53",
"content": "refer to the same thing",
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},
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"id": 1002606547706335400,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/29/2022 12:00:28",
"content": "what does your work look like so far",
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"author_name": "sidney",
"timestamp": "07/29/2022 12:01:23",
"content": "I was working on other questions so that in the end I can work on that one",
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"author_name": "ramonov",
"timestamp": "07/29/2022 12:01:38",
"content": "alternatively you could apply law of cosines / cosine rule (again same thing, different name)\nto determine |MP|\nand then consider area of a triangle in two different ways to determine the height",
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},
{
"id": 1002610555380568000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 12:16:24",
"content": "@sidney Has your question been resolved?",
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"id": 1002614330497437700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 12:31:24",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
a47bd4e6fdf4459297b7268b9e1a22e4
|
197,503 |
[
{
"id": 1002614585553080300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 12:32:24",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002619079288426600,
"author_id": 149652281787154430,
"author_name": "Riz",
"timestamp": "07/29/2022 12:50:16",
"content": "checking my solutions for confirmation",
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"id": 1002619081045844100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 12:50:16",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
"messageId": 1002619079288426600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1002621017459527700,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "07/29/2022 12:57:58",
"content": "You ignored draws in A",
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},
{
"id": 1002621190742999200,
"author_id": 585863267084402700,
"author_name": "BartekChom",
"timestamp": "07/29/2022 12:58:39",
"content": "Yes. Besides because of strange rules (at least two wins) two draws mean no champion.",
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"mentions": [],
"reference": null
},
{
"id": 1002622329953730700,
"author_id": 149652281787154430,
"author_name": "Riz",
"timestamp": "07/29/2022 13:03:11",
"content": "sorry am i right or wrnog?",
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"reference": null
},
{
"id": 1002622375055085700,
"author_id": 149652281787154430,
"author_name": "Riz",
"timestamp": "07/29/2022 13:03:22",
"content": "oh i see",
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"reference": null
},
{
"id": 1002624851053387900,
"author_id": 149652281787154430,
"author_name": "Riz",
"timestamp": "07/29/2022 13:13:12",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002624852726907000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 13:13:12",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
5313171a03b443be8177941783bac28e
|
197,504 |
[
{
"id": 959286728890417200,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/31/2022 23:02:58",
"content": "Integral domain? Every field is an integral domain",
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},
{
"id": 959286733005013000,
"author_id": 307070375735459840,
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"timestamp": "03/31/2022 23:02:59",
"content": "Ah",
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},
{
"id": 959319899254177800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 01:14:47",
"content": "Available help channel!",
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"reference": null
},
{
"id": 959330676597989400,
"author_id": 524763288597168100,
"author_name": "Ernerd",
"timestamp": "04/01/2022 01:57:36",
"content": "",
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"content": "Pinned a message.",
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"author_name": "Ernerd",
"timestamp": "04/01/2022 01:58:00",
"content": "Use other channel pls",
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},
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"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 01:58:03",
"content": "pls go somewhere else @Deleted User",
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"id": 959330965212266500,
"author_id": 524763288597168100,
"author_name": "Ernerd",
"timestamp": "04/01/2022 01:58:45",
"content": "My answer sheet says my answer is not correct",
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{
"id": 959331018970628100,
"author_id": 524763288597168100,
"author_name": "Ernerd",
"timestamp": "04/01/2022 01:58:58",
"content": "Is there any step should I add",
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"id": 959331319505100800,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:00:10",
"content": "The angle $\\theta$ should first be represented in degrees",
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},
{
"id": 959331330812948500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/01/2022 02:00:12",
"content": "**sunflame**",
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"timestamp": "04/01/2022 02:00:43",
"content": "The area, 50.2 $cm^2$, equals to $\\pi r^2 \\frac{\\theta}{360}$",
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"id": 959331468486783000,
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"author_name": "Ernerd",
"timestamp": "04/01/2022 02:00:45",
"content": "Convert rad to degree first right",
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},
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"id": 959331469938020400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/01/2022 02:00:45",
"content": "**sunflame**",
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"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:01:46",
"content": "Which, for the value $r=7$ solves to approximately $\\theta=117.39$",
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"id": 959331762830446600,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:01:55",
"content": "ah yes",
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{
"id": 959331806367346700,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:02:06",
"content": "2",
"attachments": [],
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},
{
"id": 959331840076968000,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:02:14",
"content": "`2'",
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},
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"id": 959331928023138300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/01/2022 02:02:35",
"content": "**sunflame**",
"attachments": [
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"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:02:46",
"content": ",w 117.39 deg to rad",
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},
{
"id": 959331984671404000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/01/2022 02:02:48",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
{
"id": 959332013838590000,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:02:55",
"content": "there you go",
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},
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"author_name": "Ernerd",
"timestamp": "04/01/2022 02:02:58",
"content": "",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/959332022545952788/20220401_140214.jpg",
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"id": 959332026429866000,
"author_id": 524763288597168100,
"author_name": "Ernerd",
"timestamp": "04/01/2022 02:02:58",
"content": "No5",
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},
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"id": 959332026954154100,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:02:58",
"content": "you haven't made a mistake",
"attachments": [],
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},
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"id": 959332084302880800,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:03:12",
"content": "why 2π-2.049?",
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},
{
"id": 959332110567632900,
"author_id": 524763288597168100,
"author_name": "Ernerd",
"timestamp": "04/01/2022 02:03:18",
"content": "I have no clue",
"attachments": [],
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},
{
"id": 959332134521294800,
"author_id": 524763288597168100,
"author_name": "Ernerd",
"timestamp": "04/01/2022 02:03:24",
"content": "Any clue?",
"attachments": [],
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},
{
"id": 959332322036035700,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:04:09",
"content": "nah",
"attachments": [],
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},
{
"id": 959332438893559900,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:04:36",
"content": ",w the central angle in radians of a sector with radius 7 cm and area 50.2 square centimeters",
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},
{
"id": 959332454517338100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/01/2022 02:04:40",
"content": "Results provided by WolframAlpha",
"attachments": [],
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"reference": null
},
{
"id": 959332484569530400,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:04:47",
"content": "tf.",
"attachments": [],
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},
{
"id": 959332522653802600,
"author_id": 524763288597168100,
"author_name": "Ernerd",
"timestamp": "04/01/2022 02:04:56",
"content": "Wot",
"attachments": [],
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"reference": null
},
{
"id": 959332546401951700,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:05:02",
"content": "WAIT",
"attachments": [],
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"reference": null
},
{
"id": 959332626127274000,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:05:21",
"content": "It says \"Sector **OABC**\" not \"Sector **OAC**\"",
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},
{
"id": 959332729332301800,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:05:46",
"content": "So yes, it's 360º - 117.39º",
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},
{
"id": 959332741659394200,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:05:49",
"content": ",w 360-117.39",
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},
{
"id": 959332749494341600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/01/2022 02:05:51",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959332777214492700,
"author_id": 524763288597168100,
"author_name": "Ernerd",
"timestamp": "04/01/2022 02:05:57",
"content": "Ohhh",
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},
{
"id": 959332787402453000,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:06:00",
"content": ",w 242.61 deg to rad",
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},
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"id": 959332796948709400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/01/2022 02:06:02",
"content": "Results provided by WolframAlpha",
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},
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"id": 959332837008502800,
"author_id": 524763288597168100,
"author_name": "Ernerd",
"timestamp": "04/01/2022 02:06:11",
"content": "Oh sheesh",
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},
{
"id": 959332837893496800,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:06:12",
"content": "which equals the answer on your answer book",
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},
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"id": 959332881237438500,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:06:22",
"content": "remember",
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},
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"id": 959332929752948700,
"author_id": 524763288597168100,
"author_name": "Ernerd",
"timestamp": "04/01/2022 02:06:33",
"content": "Bruh I should have read it carefully lmao",
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},
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"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:06:43",
"content": "never, ever, ever assume the sector with the given angle $\\theta$ to be the sector you're being asked to calculate",
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"id": 959332978629148700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/01/2022 02:06:45",
"content": "**sunflame**",
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"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:06:51",
"content": "because in all math competitions 95% it's NOT",
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"id": 959333027467653100,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:06:57",
"content": "not because it's harder",
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"id": 959333044261621800,
"author_id": 892725065127444500,
"author_name": "hellblaze_skyfire",
"timestamp": "04/01/2022 02:07:01",
"content": "but because it's trickier",
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"timestamp": "04/01/2022 02:07:13",
"content": "Yea",
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},
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"author_name": "Ernerd",
"timestamp": "04/01/2022 02:07:21",
"content": "Aight thanks for the help my man",
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},
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"id": 959333168970874900,
"author_id": 524763288597168100,
"author_name": "Ernerd",
"timestamp": "04/01/2022 02:07:31",
"content": ".close",
"attachments": [],
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},
{
"id": 959333170237558800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 02:07:31",
"content": "Channel closed",
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}
] |
help-9
|
cdeb5f33961249efa05482708d6357e6
|
197,505 |
[
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"id": 1002671436281954400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 16:18:19",
"content": "Available help channel!",
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},
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"id": 1002690129770594400,
"author_id": 249890491775057920,
"author_name": "067",
"timestamp": "07/29/2022 17:32:36",
"content": "Hi guys",
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"author_id": 249890491775057920,
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"timestamp": "07/29/2022 17:32:52",
"content": "i was wondering how do i get the number the one next to the 48 ?",
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"id": 1002690259462664300,
"author_id": 249890491775057920,
"author_name": "067",
"timestamp": "07/29/2022 17:33:06",
"content": "do i divide the upper number to the bottom number",
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"id": 1002690308062064800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/29/2022 17:33:18",
"content": "what do you mean \"how do i get the number\"?",
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"id": 1002690344313434100,
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"timestamp": "07/29/2022 17:33:27",
"content": "like the 2/9",
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"id": 1002690379809833000,
"author_id": 386926430413520900,
"author_name": "David Goggins",
"timestamp": "07/29/2022 17:33:35",
"content": "Do you want it in decimal?",
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"id": 1002690409673265200,
"author_id": 249890491775057920,
"author_name": "067",
"timestamp": "07/29/2022 17:33:42",
"content": "Yeah",
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},
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"id": 1002690424479158300,
"author_id": 249890491775057920,
"author_name": "067",
"timestamp": "07/29/2022 17:33:46",
"content": "do i do this ?",
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"id": 1002690456557203600,
"author_id": 386926430413520900,
"author_name": "David Goggins",
"timestamp": "07/29/2022 17:33:53",
"content": "👍",
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"id": 1002690605228503200,
"author_id": 249890491775057920,
"author_name": "067",
"timestamp": "07/29/2022 17:34:29",
"content": "so it always go like this ?",
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"author_id": 386926430413520900,
"author_name": "David Goggins",
"timestamp": "07/29/2022 17:35:05",
"content": "Yes so it is 48 + 0.222^",
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"id": 1002690772891603100,
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"timestamp": "07/29/2022 17:35:09",
"content": "sorry if this is obvious",
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"timestamp": "07/29/2022 17:35:20",
"content": "okay tysm",
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"author_name": "David Goggins",
"timestamp": "07/29/2022 17:35:39",
"content": "If the question doesn’t ask for it in decimal you can leave it as 48 2/9",
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"id": 1002690933701222500,
"author_id": 249890491775057920,
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"timestamp": "07/29/2022 17:35:47",
"content": "ok",
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"id": 1002690937421562000,
"author_id": 386926430413520900,
"author_name": "David Goggins",
"timestamp": "07/29/2022 17:35:48",
"content": "As that is the most accurate way to put it",
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"timestamp": "07/29/2022 17:37:35",
"content": "so in this case, those numbers doesnt really matter right ? since the difference between them is a lot",
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"timestamp": "07/29/2022 17:38:32",
"content": "since its clearly positive",
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"timestamp": "07/29/2022 17:39:51",
"content": "if it's clear to you then yes",
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"timestamp": "07/29/2022 17:41:04",
"content": "okay thanks, just wanted to make sure",
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"timestamp": "07/29/2022 17:41:05",
"content": ".close",
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"id": 1002692268593008600,
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"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 17:41:05",
"content": "Channel closed",
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}
] |
help-9
|
dc19a2e513a645839bf9bdd4a65067bb
|
197,506 |
[
{
"id": 1002706065735045100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 18:35:55",
"content": "Available help channel!",
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},
{
"id": 1002707992891895900,
"author_id": 360857322496458750,
"author_name": "SilberSeele",
"timestamp": "07/29/2022 18:43:34",
"content": "How is $Z^*_p$ with p prime defined?",
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},
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"id": 1002707995026784400,
"author_id": 805217272087838700,
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"content": "Pinned a message.",
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"id": 1002708002358444000,
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"timestamp": "07/29/2022 18:43:37",
"content": "**SilberSeele**",
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"author_id": 938972382813618200,
"author_name": "Ksinacnac",
"timestamp": "07/29/2022 18:43:49",
"content": "can someone answer this",
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},
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"id": 1002708451144769500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/29/2022 18:45:24",
"content": "where did you see this from",
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"timestamp": "07/29/2022 18:46:25",
"content": "A generator p of the q-order subgroup of $Z^*_p$ is selected. x $Z_p$ is selected....",
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"id": 1002708720976932900,
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"timestamp": "07/29/2022 18:46:28",
"content": "**SilberSeele**",
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"id": 1002708799792087000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/29/2022 18:46:47",
"content": "it'll be the group of units of the ring (more specifically rield) Z_p",
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"id": 1002708871170764900,
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"timestamp": "07/29/2022 18:47:04",
"content": "which bc p is prime is just Z_p \\\\{0}",
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"id": 1002710140870480000,
"author_id": 360857322496458750,
"author_name": "SilberSeele",
"timestamp": "07/29/2022 18:52:07",
"content": "Why the * tho?",
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"id": 1002710144469188600,
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"content": "",
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"id": 1002710226992115700,
"author_id": 182179228840755200,
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"timestamp": "07/29/2022 18:52:27",
"content": "if you have a ring R",
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"timestamp": "07/29/2022 18:52:35",
"content": "the group of units of R can be denoted R*",
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"id": 1002710292377129000,
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"timestamp": "07/29/2022 18:52:43",
"content": "its just all elements that have a multiplicative inverse",
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"timestamp": "07/29/2022 18:53:06",
"content": "ahh gotcha",
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"timestamp": "07/29/2022 18:53:08",
"content": "thanks",
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},
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"timestamp": "07/29/2022 18:53:14",
"content": ".close",
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"content": "Channel closed",
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}
] |
help-9
|
a52f986ea5e14113989887f7dc6a042f
|
197,507 |
[
{
"id": 1002710677191938200,
"author_id": 805217272087838700,
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"timestamp": "07/29/2022 18:54:14",
"content": "Available help channel!",
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},
{
"id": 1002715838404624500,
"author_id": 761002932870185000,
"author_name": "Blyvs",
"timestamp": "07/29/2022 19:14:45",
"content": "is this asking me to find the derivative?",
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"timestamp": "07/29/2022 19:14:45",
"content": "Pinned a message.",
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"timestamp": "07/29/2022 19:15:00",
"content": "yes",
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"id": 1002715932390588500,
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"timestamp": "07/29/2022 19:15:07",
"content": "it's called leibniz notation",
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"timestamp": "07/29/2022 19:15:54",
"content": "gotcha ty",
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"content": ".close",
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"content": "Channel closed",
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}
] |
help-9
|
0185b808bbd840f99679f98db387f9ed
|
197,508 |
[
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"author_id": 891066800941436900,
"author_name": "TactfulMirror15",
"timestamp": "07/29/2022 19:18:08",
"content": "Never mind, it's actually $2xe^x+2e^x+3sec(x)tan(x)$",
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"timestamp": "07/29/2022 19:18:34",
"content": "**TactfulMirror15**",
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"content": "!15m",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 19:18:57",
"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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"id": 1002718363274989600,
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"timestamp": "07/29/2022 19:24:47",
"content": "Available help channel!",
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"author_name": "xамза",
"timestamp": "07/29/2022 19:30:11",
"content": "I",
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"timestamp": "07/29/2022 19:30:11",
"content": "Pinned a message.",
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"author_name": "xамза",
"timestamp": "07/29/2022 19:30:17",
"content": "I need help with this pls",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 19:42:36",
"content": "$$200000= 120000e^{5k}$$",
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"author_name": "TeXit",
"timestamp": "07/29/2022 19:42:38",
"content": "**Umbraleviathan**",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 19:42:40",
"content": "You have this right?",
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"id": 1002722894226411500,
"author_id": 555336017339482100,
"author_name": "xамза",
"timestamp": "07/29/2022 19:42:47",
"content": "Yes",
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"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 19:44:21",
"content": "$$\\begin{align*}\n200000 &= 120000e^{5k} \\\\\n\\frac{5}{3} &= e^{5k} \\\\\n\\ln{\\left(\\frac{5}{3}\\right)}&=5k \\\\\n\\frac{1}{5}\\ln\\left(\\frac{5}{3}\\right) &= k\n\\end{align*}$$",
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"id": 1002723324893339800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 19:44:30",
"content": "hold on",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 19:44:35",
"content": "yeah",
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"id": 1002723359689289900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 19:44:38",
"content": "you have the second line?",
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"id": 1002723403800780800,
"author_id": 555336017339482100,
"author_name": "xамза",
"timestamp": "07/29/2022 19:44:49",
"content": "Yeah this is where I’m stuck",
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"id": 1002723469001236600,
"author_id": 555336017339482100,
"author_name": "xамза",
"timestamp": "07/29/2022 19:45:04",
"content": "Wdym second line?",
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"id": 1002723543831810200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 19:45:22",
"content": "the 5/3 = e^(5k)",
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"id": 1002723585196048400,
"author_id": 555336017339482100,
"author_name": "xамза",
"timestamp": "07/29/2022 19:45:32",
"content": "Yeah",
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},
{
"id": 1002723633099198600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 19:45:43",
"content": "alright yeah so whats the inverse of exponentials",
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"id": 1002723833574334500,
"author_id": 555336017339482100,
"author_name": "xамза",
"timestamp": "07/29/2022 19:46:31",
"content": "Loge^(5k)?",
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"id": 1002723923110133800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 19:46:52",
"content": "well it is a logarithm",
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"id": 1002723940482949100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 19:46:57",
"content": "but its gonna have the base",
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"id": 1002723953866969200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 19:47:00",
"content": "log base e is ln",
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"id": 1002724019247796400,
"author_id": 555336017339482100,
"author_name": "xамза",
"timestamp": "07/29/2022 19:47:15",
"content": "So ln(5k)?",
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"id": 1002724281907683500,
"author_id": 555336017339482100,
"author_name": "xамза",
"timestamp": "07/29/2022 19:48:18",
"content": "Alr",
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"id": 1002724343027085400,
"author_id": 555336017339482100,
"author_name": "xамза",
"timestamp": "07/29/2022 19:48:33",
"content": "So we put ln (5/3) into a calc",
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"id": 1002724364665503900,
"author_id": 555336017339482100,
"author_name": "xамза",
"timestamp": "07/29/2022 19:48:38",
"content": "Then solve for k?",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 19:48:55",
"content": "well",
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"id": 1002724640336126100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/29/2022 19:49:43",
"content": "**Umbraleviathan**\nCompile Error! Click the :errors: reaction for more information.\n(You may edit your message to recompile.)",
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"id": 1002724786411151500,
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"author_name": "xамза",
"timestamp": "07/29/2022 19:50:18",
"content": "Ohh right",
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"id": 1002724881709940900,
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"author_name": "xамза",
"timestamp": "07/29/2022 19:50:41",
"content": "Makes sense now",
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"author_id": 555336017339482100,
"author_name": "xамза",
"timestamp": "07/29/2022 19:50:42",
"content": "Thx",
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},
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"id": 1002725079504920600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/29/2022 19:51:28",
"content": "np",
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"id": 1002728471652483200,
"author_id": 841369843932594200,
"author_name": "abomination",
"timestamp": "07/29/2022 20:04:57",
"content": "can you help me with 20 questions pls",
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},
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"id": 1002728501293625500,
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"timestamp": "07/29/2022 20:05:04",
"content": "@xамза",
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"timestamp": "07/29/2022 20:10:04",
"content": "@xамза Has your question been resolved?",
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"timestamp": "07/29/2022 20:25:04",
"content": "Channel closed",
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}
] |
help-9
|
b46b04cc7e2d4e4f899908de27a968a9
|
197,509 |
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"timestamp": "07/29/2022 21:32:39",
"content": "Available help channel!",
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"timestamp": "07/29/2022 21:57:27",
"content": "I only need help with c",
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"id": 1002757558651596900,
"author_id": 795717786709000200,
"author_name": "秋水",
"timestamp": "07/29/2022 22:00:32",
"content": "Where are you confused?",
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"author_name": "秋水",
"timestamp": "07/29/2022 22:03:05",
"content": "you can write $T_{3k}$ and $T_k$ with respect to $k$, then simplify $T_{3k}=17 T_k$",
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"timestamp": "07/29/2022 22:03:08",
"content": "**秋水**",
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"timestamp": "07/29/2022 22:10:43",
"content": "I don't understand",
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"author_name": "秋水",
"timestamp": "07/29/2022 22:11:43",
"content": "from b, you have known $T_n =n^2-6n+10$, right?",
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"timestamp": "07/29/2022 22:11:56",
"content": "**秋水**",
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"timestamp": "07/29/2022 22:12:29",
"content": "Yah",
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"author_name": "秋水",
"timestamp": "07/29/2022 22:13:17",
"content": "then you know\n$T_k = k^2-6k+10$ and $T_{3k} = (3k)^2-6\\times(3k)+10$",
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"timestamp": "07/29/2022 22:13:20",
"content": "**秋水**",
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"timestamp": "07/29/2022 22:13:54",
"content": "Oh i think i understand, lemme try",
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"timestamp": "07/29/2022 22:19:18",
"content": "Wrong answer gotten tho",
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"author_name": "Sharon Ho",
"timestamp": "07/29/2022 22:20:13",
"content": "I got 2k square minus 28k plus 160 divide 3",
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"timestamp": "07/29/2022 22:20:59",
"content": "show your work",
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"timestamp": "07/29/2022 22:21:36",
"content": "you can simplify $T_{3k}-17 T_{k}=0$",
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"timestamp": "07/29/2022 22:21:39",
"content": "**秋水**",
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"timestamp": "07/29/2022 22:25:49",
"content": "$17k^2-9 k^2=8k^2$, not $6k^2$",
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"timestamp": "07/29/2022 22:26:01",
"content": "**秋水**",
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"author_name": "Sharon Ho",
"timestamp": "07/29/2022 22:26:27",
"content": "Oh lol my bad cockeye",
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"id": 1002764310579261400,
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"author_name": "Sharon Ho",
"timestamp": "07/29/2022 22:27:22",
"content": "Thanks",
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},
{
"id": 1002764320121303000,
"author_id": 934658525941096400,
"author_name": "Sharon Ho",
"timestamp": "07/29/2022 22:27:24",
"content": "Got it",
"attachments": [],
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},
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"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 22:42:24",
"content": "@Sharon Ho Has your question been resolved?",
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"timestamp": "07/29/2022 22:42:40",
"content": "Channel closed",
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}
] |
help-9
|
b5822ed1da27477e871474078cf223f9
|
197,510 |
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"id": 1002768413594230900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/29/2022 22:43:40",
"content": "Available help channel!",
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"id": 1002769632941310000,
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"author_name": "Bug",
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"content": "would the answer to the question be something along the lines of \"No it is not impossible because you can change the radicals to exponential form and take it from there\" kinda?",
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"author_name": "caden_the_cadet",
"timestamp": "07/29/2022 22:54:20",
"content": "Well, can you write this equation out as a product ?",
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"id": 1002771314425212900,
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"content": "What does that mean",
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"author_name": "Bug",
"timestamp": "07/29/2022 22:55:26",
"content": "i need that dumbed down",
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"id": 1002771524027166800,
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"timestamp": "07/29/2022 22:56:01",
"content": "like genuinely",
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"author_id": 826613001914024000,
"author_name": "Bug",
"timestamp": "07/29/2022 22:56:12",
"content": "product as in answer?",
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"timestamp": "07/29/2022 22:58:47",
"content": "define product",
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"timestamp": "07/29/2022 22:59:02",
"content": "as in two things multiplied",
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"timestamp": "07/29/2022 22:59:19",
"content": "oh",
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"id": 1002772444320379000,
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"author_name": "Bug",
"timestamp": "07/29/2022 22:59:41",
"content": "like for example 2 times sqrt of 3x?",
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"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/29/2022 23:00:32",
"content": "like x^5/x^1/2 could be written as the product (x^5)(x^(-1/2))",
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"id": 1002772809870741500,
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"timestamp": "07/29/2022 23:01:08",
"content": "alr give me a sec",
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"timestamp": "07/29/2022 23:06:10",
"content": "would the equation be equal to (y^(3/4))(y^(-1/2)) ?",
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"content": "Yes, and because the bases are the same, you can then add the two exponents",
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"timestamp": "07/29/2022 23:07:20",
"content": "okay. thank you",
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"timestamp": "07/29/2022 23:07:31",
"content": "i think i know the answer now",
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"timestamp": "07/29/2022 23:07:33",
"content": "👍🏻",
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"content": ".close",
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help-9
|
8d128b60c681431ca214d40fd1d63ecc
|
197,511 |
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"content": "Available help channel!",
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"timestamp": "07/29/2022 23:10:23",
"content": "How can I show its even for all + integers?",
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"id": 1002775364302549000,
"author_id": 182179228840755200,
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"timestamp": "07/29/2022 23:11:17",
"content": "have you been taught how to do induction?",
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"timestamp": "07/29/2022 23:11:53",
"content": "Yes",
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"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/29/2022 23:12:25",
"content": "But I haven’t done question like this, I’ve done divisibility tests and others but not this",
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"author_name": "ramonov",
"timestamp": "07/29/2022 23:12:45",
"content": "how much were you able to do so far?",
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"timestamp": "07/29/2022 23:13:14",
"content": "Im not sure how to start",
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"id": 1002776062620602500,
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"author_name": "ramonov",
"timestamp": "07/29/2022 23:14:04",
"content": "base case",
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"timestamp": "07/29/2022 23:14:16",
"content": "induction hypotheses",
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"timestamp": "07/29/2022 23:14:26",
"content": "same as all induction questions",
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"author_name": "Jun♾",
"timestamp": "07/29/2022 23:14:32",
"content": "Am I meant to set the expression equal to n or something?",
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"timestamp": "07/29/2022 23:14:42",
"content": "no",
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"timestamp": "07/29/2022 23:15:25",
"content": "Hmm",
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"timestamp": "07/29/2022 23:15:57",
"content": "the first few lines of induction questions are very similar",
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"timestamp": "07/29/2022 23:16:52",
"content": "So base case, so if n=2 then 34 is even",
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"timestamp": "07/29/2022 23:17:05",
"content": "no",
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"author_name": "ramonov",
"timestamp": "07/29/2022 23:17:21",
"content": "why are you using n=2 as the base case",
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"timestamp": "07/29/2022 23:17:43",
"content": "are you implying that 2 is the first positive integer?",
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"timestamp": "07/29/2022 23:27:01",
"content": "Ye",
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"author_name": "Jun♾",
"timestamp": "07/29/2022 23:27:19",
"content": "But then even n=1 works",
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"timestamp": "07/29/2022 23:27:35",
"content": "And n=0",
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"author_name": "Jun♾",
"timestamp": "07/29/2022 23:27:52",
"content": "Yh ok so n=0 then this results in a positive number",
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"timestamp": "07/29/2022 23:28:03",
"content": "If’",
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"author_name": "Jun♾",
"timestamp": "07/29/2022 23:28:19",
"content": "Now what would I do?",
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"id": 1002780529759899800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/29/2022 23:31:49",
"content": "why are you using n=0",
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"author_name": "ramonov",
"timestamp": "07/29/2022 23:32:37",
"content": "although 3^0 + 5^0 is even,\n0 isn't a positive integer so you shouldn't and don't need to consider it for what's being asked",
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"author_name": "ramonov",
"timestamp": "07/29/2022 23:33:07",
"content": "the base case would be for n=1 (only)",
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"timestamp": "07/29/2022 23:33:28",
"content": "anyway next would be the induction hypothesis",
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"timestamp": "07/29/2022 23:43:19",
"content": "@Jun♾ Has your question been resolved?",
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"author_name": "Jun♾",
"timestamp": "07/29/2022 23:50:26",
"content": "Ok I see",
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"id": 1002785335232696300,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/29/2022 23:50:54",
"content": "So what would I do in the induction hypothesis",
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{
"id": 1002785498818957300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/29/2022 23:51:33",
"content": "state your goal etc",
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},
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"id": 1002786015242637300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/29/2022 23:53:36",
"content": "to show if true for n=k\n\"write equation that represents this\"\nthen it is also true for n=k+1\n\"write an equation that represents that\"",
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"id": 1002786086315110400,
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"timestamp": "07/29/2022 23:53:53",
"content": "Ok",
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"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/29/2022 23:54:37",
"content": "So if n=k then 5^k+3^k= ?",
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"id": 1002786389525528700,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/29/2022 23:55:06",
"content": "What do I equate it to?",
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{
"id": 1002786407980482600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/29/2022 23:55:10",
"content": "2p",
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},
{
"id": 1002786445540479100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/29/2022 23:55:19",
"content": "generic even number",
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},
{
"id": 1002786446744240300,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/29/2022 23:55:19",
"content": "Why 2?",
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{
"id": 1002786540444983300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/29/2022 23:55:42",
"content": "> generic even number",
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},
{
"id": 1002786599513362400,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/29/2022 23:55:56",
"content": "Ok I see",
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},
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"id": 1002786622921785300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/29/2022 23:56:01",
"content": "(for integer p)",
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"id": 1002788428385099800,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:03:12",
"content": "Ok so I did this, ( I took integer m)",
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"author_name": "ramonov",
"timestamp": "07/30/2022 00:03:43",
"content": "no need to isolate 5^k",
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"id": 1002788605531537400,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:03:54",
"content": "Then what?",
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"id": 1002788637332746400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/30/2022 00:04:02",
"content": "just leave that part as is",
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"id": 1002788677077958800,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:04:11",
"content": "Why?",
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{
"id": 1002788758640414700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/30/2022 00:04:30",
"content": "because you don't need to do anything with it atm",
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"author_name": "Jun♾",
"timestamp": "07/30/2022 00:04:38",
"content": "Can’t I just do",
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"timestamp": "07/30/2022 00:04:42",
"content": "Ok sure",
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"author_name": "ramonov",
"timestamp": "07/30/2022 00:05:09",
"content": "and focus on what you're trying to show (which ideally you should clearly state)",
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"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:05:14",
"content": "Ok so now what would I do?",
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"author_name": "Jun♾",
"timestamp": "07/30/2022 00:05:15",
"content": "Sure",
"attachments": [],
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"author_name": "ramonov",
"timestamp": "07/30/2022 00:06:10",
"content": "i.e explicitly state you're trying to show that if above then\n5^(k+1) + 3^(k+1) = 2q",
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"id": 1002789338389676000,
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"author_name": "ramonov",
"timestamp": "07/30/2022 00:06:49",
"content": "then start with manipulating\n5^(k+1) + 3^(k+1)",
"attachments": [],
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"id": 1002789407704756400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/30/2022 00:07:05",
"content": "this = should have a question mark over it",
"attachments": [],
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"id": 1002789677021003900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/30/2022 00:08:09",
"content": "with the context of wording, it shouldn't be needed here imo",
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"id": 1002789848987484300,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:08:50",
"content": "I usually put the question mark in this step but ok",
"attachments": [],
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"id": 1002789972966912000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/30/2022 00:09:20",
"content": "without the words to go with it, then yes you should definitely use the ? over the =",
"attachments": [],
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"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:10:43",
"content": "So I separated that",
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"author_name": "Ann",
"timestamp": "07/30/2022 00:10:57",
"content": "might also do some good to consider $(5^{k+1}+3^{k+1})-(5^k+3^k)$ instead, but that's a personal thing of mine",
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"id": 1002790390463746200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/30/2022 00:11:00",
"content": "**Ann**",
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"author_name": "Jun♾",
"timestamp": "07/30/2022 00:11:32",
"content": "Interesting, ok",
"attachments": [],
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"id": 1002790677479948400,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:12:08",
"content": "So with the question where n=k, do I make 5^ k the subject and place it here?",
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},
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"id": 1002791098630025200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/30/2022 00:13:48",
"content": "i suppose its something that you could actually do now that you have a clear goal",
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"author_name": "ramonov",
"timestamp": "07/30/2022 00:14:12",
"content": "i prefer to do stuff like express the `5*5^k as 2*5^k + 3*5^k`",
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"id": 1002791527749271700,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:15:31",
"content": "Ok and I make 5^k and 3^k subject and insert in this expression?",
"attachments": [],
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},
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"id": 1002791631772188700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/30/2022 00:15:55",
"content": "wdym by and",
"attachments": [],
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},
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"id": 1002791786097422300,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:16:32",
"content": "wait not both mb just 5^k",
"attachments": [],
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},
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"id": 1002792227690533000,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:18:18",
"content": "Is this fine?",
"attachments": [
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"author_name": "ramonov",
"timestamp": "07/30/2022 00:19:33",
"content": "drop the = 2q in the way i described",
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},
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"id": 1002792689756029000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/30/2022 00:20:08",
"content": "...\n$$5\\cdot 5^k + 3\\cdot 3^k =5(2m-3^k) + 3\\cdot 3^k$$",
"attachments": [],
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"reference": null
},
{
"id": 1002792701357461500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/30/2022 00:20:10",
"content": "**ℝamonov**",
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"id": 1002792747637420000,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:20:22",
"content": "Ok",
"attachments": [],
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},
{
"id": 1002792757343039500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/30/2022 00:20:24",
"content": "= etc",
"attachments": [],
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},
{
"id": 1002792799571300500,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:20:34",
"content": "Question mark?",
"attachments": [],
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},
{
"id": 1002792904550522900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/30/2022 00:20:59",
"content": "there are multiple ways to structure/notate the work",
"attachments": [],
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},
{
"id": 1002792959982436400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/30/2022 00:21:12",
"content": "in this route, question mark isn't really needed",
"attachments": [],
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},
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"id": 1002792983575400400,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:21:18",
"content": "Ok",
"attachments": [],
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},
{
"id": 1002793016802693100,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:21:26",
"content": "Now what would I do",
"attachments": [],
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"reference": null
},
{
"id": 1002793097161351200,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:21:45",
"content": "Set 2m-3^k =L ?",
"attachments": [],
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},
{
"id": 1002793149053292700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/30/2022 00:21:57",
"content": "expand and/or simplify and/or manipulate until you explicitly get an integer multiple of 2",
"attachments": [],
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},
{
"id": 1002793227591626800,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:22:16",
"content": "Ok",
"attachments": [],
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},
{
"id": 1002793263108989000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/30/2022 00:22:24",
"content": "> Set 2m-3^k =L ?\nno, that doesn't really help",
"attachments": [],
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"reference": null
},
{
"id": 1002793441215922200,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:23:07",
"content": "How can I get an integer multiple of 2 by manipulating?",
"attachments": [],
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},
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"id": 1002794132416233500,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:25:52",
"content": "Wait actually",
"attachments": [],
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},
{
"id": 1002795171571847200,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:29:59",
"content": "Is this fine?",
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"id": 1002795377893834900,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:30:49",
"content": "Something feels sus to me, hmm",
"attachments": [],
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},
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"id": 1002795865796251800,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:32:45",
"content": "Ok",
"attachments": [],
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},
{
"id": 1002795912650829800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/30/2022 00:32:56",
"content": "you didn't simplify properly",
"attachments": [],
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},
{
"id": 1002795964714713100,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:33:09",
"content": "I see",
"attachments": [],
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},
{
"id": 1002796145623449700,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:33:52",
"content": "Where did I not simplify properly?",
"attachments": [],
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},
{
"id": 1002796316805583000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/30/2022 00:34:32",
"content": "first line",
"attachments": [],
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},
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"id": 1002796399471108100,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:34:52",
"content": "Ok",
"attachments": [],
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},
{
"id": 1002796419578593300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/30/2022 00:34:57",
"content": "where's the 7 coming from",
"attachments": [],
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},
{
"id": 1002796598113337500,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:35:40",
"content": "true",
"attachments": [],
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},
{
"id": 1002798208008868000,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:42:03",
"content": "Did I do something wrong here?",
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"id": 1002798643037864000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/30/2022 00:43:47",
"content": "didn't simplify properly",
"attachments": [],
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},
{
"id": 1002798801578360800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/30/2022 00:44:25",
"content": "-5 + 3 isn't -8",
"attachments": [],
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},
{
"id": 1002799085411119100,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:45:33",
"content": "But how is it -5",
"attachments": [],
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},
{
"id": 1002799396481683600,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:46:47",
"content": "Nvm",
"attachments": [],
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"reference": null
},
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"id": 1002799443520794600,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:46:58",
"content": "🤦♂️",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002800548971556900,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:51:22",
"content": "",
"attachments": [
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"id": 1002800751279616100,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:52:10",
"content": "Is this fine now?",
"attachments": [],
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},
{
"id": 1002801249479037000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/30/2022 00:54:09",
"content": "yeh",
"attachments": [],
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},
{
"id": 1002801319121256400,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:54:25",
"content": "Now what can I do",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002801372758020100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/30/2022 00:54:38",
"content": "= 2q since the stuff in [] is an integer",
"attachments": [],
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},
{
"id": 1002801803445936300,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:56:21",
"content": "Ok so this",
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"author_name": "Jun♾",
"timestamp": "07/30/2022 00:56:53",
"content": "Ok I know what to do now, thanks",
"attachments": [],
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},
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"id": 1002801977060773900,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "07/30/2022 00:57:02",
"content": ".close",
"attachments": [],
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},
{
"id": 1002801978709135500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 00:57:02",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
c76954d0211649908b28199802f482d3
|
197,512 |
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{
"id": 1002826640746893300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 02:35:02",
"content": "Available help channel!",
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},
{
"id": 1002849197403426800,
"author_id": 592413239921344500,
"author_name": "Maddii",
"timestamp": "07/30/2022 04:04:40",
"content": "Oki, sorry if this isnt the right place. Im not too smart so idk what field this is so ima send it here.\nSo I'm looking to get an equation for line, fourier. And I can find a bunch of stuff for like epicycle generation given an image/arbitrary shape. But I'm looking for a set of composite sines to give an approximation of an arbitrary line.\nI can find examples that have funky lines but no generator for them. So is this possible to, given an arbitrary line, generate a fourier series to approximate it?",
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"timestamp": "07/30/2022 04:04:41",
"content": "Pinned a message.",
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"content": "i guess it doesnt have to be fourier if theres another solution its just where my mind went",
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"content": "A line in a 2d space?",
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"content": "yes",
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"content": "Fourier series generates periodic functions",
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"content": "But if thats fine you could have a fourier serie that goes back and forth along the line",
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"content": "so like the 2nd image i sent shows a fourier series with a periodic pattern. however the period can be of arbitrary shape? like the 3rd image.",
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"content": "im just looking to see if i can get an equation of a line that will at some point approximate an arbitrary given line",
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"content": "what happens before and after can be discarded",
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"content": "That can be done",
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"content": "Does the line needs to be drawn at constant speed?",
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"content": "im not sure what you mean by that?",
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"content": "I guess you first image was an animation with a point that goes along the line",
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"content": "Do you want this point to have a constant speed or it doesnt matter",
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"content": "it doesnt matter, my goal is the equation that gives a line to approximate an arbitray one",
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"content": "its for glsl shader code my me to compare points to",
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"content": "for me to",
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"content": "or how to find the equation",
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"timestamp": "07/30/2022 04:21:29",
"content": "Well in that case you can have a fourier serie that draws a perfect line with 2 coefficients",
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"content": "Not even an approximation",
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"content": "You just need to make a sine that goes back and forth along the line",
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"content": "hmm one second ima make a drawing",
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"timestamp": "07/30/2022 04:25:37",
"content": "So like the black line is the goal, an arbitrary line, and the red line is tryna approximate it, before and after doesnt matter, I'm just after the equation for the red line",
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"timestamp": "07/30/2022 04:29:00",
"content": "Okaay i thought you wanted a straight line",
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"content": "mb",
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"timestamp": "07/30/2022 04:29:35",
"content": "So you need an array of points along that black line and you can generate a fourier serie that goes along those points",
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"timestamp": "07/30/2022 04:31:20",
"content": "okay, yeah, (my knowledge of fourier is ver smol 😐 😅 )",
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"content": "Check the videos of 3blue1brown on this topic its very good",
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"content": "I think it will help to understand what you are doing",
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"content": "Also there are available functions that compute fourier transform for you, check for fft2 you will probably find sth in your language",
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"content": "glsl is not feature rich 😅",
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"timestamp": "07/30/2022 04:35:59",
"content": "Yea but you want to calculate the fourier transform in glsl? Not sth that pass the coefficients to the shader?",
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"timestamp": "07/30/2022 04:36:16",
"content": "Oh right",
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"timestamp": "07/30/2022 04:36:17",
"content": "And im pretty sure you can find it even in glsl",
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"content": "I'll watch those 3blue1brown video/s and hop back if I'm still stuck",
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"timestamp": "07/30/2022 04:37:23",
"content": "should I close this in the mean time?",
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"id": 1002857584123986000,
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"timestamp": "07/30/2022 04:38:00",
"content": "Mmh yea i guess",
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"timestamp": "07/30/2022 04:38:10",
"content": "👍",
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"id": 1002857677203972200,
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"author_name": "Maddii",
"timestamp": "07/30/2022 04:38:22",
"content": ".close",
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},
{
"id": 1002857678739083400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 04:38:22",
"content": "Channel closed",
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}
] |
help-9
|
bf87f2482596455fbab07d67245c8602
|
197,513 |
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"content": "Available help channel!",
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"timestamp": "07/30/2022 05:41:33",
"content": "you need to invest some money so that after 5 years of 12% p.a. interest it becomes 800",
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"content": "but how much?",
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"content": "well you can write down an equation to solve for it",
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"content": "@Kohlemaennchen ???",
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"content": "let x be the amount you invest",
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"content": "how much will it become after 5 years at 12% p.a.?",
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"content": "I just think the theme of the task is funny",
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"content": "5x + 60?",
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"timestamp": "07/30/2022 05:43:06",
"content": "~~problem doesn't seem to say if it's simple or compound, but it's likely compound...~~",
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"content": "no",
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"content": "it is simple",
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"content": "ok then simple it is",
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"timestamp": "07/30/2022 05:43:43",
"content": "but 5x + 60 means \"the amount of money is quintupled and then you get an extra 60 gold thrown in\"",
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"content": "Stonks",
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"timestamp": "07/30/2022 05:44:04",
"content": "alright",
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"content": "do you know how to calculate simple interest",
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"content": "yes",
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"timestamp": "07/30/2022 05:44:52",
"content": "ok then use that here",
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"timestamp": "07/30/2022 05:45:23",
"content": "12/100 x 800/1 = 96",
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"timestamp": "07/30/2022 05:45:37",
"content": "......................................................",
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"content": "no",
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"timestamp": "07/30/2022 05:45:46",
"content": "then",
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"timestamp": "07/30/2022 05:46:00",
"content": "ok so what letter do you want to use to denote the initial investment",
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"timestamp": "07/30/2022 05:46:06",
"content": "I",
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"timestamp": "07/30/2022 05:46:07",
"content": "i went with x but maybe you would like another letter",
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"timestamp": "07/30/2022 05:46:08",
"content": "ok",
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"timestamp": "07/30/2022 05:46:10",
"content": "`I`",
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"id": 1002874856003616800,
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"timestamp": "07/30/2022 05:46:38",
"content": "in terms of `I`, what is the simple interest gained after 1 year if the rate is 12% per annum?",
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"timestamp": "07/30/2022 05:46:58",
"content": "96",
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"timestamp": "07/30/2022 05:47:25",
"content": "so it's always 96 gold, no matter how much you invested initially?",
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"author_name": "Ann",
"timestamp": "07/30/2022 05:47:48",
"content": "whether you invest 1 gold piece or a million, the interest will always be exactly ninety-six gold pieces?",
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},
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"id": 1002875203392655400,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "07/30/2022 05:48:01",
"content": "no",
"attachments": [],
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},
{
"id": 1002875231821635600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/30/2022 05:48:07",
"content": "then why say it is",
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},
{
"id": 1002875288931270800,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "07/30/2022 05:48:21",
"content": "^^",
"attachments": [],
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},
{
"id": 1002875491201581200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/30/2022 05:49:09",
"content": "but that's not what i'm asking you at all",
"attachments": [],
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},
{
"id": 1002875521912279000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/30/2022 05:49:16",
"content": "i'm not asking you what 12% of 800 is",
"attachments": [],
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},
{
"id": 1002875616674185300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/30/2022 05:49:39",
"content": "i'm asking you what the 1-year interest on our **initial** investment (which you denoted `I`) is",
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},
{
"id": 1002875723704442900,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "07/30/2022 05:50:05",
"content": "I am not sure what our initial investment is",
"attachments": [],
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},
{
"id": 1002875797289320400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/30/2022 05:50:22",
"content": "it's unknown as of yet",
"attachments": [],
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"reference": null
},
{
"id": 1002875831087005700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/30/2022 05:50:30",
"content": "that's why we are using a letter to denote it",
"attachments": [],
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},
{
"id": 1002875857699872800,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "07/30/2022 05:50:37",
"content": "Ok.",
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},
{
"id": 1002875976750989300,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "07/30/2022 05:51:05",
"content": "Is it 800/5 = 160?",
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},
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"id": 1002876117788672100,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "07/30/2022 05:51:39",
"content": "nope",
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},
{
"id": 1002876590587379700,
"author_id": 967985946677092400,
"author_name": "C.J.",
"timestamp": "07/30/2022 05:53:31",
"content": ".close",
"attachments": [],
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},
{
"id": 1002876592298655900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 05:53:32",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
853f59193f124b7596649ecf325f1578
|
197,514 |
[
{
"id": 1002876752852435000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/30/2022 05:54:10",
"content": "...so you don't want any more help? ok.",
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"reference": null
},
{
"id": 1002883998961385600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 06:22:58",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1002885353427968000,
"author_id": 732106951475069000,
"author_name": "Clover",
"timestamp": "07/30/2022 06:28:20",
"content": "I need help to calculate the remainder: 219^222 (mod 348). I tried to do it but my way is too long (I set (219^2)^111 = 285^111... and keep reduce the power number), anyone has any other ways? (not binary method)",
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},
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"id": 1002885355562872800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 06:28:21",
"content": "Pinned a message.",
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{
"id": 1002886869387857900,
"author_id": 189001310937284600,
"author_name": "Tom",
"timestamp": "07/30/2022 06:34:22",
"content": "I'm not sure it's the best method but just observing you don't need to factor the exponent (exactly) to reduce like that",
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},
{
"id": 1002887063659630700,
"author_id": 189001310937284600,
"author_name": "Tom",
"timestamp": "07/30/2022 06:35:08",
"content": "for example 219^222 = (219^4)^55 * 219^2 could also be used to simplify it",
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},
{
"id": 1002887360050118700,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:36:19",
"content": "try 219^222 mods 4 3 29 individually?",
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},
{
"id": 1002887891053191200,
"author_id": 732106951475069000,
"author_name": "Clover",
"timestamp": "07/30/2022 06:38:25",
"content": "can you show me the property for this? I think I haven't learnt it yet or I probably miss something",
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"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:38:52",
"content": "what im saying is you consider mod 3, mod 4 and mod 29 as 222 = 3x4x29",
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"id": 1002888086633578500,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:39:12",
"content": "so the general way of doing this is for example you have x = a mod 3",
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"id": 1002888116429914200,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:39:19",
"content": "=> x = 3k+a",
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"id": 1002888200815124500,
"author_id": 732106951475069000,
"author_name": "Clover",
"timestamp": "07/30/2022 06:39:39",
"content": "😂 I just do calculator 3x4x29 = 348",
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},
{
"id": 1002888205336592400,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:39:40",
"content": "then instead of considering x mod 4 afterwards, you consider 3k+a mod 4",
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},
{
"id": 1002888234084335600,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:39:47",
"content": "what",
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},
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"id": 1002888247535489000,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:39:50",
"content": "one seocond",
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"id": 1002888326166102000,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:40:09",
"content": "yea yea",
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"id": 1002888352061722800,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:40:15",
"content": "348 not 222 sorry",
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{
"id": 1002888398329090000,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:40:26",
"content": "we are considering mod 348",
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"id": 1002888422807060500,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:40:32",
"content": "so factor 348",
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"id": 1002888498862374900,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:40:50",
"content": "29 is a prime so perhaps we may simplify by using fermat's little theorem",
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"id": 1002888627216470000,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:41:21",
"content": "mod 3 mod 4 should be easy",
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},
{
"id": 1002888712046248100,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:41:41",
"content": "219^222 = 0 mod 3 and = 1 mod 4",
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"id": 1002889005165203600,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:42:51",
"content": "219^28 = 1 mod 29",
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{
"id": 1002889071355510900,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:43:07",
"content": "219^222 = 219^28*7+26",
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},
{
"id": 1002889087709089900,
"author_id": 732106951475069000,
"author_name": "Clover",
"timestamp": "07/30/2022 06:43:11",
"content": "I understand I can factor 222, but 348? So let say a = 219^222 mod 3 and b = 219^222 mod 4 and ... mod 29, so the final result will be like a + b + c?",
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"id": 1002889143044550700,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:43:24",
"content": "nono",
"attachments": [],
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},
{
"id": 1002889170248810600,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:43:30",
"content": "wait",
"attachments": [],
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},
{
"id": 1002889202066792400,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:43:38",
"content": "for example",
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{
"id": 1002889225949151200,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:43:44",
"content": "we will approach it like this",
"attachments": [],
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},
{
"id": 1002889258060759000,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:43:51",
"content": "we want to find x mod m",
"attachments": [],
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},
{
"id": 1002889302499397600,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:44:02",
"content": "so we factor m = a*b with HCF(a,b) = 1",
"attachments": [],
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},
{
"id": 1002889363199361000,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:44:16",
"content": "then we consider individually m mod a and m mod b",
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},
{
"id": 1002889429322567700,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:44:32",
"content": "for example m = x mod a => m = a*k + x",
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"id": 1002889502089564300,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:44:50",
"content": "m = y mod b => a*k+x=y mod b",
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},
{
"id": 1002889502211194900,
"author_id": 732106951475069000,
"author_name": "Clover",
"timestamp": "07/30/2022 06:44:50",
"content": "oh yeah the Chinese Remainder Theorem ?",
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"id": 1002889514626318500,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:44:53",
"content": "yea",
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},
{
"id": 1002889535052599400,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:44:57",
"content": "thats the name",
"attachments": [],
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},
{
"id": 1002889542979833900,
"author_id": 732106951475069000,
"author_name": "Clover",
"timestamp": "07/30/2022 06:44:59",
"content": "ok got it",
"attachments": [],
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},
{
"id": 1002889594708168700,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:45:12",
"content": "anyway mod 3 mod 4 you can find right",
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},
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"id": 1002889606250909700,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:45:14",
"content": "now we deal with mod 29",
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},
{
"id": 1002889683421900800,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:45:33",
"content": "as i previously mentioned 219^222 = 219^26 mod 29",
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},
{
"id": 1002889699427365000,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:45:37",
"content": "if you read what i wrote",
"attachments": [],
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},
{
"id": 1002889773838516200,
"author_id": 732106951475069000,
"author_name": "Clover",
"timestamp": "07/30/2022 06:45:54",
"content": "yes I can deal with it now",
"attachments": [],
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},
{
"id": 1002889836371382400,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:46:09",
"content": "can you deal mod 29 yourself or do you need additional help continuing",
"attachments": [],
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},
{
"id": 1002889882731024400,
"author_id": 732106951475069000,
"author_name": "Clover",
"timestamp": "07/30/2022 06:46:20",
"content": "I can do it",
"attachments": [],
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"reference": null
},
{
"id": 1002889914481914000,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:46:28",
"content": "cho minh hoi ban lop may vay a",
"attachments": [],
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},
{
"id": 1002890020048347100,
"author_id": 732106951475069000,
"author_name": "Clover",
"timestamp": "07/30/2022 06:46:53",
"content": "😂 đại học đó bạn ơi",
"attachments": [],
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},
{
"id": 1002890050071171100,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:47:00",
"content": "dạ",
"attachments": [],
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},
{
"id": 1002890129750376600,
"author_id": 732106951475069000,
"author_name": "Clover",
"timestamp": "07/30/2022 06:47:19",
"content": "Thank bạn nhan 🥰",
"attachments": [],
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"reference": null
},
{
"id": 1002890157084659700,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:47:26",
"content": "e năm nay mới lên lớp 9 =))",
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},
{
"id": 1002890172456771600,
"author_id": 732106951475069000,
"author_name": "Clover",
"timestamp": "07/30/2022 06:47:29",
"content": "=))",
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},
{
"id": 1002890268745420800,
"author_id": 732106951475069000,
"author_name": "Clover",
"timestamp": "07/30/2022 06:47:52",
"content": "học hành chữ nghĩa trả thầy hết r 🥲",
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},
{
"id": 1002890373397500000,
"author_id": 732106951475069000,
"author_name": "Clover",
"timestamp": "07/30/2022 06:48:17",
"content": "thôi để mình close",
"attachments": [],
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},
{
"id": 1002890403965579300,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "07/30/2022 06:48:25",
"content": "ok ạ",
"attachments": [],
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},
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"id": 1002890410705817700,
"author_id": 732106951475069000,
"author_name": "Clover",
"timestamp": "07/30/2022 06:48:26",
"content": "😘",
"attachments": [],
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"reference": null
},
{
"id": 1002890423615885400,
"author_id": 732106951475069000,
"author_name": "Clover",
"timestamp": "07/30/2022 06:48:29",
"content": ".close",
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},
{
"id": 1002890425545273500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 06:48:30",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
0d9c02f0659f4ee8822252039159b1ba
|
197,515 |
[
{
"id": 959333423607070700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 02:08:31",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 959334980453011500,
"author_id": 803409730709618700,
"author_name": "jonewman",
"timestamp": "04/01/2022 02:14:42",
"content": "for this would i put the denom into (x-1)^-1 so that it goes on top and i find derivative from there?",
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"timestamp": "04/01/2022 02:14:43",
"content": "Pinned a message.",
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"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/01/2022 02:17:25",
"content": "f'(a) = lim {f(x) - f(a)}/(x-a) \n x->a",
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"content": "You have to use the limit definition\nYou can't find the derivative directly",
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"content": "Sweet thanks i got it but now im having trouble with this, i know i can use the sum/difference rule but i only know how to in situations like x^3+2x^2, not when the x has power of one",
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"content": "Didn't get you",
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"content": ":whycat:",
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"timestamp": "04/01/2022 02:32:51",
"content": "how would i find the derivative of this one basically",
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"timestamp": "04/01/2022 02:34:41",
"content": "Just go with the definition bro then apply the limit",
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"content": "f(a) = -3a²+3a-6",
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"timestamp": "04/01/2022 02:35:44",
"content": "f(x) = -3x²+3x-6",
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"timestamp": "04/01/2022 02:35:53",
"content": "Now apply",
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"timestamp": "04/01/2022 02:41:33",
"content": "im lost",
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"author_name": "KillerWhale2498",
"timestamp": "04/01/2022 02:41:54",
"content": "Have you used the limit definition?",
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"timestamp": "04/01/2022 02:42:39",
"content": "?",
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"author_name": "jonewman",
"timestamp": "04/01/2022 02:44:08",
"content": "i dont think",
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"id": 959342412461899800,
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"author_name": "Dracô",
"timestamp": "04/01/2022 02:44:14",
"content": "RIP",
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"author_id": 481266434635202560,
"author_name": "KillerWhale2498",
"timestamp": "04/01/2022 02:44:22",
"content": "What",
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"author_name": "KillerWhale2498",
"timestamp": "04/01/2022 02:44:49",
"content": "Look at your notes",
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"author_name": "KillerWhale2498",
"timestamp": "04/01/2022 02:44:56",
"content": "Or textbook",
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"author_name": "Dracô",
"timestamp": "04/01/2022 02:45:20",
"content": "You know you can't differentiate every function using the differentiation rules\nIt's important to learn the limit definition to check if the derivative exist at that point",
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"timestamp": "04/01/2022 02:45:24",
"content": ":sadcat:",
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"author_name": "Dracô",
"timestamp": "04/01/2022 02:45:54",
"content": "Atleast you can apply limits right?",
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"author_name": "KillerWhale2498",
"timestamp": "04/01/2022 02:53:32",
"content": "Have you seen this before @jonewman",
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"timestamp": "04/01/2022 02:55:40",
"content": "yes but i havent used it",
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"timestamp": "04/01/2022 02:58:21",
"content": "Well you going to use it now as a learning lesson. Since is already too late for me. Maybe someone else can help you. I hope you can understand using this definition. Once you learn this definition (very daunting but helps your algebra skills) there is an easy technique on finding derivatives but everyone including me had to do this limit definition of the derivative. Good luck!",
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"timestamp": "04/01/2022 03:00:34",
"content": "Well thank you for trying to help me",
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"timestamp": "04/01/2022 03:15:34",
"content": "@jonewman Has your question been resolved?",
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"content": "@jonewman Has your question been resolved?",
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"timestamp": "04/01/2022 03:45:40",
"content": "can some help me out",
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"timestamp": "04/01/2022 03:45:47",
"content": "Channel closed",
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] |
help-9
|
8524384687934d8394928b38d5a052ba
|
197,516 |
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"timestamp": "07/30/2022 06:49:30",
"content": "Available help channel!",
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},
{
"id": 1002894473048641500,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 07:04:35",
"content": "Could someone point me in the general direction on how to go about doing such questions?",
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"content": "Pinned a message.",
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"content": ".close",
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help-9
|
dbf45d2be5bd4aa2abfb9f74b57459d7
|
197,517 |
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"content": "Pinned a message.",
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"timestamp": "07/30/2022 08:09:05",
"content": "Uh im not exactly sure how to get to these equations right here so I can graph it out like in wolfram",
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"id": 1002910771551944800,
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"content": "I need to plot out this given equation",
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"content": "I understand I can use the Eulers or the Moavro or whatever the name is with cos+isin expression but this cartesian thing looks simpler",
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"content": "@Petar Has your question been resolved?",
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] |
help-9
|
1f6e65496d7a4c3d8f09e818f4e8dcf7
|
197,518 |
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"content": "@chyaki (account got hacked) Has your question been resolved?",
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help-9
|
657aaf19258c45f48c0dd44660a6cfd1
|
197,519 |
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"content": "For example (x+1)t",
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"timestamp": "07/30/2022 09:33:03",
"content": "for the x^3, since there is no t, i'm a bit confused as to how to make it a product of t",
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"timestamp": "07/30/2022 09:34:14",
"content": "the constant function g(t)=1 is a function of t",
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"timestamp": "07/30/2022 09:34:37",
"content": "so you can write it as f(x)*g(t) with f(x)=x^3 and g(t)=1",
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"timestamp": "07/30/2022 09:37:46",
"content": "ahh ok",
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"author_name": "LilYeetzina",
"timestamp": "07/30/2022 09:38:42",
"content": "then with the xt, is it f(x)=x and g(t)=t?",
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"timestamp": "07/30/2022 09:38:52",
"content": "yes",
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"timestamp": "07/30/2022 09:39:49",
"content": "then with something like this why is it not separable?",
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"timestamp": "07/30/2022 09:40:05",
"content": "well, try writing it as a product f(x)g(t)",
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"content": "just not possible",
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"author_name": "Denascite",
"timestamp": "07/30/2022 09:42:03",
"content": "although I don't have a rigorous proof for that right now",
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"timestamp": "07/30/2022 09:42:22",
"content": "also I'm a bit stuck with sketching slope fields. For example",
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"timestamp": "07/30/2022 09:42:48",
"content": "for dx/dt = x^3... i don't know how to start",
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"timestamp": "07/30/2022 09:43:01",
"content": "no that's okay! I understand what u mean",
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"timestamp": "07/30/2022 09:43:22",
"content": "i see this as the solution",
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"timestamp": "07/30/2022 09:43:29",
"content": "but I don't get how it's done",
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"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "07/30/2022 09:44:06",
"content": "Choose a point",
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"author_name": "LilYeetzina",
"timestamp": "07/30/2022 09:44:16",
"content": "t=-1",
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"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "07/30/2022 09:44:54",
"content": "at every point (t,x) on the plane draw a line with slope x^3",
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"timestamp": "07/30/2022 09:45:16",
"content": "Beat me to it and in fewer words",
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"timestamp": "07/30/2022 09:45:30",
"content": "ohh",
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"timestamp": "07/30/2022 09:45:49",
"content": "(or in general with slope=RHS of the DE)",
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"timestamp": "07/30/2022 09:47:40",
"content": "thank youu",
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"content": "thank u",
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"timestamp": "07/30/2022 09:48:41",
"content": ".close",
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},
{
"id": 1002935772476870800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 09:48:41",
"content": "Channel closed",
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}
] |
help-9
|
21f69805cd19437385ed37d1f7cf379c
|
197,520 |
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{
"id": 1002936026140000300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 09:49:42",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1002943734696120300,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 10:20:20",
"content": "If A is a nilpotent matrix with A^k = O. than will A^l with l>k also be O?",
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"timestamp": "07/30/2022 10:20:20",
"content": "Pinned a message.",
"attachments": [],
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"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 10:21:04",
"content": "I want to say yes since A^l = A^k . A^l-k which is O.A^l-k which should be O right?",
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"id": 1002943998547206100,
"author_id": 855321576010285000,
"author_name": "kye",
"timestamp": "07/30/2022 10:21:23",
"content": "?",
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"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 10:21:48",
"content": "Check out #❓how-to-get-help 😄",
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},
{
"id": 1002944417700782200,
"author_id": 855321576010285000,
"author_name": "kye",
"timestamp": "07/30/2022 10:23:02",
"content": "whats A^I",
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"author_name": "iCaird",
"timestamp": "07/30/2022 10:23:23",
"content": "your answer is correct",
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"id": 1002944538781954200,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 10:23:31",
"content": "Thank you!",
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},
{
"id": 1002944548261068900,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 10:23:34",
"content": ".close",
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"content": "Channel closed",
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] |
help-9
|
cc50c50c34394496b2c7dbee92fa98db
|
197,521 |
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{
"id": 1002944562676895700,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/30/2022 10:23:37",
"content": "try not to use . for multiplication",
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"id": 1002944598357856400,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 10:23:46",
"content": "what should i use for matrix multiplication?",
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"id": 1002944612941443200,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 10:23:49",
"content": "jsut an x?",
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{
"id": 1002944620608626800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/30/2022 10:23:51",
"content": "*",
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{
"id": 1002944632776298600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/30/2022 10:23:54",
"content": "or just nothing",
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},
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"id": 1002944676761960400,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 10:24:04",
"content": "Okey thanks",
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},
{
"id": 1002950377420898300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 10:46:43",
"content": "Available help channel!",
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},
{
"id": 1002955302687211500,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 11:06:18",
"content": "How do i go about proving A.X = 0 for every X => A = 0",
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"id": 1002955305048604800,
"author_id": 805217272087838700,
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"timestamp": "07/30/2022 11:06:18",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1002955513912361000,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 11:07:08",
"content": "I started out with writing down the definition of matrix multiplication and all thats left for me to do is prove that (a_ij.x_jk) for every x implies a_ij = 0 but idk how to go about that either, idk what properties/axioms i can use to base myself on for algebraic proofs",
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"id": 1002955843320426600,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/30/2022 11:08:27",
"content": "is X a matrix or a vector",
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"id": 1002956105879658500,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 11:09:29",
"content": "its a column vector",
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"id": 1002956116411551900,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 11:09:32",
"content": "element of R^n",
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"id": 1002956209000829000,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 11:09:54",
"content": "And A is an mxn matrix",
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"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/30/2022 11:10:13",
"content": "we're free to choose x to be whatever we want and the equation will still be true",
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"id": 1002956324243517400,
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"timestamp": "07/30/2022 11:10:21",
"content": "pick the most simple column vectors you know",
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"id": 1002956356376080500,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/30/2022 11:10:29",
"content": "and see what the equation tells you about A",
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"id": 1002956417063452800,
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"timestamp": "07/30/2022 11:10:43",
"content": "yeah i get why its true but how do i prove it without writing down that it just makes sense",
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"id": 1002957203218632700,
"author_id": 193692307453771780,
"author_name": "Syst3ms",
"timestamp": "07/30/2022 11:13:51",
"content": "Try to formally write the product of A with simple column vectors then",
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"timestamp": "07/30/2022 11:15:50",
"content": "(A.X)_ik = SUM_j=1-->n (aijxj1) = (ai1x11) + (ai2x21) + ... + (ainxn1)",
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"id": 1002957715783565300,
"author_id": 215090636192350200,
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"timestamp": "07/30/2022 11:15:53",
"content": "Like this?",
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"id": 1002957867885801600,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/30/2022 11:16:29",
"content": "right but do it with a very simple column vector",
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"id": 1002958738895933600,
"author_id": 385077399194304500,
"author_name": "Feras",
"timestamp": "07/30/2022 11:19:57",
"content": "نعمان كيف. شو السوال بلضبط ما فهمت",
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"id": 1002958878675304600,
"author_id": 385077399194304500,
"author_name": "Feras",
"timestamp": "07/30/2022 11:20:30",
"content": "حليتها ولا لسا؟",
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"id": 1002959393488375900,
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"author_name": "نعمان",
"timestamp": "07/30/2022 11:22:33",
"content": "(a b c) . (123) = a+2b+3c ?",
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"author_name": "نعمان",
"timestamp": "07/30/2022 11:22:43",
"content": "just imagine (1 2 3) as a column vector",
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"timestamp": "07/30/2022 11:23:12",
"content": "okay but A should be an mxn matrix in general",
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"timestamp": "07/30/2022 11:23:25",
"content": "also i can think of column vectors a lot more simple than (1,2,3)",
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"timestamp": "07/30/2022 11:24:01",
"content": "I dont have an arabic keybaord on my laptop but im not sure on what axioms/properties/whatever i can base a proof that A.X = 0 for every X implies X = 0. with A element of R^mxn and X element of R^n",
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"timestamp": "07/30/2022 11:24:17",
"content": "I dont think i understand the goal",
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"author_name": "iCaird",
"timestamp": "07/30/2022 11:25:25",
"content": "which column vectors do you typically use to describe all other column vectors?",
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"id": 1002960194059370600,
"author_id": 215090636192350200,
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"timestamp": "07/30/2022 11:25:44",
"content": "standard basis",
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"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 11:26:14",
"content": "(1,0,0,....,0) , (0,1,0,....,0) , .... , (0, 0 , ...., 1)",
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"timestamp": "07/30/2022 11:26:17",
"content": "right",
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"timestamp": "07/30/2022 11:26:24",
"content": "those seems like very simple vectors to me, maybe the most simple",
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"timestamp": "07/30/2022 11:26:41",
"content": "see what happens when you times one of those by an mxn matrix",
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"author_name": "Feras",
"timestamp": "07/30/2022 11:28:24",
"content": "so you underatand arabic",
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"author_name": "نعمان",
"timestamp": "07/30/2022 11:28:46",
"content": "maghrebi yes, fus7a no. But that doesnt help me with my mathematics question haha",
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"timestamp": "07/30/2022 11:33:17",
"content": "So i multiplied an mxn matrix by the column vector (1,0,0,....,0) and i get a column vector which is just the first column of my mxn matrix",
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"timestamp": "07/30/2022 11:33:59",
"content": "yup!",
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"timestamp": "07/30/2022 11:34:11",
"content": "so if we do this for all standard column vectors...",
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"timestamp": "07/30/2022 11:34:22",
"content": "and use the equation in the question",
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"timestamp": "07/30/2022 11:36:33",
"content": "Okey so if the X is any of the basis vectors with a 1 on the i'th entry you get a the i'th column of A.",
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"id": 1002962956721606800,
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"author_name": "Feras",
"timestamp": "07/30/2022 11:36:43",
"content": "لازم تجد احداثيات النقطه p?",
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"author_name": "نعمان",
"timestamp": "07/30/2022 11:36:51",
"content": "If A.X = 0 that does prove that A = 0 but what if X is not a basis vector?",
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"author_name": "iCaird",
"timestamp": "07/30/2022 11:37:42",
"content": "who cares?",
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"id": 1002963248691286100,
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"author_name": "iCaird",
"timestamp": "07/30/2022 11:37:52",
"content": "its true for any X",
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"timestamp": "07/30/2022 11:37:57",
"content": "so its true for the standard basis",
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"timestamp": "07/30/2022 11:38:18",
"content": "which is enough to say A=0",
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"timestamp": "07/30/2022 11:39:00",
"content": "i dont see how, didnt we only prove the special case of X being a standard basis",
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"timestamp": "07/30/2022 11:40:06",
"content": "no",
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"author_name": "iCaird",
"timestamp": "07/30/2022 11:40:17",
"content": "we were told that *ANY* X satisfied that equation",
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"id": 1002963869792206800,
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"author_name": "iCaird",
"timestamp": "07/30/2022 11:40:20",
"content": "so we went",
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"author_name": "iCaird",
"timestamp": "07/30/2022 11:40:37",
"content": "okay, well in particular the standard basis satisfied that equation",
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"id": 1002964005117251600,
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"author_name": "iCaird",
"timestamp": "07/30/2022 11:40:52",
"content": "and that told us that A=0",
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"author_name": "iCaird",
"timestamp": "07/30/2022 11:41:06",
"content": "so really we were told more information than needed to conclude that A=0",
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"id": 1002964093940023400,
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"timestamp": "07/30/2022 11:41:14",
"content": "which is fine",
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"author_name": "نعمان",
"timestamp": "07/30/2022 11:42:33",
"content": "Yes every X satisfies the equation but didnt we only show that if X = standard basis the implication (AX=0 for every X => A=0) is true?",
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"author_name": "iCaird",
"timestamp": "07/30/2022 11:43:09",
"content": "we have used the information: for every X, AX=0",
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"id": 1002964600049909900,
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"author_name": "iCaird",
"timestamp": "07/30/2022 11:43:14",
"content": "and we have concluded that: A=0",
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"id": 1002964697999474800,
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"author_name": "iCaird",
"timestamp": "07/30/2022 11:43:38",
"content": "we just didn't need to use ALL the information we were given here, which is fine",
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"id": 1002964928174506000,
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"author_name": "iCaird",
"timestamp": "07/30/2022 11:44:33",
"content": "think about numbers, if i said to you for any number x, a*x = 0, prove that a=0",
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"timestamp": "07/30/2022 11:44:40",
"content": "you would just say well okay ill just pick x=1",
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"timestamp": "07/30/2022 11:44:42",
"content": "then a=0",
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"id": 1002965012442251400,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/30/2022 11:44:53",
"content": "same thing here, with the standard columns vectors playing the role of 1",
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"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 11:45:49",
"content": "wouldnt you have to try every x to prove it then? proof by exhaustion",
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"id": 1002965296585384000,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 11:46:00",
"content": "This feels like proving \"all swans are white\" by showing 1 white swan",
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"id": 1002965691273584800,
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"author_name": "iCaird",
"timestamp": "07/30/2022 11:47:35",
"content": "no you're misunderstanding what the question really is",
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"id": 1002965839152156800,
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"author_name": "iCaird",
"timestamp": "07/30/2022 11:48:10",
"content": "its more like \"this female swan will mate with ANY male swan, prove that this female swan can have baby swans\"",
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"id": 1002965925403824100,
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"author_name": "iCaird",
"timestamp": "07/30/2022 11:48:30",
"content": "well we only need to know that this female swan will mate with ONE male swan",
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"id": 1002965954004799600,
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"timestamp": "07/30/2022 11:48:37",
"content": "to prove she can have baby swans",
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"id": 1002966028491427800,
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"author_name": "iCaird",
"timestamp": "07/30/2022 11:48:55",
"content": "so we were actually given more information than we needed, the fact she'd mate with ANY male swan",
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"id": 1002966233190248400,
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"author_name": "iCaird",
"timestamp": "07/30/2022 11:49:44",
"content": "the female swan is our matrix A, the fact she will mate with any male <=> AX=0 for all X",
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"id": 1002966328350613600,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 11:50:06",
"content": "Ohhh i think i get it",
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"author_name": "نعمان",
"timestamp": "07/30/2022 11:51:28",
"content": "A.X = 0 for every X is a true statement, therefor if A.X = only elements of A (like the columns of A), to uphold the truth of the statement, A must be 0 for every entry in that column, and you can do that for every column",
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"timestamp": "07/30/2022 11:52:30",
"content": "sure yes",
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"id": 1002966954560192500,
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"timestamp": "07/30/2022 11:52:36",
"content": "AX=0 for EVERY X",
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"id": 1002966996884918300,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/30/2022 11:52:46",
"content": "we chose X=(1,0,..,0)",
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"id": 1002967060059529300,
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"author_name": "iCaird",
"timestamp": "07/30/2022 11:53:01",
"content": "and that told us that the first column of A was (0,..,0)",
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"id": 1002967103571251200,
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"author_name": "iCaird",
"timestamp": "07/30/2022 11:53:11",
"content": "then we chose X=(0,1,0,...,0)",
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"id": 1002967138216185900,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/30/2022 11:53:19",
"content": "this told us the second column of A was 0",
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"id": 1002967143106752500,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/30/2022 11:53:21",
"content": "etc",
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"id": 1002967153206644900,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/30/2022 11:53:23",
"content": "so A=0",
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},
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"id": 1002967195241939000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/30/2022 11:53:33",
"content": "we only needed to choose n different Xs",
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},
{
"id": 1002967232424448100,
"author_id": 932500322138607600,
"author_name": "Obi wan kenobi jedi",
"timestamp": "07/30/2022 11:53:42",
"content": "Hlo",
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},
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"id": 1002967556262473700,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 11:54:59",
"content": "Yeah",
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},
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"id": 1002967568291729500,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 11:55:02",
"content": "Thats such a cool proof",
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},
{
"id": 1002967577145917600,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 11:55:04",
"content": "thanks alot!",
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},
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"id": 1002967724554715100,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 11:55:39",
"content": "May I ask what is your educational background?",
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"id": 1002967937767985200,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/30/2022 11:56:30",
"content": "recently completed a masters in maths",
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"id": 1002968079589970000,
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"author_name": "نعمان",
"timestamp": "07/30/2022 11:57:04",
"content": "wow cool, congratulations!",
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"id": 1002968113035362400,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 11:57:12",
"content": "Thanks again for the help",
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},
{
"id": 1002968130584314000,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "07/30/2022 11:57:16",
"content": ".close",
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},
{
"id": 1002968132442390700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 11:57:17",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
e3725d8e31d046eabc2921603a0e652e
|
197,522 |
[
{
"id": 1002968387590291500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 11:58:17",
"content": "Available help channel!",
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},
{
"id": 1002972695182459000,
"author_id": 581427402857775100,
"author_name": "KtorGray",
"timestamp": "07/30/2022 12:15:24",
"content": "for any f: R -> R, such as f(x) = 1/1/x^2 the domain is x belonging to all real numbers except 0, BUT when simplified to f(x) = x^2, \n1. Does the domain remain the same or does it change according to the simplification?\n2. If the domain doesn't change, then why?\n3. Then are f(x) non simplified and f(x) simplified the same? (sorry for edit)",
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{
"id": 1002972697183133700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 12:15:25",
"content": "Pinned a message.",
"attachments": [],
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}
},
{
"id": 1002972812702662700,
"author_id": 722075505230348400,
"author_name": "Oreo",
"timestamp": "07/30/2022 12:15:52",
"content": "1) yes",
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"id": 1002972881992564700,
"author_id": 722075505230348400,
"author_name": "Oreo",
"timestamp": "07/30/2022 12:16:09",
"content": "you _never_ simplify a function when finding domain",
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},
{
"id": 1002972920928292900,
"author_id": 581427402857775100,
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"timestamp": "07/30/2022 12:16:18",
"content": "oh",
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},
{
"id": 1002972935088242800,
"author_id": 581427402857775100,
"author_name": "KtorGray",
"timestamp": "07/30/2022 12:16:22",
"content": "gonna note that down",
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},
{
"id": 1002972964872003600,
"author_id": 722075505230348400,
"author_name": "Oreo",
"timestamp": "07/30/2022 12:16:29",
"content": "for example \nf(x) = x\nf(x) = 1/(1/x)",
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},
{
"id": 1002972990243360800,
"author_id": 722075505230348400,
"author_name": "Oreo",
"timestamp": "07/30/2022 12:16:35",
"content": "they might look same to you",
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},
{
"id": 1002973004449464300,
"author_id": 722075505230348400,
"author_name": "Oreo",
"timestamp": "07/30/2022 12:16:38",
"content": "but their domain are not same",
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},
{
"id": 1002973038981165200,
"author_id": 581427402857775100,
"author_name": "KtorGray",
"timestamp": "07/30/2022 12:16:46",
"content": "oh",
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},
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"id": 1002973055875825700,
"author_id": 722075505230348400,
"author_name": "Oreo",
"timestamp": "07/30/2022 12:16:50",
"content": "one is R , other one's R - {0}",
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},
{
"id": 1002973140680450000,
"author_id": 581427402857775100,
"author_name": "KtorGray",
"timestamp": "07/30/2022 12:17:11",
"content": "oh... so even though the functions look similar, it's the domain that matters?",
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"author_id": 722075505230348400,
"author_name": "Oreo",
"timestamp": "07/30/2022 12:17:22",
"content": "the domain and range yes",
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"author_name": "KtorGray",
"timestamp": "07/30/2022 12:17:28",
"content": "aah thanks",
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},
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"id": 1002973217335562200,
"author_id": 722075505230348400,
"author_name": "Oreo",
"timestamp": "07/30/2022 12:17:29",
"content": "and its graph",
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},
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"id": 1002973274290008200,
"author_id": 581427402857775100,
"author_name": "KtorGray",
"timestamp": "07/30/2022 12:17:42",
"content": "also the domain doesn't change even after simplification so the function remains unique right?",
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},
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"id": 1002973320200851500,
"author_id": 581427402857775100,
"author_name": "KtorGray",
"timestamp": "07/30/2022 12:17:53",
"content": "ah yes",
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"id": 1002973385929793500,
"author_id": 722075505230348400,
"author_name": "Oreo",
"timestamp": "07/30/2022 12:18:09",
"content": "yes",
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"id": 1002973435313520600,
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"author_name": "Oreo",
"timestamp": "07/30/2022 12:18:21",
"content": "but you usually avoid simplicaton for calculating domain",
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"id": 1002973462261944300,
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"author_name": "Oreo",
"timestamp": "07/30/2022 12:18:27",
"content": "for range you can",
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"author_name": "KtorGray",
"timestamp": "07/30/2022 12:18:45",
"content": "OOH thanks a lot I was very confused over this thanks",
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},
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"timestamp": "07/30/2022 12:18:55",
"content": ".close",
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},
{
"id": 1002973581807984800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 12:18:56",
"content": "Channel closed",
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}
] |
help-9
|
6dbce83aac914fd287cdc56137d0e0dc
|
197,523 |
[
{
"id": 1002975221067817000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 12:25:27",
"content": "Available help channel!",
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},
{
"id": 1002984188372332500,
"author_id": 474210313810608100,
"author_name": "Milky Ware",
"timestamp": "07/30/2022 13:01:05",
"content": "Is log(n!) = nlog(n)?",
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},
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"id": 1002984190591111200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
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"content": "Pinned a message.",
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{
"id": 1002984360519155700,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "07/30/2022 13:01:46",
"content": "No why?",
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},
{
"id": 1002984474885226600,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "07/30/2022 13:02:13",
"content": "$n \\log n = \\log n^n \\neq \\log (n!)$",
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},
{
"id": 1002984633127931900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/30/2022 13:02:51",
"content": "**Deep.**",
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"timestamp": "07/30/2022 13:03:14",
"content": "Got it thanks",
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},
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"id": 1002985083042529300,
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"author_name": "Milky Ware",
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"content": "",
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{
"id": 1002985105654026200,
"author_id": 220196846922891260,
"author_name": "Lance",
"timestamp": "07/30/2022 13:04:43",
"content": "you do have log(n!) = O(n log n) though",
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"id": 1002985110888525800,
"author_id": 220196846922891260,
"author_name": "Lance",
"timestamp": "07/30/2022 13:04:44",
"content": "oh yea",
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},
{
"id": 1002985194342580400,
"author_id": 474210313810608100,
"author_name": "Milky Ware",
"timestamp": "07/30/2022 13:05:04",
"content": "This line confused me that's why I asked",
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},
{
"id": 1002985207739207700,
"author_id": 220196846922891260,
"author_name": "Lance",
"timestamp": "07/30/2022 13:05:08",
"content": "ah",
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},
{
"id": 1002985220515041300,
"author_id": 220196846922891260,
"author_name": "Lance",
"timestamp": "07/30/2022 13:05:11",
"content": "do you know what O means?",
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},
{
"id": 1002985279222718600,
"author_id": 474210313810608100,
"author_name": "Milky Ware",
"timestamp": "07/30/2022 13:05:25",
"content": "In CS, yes",
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},
{
"id": 1002985314022858900,
"author_id": 220196846922891260,
"author_name": "Lance",
"timestamp": "07/30/2022 13:05:33",
"content": "right",
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},
{
"id": 1002985346490978400,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "07/30/2022 13:05:41",
"content": "Big o",
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},
{
"id": 1002985372525002800,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "07/30/2022 13:05:47",
"content": "Complexity",
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},
{
"id": 1002985423456444500,
"author_id": 220196846922891260,
"author_name": "Lance",
"timestamp": "07/30/2022 13:05:59",
"content": "yea, asymptotic growth",
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},
{
"id": 1002985589861261400,
"author_id": 220196846922891260,
"author_name": "Lance",
"timestamp": "07/30/2022 13:06:39",
"content": "even though log(n!) = n log n is not true, log(n!) in O(n log n) is",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 13:20:25",
"content": "@Milky Ware Has your question been resolved?",
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"timestamp": "07/30/2022 13:21:56",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
d3fcf8d3b35a43f6a04b1ed2a89a91ef
|
197,524 |
[
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"id": 1002989688317034500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 13:22:56",
"content": "Available help channel!",
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},
{
"id": 1002997577916100600,
"author_id": 476888316633940000,
"author_name": "824 | DURANI | B",
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"content": "Pinned a message.",
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"author_id": 476888316633940000,
"author_name": "824 | DURANI | B",
"timestamp": "07/30/2022 13:54:27",
"content": "what is the answer of this mcq",
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{
"id": 1002997699131482200,
"author_id": 476888316633940000,
"author_name": "824 | DURANI | B",
"timestamp": "07/30/2022 13:54:46",
"content": "@Helpers",
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},
{
"id": 1002998366764007600,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/30/2022 13:57:25",
"content": "!15m",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 13:57:25",
"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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{
"id": 1002999481870061700,
"author_id": 794845758272045000,
"author_name": "Theo1105",
"timestamp": "07/30/2022 14:01:51",
"content": "I think drawing a venn diagram should help",
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},
{
"id": 1002999554603483100,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:02:08",
"content": "^",
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},
{
"id": 1002999648006447200,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:02:30",
"content": "If you have a doubt in any of the symbols, feel free to ask",
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},
{
"id": 1002999734824353900,
"author_id": 794845758272045000,
"author_name": "Theo1105",
"timestamp": "07/30/2022 14:02:51",
"content": "D' meaning everything in U except D",
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},
{
"id": 1002999757800734800,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:02:57",
"content": "Yup",
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},
{
"id": 1002999784224858200,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:03:03",
"content": "pronounced as D compliment",
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},
{
"id": 1002999802004521000,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:03:07",
"content": "U is union",
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},
{
"id": 1002999871676108900,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:03:24",
"content": "which basically means {x: x belongs to A or x belongs to B}",
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},
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"id": 1002999891028607100,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "07/30/2022 14:03:28",
"content": "",
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"id": 1003000027574186100,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:04:01",
"content": "∩ means intersection",
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},
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"id": 1003000047564247000,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:04:06",
"content": "which basically means",
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},
{
"id": 1003000069500453000,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:04:11",
"content": "all elements common to two sets",
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},
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"id": 1003000120998105100,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:04:23",
"content": "{x: x belongs to A **and** B}",
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},
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"id": 1003000174018306200,
"author_id": 476888316633940000,
"author_name": "824 | DURANI | B",
"timestamp": "07/30/2022 14:04:36",
"content": "ok thanks my problem is solved",
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},
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"id": 1003000229446037600,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:04:49",
"content": "great",
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},
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"id": 1003001112439312400,
"author_id": 476888316633940000,
"author_name": "824 | DURANI | B",
"timestamp": "07/30/2022 14:08:20",
"content": ".close",
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},
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"id": 1003001114272211100,
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"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 14:08:20",
"content": "Channel closed",
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}
] |
help-9
|
7d640f3ff0f348e7a77ac8590cb3a90b
|
197,525 |
[
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"timestamp": "07/30/2022 14:09:20",
"content": "Available help channel!",
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},
{
"id": 1003005141143785600,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/30/2022 14:24:20",
"content": "I'm not too sure how to answer this question",
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"content": "Pinned a message.",
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"author_name": "caarson",
"timestamp": "07/30/2022 14:24:51",
"content": "I thought maybe I could use the chain rule but I noticed the equation doesn't actually equal a value, so I'm not sure how helpful it is.",
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"id": 1003005414947950600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/30/2022 14:25:25",
"content": "see your last line?",
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},
{
"id": 1003005444366815400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/30/2022 14:25:32",
"content": "cos(y^3) * 3y^2 * dy/dx",
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},
{
"id": 1003005522913546500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/30/2022 14:25:51",
"content": "discounting your bad notation, this derivative is correct.",
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},
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"id": 1003005523030982700,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/30/2022 14:25:51",
"content": "Yep, do I set that equal to sin(y^3)?",
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},
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"id": 1003005537404846100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/30/2022 14:25:55",
"content": "no",
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},
{
"id": 1003005631936069800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/30/2022 14:26:17",
"content": "cos(y^3) * 3y^2 * dy/dx is **the derivative of** sin(y^3).",
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"timestamp": "07/30/2022 14:27:35",
"content": "Ohh they just indicated it with different notation",
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"id": 1003005990184173600,
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"timestamp": "07/30/2022 14:27:43",
"content": "Thank you for your help",
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"id": 1003007376078667900,
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"author_name": "caarson",
"timestamp": "07/30/2022 14:33:13",
"content": "Does x^3 distribute to dy/dx?",
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"author_name": "Ann",
"timestamp": "07/30/2022 14:36:42",
"content": "what do you mean?",
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"id": 1003008335995478000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/30/2022 14:37:02",
"content": "are you asking if $x^3 (2y \\tfrac{dy}{dx}) = x^3(2y) \\cdot x^3(\\tfrac{dy}{dx})$?",
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},
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"id": 1003008345067753500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/30/2022 14:37:04",
"content": "**Ann**",
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"author_name": "Ann",
"timestamp": "07/30/2022 14:37:19",
"content": "if so then no, multiplication doesn't distribute over itself!",
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"id": 1003008444887994500,
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"author_name": "caarson",
"timestamp": "07/30/2022 14:37:28",
"content": "Okay gotcha",
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},
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"id": 1003008472654291000,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/30/2022 14:37:34",
"content": "So it becomes more like this",
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"author_name": "caarson",
"timestamp": "07/30/2022 14:38:05",
"content": "",
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"id": 1003008699478048900,
"author_id": 327641170597511200,
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"timestamp": "07/30/2022 14:38:28",
"content": "It goes 2y * dy/dx * x^3",
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},
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"id": 1003009041351573500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/30/2022 14:39:50",
"content": "yes sure",
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},
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"id": 1003009178933145700,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/30/2022 14:40:23",
"content": "Thank you, I definitely do rely on my calculator too often. Thank you.",
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},
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"id": 1003009183236505600,
"author_id": 327641170597511200,
"author_name": "caarson",
"timestamp": "07/30/2022 14:40:24",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1003009184759033900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 14:40:24",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
6028a2eb0b9347f69a110113837ecd31
|
197,526 |
[
{
"id": 959407087455195100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 07:01:14",
"content": "Available help channel!",
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"reference": null
},
{
"id": 959407547650031700,
"author_id": 319525235097468900,
"author_name": "Eldog",
"timestamp": "04/01/2022 07:03:04",
"content": "How does e^(-pi) = -1?",
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"timestamp": "04/01/2022 07:03:04",
"content": "Pinned a message.",
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{
"id": 959408227139850200,
"author_id": 735267463213875200,
"author_name": "!NV",
"timestamp": "04/01/2022 07:05:46",
"content": "hi can anyone help me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959408248358846600,
"author_id": 735267463213875200,
"author_name": "!NV",
"timestamp": "04/01/2022 07:05:51",
"content": "@Helpers",
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"reference": null
},
{
"id": 959411323819667500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 07:18:04",
"content": "@Eldog Has your question been resolved?",
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"id": 959412522883121200,
"author_id": 260975264987611140,
"author_name": "gmod",
"timestamp": "04/01/2022 07:22:50",
"content": "@!NV #❓how-to-get-help",
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"author_id": 391959424924778500,
"author_name": "ohNoiAmHere",
"timestamp": "04/01/2022 07:30:55",
"content": "are you sure you didnt make a type (forget an i or something?)",
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"author_id": 391959424924778500,
"author_name": "ohNoiAmHere",
"timestamp": "04/01/2022 07:31:03",
"content": "cause im fairly sure thats not true",
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},
{
"id": 959415099376955500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 07:33:04",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
bb1b4625b5a043018a157b8806fd7c06
|
197,527 |
[
{
"id": 1003009437646196700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 14:41:24",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1003010523593449500,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:45:43",
"content": "Also 90?",
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"id": 1003010525694808000,
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"timestamp": "07/30/2022 14:45:44",
"content": "Pinned a message.",
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"id": 1003010689826295800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/30/2022 14:46:23",
"content": "no, definitely not.",
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},
{
"id": 1003010711301132300,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:46:28",
"content": "OH SHIT",
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},
{
"id": 1003010731647705100,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:46:33",
"content": "idk what I was thinking",
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},
{
"id": 1003010758398967900,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:46:39",
"content": "I was thinking of that one theorem",
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},
{
"id": 1003010793765359700,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:46:48",
"content": "where the angle subtended by two points is the same",
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},
{
"id": 1003010825885335600,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:46:55",
"content": "like when you move around the angle",
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},
{
"id": 1003010836723417100,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:46:58",
"content": "I can't put it into words",
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},
{
"id": 1003010960019169400,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:47:27",
"content": "that's for circles",
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},
{
"id": 1003010970743996400,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:47:30",
"content": "and this isn't one",
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},
{
"id": 1003011048552529900,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:47:49",
"content": "Oh",
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},
{
"id": 1003011068492267500,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:47:53",
"content": "this is really easy",
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},
{
"id": 1003011081721106600,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:47:56",
"content": "b = c",
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},
{
"id": 1003011112696033300,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:48:04",
"content": "and IB bisects B",
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"id": 1003011143037636700,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:48:11",
"content": "so 90 + 2x = 180",
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},
{
"id": 1003011157327626200,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:48:14",
"content": "x = 45",
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},
{
"id": 1003011223027187700,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:48:30",
"content": "so that makes I = 135?",
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"id": 1003011252496375900,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:48:37",
"content": "Jesus, this was easy",
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},
{
"id": 1003011259685417000,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:48:39",
"content": "I need sleep",
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},
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"id": 1003011299942334600,
"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:48:48",
"content": "@Ann am I in the right direction",
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"id": 1003011365931339900,
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"timestamp": "07/30/2022 14:49:04",
"content": "yes",
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"id": 1003011398709805200,
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"author_name": "EMINEM",
"timestamp": "07/30/2022 14:49:12",
"content": "wonderful, thanks!",
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"author_id": 723017926487179300,
"author_name": "EMINEM",
"timestamp": "07/30/2022 14:49:13",
"content": ".close",
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},
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"id": 1003011404195958800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 14:49:13",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
e6308783c96f46ada0964fbc0166d04e
|
197,528 |
[
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"timestamp": "07/30/2022 14:55:46",
"content": "Available help channel!",
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},
{
"id": 1003020372066717700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/30/2022 15:24:51",
"content": "",
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"content": "Pinned a message.",
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"id": 1003020445307638000,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "07/30/2022 15:25:09",
"content": "can u translate",
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"id": 1003020492166402000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/30/2022 15:25:20",
"content": "yeah give me a minute",
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"id": 1003020638312739000,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "07/30/2022 15:25:55",
"content": "use chain rule for a part",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/30/2022 15:27:07",
"content": "the tangent to the graph of f at the point P(d, f(d)) passes through the point Q (1, -3). find the value of d",
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"id": 1003020968060526600,
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"timestamp": "07/30/2022 15:27:14",
"content": "point-slope form for 2nd",
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"id": 1003021139867607000,
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"timestamp": "07/30/2022 15:27:54",
"content": "with the point Q right? but how i can get the d",
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"timestamp": "07/30/2022 15:28:29",
"content": "y1 is 2lnd, x1 is d, m is 2/d",
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"id": 1003021343010328700,
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"author_name": "Lvn",
"timestamp": "07/30/2022 15:28:43",
"content": "now satisfy y=-3 and x=1",
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"id": 1003021365894463600,
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"timestamp": "07/30/2022 15:28:48",
"content": "to get eq in d",
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"id": 1003024620741468200,
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"timestamp": "07/30/2022 15:41:44",
"content": "y = 2/d (x-d) +2Ind",
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"id": 1003024642774138900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/30/2022 15:41:50",
"content": "this is correct?",
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"id": 1003024681097494500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/30/2022 15:41:59",
"content": "so then i only satisfy",
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"id": 1003025762271637600,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "07/30/2022 15:46:17",
"content": "can somene confirm, im not getting a real solution for d",
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"timestamp": "07/30/2022 15:56:59",
"content": "@Deleted User Has your question been resolved?",
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"timestamp": "07/30/2022 15:57:25",
"content": "i dont get a real solution too",
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"timestamp": "07/30/2022 15:57:28",
"content": "so ig it is",
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"content": "yes",
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"timestamp": "07/30/2022 15:58:00",
"content": "Channel closed",
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] |
help-9
|
39778dc29b5445eaa4469a825e0dfc95
|
197,529 |
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"timestamp": "07/30/2022 15:59:00",
"content": "Available help channel!",
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"timestamp": "07/30/2022 16:36:47",
"content": "the questions given",
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"content": "the way my sir solved it is that he drew a circle, and AC would be diameter cuz angle subtended by diameter is 90 and Origin will also lie on circle for the same reason, now in triangle ABC tan x = 3/4 and using 90-theta, slope of line BO will be tan (90- theta) = k/h",
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"timestamp": "07/30/2022 16:39:04",
"content": "and he equated them both to give the locus of point B",
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"timestamp": "07/30/2022 16:39:15",
"content": "I understood everything thats written on the screen",
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"timestamp": "07/30/2022 16:39:20",
"content": "what I fail to understand",
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"timestamp": "07/30/2022 16:39:48",
"content": "is how does this satisfy the conditions given?",
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"content": "The way I see it is that, since there are absolutely no restrictions given, point C can translate however it wants along the y-axis hitting a hard limit at y = 5, because at y = 5, point A will be at the origin and I need A to be connected with the x-axis to satisfy the conditions, but then y would translate lower again, as point A goes further along negative x-axis and point B keeps on lowering until it touches the x-axis",
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"timestamp": "07/30/2022 16:42:29",
"content": "All of this, can be said the same for point A along X axis, it will hit a hard cap at x = 5, at which point C will be at origin and B would still be in the first quadrant",
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"timestamp": "07/30/2022 16:43:09",
"content": "So, how circle? why circle? lol like, I dont understand, how does drawing a circle do all this?",
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"timestamp": "07/30/2022 16:58:09",
"content": "@ashllxyy Has your question been resolved?",
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"timestamp": "07/30/2022 17:31:28",
"content": "@ashllxyy Has your question been resolved?",
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"timestamp": "07/30/2022 17:33:59",
"content": "how can someone be sure this circle passes through 4 distinct points?",
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"timestamp": "07/30/2022 17:34:31",
"content": "Hm?",
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"content": "Im not too sure what youre pointing at",
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"timestamp": "07/30/2022 17:36:21",
"content": "there can only be a unique circle which passes through 3 non collinear points",
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"timestamp": "07/30/2022 17:36:49",
"content": "how is it that this circle always touches all 3 vertices of the triangle including origin",
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"timestamp": "07/30/2022 17:37:08",
"content": "becuase you have 90 degrees at the origin, youve already proven that AC is the diameter",
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"timestamp": "07/30/2022 17:37:16",
"content": "and is there any way we can find theta without using circle?",
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"timestamp": "07/30/2022 17:37:25",
"content": "Maybe?",
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"timestamp": "07/30/2022 17:38:09",
"content": "Im not agreeing with the method, Im arguing as to why this method is right. Feels like the constraint isnt about a line moving along the axes anymore, felt like the constraint is for every triangle that lies inside the circle",
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"timestamp": "07/30/2022 17:38:17",
"content": "if yes then that would be the answer to \n> I dont understand, how does drawing a circle do all this?\nits probably because angle can be easily calculated using circle",
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"timestamp": "07/30/2022 17:38:42",
"content": "No again lol",
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"timestamp": "07/30/2022 17:39:10",
"content": "I don't care about whatever we can do with a circle, Im sure we could calculate many angles with the circle",
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"timestamp": "07/30/2022 17:39:33",
"content": "Im asking how does a circle, take care of all these conditons",
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"timestamp": "07/30/2022 17:40:00",
"content": "felt like the question changed from conditions of translating along the axes, to any triangle that lies within that circle",
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"timestamp": "07/30/2022 17:40:02",
"content": "thats my question",
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"timestamp": "07/30/2022 17:40:06",
"content": "how does a circle do that",
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"author_name": "Lvn",
"timestamp": "07/30/2022 17:40:46",
"content": "because the possiblity of point B being present in quadrants other than 1 would be none?",
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"timestamp": "07/30/2022 17:41:02",
"content": "other than 1?",
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"timestamp": "07/30/2022 17:41:07",
"content": "1st",
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"timestamp": "07/30/2022 17:41:18",
"content": "other than being in 1st quadrant",
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"timestamp": "07/30/2022 17:42:32",
"content": "its a shitty drawing but you get the idea",
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"timestamp": "07/30/2022 17:42:46",
"content": "both A and C will still touch the axes",
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"timestamp": "07/30/2022 17:42:55",
"content": "and point B will be -->0+,0+",
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"timestamp": "07/30/2022 17:43:19",
"content": "I satisfy the conditions of the question",
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"timestamp": "07/30/2022 17:43:29",
"content": "but my A and C dont lie on the circle that my sir drew",
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"timestamp": "07/30/2022 17:46:14",
"content": "nice observation, but this angle would always be less than 90 degree in this case ( slighly less than 90) \nthe case when a and c are on -ve axis",
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"timestamp": "07/30/2022 17:46:18",
"content": "try visualising",
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"timestamp": "07/30/2022 17:47:23",
"content": "Yeah",
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"timestamp": "07/30/2022 17:47:28",
"content": "you're right",
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"timestamp": "07/30/2022 17:47:36",
"content": "so",
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"timestamp": "07/30/2022 17:47:54",
"content": "if the bottom goes up,then the left has to go either left or right",
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"timestamp": "07/30/2022 17:48:03",
"content": "if it ggoes left, my B goes in second quadrant",
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"timestamp": "07/30/2022 17:48:14",
"content": "unfavourable",
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"timestamp": "07/30/2022 17:48:30",
"content": "so we go right",
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"timestamp": "07/30/2022 17:48:40",
"content": "well",
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"timestamp": "07/30/2022 17:48:41",
"content": "yes",
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"timestamp": "07/30/2022 17:48:43",
"content": "how about this",
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"timestamp": "07/30/2022 17:49:41",
"content": "there also must be a geometrical proof for why a and c should be on +ve axis for b to be in first quadrant",
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"timestamp": "07/30/2022 17:49:48",
"content": "but if the left goes to the right, the bottom needs to come down",
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"timestamp": "07/30/2022 17:50:04",
"content": "which will also be unfavourable because it pulls down b",
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"timestamp": "07/30/2022 17:50:11",
"content": "and be would lie in 4th quad",
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"timestamp": "07/30/2022 17:50:15",
"content": "b*",
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"author_name": "ashllxyy",
"timestamp": "07/30/2022 17:51:05",
"content": "what about",
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"timestamp": "07/30/2022 17:51:08",
"content": "something like this",
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"timestamp": "07/30/2022 17:51:23",
"content": "b is my topmost angle",
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"timestamp": "07/30/2022 17:51:51",
"content": "you can move the a down as much as you want for right up until the origin",
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"id": 1003057396672909400,
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"timestamp": "07/30/2022 17:51:59",
"content": "it wont lie on the circle",
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"timestamp": "07/30/2022 17:52:09",
"content": "neither will point C leave the x axis",
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"timestamp": "07/30/2022 17:52:20",
"content": "neither will lie on the circle",
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"timestamp": "07/30/2022 17:52:27",
"content": "yet, my B still lies in first quad",
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"timestamp": "07/30/2022 17:52:44",
"content": "they wont be of 4 and 3 lengths then",
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"content": "hm",
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"timestamp": "07/30/2022 17:53:30",
"content": "that does make sense",
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"timestamp": "07/30/2022 17:53:57",
"content": "but if you follow the circle",
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"content": "you also get a point like this",
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"timestamp": "07/30/2022 17:54:55",
"content": "this",
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"timestamp": "07/30/2022 17:55:08",
"content": "and here neither of them will touch the axes",
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"timestamp": "07/30/2022 17:55:16",
"content": "but they will still be 3 and 4",
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"timestamp": "07/30/2022 17:55:24",
"content": "since AC still passes throuhg the center",
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"timestamp": "07/30/2022 17:56:20",
"content": "no what, Im conserving the hypotenuse at 5, Just as much as I move down A, I move C to the right as well, AC = 5 always in the translations im suggesting",
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"author_name": "Lvn",
"timestamp": "07/30/2022 17:57:51",
"content": "um how thats probably the right case where u get ur answer",
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"timestamp": "07/30/2022 17:58:14",
"content": "but im not lying on the circle in that case",
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"timestamp": "07/30/2022 17:58:23",
"content": "that is the right case",
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"timestamp": "07/30/2022 17:58:35",
"content": "Im pointing at the fact that it doesnt fulfill the circle thing",
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"author_name": "Lvn",
"timestamp": "07/30/2022 17:58:37",
"content": "the angle wont be 90 then?",
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"timestamp": "07/30/2022 17:58:45",
"content": "it will be 90",
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"timestamp": "07/30/2022 17:59:26",
"content": "there is no constraint on how much or how less you can/cant pull point B, keep AC on x-y and place B wherever you get 90 and keep AC = 5, you can do all of this and still not contradict any conditions from the question",
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"author_name": "Lvn",
"timestamp": "07/30/2022 17:59:30",
"content": "how couldnt it lie on a circle every right angled triangle can",
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"timestamp": "07/30/2022 18:00:02",
"content": "because the circle doesnt touch the y axis at every point, you clealy see the circle cutting off 2 intercepts on the y axis",
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"author_name": "Lvn",
"timestamp": "07/30/2022 18:03:08",
"content": "the circle moves with the triangle ( circle isnt fixed at a place ) and the amgles are adjusted",
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"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "07/30/2022 18:03:22",
"content": "angles",
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"id": 1003060630535819400,
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"author_name": "ashllxyy",
"timestamp": "07/30/2022 18:04:50",
"content": "Honestly, its a lil tough to grasp, and its like 3 am rn, I did get some insight but Im eager to continue this sometime tomorrow in the day when im fresher in the head",
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"author_name": "ashllxyy",
"timestamp": "07/30/2022 18:05:13",
"content": "Thank you for contributing a lot, I'd been waiting for a reply for a long time lol",
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"author_name": "Lvn",
"timestamp": "07/30/2022 18:06:13",
"content": "same thanks gn",
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"author_name": "ashllxyy",
"timestamp": "07/30/2022 18:06:45",
"content": "Goodnight ❤️ take care",
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"id": 1003061116097802400,
"author_id": 301961698473017340,
"author_name": "ashllxyy",
"timestamp": "07/30/2022 18:06:46",
"content": ".closse",
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},
{
"id": 1003061127908958200,
"author_id": 301961698473017340,
"author_name": "ashllxyy",
"timestamp": "07/30/2022 18:06:48",
"content": ".close",
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"reference": null
},
{
"id": 1003061131755139200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 18:06:49",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
240f8c8b77834ff9af6ad1ab351a9aed
|
197,530 |
[
{
"id": 1003061134494015600,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "07/30/2022 18:06:50",
"content": "btw",
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},
{
"id": 1003061154916073600,
"author_id": 301961698473017340,
"author_name": "ashllxyy",
"timestamp": "07/30/2022 18:06:55",
"content": "dms",
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},
{
"id": 1003061165007581200,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "07/30/2022 18:06:57",
"content": "jee 2024?",
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"reference": null
},
{
"id": 1003061216203260000,
"author_id": 301961698473017340,
"author_name": "ashllxyy",
"timestamp": "07/30/2022 18:07:09",
"content": "no 2022, Im past mains, adv now",
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},
{
"id": 1003061263242383400,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "07/30/2022 18:07:21",
"content": "oh grt gl for adv",
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},
{
"id": 1003061296104751200,
"author_id": 301961698473017340,
"author_name": "ashllxyy",
"timestamp": "07/30/2022 18:07:28",
"content": "❤️ Likewise",
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},
{
"id": 1003061325875908700,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "07/30/2022 18:07:36",
"content": "im 23",
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},
{
"id": 1003076954406265000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 19:09:42",
"content": "Available help channel!",
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},
{
"id": 1003077954236063700,
"author_id": 218453377661534200,
"author_name": "FargothUrIsGone",
"timestamp": "07/30/2022 19:13:40",
"content": "This isn't a homework question\n\nIs there a intuitive guide somewhere for the changes in the angle in a box when you apply a 3d shearing matrix to it? I'm trying to apply an integer shearing matrix to a skewed box to bring it as close to a cube as I can get without changing the volume.",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 19:13:41",
"content": "Pinned a message.",
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"author_name": "FargothUrIsGone",
"timestamp": "07/30/2022 19:27:53",
"content": ".close",
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},
{
"id": 1003081531708952700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 19:27:53",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
47925d5d3bed40a3ad857172b130a41d
|
197,531 |
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"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 19:36:05",
"content": "Available help channel!",
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},
{
"id": 1003083736327397500,
"author_id": 816146219461902300,
"author_name": "Sxfrui",
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"content": "Pinned a message.",
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"author_id": 816146219461902300,
"author_name": "Sxfrui",
"timestamp": "07/30/2022 19:36:46",
"content": "How do you solve this",
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"id": 1003083864903794700,
"author_id": 816146219461902300,
"author_name": "Sxfrui",
"timestamp": "07/30/2022 19:37:09",
"content": "Ik that I can set the left side equal to the right when the 1 isn’t there",
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"timestamp": "07/30/2022 19:37:20",
"content": "But since it’s there idk what to do",
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"author_id": 728158378622189700,
"author_name": "Kookiemon",
"timestamp": "07/30/2022 19:37:31",
"content": "Combine the log terms and then use log rules.",
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"id": 1003083994285473900,
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"author_name": "Sxfrui",
"timestamp": "07/30/2022 19:37:40",
"content": "Oh",
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{
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"author_id": 816146219461902300,
"author_name": "Sxfrui",
"timestamp": "07/30/2022 19:37:47",
"content": "Add log to the left side?",
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"author_name": "Sxfrui",
"timestamp": "07/30/2022 19:37:56",
"content": "And then multiply?",
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"timestamp": "07/30/2022 19:39:17",
"content": "Is this right",
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"id": 1003084475711897700,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "07/30/2022 19:39:35",
"content": "1 can also be written as log 9 (base 9)",
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"timestamp": "07/30/2022 19:39:51",
"content": "Oh",
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"timestamp": "07/30/2022 19:39:53",
"content": "Yes",
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"timestamp": "07/30/2022 19:39:57",
"content": "And then u apply log rules",
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"id": 1003084628258721800,
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"timestamp": "07/30/2022 19:40:11",
"content": "This look right?",
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"timestamp": "07/30/2022 19:49:53",
"content": "Ye",
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"timestamp": "07/30/2022 19:50:00",
"content": "Thanks",
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"author_name": "Kookiemon",
"timestamp": "07/30/2022 20:02:58",
"content": "@Sxfrui When removing the log9, you exponentiate the terms and make the base 9.",
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"author_name": "Kookiemon",
"timestamp": "07/30/2022 20:03:30",
"content": "$9^{\\log_{9}{(x-5)(x+3)}} = 9^{1}$",
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},
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"author_name": "TeXit",
"timestamp": "07/30/2022 20:03:33",
"content": "**Kookiemon**",
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"timestamp": "07/30/2022 20:08:31",
"content": "@Sxfrui Has your question been resolved?",
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"author_name": "HeadShotCem",
"timestamp": "07/30/2022 20:10:41",
"content": "and don’t forget that x-5>0 and x+3>0",
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"timestamp": "07/30/2022 20:13:49",
"content": "@Sxfrui",
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"author_name": "HeadShotCem",
"timestamp": "07/30/2022 20:15:32",
"content": "alternatively:\nlog_9(x-5)=1-log_9(x+3)\nlog_9(x-5)+log_9(x+3)=1\nlog_9[(x-5)(x+3)]=log_9(9)\n(x-5)(x+3)=9",
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},
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"id": 1003095534577393800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 20:23:32",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
1d11446b71474f0da49ea59de9b14bc6
|
197,532 |
[
{
"id": 1003134824715931600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 22:59:39",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003138750521553000,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/30/2022 23:15:15",
"content": "quick question",
"attachments": [],
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},
{
"id": 1003138755357585500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 23:15:16",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1003138750521553000,
"channelId": 486844875632017400,
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}
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"id": 1003138903278104700,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/30/2022 23:15:51",
"content": "How is this defined on R as a whole, cant we write it as e^nlnx",
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"id": 1003138972207296500,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/30/2022 23:16:08",
"content": "and x should be positive for this function to be defined",
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},
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"id": 1003138986459549700,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/30/2022 23:16:11",
"content": "what am i missing here",
"attachments": [],
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},
{
"id": 1003139093317824500,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/30/2022 23:16:37",
"content": "Here n is a natural number",
"attachments": [],
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},
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"id": 1003139179024224400,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/30/2022 23:16:57",
"content": "when n is a real number i understand that it actually is defined only on R+",
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},
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"id": 1003139210624127100,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/30/2022 23:17:05",
"content": "but i dont see the difference",
"attachments": [],
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},
{
"id": 1003140716366663800,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/30/2022 23:23:04",
"content": "!15min",
"attachments": [],
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"reference": null
},
{
"id": 1003140717234884700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 23:23:04",
"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.",
"attachments": [],
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"reference": null
},
{
"id": 1003140795416715400,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/30/2022 23:23:23",
"content": "Did you just immediately delete the ping after sending it",
"attachments": [],
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"reference": null
},
{
"id": 1003141065110470900,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/30/2022 23:24:27",
"content": "Why the fuck would you do that?",
"attachments": [],
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},
{
"id": 1003141139618086900,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/30/2022 23:24:45",
"content": "remembered the rule",
"attachments": [],
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},
{
"id": 1003141377258967000,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "07/30/2022 23:25:41",
"content": "You deleting it makes it worse…",
"attachments": [],
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},
{
"id": 1003142849476427800,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "07/30/2022 23:31:32",
"content": "because it is a polynomial, you can write it like that but it reduces the domain",
"attachments": [],
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"id": 1003143663897018500,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "07/30/2022 23:34:46",
"content": "just because you can write a function in another form doesn't imply that you retain it's domain",
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},
{
"id": 1003143766493900800,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "07/30/2022 23:35:11",
"content": "for example\n$f(x) = \\frac{x^2-1}{x+1}$",
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},
{
"id": 1003143776291795100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/30/2022 23:35:13",
"content": "**Swas.py**",
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"author_name": "Swas.py",
"timestamp": "07/30/2022 23:35:24",
"content": "this can be simplified to f(x)=x-1",
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},
{
"id": 1003143867928940500,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "07/30/2022 23:35:35",
"content": "but it doesn't mean now that x can be any real number",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 23:40:35",
"content": "@Dazzlefishe Has your question been resolved?",
"attachments": [],
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"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/30/2022 23:55:00",
"content": "Well",
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"id": 1003148799771947000,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/30/2022 23:55:11",
"content": "if x^3 is defined on R",
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},
{
"id": 1003148830092574800,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/30/2022 23:55:18",
"content": "wouldnt it mean x^1/3 is also",
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},
{
"id": 1003148865437966500,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/30/2022 23:55:27",
"content": "because its the reciprocal of this function",
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"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 23:55:36",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
09e6bc6c0efd4fd0952a36df02d0a8f6
|
197,533 |
[
{
"id": 1003149044622839900,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "07/30/2022 23:56:09",
"content": "no?",
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"id": 1003149081507528700,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "07/30/2022 23:56:18",
"content": "1/x^3 isn't x^(1/3)",
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},
{
"id": 1003149155696394400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 23:56:36",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003149184834228400,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/30/2022 23:56:43",
"content": "x^1/3 is the reciprocal",
"attachments": [],
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"reference": null
},
{
"id": 1003149186990100600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/30/2022 23:56:43",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1003149184834228400,
"channelId": 486844875632017400,
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}
},
{
"id": 1003149206896263200,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/30/2022 23:56:48",
"content": "1/x^3 is the inverse",
"attachments": [],
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},
{
"id": 1003149301893058600,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/30/2022 23:57:11",
"content": "the reciprocal is defined on the same domain as the original function because its R",
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},
{
"id": 1003149457317175300,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "07/30/2022 23:57:48",
"content": "No",
"attachments": [],
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},
{
"id": 1003149587760042000,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "07/30/2022 23:58:19",
"content": "reciprocal of a function f(x) is 1/f(x), and the inverse is f^-1(x)",
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},
{
"id": 1003149689396400300,
"author_id": 556119013298667500,
"author_name": "Swas.py",
"timestamp": "07/30/2022 23:58:43",
"content": "f(f^-1(x))=x while f(1/f(x)) is not necessarily x",
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},
{
"id": 1003149783747276800,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/30/2022 23:59:06",
"content": "Ah maybe ive mistake the terms",
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},
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"id": 1003149922540982300,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/30/2022 23:59:39",
"content": "anw i just searched it on google and it turns out : x^1/q is defined on all real numbers",
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},
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"id": 1003149950064005200,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/30/2022 23:59:45",
"content": "if q is positive and odd",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 00:00:11",
"content": "which makes sense",
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},
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"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 00:00:42",
"content": "i think i get it now its all good",
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},
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"id": 1003150268290048000,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 00:01:01",
"content": ".close",
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},
{
"id": 1003150270232015000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 00:01:02",
"content": "Channel closed",
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}
] |
help-9
|
c93434e835374759a8f727180ae56475
|
197,534 |
[
{
"id": 1003151709729726500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 00:06:45",
"content": "Available help channel!",
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},
{
"id": 1003171980918411300,
"author_id": 469667735941546000,
"author_name": "alephcomputer",
"timestamp": "07/31/2022 01:27:18",
"content": "I have no idea how to apply AM-GM to this (probably that method IS the one meant to be used), but I'm not sure. Please help.",
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"timestamp": "07/31/2022 01:27:18",
"content": "Pinned a message.",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 01:41:31",
"content": "i dont think you can use am-gm because the inequality sign might be the wrong way for that",
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},
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"id": 1003176819186466800,
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"timestamp": "07/31/2022 01:46:31",
"content": "@alephcomputer Has your question been resolved?",
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"author_name": "alephcomputer",
"timestamp": "07/31/2022 01:47:54",
"content": "I see, what can I use then?",
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"id": 1003177234925899800,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 01:48:10",
"content": "im thinking about it",
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},
{
"id": 1003177626258640900,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 01:49:44",
"content": "i was thinking cauchy schwarz but i believe that is also the wrong direction",
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{
"id": 1003177962595696600,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 01:51:04",
"content": "heres proof by calculator lmao",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 01:54:30",
"content": "its slightly bashy but you could do something like this",
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"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 01:55:35",
"content": "in other words",
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"id": 1003179214956146800,
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"author_name": "alephcomputer",
"timestamp": "07/31/2022 01:56:03",
"content": "i see",
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},
{
"id": 1003179334330232800,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 01:56:31",
"content": "oh wait you still have to deal with the lot of fractions with unlike denominators",
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},
{
"id": 1003179548709494800,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 01:57:22",
"content": "this is a \"trivial\" step but im gonna move the 1 over so we have it from 2 to 99 < 2",
"attachments": [],
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},
{
"id": 1003180288026886100,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 02:00:18",
"content": "this is less than two O_o",
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"id": 1003180346273185900,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 02:00:32",
"content": "forgot to include the value lol",
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"id": 1003180500392874000,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 02:01:09",
"content": "do you get what the floor stuff does?",
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},
{
"id": 1003180523889365000,
"author_id": 469667735941546000,
"author_name": "alephcomputer",
"timestamp": "07/31/2022 02:01:15",
"content": "Yes, I do",
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},
{
"id": 1003180540834349200,
"author_id": 469667735941546000,
"author_name": "alephcomputer",
"timestamp": "07/31/2022 02:01:19",
"content": "But I doubt I can use it",
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},
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"timestamp": "07/31/2022 02:01:23",
"content": "hmm",
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"content": "@GarlicBredFries Look",
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"content": "whats up",
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"timestamp": "07/31/2022 02:03:39",
"content": "These two are the same thing",
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"timestamp": "07/31/2022 02:03:44",
"content": "yes",
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"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 02:05:36",
"content": "i usually kept it as n^(-3/2)",
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"timestamp": "07/31/2022 02:07:30",
"content": "I see",
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"timestamp": "07/31/2022 02:09:17",
"content": "ngl this looks a lot better than the one above",
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"timestamp": "07/31/2022 02:11:54",
"content": "this simplifies to \n$\\frac{1}{2\\sqrt{2}}+\\frac{1}{3\\sqrt{3}}+\\frac{5}{8}+\\frac{7}{27}+\\frac{9}{64}+\\frac{11}{125}+\\frac{13}{216}+\\frac{15}{343}+\\frac{17}{512}+\\frac{19}{729}$",
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"author_name": "TeXit",
"timestamp": "07/31/2022 02:11:57",
"content": "**GarlicBredFries**",
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"author_name": "alephcomputer",
"timestamp": "07/31/2022 02:13:36",
"content": "that is very specfic",
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"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 02:15:00",
"content": "this is the only thing i could find that lied in between the original expression and 3",
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"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 02:15:16",
"content": "something that was \"easier\" to calculate at least",
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"timestamp": "07/31/2022 02:24:39",
"content": "I see",
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"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 02:26:05",
"content": "it wasnt really based on rigor tho, i wish i had a better idea",
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"author_name": "alephcomputer",
"timestamp": "07/31/2022 02:27:08",
"content": "@GarlicBredFries Well I have another problem that I'm working on along with this one",
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"author_name": "alephcomputer",
"timestamp": "07/31/2022 02:27:10",
"content": "Wanna try it?",
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"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 02:27:16",
"content": "sure why not",
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"author_name": "alephcomputer",
"timestamp": "07/31/2022 02:28:06",
"content": "Here",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 02:28:35",
"content": "that is a decimal point right?",
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"id": 1003187423938887700,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 02:28:40",
"content": "sorry, american here",
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"id": 1003191235676221400,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 02:43:48",
"content": "i cant figure either of these out they are very difficult",
"attachments": [],
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"author_name": "alephcomputer",
"timestamp": "07/31/2022 02:49:35",
"content": "yea",
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"timestamp": "07/31/2022 02:49:47",
"content": "I see",
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"id": 1003193547761139700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/31/2022 02:53:00",
"content": "Probably riemann sum. Draw the function and bound it from the left and right endpoints.",
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},
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"timestamp": "07/31/2022 02:54:57",
"content": "oh",
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"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 02:54:59",
"content": "boring",
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},
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"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 03:19:47",
"content": "@alephcomputer Has your question been resolved?",
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"timestamp": "07/31/2022 04:21:19",
"content": "@alephcomputer Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
d1604d270b6c4970ab91b8b76f954c81
|
197,535 |
[
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"timestamp": "07/31/2022 05:29:40",
"content": "Available help channel!",
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"id": 1003240255991853200,
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"author_name": "Halliverd 1-1",
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"content": "How?",
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"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "07/31/2022 06:02:39",
"content": "x^2 + y^2 < 4x",
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"content": "1) Subtract 4x\n2) Add 4 on both sides\n3) Use 2nd binomial formula",
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"timestamp": "07/31/2022 06:06:45",
"content": "Thank you",
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},
{
"id": 1003242364531392600,
"author_id": 399070072360009700,
"author_name": "Halliverd 1-1",
"timestamp": "07/31/2022 06:06:59",
"content": ".close",
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"content": "Channel closed",
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] |
help-9
|
0cae14e2c71b4f9987d87c2d8284c0a2
|
197,536 |
[
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"content": "Available help channel!",
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"id": 1003249792056574000,
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"content": "Pinned a message.",
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"content": "why is there a -1/k when i take the integral?",
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"timestamp": "07/31/2022 06:36:55",
"content": "(integral of the left side)",
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"timestamp": "07/31/2022 06:52:01",
"content": "i don't get it:/",
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"timestamp": "07/31/2022 06:52:17",
"content": "but i'm not getting the result",
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"content": "1/(f(x)",
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"content": "alright thanks",
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"content": ".close",
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] |
help-9
|
627e44a34fc3465985bbeae3ab4835e6
|
197,537 |
[
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"timestamp": "04/01/2022 07:45:01",
"content": "Oh wait I was about to answer your question but I misread it so I can't because it's not true. e^(-pi) is like 0.04 or something. e^(-pi×i) on the other hand is actually -1",
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"content": "Pinned a message.",
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"timestamp": "04/01/2022 08:00:02",
"content": "@Ilith Has your question been resolved?",
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"content": "Yeah exactly so I'm not sure if I missed something during the derivation because they have a (-1) but not 0.04",
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] |
help-9
|
ebe54ba4e68342bbaebee87a84255f32
|
197,538 |
[
{
"id": 1003262296853860500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 07:26:11",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003263300915703800,
"author_id": 376339325811556350,
"author_name": "Artoria",
"timestamp": "07/31/2022 07:30:10",
"content": "sin(2x+30)=1 GENERAL SOLUTIONS",
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"reference": null
},
{
"id": 1003263303004475500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 07:30:11",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
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"messageId": 1003263300915703800,
"channelId": 486844875632017400,
"guildId": null
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},
{
"id": 1003263540783747100,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "07/31/2022 07:31:07",
"content": "What have you tried",
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"reference": null
},
{
"id": 1003263673667686400,
"author_id": 376339325811556350,
"author_name": "Artoria",
"timestamp": "07/31/2022 07:31:39",
"content": "sin2x=0.5",
"attachments": [],
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"reference": null
},
{
"id": 1003263818505392100,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "07/31/2022 07:32:14",
"content": "Good, that's wrong",
"attachments": [],
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"reference": null
},
{
"id": 1003263833504239600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/31/2022 07:32:17",
"content": "how did you go from sin(2x + 30) = 1 to sin(2x) = 1/2?",
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},
{
"id": 1003263845189558300,
"author_id": 376339325811556350,
"author_name": "Artoria",
"timestamp": "07/31/2022 07:32:20",
"content": "thought so",
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},
{
"id": 1003263859995447300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/31/2022 07:32:23",
"content": "also are we working in radians or degrees?",
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},
{
"id": 1003263914764673000,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "07/31/2022 07:32:37",
"content": "You might want to also elaborate more on what your thoughts are",
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"reference": null
},
{
"id": 1003263918845722600,
"author_id": 376339325811556350,
"author_name": "Artoria",
"timestamp": "07/31/2022 07:32:37",
"content": "i forgot how to expand sin(2x + 30) = 1 this lol",
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},
{
"id": 1003263943608901600,
"author_id": 376339325811556350,
"author_name": "Artoria",
"timestamp": "07/31/2022 07:32:43",
"content": "lhs",
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},
{
"id": 1003263964811112400,
"author_id": 376339325811556350,
"author_name": "Artoria",
"timestamp": "07/31/2022 07:32:48",
"content": "degrees",
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},
{
"id": 1003263988030775300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/31/2022 07:32:54",
"content": "from sin(2x+30) = 1, get 2x + 30 = 90 + 360n",
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},
{
"id": 1003264093236494300,
"author_id": 376339325811556350,
"author_name": "Artoria",
"timestamp": "07/31/2022 07:33:19",
"content": "where does the 360n come from",
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{
"id": 1003264155651932200,
"author_id": 376339325811556350,
"author_name": "Artoria",
"timestamp": "07/31/2022 07:33:34",
"content": "do u just always add that to rhs with general solutions",
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},
{
"id": 1003264181082001400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/31/2022 07:33:40",
"content": "periodicity of the sine function",
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},
{
"id": 1003264276829589600,
"author_id": 376339325811556350,
"author_name": "Artoria",
"timestamp": "07/31/2022 07:34:03",
"content": "yeah but u jsut randomly added it to the equation",
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},
{
"id": 1003264314418933800,
"author_id": 376339325811556350,
"author_name": "Artoria",
"timestamp": "07/31/2022 07:34:12",
"content": "is that coz its finding general solutions",
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},
{
"id": 1003264334627090600,
"author_id": 376339325811556350,
"author_name": "Artoria",
"timestamp": "07/31/2022 07:34:17",
"content": "so u do that with the equation",
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},
{
"id": 1003264390755262500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/31/2022 07:34:30",
"content": "i didn't \"randomly\" add it",
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},
{
"id": 1003264506614513700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/31/2022 07:34:58",
"content": "the equation sin(t) = 1 has only one solution on its fundamental period [0, 360°): t = 90°",
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},
{
"id": 1003264529951641700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/31/2022 07:35:03",
"content": "all others differ from this by a multiple of 360°",
"attachments": [],
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"reference": null
},
{
"id": 1003264770302038100,
"author_id": 376339325811556350,
"author_name": "Artoria",
"timestamp": "07/31/2022 07:36:00",
"content": "when finding the general solution do u always add this to the rhs",
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"id": 1003264890007470200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/31/2022 07:36:29",
"content": "no",
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},
{
"id": 1003264968302530700,
"author_id": 376339325811556350,
"author_name": "Artoria",
"timestamp": "07/31/2022 07:36:48",
"content": "ok thanks",
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"reference": null
},
{
"id": 1003264982366032000,
"author_id": 376339325811556350,
"author_name": "Artoria",
"timestamp": "07/31/2022 07:36:51",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1003264983439773700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 07:36:51",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
6185e5e20d7e4e48855be30c314a7ca5
|
197,539 |
[
{
"id": 1003265488505286700,
"author_id": 376339325811556350,
"author_name": "Artoria",
"timestamp": "07/31/2022 07:38:52",
"content": "for this question actually",
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"reference": null
},
{
"id": 1003265542989295700,
"author_id": 376339325811556350,
"author_name": "Artoria",
"timestamp": "07/31/2022 07:39:05",
"content": "why is it just x=30+ 180n",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003265578359849100,
"author_id": 376339325811556350,
"author_name": "Artoria",
"timestamp": "07/31/2022 07:39:13",
"content": "and not x=150+180n as well",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003265583938273300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/31/2022 07:39:14",
"content": ".reopen",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003265587994181800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 07:39:15",
"content": "✅",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003265639923847300,
"author_id": 376339325811556350,
"author_name": "Artoria",
"timestamp": "07/31/2022 07:39:28",
"content": "since sin(30)=sin(150)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003265738682929200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/31/2022 07:39:51",
"content": "in the future, if you have some followups after the channel is closed, you need to reopen it.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003265772493226000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/31/2022 07:39:59",
"content": "i've already done it for you this time, but just for future reference.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003265860338733000,
"author_id": 376339325811556350,
"author_name": "Artoria",
"timestamp": "07/31/2022 07:40:20",
"content": "i understand thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003265871269085300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/31/2022 07:40:23",
"content": "anyway, sin(2x+30) is not sin(x)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003265890072154100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/31/2022 07:40:27",
"content": "if you try to plug in x = 150 + 180n,",
"attachments": [],
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"reference": null
},
{
"id": 1003265932363317200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/31/2022 07:40:38",
"content": "you will have 2x + 30 = 330 + 360n",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003265944392577000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/31/2022 07:40:40",
"content": "and the sine of that is not 1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003266058288894100,
"author_id": 376339325811556350,
"author_name": "Artoria",
"timestamp": "07/31/2022 07:41:08",
"content": "ah okay thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003266066518118500,
"author_id": 376339325811556350,
"author_name": "Artoria",
"timestamp": "07/31/2022 07:41:10",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003266068195852300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 07:41:10",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
8f5385baadb343c5be371dc1028e1dbe
|
197,540 |
[
{
"id": 1003268108267561100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 07:49:16",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003270699202383900,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 07:59:34",
"content": "Why is the final bit of working out 1(1+4+9+16)",
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{
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},
{
"id": 1003270701324697600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 07:59:35",
"content": "Pinned a message.",
"attachments": [],
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},
{
"id": 1003272257621213200,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:05:46",
"content": "so",
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"reference": null
},
{
"id": 1003272284833861600,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:05:52",
"content": "y = sqrtx",
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"reference": null
},
{
"id": 1003272333823311900,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:06:04",
"content": "so u gotta look at the values u have been given, which are the y axis",
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"reference": null
},
{
"id": 1003272386084343800,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:06:16",
"content": "to get a y value of 4, what does x need to be",
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},
{
"id": 1003272404728033300,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:06:21",
"content": "@KTB",
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"name": "KTB",
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"id": 1003272796249522300,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:07:54",
"content": "",
"attachments": [
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"id": 1003272800640958600,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:07:55",
"content": "yeah ive got this sorted",
"attachments": [],
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"reference": null
},
{
"id": 1003272822526841000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:08:00",
"content": "yep",
"attachments": [],
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},
{
"id": 1003272825634816000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:08:01",
"content": "then",
"attachments": [],
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},
{
"id": 1003272875270226000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:08:13",
"content": "to find an area of a rectangle, whats the formula",
"attachments": [],
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},
{
"id": 1003272952927756300,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:08:31",
"content": "lxw",
"attachments": [],
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"reference": null
},
{
"id": 1003272977082748900,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:08:37",
"content": "yup",
"attachments": [],
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},
{
"id": 1003272978458484900,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:08:37",
"content": "L = length w = width",
"attachments": [],
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},
{
"id": 1003273013925519400,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:08:46",
"content": "whats ur width for the top rectangle",
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},
{
"id": 1003273066970886300,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:08:59",
"content": "how far across the x axis is it spanning",
"attachments": [],
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},
{
"id": 1003273123136803000,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:09:12",
"content": "well when y = 4 x = 16",
"attachments": [],
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},
{
"id": 1003273172453429200,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:09:24",
"content": "so its 16 long",
"attachments": [],
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},
{
"id": 1003273191130665000,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:09:28",
"content": "right..",
"attachments": [],
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},
{
"id": 1003273196444860400,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:09:29",
"content": "now how tall is the rectangle",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003273235397345400,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:09:39",
"content": "1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003273247585996800,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:09:42",
"content": "so",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003273271162187800,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:09:47",
"content": "u get 1 * 16",
"attachments": [],
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"reference": null
},
{
"id": 1003273283082408000,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:09:50",
"content": "1(1 + 4+9+16)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003273284902731800,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:09:51",
"content": "1 * 9",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003273288044257300,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:09:51",
"content": "ahhh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003273297200418800,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:09:53",
"content": "1 * 4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003273321489645600,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:09:59",
"content": "1 * 1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003273352695255200,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:10:07",
"content": "u a king",
"attachments": [],
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},
{
"id": 1003273387021455400,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:10:15",
"content": "it can be factorised into 1 * (1+4+9+16)",
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},
{
"id": 1003273403882553300,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:10:19",
"content": "ur all good g",
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},
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"id": 1003273412174684200,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:10:21",
"content": "thank you 🤝",
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},
{
"id": 1003273414661902500,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:10:21",
"content": "u had all the parts",
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},
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"id": 1003273429782376400,
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"author_name": "shavet",
"timestamp": "07/31/2022 08:10:25",
"content": "just gotta see it come tog",
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},
{
"id": 1003273440381382700,
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"timestamp": "07/31/2022 08:10:28",
"content": "all good homie",
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},
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"id": 1003273453761204200,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:10:31",
"content": "ur the real king",
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},
{
"id": 1003273466318962700,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:10:34",
"content": "lmao",
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"id": 1003273490339733600,
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"author_name": "KTB",
"timestamp": "07/31/2022 08:10:40",
"content": "thank you g",
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},
{
"id": 1003273503212064900,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:10:43",
"content": ".close",
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},
{
"id": 1003273505116266500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 08:10:43",
"content": "Channel closed",
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}
] |
help-9
|
9b616321a68b4d9f933eb05f30071907
|
197,541 |
[
{
"id": 1003274160983769100,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:13:19",
"content": ".reopen",
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},
{
"id": 1003274166335717500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 08:13:21",
"content": "✅",
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},
{
"id": 1003274181976264700,
"author_id": 383934103487119360,
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"timestamp": "07/31/2022 08:13:24",
"content": "@shavet sorry to bother",
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"name": "shavet",
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"id": 1003274291367907500,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:13:50",
"content": "but isnt what we are doing simply adding the areas of the rectangles together",
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},
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"timestamp": "07/31/2022 08:14:04",
"content": "is that the purpose of the question i lowkey dont understand",
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"id": 1003274680184082600,
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"timestamp": "07/31/2022 08:15:23",
"content": "yeap",
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"author_name": "shavet",
"timestamp": "07/31/2022 08:15:25",
"content": "it literally is",
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"id": 1003274703235993600,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:15:29",
"content": "r u from australia?",
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"id": 1003274725193166800,
"author_id": 383934103487119360,
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"timestamp": "07/31/2022 08:15:34",
"content": "ye",
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"timestamp": "07/31/2022 08:15:39",
"content": "we have to do this in australia as an introduction to integrals",
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"timestamp": "07/31/2022 08:15:41",
"content": "im from sa",
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"author_name": "KTB",
"timestamp": "07/31/2022 08:15:46",
"content": "yeah im doing methods",
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"timestamp": "07/31/2022 08:15:47",
"content": "and we did this in spec maths",
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"timestamp": "07/31/2022 08:15:52",
"content": "oh right, interesting",
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"timestamp": "07/31/2022 08:15:56",
"content": "spesh lmao fk that",
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"timestamp": "07/31/2022 08:16:01",
"content": "wait, we did this in methods actually",
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"content": "yeah my teacher just skipped over this part lol",
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"content": "its just an intro to integrals",
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"timestamp": "07/31/2022 08:16:18",
"content": "\"easy enough\"",
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"timestamp": "07/31/2022 08:16:22",
"content": "never really learnt it lol",
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"timestamp": "07/31/2022 08:16:22",
"content": "so, in the question u just did, the rectangles were 1 cm",
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"timestamp": "07/31/2022 08:16:27",
"content": "and u get a value",
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"content": "what would happen if u did rectangles every 0.5 cm",
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"timestamp": "07/31/2022 08:16:48",
"content": "1/2(everything else)",
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"timestamp": "07/31/2022 08:16:59",
"content": "well, you would have more rectangles",
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"timestamp": "07/31/2022 08:17:04",
"content": "oh sorry",
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"timestamp": "07/31/2022 08:17:09",
"content": "i thought u meant like the height",
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"timestamp": "07/31/2022 08:17:14",
"content": "and the number would decrease",
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"timestamp": "07/31/2022 08:17:17",
"content": "nup, ur all good ahhaha",
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"timestamp": "07/31/2022 08:17:22",
"content": "now imagine u did 0.1",
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"timestamp": "07/31/2022 08:17:25",
"content": "and then 0.01]",
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"timestamp": "07/31/2022 08:17:36",
"content": "and u kept getting smaller, till the rectangles basically fit the line",
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"timestamp": "07/31/2022 08:17:45",
"content": "u get the area of the curve",
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"timestamp": "07/31/2022 08:18:03",
"content": "thats what integration is, finding the area under the curve",
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"timestamp": "07/31/2022 08:18:06",
"content": "does that make sense?",
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"timestamp": "07/31/2022 08:18:15",
"content": "yeah i sortve get ya",
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"timestamp": "07/31/2022 08:18:23",
"content": "i just dont understand the use of rectangles",
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"id": 1003275464665731200,
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"timestamp": "07/31/2022 08:18:30",
"content": "in this scenario",
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"timestamp": "07/31/2022 08:18:36",
"content": "im just finding the area and adding each one",
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"timestamp": "07/31/2022 08:18:49",
"content": "its a way to estimate the area under the curve",
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"timestamp": "07/31/2022 08:19:08",
"content": "because rectangles fill in all the space from 0 to 4 under the curve",
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"timestamp": "07/31/2022 08:20:01",
"content": "but dont we only want the area under the curve",
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"timestamp": "07/31/2022 08:20:09",
"content": "like the shaded part here",
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"content": "from 4 -> 0",
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"timestamp": "07/31/2022 08:20:24",
"content": "ohhh",
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"timestamp": "07/31/2022 08:20:37",
"content": "so ngl the question is pretty stupid bcoz they have done a sideways curve",
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"timestamp": "07/31/2022 08:20:45",
"content": "just imagine the y axis is actually x",
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"timestamp": "07/31/2022 08:21:09",
"content": "do u see how as i added more rectangles, it becomes closer to the actual space under the curve",
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"timestamp": "07/31/2022 08:21:36",
"content": "wdym closer",
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"timestamp": "07/31/2022 08:21:46",
"content": "like, more accurate",
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"id": 1003276312716255400,
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"timestamp": "07/31/2022 08:21:52",
"content": "some what yeah",
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"timestamp": "07/31/2022 08:22:08",
"content": "now imagine i used 10000 rectangles",
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"timestamp": "07/31/2022 08:22:14",
"content": "they would almost exactly match the curve",
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"timestamp": "07/31/2022 08:22:19",
"content": "yeah right",
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"content": "so these are typically just used as an estimation",
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"timestamp": "07/31/2022 08:22:49",
"content": "yup",
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"timestamp": "07/31/2022 08:22:58",
"content": "but like for this - its asking for approximation right: and its saying to calculate areas of rectangles",
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"timestamp": "07/31/2022 08:23:10",
"content": "but dont we want the area under the curve",
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"timestamp": "07/31/2022 08:23:25",
"content": "in the case of your question",
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"timestamp": "07/31/2022 08:23:29",
"content": "theyve done it sideways",
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"timestamp": "07/31/2022 08:23:38",
"content": "but in 99% of questions, itll be area under curve",
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"timestamp": "07/31/2022 08:23:48",
"content": "but for htis right",
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"timestamp": "07/31/2022 08:23:55",
"content": "if i had the exact same question",
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"timestamp": "07/31/2022 08:24:01",
"content": "would i still use the same question",
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"author_name": "KTB",
"timestamp": "07/31/2022 08:24:06",
"content": "imagine y = x^2 or something",
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},
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"author_name": "shavet",
"timestamp": "07/31/2022 08:24:14",
"content": "yup, you could use the same process",
"attachments": [],
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"id": 1003276928775639000,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:24:19",
"content": "but why?",
"attachments": [],
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},
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"id": 1003276948878938100,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:24:24",
"content": "for an estimation",
"attachments": [],
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"id": 1003276988422832100,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:24:34",
"content": "ok, do u want to hop onto a vc for a sec?",
"attachments": [],
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"id": 1003277000049446900,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:24:36",
"content": "i can explain",
"attachments": [],
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{
"id": 1003277014544953500,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:24:40",
"content": "will be alot easier",
"attachments": [],
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},
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"id": 1003277035847819400,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:24:45",
"content": "nah - i think im starting to get it but its just going past me",
"attachments": [],
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},
{
"id": 1003277053140942800,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:24:49",
"content": "im tired asf as well lmao",
"attachments": [],
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"id": 1003277070585045000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:24:53",
"content": "yea nah ur all good",
"attachments": [],
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"id": 1003277085151858700,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:24:57",
"content": "the part of the rectangle",
"attachments": [],
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},
{
"id": 1003277098049339500,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:25:00",
"content": "thats the only part",
"attachments": [],
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},
{
"id": 1003277174758965400,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:25:18",
"content": "thats above the curve",
"attachments": [],
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},
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"id": 1003277184699474000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:25:20",
"content": "the rectangle is just an estimate for what the actual area would be",
"attachments": [],
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},
{
"id": 1003277231600189400,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:25:32",
"content": "so, you can either underestimate, or overestimate",
"attachments": [],
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"id": 1003277268723966100,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:25:40",
"content": "by doing rectangles under or over the curve",
"attachments": [],
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"id": 1003277283496300500,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:25:44",
"content": "so 0-4",
"attachments": [],
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},
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"id": 1003277310155313200,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:25:50",
"content": "under or over",
"attachments": [],
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},
{
"id": 1003277317201744000,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:25:52",
"content": "so thats why everytime u add a rectangle it gets more approximate?",
"attachments": [],
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},
{
"id": 1003277376937005000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:26:06",
"content": "the top graph is over, the bottom graph is under",
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},
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"id": 1003277389893214200,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:26:09",
"content": "yup",
"attachments": [],
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},
{
"id": 1003277451763400700,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:26:24",
"content": "it minimises the extra space, or the missing space",
"attachments": [],
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},
{
"id": 1003277483057086500,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:26:31",
"content": "with the over right - are you still estimating",
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"id": 1003277503873417200,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:26:36",
"content": "yup",
"attachments": [],
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},
{
"id": 1003277514413715600,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:26:39",
"content": "both are estimates",
"attachments": [],
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},
{
"id": 1003277529584513000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:26:43",
"content": "because they arent exact",
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"id": 1003277549549391900,
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"author_name": "KTB",
"timestamp": "07/31/2022 08:26:47",
"content": "okay yeah that makes sense",
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{
"id": 1003277569027739600,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:26:52",
"content": "only way to get the exact answer is to do the integral",
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{
"id": 1003277599516131300,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:26:59",
"content": "which you will probably learn very soon",
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"id": 1003277601969799200,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:27:00",
"content": "such a goofy way of introduciung it",
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},
{
"id": 1003277615223820300,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:27:03",
"content": "yea ahhahaha",
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},
{
"id": 1003277675701481600,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:27:17",
"content": "i literally just ignored the teacher when we learnt it",
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},
{
"id": 1003277677467279500,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:27:18",
"content": "ive actually been introduced to all that",
"attachments": [],
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},
{
"id": 1003277692046680000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:27:21",
"content": "ohhhh",
"attachments": [],
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},
{
"id": 1003277702901539000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:27:24",
"content": "ur backtracking",
"attachments": [],
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},
{
"id": 1003277705569108000,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:27:25",
"content": "i understand everythig",
"attachments": [],
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},
{
"id": 1003277719892668400,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:27:28",
"content": "this makes more sense now",
"attachments": [],
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},
{
"id": 1003277723751428100,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:27:29",
"content": "but this we never got taught",
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},
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"id": 1003277750414618600,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:27:35",
"content": "because it was 'easy'",
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},
{
"id": 1003277756353740800,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:27:37",
"content": "or something",
"attachments": [],
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},
{
"id": 1003277759595950100,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:27:37",
"content": "yea its just a stupid way to teach",
"attachments": [],
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},
{
"id": 1003277807624933500,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:27:49",
"content": "like i know all the integral stuff",
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},
{
"id": 1003277844320899100,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:27:58",
"content": "its so easy, that the hardest part is understanding why they teach it",
"attachments": [],
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},
{
"id": 1003277859143565300,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:28:01",
"content": "i still dont even know that",
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},
{
"id": 1003277883164336300,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:28:07",
"content": "its pre chill but some questions make my brain explode",
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{
"id": 1003277955763540100,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:28:24",
"content": "i think they assume everyone has the mathematical knowledge of 6 year olds, and we need rectangles to learn",
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"id": 1003277979406835700,
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"author_name": "KTB",
"timestamp": "07/31/2022 08:28:30",
"content": "lmao",
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},
{
"id": 1003278012814479500,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:28:38",
"content": "ye idk",
"attachments": [],
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},
{
"id": 1003278057362161700,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:28:48",
"content": "basically, u do length x width to find the rectangles, and u add them up to find the estimate",
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},
{
"id": 1003278147615199200,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:29:10",
"content": "see that makes sense",
"attachments": [],
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},
{
"id": 1003278179374473200,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:29:17",
"content": "whatever i was reading in the textbook was goofy as hell",
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{
"id": 1003278232717623300,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:29:30",
"content": "yea ignore the text book",
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},
{
"id": 1003278246638534800,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:29:34",
"content": "lmao",
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},
{
"id": 1003278247473197000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:29:34",
"content": "but yea gl w yr 12",
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"id": 1003278284395647100,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:29:43",
"content": "thanks boss",
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},
{
"id": 1003278299079909500,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:29:46",
"content": "np g",
"attachments": [],
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},
{
"id": 1003278300279492700,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:29:46",
"content": "im sure itll turn out fine",
"attachments": [],
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},
{
"id": 1003278333305426000,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:29:54",
"content": "just ping me if u need help",
"attachments": [],
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},
{
"id": 1003278347247308800,
"author_id": 989024731132993500,
"author_name": "shavet",
"timestamp": "07/31/2022 08:29:57",
"content": "or dm or whatever idrc",
"attachments": [],
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},
{
"id": 1003278349130547200,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:29:58",
"content": "legend",
"attachments": [],
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"reference": null
},
{
"id": 1003278371289059300,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:30:03",
"content": "ill send a friend req through",
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},
{
"id": 1003278383213461600,
"author_id": 383934103487119360,
"author_name": "KTB",
"timestamp": "07/31/2022 08:30:06",
"content": ".close",
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},
{
"id": 1003278385159614500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 08:30:07",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
9fb6f885550248afaea5bd9ac9f9feba
|
197,542 |
[
{
"id": 1003278638042583000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 08:31:07",
"content": "Available help channel!",
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},
{
"id": 1003280407162278000,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "07/31/2022 08:38:09",
"content": "How do i do this question w no calculator no idea where to start",
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"content": "Pinned a message.",
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"id": 1003280862974066700,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "07/31/2022 08:39:57",
"content": "cross multiply each term, use a^2-b^2=a+b)(a-b\ncancel terms",
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},
{
"id": 1003281401174573000,
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"author_name": "Mothy",
"timestamp": "07/31/2022 08:42:06",
"content": "i dont understand...",
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},
{
"id": 1003282049148403800,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "07/31/2022 08:44:40",
"content": "like the first term can be written as \n(1.3)/2.2, second term (2.4)/(3.3) ... and so on",
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"timestamp": "07/31/2022 08:44:44",
"content": "here dot means multiplication",
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"id": 1003282274516746200,
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"timestamp": "07/31/2022 08:45:34",
"content": "why can it be written like that",
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"timestamp": "07/31/2022 08:47:19",
"content": "cross multiply each term, use a^2-b^2=a+b)(a-b",
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"timestamp": "07/31/2022 08:49:18",
"content": "i dont understand the cross multiply part",
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"id": 1003283274778562600,
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"timestamp": "07/31/2022 08:49:32",
"content": "ik the perfect square thing",
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"content": "nvm.",
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"author_name": "Mothy",
"timestamp": "07/31/2022 08:53:03",
"content": "but if u do it that way wouldnt the denominator become rlly large because u still have to multiply each term?",
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"timestamp": "07/31/2022 09:01:36",
"content": ".close",
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"timestamp": "07/31/2022 09:01:36",
"content": "Channel closed",
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}
] |
help-9
|
7511c97a3090478cbcd7e2a60cf9307d
|
197,543 |
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"timestamp": "07/31/2022 09:02:36",
"content": "Available help channel!",
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"timestamp": "07/31/2022 09:03:05",
"content": "Pinned a message.",
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"author_name": "Harsh Kumar",
"timestamp": "07/31/2022 09:03:36",
"content": "Plz help me to find domain by appl conditions for numerator and denominator?? 🙏",
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},
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"id": 1003286924871606400,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "07/31/2022 09:04:03",
"content": "You really should stop posting in multiple channel and just stick to one",
"attachments": [],
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},
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"author_name": "waler",
"timestamp": "07/31/2022 09:04:24",
"content": "It's not going to make this any quicker, just focus on what others are trying to say",
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},
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"id": 1003287061580751000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/31/2022 09:04:35",
"content": "also you have asked this same q before",
"attachments": [],
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"id": 1003287066995597300,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/31/2022 09:04:36",
"content": "did you try searching for this?",
"attachments": [],
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"timestamp": "07/31/2022 09:04:42",
"content": "it's kind of rude to ask it multiple times",
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},
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"author_name": "monke",
"timestamp": "07/31/2022 09:05:24",
"content": "",
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"id": 1003287602880852100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/31/2022 09:06:44",
"content": "wtf is that, i haven't clicked play\nis that sfw, is that something you should be posting",
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},
{
"id": 1003287651899682800,
"author_id": 982955199096307700,
"author_name": "Harsh Kumar",
"timestamp": "07/31/2022 09:06:56",
"content": "I didn't understand clearly that's why I posted here🥺",
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},
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"id": 1003287711358132400,
"author_id": 982955199096307700,
"author_name": "Harsh Kumar",
"timestamp": "07/31/2022 09:07:10",
"content": "Anyone know hindi?",
"attachments": [],
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},
{
"id": 1003287796615741600,
"author_id": 982955199096307700,
"author_name": "Harsh Kumar",
"timestamp": "07/31/2022 09:07:30",
"content": "Which can I clear my doubt quickly?",
"attachments": [],
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"reference": null
},
{
"id": 1003287838147752000,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/31/2022 09:07:40",
"content": "uhhhhhhhh",
"attachments": [],
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"id": 1003287857181491200,
"author_id": 581500765068329000,
"author_name": "TheDoktor",
"timestamp": "07/31/2022 09:07:45",
"content": "sfw, but not needed",
"attachments": [],
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"reference": null
},
{
"id": 1003287866484473900,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "07/31/2022 09:07:47",
"content": "😭",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003288318030643300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "07/31/2022 09:09:35",
"content": "> I didn't understand clearly that's why I posted here\nif you had any issues with your question, ask in the original channel your question was being discussed in",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003288363220082700,
"author_id": 246677641199878140,
"author_name": "muffin button",
"timestamp": "07/31/2022 09:09:45",
"content": "me and Lvn#7443 already helped him on #help-0｜penben \n\n(please, see if my answers were clear and give me pointers if possible)",
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"id": 1003288464495747100,
"author_id": 370477136340844540,
"author_name": "monke",
"timestamp": "07/31/2022 09:10:10",
"content": "muffin button da coolest fr",
"attachments": [],
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},
{
"id": 1003288590203232400,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "07/31/2022 09:10:40",
"content": "sorry but too lazy to have to read that whole conversation",
"attachments": [],
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},
{
"id": 1003288628845355100,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "07/31/2022 09:10:49",
"content": "just ask them what they are finding not clear about and explain",
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},
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"id": 1003288635841462300,
"author_id": 246677641199878140,
"author_name": "muffin button",
"timestamp": "07/31/2022 09:10:50",
"content": "no problem",
"attachments": [],
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},
{
"id": 1003291572550508500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 09:22:31",
"content": "@Harsh Kumar Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 09:23:04",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
25266caab1c44a1b832d3744832bddd1
|
197,544 |
[
{
"id": 1003291964738904000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 09:24:04",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1003292564390158500,
"author_id": 667385854687182800,
"author_name": "Kulsgam",
"timestamp": "07/31/2022 09:26:27",
"content": "What is the reason you add 1 to the integral?\nEven if you don't add 1 shouldn't it be greater than the series?",
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"timestamp": "07/31/2022 09:26:28",
"content": "Pinned a message.",
"attachments": [],
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"id": 1003292718530842600,
"author_id": 667385854687182800,
"author_name": "Kulsgam",
"timestamp": "07/31/2022 09:27:04",
"content": "If anyone wants how they arrive at this, here you go",
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"author_name": "Gamer Dio",
"timestamp": "07/31/2022 09:31:04",
"content": "The curve is an upper bound for 1/2² + 1/3² + ..., but we want an upper bound for 1 + 1/2² + 1/3² + ... This is clearly one greater than the first series, so we just need to add 1 to the first series to get an upper bound for the second",
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"timestamp": "07/31/2022 09:42:04",
"content": "@Kulsgam Has your question been resolved?",
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"author_name": "Kulsgam",
"timestamp": "07/31/2022 09:43:29",
"content": "it isn't?\nwe get this from 1",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/31/2022 09:46:05",
"content": "Look at the second graph on your first image. The area under the curve of 1/x² from 1 to ∞ is clearly bigger than the area of those rectangles. Those rectangles, being a right reimann sum, have areas 1/2², 1/3², 1/4², etc. Thus the total area of the rectangles is 1/2² + 1/3² + 1/4² + ...\n\nTherefore the integral from 1 to ∞ is an upper bound to 1/2² + ..., which is not the sum we're taking.",
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"id": 1003298036954431500,
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"author_name": "Kulsgam",
"timestamp": "07/31/2022 09:48:12",
"content": "why do the rectangles start from 1/2^2 instead of 1/1^2?\nn=1 right? so it starts from 1",
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"author_name": "Gamer Dio",
"timestamp": "07/31/2022 09:50:01",
"content": "Look at the second graph on the first image again. What's the height of the first rectangle? f(2), right? Which is 1/2². Repeat for the other rectangles.\n\nThe first image shows the case you're thinking of, however the integral is then a _lower_ bound.",
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"author_name": "Kulsgam",
"timestamp": "07/31/2022 09:51:16",
"content": "ohh ok",
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"author_name": "Kulsgam",
"timestamp": "07/31/2022 09:51:18",
"content": "I understand",
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},
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"id": 1003298888050020400,
"author_id": 667385854687182800,
"author_name": "Kulsgam",
"timestamp": "07/31/2022 09:51:35",
"content": "but then when you take the lower bound why would the upper limit be n+1?",
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"id": 1003298979343249400,
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"author_name": "Kulsgam",
"timestamp": "07/31/2022 09:51:57",
"content": "Even if you do start with 1",
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"id": 1003299005477949400,
"author_id": 667385854687182800,
"author_name": "Kulsgam",
"timestamp": "07/31/2022 09:52:03",
"content": "doesn't mean you should stop at n+1",
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"id": 1003299023387631700,
"author_id": 667385854687182800,
"author_name": "Kulsgam",
"timestamp": "07/31/2022 09:52:07",
"content": "you should stop at n right?",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/31/2022 09:53:18",
"content": "Let's say n is 3. Then we have 1 + 1/2² + 1/3². That's 3 rectangles. The third rectangle (looking at the first image) ends at x = 4, 1 more than our n",
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"id": 1003299357937897500,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "07/31/2022 09:53:27",
"content": "This applies for all n",
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},
{
"id": 1003299567825059800,
"author_id": 667385854687182800,
"author_name": "Kulsgam",
"timestamp": "07/31/2022 09:54:17",
"content": "ahh",
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},
{
"id": 1003299580911308900,
"author_id": 667385854687182800,
"author_name": "Kulsgam",
"timestamp": "07/31/2022 09:54:20",
"content": "alright",
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},
{
"id": 1003299596627353600,
"author_id": 667385854687182800,
"author_name": "Kulsgam",
"timestamp": "07/31/2022 09:54:24",
"content": "thanks bro",
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},
{
"id": 1003299610879606800,
"author_id": 667385854687182800,
"author_name": "Kulsgam",
"timestamp": "07/31/2022 09:54:27",
"content": ".close",
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},
{
"id": 1003299612704133100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 09:54:28",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
c8445e294c5c4bcba1f6545f1e2e385c
|
197,545 |
[
{
"id": 1003304189578989700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 10:12:39",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003304616315867300,
"author_id": 332164791143759900,
"author_name": "tarık b.",
"timestamp": "07/31/2022 10:14:21",
"content": "Hi. Is there something wrong with the following proof:",
"attachments": [],
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"reference": null
},
{
"id": 1003304618681450500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 10:14:21",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1003304616315867300,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1003304665309519900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "07/31/2022 10:14:32",
"content": "**tarık b.**",
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},
{
"id": 1003305879958978600,
"author_id": 332164791143759900,
"author_name": "tarık b.",
"timestamp": "07/31/2022 10:19:22",
"content": "nvm I did something stupid.",
"attachments": [],
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"reference": null
},
{
"id": 1003305979703742600,
"author_id": 332164791143759900,
"author_name": "tarık b.",
"timestamp": "07/31/2022 10:19:46",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003305981209477100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 10:19:46",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
49956ee27c024d30b4f48274fff40057
|
197,546 |
[
{
"id": 1003319972333899800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 11:15:22",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003321011556581500,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:19:29",
"content": "@Ann how do you know the series you proposed converges",
"attachments": [],
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{
"id": 183668144404037630,
"name": "Ann",
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},
{
"id": 1003321013641171100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 11:19:30",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1003321011556581500,
"channelId": 486844875632017400,
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}
},
{
"id": 1003321128791593100,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:19:57",
"content": "1/2+2/2+3/2....",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003321235066847400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/31/2022 11:20:23",
"content": "it's three geometric series with ratio 1/2 and first terms 1, 2 and 3, interleaved",
"attachments": [],
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"reference": null
},
{
"id": 1003321336715825200,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:20:47",
"content": "can it be written out?",
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"timestamp": "07/31/2022 11:20:59",
"content": "define written out",
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"timestamp": "07/31/2022 11:21:05",
"content": "un=n^2",
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"author_name": "Ann",
"timestamp": "07/31/2022 11:21:06",
"content": "you mean like a formula for its general term?",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:21:09",
"content": "kind of written out",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:21:11",
"content": "yeah",
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"author_name": "Ann",
"timestamp": "07/31/2022 11:21:26",
"content": "are you ok with zero-indexing",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:21:45",
"content": "go ahead because i am not sure what that is",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:21:48",
"content": "so its fine",
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"timestamp": "07/31/2022 11:21:49",
"content": "starting from u_0",
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"timestamp": "07/31/2022 11:21:50",
"content": "$u_n = \\frac{(n \\mod 3) + 1}{2^{\\floor{n/3} + 1}}$",
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"timestamp": "07/31/2022 11:21:52",
"content": "**Ann**",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:22:21",
"content": "Ouf",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:22:24",
"content": "that is crazy",
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"author_name": "Ann",
"timestamp": "07/31/2022 11:22:34",
"content": "not very",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:22:55",
"content": "yeah i understand it its just impossible to come up with",
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"timestamp": "07/31/2022 11:23:03",
"content": "why not",
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"timestamp": "07/31/2022 11:23:16",
"content": "you can take any convergent series you like and interleave 3 copies of it in a similar fashion",
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"timestamp": "07/31/2022 11:23:27",
"content": "1/n^2?",
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"author_name": "Ann",
"timestamp": "07/31/2022 11:23:43",
"content": "1/1 + 2/1 + 3/1 + 1/4 + 2/4 + 3/4 + 1/9 + 2/9 + 3/9 + ...",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:24:00",
"content": "okay got",
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"timestamp": "07/31/2022 11:24:01",
"content": "it",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:24:06",
"content": "thanks a lot Ann",
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"timestamp": "07/31/2022 11:24:09",
"content": "you're amazing",
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"timestamp": "07/31/2022 11:32:09",
"content": ".close",
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{
"id": 1003324200334929900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 11:32:10",
"content": "Channel closed",
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}
] |
help-9
|
0aa1a959a8004c04acf8be1935136b03
|
197,547 |
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"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 11:33:10",
"content": "Available help channel!",
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"content": "help",
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"timestamp": "07/31/2022 11:35:02",
"content": "Pinned a message.",
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"timestamp": "07/31/2022 11:35:36",
"content": "un is positive show that the series converges",
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"timestamp": "07/31/2022 11:37:22",
"content": "that sounds like it might be nicely written in terms of a matrix. that might not actually be allowed but i'd try it",
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"timestamp": "07/31/2022 11:40:32",
"content": "Waw lol",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:40:49",
"content": "how would that even help lol",
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"id": 1003326468593549300,
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"timestamp": "07/31/2022 11:41:11",
"content": "no idea! but then you have one thing that you're manipulating instead of N many :)",
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"timestamp": "07/31/2022 11:41:36",
"content": "Please show me how to even translate this into matrices",
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"timestamp": "07/31/2022 11:41:47",
"content": "its even more interesting than the actual answer lol",
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"timestamp": "07/31/2022 11:42:21",
"content": "i'm imagining the vector space whose vectors are sequences of real numbers, whose addition is pointwise addition",
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"timestamp": "07/31/2022 11:43:08",
"content": "each inequality says `(0,0,...0,1,1,...,1,0,0,...) * u <= 1/n * (1,1,...,1,0,0,...) * u`",
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"timestamp": "07/31/2022 11:43:37",
"content": "subtract the LHS and stack all the inequalities into one and you get `Au>=0` for some A",
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"timestamp": "07/31/2022 11:44:23",
"content": "(and if you're allowed to say \"un is positive\" then i'm also allowed to say \">=0\" there :) )",
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"timestamp": "07/31/2022 11:44:39",
"content": "Okay",
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"timestamp": "07/31/2022 11:44:59",
"content": "this would definitely be interesting to see play out its definitely not the intended answer lol",
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"timestamp": "07/31/2022 11:46:32",
"content": "~~clearly if we can show that u converges it'll converge to 0, agreed?~~ oh, the series",
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"author_name": "Gurkenglas",
"timestamp": "07/31/2022 11:47:26",
"content": "so we want `(1,1,...) * u is finite`, that fits reasonably well into the above framework :)",
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"timestamp": "07/31/2022 11:49:02",
"content": "i dont get it did you get somewhere?",
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"timestamp": "07/31/2022 11:49:46",
"content": "\"the series converges\" just means \"the sum of all un is finite\", right?",
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"timestamp": "07/31/2022 11:50:28",
"content": "yes",
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"author_name": "Ann",
"timestamp": "07/31/2022 11:51:01",
"content": "let $S_n = \\sum_{k=1}^n u_k$, then we know that $(\\forall n \\in \\bN^*)(S_{2n} - S_n \\leq \\frac1n S_n)$",
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"timestamp": "07/31/2022 11:51:03",
"content": "**Ann**",
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"timestamp": "07/31/2022 11:51:29",
"content": "i did this i didnt feel it got me anywhere",
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"timestamp": "07/31/2022 11:51:44",
"content": "$S_{2n} \\leq \\paren{1 + \\frac{1}{n}}S_n$",
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"timestamp": "07/31/2022 11:51:51",
"content": "**Ann**",
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"timestamp": "07/31/2022 11:52:10",
"content": "you can use this to argue that $S_{2^m} \\leq u_1 \\cdot \\prod_{k=1}^m (1 + 2^{-k})$",
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"timestamp": "07/31/2022 11:52:13",
"content": "**Ann**",
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"timestamp": "07/31/2022 11:52:37",
"content": "and the infinite product $\\prod_{k=1}^{\\infty} (1 + 2^{-k})$ converges",
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"content": "**Ann**",
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"timestamp": "07/31/2022 11:53:15",
"content": "(oh right, I had found that inequality, but didn't note that I could just pick a fast enough subsequence to make that product converge)",
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"timestamp": "07/31/2022 11:53:48",
"content": "wait how?",
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"timestamp": "07/31/2022 11:53:52",
"content": "induction",
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"id": 1003329754134483000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/31/2022 11:54:14",
"content": "maybe the upper limit in the product should be m-1 instead idk",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:54:20",
"content": "yeah but dont we get S(2^k*n)< Sn(1+1/n)^k",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:54:26",
"content": "or something like this?",
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"id": 1003329812246581200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/31/2022 11:54:28",
"content": "wat",
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"id": 1003329863568076900,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:54:40",
"content": "lol i wish i knew latex",
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"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "07/31/2022 11:54:45",
"content": "i mean you know $S_1 = u_1$ right",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:54:56",
"content": "I mean S4n< s2n(1+1/n) right?",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:55:15",
"content": "and S2n<Sn(1+1/n)",
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},
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"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:55:28",
"content": "so we have S4n< Sn(1+1/n)^2",
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"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:55:33",
"content": "is that what you did?",
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"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:56:15",
"content": "oh wait no this doesnt work sorry",
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},
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:56:28",
"content": "no just forget it",
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"timestamp": "07/31/2022 11:56:32",
"content": "what did you do then?",
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"timestamp": "07/31/2022 11:56:51",
"content": "S_2 ≤ 3/2 S_1\nS_4 ≤ 5/4 S_2\nS_8 ≤ 9/8 S_4\nS_16 ≤ 17/16 S_8",
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"timestamp": "07/31/2022 11:56:52",
"content": "and so on",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 11:57:44",
"content": "Oh right",
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"timestamp": "07/31/2022 11:58:30",
"content": "that the series doesn't converge is equivalent to: for every r there's an s>r such that the sum of terms from r to s is at least 1. that feels like it ought to be usable here",
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"timestamp": "07/31/2022 11:59:29",
"content": "i still dont understand this part",
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"timestamp": "07/31/2022 11:59:53",
"content": "right",
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"timestamp": "07/31/2022 11:59:58",
"content": "harmonic series argument",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 12:00:45",
"content": "do you mean S1?",
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"timestamp": "07/31/2022 12:00:51",
"content": "instead of u1",
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"id": 1003331453586780300,
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"timestamp": "07/31/2022 12:00:59",
"content": ".",
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"author_name": "Gurkenglas",
"timestamp": "07/31/2022 12:05:30",
"content": "i think the proof goes something like: if the series grows beyond every bound, then u1 is also larger than every bound",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 12:07:11",
"content": "S2<= 2 S1 right?",
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"timestamp": "07/31/2022 12:07:24",
"content": "and S4 <= 3/2 S2",
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"timestamp": "07/31/2022 12:07:55",
"content": "our inequality says nothing about S_3 actually",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 12:08:13",
"content": "sorry",
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"timestamp": "07/31/2022 12:08:40",
"content": "Suppose the series grows beyond a at the bth term. then the part of a that is in the first b/2 is at least b/2 times larger than the part in the second half. keep halving b and losing almost nothing, until you've got your new lower bound on u1",
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"timestamp": "07/31/2022 12:08:51",
"content": "ok but yes it does appear i made an off by one error",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 12:09:07",
"content": "whats the formula now?",
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"timestamp": "07/31/2022 12:09:39",
"content": "well it's still S_{2^m} ≤ u_1 * prod[k=1,m] **something**",
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"timestamp": "07/31/2022 12:09:47",
"content": "i dont understand",
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"author_name": "Gurkenglas",
"timestamp": "07/31/2022 12:09:50",
"content": "thus, the question reduces to the whether a particular series converges :)",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 12:09:55",
"content": "Wait i still dont get whats u1?",
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"timestamp": "07/31/2022 12:10:05",
"content": "u_1 is the first term in your series, dingus",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 12:10:16",
"content": "AH fuck sorry S1=u1 lol",
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"author_name": "Gurkenglas",
"timestamp": "07/31/2022 12:10:17",
"content": "oh it appears Ann is doing pretty much the same thing I'm doing",
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"timestamp": "07/31/2022 12:10:46",
"content": "i tried to keep up but your reasoning is complicated can you explain more?",
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"timestamp": "07/31/2022 12:10:53",
"content": "i dont ge tthis",
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"timestamp": "07/31/2022 12:11:06",
"content": "what part of it",
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 12:11:19",
"content": "then the part of a that is in the first b/2 is at least b/2 times larger than the part in the second half",
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"id": 1003334171592237000,
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"author_name": "Gurkenglas",
"timestamp": "07/31/2022 12:11:47",
"content": "a is the sum from 1 to b. that's the sum from 1 to b/2 plus the sum from b/2 to b",
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"id": 1003334437444001800,
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"author_name": "Gurkenglas",
"timestamp": "07/31/2022 12:12:50",
"content": "that lets us apply one of the inequalities from the task statement: the sum from 1 to b/2 is at least (b/2) times the sum from b/2 to b",
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"id": 1003334599390285800,
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"author_name": "Gurkenglas",
"timestamp": "07/31/2022 12:13:29",
"content": "if b is 20, then the sum from 1 to 10 is at least 10 times the sum from 11 to 20",
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"id": 1003334636136571000,
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 12:13:38",
"content": "right",
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"id": 1003334658366390400,
"author_id": 153980634421788670,
"author_name": "Gurkenglas",
"timestamp": "07/31/2022 12:13:43",
"content": "so 10/11 of the sum from 1 to b is in its first half",
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"id": 1003334724175016000,
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"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 12:13:59",
"content": "Okay amazing",
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"id": 1003334744378970200,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 12:14:04",
"content": "I got it",
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"id": 1003334747981873400,
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"author_name": "Gurkenglas",
"timestamp": "07/31/2022 12:14:04",
"content": "so 10/11 times 5/6 times ... is in the first element",
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"id": 1003334760074059900,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 12:14:07",
"content": "Incredible",
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"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 12:14:15",
"content": "cant thank you enough",
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},
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"id": 1003334806312071200,
"author_id": 153980634421788670,
"author_name": "Gurkenglas",
"timestamp": "07/31/2022 12:14:18",
"content": "so prove that this product converges",
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"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 12:14:36",
"content": "product of numbers smaller than 1 lol?",
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"author_name": "Gurkenglas",
"timestamp": "07/31/2022 12:15:34",
"content": "😅 i mean as a gets bigger this gives you higher and higher bounds on u1 no matter how quickly b grows",
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"id": 1003335481506938900,
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"author_name": "Gurkenglas",
"timestamp": "07/31/2022 12:16:59",
"content": "because 1/2 * 2/3 * 4/5 * 8/9 * ... converges",
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"id": 1003335717570744400,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "07/31/2022 12:17:56",
"content": "yes",
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"author_name": "Gurkenglas",
"timestamp": "07/31/2022 12:22:14",
"content": "i wonder, if you answered on a test \"yes because 1/2 * 2/3 * 4/5 * 8/9 * ... converges because <proof of that>\" would you get full points?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 12:32:56",
"content": "@Dazzlefishe Has your question been resolved?",
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"timestamp": "07/31/2022 12:47:56",
"content": "Channel closed",
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] |
help-9
|
02d3f6bbc3f94f6da9085f316fbefb3c
|
197,548 |
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"id": 955646048087466000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "03/21/2022 21:56:12",
"content": "No problem.",
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"id": 955647813889433600,
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"timestamp": "03/21/2022 22:03:13",
"content": "Available help channel!",
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{
"id": 955648005573312500,
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"timestamp": "03/21/2022 22:04:00",
"content": "Pinned a message.",
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"timestamp": "03/21/2022 22:04:17",
"content": "嗯",
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"content": "That green arrow pointed is wrong right",
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"id": 955648162519986200,
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"content": "It should be positive instead",
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"timestamp": "03/21/2022 22:07:33",
"content": "this is the graph of cot",
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"timestamp": "03/21/2022 22:07:52",
"content": "pi is 180 degrees",
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"author_name": "jayson",
"timestamp": "03/21/2022 22:08:26",
"content": "so if u move forwards 180 degrees at any point, u will end up with the same value",
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"timestamp": "03/21/2022 22:10:23",
"content": "I can’t understand the graph, I only know it gonna end up in third quadrant where x and y are both negative",
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"content": "angle + 180 degrees is same as just the angle on its own",
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"timestamp": "03/21/2022 22:12:16",
"content": "But the book says it’s negative",
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"timestamp": "03/21/2022 22:12:24",
"content": "Here",
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"id": 955650465448738800,
"author_id": 925043916682690600,
"author_name": "jayson",
"timestamp": "03/21/2022 22:13:46",
"content": "it can't go from positive to negative or vice versa when it's tan or cot when you add or remove 180 degrees because:",
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"timestamp": "03/21/2022 22:13:47",
"content": "",
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"id": 955650728909746200,
"author_id": 925043916682690600,
"author_name": "jayson",
"timestamp": "03/21/2022 22:14:48",
"content": "notice how when you do 180 degrees anywhere, the opposite is always the same",
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"id": 955650748371321000,
"author_id": 708594064060055600,
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"timestamp": "03/21/2022 22:14:53",
"content": "Yes then it should be cot theta",
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"timestamp": "03/21/2022 22:14:59",
"content": "ye",
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"author_name": "PB",
"timestamp": "03/21/2022 22:15:01",
"content": "It’s positive",
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"author_name": "jayson",
"timestamp": "03/21/2022 22:15:03",
"content": "book is wrong i guess",
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"id": 955650845138120700,
"author_id": 925043916682690600,
"author_name": "jayson",
"timestamp": "03/21/2022 22:15:16",
"content": "burn the book xd",
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"id": 955650858819944400,
"author_id": 708594064060055600,
"author_name": "PB",
"timestamp": "03/21/2022 22:15:19",
"content": "Nice that mean I’m right",
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"timestamp": "03/21/2022 22:15:23",
"content": "Sure",
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"timestamp": "03/21/2022 22:15:30",
"content": "I think the question is solved",
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"id": 955650921050808300,
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"author_name": "PB",
"timestamp": "03/21/2022 22:15:34",
"content": "Thank you so much",
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"content": "np 😄",
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"timestamp": "03/21/2022 22:18:59",
"content": ".close",
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"timestamp": "03/21/2022 22:18:59",
"content": "Channel closed",
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}
] |
help-9
|
7db1e7ff66c248f2a8b4538ba7a34942
|
197,549 |
[
{
"id": 959425911126655000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 08:16:02",
"content": "Available help channel!",
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},
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"id": 959427205207818400,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
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"content": "Hey",
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},
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"id": 959427296475877400,
"author_id": 605717874383913000,
"author_name": "omer",
"timestamp": "04/01/2022 08:21:32",
"content": "what do u need to do here",
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"id": 959427463665025200,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:22:12",
"content": "A slope tangent to the graph of the function at a point (0,-1/3) is -1/18",
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"id": 959427483357294700,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:22:17",
"content": "I need to find A and B",
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},
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"id": 959427523333206100,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:22:26",
"content": "I can't seem to solve this",
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"id": 959427563174912000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/01/2022 08:22:36",
"content": "what have you tried?",
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},
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"id": 959427635744747500,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:22:53",
"content": "i tried to d/dx the function",
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},
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"id": 959427970223722600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/01/2022 08:24:13",
"content": "can you show your work?",
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"id": 959428135336673300,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:24:52",
"content": "yes",
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"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:25:28",
"content": "this is what i did so far",
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"author_name": "Marshmallow",
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"content": "",
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"id": 959428903427006600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/01/2022 08:27:55",
"content": "derivative of `x + b` isn't x",
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},
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"id": 959429072579076200,
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"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:28:36",
"content": "oh",
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},
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"id": 959429077339619300,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:28:37",
"content": "its 1",
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},
{
"id": 959429082964189300,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:28:38",
"content": "right",
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},
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"id": 959429470928916600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/01/2022 08:30:11",
"content": "yes",
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},
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"id": 959429768393130000,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:31:22",
"content": "alright then what do i do",
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"id": 959429819895005200,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:31:34",
"content": "because i always keep having A and B no matter how i proceed",
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"id": 959429971607179300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/01/2022 08:32:10",
"content": "what did you attempt after that?",
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},
{
"id": 959430071234494600,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:32:34",
"content": "i tried to take down the upper denominator",
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},
{
"id": 959430154768240600,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:32:54",
"content": "so i'm left with x+b-2(x+a)/(x+b)^2",
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"id": 959430737877151700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/01/2022 08:35:13",
"content": "wdym by take down the upper denominator",
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},
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"id": 959430845851127800,
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"author_name": "ramonov",
"timestamp": "04/01/2022 08:35:39",
"content": "not seeing how you're getting that",
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{
"id": 959430968211562600,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:36:08",
"content": "ye clearly it was a mistake",
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{
"id": 959431031700721700,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:36:23",
"content": "can i take like X+B down along with one of the X+B's from the denominator?",
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},
{
"id": 959431172369305700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/01/2022 08:36:56",
"content": "you can manipulate the fraction properly if you want",
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"id": 959431181689036800,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:36:59",
"content": "take down refers to reduce ofc",
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},
{
"id": 959431273582067800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/01/2022 08:37:20",
"content": "though the next meaningful step would be to use the given information",
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},
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"id": 959431388619239400,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:37:48",
"content": "manipulate? wdym",
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"id": 959431447670816800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/01/2022 08:38:02",
"content": "simplify and do whatever legitimate etc",
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},
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"id": 959431939914350700,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:39:59",
"content": "i still dont think i manage to solve this lol",
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},
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"id": 959432931338760200,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:43:56",
"content": "Could anyone help me with this?",
"attachments": [],
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},
{
"id": 959433822745788400,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:47:28",
"content": ".close",
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},
{
"id": 959433823920222200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 08:47:29",
"content": "Channel closed",
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}
] |
help-9
|
88b298eb600044ec8a01312c43061bcd
|
197,550 |
[
{
"id": 1003343522264518800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 12:48:56",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1003347105789780000,
"author_id": 585888303018934300,
"author_name": "s0wi",
"timestamp": "07/31/2022 13:03:11",
"content": "guys how do i find the domain and range?",
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"id": 1003347108520284200,
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"timestamp": "07/31/2022 13:03:11",
"content": "Pinned a message.",
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{
"id": 1003347975373865000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "07/31/2022 13:06:38",
"content": "Do you know what domain is?",
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},
{
"id": 1003348281021173800,
"author_id": 585888303018934300,
"author_name": "s0wi",
"timestamp": "07/31/2022 13:07:51",
"content": "is (infinity, infinity) the interval?",
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},
{
"id": 1003348327573766300,
"author_id": 585888303018934300,
"author_name": "s0wi",
"timestamp": "07/31/2022 13:08:02",
"content": "oh wait let me change my question",
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},
{
"id": 1003348390026944500,
"author_id": 585888303018934300,
"author_name": "s0wi",
"timestamp": "07/31/2022 13:08:17",
"content": "how do i know if there’s a limitation in the equation?",
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},
{
"id": 1003349220432031700,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "07/31/2022 13:11:35",
"content": "i guess ud have to know how the domain of some standard functions work?",
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"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 13:23:21",
"content": "@s0wi Has your question been resolved?",
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"timestamp": "07/31/2022 13:38:17",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
6b322bc91c1944bd82cc160b8bb539c8
|
197,551 |
[
{
"id": 1003371604903985200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 14:40:32",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1003372161202933800,
"author_id": 910363293477122000,
"author_name": "arsonist",
"timestamp": "07/31/2022 14:42:44",
"content": "I need help to solve wether or not the functions are inverse of one another and their answers",
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"timestamp": "07/31/2022 14:42:45",
"content": "Pinned a message.",
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"id": 1003372380812484600,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "07/31/2022 14:43:37",
"content": "Ok",
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},
{
"id": 1003372433195151400,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "07/31/2022 14:43:49",
"content": "Do you know how to do it?",
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},
{
"id": 1003372570898341900,
"author_id": 910363293477122000,
"author_name": "arsonist",
"timestamp": "07/31/2022 14:44:22",
"content": "Not really the explanation the system has isn’t very helpful",
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"reference": null
},
{
"id": 1003372834728448100,
"author_id": 910363293477122000,
"author_name": "arsonist",
"timestamp": "07/31/2022 14:45:25",
"content": "I know what an inverse function is",
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},
{
"id": 1003372848070537200,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "07/31/2022 14:45:28",
"content": "Inverse of a function, let's say f(x) =2x-1, you can also say it was y=2x-1 now swap x and y to make y the subject",
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"timestamp": "07/31/2022 14:45:54",
"content": "Yea I get that part but this wants me to solve it as well",
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"id": 1003373021546946600,
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"timestamp": "07/31/2022 14:46:10",
"content": "The example showed me numbers but I don’t know where they had got it from",
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"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "07/31/2022 14:46:49",
"content": "Where is the example?",
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"timestamp": "07/31/2022 14:47:09",
"content": "Here let me take a picture of it",
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"timestamp": "07/31/2022 14:48:10",
"content": "It’s shows me how to do it but I don’t understand it",
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"author_name": "Diesel",
"timestamp": "07/31/2022 14:52:05",
"content": "Now do you know how to find composite functions?",
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"id": 1003374560663568500,
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"timestamp": "07/31/2022 14:52:17",
"content": "No",
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"id": 1003375116438225000,
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"timestamp": "07/31/2022 14:54:29",
"content": "I was never taught how to",
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"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "07/31/2022 14:55:07",
"content": "You put one inside the other",
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"author_name": "Diesel",
"timestamp": "07/31/2022 14:55:36",
"content": "So f(g(x)) you put g(x) inside f(x)",
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "07/31/2022 14:56:02",
"content": "Do you understand the concept of functions, like for instance, f(x) = 3x, what does f(3) mean?",
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"timestamp": "07/31/2022 14:56:13",
"content": "Yes I do",
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"timestamp": "07/31/2022 14:56:26",
"content": "g(x) is (x+5)/2",
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"author_name": "dldh06",
"timestamp": "07/31/2022 14:56:27",
"content": "Because instead of plugging in 3 into the function, you're putting in a function instead",
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"timestamp": "07/31/2022 14:56:44",
"content": "So now find f((x+5)/2)",
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"timestamp": "07/31/2022 14:57:12",
"content": "So f(g(x)) is the same concept as f(3), except this time, you plug in g(x) into f(x)",
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"timestamp": "07/31/2022 14:57:35",
"content": "Ye",
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"id": 1003375928178643000,
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"timestamp": "07/31/2022 14:57:43",
"content": "Oh okay",
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"timestamp": "07/31/2022 14:59:12",
"content": "Thank you that clears things up",
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"timestamp": "07/31/2022 15:00:45",
"content": "The answer would be x same via versa they both Cancel one another out leaving x alone",
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"timestamp": "07/31/2022 15:01:24",
"content": "Not sure what you mean by cancel but ok",
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"timestamp": "07/31/2022 15:03:17",
"content": "Like 2(x+5/2) the 2s cancel out since x+5 is being both multiplied and divided by 2",
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"timestamp": "07/31/2022 15:03:31",
"content": "Cool ok",
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"timestamp": "07/31/2022 15:03:39",
"content": "Yea but thank you for your help",
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"id": 1003377490728849400,
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"timestamp": "07/31/2022 15:03:55",
"content": ".close",
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},
{
"id": 1003377492301725800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 15:03:56",
"content": "Channel closed",
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}
] |
help-9
|
2f4e948c44824901937a4d9b347d1bcf
|
197,552 |
[
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"author_id": 805217272087838700,
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"timestamp": "07/31/2022 15:10:24",
"content": "Available help channel!",
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},
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"timestamp": "07/31/2022 15:52:57",
"content": "Quick question, why is 2nd option incorrect? I solved and got 4th correct",
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"timestamp": "07/31/2022 15:52:57",
"content": "Pinned a message.",
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"content": "Ohh shit",
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"content": "Got it",
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"content": "Nvm",
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"content": "Sorry",
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"content": ".close",
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] |
help-9
|
e386bb7c020c40179b58f1bbfdf8a9d3
|
197,553 |
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},
{
"id": 1003394329974427800,
"author_id": 250371559808565250,
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"timestamp": "07/31/2022 16:10:50",
"content": "Could I have some help with this question",
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{
"id": 1003394331928973300,
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"content": "Pinned a message.",
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"timestamp": "07/31/2022 16:10:59",
"content": "Im not quite sure",
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"id": 1003394393161596900,
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"timestamp": "07/31/2022 16:11:05",
"content": "How Im supposed to this",
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"content": "Im assuming",
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"timestamp": "07/31/2022 16:11:53",
"content": "We find this",
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"author_name": "Kihei",
"timestamp": "07/31/2022 16:12:01",
"content": "you can make a triangle with pythagorean theorem",
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"timestamp": "07/31/2022 16:12:15",
"content": "yup",
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"timestamp": "07/31/2022 16:12:15",
"content": "Yes however,",
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"timestamp": "07/31/2022 16:12:17",
"content": "From AB",
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"timestamp": "07/31/2022 16:12:20",
"content": "AM*",
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"id": 1003394725249822700,
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"author_name": "Mimir",
"timestamp": "07/31/2022 16:12:24",
"content": "I would need that",
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"content": "Measurment",
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"timestamp": "07/31/2022 16:12:35",
"content": "And these are both 8",
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"timestamp": "07/31/2022 16:12:37",
"content": "so what would be AM",
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"content": "yeah so this is actually a 2 step process",
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"content": "first find AM",
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"content": "using the half of the base lengths",
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"timestamp": "07/31/2022 16:12:56",
"content": "Ye I did that but",
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"timestamp": "07/31/2022 16:12:58",
"content": "In the textbook",
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"timestamp": "07/31/2022 16:13:01",
"content": "Like answers",
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"timestamp": "07/31/2022 16:13:03",
"content": "Wait il getit rq",
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"timestamp": "07/31/2022 16:13:53",
"content": "So it gets the AM value with a formula ive never seen before",
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"timestamp": "07/31/2022 16:14:16",
"content": "well, they did use pythagorean theorem too",
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"timestamp": "07/31/2022 16:14:21",
"content": "but they found AC",
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"timestamp": "07/31/2022 16:14:23",
"content": "and divided by 2 to find AM",
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"timestamp": "07/31/2022 16:14:42",
"content": "Oh I see",
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"author_name": "Mimir",
"timestamp": "07/31/2022 16:14:49",
"content": "So they used the pytahgero therom divided by 2",
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},
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"id": 1003395359650881500,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "07/31/2022 16:14:55",
"content": "yeah exactly",
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},
{
"id": 1003395392827838600,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "07/31/2022 16:15:03",
"content": "and then you know how to do the second part, AT?",
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},
{
"id": 1003395680276054100,
"author_id": 250371559808565250,
"author_name": "Mimir",
"timestamp": "07/31/2022 16:16:12",
"content": "Yes",
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},
{
"id": 1003395694800945300,
"author_id": 250371559808565250,
"author_name": "Mimir",
"timestamp": "07/31/2022 16:16:15",
"content": "Pythagerom therom again",
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},
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"id": 1003395697908916200,
"author_id": 250371559808565250,
"author_name": "Mimir",
"timestamp": "07/31/2022 16:16:16",
"content": "Thanks",
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},
{
"id": 1003395734558740600,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "07/31/2022 16:16:25",
"content": "mhm np",
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"id": 1003395761783984300,
"author_id": 250371559808565250,
"author_name": "Mimir",
"timestamp": "07/31/2022 16:16:31",
"content": ".close",
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},
{
"id": 1003395763193262200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 16:16:32",
"content": "Channel closed",
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}
] |
help-9
|
0f4d42e198fb47de83d5e6b4dfec5878
|
197,554 |
[
{
"id": 1003396855180304400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 16:20:52",
"content": "Available help channel!",
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},
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"id": 1003399827352195100,
"author_id": 438498520895455200,
"author_name": "TJG - Senpai",
"timestamp": "07/31/2022 16:32:41",
"content": "How can I graph an inequality of 3x+_< 12",
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},
{
"id": 1003399829596155900,
"author_id": 805217272087838700,
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"content": "Pinned a message.",
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"author_id": 438498520895455200,
"author_name": "TJG - Senpai",
"timestamp": "07/31/2022 16:33:03",
"content": "Can’t put less then or equal to in text",
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},
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"id": 1003399990854549500,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 16:33:20",
"content": "3x + what",
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"reference": null
},
{
"id": 1003400105447149700,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 16:33:47",
"content": "Also this is in terms of one variable so you would use a number line",
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},
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"id": 1003400439263404200,
"author_id": 438498520895455200,
"author_name": "TJG - Senpai",
"timestamp": "07/31/2022 16:35:06",
"content": "Oh forgot to fully put it 3x+6y_< 12",
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},
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"id": 1003400476810813400,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 16:35:15",
"content": "Ah",
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},
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"id": 1003400529948459000,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 16:35:28",
"content": "So you isolate y",
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},
{
"id": 1003400589566300300,
"author_id": 828645428765524000,
"author_name": "piang",
"timestamp": "07/31/2022 16:35:42",
"content": "Just draw 3x+6y",
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},
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"id": 1003400606477717500,
"author_id": 828645428765524000,
"author_name": "piang",
"timestamp": "07/31/2022 16:35:46",
"content": "First",
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"author_name": "TJG - Senpai",
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"content": "How would I draw that",
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"timestamp": "07/31/2022 16:36:39",
"content": "Ok so I wrote 3x+6y",
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},
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"id": 1003404325957152900,
"author_id": 438498520895455200,
"author_name": "TJG - Senpai",
"timestamp": "07/31/2022 16:50:33",
"content": ".close",
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},
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"id": 1003404327827816400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 16:50:34",
"content": "Channel closed",
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}
] |
help-9
|
6ed2fcd629f34ee991a72a99b362cda6
|
197,555 |
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"timestamp": "07/31/2022 16:51:34",
"content": "Available help channel!",
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"reference": null
},
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"id": 1003405212305862800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/31/2022 16:54:04",
"content": "anyone know an easy way to approach this question",
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"content": "Pinned a message.",
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"timestamp": "07/31/2022 17:09:06",
"content": "@Deleted User Has your question been resolved?",
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"id": 1003409833992663200,
"author_id": 697730177962344400,
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"timestamp": "07/31/2022 17:12:26",
"content": "Well",
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"id": 1003410051509268600,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "07/31/2022 17:13:18",
"content": "$$n|(n-1)u_{n-1} +1$$",
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"timestamp": "07/31/2022 17:13:21",
"content": "**Legolas**",
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"timestamp": "07/31/2022 17:13:28",
"content": "hello again",
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"content": "Implies",
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"timestamp": "07/31/2022 17:14:20",
"content": "$$(n-1)u_{n-1}+1 \\equiv 0 (mod n)$$",
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"content": "**Legolas**",
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"timestamp": "07/31/2022 17:15:11",
"content": "ahh i haven't covered mod yet, i only know it's definition but haven't used it yet",
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"content": "Oh",
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"content": "You can use it here",
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"timestamp": "07/31/2022 17:15:35",
"content": "but yeah in this case it means there's no remainder?",
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"timestamp": "07/31/2022 17:15:40",
"content": "when divided by n",
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"timestamp": "07/31/2022 17:15:46",
"content": "Yeah",
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"timestamp": "07/31/2022 17:15:56",
"content": "We can subtract 1 from both sides",
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"timestamp": "07/31/2022 17:15:58",
"content": "So",
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"timestamp": "07/31/2022 17:16:01",
"content": "oh okay",
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"timestamp": "07/31/2022 17:16:42",
"content": "$$(n-1)u_{n-1} \\equiv -1 \\mod n$$",
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"content": "**Legolas**",
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"timestamp": "07/31/2022 17:16:47",
"content": "yep",
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"content": "You can add n on the left side only",
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"timestamp": "07/31/2022 17:16:58",
"content": "So",
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"timestamp": "07/31/2022 17:17:10",
"content": "$$(n-1)u_{n-1} \\equiv n - 1 \\mod n$$",
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"timestamp": "07/31/2022 17:17:12",
"content": "**Legolas**",
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"timestamp": "07/31/2022 17:17:21",
"content": "ohhh yeahh",
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"timestamp": "07/31/2022 17:17:29",
"content": "clever",
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"timestamp": "07/31/2022 17:17:33",
"content": "What do you think should be done next",
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"id": 1003411227508219900,
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"timestamp": "07/31/2022 17:17:59",
"content": "$u_{n-1} \\equiv 1 \\mod n$",
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"timestamp": "07/31/2022 17:18:09",
"content": "Congruent to 1",
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"id": 1003411294134747100,
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"timestamp": "07/31/2022 17:18:15",
"content": "Not -1",
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"author_name": "Deleted User",
"timestamp": "07/31/2022 17:18:19",
"content": "oh shoot",
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"timestamp": "07/31/2022 17:18:20",
"content": "yep",
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"timestamp": "07/31/2022 17:18:27",
"content": "**artox**",
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"timestamp": "07/31/2022 17:19:56",
"content": "i assume we use the recurrence relation eqn now?",
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"timestamp": "07/31/2022 17:20:18",
"content": "now that we know u_n-1 = 1 mod n maybe",
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"timestamp": "07/31/2022 17:20:58",
"content": "I’m confused about the question though",
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"timestamp": "07/31/2022 17:21:52",
"content": "Like it’s obvious that u_{n-1} -1 should be a multiple of n",
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"timestamp": "07/31/2022 17:22:27",
"content": "im not too sure tbh sorry",
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"timestamp": "07/31/2022 17:22:36",
"content": "We’ve reached that",
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"timestamp": "07/31/2022 17:23:14",
"content": "$$u_{n-1}-1 = kn$$ for some positive integer k",
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"timestamp": "07/31/2022 17:23:17",
"content": "**Legolas**",
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"timestamp": "07/31/2022 17:23:53",
"content": "So values of n which satisfy u_n is divisible by n satisfy this",
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"timestamp": "07/31/2022 17:25:26",
"content": "omg thank youuuu",
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"timestamp": "07/31/2022 17:25:43",
"content": "I’m not sure if that is what the question wants though",
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"author_name": "Tarek Ahmed",
"timestamp": "07/31/2022 17:26:36",
"content": "Sometimes I can feel doubt creeping in haha",
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"timestamp": "07/31/2022 17:26:51",
"content": "No problem",
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"content": "By the way",
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"timestamp": "07/31/2022 17:36:40",
"content": "Where did you get this problem",
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"content": "@Deleted User Has your question been resolved?",
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"timestamp": "07/31/2022 18:25:26",
"content": "Channel closed",
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] |
help-9
|
dbb4656084294e1c9995525835eb147d
|
197,556 |
[
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"id": 1003462255456833500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 20:40:45",
"content": "Available help channel!",
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},
{
"id": 1003470630622089200,
"author_id": 163435237924143100,
"author_name": "McPqndq",
"timestamp": "07/31/2022 21:14:01",
"content": "I am reading a book called \"all the math you missed\" right now. I don't expect to understand everything, but I am reading it in hopes to just get a general idea of what various subjects are as I am just one year into an applied math major. I am on literally page 1 of this chapter right now though and don't get something so here I am. Also do I own this book physically but, accidently left it at college... so I'm unsure of the legality of where I am taking this screenshot from. \nMy question: struggling to understand this definition at the start of this chapter on topology. Specifically how/why is it that \"a set C is considered closed if it's compliment X-C is open.\" (Near the bottom of the screenshot) The definition above this quote in the text says that both the empty set and the whole space are in U which means they are both open, but in this context isn't the full space the compliment of the empty space, so one of them should be closed?",
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"timestamp": "07/31/2022 21:14:02",
"content": "Pinned a message.",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/31/2022 21:14:59",
"content": "I would take this to #topology-alg-top or #diff-geo-top",
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},
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"id": 1003470950563594200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "07/31/2022 21:15:18",
"content": "Not a lot of people who volunteer in help channels are that advanced",
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"id": 1003471005789986800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/31/2022 21:15:31",
"content": "open and closed when describing sets are not like doors!",
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"id": 1003471038304227500,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "07/31/2022 21:15:39",
"content": "sets can be open *and* closed",
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"id": 1003471164645064700,
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"author_name": "iCaird",
"timestamp": "07/31/2022 21:16:09",
"content": "the full space and the empty set are both open and closed, precisely because they're both open and they are complement to eachother",
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"author_name": "McPqndq",
"timestamp": "07/31/2022 21:16:50",
"content": "Thanks. That makes sense.",
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},
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"author_name": "McPqndq",
"timestamp": "07/31/2022 21:17:08",
"content": "In the future I'll do that thanks",
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"timestamp": "07/31/2022 21:17:26",
"content": ".close",
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"id": 1003471491947573200,
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"timestamp": "07/31/2022 21:17:27",
"content": "Channel closed",
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}
] |
help-9
|
4c4a42df523841a394924b2845222978
|
197,557 |
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{
"id": 1003473159305044000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 21:24:04",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1003473965236359300,
"author_id": 1002032241750315000,
"author_name": "YH",
"timestamp": "07/31/2022 21:27:16",
"content": "Hi, can someone show me how to draw a line tangent to 2 circles (using only ruler and compass) like this pic below",
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"timestamp": "07/31/2022 21:27:17",
"content": "Pinned a message.",
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{
"id": 1003474999723688000,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 21:31:23",
"content": "Search up \"euclidea 10.2 solution\"",
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},
{
"id": 1003475412497744000,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 21:33:02",
"content": "This actually looks like a screencap from that game lol",
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},
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"id": 1003475660821508200,
"author_id": 1002032241750315000,
"author_name": "YH",
"timestamp": "07/31/2022 21:34:01",
"content": "actually not, it's a software used to draw maths shapes",
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"timestamp": "07/31/2022 21:35:08",
"content": "Ah",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 21:35:32",
"content": "I believe this should get you what you want tho",
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"id": 1003477301322862700,
"author_id": 1002032241750315000,
"author_name": "YH",
"timestamp": "07/31/2022 21:40:32",
"content": "I wish it is",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "07/31/2022 21:41:15",
"content": "There is a youtube video by renato del noce",
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"timestamp": "07/31/2022 21:41:24",
"content": "Ngl i used it to get past the level",
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"id": 1003477717024506000,
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"author_name": "YH",
"timestamp": "07/31/2022 21:42:11",
"content": "I WILL go to find it",
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},
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"author_id": 1002032241750315000,
"author_name": "YH",
"timestamp": "07/31/2022 21:54:49",
"content": "alright, problem solved. Thx for help @GarlicBredFries",
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"timestamp": "07/31/2022 21:55:38",
"content": ".close",
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"timestamp": "07/31/2022 21:55:39",
"content": "Channel closed",
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}
] |
help-9
|
ea6d0d74ad314a45bb9ef1d645290d29
|
197,558 |
[
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"timestamp": "07/31/2022 21:56:40",
"content": "Available help channel!",
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},
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"id": 1003491870648832100,
"author_id": 728460785289789400,
"author_name": "kimchi",
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"content": "",
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"timestamp": "07/31/2022 22:38:26",
"content": "Pinned a message.",
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"id": 1003491923379617800,
"author_id": 728460785289789400,
"author_name": "kimchi",
"timestamp": "07/31/2022 22:38:38",
"content": "What would be the best idea of solving it?",
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"id": 1003492004451336200,
"author_id": 728460785289789400,
"author_name": "kimchi",
"timestamp": "07/31/2022 22:38:57",
"content": "in order to rotate it about the y-axis",
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"id": 1003494582895513700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "07/31/2022 22:49:12",
"content": "calculate the volume of each separately, then subtract",
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"id": 1003494701669826600,
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"timestamp": "07/31/2022 22:49:40",
"content": "since it's revolving around y-axis, you will take the inverse of each function",
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"id": 1003495119615430800,
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"author_name": "kimchi",
"timestamp": "07/31/2022 22:51:20",
"content": "I see.",
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"timestamp": "07/31/2022 22:51:29",
"content": "Thanks. I will try",
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"timestamp": "07/31/2022 23:06:29",
"content": "@kimchi Has your question been resolved?",
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"timestamp": "07/31/2022 23:06:37",
"content": "Channel closed",
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}
] |
help-9
|
199b61eb175f4978881b52eb872f7422
|
197,559 |
[
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"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 23:07:37",
"content": "Available help channel!",
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},
{
"id": 1003499673362911200,
"author_id": 686933403559264400,
"author_name": "Syphrix7",
"timestamp": "07/31/2022 23:09:26",
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"timestamp": "07/31/2022 23:09:26",
"content": "Pinned a message.",
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"author_id": 686933403559264400,
"author_name": "Syphrix7",
"timestamp": "07/31/2022 23:09:34",
"content": "i put e^ for bpth sides",
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"id": 1003499762240204900,
"author_id": 686933403559264400,
"author_name": "Syphrix7",
"timestamp": "07/31/2022 23:09:47",
"content": "then e^z = y+2/y+1",
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},
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"id": 1003499916498309100,
"author_id": 686933403559264400,
"author_name": "Syphrix7",
"timestamp": "07/31/2022 23:10:24",
"content": "how do i make y the subject from here",
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},
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"id": 1003499947972374700,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "07/31/2022 23:10:31",
"content": "ok so",
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},
{
"id": 1003499970567082000,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "07/31/2022 23:10:37",
"content": "get rid of the frac",
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},
{
"id": 1003500031896199200,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "07/31/2022 23:10:51",
"content": "e^z(y+1) = y+2",
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},
{
"id": 1003500063177330800,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "07/31/2022 23:10:59",
"content": "try to solve it now",
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},
{
"id": 1003500195499229200,
"author_id": 943069425274339300,
"author_name": "PuddinAru",
"timestamp": "07/31/2022 23:11:30",
"content": "It’d help if you use one of log property",
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},
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"id": 1003500263883149300,
"author_id": 943069425274339300,
"author_name": "PuddinAru",
"timestamp": "07/31/2022 23:11:47",
"content": "log a- log b = log (a/b)",
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},
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"id": 1003500351170822100,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "07/31/2022 23:12:07",
"content": "he did",
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"id": 1003500411216482300,
"author_id": 943069425274339300,
"author_name": "PuddinAru",
"timestamp": "07/31/2022 23:12:22",
"content": "Ohh sry i just saw",
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},
{
"id": 1003500749126377600,
"author_id": 686933403559264400,
"author_name": "Syphrix7",
"timestamp": "07/31/2022 23:13:42",
"content": "thanks man",
"attachments": [],
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"reference": null
},
{
"id": 1003502195565670500,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "07/31/2022 23:19:27",
"content": "u got it?",
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"id": 1003503207357632600,
"author_id": 686933403559264400,
"author_name": "Syphrix7",
"timestamp": "07/31/2022 23:23:28",
"content": "yea",
"attachments": [],
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},
{
"id": 1003504130599440500,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "07/31/2022 23:27:08",
"content": "npnp",
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},
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"id": 1003504134319771800,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "07/31/2022 23:27:09",
"content": ".close",
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},
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"author_name": "Mathematics Bot",
"timestamp": "07/31/2022 23:27:10",
"content": "Channel closed",
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}
] |
help-9
|
6b1218e369524b55a9b2333e0b35c81c
|
197,560 |
[
{
"id": 959434055269646300,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:48:24",
"content": ".reopen",
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},
{
"id": 959434059161927700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 08:48:25",
"content": "✅",
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},
{
"id": 959434166271885400,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:48:50",
"content": "Will appreciate if someone will show me the steps for solving this without hints",
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},
{
"id": 959434672641806300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/01/2022 08:50:51",
"content": "> though the next meaningful step would be to use the given information",
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},
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"id": 959434764098613200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/01/2022 08:51:13",
"content": "consider why did you even took the derivative",
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},
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"id": 959434865617563600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/01/2022 08:51:37",
"content": "did you do it just for the lols?",
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},
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"id": 959434910299463700,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:51:48",
"content": "no",
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},
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"id": 959435028381700100,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:52:16",
"content": "but i just cant manage to get the right answer",
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},
{
"id": 959435036996821000,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:52:18",
"content": "even when i do it",
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},
{
"id": 959435162586869800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/01/2022 08:52:48",
"content": "what did you do",
"attachments": [],
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},
{
"id": 959435238885458000,
"author_id": 177175445106720770,
"author_name": "Marshmallow",
"timestamp": "04/01/2022 08:53:06",
"content": "wrote 0 instead of x and all the equation equal to -1/18",
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},
{
"id": 959435767652970500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/01/2022 08:55:12",
"content": "note that (0,-18) is a point on the curve",
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},
{
"id": 959435801039622100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/01/2022 08:55:20",
"content": "use that for another equation",
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},
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"id": 959439014685982700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 09:08:06",
"content": "@Marshmallow Has your question been resolved?",
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"id": 959442062305017900,
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"author_name": "Marshmallow",
"timestamp": "04/01/2022 09:20:13",
"content": "Will still appreciate if someone will show me how to do it",
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},
{
"id": 959448422174318600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/01/2022 09:45:29",
"content": "> note that (0,-18) is a point on the curve \n> use that for another equation",
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},
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"timestamp": "04/01/2022 09:55:29",
"content": "@Marshmallow Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 09:56:00",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
5436a18f4a27494a83ba1368e3ffe35d
|
197,561 |
[
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"id": 1003529302802968700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 01:07:10",
"content": "Available help channel!",
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},
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"id": 1003529615945510900,
"author_id": 343491628012404740,
"author_name": "meek",
"timestamp": "08/01/2022 01:08:25",
"content": "okay so as x approaches -5, its 1/6 but x=-5 is undefined",
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"id": 1003529618072031400,
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"timestamp": "08/01/2022 01:08:25",
"content": "Pinned a message.",
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"timestamp": "08/01/2022 01:08:40",
"content": "this means that the function isnt continuous at x=-5 right",
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"id": 1003531474961694700,
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"timestamp": "08/01/2022 01:15:48",
"content": ".close",
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},
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"id": 1003531476601679900,
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"content": "Channel closed",
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] |
help-9
|
c786f08c7b9745acabeefa01ebc1e4be
|
197,562 |
[
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"timestamp": "08/01/2022 01:18:27",
"content": "Available help channel!",
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"id": 1003541409804079100,
"author_id": 398341433234423800,
"author_name": "Leaky",
"timestamp": "08/01/2022 01:55:16",
"content": "Absolutely no idea what to do",
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"content": "Pinned a message.",
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"id": 1003541699462709400,
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"timestamp": "08/01/2022 01:56:26",
"content": "bigger picture to make it easier to read",
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"id": 1003541793100538000,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "08/01/2022 01:56:48",
"content": "it involves trig",
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"id": 1003542022612865200,
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"author_name": "Leaky",
"timestamp": "08/01/2022 01:57:43",
"content": "And what exactly do you do with trig",
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"id": 1003542337403756700,
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"timestamp": "08/01/2022 01:58:58",
"content": "do you see any right triangles",
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"id": 1003543049592381400,
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"timestamp": "08/01/2022 02:01:47",
"content": "Yes",
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"id": 1003543421060911100,
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"timestamp": "08/01/2022 02:03:16",
"content": "What do I do with them?",
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"timestamp": "08/01/2022 02:05:33",
"content": "@Element118",
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"timestamp": "08/01/2022 02:08:25",
"content": "you see S is in some right triangle right",
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"timestamp": "08/01/2022 02:08:45",
"content": "remember Earth can be modelled as a sphere",
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"id": 1003544823065755800,
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"timestamp": "08/01/2022 02:08:50",
"content": "Right",
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"timestamp": "08/01/2022 02:08:57",
"content": "which sides and angles of the triangle do you know",
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"id": 1003545069325918300,
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"timestamp": "08/01/2022 02:09:49",
"content": "60°, 30°, 6400",
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"id": 1003545129119924200,
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"author_name": "Leaky",
"timestamp": "08/01/2022 02:10:03",
"content": "I was gonna do cos(60) = x/6400",
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"timestamp": "08/01/2022 02:11:19",
"content": "60 degrees yeah",
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"id": 1003545544607670400,
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"timestamp": "08/01/2022 02:11:42",
"content": "Yeah",
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"id": 1003545893531824100,
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"timestamp": "08/01/2022 02:13:05",
"content": "so what does that give you for x?",
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"timestamp": "08/01/2022 02:15:12",
"content": "wait what",
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"timestamp": "08/01/2022 02:15:32",
"content": "cant u just use circular measure?",
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"id": 1003546548187181000,
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"timestamp": "08/01/2022 02:15:42",
"content": "S=rθ",
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"timestamp": "08/01/2022 02:15:52",
"content": "that's for part a",
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"timestamp": "08/01/2022 02:15:56",
"content": "convert 60 degrees into radians'",
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"id": 1003546619121254400,
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"timestamp": "08/01/2022 02:15:58",
"content": "oh",
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"id": 1003546636259176400,
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"author_name": "kyoshi",
"timestamp": "08/01/2022 02:16:03",
"content": "then what are u doing now",
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"timestamp": "08/01/2022 02:16:55",
"content": "wait yall are doing part a?",
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"timestamp": "08/01/2022 02:17:28",
"content": "x = 3200",
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"timestamp": "08/01/2022 02:17:33",
"content": "yeah",
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"timestamp": "08/01/2022 02:17:37",
"content": "next is part b",
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"id": 1003547192600043600,
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"author_name": "kyoshi",
"timestamp": "08/01/2022 02:18:15",
"content": "okko",
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"id": 1003547454383325200,
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"author_name": "kyoshi",
"timestamp": "08/01/2022 02:19:18",
"content": "now part b",
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"id": 1003547481889575000,
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"author_name": "kyoshi",
"timestamp": "08/01/2022 02:19:24",
"content": "do you know basic circular measure?",
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"id": 1003547576596967600,
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"timestamp": "08/01/2022 02:19:47",
"content": "Nope",
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"id": 1003547600668065800,
"author_id": 398341433234423800,
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"timestamp": "08/01/2022 02:19:53",
"content": "This is an advanced question",
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{
"id": 1003547624701448200,
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"timestamp": "08/01/2022 02:19:58",
"content": "According to teacher",
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"author_name": "Leaky",
"timestamp": "08/01/2022 02:20:06",
"content": "Wanna know how to do it tho",
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"id": 1003548651177648100,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 02:24:03",
"content": "ahh",
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"id": 1003548655199981600,
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"author_name": "kyoshi",
"timestamp": "08/01/2022 02:24:04",
"content": "kk",
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},
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"id": 1003548660212179000,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 02:24:05",
"content": "sorry",
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},
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"id": 1003548673726218200,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 02:24:08",
"content": "just got back from the loo",
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},
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"id": 1003548685822591100,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 02:24:11",
"content": "k so",
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"timestamp": "08/01/2022 02:24:14",
"content": "S=rθ",
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},
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"id": 1003548760443469800,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 02:24:29",
"content": "arc length = radius * angle in radian",
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"id": 1003548767850610800,
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"timestamp": "08/01/2022 02:24:31",
"content": "so",
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"id": 1003548810745749500,
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"author_name": "kyoshi",
"timestamp": "08/01/2022 02:24:41",
"content": "do u know how to convert degrees to radians",
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"timestamp": "08/01/2022 02:25:00",
"content": "@Leaky",
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"timestamp": "08/01/2022 02:25:20",
"content": "Yes",
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"content": "Degree times pi over 180",
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"content": "yes",
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"timestamp": "08/01/2022 02:25:42",
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"content": "convert 60 degrees into radian",
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"content": "what do u get",
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"content": "(in terms of pi)",
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"content": "Pi/3",
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"timestamp": "08/01/2022 02:26:36",
"content": "whats the radius of the sphere/circle",
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"content": "yeah",
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"content": "use the formula",
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"timestamp": "08/01/2022 02:27:05",
"content": "S=rθ",
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"timestamp": "08/01/2022 02:27:09",
"content": "what do u get",
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"timestamp": "08/01/2022 02:27:12",
"content": "for S",
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"timestamp": "08/01/2022 02:27:37",
"content": "OHHH YEAHHH",
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"timestamp": "08/01/2022 02:27:41",
"content": "there ya go",
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"timestamp": "08/01/2022 02:27:43",
"content": "6400pi/3",
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"timestamp": "08/01/2022 02:27:45",
"content": "Yes",
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"timestamp": "08/01/2022 02:27:46",
"content": "see?",
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"timestamp": "08/01/2022 02:27:47",
"content": "easy",
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"timestamp": "08/01/2022 02:27:49",
"content": "That makes sense",
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"timestamp": "08/01/2022 02:28:02",
"content": "Right, you’re amazing",
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"timestamp": "08/01/2022 02:28:05",
"content": "ur teacher was just scaring u lmaoo",
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"timestamp": "08/01/2022 02:28:09",
"content": "tyty",
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"timestamp": "08/01/2022 02:28:11",
"content": "Fr man haha",
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"timestamp": "08/01/2022 02:28:15",
"content": "u did all the hard work tho",
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"content": "lmaoo",
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"content": "You taught me lol",
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"content": "nahh",
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"timestamp": "08/01/2022 02:28:53",
"content": "ok now the last one",
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"timestamp": "08/01/2022 02:28:56",
"content": "is pretty simple",
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"timestamp": "08/01/2022 02:28:59",
"content": "so",
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"timestamp": "08/01/2022 02:29:11",
"content": "now we have a sector",
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"id": 1003549973109035000,
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"timestamp": "08/01/2022 02:29:18",
"content": "with radius 6400",
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"id": 1003550005371621400,
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"timestamp": "08/01/2022 02:29:26",
"content": "and an angle of 60",
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"timestamp": "08/01/2022 02:29:39",
"content": "because both sides are the same length",
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"timestamp": "08/01/2022 02:29:50",
"content": "and θ = 60 degrees",
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"timestamp": "08/01/2022 02:29:52",
"content": "we can say",
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"timestamp": "08/01/2022 02:30:00",
"content": "taht it forms an equilateral triangle",
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"timestamp": "08/01/2022 02:30:03",
"content": "right?",
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"timestamp": "08/01/2022 02:30:05",
"content": "so that means",
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"timestamp": "08/01/2022 02:30:06",
"content": "Yes",
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"timestamp": "08/01/2022 02:30:15",
"content": "if u draw a straight line through",
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"timestamp": "08/01/2022 02:30:19",
"content": "from sweden",
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"id": 1003550245642317800,
"author_id": 691924005334286300,
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"timestamp": "08/01/2022 02:30:23",
"content": "to the drc",
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"id": 1003550271831560200,
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"timestamp": "08/01/2022 02:30:29",
"content": "you would also get 6400km",
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"timestamp": "08/01/2022 02:30:39",
"content": "since its an equilateral triangle",
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"timestamp": "08/01/2022 02:30:57",
"content": "So, how would I say that in the final answer?",
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"timestamp": "08/01/2022 02:31:12",
"content": "at first, draw the sector out",
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"timestamp": "08/01/2022 02:31:20",
"content": "should look like a pizza slice",
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"id": 1003550656470204500,
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"author_name": "Leaky",
"timestamp": "08/01/2022 02:32:01",
"content": "Wait, could you please draw and send it out?",
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"id": 1003550669569015900,
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"timestamp": "08/01/2022 02:32:04",
"content": "kk",
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"id": 1003550697117196300,
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"timestamp": "08/01/2022 02:32:11",
"content": "Thank you",
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"content": "",
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"timestamp": "08/01/2022 02:32:27",
"content": "Right",
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"timestamp": "08/01/2022 02:32:31",
"content": "That’s what I did",
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"timestamp": "08/01/2022 02:32:34",
"content": "Coooolllll",
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"content": "",
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"content": "so",
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"content": "so if θ = 60",
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"timestamp": "08/01/2022 02:33:03",
"content": "and r = 6400",
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"timestamp": "08/01/2022 02:33:08",
"content": "then",
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"timestamp": "08/01/2022 02:33:35",
"content": "there",
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"timestamp": "08/01/2022 02:33:39",
"content": "",
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"timestamp": "08/01/2022 02:33:41",
"content": "shitty drawing",
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"id": 1003551104388309100,
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"timestamp": "08/01/2022 02:33:48",
"content": "coz i dont have my drawing tablet on me rn",
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"timestamp": "08/01/2022 02:34:00",
"content": "That’s alright lol",
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"id": 1003551163599294500,
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"timestamp": "08/01/2022 02:34:02",
"content": "But yeah",
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"id": 1003551173158125600,
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"timestamp": "08/01/2022 02:34:04",
"content": "That makes sense",
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"id": 1003551234449481900,
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"timestamp": "08/01/2022 02:34:19",
"content": "ok",
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"id": 1003551271711670300,
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"timestamp": "08/01/2022 02:34:28",
"content": "that should be worth 2 marks",
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{
"id": 1003551280100290600,
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"timestamp": "08/01/2022 02:34:30",
"content": "yeah",
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"id": 1003551287578722300,
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"timestamp": "08/01/2022 02:34:32",
"content": "thats about it",
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{
"id": 1003551393304547500,
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"timestamp": "08/01/2022 02:34:57",
"content": "therefore, the shortest distance between seden and the democratic republic of congo",
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"id": 1003551411537182700,
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"timestamp": "08/01/2022 02:35:01",
"content": "is 6400km",
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"id": 1003551497335881900,
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"timestamp": "08/01/2022 02:35:22",
"content": "AMAZING",
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},
{
"id": 1003551509117681700,
"author_id": 398341433234423800,
"author_name": "Leaky",
"timestamp": "08/01/2022 02:35:24",
"content": "You are the best",
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},
{
"id": 1003551524322021500,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 02:35:28",
"content": "thanks",
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"reference": null
},
{
"id": 1003551558560141300,
"author_id": 398341433234423800,
"author_name": "Leaky",
"timestamp": "08/01/2022 02:35:36",
"content": "Thank you so much",
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},
{
"id": 1003551571449229400,
"author_id": 398341433234423800,
"author_name": "Leaky",
"timestamp": "08/01/2022 02:35:39",
"content": "Helped me a lot",
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},
{
"id": 1003551580089487500,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 02:35:41",
"content": "no problem man",
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},
{
"id": 1003551589124026400,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 02:35:43",
"content": "happy to help",
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},
{
"id": 1003551608442978300,
"author_id": 398341433234423800,
"author_name": "Leaky",
"timestamp": "08/01/2022 02:35:48",
"content": "I’ll catch you later",
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},
{
"id": 1003551633747226600,
"author_id": 398341433234423800,
"author_name": "Leaky",
"timestamp": "08/01/2022 02:35:54",
"content": ".close",
"attachments": [],
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},
{
"id": 1003551635341062100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 02:35:54",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
4d24fe7374954608991945451d7da74c
|
197,563 |
[
{
"id": 1003584809752346800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 04:47:44",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003590663885045800,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:11:00",
"content": "Hey all, could someone give me some guidance on how to solve for points of intersection in sin cos tan graphs?",
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"reference": null
},
{
"id": 1003590665659236500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 05:11:00",
"content": "Pinned a message.",
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"timestamp": "08/01/2022 05:11:29",
"content": "",
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"id": 1003590930898636800,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:12:03",
"content": "I'm just not sure how I can manipulate the given ideas to find the solution",
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},
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"id": 1003591620928737300,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:14:48",
"content": "This is what I've done so far",
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},
{
"id": 1003591676952068100,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "08/01/2022 05:15:01",
"content": "just treat sin x like a normal variable",
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},
{
"id": 1003591741401747500,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "08/01/2022 05:15:16",
"content": "so you can add sin x to both sides to isolate the variabble and the constant",
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},
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"content": "",
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"id": 1003591917935788200,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "08/01/2022 05:15:59",
"content": "are you asking for (c)?",
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},
{
"id": 1003591960801587200,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "08/01/2022 05:16:09",
"content": "add sin x to both sides",
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},
{
"id": 1003592118993944700,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:16:47",
"content": "sin x + sin x = 1",
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},
{
"id": 1003592143526428700,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:16:52",
"content": "sin x = 0.5",
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},
{
"id": 1003592176627880000,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:17:00",
"content": "x= sin-1 (0.5)",
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},
{
"id": 1003592286174716000,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "08/01/2022 05:17:26",
"content": "yea",
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},
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"id": 1003592398468812800,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "08/01/2022 05:17:53",
"content": "so what are you asking",
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},
{
"id": 1003592403405504500,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:17:54",
"content": "thanks ill try it now",
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},
{
"id": 1003592437131923500,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:18:02",
"content": "i just wasn't sure about c and d",
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},
{
"id": 1003592468652097500,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "08/01/2022 05:18:10",
"content": "oh yeah no problem",
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},
{
"id": 1003592529700196500,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "08/01/2022 05:18:24",
"content": "coordinates meansa the entire (x,y) pair btw",
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},
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"id": 1003593997970837500,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:24:14",
"content": "roger",
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"id": 1003594015054241900,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:24:19",
"content": "Does this seem alg bro?",
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},
{
"id": 1003594137548886000,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "08/01/2022 05:24:48",
"content": "which",
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},
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"id": 1003594161552883700,
"author_id": 301264621300613100,
"author_name": "SuMoon",
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"content": "",
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"id": 1003594309330800800,
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"author_name": "Agatsuma",
"timestamp": "08/01/2022 05:25:29",
"content": "-210o = -210o+360o = 150o and -330o = -330o + 360o = 30o btw so",
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},
{
"id": 1003594547571478500,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "08/01/2022 05:26:26",
"content": "you can just write 30o + 360ok and 150o + 360ok with k integer",
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},
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"id": 1003594665322364900,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "08/01/2022 05:26:54",
"content": "360ok means 360 degrees times k btw",
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},
{
"id": 1003594912773713900,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:27:53",
"content": "what is k?",
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},
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"id": 1003594957434667000,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "08/01/2022 05:28:03",
"content": "k is any integer",
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},
{
"id": 1003595113852829800,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "08/01/2022 05:28:41",
"content": "also are you used to using degrees instead of radians",
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},
{
"id": 1003595257121882100,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:29:15",
"content": "I'm used to degrees but I'm learning radians atm since I also needa know",
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},
{
"id": 1003595478799225000,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:30:08",
"content": "I got the same answers as you but I don't quite get how u got ur answers XD",
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},
{
"id": 1003595564878942200,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "08/01/2022 05:30:28",
"content": "what im trying to say is that x1=x4 and x2=x3",
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},
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"id": 1003595679291162800,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "08/01/2022 05:30:55",
"content": "so you just only need to write x1 and x2 and then generalize it with + 360k since 360o is a revolution and a+360=a",
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},
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"id": 1003596234839298200,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:33:08",
"content": "Is a the amplitude?",
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},
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"id": 1003596326585512000,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "08/01/2022 05:33:30",
"content": "no, a is just some random angle",
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},
{
"id": 1003596363516362800,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:33:38",
"content": "x1 = 30o + 360oK\nx2 = 150o + 360oK",
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},
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"id": 1003596397993529300,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "08/01/2022 05:33:47",
"content": "yea",
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},
{
"id": 1003596514419028100,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:34:14",
"content": "ohhh",
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},
{
"id": 1003596542046904300,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:34:21",
"content": "i guess K would just be the number of revolutions right?",
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},
{
"id": 1003596557213503500,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:34:25",
"content": "that makes sense now",
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},
{
"id": 1003596668391927800,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:34:51",
"content": "I think I understand now",
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},
{
"id": 1003596871241044000,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "08/01/2022 05:35:40",
"content": "you can imagine it on a circle, a point + 360o would go back to the same point",
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},
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"id": 1003596933534859400,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:35:54",
"content": "ye",
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},
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"id": 1003596977382113400,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:36:05",
"content": "thank you!!!! @Agatsuma for helping me out :D",
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"id": 1003597162782933100,
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"timestamp": "08/01/2022 05:36:49",
"content": "np",
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},
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"id": 1003597217988366300,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:37:02",
"content": "absolute legend",
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},
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"id": 1003597252180324400,
"author_id": 301264621300613100,
"author_name": "SuMoon",
"timestamp": "08/01/2022 05:37:10",
"content": ".close",
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},
{
"id": 1003597253858046000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 05:37:11",
"content": "Channel closed",
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}
] |
help-9
|
2a7e28e2a61d418d97beadadf6144cba
|
197,564 |
[
{
"id": 1003597509408608300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 05:38:12",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1003601215311056900,
"author_id": 585888303018934300,
"author_name": "s0wi",
"timestamp": "08/01/2022 05:52:55",
"content": "Guys if I solve a limit as x is approaching ‘h’, and i get 2x as the limit, is that possible?",
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},
{
"id": 1003601217374658600,
"author_id": 805217272087838700,
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"timestamp": "08/01/2022 05:52:56",
"content": "Pinned a message.",
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"id": 1003601613983846400,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/01/2022 05:54:30",
"content": "Show the original limit",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003602099768131600,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/01/2022 05:56:26",
"content": "??",
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},
{
"id": 1003602138888409100,
"author_id": 585888303018934300,
"author_name": "s0wi",
"timestamp": "08/01/2022 05:56:35",
"content": "",
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"id": 1003602196182601900,
"author_id": 585888303018934300,
"author_name": "s0wi",
"timestamp": "08/01/2022 05:56:49",
"content": "as h approaches 0, mb",
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},
{
"id": 1003602254084980700,
"author_id": 585888303018934300,
"author_name": "s0wi",
"timestamp": "08/01/2022 05:57:03",
"content": "my answer to this became 2x is that right?",
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},
{
"id": 1003602293603704800,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/01/2022 05:57:12",
"content": "Yes",
"attachments": [],
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},
{
"id": 1003602494586376200,
"author_id": 585888303018934300,
"author_name": "s0wi",
"timestamp": "08/01/2022 05:58:00",
"content": "can i ask if why the limit is not a number?",
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},
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"id": 1003602658277470300,
"author_id": 585888303018934300,
"author_name": "s0wi",
"timestamp": "08/01/2022 05:58:39",
"content": "like negatives and postive number without coefficient",
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},
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"id": 1003602729039569000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "08/01/2022 05:58:56",
"content": "How come you said x is approaching h here?",
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},
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"id": 1003602775260807300,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/01/2022 05:59:07",
"content": ".",
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"id": 1003602819850440700,
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"timestamp": "08/01/2022 05:59:18",
"content": "I blind",
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"id": 1003602912020275200,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/01/2022 05:59:40",
"content": "we are evaluating the limit in terms of x",
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{
"id": 1003603138567221200,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/01/2022 06:00:34",
"content": "meaning that this is a general formula for any number x",
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},
{
"id": 1003603203989983400,
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"author_name": "Tarek Ahmed",
"timestamp": "08/01/2022 06:00:49",
"content": "if we replaced x with a number in the original limit, the limit would evaluate to 2 * x",
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"id": 1003603475214651400,
"author_id": 585888303018934300,
"author_name": "s0wi",
"timestamp": "08/01/2022 06:01:54",
"content": "omg thx",
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},
{
"id": 1003603563857055700,
"author_id": 852470857569402900,
"author_name": "Teek0505",
"timestamp": "08/01/2022 06:02:15",
"content": "You can compute this by using the first principle of differentiation.",
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"author_id": 852470857569402900,
"author_name": "Teek0505",
"timestamp": "08/01/2022 06:02:26",
"content": "But i guess that's not what you asked. :thonkg:",
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},
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"id": 1003603755536744400,
"author_id": 585888303018934300,
"author_name": "s0wi",
"timestamp": "08/01/2022 06:03:01",
"content": "im still noob at calculus:NervousSweat:",
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},
{
"id": 1003607531140161500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 06:18:01",
"content": "@s0wi Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 06:18:17",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
5f7791f891a5409f9559f51b3cf1db71
|
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