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"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 20:25:05",
"content": "Available help channel!",
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"author_name": "muppetman",
"timestamp": "08/15/2022 20:33:22",
"content": "In this definition of a limit, is L quantified over all reals?",
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"timestamp": "08/15/2022 20:34:05",
"content": "I ask since I noticed when proving that a limit does not exist, and thus proving the negation of the above definition, it is proven over all L",
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"timestamp": "08/15/2022 20:35:11",
"content": "I think I know why, but I want to make sure; is it because the negation is (for all L, not P) instead of not(for all L, P)",
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"timestamp": "08/15/2022 20:39:25",
"content": "L is a real number yes",
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"timestamp": "08/15/2022 20:42:57",
"content": "This definition also lacks that it needs to hold $\\forall x \\in D_f$",
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"timestamp": "08/15/2022 20:43:00",
"content": "**Danajax**",
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"timestamp": "08/15/2022 20:44:11",
"content": "So in logic syntax, it would be $\\forall L\\in R$ at the beginning of the statement, right?",
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"timestamp": "08/15/2022 20:44:21",
"content": "No",
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"timestamp": "08/15/2022 20:44:27",
"content": "**muppetman**",
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"timestamp": "08/15/2022 20:44:38",
"content": "y",
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"timestamp": "08/15/2022 20:45:12",
"content": "L has nothing to do with the statement, L is just the value of the limit as x approaches a of f(x)",
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"timestamp": "08/15/2022 20:46:00",
"content": "maybe statement was the wrong word. I mean, if you take the limit statement where its written lim= L, is the implicit quantifer what i wrote above",
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"timestamp": "08/15/2022 20:47:36",
"content": "yes but saying $\\forall L \\in\\mathbb{R}$ has nothing to do with the definition and doesn't make any sense",
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"timestamp": "08/15/2022 20:47:38",
"content": "**Danajax**",
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"timestamp": "08/15/2022 20:49:35",
"content": "what the definition is saying is that for every $\\epsilon$ there should exist some $\\delta$ such that when the distance between $x$ and $a$ is less than $\\delta$, the the distance between $f(x)$ and $L$ has to be less than any given $\\epsilon$",
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"timestamp": "08/15/2022 20:49:58",
"content": "**Danajax**",
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"timestamp": "08/15/2022 20:50:11",
"content": "then the limit L exists",
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"timestamp": "08/15/2022 20:51:13",
"content": "i know, but L still has to be quantified",
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"timestamp": "08/15/2022 20:51:22",
"content": "what do you mean by quantified",
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"timestamp": "08/15/2022 20:51:49",
"content": "given a value in accordance to some set, whether fixed or arbitrary",
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"timestamp": "08/15/2022 20:53:03",
"content": "you also said there was an implicit quantifier in the limit statement",
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"timestamp": "08/15/2022 20:53:11",
"content": "L needs to be introduced",
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"timestamp": "08/15/2022 20:53:16",
"content": "as well",
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"id": 1008901317906939900,
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"timestamp": "08/15/2022 20:53:38",
"content": "do you mean that L needs to be introduced in the formal definition?",
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"timestamp": "08/15/2022 20:56:32",
"content": "I'm not quite sure what you mean by L needs to be introduced",
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"timestamp": "08/15/2022 20:57:09",
"content": "Well Yes, before the formal definition",
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"timestamp": "08/15/2022 20:57:28",
"content": "the formal definiton is just the exapnded form of lim = L",
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"author_name": "muppetman",
"timestamp": "08/15/2022 20:57:41",
"content": "so it would go before it like: for all L e R, lim = L",
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"id": 1008902475350290600,
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"timestamp": "08/15/2022 20:58:14",
"content": "alr I understand what you mean",
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"timestamp": "08/15/2022 20:58:54",
"content": "but by the definition, we know that a, and L must be real numbers",
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"timestamp": "08/15/2022 20:59:49",
"content": "so it would not be necessary to state this",
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"timestamp": "08/15/2022 21:00:15",
"content": "but it is implied right",
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"timestamp": "08/15/2022 21:00:49",
"content": "in the limit = L, it is implied",
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"timestamp": "08/15/2022 21:01:07",
"content": "I ask because when I want to negate lim = L, i want to make sure the L e R isnt also negated",
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"timestamp": "08/15/2022 21:01:11",
"content": "cause taht wouldnt make sense",
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"timestamp": "08/15/2022 21:01:21",
"content": "and the only way it isnt negated is if it comes before the lim = L",
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"id": 1008903549528309800,
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"timestamp": "08/15/2022 21:02:30",
"content": "yes, that's why we dont put $\\forall L \\in \\mathbb{R}$ as a part of the definition",
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"timestamp": "08/15/2022 21:02:33",
"content": "**Danajax**",
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"timestamp": "08/15/2022 21:02:51",
"content": "because the negation wouldn't work",
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"timestamp": "08/15/2022 21:02:57",
"content": "the negation would be",
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"id": 1008904077142392800,
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"timestamp": "08/15/2022 21:04:36",
"content": "$$\\exists \\varepsilon > 0 \\ \\ \\ \\ \\forall \\delta > 0 s.t\\ \\ \\ \\left( |x-a|< \\delta \\wedge |f(x)-L|\\geq\\varepsilon \\right)$$",
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"timestamp": "08/15/2022 21:06:09",
"content": "**Danajax**",
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"timestamp": "08/15/2022 21:06:25",
"content": "yeah ok so it goes befoe",
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"timestamp": "08/15/2022 21:06:33",
"content": "it wouldnt make sense for it to be for 1 L",
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"timestamp": "08/15/2022 21:07:05",
"content": "i understand now, thank you @Danajax",
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"timestamp": "08/15/2022 21:08:13",
"content": "good, for more information, check out this video on applying the epsilon delta definition in proofs",
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"timestamp": "08/15/2022 21:08:32",
"content": "maybe that will make things clearer",
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"content": ".close",
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"timestamp": "08/15/2022 21:09:39",
"content": "Channel closed",
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] |
help-9
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1e4b6e2d8e5e4f868910f674e071093e
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197,866 |
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"author_name": "Mathematics Bot",
"timestamp": "08/16/2022 00:52:32",
"content": "Available help channel!",
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},
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"timestamp": "08/16/2022 01:04:03",
"content": "Pinned a message.",
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"content": "I know",
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"timestamp": "08/16/2022 01:09:44",
"content": "Can u explain further",
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"timestamp": "08/16/2022 01:12:47",
"content": "What don't you understand about the reflection over x axis line?",
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"content": "Your answer is given by the change to coordinate point",
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"timestamp": "08/16/2022 01:16:54",
"content": "Yeah but what's the original coordinates",
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"timestamp": "08/16/2022 01:21:12",
"content": "Count the squares here",
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"timestamp": "08/16/2022 01:26:02",
"content": "Yes there. Did you count the squares to A? Both x and y",
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"content": "@⃟⃟♱ Has your question been resolved?",
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"content": "@⃟⃟♱ Has your question been resolved?",
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] |
help-9
|
210a3a0adec9471f821da6a90d9645fe
|
197,867 |
[
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"timestamp": "08/16/2022 04:19:54",
"content": "Available help channel!",
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"timestamp": "08/16/2022 05:29:20",
"content": "How",
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"id": 1009031148153876500,
"author_id": 789854796429000700,
"author_name": "lalla",
"timestamp": "08/16/2022 05:29:32",
"content": "uh",
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"id": 1009031186884079600,
"author_id": 789854796429000700,
"author_name": "lalla",
"timestamp": "08/16/2022 05:29:41",
"content": "u can turn it into a fraction",
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},
{
"id": 1009031218928558100,
"author_id": 789854796429000700,
"author_name": "lalla",
"timestamp": "08/16/2022 05:29:49",
"content": "do u know how to divide fractions?",
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"id": 1009031811986370600,
"author_id": 559593723466481660,
"author_name": "smavinagain",
"timestamp": "08/16/2022 05:32:10",
"content": "Uh",
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},
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"id": 1009031818315571200,
"author_id": 559593723466481660,
"author_name": "smavinagain",
"timestamp": "08/16/2022 05:32:12",
"content": "No",
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},
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"id": 1009031887475445800,
"author_id": 789854796429000700,
"author_name": "lalla",
"timestamp": "08/16/2022 05:32:28",
"content": "okay so",
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"id": 1009031890818322400,
"author_id": 559593723466481660,
"author_name": "smavinagain",
"timestamp": "08/16/2022 05:32:29",
"content": "Not 2 fractions",
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},
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"id": 1009031918047731700,
"author_id": 789854796429000700,
"author_name": "lalla",
"timestamp": "08/16/2022 05:32:36",
"content": "hm",
"attachments": [],
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"id": 1009031928143425700,
"author_id": 559593723466481660,
"author_name": "smavinagain",
"timestamp": "08/16/2022 05:32:38",
"content": "Fraction and a whole I can do",
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"id": 1009031929531727900,
"author_id": 559593723466481660,
"author_name": "smavinagain",
"timestamp": "08/16/2022 05:32:38",
"content": "But not 2 fractions",
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"id": 1009031943591055500,
"author_id": 789854796429000700,
"author_name": "lalla",
"timestamp": "08/16/2022 05:32:42",
"content": "okay",
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},
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"id": 1009031949878304900,
"author_id": 789854796429000700,
"author_name": "lalla",
"timestamp": "08/16/2022 05:32:43",
"content": "so",
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},
{
"id": 1009031975270621200,
"author_id": 789854796429000700,
"author_name": "lalla",
"timestamp": "08/16/2022 05:32:49",
"content": "we turn 0.8 to ⁸/10",
"attachments": [],
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},
{
"id": 1009032014600622100,
"author_id": 789854796429000700,
"author_name": "lalla",
"timestamp": "08/16/2022 05:32:59",
"content": "and you get 3 ÷ ⁸/10",
"attachments": [],
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},
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"id": 1009032671680274600,
"author_id": 559593723466481660,
"author_name": "smavinagain",
"timestamp": "08/16/2022 05:35:35",
"content": "30/8",
"attachments": [],
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},
{
"id": 1009033118784700400,
"author_id": 559593723466481660,
"author_name": "smavinagain",
"timestamp": "08/16/2022 05:37:22",
"content": "Now what",
"attachments": [],
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},
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"id": 1009033456732360700,
"author_id": 789854796429000700,
"author_name": "lalla",
"timestamp": "08/16/2022 05:38:43",
"content": "you simplify it",
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},
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"id": 1009033489619882000,
"author_id": 559593723466481660,
"author_name": "smavinagain",
"timestamp": "08/16/2022 05:38:50",
"content": "15/4",
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},
{
"id": 1009033521236553700,
"author_id": 789854796429000700,
"author_name": "lalla",
"timestamp": "08/16/2022 05:38:58",
"content": "proper fraction too",
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"id": 1009033525191774300,
"author_id": 559593723466481660,
"author_name": "smavinagain",
"timestamp": "08/16/2022 05:38:59",
"content": "O",
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},
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"id": 1009033549975924700,
"author_id": 559593723466481660,
"author_name": "smavinagain",
"timestamp": "08/16/2022 05:39:05",
"content": "4?",
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"id": 1009033575154323600,
"author_id": 789854796429000700,
"author_name": "lalla",
"timestamp": "08/16/2022 05:39:11",
"content": "no",
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"author_name": "lalla",
"timestamp": "08/16/2022 05:39:18",
"content": "15/4 = 3¾",
"attachments": [],
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"id": 1009033645908037600,
"author_id": 789854796429000700,
"author_name": "lalla",
"timestamp": "08/16/2022 05:39:28",
"content": "now we turn that into a decimal",
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"id": 1009033651520016500,
"author_id": 559593723466481660,
"author_name": "smavinagain",
"timestamp": "08/16/2022 05:39:29",
"content": "3.75 then",
"attachments": [],
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},
{
"id": 1009033662270013400,
"author_id": 789854796429000700,
"author_name": "lalla",
"timestamp": "08/16/2022 05:39:32",
"content": "yes",
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"author_name": "smavinagain",
"timestamp": "08/16/2022 05:44:53",
"content": "",
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"id": 1009035012923990000,
"author_id": 559593723466481660,
"author_name": "smavinagain",
"timestamp": "08/16/2022 05:44:54",
"content": "What about this",
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},
{
"id": 1009036066147274900,
"author_id": 789854796429000700,
"author_name": "lalla",
"timestamp": "08/16/2022 05:49:05",
"content": "we turn that into a fraction agin",
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},
{
"id": 1009036104286089200,
"author_id": 789854796429000700,
"author_name": "lalla",
"timestamp": "08/16/2022 05:49:14",
"content": "0.16 as a fraction equals to?",
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{
"id": 1009036629303890000,
"author_id": 559593723466481660,
"author_name": "smavinagain",
"timestamp": "08/16/2022 05:51:19",
"content": "160/100?",
"attachments": [],
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},
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"id": 1009038868642795500,
"author_id": 559593723466481660,
"author_name": "smavinagain",
"timestamp": "08/16/2022 06:00:13",
"content": "Hello?",
"attachments": [],
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},
{
"id": 1009039176236286000,
"author_id": 559593723466481660,
"author_name": "smavinagain",
"timestamp": "08/16/2022 06:01:26",
"content": "I’ll do it tomorrow it’s 3 am night night y’all",
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},
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"id": 1009039182284472300,
"author_id": 559593723466481660,
"author_name": "smavinagain",
"timestamp": "08/16/2022 06:01:28",
"content": ".closs",
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},
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"id": 1009039203541196800,
"author_id": 559593723466481660,
"author_name": "smavinagain",
"timestamp": "08/16/2022 06:01:33",
"content": ".close",
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},
{
"id": 1009039206070353900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/16/2022 06:01:33",
"content": "Channel closed",
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}
] |
help-9
|
d5e258e00b3f4ad49d8c340202761195
|
197,868 |
[
{
"id": 1009039459255337100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/16/2022 06:02:34",
"content": "Available help channel!",
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},
{
"id": 1009049664378638300,
"author_id": 184375401466953730,
"author_name": "Hyl1s",
"timestamp": "08/16/2022 06:43:07",
"content": "$$\\frac{(3-4x)x}{2\\sqrt{(1-x)x}}+\\frac{4}{3}(x-1)=\\frac{(3-4y)y}{2\\sqrt{(1-y)y}}+\\frac{4}{3}(y-1)$$",
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"timestamp": "08/16/2022 06:43:07",
"content": "Pinned a message.",
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"id": 1009049674830852100,
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"author_name": "TeXit",
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"author_id": 184375401466953730,
"author_name": "Hyl1s",
"timestamp": "08/16/2022 06:43:22",
"content": "how can I prove there are no other solutions for this except x=y",
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},
{
"id": 1009049763070627800,
"author_id": 184375401466953730,
"author_name": "Hyl1s",
"timestamp": "08/16/2022 06:43:30",
"content": "where x,y<1 positive reals",
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},
{
"id": 1009051376707452900,
"author_id": 209300311091838980,
"author_name": "Peacemaker II",
"timestamp": "08/16/2022 06:49:55",
"content": "what about the general case:\nwhen does f(x) = f(y) have a solution other than x = y?",
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},
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"id": 1009051833194520700,
"author_id": 184375401466953730,
"author_name": "Hyl1s",
"timestamp": "08/16/2022 06:51:44",
"content": "when it is not injective?",
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},
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"id": 1009052834777550800,
"author_id": 184375401466953730,
"author_name": "Hyl1s",
"timestamp": "08/16/2022 06:55:43",
"content": "uh i think I got it",
"attachments": [],
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},
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"id": 1009053172309958700,
"author_id": 184375401466953730,
"author_name": "Hyl1s",
"timestamp": "08/16/2022 06:57:03",
"content": ".close",
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},
{
"id": 1009053173815705600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/16/2022 06:57:03",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
61e65372064248b1a99f7ce868d3db4c
|
197,869 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/16/2022 06:58:04",
"content": "Available help channel!",
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},
{
"id": 1009058577966710800,
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"timestamp": "08/16/2022 07:18:32",
"content": "Pinned a message.",
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"content": "Channel closed",
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}
] |
help-9
|
2095853036904f11a2660d5f81ed9359
|
197,870 |
[
{
"id": 959852995846209500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 12:33:07",
"content": "Available help channel!",
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},
{
"id": 959854040831914000,
"author_id": 458300060455665660,
"author_name": "Fegres",
"timestamp": "04/02/2022 12:37:16",
"content": "Hi\nI need to solve this problem\nI tried using WolframAlpha and 2 other calculators but none of them helped\nMaybe I wrote something wrong?",
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"content": "Pinned a message.",
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"timestamp": "04/02/2022 12:37:38",
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"id": 959854314258591900,
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"author_name": "ScapeProf",
"timestamp": "04/02/2022 12:38:21",
"content": ",w sum from k=1 to 10^6 of 4*(-1)^(k+1)/(2k-1)",
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"timestamp": "04/02/2022 12:38:25",
"content": "Results provided by WolframAlpha",
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"author_name": "Fegres",
"timestamp": "04/02/2022 12:39:42",
"content": "Why this has an `i` in the end?\nThis number shouldn't be complex",
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"id": 959854741272272900,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "04/02/2022 12:40:03",
"content": "judging by the fact that the term is also e-14",
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"timestamp": "04/02/2022 12:40:07",
"content": "some kind of rounding error",
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"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/02/2022 12:40:08",
"content": "because hard to sum that many numbers for WA",
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"timestamp": "04/02/2022 12:40:37",
"content": "It was a programming task and it worked in python and I want to check the answer",
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"timestamp": "04/02/2022 12:40:41",
"content": "I see",
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"timestamp": "04/02/2022 12:41:05",
"content": "I wouldn't recommend calling the variable sum",
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"author_name": "Remavas",
"timestamp": "04/02/2022 12:41:24",
"content": "there's a reason it's highlighted",
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"author_name": "Fegres",
"timestamp": "04/02/2022 12:42:10",
"content": "Ok, now I see the problem\nThank you guys 😉",
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"id": 959855295234998300,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "04/02/2022 12:42:15",
"content": "https://docs.quantifiedcode.com/python-anti-patterns/correctness/assigning_to_builtin.html",
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"author_id": 373884980977336300,
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"timestamp": "04/02/2022 12:42:17",
"content": "😉",
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"id": 959855337178021900,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "04/02/2022 12:42:25",
"content": "(not math advice, I know, but still valuable)",
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"id": 959855598000820400,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "04/02/2022 12:43:27",
"content": "also",
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"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "04/02/2022 12:43:32",
"content": "you're not printing the multiplied result",
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"timestamp": "04/02/2022 12:57:11",
"content": "@Fegres Has your question been resolved?",
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"timestamp": "04/02/2022 13:09:14",
"content": "Channel closed",
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}
] |
help-9
|
d667bc6d28ff4086b9031f1f2ea1d7da
|
197,871 |
[
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"content": "Available help channel!",
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"content": "huh??",
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"author_name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧",
"timestamp": "08/16/2022 07:44:24",
"content": "how to differentiate f(x)",
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"author_id": 835120698581057700,
"author_name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧",
"timestamp": "08/16/2022 07:44:28",
"content": "i keep getting stuck",
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"timestamp": "08/16/2022 07:44:36",
"content": "like differentiate with a and b",
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"author_name": "🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧",
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"content": "i need to differentiate it using first principles",
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"content": "i keep getting stuck with a unsolvable part",
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"timestamp": "08/16/2022 07:56:12",
"content": "i got until here is this correct",
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"timestamp": "08/16/2022 07:56:22",
"content": "then we can use difference of squares right?",
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"content": "@🍧 𝓈𝓊𝓂𝓂𝑒𝓇𝓈𝒽𝒾𝓃𝑒 🍧 Has your question been resolved?",
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"content": "ig take ax+b common",
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"content": "aqnd then apply binomial theorem",
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"content": "nah that wont work ig",
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"timestamp": "08/16/2022 08:25:27",
"content": "oh i see",
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"timestamp": "08/16/2022 08:25:30",
"content": "thanks!",
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"timestamp": "08/16/2022 08:25:45",
"content": ".close",
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help-9
|
7a0e508fa1e3469d96c49ab2f9135410
|
197,872 |
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"content": "yw",
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"content": "@узбеквкитае Has your question been resolved?",
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"content": "please?",
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"content": ",rotate",
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"timestamp": "08/16/2022 09:18:36",
"content": "anything?",
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"content": "idk",
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"author_name": "divyansh",
"timestamp": "08/16/2022 09:19:16",
"content": "is it college stuff",
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"id": 1009090970396139600,
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"author_name": "узбеквкитае",
"timestamp": "08/16/2022 09:27:15",
"content": "i dont know either im just a high schooler trying to learn mathematical physics",
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"author_id": 1004477624040575000,
"author_name": "узбеквкитае",
"timestamp": "08/16/2022 09:27:42",
"content": "and just though it was college /university stuff",
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"author_id": 374264097673314300,
"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 09:34:32",
"content": "Have you already covered all of calculus? And I do mean ALL of it.",
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"author_id": 374264097673314300,
"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 09:36:28",
"content": "Including Calculus I, II and III in all of their entirety.",
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},
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"id": 1009093874192494600,
"author_id": 374264097673314300,
"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 09:38:47",
"content": "By the way, if it is Mathematical Physics, I believe you would need far more than that. Since it is an inherently mathematical discipline, I should assume you must know Analysis, Linear Algebra and so much more to get there.",
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"timestamp": "08/16/2022 09:57:43",
"content": "@узбеквкитае Has your question been resolved?",
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"timestamp": "08/16/2022 10:05:52",
"content": "That is linear algebra for sure. you have vectors over there and also i can't see the image clearly.",
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"timestamp": "08/16/2022 10:15:27",
"content": "no just 1 and 2, and im learning the 3rd",
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"author_name": "узбеквкитае",
"timestamp": "08/16/2022 10:16:26",
"content": "and partial derivatives",
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"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 10:17:46",
"content": "It is of great importance how comfortable you are with the first two Calculus stages. Are you comfortable with the epsilon-delta argument? Do you know the conditions and applications of the various “trivial” Calculus statements, like the Mean Value Theorems? How many problems did you solve? Do you treat limits as an exercise in L’Hopital’s Rule or do you look for other ways around?",
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"timestamp": "08/16/2022 10:18:02",
"content": "Can you please type this in TeXit ? and ask more clearly about what you didn't understand ?",
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"id": 1009103858569592800,
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"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 10:18:28",
"content": "It should be kept in mind that we are only talking about Calculus now, not even touching Linear Algebra. Mathematical Physics is so much farther.",
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"id": 1009104129949442000,
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"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 10:19:32",
"content": "These are just a few questions that should be answered before you embark upon your studies in Higher Mathematics. Like I said, there is so much more to it.",
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"id": 1009104498117062800,
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"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 10:21:00",
"content": "The reason I doubt your actual knowledge is how you formulated your question. Someone who actually knows the material required would never just write some equations without any context, while simply asking to “explain”.",
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"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 10:28:08",
"content": "@узбеквкитае",
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"author_id": 1004477624040575000,
"author_name": "узбеквкитае",
"timestamp": "08/16/2022 10:32:49",
"content": "it's just that I dont see how I got there",
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},
{
"id": 1009107572223131600,
"author_id": 1004477624040575000,
"author_name": "узбеквкитае",
"timestamp": "08/16/2022 10:33:13",
"content": "I know intuitivly to resolve it but cant exolain",
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"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 10:33:18",
"content": "That does not make it clearer at all.",
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"author_name": "узбеквкитае",
"timestamp": "08/16/2022 10:34:00",
"content": "all right guess ill do it on my own then",
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},
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"id": 1009107913274556500,
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"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 10:34:34",
"content": "Ok. It might seem irrelevant, but I should like to ask you to prove that the limit as x tends to 0 of sin(x)/x is unity. Prove it.",
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"id": 1009108297674137700,
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"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 10:36:06",
"content": "Without looking it up anywhere.",
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},
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"id": 1009108938723180500,
"author_id": 374264097673314300,
"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 10:38:39",
"content": "By Jove, this discussion is taking forever.",
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"reference": null
},
{
"id": 1009110996171898900,
"author_id": 374264097673314300,
"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 10:46:49",
"content": "@узбеквкитае Please either support the discussion, or close the channel.",
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"author_name": "Mathematics Bot",
"timestamp": "08/16/2022 11:34:01",
"content": "@узбеквкитае Has your question been resolved?",
"attachments": [],
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},
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"id": 1009131960444125300,
"author_id": 712527983738355700,
"author_name": "Jasper",
"timestamp": "08/16/2022 12:10:08",
"content": "Bro literally left",
"attachments": [],
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},
{
"id": 1009135180289671200,
"author_id": 374264097673314300,
"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 12:22:55",
"content": "How can we close this channel?",
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},
{
"id": 1009137969917083600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/16/2022 12:34:00",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
5c76c9c0469d43b49adb206e70342fd5
|
197,873 |
[
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"author_name": "Mathematics Bot",
"timestamp": "08/16/2022 12:54:30",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1009149003113439400,
"author_id": 786519677228548100,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "08/16/2022 13:17:51",
"content": "",
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"timestamp": "08/16/2022 13:17:51",
"content": "Pinned a message.",
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"author_id": 786519677228548100,
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"timestamp": "08/16/2022 13:18:21",
"content": "why is this wrong?",
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},
{
"id": 1009149485584220200,
"author_id": 160921656313905150,
"author_name": "Katharine",
"timestamp": "08/16/2022 13:19:46",
"content": "you cannot split the fraction in that way",
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},
{
"id": 1009149518366916700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/16/2022 13:19:54",
"content": "a/(b-c) != a/b - a/c",
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},
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"timestamp": "08/16/2022 13:33:21",
"content": "@¯\\_(ツ)_/¯ Has your question been resolved?",
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"author_name": "Dato",
"timestamp": "08/16/2022 13:35:19",
"content": "I thought that epsilon-delta is a theorem from the analysis. Why should someone learning just Calculus know it?",
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"timestamp": "08/16/2022 13:37:02",
"content": "Well I would not say it is a “theorem”, more like a formal concept a student would be better off understanding and getting comfortable with early on in his studies. My textbook, for instance, which is a Calculus text, dedicates a great deal of time and attention to the notion of epsilon-delta.",
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"author_name": "Dato",
"timestamp": "08/16/2022 13:37:47",
"content": "Is that Spivak?",
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"id": 1009154211025518700,
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"timestamp": "08/16/2022 13:38:33",
"content": "Of course, you can go full “Calculus for the Practical Man” style, with literal infinitesimal quantities, but then you must either suffer throughout the Analysis course you are going to face, or you are bound to become a physicist/engineer.",
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"timestamp": "08/16/2022 13:39:05",
"content": "No, though I know he has quite a repute. I have got Richard Courant’s “Differential and Integral Calculus”.",
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"author_name": "Dato",
"timestamp": "08/16/2022 13:40:53",
"content": "From my point of view it's really strange. Recently I’ve read that people do linear algebra before multivariable calculus",
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"id": 1009154860773544000,
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"timestamp": "08/16/2022 13:41:07",
"content": "What is so strange about it?",
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"id": 1009155032740024400,
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"author_name": "Dato",
"timestamp": "08/16/2022 13:41:48",
"content": "I think that it is better to start from a practical approach. Do some physics with calculus and see how math can be applied",
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"timestamp": "08/16/2022 13:42:29",
"content": "You'll probably get more intuition that way",
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"timestamp": "08/16/2022 13:44:14",
"content": "In my opinion, rigour and intuition are both equally important if it is Mathematics that is your prime concern. They should co-exist harmoniously, not infringing upon the significance of one another. One analogy I like to give in this connexion is the following one: \n\nI imagine intuition as the compass a sailor — a mathematician — uses in order to navigate the endless seas of Mathematics, his ship being his soundness and exactness. The ship is only useful when its course is given, while at the same time you cannot cross the great waters with a compass alone.",
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"author_name": "Dato",
"timestamp": "08/16/2022 13:46:07",
"content": "Yes, I learned differential equations before linear algebra. And it was more like tips and tricks",
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"id": 1009156446157545500,
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"author_name": "Dato",
"timestamp": "08/16/2022 13:47:25",
"content": "But learning analysis at the same time as calculus is insane",
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"timestamp": "08/16/2022 13:48:21",
"content": "Channel closed",
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] |
help-9
|
be03cd182c7c4d6782ae5f04cc333d40
|
197,874 |
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"content": ".reopen",
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"timestamp": "08/16/2022 13:49:03",
"content": "I believe the “tips and tricks” approach to be vastly inefficient. It is in this way that students, for instance, try to apply L’Hopital’s Rule to every single limit they encounter (even for sin(x)/x as x tends to 0!) without ever seeking more elegant and easy ways around the problem.",
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"content": "Available help channel!",
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"id": 1009157626975752300,
"author_id": 751516368159113300,
"author_name": "Dato",
"timestamp": "08/16/2022 13:52:07",
"content": "Yes, I still didn't learn linear algebra the proper way. So I don't have the right to give an opinion about this.",
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"timestamp": "08/16/2022 13:52:08",
"content": "Pinned a message.",
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"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 13:53:24",
"content": "To be fair, this applies to myself as well. The only course I am still treading through (carefully, though) is Calculus. Linear Algebra is still only in my textbook (I have not opened it yet).",
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"author_name": "Dato",
"timestamp": "08/16/2022 13:54:20",
"content": "Thought practical approach is a lot of fun. You can start doing upper-undergraduate physics like classical mechanics and even a little bit of relativity",
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"timestamp": "08/16/2022 13:54:25",
"content": "But seeing the attitudes people have towards, say, Calculus and what blunders they make when they appeal to intuition only, without having trained themselves on the formalisms is often quite amusing.",
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"timestamp": "08/16/2022 13:55:24",
"content": "I would still try to meet the prerequisites, though. The full understanding, as I see it, can only come when you can finally find your way around all of the minutiæ of the concepts at play.",
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"id": 1009158689925648400,
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"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 13:56:20",
"content": "In a way, it might seem as if I am endorsing rote learning, but that is not true.",
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},
{
"id": 1009159517201768600,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "08/16/2022 13:59:38",
"content": "I dont think ive learnt anything the proper way",
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"author_name": "idontsleepanymore",
"timestamp": "08/16/2022 13:59:44",
"content": "Ill start when high school ends",
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"author_name": "Dato",
"timestamp": "08/16/2022 14:00:17",
"content": "I tried studying point set topology and it was painful. It seemed like I wasn’t doing any progress. Even though I devoted many hours a day to it. If only the author of the textbook provided clear examples and more intuition behind it, maybe I would progress faster.",
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"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 14:03:29",
"content": "Had you covered a course in Set Theory beforehand?",
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"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 14:04:10",
"content": "By the way, what was your exact approach to studying Calculus?",
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"author_id": 374264097673314300,
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"timestamp": "08/16/2022 14:04:18",
"content": "Out of pure interest.",
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"author_name": "idontsleepanymore",
"timestamp": "08/16/2022 14:11:27",
"content": "The highschools in my country go through the basics",
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"timestamp": "08/16/2022 14:11:49",
"content": "And what country are you from?",
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"timestamp": "08/16/2022 14:11:55",
"content": "India",
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"author_name": "Dato",
"timestamp": "08/16/2022 14:15:13",
"content": "You probably won't like that. I started from Paul’s Calculus Notes. Then I read differential equations by Zil. Now I want to read Princeton Notes Series for Fourier Analysis.",
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"author_id": 751516368159113300,
"author_name": "Dato",
"timestamp": "08/16/2022 14:17:01",
"content": "Also, I tried reading Analysis by Rudin, but topology is a prerequisite for it. Thus, I'm reading it now.",
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"timestamp": "08/16/2022 14:17:54",
"content": "Yes, I am a lot more conventional in this respect. I have been reading the textbook I mentioned for a year now and have only covered 220 pages. I am increasingly persuaded that only by going through a systematic course, with as many practice problems as possible, can an understanding of the material be achieved.",
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"timestamp": "08/16/2022 14:18:47",
"content": "For me, only a good textbook can pose as a remedy for ignorance.",
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"author_name": "Dato",
"timestamp": "08/16/2022 14:19:56",
"content": "I read the first three or four chapters from Jesh(don't remember the author’s name)",
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"timestamp": "08/16/2022 14:21:58",
"content": "I believe the greatest problem of your “chaotic” approach being that confusion must be a lot more painful to bear, for you can never be entirely sure whether it was you who fauled to understand something or read something with care, or it was the source’s fault for not giving you any information. With textbooks the matter becomes so much easier: you know exactly what you know and what you do not, allowing for more efficacious studying.",
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"author_name": "Dato",
"timestamp": "08/16/2022 14:22:13",
"content": "I'm really bad at proof writing, this is why I do more physics than math. Do you have that problem too?",
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"author_id": 374264097673314300,
"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 14:22:45",
"content": "I remember myself following a similar route before finally stumbling upon my current textbook.",
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"timestamp": "08/16/2022 14:23:51",
"content": "No, not really. I mean that I cannot say that I am particularly “good” at proof-writing, but I am not bad either. Quite frankly, I cannot remember any moment of my mathematical life that would be tarnished by failure at writing proofs.",
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"author_id": 751516368159113300,
"author_name": "Dato",
"timestamp": "08/16/2022 14:24:21",
"content": "I agree, textbooks are better than internet sources.",
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},
{
"id": 1009165786092425300,
"author_id": 374264097673314300,
"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 14:24:32",
"content": "I love following and tracking all of the subtleties of the subject, I am addicted to rigour!",
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"id": 1009166118528749700,
"author_id": 751516368159113300,
"author_name": "Dato",
"timestamp": "08/16/2022 14:25:52",
"content": "That feeling when I think that proof is trivial, but i cant even prove it axiomatically somehow. I hate it",
"attachments": [],
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"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 14:26:30",
"content": "Going through something with a system in mind really relieves you of the confusion of doing something. If you do it with care, you shall notice the feeling of *knowing* what you are doing.",
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"id": 1009166308513947800,
"author_id": 751516368159113300,
"author_name": "Dato",
"timestamp": "08/16/2022 14:26:37",
"content": "This is why i skip proof exercises😛",
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},
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"author_id": 374264097673314300,
"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 14:26:58",
"content": "Oh God, you are going into a vicious circle.",
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"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 14:27:57",
"content": "I suggest that you do as many proofs as possible, however painful that might be. My motto regarding proofs is “Nothing is self-evident, everything is logical”.",
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"author_id": 751516368159113300,
"author_name": "Dato",
"timestamp": "08/16/2022 14:28:43",
"content": "I know, i’ll do them from now on",
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},
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"timestamp": "08/16/2022 14:29:17",
"content": "Feel free to write to me if you do some proof, say, in Calculus. I should be glad to help you with checking.",
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"timestamp": "08/16/2022 14:30:08",
"content": "Okay, thank you.",
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"author_name": "Dato",
"timestamp": "08/16/2022 14:31:22",
"content": "We should probably end chat. Otherwise we can be banned for writing in help section",
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"id": 1009167530188865500,
"author_id": 751516368159113300,
"author_name": "Dato",
"timestamp": "08/16/2022 14:31:28",
"content": "Bye",
"attachments": [],
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},
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"id": 1009167550967455900,
"author_id": 374264097673314300,
"author_name": "Karbyshev Illia",
"timestamp": "08/16/2022 14:31:33",
"content": "Agreed. Bye.",
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"timestamp": "08/16/2022 14:31:50",
"content": "Close it",
"attachments": [],
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},
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"id": 1009167648573112300,
"author_id": 751516368159113300,
"author_name": "Dato",
"timestamp": "08/16/2022 14:31:56",
"content": ".close",
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},
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"id": 1009167649999167600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/16/2022 14:31:57",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
d186602a784d45a2a4cfec528584a5f3
|
197,875 |
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"author_name": "Mathematics Bot",
"timestamp": "08/16/2022 14:32:57",
"content": "Available help channel!",
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"id": 1009172212995076100,
"author_id": 548553994885398500,
"author_name": "KhanMC",
"timestamp": "08/16/2022 14:50:05",
"content": "I need help with this",
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"content": "Pinned a message.",
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"author_id": 548553994885398500,
"author_name": "KhanMC",
"timestamp": "08/16/2022 14:50:33",
"content": "I can't wrap my head around how this might work",
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"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "08/16/2022 14:51:34",
"content": "have you ever heard of vertex form?",
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"author_id": 548553994885398500,
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"timestamp": "08/16/2022 14:51:43",
"content": "I have not",
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"author_name": "Deleted User",
"timestamp": "08/16/2022 14:51:55",
"content": "It's just completing the square",
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"timestamp": "08/16/2022 14:51:57",
"content": "The process would be the same",
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"timestamp": "08/16/2022 14:52:07",
"content": "Yes",
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"author_name": "KhanMC",
"timestamp": "08/16/2022 14:52:14",
"content": "I failed to mention that",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/16/2022 14:52:20",
"content": "Do you want me to show you a general form of it?",
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"id": 1009172807357313200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/16/2022 14:52:26",
"content": "Or just for this specific one?",
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"author_id": 548553994885398500,
"author_name": "KhanMC",
"timestamp": "08/16/2022 14:52:41",
"content": "Something similar is fine too, if you don't mind",
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"id": 1009172960780755000,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "08/16/2022 14:53:03",
"content": "do you need help completing the square because it's really all it is",
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"timestamp": "08/16/2022 14:53:13",
"content": "Yeah",
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"timestamp": "08/16/2022 15:00:38",
"content": ".",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/16/2022 15:02:01",
"content": "Sorry, writing in latex especially on phone is v hard",
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"author_name": "Deleted User",
"timestamp": "08/16/2022 15:07:44",
"content": "@KhanMC is this fine for you?",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/16/2022 15:08:15",
"content": "Man there's so many formatting errors with the latex one sec",
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"author_name": "Deleted User",
"timestamp": "08/16/2022 15:09:31",
"content": "Also, before you do this, you should know this identity.\n$$(\\alpha+\\beta)^2=\\alpha^2+\\beta^2+2\\alpha\\beta$$\nAll right, so now every quadratic equation looks something like this.\n$$ax^2+bx+c=0$$\nYou can factor out $a$\n$$a(x^2+\\frac{bx}{a})+c=0$$\nNow we use the identity from above. Since you need to complete the square, we can use $\\frac{bx}{a} = 2\\alpha\\beta$\nIn this case, our $\\alpha$ is x.\nSo $$\\frac{bx}{a}=2\\beta x$$\n$$\\beta = \\frac{b}{2a}$$\nNow we can re-write our equation as\n$$a(x+2\\frac{b}{2a}x+\\frac{b^2}{4a^2}-\\frac{b^2}{4a^2})+c=0$$\nWe take one fraction out of the bracket. And we can write $(x+2\\frac{b}{2a}x + \\frac{b^2}{4a^2})$ as $(x+\\frac{b}{2a})^2$\nSo our equation is re-written as\n$$a(x+\\frac{b}{2a})^2+c-\\frac{b^2}{4a^2} \\cdot a= 0$$\n$$a(x+\\frac{b}{2a})^2+c-\\frac{b^2}{4a}=0$$",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/16/2022 15:09:39",
"content": "**idecanymore**",
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"author_name": "Mathematics Bot",
"timestamp": "08/16/2022 15:15:38",
"content": "@KhanMC Has your question been resolved?",
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"author_name": "KhanMC",
"timestamp": "08/16/2022 15:22:02",
"content": "Sorry, I snoozed out myself. It's late. I'll check",
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"id": 1009181206895657100,
"author_id": 548553994885398500,
"author_name": "KhanMC",
"timestamp": "08/16/2022 15:25:49",
"content": "How is (bx)/a equal to 2AB?",
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"id": 1009181527457923200,
"author_id": 548553994885398500,
"author_name": "KhanMC",
"timestamp": "08/16/2022 15:27:05",
"content": "I suppose I've issues with the fundamentals",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/16/2022 15:27:47",
"content": "We want to make a square in there",
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"author_name": "Deleted User",
"timestamp": "08/16/2022 15:28:06",
"content": "And bx/a is the only term with x to the first power",
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},
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"timestamp": "08/16/2022 15:28:45",
"content": "So we can deduce that $bx/a = 2\\beta x$",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/16/2022 15:28:47",
"content": "**idecanymore**",
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"timestamp": "08/16/2022 15:29:38",
"content": "Huh",
"attachments": [],
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},
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"id": 1009182243459178500,
"author_id": 548553994885398500,
"author_name": "KhanMC",
"timestamp": "08/16/2022 15:29:56",
"content": "Interesting. I think I understand. Much thanks for your time",
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},
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"id": 1009182331111756000,
"author_id": 548553994885398500,
"author_name": "KhanMC",
"timestamp": "08/16/2022 15:30:17",
"content": "I'll close the channel",
"attachments": [],
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},
{
"id": 1009182347188511000,
"author_id": 548553994885398500,
"author_name": "KhanMC",
"timestamp": "08/16/2022 15:30:21",
"content": ".close",
"attachments": [],
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},
{
"id": 1009182348962697300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/16/2022 15:30:21",
"content": "Channel closed",
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}
] |
help-9
|
7f8e384d456f4938ae11737f0e6c7cab
|
197,876 |
[
{
"id": 1009182602151866500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/16/2022 15:31:22",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1009183142105595900,
"author_id": 474432705036156900,
"author_name": "KunoTheSumo",
"timestamp": "08/16/2022 15:33:30",
"content": "I have this problem I kind of get but not quite",
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},
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"author_name": "Mathematics Bot",
"timestamp": "08/16/2022 15:33:31",
"content": "Pinned a message.",
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"content": "@Helpers",
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},
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"id": 1009189493850525700,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/16/2022 15:58:45",
"content": "which part are you stuck on?",
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"timestamp": "08/16/2022 16:03:45",
"content": "@KunoTheSumo Has your question been resolved?",
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"timestamp": "08/16/2022 16:18:45",
"content": "Channel closed",
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}
] |
help-9
|
3d95d12ab5fb431c9496b0386aab8a83
|
197,877 |
[
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"id": 1009196035421261800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/16/2022 16:24:44",
"content": "Available help channel!",
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},
{
"id": 1009197371642609800,
"author_id": 683211807967805400,
"author_name": "PKLJ",
"timestamp": "08/16/2022 16:30:03",
"content": "is it right to read \" Log4 16 \" as \"the base 4 logarithm of 16\"?\nthe equation would be asking what power of 4 brings 16, correct?",
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"timestamp": "08/16/2022 16:30:04",
"content": "Pinned a message.",
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"author_id": 683211807967805400,
"author_name": "PKLJ",
"timestamp": "08/16/2022 16:31:47",
"content": "thats different from finding the root, where youre supposed to find the number which, raised to a certain power, yields the original number, right",
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},
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"id": 1009199976850665500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/16/2022 16:40:24",
"content": "Yes",
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"id": 1009199995129446500,
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"author_name": "Deleted User",
"timestamp": "08/16/2022 16:40:28",
"content": "Log finds the power",
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"timestamp": "08/16/2022 16:40:49",
"content": "Root (radical sign) finds the base",
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"author_name": "PKLJ",
"timestamp": "08/16/2022 16:42:25",
"content": "alright great, thanks for the help",
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},
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"id": 1009200657909162000,
"author_id": 683211807967805400,
"author_name": "PKLJ",
"timestamp": "08/16/2022 16:43:06",
"content": ".close",
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},
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"timestamp": "08/16/2022 16:43:07",
"content": "Channel closed",
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}
] |
help-9
|
d981c7b19b3c4168859bfe2d9168316d
|
197,878 |
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"content": "@quiët Has your question been resolved?",
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"timestamp": "08/16/2022 18:11:32",
"content": "@quiët Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
aeb8c58702e544f9b20cba0570452992
|
197,879 |
[
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"timestamp": "08/16/2022 18:34:19",
"content": "Available help channel!",
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},
{
"id": 1009250293462077400,
"author_id": 714553878837985300,
"author_name": "Ars Gratiae",
"timestamp": "08/16/2022 20:00:20",
"content": "can someone help me find a closed form pattern for $\\T(n)=\\sum_{k=0}^{n}{\\frac{1}{2k+1}}$",
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},
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"content": "Pinned a message.",
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"id": 1009250305587806300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/16/2022 20:00:23",
"content": "**Ars Gratiae**\nCompile Error! Click the :errors: reaction for more information.\n(You may edit your message to recompile.)",
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"author_id": 714553878837985300,
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"timestamp": "08/16/2022 20:00:36",
"content": "$T(n)=\\sum_{k=0}^{n}{\\frac{1}{2k+1}}$",
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"id": 1009250371098644600,
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"timestamp": "08/16/2022 20:00:39",
"content": "**Ars Gratiae**",
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"timestamp": "08/16/2022 20:03:06",
"content": ".close",
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{
"id": 1009250987795554300,
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"timestamp": "08/16/2022 20:03:06",
"content": "Channel closed",
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}
] |
help-9
|
7dcc0198da9a4bb5af287ca9c18990f0
|
197,880 |
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"timestamp": "08/16/2022 20:10:22",
"content": "Available help channel!",
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},
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"id": 1009257393735090200,
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"author_name": "MrBT",
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"content": "Pinned a message.",
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"author_id": 231936726816391170,
"author_name": "MrBT",
"timestamp": "08/16/2022 20:28:36",
"content": "please how do i do this",
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"id": 1009257477625364500,
"author_id": 231936726816391170,
"author_name": "MrBT",
"timestamp": "08/16/2022 20:28:53",
"content": "i heard im supposed to guess y = x^m",
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"id": 1009257510236074000,
"author_id": 231936726816391170,
"author_name": "MrBT",
"timestamp": "08/16/2022 20:29:01",
"content": "how do i even guess it",
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},
{
"id": 1009257787458601000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/16/2022 20:30:07",
"content": "Just something you memorize",
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"id": 1009258271317708900,
"author_id": 231936726816391170,
"author_name": "MrBT",
"timestamp": "08/16/2022 20:32:02",
"content": "is there a calculator",
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},
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"id": 1009258289994924200,
"author_id": 231936726816391170,
"author_name": "MrBT",
"timestamp": "08/16/2022 20:32:07",
"content": "that i look up a chart",
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},
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"id": 1009262065401212900,
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"author_name": "Mathematics Bot",
"timestamp": "08/16/2022 20:47:07",
"content": "@MrBT Has your question been resolved?",
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"timestamp": "08/16/2022 20:47:31",
"content": "Someone please give me one",
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"timestamp": "08/16/2022 21:17:31",
"content": "@MrBT Has your question been resolved?",
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"timestamp": "08/16/2022 21:30:40",
"content": ".close",
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"content": "Channel closed",
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}
] |
help-9
|
81977d5e675f4972a595b4ae291b61bc
|
197,881 |
[
{
"id": 955706160529428500,
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"author_name": "Mathematics Bot",
"timestamp": "03/22/2022 01:55:04",
"content": "Available help channel!",
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},
{
"id": 955709375442469000,
"author_id": 649439530104913900,
"author_name": "Luczow",
"timestamp": "03/22/2022 02:07:51",
"content": "For the equation x^2 +2x = y",
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},
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"id": 955709377086636000,
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"timestamp": "03/22/2022 02:08:22",
"content": "Why does the parabola go down to -1",
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"id": 955709573854003200,
"author_id": 649439530104913900,
"author_name": "Luczow",
"timestamp": "03/22/2022 02:08:38",
"content": "I understand how to work out the -2 and 0 x intercept",
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"timestamp": "03/22/2022 02:09:00",
"content": "But down know about the -1 y cord",
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"content": ".close",
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help-9
|
3fe3f53a6e9b436ca12ee5b9f9609ec3
|
197,882 |
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{
"id": 959865206715056100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 13:21:38",
"content": "Available help channel!",
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},
{
"id": 959866047253581800,
"author_id": 247487046795395070,
"author_name": "biggydom",
"timestamp": "04/02/2022 13:24:59",
"content": "If you have a mean of 81 and a standard deviation of 7, what is the -3 standard deviation on a normal distribution curve?",
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"content": "Pinned a message.",
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"id": 959866102849110100,
"author_id": 247487046795395070,
"author_name": "biggydom",
"timestamp": "04/02/2022 13:25:12",
"content": "Is there a calculator to solve this problem?",
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},
{
"id": 959867040041160800,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/02/2022 13:28:55",
"content": "The question doesn't make sense as asked",
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},
{
"id": 959867255770996700,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/02/2022 13:29:47",
"content": "Should it be\n\"If you have a normal distribution with mean 81, sd 7, what's the area to the left of -3?\"",
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{
"id": 959867372611731500,
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"author_name": "Kaynex",
"timestamp": "04/02/2022 13:30:15",
"content": "That's going to be very tiny though",
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"timestamp": "04/02/2022 13:40:12",
"content": "@biggydom Has your question been resolved?",
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"author_id": 247487046795395070,
"author_name": "biggydom",
"timestamp": "04/02/2022 13:46:09",
"content": "Yes I think that’s what it should be",
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},
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"id": 959871461399625900,
"author_id": 247487046795395070,
"author_name": "biggydom",
"timestamp": "04/02/2022 13:46:29",
"content": "Seems I’m being taught by someone who doesn’t know math either",
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"id": 959871983653355600,
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"author_name": "biggydom",
"timestamp": "04/02/2022 13:48:34",
"content": "That’s all the question says is there a numerical answer?",
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] |
help-9
|
1dd6d68c963f4098903208914cd30b75
|
197,883 |
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help-9
|
97070565f0ca4c97859061c2787c0878
|
197,884 |
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"content": ",w (x+iy)^2 + (x-iy) = 1",
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"content": "you are missing a solution to 2xy - y = 0",
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"content": "note that you have y^2 = -1/4, but y is by definition real so x=1/2 doesn't lead to any solutions (though it's good that you checked it)",
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"content": "So y = 0",
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"content": "Plug in",
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"content": "x^2 + x = 1",
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"content": "?",
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"timestamp": "08/16/2022 22:17:30",
"content": "Solve for x?",
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"content": "yup",
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"content": "you should get two real solutions for x",
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"content": "x(x+1) = 1",
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"timestamp": "08/16/2022 22:27:05",
"content": "Forgetting how to approach this.",
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"author_id": 220517274845577200,
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"timestamp": "08/16/2022 22:32:03",
"content": "expand",
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"author_id": 281221474604548100,
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"timestamp": "08/16/2022 22:32:38",
"content": "Expand?",
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"timestamp": "08/16/2022 22:32:41",
"content": "Oh",
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"timestamp": "08/16/2022 22:32:53",
"content": "make it x^2 + x - 1 = 0",
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"content": "x^2 + x - 1",
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"timestamp": "08/16/2022 22:33:00",
"content": "Ok",
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"timestamp": "08/16/2022 22:34:00",
"content": "**= 0**",
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"content": "That’s x?",
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"content": "as written,no",
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"content": "close",
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"content": "/2 on the sqrt 5",
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"content": "Ramonov the type of professor to fail a student forgetting to put + C on integrations.",
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"content": "yup",
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"timestamp": "08/16/2022 22:37:40",
"content": "because it's WRONG",
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"timestamp": "08/16/2022 22:37:43",
"content": "All fun and games, don’t take it personal @ramonov",
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"timestamp": "08/16/2022 22:38:37",
"content": "ur not wrong. that's sounds like something I'd be inclined to do",
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"content": "Lol",
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"timestamp": "08/16/2022 22:40:14",
"content": "$+ \\zeta$where $\\zeta$ is a constant",
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"content": "**ℝamonov**",
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"timestamp": "08/16/2022 22:40:31",
"content": "Alright I got more.",
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"content": "Thanks",
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help-9
|
07c5a2e3309e44ca8cba88c7b1448d84
|
197,885 |
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"content": "How do I calculate a side limit?",
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"content": "if it's a piece wise function see which condition applies for the side limit and plug it there",
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"content": "if it's a normal function checking first whether the limit exist or not is also a good idea",
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"timestamp": "08/16/2022 23:06:15",
"content": "@muppetman Has your question been resolved?",
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"timestamp": "08/16/2022 23:11:11",
"content": "what if it exists but approaches two different values",
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"timestamp": "08/16/2022 23:11:23",
"content": "like imagine two lines one approaches y=3 the other y=2",
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"timestamp": "08/16/2022 23:11:27",
"content": "at x=0",
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"author_name": "Mohad",
"timestamp": "08/16/2022 23:12:17",
"content": "the limit exist **if and only if** the side limits both exist and both of them are equal",
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"timestamp": "08/16/2022 23:12:38",
"content": "if that's the case then the limit doesn't exist",
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"timestamp": "08/16/2022 23:12:48",
"content": "then what is the point of side limits",
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"timestamp": "08/16/2022 23:12:55",
"content": "if they are always equal",
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"timestamp": "08/16/2022 23:13:31",
"content": "when I say `the limit`",
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"timestamp": "08/16/2022 23:13:41",
"content": "I mean both the left and right limit",
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"timestamp": "08/16/2022 23:14:04",
"content": "if the left limit is 3 and the right limit is 2 at the point x = 0",
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"timestamp": "08/16/2022 23:14:16",
"content": "then *the limit* doesn't exist",
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"timestamp": "08/16/2022 23:14:19",
"content": "but the side limits do",
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"timestamp": "08/16/2022 23:14:20",
"content": "ok, i guess what i mean then is how to calculate the side limits",
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"timestamp": "08/16/2022 23:14:28",
"content": "for a function like i described",
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"timestamp": "08/16/2022 23:14:51",
"content": "as I said, first calculate the actual limit, if it exists then both side limits are the same and they equal the limit at the point",
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"timestamp": "08/16/2022 23:14:59",
"content": "for a function that you described",
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"timestamp": "08/16/2022 23:15:04",
"content": "it's probably a piecewise function",
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"author_name": "Mohad",
"timestamp": "08/16/2022 23:15:16",
"content": "when you take a side limit, for example the side limit for 2 from the left",
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"author_name": "Eric Tao",
"timestamp": "08/16/2022 23:15:21",
"content": "(muppetman do you have a specific problem you can show that you're confused about)",
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"author_name": "Eric Tao",
"timestamp": "08/16/2022 23:15:24",
"content": "(it might help explain)",
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"author_name": "Mohad",
"timestamp": "08/16/2022 23:15:58",
"content": "you are approaching 2 with values less than two, so you find the limit of 2 in the function part that accepts < 2 as a condition",
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"author_name": "muppetman",
"timestamp": "08/16/2022 23:16:35",
"content": "can you show me a concrete example",
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"author_name": "muppetman",
"timestamp": "08/16/2022 23:16:50",
"content": "im not sure how to compute it",
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"id": 1009299808005132300,
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"author_name": "Mohad",
"timestamp": "08/16/2022 23:17:06",
"content": "are you asking in general about side limits or do you have a problem you're struggling with ?",
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"author_name": "muppetman",
"timestamp": "08/16/2022 23:19:05",
"content": "in general about side limits. Like if a test had a question saying \"compute the side limit of lim f(x)\", I wouldn't know how to do it",
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"author_name": "muppetman",
"timestamp": "08/16/2022 23:19:30",
"content": "so im wondering if you can give an example of a function where theres no limit, but there are side limits",
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"id": 1009300432130146400,
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"author_name": "muppetman",
"timestamp": "08/16/2022 23:19:34",
"content": "and show how to find them",
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"author_id": 180305129952509950,
"author_name": "Mohad",
"timestamp": "08/16/2022 23:19:50",
"content": "",
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"timestamp": "08/16/2022 23:19:53",
"content": "this is a piece wise function",
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"author_name": "Mohad",
"timestamp": "08/16/2022 23:19:58",
"content": "it's defined for all R",
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"timestamp": "08/16/2022 23:20:06",
"content": "f(2) is 3",
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"timestamp": "08/16/2022 23:20:18",
"content": "the limit of 2 from the left is 4",
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"id": 1009300639454609400,
"author_id": 180305129952509950,
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"timestamp": "08/16/2022 23:20:24",
"content": "the limit of 2 from the right is 3",
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"author_id": 180305129952509950,
"author_name": "Mohad",
"timestamp": "08/16/2022 23:20:43",
"content": "because the left limit and the right limit don't equal each other, the limit at 2 doesn't exist",
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"author_name": "Mohad",
"timestamp": "08/16/2022 23:20:50",
"content": "",
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"id": 1009300751891304400,
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"author_name": "Mohad",
"timestamp": "08/16/2022 23:20:51",
"content": "it looks like this",
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"id": 1009300899987980400,
"author_id": 180305129952509950,
"author_name": "Mohad",
"timestamp": "08/16/2022 23:21:26",
"content": "I found this because when appraoching from the left, the values of x will be less than 2, so it will satisfy the first condition ( x < 2)",
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{
"id": 1009301047468109800,
"author_id": 180305129952509950,
"author_name": "Mohad",
"timestamp": "08/16/2022 23:22:01",
"content": "when approaching from the right, the values of x will be larger than 2, satisfying the last condition , (x > 2)",
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"author_name": "muppetman",
"timestamp": "08/16/2022 23:22:25",
"content": "So all side limit functions are presented piecewise as above",
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{
"id": 1009301271481692300,
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"author_name": "muppetman",
"timestamp": "08/16/2022 23:22:55",
"content": "thats good, since i was worried i would have to use difficult techniques to find the side limit",
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},
{
"id": 1009301298367176800,
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"author_name": "muppetman",
"timestamp": "08/16/2022 23:23:01",
"content": "it appears its rather easy",
"attachments": [],
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},
{
"id": 1009301329358897300,
"author_id": 180305129952509950,
"author_name": "Mohad",
"timestamp": "08/16/2022 23:23:08",
"content": "I gave you an easy example",
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"id": 1009301412926193800,
"author_id": 180305129952509950,
"author_name": "Mohad",
"timestamp": "08/16/2022 23:23:28",
"content": "however, it's all the same core idea",
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"author_id": 623494823093207000,
"author_name": "muppetman",
"timestamp": "08/16/2022 23:24:11",
"content": "ok, what if its a non piecewise function",
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{
"id": 1009301877575393300,
"author_id": 180305129952509950,
"author_name": "Mohad",
"timestamp": "08/16/2022 23:25:19",
"content": "I can only think of an asymptote",
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},
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"id": 1009301888862273700,
"author_id": 180305129952509950,
"author_name": "Mohad",
"timestamp": "08/16/2022 23:25:22",
"content": "like 1/x",
"attachments": [],
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},
{
"id": 1009301923482046500,
"author_id": 180305129952509950,
"author_name": "Mohad",
"timestamp": "08/16/2022 23:25:30",
"content": "the limit from the right at 0 is infinity",
"attachments": [],
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},
{
"id": 1009301990121164800,
"author_id": 180305129952509950,
"author_name": "Mohad",
"timestamp": "08/16/2022 23:25:46",
"content": "the limit from the left at 0 is negative infinity",
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},
{
"id": 1009302017392521200,
"author_id": 623494823093207000,
"author_name": "muppetman",
"timestamp": "08/16/2022 23:25:52",
"content": "okay, thanks",
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"id": 1009302062602928100,
"author_id": 623494823093207000,
"author_name": "muppetman",
"timestamp": "08/16/2022 23:26:03",
"content": "i think that addresses my question",
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"id": 1009302069380907000,
"author_id": 623494823093207000,
"author_name": "muppetman",
"timestamp": "08/16/2022 23:26:05",
"content": ".close",
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},
{
"id": 1009302071322882200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/16/2022 23:26:05",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
0778f94ae73f4405abcd3cd1643de78e
|
197,886 |
[
{
"id": 1009302323597688800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/16/2022 23:27:05",
"content": "Available help channel!",
"attachments": [],
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},
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"id": 1009303868330475600,
"author_id": 225222109255827460,
"author_name": "JackDack",
"timestamp": "08/16/2022 23:33:14",
"content": "",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/16/2022 23:33:14",
"content": "Pinned a message.",
"attachments": [],
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"author_id": 225222109255827460,
"author_name": "JackDack",
"timestamp": "08/16/2022 23:33:18",
"content": "Where do I start on this question",
"attachments": [],
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},
{
"id": 1009305266237481000,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "08/16/2022 23:38:47",
"content": ".35 times 15 is liters of blue paint",
"attachments": [],
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},
{
"id": 1009305452431028200,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "08/16/2022 23:39:31",
"content": ".42 times amount of 45 paint + .12 times amount of 12 paint must equal that",
"attachments": [],
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},
{
"id": 1009305543950745600,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "08/16/2022 23:39:53",
"content": "Likewise amount of 12 paint + amount of 45 paint must = 15",
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},
{
"id": 1009305734615416800,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "08/16/2022 23:40:39",
"content": "Solve for amount of 45 and 12 paint",
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"author_name": "Mathematics Bot",
"timestamp": "08/16/2022 23:48:19",
"content": "@JackDack Has your question been resolved?",
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"id": 1009308893811318800,
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"author_name": "JackDack",
"timestamp": "08/16/2022 23:53:12",
"content": "Yea still confusing",
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},
{
"id": 1009310859442528300,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "08/17/2022 00:01:00",
"content": "35 percent of the 15 liters is blue",
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"id": 1009310941432791000,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "08/17/2022 00:01:20",
"content": "That’s liters of blue u wanna make",
"attachments": [],
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},
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"id": 1009311221889110000,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "08/17/2022 00:02:27",
"content": "So .42 times liters of paint with 42% concentration contributes to liters of blue paint from 42",
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},
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"id": 1009311288817623000,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "08/17/2022 00:02:43",
"content": "Same can be said with the 12%",
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},
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"id": 1009311478509215900,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "08/17/2022 00:03:28",
"content": "When u add those it must add up to .35 times 15",
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},
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"id": 1009311654183448600,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "08/17/2022 00:04:10",
"content": "And also your liters of 42 paint and 12 paint must add to 15",
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},
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"id": 1009316444812628000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 00:23:12",
"content": "@JackDack Has your question been resolved?",
"attachments": [],
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"timestamp": "08/17/2022 00:26:06",
"content": "Channel closed",
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}
] |
help-9
|
f03a3cd9aea04c579a1b30736b250a81
|
197,887 |
[
{
"id": 1009324578834751500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 00:55:31",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1009329349113159700,
"author_id": 115525406899175420,
"author_name": "Dynvar",
"timestamp": "08/17/2022 01:14:29",
"content": "I'm struggling to understand the implementation of Bayes' Theorem. (Disclaimer: This is for homework, but we have unlimited tries and unlimited time, and it will show me the answer after I submit)\n\nI have the following data:\n```Prior Probabilities: P(Good) = 0.2, P(Medium) = 0.5, P(Bad) = 0.3\nConditional Probabilities: P(Below | Good) = 0.1, P(Below | Medium) = 0.4, P(Below | Bad) = 0.9\n\nWhat is the probability of P(Good | Below)? (I don't need the answer so much as an explanation of where I might be going wrong)\nP(B) = 0.2 = P(Good)\nP(A|B) = 0.1 = P(Below | Good)\nP(AnB) = 0.02 = P(B)*P(A|B)\n```\nI've gotten it down to `P(B|A) = 0.02 / (0.02+0.8*P(A|Bc))`\nI'm not sure how to move forward with this. I can't figure out `P(A|Bc)` without `P(A)`, as far as I know. I've gone over my notes several times and I've been at this for about 2 hours now. I would really appreciate any help.",
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"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 01:14:29",
"content": "Pinned a message.",
"attachments": [],
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 01:29:29",
"content": "@Dynvar Has your question been resolved?",
"attachments": [],
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"timestamp": "08/17/2022 01:30:52",
"content": "@Helpers",
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"timestamp": "08/17/2022 02:00:52",
"content": "@Dynvar Has your question been resolved?",
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"author_name": "frownyfrog",
"timestamp": "08/17/2022 02:02:56",
"content": "@Dynvarwhat's the task?",
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"author_id": 115525406899175420,
"author_name": "Dynvar",
"timestamp": "08/17/2022 02:04:02",
"content": "I'm trying to find the value of `P(B|A)` using Bayes' Theorem and the data provided above. But in order to find `P(B|A)` I need `P(A|Bc)` or `P(A)`.",
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"author_name": "frownyfrog",
"timestamp": "08/17/2022 02:04:11",
"content": "but what's the task",
"attachments": [],
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{
"id": 1009341924311846900,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "08/17/2022 02:04:27",
"content": "it's boring when presented this way",
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},
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"id": 1009342048668766200,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "08/17/2022 02:04:57",
"content": "do you not get a verbal description?",
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"id": 1009342132538056700,
"author_id": 115525406899175420,
"author_name": "Dynvar",
"timestamp": "08/17/2022 02:05:17",
"content": "No, it's all online.",
"attachments": [],
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},
{
"id": 1009342197776269300,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "08/17/2022 02:05:32",
"content": "but it still has text usually",
"attachments": [],
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"author_id": 115525406899175420,
"author_name": "Dynvar",
"timestamp": "08/17/2022 02:07:02",
"content": "```An investor in Apple is worried the latest management earnings forecast is too aggressive and the company will fall short. His favorite analyst that covers Apple is going to release his report on Apple the week before the earnings announcement. Report stands for the analyst’s report, and Forecast stands for the earnings announcement.```",
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"author_name": "frownyfrog",
"timestamp": "08/17/2022 02:07:06",
"content": "thanks",
"attachments": [],
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},
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"author_id": 115525406899175420,
"author_name": "Dynvar",
"timestamp": "08/17/2022 02:07:13",
"content": "`What is the probability the analyst issued a good report given Apple’s earnings announcement was below the forecast?`",
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"author_name": "Dynvar",
"timestamp": "08/17/2022 02:07:21",
"content": "Yes",
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"author_name": "frownyfrog",
"timestamp": "08/17/2022 02:12:11",
"content": "",
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"author_name": "frownyfrog",
"timestamp": "08/17/2022 02:12:15",
"content": "that's the data",
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"author_name": "frownyfrog",
"timestamp": "08/17/2022 02:13:07",
"content": "you're looking for (0.2×0.1) divided by the sum of all three",
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"author_name": "frownyfrog",
"timestamp": "08/17/2022 02:13:34",
"content": "P(Good & Below) / P(Below)",
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"author_id": 115525406899175420,
"author_name": "Dynvar",
"timestamp": "08/17/2022 02:14:56",
"content": "The problem is I don't know P(Good|Below), only P(Below|Good) and P(Below)",
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"author_name": "frownyfrog",
"timestamp": "08/17/2022 02:15:47",
"content": "you mean Good & Below?",
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"id": 1009344838191292400,
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"author_name": "frownyfrog",
"timestamp": "08/17/2022 02:16:02",
"content": "i'm saying you know it, you just multiply them",
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"author_name": "frownyfrog",
"timestamp": "08/17/2022 02:16:28",
"content": "P(good & below) = p(below | good) × p(good)",
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"id": 1009345109353058400,
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"author_name": "Dynvar",
"timestamp": "08/17/2022 02:17:06",
"content": "I don't know P(Good)",
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"author_id": 115525406899175420,
"author_name": "Dynvar",
"timestamp": "08/17/2022 02:17:15",
"content": "Oh, wait, i do!",
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{
"id": 1009345254568251400,
"author_id": 115525406899175420,
"author_name": "Dynvar",
"timestamp": "08/17/2022 02:17:41",
"content": "What is the difference between P(Good|Below) and P(Good & Below) ?",
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"author_name": "Dynvar",
"timestamp": "08/17/2022 02:18:47",
"content": "(This is my first week with statistics in 20 years, so I am learning the notation still)",
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"author_name": "frownyfrog",
"timestamp": "08/17/2022 02:18:55",
"content": "P(Good|Below) is like you set P(below) to 100%, it's given",
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"author_name": "Dynvar",
"timestamp": "08/17/2022 02:19:30",
"content": "OH! So in this case, P(B|A) means P(A) is 100%?",
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"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "08/17/2022 02:19:51",
"content": "yeah, like you're not starting from scratch",
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"id": 1009346011824652400,
"author_id": 115525406899175420,
"author_name": "Dynvar",
"timestamp": "08/17/2022 02:20:41",
"content": "Thank you so much! I have been reading google search results for hours.",
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"id": 1009347165417640100,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "08/17/2022 02:25:16",
"content": "P(A & B) is probability of the event A&B, it's an event, just like B is an event, it corresponds to the starting conditions when nothing happened yet",
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},
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"id": 1009347342920581100,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "08/17/2022 02:25:59",
"content": "but P(A | B) means you know B happened, and that \"updates\" the probability of A happening\nP(A & B | B) = P(A | B)",
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"author_id": 115525406899175420,
"author_name": "Dynvar",
"timestamp": "08/17/2022 02:27:15",
"content": "Ooooooh",
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"author_id": 115525406899175420,
"author_name": "Dynvar",
"timestamp": "08/17/2022 02:27:18",
"content": "That makes a ton of sense.",
"attachments": [],
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},
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"id": 1009347692499054600,
"author_id": 115525406899175420,
"author_name": "Dynvar",
"timestamp": "08/17/2022 02:27:22",
"content": "Thank you. 🙂",
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},
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"id": 1009347738967736400,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "08/17/2022 02:27:33",
"content": "it all makes all kinds of sense",
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"author_name": "Dynvar",
"timestamp": "08/17/2022 02:47:56",
"content": ".close",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 02:47:56",
"content": "Channel closed",
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}
] |
help-9
|
1b3b3c40843f4fb88f027919f2c28019
|
197,888 |
[
{
"id": 1009353121115422800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 02:48:56",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1009353418571272300,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "08/17/2022 02:50:07",
"content": "Hi, why is this wrong?",
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"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 02:50:08",
"content": "Pinned a message.",
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{
"id": 1009354149672005800,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "08/17/2022 02:53:02",
"content": "The rule only works if the base is constant, which with `x^(1/x)` it is not.",
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"id": 1009354249743913000,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "08/17/2022 02:53:26",
"content": "As in, a can be anything but it must be to the power of x?",
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{
"id": 1009354891388526600,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "08/17/2022 02:55:59",
"content": "`x^(1/x)` is not a standard exponential form. Try using some formular to rewrite it as such",
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},
{
"id": 1009354892743299100,
"author_id": 833992497076240400,
"author_name": "divyansh",
"timestamp": "08/17/2022 02:55:59",
"content": "write x^(1/x) to e^(1/x lnx)",
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"id": 1009354913668665300,
"author_id": 833992497076240400,
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"timestamp": "08/17/2022 02:56:04",
"content": "to diff",
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"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 03:08:26",
"content": "@rice Has your question been resolved?",
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"id": 1009359574471561200,
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"author_name": "rice",
"timestamp": "08/17/2022 03:14:35",
"content": "thanks a bunch",
"attachments": [],
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 03:14:36",
"content": "Channel closed",
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}
] |
help-9
|
1871b57e97d84592b24911eed01efee7
|
197,889 |
[
{
"id": 1009359834031865900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 03:15:37",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1009360860252225500,
"author_id": 884655904660799500,
"author_name": "Cobain",
"timestamp": "08/17/2022 03:19:42",
"content": "if i had a deck of cards and pulled out a random card, how would i calculate the probability of the next one i pull out?",
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"timestamp": "08/17/2022 03:19:42",
"content": "Pinned a message.",
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},
{
"id": 1009361061297787000,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/17/2022 03:20:30",
"content": "pretty vague question but you might be looking for the hypergeometric distribution",
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},
{
"id": 1009361104620761300,
"author_id": 884655904660799500,
"author_name": "Cobain",
"timestamp": "08/17/2022 03:20:40",
"content": "thanks",
"attachments": [],
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},
{
"id": 1009361269960224800,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/17/2022 03:21:19",
"content": "but that might be more complicated than needed, depending on what the question is exactly",
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},
{
"id": 1009361449128312800,
"author_id": 884655904660799500,
"author_name": "Cobain",
"timestamp": "08/17/2022 03:22:02",
"content": "like if i pulled out another card at random, what would be the probability of it being a certain card type?",
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"id": 1009361556007555100,
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/17/2022 03:22:27",
"content": "more specifically?",
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"id": 1009361649918029800,
"author_id": 884655904660799500,
"author_name": "Cobain",
"timestamp": "08/17/2022 03:22:50",
"content": "lets just say a heart of ace",
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},
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"id": 1009361785872187400,
"author_id": 884655904660799500,
"author_name": "Cobain",
"timestamp": "08/17/2022 03:23:22",
"content": "wait no just any ace",
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},
{
"id": 1009361798857773000,
"author_id": 884655904660799500,
"author_name": "Cobain",
"timestamp": "08/17/2022 03:23:25",
"content": "sorry",
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},
{
"id": 1009361949227745300,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/17/2022 03:24:01",
"content": "probability of either being an ace, or just the second one?",
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},
{
"id": 1009362086880608400,
"author_id": 884655904660799500,
"author_name": "Cobain",
"timestamp": "08/17/2022 03:24:34",
"content": "if i already pulled out a random card. what's the probably of the next one i pull out being an ace",
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},
{
"id": 1009362155784650800,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/17/2022 03:24:50",
"content": "1/13",
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},
{
"id": 1009362244590645200,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/17/2022 03:25:12",
"content": "(if you don't know anything about the first card)",
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},
{
"id": 1009362471565414400,
"author_id": 884655904660799500,
"author_name": "Cobain",
"timestamp": "08/17/2022 03:26:06",
"content": "would it possibly change because there is a slight chance i pulled out an ace the other time?",
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},
{
"id": 1009362572480352300,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/17/2022 03:26:30",
"content": "if you don't know what the first card was, it's 1/13",
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},
{
"id": 1009362705280421900,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/17/2022 03:27:01",
"content": "if you know what the first card was, then the probability of getting an ace on the second draw is\n4/51 if the first card was not an ace\n3/51 if the first card was an ace",
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"id": 1009362945622421600,
"author_id": 884655904660799500,
"author_name": "Cobain",
"timestamp": "08/17/2022 03:27:59",
"content": "i'll have a look at binomial distribution and hypergeometric distrobution",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/17/2022 03:28:27",
"content": "binomial distribution is probably not what you want for questions like these",
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"id": 1009363158302986200,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/17/2022 03:28:50",
"content": "and hypergeometric distribution is overkill unless you have more complicated questions",
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"mentions": [],
"reference": null
},
{
"id": 1009363311407665200,
"author_id": 884655904660799500,
"author_name": "Cobain",
"timestamp": "08/17/2022 03:29:26",
"content": "ok well i'll still check out hypergeometric distribution",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1009363324191908000,
"author_id": 884655904660799500,
"author_name": "Cobain",
"timestamp": "08/17/2022 03:29:29",
"content": "thanks!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1009363358849433600,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/17/2022 03:29:37",
"content": "np",
"attachments": [],
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},
{
"id": 1009363369528139800,
"author_id": 884655904660799500,
"author_name": "Cobain",
"timestamp": "08/17/2022 03:29:40",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1009363371155542000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 03:29:40",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
bfe6061eefe8481faecae61a35f21b6d
|
197,890 |
[
{
"id": 1009363623862349800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 03:30:40",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1009364163409215500,
"author_id": 899691752531828900,
"author_name": "Doctor beak",
"timestamp": "08/17/2022 03:32:49",
"content": "Given the two equations (2x - 5)/3 + 4 = (3x)/4 - 1 and (x - 5)/7 + 1 = x/ ? -2\nWhat should be written instead of ? So that the solve for x will be equal in both equations",
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},
{
"id": 1009364165082759300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 03:32:50",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
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{
"id": 1009364285736112100,
"author_id": 899691752531828900,
"author_name": "Doctor beak",
"timestamp": "08/17/2022 03:33:18",
"content": "I was wondering if there is any way to solve the question without solving the first equation",
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},
{
"id": 1009367433401880700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/17/2022 03:45:49",
"content": "No",
"attachments": [],
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},
{
"id": 1009368692536135700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 03:50:49",
"content": "@Doctor beak Has your question been resolved?",
"attachments": [],
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{
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"id": 1009368703927865300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 03:50:52",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
5f626515288e4d139cf3f0f93ebd0182
|
197,891 |
[
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"id": 1009387463996870700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 05:05:24",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1009388617120100500,
"author_id": 316039805693591550,
"author_name": "ewong",
"timestamp": "08/17/2022 05:09:59",
"content": "Is it possible to make a parabola have a cycloid path in GeoGebra?",
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"mentions": [],
"reference": null
},
{
"id": 1009388619447939100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 05:10:00",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1009388617120100500,
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{
"id": 1009388757495070800,
"author_id": 316039805693591550,
"author_name": "ewong",
"timestamp": "08/17/2022 05:10:33",
"content": "Making this",
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"id": 1009389043081027600,
"author_id": 316039805693591550,
"author_name": "ewong",
"timestamp": "08/17/2022 05:11:41",
"content": "Do this",
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{
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"timestamp": "08/17/2022 05:26:41",
"content": "@ewong Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 05:56:57",
"content": "@ewong Has your question been resolved?",
"attachments": [],
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"timestamp": "08/17/2022 06:57:40",
"content": "@ewong Has your question been resolved?",
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"timestamp": "08/17/2022 08:57:58",
"content": "@ewong Has your question been resolved?",
"attachments": [],
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"id": 316039805693591550,
"name": "ewong",
"discriminator": "1000",
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"author_name": "ewong",
"timestamp": "08/17/2022 08:58:07",
"content": ".close",
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},
{
"id": 1009446027981488100,
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"timestamp": "08/17/2022 08:58:07",
"content": "Channel closed",
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}
] |
help-9
|
2e4126e855184b7da4f6ffac2edf7939
|
197,892 |
[
{
"id": 1009446281573314700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 08:59:08",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1009450334000795600,
"author_id": 259473397363376130,
"author_name": "finn",
"timestamp": "08/17/2022 09:15:14",
"content": "why is the sum from `0` to `n` of `2^{i}` = `2^{n+1} - 1`",
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},
{
"id": 1009450336328618000,
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"timestamp": "08/17/2022 09:15:14",
"content": "Pinned a message.",
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}
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"timestamp": "08/17/2022 09:16:51",
"content": "",
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{
"id": 1009451282165149700,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "08/17/2022 09:19:00",
"content": "There is a pretty clever (and short) proof relating to geometric series, see https://math.stackexchange.com/a/1990141",
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},
{
"id": 1009451376612483100,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "08/17/2022 09:19:22",
"content": "works for any sum of powers",
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},
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"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "08/17/2022 09:27:06",
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"timestamp": "08/17/2022 09:32:07",
"content": "@finn Has your question been resolved?",
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"timestamp": "08/17/2022 09:43:10",
"content": "Channel closed",
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}
] |
help-9
|
588f198cdcbe4615bc876064de267097
|
197,893 |
[
{
"id": 959873021873639600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 13:52:41",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 959873201410830500,
"author_id": 305362010374406140,
"author_name": "Zone of proximal development",
"timestamp": "04/02/2022 13:53:24",
"content": "Does anyone have a great resource to help me become better at `proofs by induction` in `discrete math`? I need to understand it in order to be able to do `recursion` and `tail recursion` functions in `functional programming`.",
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{
"id": 959873204099367000,
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"timestamp": "04/02/2022 13:53:25",
"content": "Pinned a message.",
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"timestamp": "04/02/2022 14:09:54",
"content": "@Zone of proximal development Has your question been resolved?",
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"name": "Zone of proximal development",
"discriminator": "2188",
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"timestamp": "04/02/2022 14:24:54",
"content": "Channel closed",
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}
] |
help-9
|
a64faed20734403d89b2c1f596a44caf
|
197,894 |
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{
"id": 1009473384528220300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 10:46:49",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1009475501171159200,
"author_id": 633692660678262800,
"author_name": "G4L4XY",
"timestamp": "08/17/2022 10:55:14",
"content": "Hello, I am studying for a test. I have a question on finding quartile 1 and quartile 3. Should include the median to find them?",
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},
{
"id": 1009475503612231800,
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"timestamp": "08/17/2022 10:55:15",
"content": "Pinned a message.",
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},
{
"id": 1009477301488074800,
"author_id": 633692660678262800,
"author_name": "G4L4XY",
"timestamp": "08/17/2022 11:02:23",
"content": "An example would be 4,8,9,10,16,18,22.",
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},
{
"id": 1009479559797813400,
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"timestamp": "08/17/2022 11:11:22",
"content": "@Helpers",
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},
{
"id": 1009481098054602800,
"author_id": 633692660678262800,
"author_name": "G4L4XY",
"timestamp": "08/17/2022 11:17:29",
"content": ".close",
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},
{
"id": 1009481099958812800,
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"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 11:17:29",
"content": "Channel closed",
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}
] |
help-9
|
b6d6e0f0030649a6919d05e5d2f24756
|
197,895 |
[
{
"id": 1009481353101836400,
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"timestamp": "08/17/2022 11:18:29",
"content": "Available help channel!",
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},
{
"id": 1009483846045143000,
"author_id": 102386573361844220,
"author_name": "Hexal",
"timestamp": "08/17/2022 11:28:24",
"content": "Hello could I get a helper to verify if the answer to this question attached below is 2.23 km?",
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"timestamp": "08/17/2022 11:28:24",
"content": "Pinned a message.",
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{
"id": 1009484268642255000,
"author_id": 102386573361844220,
"author_name": "Hexal",
"timestamp": "08/17/2022 11:30:04",
"content": "This is from a book and I believe the authors solution could be wrong, so just need someone else to double check. If they do get the result in the solutions do they mind walking me through the solution?",
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},
{
"id": 1009485244577108100,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "08/17/2022 11:33:57",
"content": "What is bearing ?",
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},
{
"id": 1009485328769356000,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "08/17/2022 11:34:17",
"content": "Of a balloon",
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},
{
"id": 1009485510567264300,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "08/17/2022 11:35:01",
"content": "Like how left or right it is?",
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},
{
"id": 1009485539684131000,
"author_id": 393206199979606000,
"author_name": "epiphonically",
"timestamp": "08/17/2022 11:35:07",
"content": "From the person",
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},
{
"id": 1009487825865019400,
"author_id": 102386573361844220,
"author_name": "Hexal",
"timestamp": "08/17/2022 11:44:13",
"content": "The bearing is assumed to be taken from the north",
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},
{
"id": 1009491603284578300,
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"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 11:59:13",
"content": "@Hexal Has your question been resolved?",
"attachments": [],
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"id": 102386573361844220,
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"timestamp": "08/17/2022 12:12:41",
"content": "@Helpers",
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},
{
"id": 1009502543660994600,
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"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 12:42:42",
"content": "@Hexal Has your question been resolved?",
"attachments": [],
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"id": 102386573361844220,
"name": "Hexal",
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"timestamp": "08/17/2022 14:03:56",
"content": "@Hexal Has your question been resolved?",
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"timestamp": "08/17/2022 15:03:57",
"content": "Channel closed",
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}
] |
help-9
|
d789bc7fd709486fb5c31747fc0cfcaa
|
197,896 |
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"content": "Available help channel!",
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},
{
"id": 1009539810752483300,
"author_id": 745293832840806400,
"author_name": "u_49443494",
"timestamp": "08/17/2022 15:10:47",
"content": "I'm attempting on making zero order hold for mathematical functions using floor() for discrete values",
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"timestamp": "08/17/2022 15:11:53",
"content": "I managed to get a workaround for x^2 function",
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},
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"content": "but this only works for x^2, intervals of 1",
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"content": "how to generalise formula?",
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"content": "@u_49443494 Has your question been resolved?",
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"content": "@Helpers",
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"content": "@u_49443494 Has your question been resolved?",
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"content": "this might be a bit elaborate, but this is a way of changing size of interval, though I have no clue how to get from this to zoh() the same way it gets from h(x) to i(x)",
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help-9
|
66624950deec413db9a0f029afbe55a9
|
197,897 |
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"content": "so if the acceleration is a constant -2",
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"content": "i know that the velocity function is -2t + C",
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"content": "but i don't know what C is",
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"content": "and i don't know how the average could give me that",
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"content": "Isn’t just vf = 0 + 2(2)?",
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"content": "?",
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"timestamp": "08/17/2022 21:07:42",
"content": "srry im a bit confused",
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"content": "using the kinematic equation vf = vi + a(t)",
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"content": "where v is velocity and a is acceleration",
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"timestamp": "08/17/2022 21:08:59",
"content": "what does vf stand for",
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"timestamp": "08/17/2022 21:09:02",
"content": "and what does vi stand for",
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"timestamp": "08/17/2022 21:09:07",
"content": "final velocity",
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"author_name": "Coollikeacucumber",
"timestamp": "08/17/2022 21:09:12",
"content": "and inital velocity",
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"id": 1009630028750926000,
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"author_name": "Coollikeacucumber",
"timestamp": "08/17/2022 21:09:16",
"content": "t is time",
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"timestamp": "08/17/2022 21:11:30",
"content": "p sure its -4m/s",
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"timestamp": "08/17/2022 21:11:55",
"content": "i didn't learn that",
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"timestamp": "08/17/2022 21:13:26",
"content": "theen why were you given a physics problem",
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"content": "it's not rlly physics",
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"timestamp": "08/17/2022 21:13:44",
"content": "it's just like learning the relationship between position, velocity, and acceleration",
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"timestamp": "08/17/2022 21:13:52",
"content": "thats physics lol",
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"timestamp": "08/17/2022 21:13:55",
"content": "ik",
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"author_name": "lriwtnoclaF",
"timestamp": "08/17/2022 21:14:02",
"content": "but the chapter didn't rlly say anything ab the other stuff",
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"content": "what course is this for?",
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"content": "ap physics summer hw",
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"author_name": "Coollikeacucumber",
"timestamp": "08/17/2022 21:16:09",
"content": "yea then pretty sure i am right. idk why they gave average velocity when it wasn’t needed.",
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"timestamp": "08/17/2022 21:16:25",
"content": "k thx",
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"author_id": 397115852568264700,
"author_name": "lriwtnoclaF",
"timestamp": "08/17/2022 21:16:34",
"content": "appreciate the help",
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"author_name": "lriwtnoclaF",
"timestamp": "08/17/2022 21:16:38",
"content": "i think i figured it out",
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"timestamp": "08/17/2022 21:16:39",
"content": "if your in ap physics, that equation i gave is on the equation sheet for the exam btw",
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"content": "@lriwtnoclaF Has your question been resolved?",
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help-9
|
1b712490915745b1bcdb967d56ae7902
|
197,898 |
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help-9
|
cab8756dd8d543559c9b002c1ea22be8
|
197,899 |
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"content": "how do i do this?",
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"timestamp": "08/17/2022 22:29:41",
"content": "confused b/c point isnt given or equation",
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"content": "ik the slope is 4 tho",
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"content": "@Blyvs Has your question been resolved?",
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"timestamp": "08/17/2022 22:44:51",
"content": "@Helpers",
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"author_name": "ramonov",
"timestamp": "08/17/2022 22:52:34",
"content": "the point is that black dot on the graph",
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"content": "you don't need the equation of the whole function",
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"timestamp": "08/17/2022 22:53:06",
"content": "right but i dont know what values the point is, is what i meant",
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"content": "dunno what you mean",
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"timestamp": "08/17/2022 22:53:47",
"content": "-3.5,4",
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"content": "()",
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"content": "(-3.5,4)",
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"timestamp": "08/17/2022 22:54:25",
"content": "so what's the issue",
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"timestamp": "08/17/2022 22:54:42",
"content": "i guess i was looking at it to closely lol",
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"author_id": 761002932870185000,
"author_name": "Blyvs",
"timestamp": "08/17/2022 22:54:56",
"content": "the point looks a bit above 4 so i was confused",
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"author_name": "Blyvs",
"timestamp": "08/17/2022 22:57:50",
"content": "im just confused on how to start solving it",
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"author_name": "riemann",
"timestamp": "08/17/2022 22:59:20",
"content": "How do you know this?",
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"author_name": "Blyvs",
"timestamp": "08/17/2022 23:00:26",
"content": "my b its 5.66666",
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"id": 1009658028162826200,
"author_id": 761002932870185000,
"author_name": "Blyvs",
"timestamp": "08/17/2022 23:00:32",
"content": "8.5/1.5",
"attachments": [],
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"id": 1009658214549295200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/17/2022 23:01:16",
"content": "That doesn't answer my question",
"attachments": [],
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"id": 1009658340051275800,
"author_id": 761002932870185000,
"author_name": "Blyvs",
"timestamp": "08/17/2022 23:01:46",
"content": "whats the question?",
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},
{
"id": 1009658474684235800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/17/2022 23:02:18",
"content": ".",
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},
{
"id": 1009658501947195400,
"author_id": 761002932870185000,
"author_name": "Blyvs",
"timestamp": "08/17/2022 23:02:25",
"content": "isnt that wrong",
"attachments": [],
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},
{
"id": 1009658656356311000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/17/2022 23:03:02",
"content": "How can you determine any numeric value for slope at the point",
"attachments": [],
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"author_name": "Blyvs",
"timestamp": "08/17/2022 23:03:23",
"content": "oh wait nvm i know this bc -4.5 goes to the right one and up 4 to get to the point",
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},
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"id": 1009659004689064100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/17/2022 23:04:25",
"content": "I don't know how you're getting any numbers besides the coordinates you and Ramonov already pointed out",
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},
{
"id": 1009659150671827100,
"author_id": 761002932870185000,
"author_name": "Blyvs",
"timestamp": "08/17/2022 23:05:00",
"content": "ok",
"attachments": [],
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},
{
"id": 1009659248105492600,
"author_id": 761002932870185000,
"author_name": "Blyvs",
"timestamp": "08/17/2022 23:05:23",
"content": "u know any good youtube videos on how to solve given a point i cant seem to find any",
"attachments": [],
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},
{
"id": 1009659322625691600,
"author_id": 761002932870185000,
"author_name": "Blyvs",
"timestamp": "08/17/2022 23:05:41",
"content": "all the ones i find already have the equation",
"attachments": [],
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},
{
"id": 1009659447657894000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/17/2022 23:06:10",
"content": "It's a very open ended question yea.",
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},
{
"id": 1009659540293296100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/17/2022 23:06:32",
"content": "Just qualitatively answer",
"attachments": [],
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},
{
"id": 1009659565404594200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/17/2022 23:06:38",
"content": "Hand wave it",
"attachments": [],
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},
{
"id": 1009660705861009400,
"author_id": 761002932870185000,
"author_name": "Blyvs",
"timestamp": "08/17/2022 23:11:10",
"content": "would 1 work?",
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"id": 1009660730800357500,
"author_id": 761002932870185000,
"author_name": "Blyvs",
"timestamp": "08/17/2022 23:11:16",
"content": "as f'(x)",
"attachments": [],
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},
{
"id": 1009660854398103700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/17/2022 23:11:46",
"content": ".",
"attachments": [],
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},
{
"id": 1009660968135041000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/17/2022 23:12:13",
"content": "Giving concrete numbers like slope=1 automatically make your answer wrong",
"attachments": [],
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},
{
"id": 1009661067036725200,
"author_id": 761002932870185000,
"author_name": "Blyvs",
"timestamp": "08/17/2022 23:12:36",
"content": "i see",
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},
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"author_id": 761002932870185000,
"author_name": "Blyvs",
"timestamp": "08/17/2022 23:12:48",
"content": "im just confused on how to qualitatively answer it ig",
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},
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"id": 1009668667904106500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/17/2022 23:42:49",
"content": "@Blyvs Has your question been resolved?",
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},
{
"id": 1009676218746015900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 00:12:49",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
5a5c317f97b549ac8bbd51c202da071e
|
197,900 |
[
{
"id": 1009740644765413400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 04:28:49",
"content": "Available help channel!",
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},
{
"id": 1009741280110198900,
"author_id": 576089376627621900,
"author_name": "lmaowhat",
"timestamp": "08/18/2022 04:31:21",
"content": "Hello, I have two quadratic equations and I want to eliminate z\n$$az^2 + z + 1 = 0$$ \nand\n$$\\bar{a}z^2 - z + 1 = 0$$",
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"content": "Pinned a message.",
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"timestamp": "08/18/2022 04:31:41",
"content": "How do I do this?",
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},
{
"id": 1009741421282074600,
"author_id": 576089376627621900,
"author_name": "lmaowhat",
"timestamp": "08/18/2022 04:31:54",
"content": "@Helpers 🙂",
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},
{
"id": 1009741663771574400,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "08/18/2022 04:32:52",
"content": "!15m",
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},
{
"id": 1009741664597856300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 04:32:52",
"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": 1009741718750502900,
"author_id": 576089376627621900,
"author_name": "lmaowhat",
"timestamp": "08/18/2022 04:33:05",
"content": "Sorry",
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},
{
"id": 1009741883079143400,
"author_id": 576089376627621900,
"author_name": "lmaowhat",
"timestamp": "08/18/2022 04:33:45",
"content": "I thought embeds didn't mention",
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{
"id": 1009741979929821200,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "08/18/2022 04:34:08",
"content": "dunno",
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},
{
"id": 1009742045713289200,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "08/18/2022 04:34:23",
"content": "wdym by eliminating z?",
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},
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"author_name": "lmaowhat",
"timestamp": "08/18/2022 04:34:47",
"content": "Forming an equation without z",
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"author_name": "Sabertoothed Rat",
"timestamp": "08/18/2022 04:34:51",
"content": "hmm",
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},
{
"id": 1009742195588337700,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "08/18/2022 04:34:59",
"content": "take x^2=y",
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},
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"id": 1009742244833677300,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "08/18/2022 04:35:11",
"content": "no sorry",
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},
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"id": 1009742299045040300,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "08/18/2022 04:35:24",
"content": "z^2=y",
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},
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"id": 1009742329256620200,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "08/18/2022 04:35:31",
"content": "and solve the simultaneous equation",
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},
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"id": 1009742404624072800,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "08/18/2022 04:35:49",
"content": "find z in terms of a",
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},
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"id": 1009742412580655200,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "08/18/2022 04:35:51",
"content": "and sub",
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},
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"id": 1009742442255360000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/18/2022 04:35:58",
"content": "**lmaowhat**",
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"author_name": "Sabertoothed Rat",
"timestamp": "08/18/2022 04:36:05",
"content": "huh",
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},
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"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "08/18/2022 04:36:37",
"content": "add the equations",
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"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "08/18/2022 04:36:41",
"content": "solve for z^2",
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},
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"id": 1009742636996894700,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "08/18/2022 04:36:44",
"content": "and hence z",
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},
{
"id": 1009742687018160100,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "08/18/2022 04:36:56",
"content": "and then put z in any one of the equations",
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},
{
"id": 1009742708027441300,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "08/18/2022 04:37:01",
"content": "that shall do it",
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},
{
"id": 1009745863641403400,
"author_id": 576089376627621900,
"author_name": "lmaowhat",
"timestamp": "08/18/2022 04:49:34",
"content": "$(a-\\bar{a})^2 + 2(a+\\bar{a})=0$",
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},
{
"id": 1009745930913857500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/18/2022 04:49:50",
"content": "**lmaowhat**",
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"author_id": 576089376627621900,
"author_name": "lmaowhat",
"timestamp": "08/18/2022 04:49:56",
"content": "🙂",
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},
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"id": 1009745976304615400,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "08/18/2022 04:50:00",
"content": "🙂",
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},
{
"id": 1009746062145233000,
"author_id": 576089376627621900,
"author_name": "lmaowhat",
"timestamp": "08/18/2022 04:50:21",
"content": "Thank you !",
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},
{
"id": 1009746079622905900,
"author_id": 576089376627621900,
"author_name": "lmaowhat",
"timestamp": "08/18/2022 04:50:25",
"content": ".close",
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},
{
"id": 1009746081183182800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 04:50:25",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
774c14a54d2749f3bd93dbf05579f0d1
|
197,901 |
[
{
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"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "08/18/2022 04:50:26",
"content": "no worries",
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},
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"id": 1009753635099521000,
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"timestamp": "08/18/2022 05:20:26",
"content": "Available help channel!",
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},
{
"id": 1009758084731772900,
"author_id": 689178453798682900,
"author_name": "Mohmoka",
"timestamp": "08/18/2022 05:38:07",
"content": "Would someone please help me to solve this question?",
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},
{
"id": 1009758086988304400,
"author_id": 805217272087838700,
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"timestamp": "08/18/2022 05:38:08",
"content": "Pinned a message.",
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{
"id": 1009758394896359600,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/18/2022 05:39:21",
"content": "pick a few random numbers k_i and draw f(x,y)=k_i",
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},
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"id": 1009758880747757700,
"author_id": 689178453798682900,
"author_name": "Mohmoka",
"timestamp": "08/18/2022 05:41:17",
"content": "Yes, but how to pick those numbers?",
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},
{
"id": 1009759450778832900,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/18/2022 05:43:33",
"content": "arbitrarily",
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},
{
"id": 1009759555506417700,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/18/2022 05:43:58",
"content": "there're a few ~~obvious~~ choices, like 0, 1, 4",
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},
{
"id": 1009759659613245400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/18/2022 05:44:23",
"content": "Obvious because you know what it is",
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},
{
"id": 1009759682749005800,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/18/2022 05:44:28",
"content": "ah true lol",
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},
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"id": 1009759737547587600,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/18/2022 05:44:41",
"content": "Otherwise 4 being next is weird",
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},
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"id": 1009759804107014300,
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"timestamp": "08/18/2022 05:44:57",
"content": "yeah",
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"timestamp": "08/18/2022 05:45:18",
"content": "firstly, what does x^2+y^2=k look like if k>0?",
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"content": "It will never be negative.",
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"timestamp": "08/18/2022 05:48:59",
"content": "So, the values could be 0,2, 5, 10 etc...",
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"timestamp": "08/18/2022 05:49:29",
"content": "i think Toby is asking if you recognise the equation as something",
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"timestamp": "08/18/2022 05:49:45",
"content": "Yes, circle 😀",
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"timestamp": "08/18/2022 05:50:09",
"content": "yup",
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"author_name": "Toby",
"timestamp": "08/18/2022 05:50:18",
"content": "so draw a bunch of circles",
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"author_name": "themateo713",
"timestamp": "08/18/2022 05:50:27",
"content": "So the level curves are circles centered around the origin",
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"author_name": "Toby",
"timestamp": "08/18/2022 05:50:39",
"content": "sure, though some would be easier to draw than others",
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"author_name": "Deleted User",
"timestamp": "08/18/2022 05:51:51",
"content": "i've been looking up the definition of level curves and i don't really get it",
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"timestamp": "08/18/2022 05:52:28",
"content": "I also don't understand it.",
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"author_name": "Deleted User",
"timestamp": "08/18/2022 05:53:05",
"content": "i can imagine some surface plot in which i take slices at various heights",
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"timestamp": "08/18/2022 05:53:27",
"content": "and is a level curve of that surface plot the intersection between those slices and the plot itself?",
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"timestamp": "08/18/2022 05:53:47",
"content": "going from like 3d to 2d sort of thing?",
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"author_name": "Mohmoka",
"timestamp": "08/18/2022 05:54:21",
"content": "https://www.reddit.com/r/math/comments/7zc9sj/level_curvessurfaces/",
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"author_name": "Mohmoka",
"timestamp": "08/18/2022 05:54:39",
"content": "If you understand this then please explain it to me 🙂",
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"author_name": "Mohmoka",
"timestamp": "08/18/2022 05:55:00",
"content": "@Toby Please help us 😀",
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"timestamp": "08/18/2022 05:55:35",
"content": "yup, thats basically how I think about it too",
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"author_name": "Toby",
"timestamp": "08/18/2022 05:55:54",
"content": "have you ever seen hiking maps before?",
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"author_name": "Toby",
"timestamp": "08/18/2022 05:56:02",
"content": "it shows you the height of a mountain with curves",
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"timestamp": "08/18/2022 05:56:27",
"content": "its basically that - a 2d representation of a 3d thing based on its height (or 'level')",
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"author_name": "Mohmoka",
"timestamp": "08/18/2022 05:56:48",
"content": "I see.",
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"id": 1009762979337740300,
"author_id": 689178453798682900,
"author_name": "Mohmoka",
"timestamp": "08/18/2022 05:57:34",
"content": "What the third dimension will be here?",
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"author_name": "Mohmoka",
"timestamp": "08/18/2022 05:58:14",
"content": "As we are trying to represent 3d into 2d form,",
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"author_name": "Toby",
"timestamp": "08/18/2022 05:59:01",
"content": "you can think of it like f(x,y)=z",
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"timestamp": "08/18/2022 05:59:08",
"content": "just like in 2d, f(x)=y",
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"timestamp": "08/18/2022 05:59:21",
"content": "yeah",
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"author_name": "Toby",
"timestamp": "08/18/2022 05:59:53",
"content": "look at example 3 here https://tutorial.math.lamar.edu/classes/calciii/multivrblefcns.aspx. It's the same as your question, but shows a nice picture of what it looks like in 3d vs its level curve",
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"author_name": "Mohmoka",
"timestamp": "08/18/2022 06:00:14",
"content": "Let me check out. Thank you.",
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"author_name": "Mohmoka",
"timestamp": "08/18/2022 06:05:10",
"content": "You are awesome @Toby . Thank you for your help 🙂",
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"timestamp": "08/18/2022 06:05:16",
"content": "yw :)",
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"timestamp": "08/18/2022 06:05:37",
"content": ".close",
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},
{
"id": 1009765006340001800,
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"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 06:05:38",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
89b64bccd7b6418bb9f04e56c737f7ff
|
197,902 |
[
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"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 06:06:38",
"content": "Available help channel!",
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},
{
"id": 1009771399457550300,
"author_id": 574681843958415400,
"author_name": "Stagger",
"timestamp": "08/18/2022 06:31:02",
"content": "No idea what to do here",
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"timestamp": "08/18/2022 06:31:02",
"content": "Pinned a message.",
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"id": 1009772078116901000,
"author_id": 574681843958415400,
"author_name": "Stagger",
"timestamp": "08/18/2022 06:33:44",
"content": "I’d just say a_mirror = [-1; -1 ;-1] LOL",
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"timestamp": "08/18/2022 06:48:44",
"content": "@Stagger Has your question been resolved?",
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"id": 1009779252645867500,
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"timestamp": "08/18/2022 07:02:14",
"content": "No",
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"id": 1009779320878813200,
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"author_name": "Stagger",
"timestamp": "08/18/2022 07:02:30",
"content": "@Helpers",
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"id": 1009779475896090600,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "08/18/2022 07:03:07",
"content": "I mean you can pretty much just draw this one and figure it out",
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"timestamp": "08/18/2022 07:32:31",
"content": "@Stagger Has your question been resolved?",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/18/2022 07:53:01",
"content": "Let x_1 coordinate be -x_1",
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"timestamp": "08/18/2022 08:02:31",
"content": "Channel closed",
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}
] |
help-9
|
b75f07561e364b28b7f675f227d6ba79
|
197,903 |
[
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"id": 1009819641989845000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 09:42:44",
"content": "Available help channel!",
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},
{
"id": 1009819857451225200,
"author_id": 601037926939230200,
"author_name": "qvercvs",
"timestamp": "08/18/2022 09:43:35",
"content": "Hi, one question about topology. I'm starting to study it and I want to know if I got something right",
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"content": "Pinned a message.",
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"id": 1009820521950609500,
"author_id": 601037926939230200,
"author_name": "qvercvs",
"timestamp": "08/18/2022 09:46:13",
"content": "Under a topology we define openness wrt to the collection we defined, right? This means that the openness we usually study in analysis in calculus is the consequence of the topology implicitly used, and open sets under other topologies might not be open under the Standard topology. Is this right? For example under the lower limit topology usually half open intervals are open sets?",
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},
{
"id": 1009820757263667200,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/18/2022 09:47:10",
"content": "yes",
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{
"id": 1009820958250504200,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/18/2022 09:47:58",
"content": "as an extreme example, (0,1) is not open in R with the indiscrete topology",
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"id": 1009821174718542000,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/18/2022 09:48:49",
"content": "and yes to those examples you added",
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"id": 1009821308411990100,
"author_id": 601037926939230200,
"author_name": "qvercvs",
"timestamp": "08/18/2022 09:49:21",
"content": "Ok, thanks a lot :)",
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"id": 1009821334521532500,
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"author_name": "iCaird",
"timestamp": "08/18/2022 09:49:27",
"content": "this is a good thing to realise, that openness depends on your choice of topology:)",
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"id": 1009821470341468300,
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/18/2022 09:50:00",
"content": "a use for the lower limit topology in an analysis context is that it can capture left continuity",
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"author_name": "qvercvs",
"timestamp": "08/18/2022 09:51:16",
"content": "Thanks a lot. The difficult part about studying alone is not having someone to share the questions/hype with :)",
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"timestamp": "08/18/2022 09:51:33",
"content": ".close",
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},
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"id": 1009821864744468500,
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"timestamp": "08/18/2022 09:51:34",
"content": "Channel closed",
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}
] |
help-9
|
fc3e8a9e97f44554b770be6890d15616
|
197,904 |
[
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"timestamp": "04/02/2022 14:59:16",
"content": "Available help channel!",
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},
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"id": 959892201754742900,
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/02/2022 15:11:06",
"content": "Is that 1.8 and 24.6",
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/02/2022 15:11:25",
"content": "And no one here is going to do your work for you",
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"id": 959892954779111400,
"author_id": 485903210272391200,
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"timestamp": "04/02/2022 15:11:54",
"content": "Use either elimination or substitution method",
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"timestamp": "04/02/2022 15:12:30",
"content": "@Moderators",
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"author_name": "RokettoJanpu",
"timestamp": "04/02/2022 15:12:52",
"content": ".close",
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"content": "Channel closed",
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] |
help-9
|
79b561db755f436281a9773a2d637071
|
197,905 |
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{
"id": 1009887475294023800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 14:12:16",
"content": "Available help channel!",
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"id": 1009887527336947800,
"author_id": 805217272087838700,
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"timestamp": "08/18/2022 14:12:29",
"content": "Pinned a message.",
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"author_id": 784444128954941400,
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"timestamp": "08/18/2022 14:12:37",
"content": "i know how to prove it",
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"timestamp": "08/18/2022 14:12:43",
"content": "but what does it mean by explain??",
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"id": 1009887665312768100,
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"timestamp": "08/18/2022 14:13:02",
"content": "use words to describe your math",
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"id": 1009887691040641000,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 14:13:08",
"content": "oh",
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{
"id": 1009887713517904000,
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"author_name": "hiii554",
"timestamp": "08/18/2022 14:13:13",
"content": "so like i would say",
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"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/18/2022 14:13:16",
"content": "\"use trig identity\", \"cross multiply\", etc.",
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"id": 1009887939112751100,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 14:14:07",
"content": "add sinxtanx to sin/tan",
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"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "08/18/2022 14:15:09",
"content": "By common denominator?",
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"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 14:15:25",
"content": "explaining is kind of hard to do",
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"timestamp": "08/18/2022 14:16:00",
"content": "create a common denominator",
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},
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"id": 1009888442622156900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/18/2022 14:16:07",
"content": "communication is important",
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"timestamp": "08/18/2022 14:16:31",
"content": "create a common denomiator",
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},
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"author_name": "hiii554",
"timestamp": "08/18/2022 14:16:47",
"content": "by multiplying numeratot and denominator by tanx",
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"timestamp": "08/18/2022 14:17:11",
"content": "does that make sense",
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"author_name": "giannis_money",
"timestamp": "08/18/2022 14:17:54",
"content": "Yes",
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"author_name": "hiii554",
"timestamp": "08/18/2022 14:31:48",
"content": "wouldnt i first say use trig identity for tan x",
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"timestamp": "08/18/2022 14:32:45",
"content": "@riemann",
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"timestamp": "08/18/2022 14:32:59",
"content": "which is sin/cos",
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"author_name": "riemann",
"timestamp": "08/18/2022 14:33:33",
"content": "it's not 100% necessary. it's up to you to be how detailed you want. there's no one right answer",
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"timestamp": "08/18/2022 14:33:45",
"content": "ok",
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"author_name": "hiii554",
"timestamp": "08/18/2022 14:34:01",
"content": "but would i have to say the result",
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"author_name": "hiii554",
"timestamp": "08/18/2022 14:34:09",
"content": "becaause the 2nd question then asks u to do it",
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"timestamp": "08/18/2022 14:44:31",
"content": "I'd say just write in the math then in words",
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"timestamp": "08/18/2022 14:49:31",
"content": "@hiii554 Has your question been resolved?",
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"content": "",
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"timestamp": "08/18/2022 14:51:29",
"content": "am i supposed to plug in 45",
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"timestamp": "08/18/2022 14:51:54",
"content": "@riemann",
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"timestamp": "08/18/2022 14:51:55",
"content": "i think so",
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"timestamp": "08/18/2022 14:52:09",
"content": "dont know what they mean by exact values",
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"id": 1009897516914966700,
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"timestamp": "08/18/2022 14:52:11",
"content": "seems like a quick problem to get free points",
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"timestamp": "08/18/2022 14:52:25",
"content": "just theta into two places: cot and csc",
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"timestamp": "08/18/2022 14:52:39",
"content": "can i first solve the trig identity",
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"timestamp": "08/18/2022 14:52:44",
"content": "cause i did that",
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"timestamp": "08/18/2022 14:52:48",
"content": "and then plug in 45",
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"timestamp": "08/18/2022 14:53:34",
"content": "Wdym solve an identity",
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"id": 1009897899125133400,
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"timestamp": "08/18/2022 14:53:42",
"content": "i meant prove",
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"id": 1009897927801589900,
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"timestamp": "08/18/2022 14:53:48",
"content": "cause i got",
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"timestamp": "08/18/2022 14:53:59",
"content": "1/sin2theta",
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"id": 1009897982084259800,
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"author_name": "hiii554",
"timestamp": "08/18/2022 14:54:01",
"content": "for both sides",
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{
"id": 1009898015605145700,
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"author_name": "hiii554",
"timestamp": "08/18/2022 14:54:09",
"content": "can i plug 45 in",
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"id": 1009898024077643800,
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"timestamp": "08/18/2022 14:54:11",
"content": "to prove",
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"timestamp": "08/18/2022 14:54:12",
"content": "Ok but they're asking you to plug in theta = 45",
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"timestamp": "08/18/2022 14:54:36",
"content": "then can i first use trig identities",
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"timestamp": "08/18/2022 14:54:41",
"content": "then plug the 45 in",
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"id": 1009898163286593700,
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"timestamp": "08/18/2022 14:54:45",
"content": "to sin and cos",
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"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 14:54:58",
"content": "cause im not sure how to work with the cot",
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"id": 1009898234799476900,
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"timestamp": "08/18/2022 14:55:02",
"content": "csc",
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},
{
"id": 1009898271038251000,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 14:55:10",
"content": "does that work?",
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"author_name": "giannis_money",
"timestamp": "08/18/2022 14:55:36",
"content": "Don't use any identity",
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"id": 1009898399488823400,
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"timestamp": "08/18/2022 14:55:41",
"content": "oh",
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"author_name": "giannis_money",
"timestamp": "08/18/2022 14:55:58",
"content": "Do you know what's cot45",
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"id": 1009898502849036300,
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"author_name": "hiii554",
"timestamp": "08/18/2022 14:56:06",
"content": "no",
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"timestamp": "08/18/2022 14:56:34",
"content": "cos45?",
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"id": 1009898691873747100,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 14:56:51",
"content": "off the top of my head?",
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"author_name": "hiii554",
"timestamp": "08/18/2022 14:56:58",
"content": "i can use a calc",
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"timestamp": "08/18/2022 14:56:58",
"content": "Sure",
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"id": 1009898782764306400,
"author_id": 859166603114315800,
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"timestamp": "08/18/2022 14:57:12",
"content": "Are you allowed to",
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"timestamp": "08/18/2022 14:57:25",
"content": "yea",
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"timestamp": "08/18/2022 14:57:39",
"content": "but shouldnt i use exact values?",
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"id": 1009898909511983200,
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"timestamp": "08/18/2022 14:57:43",
"content": "with pi",
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"author_name": "giannis_money",
"timestamp": "08/18/2022 14:58:58",
"content": "Ok draw a right triangle with side lengths 1 and figure out cos and sin 45 from there",
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"id": 1009899411498877000,
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"timestamp": "08/18/2022 14:59:42",
"content": "1/sqrt2",
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},
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"id": 1009899501546389600,
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"timestamp": "08/18/2022 15:00:04",
"content": "Yea",
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},
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"id": 1009899516780105900,
"author_id": 859166603114315800,
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"timestamp": "08/18/2022 15:00:07",
"content": "What's sin45",
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},
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"id": 1009899865855246300,
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"author_name": "hiii554",
"timestamp": "08/18/2022 15:01:31",
"content": "0.70",
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"timestamp": "08/18/2022 15:02:44",
"content": "No it's this. Now the rest of the question should follow",
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"timestamp": "08/18/2022 15:04:16",
"content": "?",
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"id": 1009900623724036100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 15:04:31",
"content": "Channel closed",
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}
] |
help-9
|
bdff4cf114c5400690ba7de034b2ab26
|
197,906 |
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"content": ".reopen",
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"timestamp": "08/18/2022 15:04:42",
"content": "✅",
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"timestamp": "08/18/2022 15:06:18",
"content": "Sup?",
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"timestamp": "08/18/2022 15:06:26",
"content": "im confused lol",
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"content": "i thought u were showing",
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"timestamp": "08/18/2022 15:06:51",
"content": "the steps",
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"content": "no",
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"content": "unless i convert it",
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"timestamp": "08/18/2022 15:07:41",
"content": "To what",
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"timestamp": "08/18/2022 15:07:53",
"content": "1/tan45",
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"timestamp": "08/18/2022 15:08:12",
"content": "Do yk what's tan45",
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"timestamp": "08/18/2022 15:08:16",
"content": "1",
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"timestamp": "08/18/2022 15:08:28",
"content": "So you know what's cot45",
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"content": "1",
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"timestamp": "08/18/2022 15:08:40",
"content": "then",
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"timestamp": "08/18/2022 15:09:13",
"content": "What's the lhs equal to when theta=45",
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"content": "lhs",
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"timestamp": "08/18/2022 15:10:23",
"content": "?",
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"timestamp": "08/18/2022 15:11:25",
"content": "Left hand side",
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"timestamp": "08/18/2022 15:11:40",
"content": "2",
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"timestamp": "08/18/2022 15:11:52",
"content": "oh so i should use trig identities first",
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"timestamp": "08/18/2022 15:12:18",
"content": "No",
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"id": 1009902614688845800,
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"timestamp": "08/18/2022 15:12:26",
"content": "but thats what we did lmao",
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"timestamp": "08/18/2022 15:12:31",
"content": "Just evaluate each side and show they're equal",
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"timestamp": "08/18/2022 15:12:45",
"content": "Ok sure",
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"timestamp": "08/18/2022 15:13:02",
"content": "Do the same for the rhs",
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"timestamp": "08/18/2022 15:13:04",
"content": "",
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"timestamp": "08/18/2022 15:13:13",
"content": "mhm when u square it",
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"timestamp": "08/18/2022 15:13:24",
"content": "i dont think i have to nessecialy show",
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"timestamp": "08/18/2022 15:13:29",
"content": "that i converted it",
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"timestamp": "08/18/2022 15:13:50",
"content": "do u get b)",
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"timestamp": "08/18/2022 15:13:58",
"content": "Idk what \"it\" refers to",
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"timestamp": "08/18/2022 15:14:20",
"content": "Yea but apparently you already know how to do that",
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"timestamp": "08/18/2022 15:14:28",
"content": "huh?",
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"timestamp": "08/18/2022 15:14:34",
"content": ".",
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"timestamp": "08/18/2022 15:15:01",
"content": "i dont get the difference between a and b",
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"timestamp": "08/18/2022 15:15:07",
"content": "they seem the same",
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"timestamp": "08/18/2022 15:16:17",
"content": "a is for just theta=45",
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"timestamp": "08/18/2022 15:16:21",
"content": "b is for all theta",
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"timestamp": "08/18/2022 15:16:47",
"content": "But you can't use b to do a which is what you wanted to do",
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"timestamp": "08/18/2022 15:17:30",
"content": "so i just plug in 45 for b",
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"timestamp": "08/18/2022 15:17:43",
"content": "Oh no",
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"timestamp": "08/18/2022 15:18:11",
"content": "huh",
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"id": 1009904106317566100,
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"author_name": "hiii554",
"timestamp": "08/18/2022 15:18:22",
"content": "the wording is killin me",
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"id": 1009904127641407600,
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"author_name": "hiii554",
"timestamp": "08/18/2022 15:18:27",
"content": "of these questions",
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"id": 1009904518760235000,
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"author_name": "giannis_money",
"timestamp": "08/18/2022 15:20:00",
"content": "Oh I misread b",
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"timestamp": "08/18/2022 15:20:43",
"content": "But yea you do the same thing just sub in 45 at some point",
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"timestamp": "08/18/2022 15:21:07",
"content": "also a says exact values",
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"id": 1009904924164894800,
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"author_name": "hiii554",
"timestamp": "08/18/2022 15:21:37",
"content": "b) says \"in part a directly",
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"timestamp": "08/18/2022 15:21:48",
"content": "WHat the heck does that mean",
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"id": 1009905010815021000,
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"author_name": "giannis_money",
"timestamp": "08/18/2022 15:21:57",
"content": "Ok these questions are weird and annoying I'm going",
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"timestamp": "08/18/2022 15:22:21",
"content": "sorry im frustrated by them",
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"timestamp": "08/18/2022 15:22:24",
"content": "its fine",
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"id": 1009905550085062700,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "08/18/2022 15:24:06",
"content": "There's an identity in part a, right?",
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"id": 1009905605487632400,
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"timestamp": "08/18/2022 15:24:19",
"content": "yes",
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"author_name": "Gamer Dio",
"timestamp": "08/18/2022 15:24:43",
"content": "Let me think rq",
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"id": 1009905716112392300,
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"author_name": "hiii554",
"timestamp": "08/18/2022 15:24:45",
"content": "but it wants exact values",
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"author_name": "Gamer Dio",
"timestamp": "08/18/2022 15:24:57",
"content": "That's fine. 45 degrees is a nice angle",
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"author_name": "Gamer Dio",
"timestamp": "08/18/2022 15:25:05",
"content": "It's on the unit circle",
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"id": 1009905863034683400,
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"timestamp": "08/18/2022 15:25:20",
"content": "oh",
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"author_name": "hiii554",
"timestamp": "08/18/2022 15:25:27",
"content": "i thought i was supposed to express with pi",
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"id": 1009906018634965000,
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"author_name": "Gamer Dio",
"timestamp": "08/18/2022 15:25:57",
"content": "Using π is another way to measure angles",
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"id": 1009906040415993900,
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"timestamp": "08/18/2022 15:26:03",
"content": "ok",
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"id": 1009906043054198800,
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"author_name": "Gamer Dio",
"timestamp": "08/18/2022 15:26:03",
"content": "It won't be used in your answer",
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"id": 1009906106128150700,
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"timestamp": "08/18/2022 15:26:18",
"content": "i just converted the cot2theta",
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"id": 1009906130429939800,
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"timestamp": "08/18/2022 15:26:24",
"content": "to 1/tan^2",
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"timestamp": "08/18/2022 15:26:46",
"content": "That's also fine",
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"id": 1009906231567204400,
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"timestamp": "08/18/2022 15:26:48",
"content": "ok",
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"id": 1009906269055893500,
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"author_name": "hiii554",
"timestamp": "08/18/2022 15:26:57",
"content": "but do u understand b tho?",
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"id": 1009906300144058400,
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"author_name": "hiii554",
"timestamp": "08/18/2022 15:27:05",
"content": "thats unclear to me",
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"id": 1009906376107118700,
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"author_name": "Gamer Dio",
"timestamp": "08/18/2022 15:27:23",
"content": "Yes. It wants you to use sin²x + cos²x = 1 to derive 1 + cot²x = csc²x",
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"timestamp": "08/18/2022 15:27:43",
"content": "Aka, manipulate sin²x + cos²x = 1 to get 1 + cot²x = csc²x",
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"id": 1009906610354802800,
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"timestamp": "08/18/2022 15:28:19",
"content": "then what do i do with 45",
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"timestamp": "08/18/2022 15:29:01",
"content": "Frankly, I don't know why part b mentions 45 degrees. The identity holds for all values in the domain",
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"timestamp": "08/18/2022 15:29:32",
"content": "oh ok",
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"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 15:44:32",
"content": "@hiii554 Has your question been resolved?",
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"timestamp": "08/18/2022 15:45:04",
"content": "how am i supposed to manipulate",
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"id": 1009910914713141400,
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"author_name": "hiii554",
"timestamp": "08/18/2022 15:45:25",
"content": "its not being equivalent",
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"timestamp": "08/18/2022 15:47:41",
"content": "They are",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "08/18/2022 15:47:56",
"content": "Try dividing both sides by something",
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"id": 1009912602136158300,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 15:52:07",
"content": "am i supposed to put it as 1+cot^ theta=csc^2 theta= sin^2theta + cos^2 thta",
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"id": 1009912641633910900,
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"timestamp": "08/18/2022 15:52:17",
"content": "cause unclear on how to set it up",
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"id": 1009912866297618400,
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"author_name": "hiii554",
"timestamp": "08/18/2022 15:53:10",
"content": "@Gamer Dio",
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"id": 1009913303407022100,
"author_id": 715875286041886800,
"author_name": "Akise",
"timestamp": "08/18/2022 15:54:54",
"content": "Divide both sides by sin²theta in part b)",
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},
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"id": 1009913405798371500,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 15:55:19",
"content": "is the wya i set it up correct?",
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"id": 1009913567706878100,
"author_id": 715875286041886800,
"author_name": "Akise",
"timestamp": "08/18/2022 15:55:57",
"content": "It changes the identity",
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},
{
"id": 1009913618428612700,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 15:56:09",
"content": "lemme try one sec",
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},
{
"id": 1009913637420400600,
"author_id": 715875286041886800,
"author_name": "Akise",
"timestamp": "08/18/2022 15:56:14",
"content": "To part a)",
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},
{
"id": 1009913873584881800,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 15:57:10",
"content": "i get 1/sin",
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},
{
"id": 1009913894539645000,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 15:57:15",
"content": "^2theta",
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},
{
"id": 1009914084805857400,
"author_id": 715875286041886800,
"author_name": "Akise",
"timestamp": "08/18/2022 15:58:01",
"content": "Yes what is 1/sintheta",
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},
{
"id": 1009914183200014300,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 15:58:24",
"content": "csctheta too",
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},
{
"id": 1009914266566021200,
"author_id": 715875286041886800,
"author_name": "Akise",
"timestamp": "08/18/2022 15:58:44",
"content": "Yes you'll get that squared",
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},
{
"id": 1009914280453353500,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 15:58:47",
"content": "2",
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},
{
"id": 1009914297629036700,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 15:58:51",
"content": "1/0.5",
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},
{
"id": 1009914464751067300,
"author_id": 715875286041886800,
"author_name": "Akise",
"timestamp": "08/18/2022 15:59:31",
"content": "1/0.5\n=1/(1/2)\n=2",
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},
{
"id": 1009914470203658400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 15:59:33",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
d1871ccb76bc4d848dd8cf349818d61c
|
197,907 |
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{
"id": 1009914484510437500,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 15:59:36",
"content": "yep",
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},
{
"id": 1009914520124260400,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 15:59:44",
"content": "i seee",
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},
{
"id": 1009914604253630500,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 16:00:04",
"content": "so i need it to be equal to 2",
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},
{
"id": 1009926107857956900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 16:45:47",
"content": "Available help channel!",
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},
{
"id": 1009937978505842700,
"author_id": 255804106583572480,
"author_name": "AvgBlue",
"timestamp": "08/18/2022 17:32:57",
"content": "So I need to prove that a number the complex with only the number 1 like 11 111, can be be divided by 7 without a remainder",
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},
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"id": 1009937980342935600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 17:32:58",
"content": "Pinned a message.",
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{
"id": 1009938474708771000,
"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "08/18/2022 17:34:56",
"content": "Like any amount of 1s? e.g only 6 1s",
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},
{
"id": 1009939795469938800,
"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "08/18/2022 17:40:11",
"content": "Then use euler's theorem",
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},
{
"id": 1009939948645924900,
"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "08/18/2022 17:40:47",
"content": "Don't know why Discord sent one message twice. Sorry",
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},
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"id": 1009941001378472000,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 17:44:58",
"content": "that's false, 11 can't be divided by 7",
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"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 17:45:29",
"content": "111 can't either",
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},
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"id": 1009941191984414800,
"author_id": 255804106583572480,
"author_name": "AvgBlue",
"timestamp": "08/18/2022 17:45:43",
"content": "Any amount of 1",
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"id": 1009941261257547900,
"author_id": 255804106583572480,
"author_name": "AvgBlue",
"timestamp": "08/18/2022 17:46:00",
"content": "With code you can find some of them",
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},
{
"id": 1009941263530868700,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 17:46:01",
"content": "11 is 2 ones",
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},
{
"id": 1009941297248866400,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 17:46:09",
"content": "do you just want to find an example ?",
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},
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"id": 1009941344082473100,
"author_id": 255804106583572480,
"author_name": "AvgBlue",
"timestamp": "08/18/2022 17:46:20",
"content": "I want a prof",
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{
"id": 1009941404908269700,
"author_id": 255804106583572480,
"author_name": "AvgBlue",
"timestamp": "08/18/2022 17:46:34",
"content": "I need one to not get an f in my assignment",
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},
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"id": 1009941438982795400,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 17:46:42",
"content": "proof of what exactly ? that for any amount of ones the resulting number is divisible by 7 ? because that's false",
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"id": 1009941474516930600,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 17:46:51",
"content": "or that there exists an amount of ones",
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"id": 1009941504904667100,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 17:46:58",
"content": "such that the resulting number is divisible by 7",
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"id": 1009941524903108700,
"author_id": 255804106583572480,
"author_name": "AvgBlue",
"timestamp": "08/18/2022 17:47:03",
"content": "Not any, that exist a number like that",
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"id": 1009941661037646000,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 17:47:35",
"content": "so you want to show that there exists a number with this property right ?",
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"id": 1009941697683275800,
"author_id": 255804106583572480,
"author_name": "AvgBlue",
"timestamp": "08/18/2022 17:47:44",
"content": "Yes",
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"id": 1009941781137330300,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 17:48:04",
"content": ",w 111111/7",
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"id": 1009941788200538200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/18/2022 17:48:06",
"content": "Results provided by WolframAlpha",
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},
{
"id": 1009941841057169400,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 17:48:18",
"content": "there you go",
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"id": 1009942054308167800,
"author_id": 255804106583572480,
"author_name": "AvgBlue",
"timestamp": "08/18/2022 17:49:09",
"content": "I know this number but i think I need a bit more meat for this prof, (the meat expression work in English?)",
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},
{
"id": 1009942141197357200,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 17:49:30",
"content": "proving existence can be done by citing only one example",
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"id": 1009942315051270300,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 17:50:11",
"content": "I am not a native english speaker but I think the expression is correct",
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{
"id": 1009942492138979500,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 17:50:53",
"content": "anyway a statement about existence can be proven by constructing a single example",
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"id": 1009942521331323000,
"author_id": 270241376522731520,
"author_name": "G4J",
"timestamp": "08/18/2022 17:51:00",
"content": "(yes the meat does work 👍)",
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"id": 1009942521473941600,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 17:51:00",
"content": "we don't need 36",
"attachments": [],
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},
{
"id": 1009942602637905900,
"author_id": 270241376522731520,
"author_name": "G4J",
"timestamp": "08/18/2022 17:51:20",
"content": "yeah but this is math",
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},
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"id": 1009942646535487500,
"author_id": 255804106583572480,
"author_name": "AvgBlue",
"timestamp": "08/18/2022 17:51:30",
"content": "I know, and will do it in a test if i must but this is a Combinatorics question",
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"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 17:51:50",
"content": "can you give me the exact question",
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"id": 1009942817403060200,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/18/2022 17:52:11",
"content": "pigeon hole principle?",
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"id": 1009942836084486300,
"author_id": 255804106583572480,
"author_name": "AvgBlue",
"timestamp": "08/18/2022 17:52:15",
"content": "The question is not in English",
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},
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"id": 1009942898080481300,
"author_id": 255804106583572480,
"author_name": "AvgBlue",
"timestamp": "08/18/2022 17:52:30",
"content": "I think so but I don't know how to use it",
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"author_name": "R00tKiT",
"timestamp": "08/18/2022 17:52:41",
"content": "write its translation if you can",
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"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 17:52:46",
"content": "or use google translate",
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},
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"id": 1009943295478206500,
"author_id": 255804106583572480,
"author_name": "AvgBlue",
"timestamp": "08/18/2022 17:54:05",
"content": ".",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1009943294844874975/IMG-20220819-WA0007.jpg",
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{
"id": 1009943531739164800,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 17:55:01",
"content": "can you write down the text",
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},
{
"id": 1009943560545644700,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 17:55:08",
"content": "so I can put it into google translate",
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},
{
"id": 1009943576324603900,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 17:55:12",
"content": "oh gosh hebrew",
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},
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"id": 1009943618699661400,
"author_id": 255804106583572480,
"author_name": "AvgBlue",
"timestamp": "08/18/2022 17:55:22",
"content": "Show that exist a number in the form 1....11 (a natural number that every digital is 1) that divide by 7 without a remainder",
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},
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"id": 1009944045017120900,
"author_id": 270241376522731520,
"author_name": "G4J",
"timestamp": "08/18/2022 17:57:04",
"content": "Show that there exists a natural number 111...111 such that that specific number can be divided by 7 and leave no remainder",
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"reference": null
},
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"id": 1009944155688013800,
"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "08/18/2022 17:57:30",
"content": "Then giving one example is enough. I think what your prof wants is the way how you got to this example",
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"id": 1009944197626855400,
"author_id": 255804106583572480,
"author_name": "AvgBlue",
"timestamp": "08/18/2022 17:57:40",
"content": "Thx",
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"id": 1009944218552246400,
"author_id": 270241376522731520,
"author_name": "G4J",
"timestamp": "08/18/2022 17:57:45",
"content": "👍",
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},
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"id": 1009944390292217900,
"author_id": 255804106583572480,
"author_name": "AvgBlue",
"timestamp": "08/18/2022 17:58:26",
"content": "How i use the pigeon hole principles for this?",
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},
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"id": 1009944433892003800,
"author_id": 270241376522731520,
"author_name": "G4J",
"timestamp": "08/18/2022 17:58:36",
"content": "If you were to do this algebraically you might do long division",
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},
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"id": 1009944508722577500,
"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 17:58:54",
"content": "let's pretend we can't give this example, any number of the form 11..111 is simply $\\sum_{k=0}^{n} 10^k$ where n is yet to be determined",
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},
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"id": 1009944520554713100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/18/2022 17:58:57",
"content": "**AimaneSN**",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1009944520613445674/628203740494823434.png",
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"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "08/18/2022 17:58:58",
"content": "Or euler's theorem",
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"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 18:00:27",
"content": "1=1 (mod 7), 10 = 3 (mod 7), 10² = 2 (mod 7), 10³ = 6 (mod 7), 10⁴ = 4 (mod 7), 10⁵ = 5 (mod 7)",
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"author_name": "R00tKiT",
"timestamp": "08/18/2022 18:00:36",
"content": "now sum all the remainders in RHS",
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"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 18:00:41",
"content": "you get 21 which is 0 mod 7",
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"author_id": 628203740494823400,
"author_name": "R00tKiT",
"timestamp": "08/18/2022 18:00:56",
"content": "and the sum of 10⁵+ ... + 10 +1 is exactly 111111",
"attachments": [],
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},
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"author_id": 255804106583572480,
"author_name": "AvgBlue",
"timestamp": "08/18/2022 18:01:18",
"content": "We didn't learn this i class so I doubt we can use it, and I don't think I know it",
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"author_name": "Kohlemaennchen",
"timestamp": "08/18/2022 18:01:51",
"content": "Oh, ok. Would be an instant proof",
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"author_id": 585863267084402700,
"author_name": "BartekChom",
"timestamp": "08/18/2022 18:03:27",
"content": "I have something similar (arithmetic modulo)\nmod 7 \\*10 is equivalent to \\*3\n1 (\\*3+1) 4 (\\*3+1) 13=6 (\\*3+1) 19=5 (\\*3+1) 16=2 (\\*3+1) 7\nbut it is probably also not helpful and even less clear. **What did you learn in class?**",
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"id": 1009946354308628500,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/18/2022 18:06:14",
"content": "another proof (non-constructive) to add to the list: by the pigeon hole principle, at least two of these numbers must have the same remainder on division by 7. So the difference of these numbers is 11...10..0 is divisible by 7. But gcd(7,10)=1.",
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"author_name": "Toby",
"timestamp": "08/18/2022 18:07:01",
"content": "spoilt for choice on ways to prove this ¯\\_(ツ)_/¯",
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"author_name": "AvgBlue",
"timestamp": "08/18/2022 18:09:15",
"content": "But how i connect it to the 1 digital",
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"author_name": "BartekChom",
"timestamp": "08/18/2022 18:12:04",
"content": "I am sorry, I have to go. It is after midnight here. Interesting proof, Toby, I could not find a way to use the pigeon hole principle.\nAvgBlue, you really should tell the people, what do you have in school. There is a lot of possibilities.",
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"author_name": "AvgBlue",
"timestamp": "08/18/2022 18:15:22",
"content": "Ok thx, i will to it nex time I'm also need to sleep thx toby\n.close",
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"timestamp": "08/18/2022 18:15:45",
"content": ".close",
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},
{
"id": 1009948749616906200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 18:15:45",
"content": "Channel closed",
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}
] |
help-9
|
a419b7529b7649649209ca801613ef05
|
197,908 |
[
{
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"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 18:16:46",
"content": "Available help channel!",
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},
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"author_id": 805217272087838700,
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"timestamp": "08/18/2022 18:26:22",
"content": "Pinned a message.",
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"author_id": 411688363511513100,
"author_name": "Enigma",
"timestamp": "08/18/2022 18:26:42",
"content": "Is it possible for the sum of two vectors to be less than the difference of their magnitudes?",
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},
{
"id": 1009951654860312600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/18/2022 18:27:18",
"content": "triangle inequality",
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},
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"id": 1009951976437583900,
"author_id": 411688363511513100,
"author_name": "Enigma",
"timestamp": "08/18/2022 18:28:35",
"content": "That doesn't provide an answer for my question whatsoever",
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"id": 1009952162580799500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/18/2022 18:29:19",
"content": "it's a hint",
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"id": 1009952243577008100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/18/2022 18:29:38",
"content": "we're not supposed to flat out give answers",
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},
{
"id": 1009952285398421500,
"author_id": 411688363511513100,
"author_name": "Enigma",
"timestamp": "08/18/2022 18:29:48",
"content": "It really isn't a hint",
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},
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"author_id": 411688363511513100,
"author_name": "Enigma",
"timestamp": "08/18/2022 18:29:58",
"content": "It's a theorem that is elementary and unrelated",
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"id": 1009952347260203000,
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"author_name": "riemann",
"timestamp": "08/18/2022 18:30:03",
"content": "it's absolutely related",
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"id": 1009952510544445400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/18/2022 18:30:42",
"content": "draw the picture of two vectors head to tail and draw the sum of the two vectors",
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"author_name": "riemann",
"timestamp": "08/18/2022 18:30:53",
"content": "triangle inequality will be more obvious to you then",
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"id": 1009952661551993000,
"author_id": 411688363511513100,
"author_name": "Enigma",
"timestamp": "08/18/2022 18:31:18",
"content": "the sum of the two vectors from my understanding can only be between 160 and 240 in this case",
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"id": 1009952691281215600,
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"author_name": "Enigma",
"timestamp": "08/18/2022 18:31:25",
"content": "as is evident from the cosine rule",
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"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "08/18/2022 18:31:54",
"content": "and doesn't that help you to answer the question?",
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"id": 1009952917706514600,
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"author_name": "Enigma",
"timestamp": "08/18/2022 18:32:19",
"content": "which is why i believe the correct answer is 200 for the screen capture i provided above",
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"id": 1009952945716068500,
"author_id": 411688363511513100,
"author_name": "Enigma",
"timestamp": "08/18/2022 18:32:26",
"content": "looking for confirmation on my thought process",
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"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "08/18/2022 18:32:30",
"content": "why do you say it is not the correct answer?",
"attachments": [],
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"id": 1009952966184284200,
"author_id": 411688363511513100,
"author_name": "Enigma",
"timestamp": "08/18/2022 18:32:31",
"content": "not the answer",
"attachments": [],
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},
{
"id": 1009953005182918800,
"author_id": 411688363511513100,
"author_name": "Enigma",
"timestamp": "08/18/2022 18:32:40",
"content": "the screen capture says it isn't",
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"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "08/18/2022 18:32:46",
"content": "the screen capture is wrong",
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"id": 1009953046341636200,
"author_id": 411688363511513100,
"author_name": "Enigma",
"timestamp": "08/18/2022 18:32:50",
"content": "thank you",
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},
{
"id": 1009953053207711900,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "08/18/2022 18:32:51",
"content": "200 is obviously achievable",
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"id": 1009953058937118700,
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"author_name": "Enigma",
"timestamp": "08/18/2022 18:32:53",
"content": "that's all I wanted",
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"id": 1009953074799968300,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "08/18/2022 18:32:57",
"content": "take a circle of radius 200",
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"author_name": "Enigma",
"timestamp": "08/18/2022 18:32:58",
"content": "right and 100 is not",
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"id": 1009953127216193500,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "08/18/2022 18:33:09",
"content": "take a vector from the center to a point on the circle",
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"id": 1009953177753354400,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "08/18/2022 18:33:21",
"content": "then take a vector of length 40 that connects that point to another point on the circle",
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"id": 1009953213279125600,
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"author_name": "Bungo",
"timestamp": "08/18/2022 18:33:30",
"content": "the sum of those two vectors has length 200",
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"id": 1009953285496655900,
"author_id": 411688363511513100,
"author_name": "Enigma",
"timestamp": "08/18/2022 18:33:47",
"content": "right 200 is the only possibility for the sum of these two vectors",
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"id": 1009953311354527700,
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"author_name": "Enigma",
"timestamp": "08/18/2022 18:33:53",
"content": "with magnitudes of 200 and 40, correct>",
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"author_name": "Bungo",
"timestamp": "08/18/2022 18:33:53",
"content": "yes it is",
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"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "08/18/2022 18:33:57",
"content": "your reasoning is correct",
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"id": 1009953350323802400,
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"author_name": "Enigma",
"timestamp": "08/18/2022 18:34:02",
"content": "much appreciated",
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"id": 1009953929540407300,
"author_id": 411688363511513100,
"author_name": "Enigma",
"timestamp": "08/18/2022 18:36:20",
"content": ".close",
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},
{
"id": 1009953931276857300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 18:36:21",
"content": "Channel closed",
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}
] |
help-9
|
983a404035fe4544af250c102fd0dbcc
|
197,909 |
[
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"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 18:37:21",
"content": "Available help channel!",
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},
{
"id": 1009956521599316000,
"author_id": 623494823093207000,
"author_name": "muppetman",
"timestamp": "08/18/2022 18:46:38",
"content": "",
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"timestamp": "08/18/2022 18:46:39",
"content": "Pinned a message.",
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"author_id": 623494823093207000,
"author_name": "muppetman",
"timestamp": "08/18/2022 18:46:49",
"content": "why is the answer sin(x^2)2x/x^2?",
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"id": 1009956599755964400,
"author_id": 623494823093207000,
"author_name": "muppetman",
"timestamp": "08/18/2022 18:46:57",
"content": "I dont understand how to get that as the answer",
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},
{
"id": 1009956709877416100,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/18/2022 18:47:23",
"content": "have you looked at the fundamental theorems of calculus?",
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"id": 1009957849356566700,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/18/2022 18:51:55",
"content": "it's saying that G(x) equals the *result* of the above integral. FTOC also states that integrals and derivatives are inverse operations",
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"timestamp": "08/18/2022 18:53:48",
"content": "",
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"timestamp": "08/18/2022 18:53:59",
"content": "Example 6 and on\n<https://tutorial.math.lamar.edu/classes/calci/DefnofDefiniteIntegral.aspx>",
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"author_name": "muppetman",
"timestamp": "08/18/2022 18:54:17",
"content": "i know this",
"attachments": [],
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},
{
"id": 1009958497225551900,
"author_id": 623494823093207000,
"author_name": "muppetman",
"timestamp": "08/18/2022 18:54:29",
"content": "but i dont know how to deal with the x^2 upper bound on integral",
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},
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"id": 1009958525222539300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/18/2022 18:54:36",
"content": "read this",
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},
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"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/18/2022 18:55:46",
"content": "you're simply just plugging it in like any other number. For example, if you have f(x) = t^2, and we plug in x = u + 3, then it would be f(u + 3) = (u + 3)^2, right? Same thing. you plug in x^2 after solving the intergral",
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"author_name": "MellowDramaLlama",
"timestamp": "08/18/2022 18:57:12",
"content": "@muppetman this is a fantastic resource. It's good to read on",
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"author_name": "muppetman",
"timestamp": "08/18/2022 19:01:42",
"content": "i dont get this",
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"author_id": 623494823093207000,
"author_name": "muppetman",
"timestamp": "08/18/2022 19:01:45",
"content": "i read the source",
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"author_id": 623494823093207000,
"author_name": "muppetman",
"timestamp": "08/18/2022 19:01:51",
"content": "they used chain rule but some convoluted version",
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"author_name": "MellowDramaLlama",
"timestamp": "08/18/2022 19:02:08",
"content": "also, kahn academy has a great explanation:\nhttps://www.youtube.com/watch?v=C7ducZoLKgw&ab_channel=KhanAcademy (pt 1)\nhttps://www.youtube.com/watch?v=JbfVrwxuPxM&t=221s&ab_channel=KhanAcademy (pt 2)",
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"timestamp": "08/18/2022 19:02:20",
"content": "suppose i had an upper bound of x^2+x+1",
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"timestamp": "08/18/2022 19:02:23",
"content": "then what",
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"timestamp": "08/18/2022 19:02:33",
"content": "then you plug that in",
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"content": "let's take a simple example",
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"content": "give me a moment",
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"content": "this will be a multi-step process, so bare with me",
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"timestamp": "08/18/2022 19:03:32",
"content": "quick do me a favor and solve this:",
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"timestamp": "08/18/2022 19:04:48",
"content": "using which method?",
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"timestamp": "08/18/2022 19:06:12",
"content": "it's a basic intergral. have you done these before?",
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"timestamp": "08/18/2022 19:06:41",
"content": "i learned the definition way and the reimann formula",
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"timestamp": "08/18/2022 19:06:57",
"content": "ooooh okay",
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"author_name": "muppetman",
"timestamp": "08/18/2022 19:07:04",
"content": "but im just learning",
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"timestamp": "08/18/2022 19:07:07",
"content": "so how do i do it",
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"timestamp": "08/18/2022 19:07:12",
"content": "in my calc class they had us practice integrals first before FTOC",
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"timestamp": "08/18/2022 19:07:54",
"content": "okay, I\"ll follow through real quick through this w/o aking questions. Have you done anti derivatives?",
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"timestamp": "08/18/2022 19:08:11",
"content": "like if the derivative of x^2 is 2x, you understand that x^2 is the anti derivative?",
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"timestamp": "08/18/2022 19:08:13",
"content": "yes, anti derivative is a function whre F'x=fx",
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"timestamp": "08/18/2022 19:08:31",
"content": "okay good",
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"timestamp": "08/18/2022 19:08:34",
"content": "indefinite integral is the sum of them all",
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"author_name": "MellowDramaLlama",
"timestamp": "08/18/2022 19:08:55",
"content": "so what is the anti derivative of x?",
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"timestamp": "08/18/2022 19:09:01",
"content": "i know for indefinite u use guess and check, and for definite u use reimann formula or u find upper sum and lwoer sum",
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"timestamp": "08/18/2022 19:09:20",
"content": "x^2/2",
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"timestamp": "08/18/2022 19:09:25",
"content": "perfect",
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"author_name": "muppetman",
"timestamp": "08/18/2022 19:09:38",
"content": "but i dont know how to do definite integrals quickly",
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"timestamp": "08/18/2022 19:10:02",
"content": "well you found the anti dervative , which is half the battle",
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"timestamp": "08/18/2022 19:10:35",
"content": "FTOC states",
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"timestamp": "08/18/2022 19:10:43",
"content": "so then you just plug and chug",
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"timestamp": "08/18/2022 19:11:40",
"content": "ok, so we basically never use uppersum= lower sum then right",
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"timestamp": "08/18/2022 19:11:57",
"content": "because i remember doing that for basic functions where u could observe the graph and use uppersum=lowersum",
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"timestamp": "08/18/2022 19:12:30",
"content": "is this pretty much what we'll be using for definite integrals?",
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"timestamp": "08/18/2022 19:13:21",
"content": "yep basically!",
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"timestamp": "08/18/2022 19:13:22",
"content": "so we get this",
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"timestamp": "08/18/2022 19:13:48",
"content": "u mean x^2/2 not x^2 rite?",
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"timestamp": "08/18/2022 19:13:54",
"content": "oh wait",
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"timestamp": "08/18/2022 19:13:57",
"content": "yeah i see the 1/2",
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"timestamp": "08/18/2022 19:14:03",
"content": "yeah that cehcks out",
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"timestamp": "08/18/2022 19:14:08",
"content": "okay great!",
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"timestamp": "08/18/2022 19:14:18",
"content": "so we combine our properties of definite integrals and this rule to solve them basically",
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"timestamp": "08/18/2022 19:14:24",
"content": "and wesovle indefinite ones by guess and check",
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"timestamp": "08/18/2022 19:14:41",
"content": "now using that same logic, solve this real quick:",
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"timestamp": "08/18/2022 19:15:05",
"content": "2a^2?",
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"timestamp": "08/18/2022 19:15:06",
"content": "No indefinite just produces a function",
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"timestamp": "08/18/2022 19:15:47",
"content": "yep!",
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"timestamp": "08/18/2022 19:16:00",
"content": "now we know that F(a) = 2a^2",
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"author_name": "MellowDramaLlama",
"timestamp": "08/18/2022 19:16:08",
"content": "so what about the derivative of f(a)?",
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"timestamp": "08/18/2022 19:17:20",
"content": "is this F(a) only from 0 to 2a",
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"timestamp": "08/18/2022 19:17:54",
"content": "where f(a) is the pic above?",
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"timestamp": "08/18/2022 19:18:00",
"content": "hmmm",
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"author_name": "MellowDramaLlama",
"timestamp": "08/18/2022 19:18:24",
"content": "I think there are some mathematical knowledge gaps here that's making it a bit hard to explain this",
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"timestamp": "08/18/2022 19:19:29",
"content": "I recommend doing a readthrough starting here",
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"timestamp": "08/18/2022 19:19:30",
"content": "https://tutorial.math.lamar.edu/Classes/CalcI/IndefiniteIntegrals.aspx",
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"author_name": "muppetman",
"timestamp": "08/18/2022 19:20:20",
"content": "im cramming for a test so not rn lol",
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"timestamp": "08/18/2022 19:20:44",
"content": "oh dang",
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"author_name": "muppetman",
"timestamp": "08/18/2022 19:20:56",
"content": "but would the derivative of f(a) be calculated using F(a)",
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"timestamp": "08/18/2022 19:21:01",
"content": "or just looking at the pic",
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"timestamp": "08/18/2022 19:22:03",
"content": "let's skip that for now if you're cramming.\n\nBasically, using the same logic that you simply plug in the bounds of the definite integral. In your example, x^2 is simply something to plug in once you find the integral of sin(t) / t",
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"timestamp": "08/18/2022 19:22:07",
"content": "the videos I provided will be able to do a WAAAAY better job explain than I could unfortunately",
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"timestamp": "08/18/2022 19:22:14",
"content": "I recommend watching those",
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"timestamp": "08/18/2022 19:22:24",
"content": "ok, so if im getting this right",
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"timestamp": "08/18/2022 19:22:38",
"content": "upper bound replaces t or whatever other variable si in use",
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"timestamp": "08/18/2022 19:22:47",
"content": "so for sint/t with upper bound x^3",
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"timestamp": "08/18/2022 19:23:20",
"content": "we take d/dx of int(func) = func, then d/dx x^3? giving us sin(x^3)/x^3 times 3x^2",
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"timestamp": "08/18/2022 19:23:57",
"content": "yep exactly! We basically just changed the single variable we are working with from t to x",
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"timestamp": "08/18/2022 19:24:07",
"content": "just fwiw",
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"timestamp": "08/18/2022 19:24:10",
"content": "this is a hard concept",
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"author_name": "MellowDramaLlama",
"timestamp": "08/18/2022 19:24:14",
"content": "it's hard to wrap your brain around",
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"timestamp": "08/18/2022 19:24:24",
"content": "I'm in my last semester of my math degree and I just now got it",
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"timestamp": "08/18/2022 19:24:28",
"content": "fully got it I mean",
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"author_name": "muppetman",
"timestamp": "08/18/2022 19:27:16",
"content": "im not looking to do proofs with it yet just calcs, so i think im good for now lol",
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"timestamp": "08/18/2022 19:27:33",
"content": "huh, dont they cover analysis/advanced calc in first yr?",
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"timestamp": "08/18/2022 19:27:58",
"content": "depends on the university",
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"author_name": "MellowDramaLlama",
"timestamp": "08/18/2022 19:28:09",
"content": "I'm up to real analysis and proof based courses now",
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"timestamp": "08/18/2022 19:28:33",
"content": "but for the calculus class I took, it was strictly \"here's what calculus does for us\"",
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"timestamp": "08/18/2022 19:28:45",
"content": "calc 1 gives us tools to find slopes of curves",
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"timestamp": "08/18/2022 19:28:47",
"content": "for example",
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"timestamp": "08/18/2022 19:32:37",
"content": "ok",
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"timestamp": "08/18/2022 19:32:40",
"content": "a final question",
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"timestamp": "08/18/2022 19:32:55",
"content": "why can we do d/dx on some function with variable t",
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"timestamp": "08/18/2022 19:33:09",
"content": "derivative is in terms of x, but function in terms of t",
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"timestamp": "08/18/2022 19:33:38",
"content": "why does this work when finding f(x) when F(x) = integral of f(x)",
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"timestamp": "08/18/2022 19:33:45",
"content": "@MellowDramaLlama",
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"timestamp": "08/18/2022 19:34:47",
"content": "don't ping please, I'm helping other people as well ^_^",
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"timestamp": "08/18/2022 19:35:09",
"content": "the basic answer is that functions can provide \"transformations\"",
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"timestamp": "08/18/2022 19:35:31",
"content": "if I have f(x) = 2x + 1, and I plug in another variable, y, then we have f(y) = 2y + 1",
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"timestamp": "08/18/2022 19:35:39",
"content": "now y is the variable",
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"timestamp": "08/18/2022 19:37:25",
"content": "sry",
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"timestamp": "08/18/2022 19:37:37",
"content": "no worries",
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"timestamp": "08/18/2022 19:37:47",
"content": "waht I\"m tyring to say is that it doesn't always have to be x",
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"timestamp": "08/18/2022 19:38:01",
"content": "so if you did something, say y or t, then you would just take the derivative with respect to the new variable",
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"timestamp": "08/18/2022 19:38:02",
"content": "i guess im curious why we can take the d/dx of another variable though",
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"timestamp": "08/18/2022 19:38:25",
"content": "this is really vague. do you have an example",
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"content": "i'm pretty sure i answered when you asked this question yesterday already",
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"timestamp": "08/18/2022 19:38:39",
"content": "like ive seen d/dx (integral) (some function in terms of t)",
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"timestamp": "08/18/2022 19:38:49",
"content": "can you screenshot or something",
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"timestamp": "08/18/2022 19:38:51",
"content": "no but this is integrals",
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"timestamp": "08/18/2022 19:38:56",
"content": "ok",
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"timestamp": "08/18/2022 19:39:29",
"content": "you're probably thinking of \n<https://mathworld.wolfram.com/DummyVariable.html>",
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"timestamp": "08/18/2022 19:40:17",
"content": "@riemann it's a discussion on the FTOC. They're confused on the plugging in another variable as an integral bound",
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"timestamp": "08/18/2022 19:40:45",
"content": "im asking if this is only possible because d/dx is applied to the integral sign not ft",
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"timestamp": "08/18/2022 19:41:03",
"content": "this expression is a function of x",
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"timestamp": "08/18/2022 19:41:16",
"content": "t gets \"integrated out\" because it's just a dummy variable",
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"timestamp": "08/18/2022 19:42:31",
"content": "what does integrated out mean",
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"timestamp": "08/18/2022 19:42:31",
"content": "you can put any other letter instead of t here (except x) and this expression would remain the same",
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"timestamp": "08/18/2022 19:42:48",
"content": "let's say f(t) = t",
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"timestamp": "08/18/2022 19:42:56",
"content": "what's $\\int_a^x f(t) dt=?$",
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"timestamp": "08/18/2022 19:42:58",
"content": "**riemann**",
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"timestamp": "08/18/2022 19:43:29",
"content": "x^2/2",
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"timestamp": "08/18/2022 19:43:37",
"content": "close enough",
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"timestamp": "08/18/2022 19:43:40",
"content": "you see how there's no t?",
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"timestamp": "08/18/2022 19:43:41",
"content": "+C",
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"timestamp": "08/18/2022 19:43:43",
"content": "that's what you did",
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"timestamp": "08/18/2022 19:43:49",
"content": "you \"integrated out\" t",
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"timestamp": "08/18/2022 19:44:00",
"content": "again, read this",
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"timestamp": "08/18/2022 19:44:19",
"content": "i read it, it jsut says what u said",
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"timestamp": "08/18/2022 19:44:24",
"content": "but what does integrated out mean",
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"timestamp": "08/18/2022 19:44:35",
"content": "i just replaced t with x",
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"timestamp": "08/18/2022 19:44:36",
"content": "it's what you did when you calculated this",
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"timestamp": "08/18/2022 19:44:42",
"content": "why did i do that",
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"timestamp": "08/18/2022 19:44:49",
"content": "because you performed the integration",
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"timestamp": "08/18/2022 19:45:15",
"content": "but why am i using the upper bound to do it",
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"timestamp": "08/18/2022 19:45:18",
"content": "what is so special about it",
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"timestamp": "08/18/2022 19:45:49",
"content": "because you're asking about it",
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"timestamp": "08/18/2022 19:46:00",
"content": "you sent this, not me",
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"timestamp": "08/18/2022 19:47:04",
"content": "https://www.youtube.com/watch?v=NbbTPpl5ehY for more examples",
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"timestamp": "08/18/2022 19:48:59",
"content": "i get that alredy",
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"timestamp": "08/18/2022 19:49:04",
"content": "ur missing my oint",
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"id": 1009972240223309800,
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"timestamp": "08/18/2022 19:49:06",
"content": "point",
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"timestamp": "08/18/2022 19:49:14",
"content": "when i want to take the derivative of the integral",
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"timestamp": "08/18/2022 19:49:26",
"content": "why is it in terms of x such that d/dx is used",
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"timestamp": "08/18/2022 19:49:39",
"content": "in my example",
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"timestamp": "08/18/2022 19:49:39",
"content": "what should it be if not x?",
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"timestamp": "08/18/2022 19:49:43",
"content": "you want q?",
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"timestamp": "08/18/2022 19:49:50",
"content": "go ahead. it doesn't change the math",
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"timestamp": "08/18/2022 19:49:53",
"content": "because it's a dummy variable",
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"timestamp": "08/18/2022 19:50:14",
"content": "but then we are taking the derivative in respect to a variable that does not appear in the expression we are taking a derivative of",
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"content": "i'm missing your point because all the answers to your questions are \"it's a dummy variable\"",
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"content": "the x is in the upper limit of the integral",
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"timestamp": "08/18/2022 19:51:08",
"content": "the integral is a function of x",
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"timestamp": "08/18/2022 19:51:18",
"content": "is this not a function of x to you?",
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"timestamp": "08/18/2022 19:52:47",
"content": "x is just a bound though",
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"timestamp": "08/18/2022 19:52:59",
"content": "what does it mean for the integral 'to be a function of' something",
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"timestamp": "08/18/2022 19:53:02",
"content": "it is an upper bound yes, but it's also the variable",
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"timestamp": "08/18/2022 19:54:01",
"content": "but then d/dx means i am taking the derivative in respect to some upper bound",
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"content": "have you seen a proof for this yet?",
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"timestamp": "08/18/2022 19:54:18",
"content": "yes but it's not useful to think of it that way",
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"timestamp": "08/18/2022 19:54:34",
"content": "you need to do order of operations",
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"timestamp": "08/18/2022 19:54:51",
"content": "carry on",
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"timestamp": "08/18/2022 19:54:58",
"content": "just read this\nhttps://tutorial.math.lamar.edu/Classes/CalcI/ProofIntProp.aspx#Extras_IntPf_FToCI",
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"timestamp": "08/18/2022 19:55:15",
"content": "> Fundamental Theorem of Calculus, Part I\nthat section",
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"timestamp": "08/18/2022 19:55:34",
"content": "First bit",
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"timestamp": "08/18/2022 19:56:17",
"content": "ultimately, you need to come to grips with what $g(x)$ is here",
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"timestamp": "08/18/2022 19:56:19",
"content": "**riemann**",
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"timestamp": "08/18/2022 19:57:13",
"content": "for the whole proof you can just take f(t) = t in my example and so g(x) is what calculated already",
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"timestamp": "08/18/2022 19:58:24",
"content": "do would it be incorrect to say g(x) is an antiderivative",
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"timestamp": "08/18/2022 19:58:39",
"content": "since its bounded",
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"timestamp": "08/18/2022 19:58:49",
"content": "and f(t) could have a wider domain",
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"timestamp": "08/18/2022 19:59:36",
"content": "yes g(x) is the antiderivative of f in my example",
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"timestamp": "08/18/2022 19:59:48",
"content": "this is irrelevant",
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"timestamp": "08/18/2022 19:59:58",
"content": "the domain of $f(t) = t$ is $(-\\y, \\y)$",
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"timestamp": "08/18/2022 20:00:09",
"content": "**riemann**",
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"timestamp": "08/18/2022 20:11:34",
"content": ".close",
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] |
help-9
|
9084052c15984c6e9b6d6e44cfdc6b10
|
197,910 |
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 20:12:35",
"content": "Available help channel!",
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"author_id": 422060907259101200,
"author_name": "Sauv",
"timestamp": "08/18/2022 20:20:23",
"content": "need help factoring cubics",
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"timestamp": "08/18/2022 20:21:17",
"content": "i think i kinda got it down but i still need a little help",
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"timestamp": "08/18/2022 20:22:05",
"content": "Well, since every term has an x, you can start by factoring that out.",
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"timestamp": "08/18/2022 20:23:03",
"content": "i think next",
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"timestamp": "08/18/2022 20:23:11",
"content": "i find multiples of 2 that = 3?",
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"author_name": "tatpoj",
"timestamp": "08/18/2022 20:23:45",
"content": "Now you have x(x^2-3x+2) right?",
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"id": 1009981002472509400,
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"timestamp": "08/18/2022 20:23:55",
"content": "ye",
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"content": "=0",
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"author_name": "tatpoj",
"timestamp": "08/18/2022 20:24:10",
"content": "So to factor the quadratic part, yes, if I understand you right",
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"id": 1009981110840733800,
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"author_name": "tatpoj",
"timestamp": "08/18/2022 20:24:21",
"content": "You need two numbers whose product is 2 and whose sum is -3",
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"id": 1009981118746984400,
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"author_name": "Sauv",
"timestamp": "08/18/2022 20:24:23",
"content": "i usually mess up when it comes to the signs",
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"timestamp": "08/18/2022 20:24:36",
"content": "1 and 2 is 3",
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"id": 1009981204013002900,
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"timestamp": "08/18/2022 20:24:43",
"content": "but how do i get it negative",
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"timestamp": "08/18/2022 20:24:48",
"content": "can i just add a random negative sign",
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"timestamp": "08/18/2022 20:25:09",
"content": "No you shouldn't do anything random lol",
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"timestamp": "08/18/2022 20:25:23",
"content": "2*1=2 and 2+1=3. That's close",
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"timestamp": "08/18/2022 20:25:32",
"content": "ok",
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"timestamp": "08/18/2022 20:25:46",
"content": "so i would have",
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"timestamp": "08/18/2022 20:25:49",
"content": "So what could you change to make that -3 instead?",
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"timestamp": "08/18/2022 20:26:02",
"content": "uh",
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"id": 1009981562009419800,
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"timestamp": "08/18/2022 20:26:08",
"content": "-1",
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"id": 1009981567889846400,
"author_id": 422060907259101200,
"author_name": "Sauv",
"timestamp": "08/18/2022 20:26:10",
"content": "?",
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"id": 1009982211669377000,
"author_id": 422060907259101200,
"author_name": "Sauv",
"timestamp": "08/18/2022 20:28:43",
"content": ":flonshed:",
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},
{
"id": 1009982387700109400,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "08/18/2022 20:29:25",
"content": "Just -1?\nDoes -1*2 = 2\nand -1+2=-3\n?",
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"id": 1009982452443402200,
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"timestamp": "08/18/2022 20:29:41",
"content": "no",
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"id": 1009982487197393000,
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"timestamp": "08/18/2022 20:29:49",
"content": "-1 and -2",
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},
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"id": 1009982504717013000,
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"author_name": "tatpoj",
"timestamp": "08/18/2022 20:29:53",
"content": "right",
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},
{
"id": 1009982561763721200,
"author_id": 422060907259101200,
"author_name": "Sauv",
"timestamp": "08/18/2022 20:30:07",
"content": "alright",
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"id": 1009982568529141900,
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"author_name": "Sauv",
"timestamp": "08/18/2022 20:30:08",
"content": "so now",
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"timestamp": "08/18/2022 20:30:29",
"content": "we have x(x-1)(x-2)",
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"id": 1009982659763642400,
"author_id": 422060907259101200,
"author_name": "Sauv",
"timestamp": "08/18/2022 20:30:30",
"content": "?",
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},
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"id": 1009982836134137900,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "08/18/2022 20:31:12",
"content": "Yep",
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},
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"id": 1009982957009764500,
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"author_name": "Sauv",
"timestamp": "08/18/2022 20:31:41",
"content": "this is where idk what to do next",
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},
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"id": 1009983001729433600,
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"timestamp": "08/18/2022 20:31:52",
"content": "well its confusing",
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"timestamp": "08/18/2022 20:39:48",
"content": "i think i got it",
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},
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"timestamp": "08/18/2022 20:39:49",
"content": ".close",
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},
{
"id": 1009985006438985900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 20:39:50",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
a06fcea3686d4221844f6466fd0968a6
|
197,911 |
[
{
"id": 1009985259305189400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 20:40:50",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1009988824476155900,
"author_id": 303017209708412900,
"author_name": "suspense",
"timestamp": "08/18/2022 20:55:00",
"content": "Algebra homework, first class.",
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},
{
"id": 1009988826602676400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 20:55:00",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1009988824476155900,
"channelId": 486844875632017400,
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{
"id": 1009989109839822800,
"author_id": 303017209708412900,
"author_name": "suspense",
"timestamp": "08/18/2022 20:56:08",
"content": "Being A=(1,-3,y) B=(3,x,6) and M the half of the segment AB, find x and y so that B-A-M=(0,6,6)",
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"id": 1009992885598441600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 21:11:08",
"content": "@suspense Has your question been resolved?",
"attachments": [],
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{
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"name": "suspense",
"discriminator": "1986",
"nickname": "suspense",
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],
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},
{
"id": 1009992954242416800,
"author_id": 303017209708412900,
"author_name": "suspense",
"timestamp": "08/18/2022 21:11:25",
"content": "Of course not, no one helped :c",
"attachments": [],
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},
{
"id": 1009993220807213200,
"author_id": 347122115071442940,
"author_name": "Syrenate",
"timestamp": "08/18/2022 21:12:28",
"content": "midpoint of two numbers is just their sum divided by two",
"attachments": [],
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},
{
"id": 1009993303955079300,
"author_id": 347122115071442940,
"author_name": "Syrenate",
"timestamp": "08/18/2022 21:12:48",
"content": "just get m in terms of x and y",
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},
{
"id": 1009993489603383400,
"author_id": 347122115071442940,
"author_name": "Syrenate",
"timestamp": "08/18/2022 21:13:32",
"content": "sub that into the final equation",
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},
{
"id": 1009993535996563500,
"author_id": 347122115071442940,
"author_name": "Syrenate",
"timestamp": "08/18/2022 21:13:43",
"content": "probably gonna be simultaneous equations",
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},
{
"id": 1009993887802196000,
"author_id": 303017209708412900,
"author_name": "suspense",
"timestamp": "08/18/2022 21:15:07",
"content": "something is not adding up tho",
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},
{
"id": 1009994782283677800,
"author_id": 303017209708412900,
"author_name": "suspense",
"timestamp": "08/18/2022 21:18:40",
"content": "B-A = (2,x+3,6-y)\nDivided by two equals [1, (x+3)/2 , (6-y)/2 ]\nAnd if B-A-M has to be equal to (0,6,6) just by looking at the first value ( 0 ) 3-1-1 =/= 0",
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},
{
"id": 1009994963259502800,
"author_id": 303017209708412900,
"author_name": "suspense",
"timestamp": "08/18/2022 21:19:24",
"content": "B's first \"cord\" is 3, A's 1, and M is 1",
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},
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"id": 1009996661348638800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 21:26:08",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
51206c51b4e14fe6b9d0c5492be6c370
|
197,912 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 21:27:09",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1010005737654726800,
"author_id": 784444128954941400,
"author_name": "hiii554",
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"id": 1010005741236670600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/18/2022 22:02:13",
"content": "Pinned a message.",
"attachments": [],
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"id": 1010005804188971000,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:02:28",
"content": "what",
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:02:33",
"content": "",
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"id": 1010005854864539800,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:02:40",
"content": "what have you tried",
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},
{
"id": 1010005891778617300,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:02:49",
"content": "i found the amplitude",
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},
{
"id": 1010005905015853000,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:02:52",
"content": "which is 4",
"attachments": [],
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},
{
"id": 1010005958338027600,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:03:05",
"content": "you can figure out the period too",
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},
{
"id": 1010006017196703700,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:03:19",
"content": "2pi/the b value",
"attachments": [],
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},
{
"id": 1010006071869444100,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:03:32",
"content": "how do i figure that out?",
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},
{
"id": 1010006111996346500,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:03:42",
"content": "do you know what the b value is",
"attachments": [],
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},
{
"id": 1010006348286664700,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:04:38",
"content": "8",
"attachments": [],
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},
{
"id": 1010006394101051400,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:04:49",
"content": "do you know the phase shift",
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{
"id": 1010006444936003600,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:05:01",
"content": "hmm",
"attachments": [],
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},
{
"id": 1010006627820257400,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:05:45",
"content": "3?",
"attachments": [],
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},
{
"id": 1010006706027253800,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:06:03",
"content": "not quite",
"attachments": [],
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},
{
"id": 1010006954904658000,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:07:03",
"content": "basically",
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},
{
"id": 1010007099666858000,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:07:37",
"content": "4",
"attachments": [],
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},
{
"id": 1010007164611469400,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:07:53",
"content": "cause parent function is 0,1",
"attachments": [],
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},
{
"id": 1010007196941156400,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:08:00",
"content": "so you know that the equation is going to be something like acos((2π/b)x-c)+d",
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},
{
"id": 1010007199176741000,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:08:01",
"content": "right",
"attachments": [],
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},
{
"id": 1010007241442742300,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:08:11",
"content": "mhm",
"attachments": [],
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"reference": null
},
{
"id": 1010007424637337600,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:08:55",
"content": "im going to ignore moving up and down right now",
"attachments": [],
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"reference": null
},
{
"id": 1010007437698400400,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:08:58",
"content": "",
"attachments": [
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"id": 1010007436972806300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1010007436972806224/Screen_Shot_2022-08-18_at_10.08.43_PM.png",
"fileName": "Screen_Shot_2022-08-18_at_10.08.43_PM.png",
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{
"id": 1010007536545571000,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:09:21",
"content": "so red is the graph of 4cos((2π/8)x)",
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},
{
"id": 1010007583848935400,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:09:33",
"content": "what would you need to set c to so it ends up as the green graph",
"attachments": [],
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},
{
"id": 1010007652086059100,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:09:49",
"content": "a vertical reflection",
"attachments": [],
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},
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"id": 1010007662110441600,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:09:51",
"content": "-4",
"attachments": [],
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},
{
"id": 1010007737503060100,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:10:09",
"content": "i guess that works but im talking about a phase shift",
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{
"id": 1010007853035176000,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:10:37",
"content": "4",
"attachments": [],
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},
{
"id": 1010007869082566700,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:10:41",
"content": "we need to move it back half a cycle",
"attachments": [],
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},
{
"id": 1010007871116812300,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:10:41",
"content": "-4",
"attachments": [],
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"reference": null
},
{
"id": 1010007906000838700,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:10:49",
"content": "(or forward)",
"attachments": [],
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},
{
"id": 1010008038121406600,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:11:21",
"content": "and a typical cycle of something like sin(x) or cos(x) is 2pi",
"attachments": [],
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},
{
"id": 1010008057440383000,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:11:25",
"content": "right",
"attachments": [],
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},
{
"id": 1010008096871043200,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:11:35",
"content": "Ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1010008165703761900,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:11:51",
"content": "and we need to move it back half of a cycle",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1010008230392504300,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:12:07",
"content": "why back tho?",
"attachments": [],
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},
{
"id": 1010008258326569100,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:12:13",
"content": "i mean it doesnt matter",
"attachments": [],
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},
{
"id": 1010008298499620900,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:12:23",
"content": "you can move it forwards or backwards and you will get the ame things",
"attachments": [],
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},
{
"id": 1010008319437590500,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:12:28",
"content": "cause what i saw is that",
"attachments": [],
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},
{
"id": 1010008336214806700,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:12:32",
"content": "but sure forwards why not",
"attachments": [],
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},
{
"id": 1010008363364528100,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:12:38",
"content": "for 0, y is 1",
"attachments": [],
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},
{
"id": 1010008407849312300,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:12:49",
"content": "and just saw how much that point moves",
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},
{
"id": 1010008478405898200,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:13:06",
"content": "yes but we need y at -1 at that point",
"attachments": [],
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},
{
"id": 1010008579517984900,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:13:30",
"content": "",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1010008578771402843/unknown.png",
"fileName": "unknown.png",
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"id": 1010008588120490000,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:13:32",
"content": "see",
"attachments": [],
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},
{
"id": 1010008609805041800,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:13:37",
"content": "i am aware",
"attachments": [],
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},
{
"id": 1010008743347503200,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:14:09",
"content": "but you need a cosine function, and you need to shift it forwards half a cycle",
"attachments": [],
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},
{
"id": 1010008837870329900,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:14:32",
"content": "ok",
"attachments": [],
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},
{
"id": 1010009053231059000,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:15:23",
"content": "look at the base graph of cos(x)",
"attachments": [],
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},
{
"id": 1010009125486350300,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:15:40",
"content": "what do we need to set c in cos(x-c) to end up with -1 at x=0",
"attachments": [],
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},
{
"id": 1010009316692078600,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:16:26",
"content": "x+1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1010009349604786200,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:16:34",
"content": "what",
"attachments": [],
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"reference": null
},
{
"id": 1010009379338191000,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:16:41",
"content": "no like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1010009427228758100,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:16:52",
"content": "we want cos(x-c)=-1 at x=0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1010009512490565600,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:17:12",
"content": "and to do that, what does c need to be",
"attachments": [],
"mentions": [],
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},
{
"id": 1010009700999385200,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:17:57",
"content": "-1?",
"attachments": [],
"mentions": [],
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},
{
"id": 1010009782767325300,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:18:17",
"content": "look at the image you just sent",
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"id": 1010009825826046100,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:18:27",
"content": "cos(0-(-1)) does not equal -1",
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},
{
"id": 1010009845388284000,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:18:32",
"content": "180",
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{
"id": 1010009918415306900,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:18:49",
"content": "in radians",
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},
{
"id": 1010009992448966800,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:19:07",
"content": "pi",
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},
{
"id": 1010010003215761400,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:19:09",
"content": "yes",
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},
{
"id": 1010010047901872100,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:19:20",
"content": "so now we just need d",
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},
{
"id": 1010010080718115000,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:19:28",
"content": "(4cos((2π/8)x-π)+d)",
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},
{
"id": 1010010320758116400,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:20:25",
"content": "green is the graph we need, and 4cos((2π/8)x-π)+d is the graph we have right now",
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"id": 1010010372012519400,
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"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:20:37",
"content": "so now how much do you need to move it up (aka what is d)",
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"id": 1010010378631127200,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:20:39",
"content": "2 up",
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},
{
"id": 1010010396356255900,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:20:43",
"content": "you got it",
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},
{
"id": 1010010425942880300,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:20:50",
"content": "4cos((2π/8)x-π)+2 is the graph",
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},
{
"id": 1010010522617401300,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:21:13",
"content": "whats x-pi?",
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},
{
"id": 1010010611742159000,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:21:34",
"content": "in terms of what",
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},
{
"id": 1010010633166655500,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:21:40",
"content": "in the function",
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},
{
"id": 1010010653030895600,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:21:44",
"content": "it says x-pi",
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},
{
"id": 1010010663122391200,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:21:47",
"content": "π is your phase shift",
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},
{
"id": 1010010676204421200,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:21:50",
"content": "(-c)",
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},
{
"id": 1010010902424207500,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:22:44",
"content": "sine/cosine functions are transformed as asin((2π/b)x-c)+d or acos((2π/b)x-c)+d",
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},
{
"id": 1010010930261790700,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:22:50",
"content": "can u say pi/4 instead",
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},
{
"id": 1010010993629331600,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:23:05",
"content": "that wont match the graph",
"attachments": [],
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},
{
"id": 1010011058188075100,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:23:21",
"content": "but its equal to 2pi/8, no?",
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},
{
"id": 1010011078245220500,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:23:26",
"content": "oh for b",
"attachments": [],
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},
{
"id": 1010011086558343300,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:23:28",
"content": "yes you can",
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},
{
"id": 1010011332688486400,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:24:26",
"content": "",
"attachments": [
{
"id": 1010011332038377500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1010011332038377472/unknown.png",
"fileName": "unknown.png",
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{
"id": 1010011362681966700,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:24:33",
"content": "is that what it looks like",
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},
{
"id": 1010011389978497200,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:24:40",
"content": "ignore the writing",
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},
{
"id": 1010011412661293200,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:24:45",
"content": "you're missing a parenthesis",
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},
{
"id": 1010011441979478000,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:24:52",
"content": "ok",
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},
{
"id": 1010011513211334700,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:25:09",
"content": "",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1010011512779325580/unknown-5.png",
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"id": 1010011530038886400,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:25:13",
"content": "also im kinda unclear on how u detemrined that the phase shift was 90 degress",
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{
"id": 1010011570891391000,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:25:23",
"content": "ok so",
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},
{
"id": 1010011649563963400,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:25:42",
"content": "you know that 2π is a full cycle",
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},
{
"id": 1010011651136827400,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:25:42",
"content": "right",
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},
{
"id": 1010011855160348700,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:26:31",
"content": "ye",
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},
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"id": 1010011896369401900,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:26:41",
"content": "",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1010011895685722205/Screen_Shot_2022-08-18_at_10.25.51_PM.png",
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{
"id": 1010011931471532200,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:26:49",
"content": "think about it as like",
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},
{
"id": 1010011990074343400,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:27:03",
"content": "\"how much of a cycle do i need to move the graph left or right\"",
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},
{
"id": 1010012022383067300,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:27:11",
"content": "7?",
"attachments": [],
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},
{
"id": 1010012054788247600,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:27:18",
"content": "why is it",
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},
{
"id": 1010012061905993700,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:27:20",
"content": "that wasn't a question",
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},
{
"id": 1010012084144197800,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:27:25",
"content": "until 7",
"attachments": [],
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},
{
"id": 1010012122735988700,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:27:35",
"content": "also i drew the line too far",
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},
{
"id": 1010012123918778400,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:27:35",
"content": "no i was asking lol",
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},
{
"id": 1010012186929791100,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:27:50",
"content": "it should be 2π",
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},
{
"id": 1010012263803003000,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:28:08",
"content": "but basically, imagine like",
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},
{
"id": 1010012317464936600,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:28:21",
"content": "\"i need to move the graph by 1/4th of a cycle to the right\"",
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},
{
"id": 1010012622361473000,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:29:34",
"content": "1/4th of 2π is π/2, so i would need to set the graph to sin(x-π/2)",
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},
{
"id": 1010012822673035400,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:30:22",
"content": "whered u get 1/4?",
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},
{
"id": 1010012918856827000,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:30:44",
"content": "this point is 1/4th of a full cycle",
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"id": 1010013009663504500,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:31:06",
"content": "well technically we wanted this to be at x=0",
"attachments": [
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"id": 1010013110045786200,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:31:30",
"content": "this distance is 1/4th of a full cycle away from 0",
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},
{
"id": 1010013235593875600,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:32:00",
"content": "a full cycle is 2π, so i would need to subtract π/2 from the graph",
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},
{
"id": 1010013335036629100,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:32:24",
"content": "sin(x-(π/2)) when x is 0 is just sin(-π/2)",
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},
{
"id": 1010013449813770400,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:32:51",
"content": "ooof this is kinda confusing. its ok",
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},
{
"id": 1010013489273774200,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:33:00",
"content": "yeah im sorry for not explaining this well",
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},
{
"id": 1010013501177200600,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:33:03",
"content": "no no",
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},
{
"id": 1010013520584261600,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:33:08",
"content": "ur explaining great",
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},
{
"id": 1010013585335914500,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:33:23",
"content": "do u know how to find the diameter",
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},
{
"id": 1010013613714591700,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:33:30",
"content": "diameter?",
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},
{
"id": 1010013623185330200,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:33:32",
"content": "do you mean period",
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},
{
"id": 1010013641472475100,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:33:37",
"content": "the graph represents a water wheel going round and round",
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},
{
"id": 1010013657574412300,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:33:41",
"content": "oh",
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},
{
"id": 1010013678340419700,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:33:46",
"content": "its just the amplitude",
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},
{
"id": 1010013681037365400,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:33:46",
"content": "and it says find the diameter",
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},
{
"id": 1010013707620855800,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:33:53",
"content": "the amplitude is the radius",
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},
{
"id": 1010013730660167700,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:33:58",
"content": "OH",
"attachments": [],
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},
{
"id": 1010013749408710700,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:34:03",
"content": "how?",
"attachments": [],
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},
{
"id": 1010013769193234400,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:34:07",
"content": "so",
"attachments": [],
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"reference": null
},
{
"id": 1010013873635598500,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:34:32",
"content": "think of sin(x) as the height",
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},
{
"id": 1010013932523634700,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:34:46",
"content": "so like",
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},
{
"id": 1010014019475750900,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:35:07",
"content": "",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1010014018783674438/Sinus_und_Kosinus_am_Einheitskreis_1.svg.png",
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{
"id": 1010014092758634600,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:35:24",
"content": "mhm",
"attachments": [],
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},
{
"id": 1010014146496041100,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:35:37",
"content": "so at the very top",
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},
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"id": 1010014180373450800,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:35:45",
"content": "sin(π/2)=1",
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"timestamp": "08/18/2022 22:35:55",
"content": "and what do you know, that's the radius",
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"timestamp": "08/18/2022 22:36:30",
"content": "https://www.youtube.com/watch?v=Q55T6LeTvsA",
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"timestamp": "08/18/2022 22:36:40",
"content": "watch this video and you will see why",
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"id": 1010014421541716100,
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"timestamp": "08/18/2022 22:36:43",
"content": "okk",
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"id": 1010014455305867300,
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:36:51",
"content": "i see",
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{
"id": 1010014490437357700,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:36:59",
"content": "sorry my online teacher did not explain much",
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"id": 1010014507738857600,
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"timestamp": "08/18/2022 22:37:03",
"content": "baha",
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"id": 1010014537879130100,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:37:10",
"content": "so sin(x) is saying like",
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"id": 1010014577003606000,
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"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:37:20",
"content": "at angle x, how high is this point",
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"timestamp": "08/18/2022 22:37:23",
"content": "oh yea in the water wheel a fish is trapper",
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"timestamp": "08/18/2022 22:37:33",
"content": "what",
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"id": 1010014661590126700,
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:37:40",
"content": "and the question asks how long its under the water",
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"timestamp": "08/18/2022 22:37:48",
"content": "that sould be the negative vales",
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"id": 1010014831530741900,
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"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:38:21",
"content": "ok so ive established that this is 1 full cycle",
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"timestamp": "08/18/2022 22:38:52",
"content": "so how many cycles does the fish stay underwater",
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"timestamp": "08/18/2022 22:39:23",
"content": "I presumed for each rotation",
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:39:28",
"content": "that it stays abt 6 seconds under",
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"id": 1010015131255713800,
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"timestamp": "08/18/2022 22:39:32",
"content": "what",
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"id": 1010015163132420100,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:39:40",
"content": "ignore the numbers for now",
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{
"id": 1010015276735139800,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:40:07",
"content": "so the orange line represents 1 cycle",
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},
{
"id": 1010015319756111900,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:40:17",
"content": "think of going around the unit circle once",
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"id": 1010015512446640100,
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:41:03",
"content": "hmm",
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},
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"id": 1010015703056793700,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:41:48",
"content": "now out of the full cycle, how long is the value negative",
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{
"id": 1010015762607505400,
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:42:02",
"content": "1",
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},
{
"id": 1010015788989689900,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:42:09",
"content": "uh",
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},
{
"id": 1010015819956244500,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:42:16",
"content": "2",
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},
{
"id": 1010015820518277100,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:42:16",
"content": "its 1/2",
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{
"id": 1010015830492332000,
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:42:19",
"content": "oh",
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},
{
"id": 1010015837433897100,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:42:20",
"content": "ok",
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},
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"id": 1010015881469894700,
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"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:42:31",
"content": "",
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"timestamp": "08/18/2022 22:42:38",
"content": "looks like 2 tho",
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"id": 1010015981940265100,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:42:55",
"content": "dont pay attention to the numbers",
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},
{
"id": 1010015993025810400,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:42:57",
"content": "i see",
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},
{
"id": 1010016009652019300,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:43:01",
"content": "like",
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},
{
"id": 1010016039586771100,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:43:09",
"content": "i was looking at the neg values on y axis",
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},
{
"id": 1010016079659159700,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:43:18",
"content": "x is time",
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},
{
"id": 1010016122348773400,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:43:28",
"content": "yeah so",
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},
{
"id": 1010016181165498500,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:43:42",
"content": "for half of the cycle in this graph",
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},
{
"id": 1010016205513437300,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:43:48",
"content": "the value of sin(x) is negative",
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{
"id": 1010016236295434400,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:43:55",
"content": "mhm",
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},
{
"id": 1010016277215068300,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:44:05",
"content": "u just need to add that?",
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{
"id": 1010016279597428700,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:44:06",
"content": "and the period is just asking how long 1 cycle is",
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},
{
"id": 1010016298262077400,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:44:10",
"content": "ye",
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},
{
"id": 1010016374833283200,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:44:28",
"content": "8 secs",
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},
{
"id": 1010016422052778100,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:44:40",
"content": "wait can i see the graph for the fish problem",
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},
{
"id": 1010016447424118900,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:44:46",
"content": "to see if im not missing anything",
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"id": 1010016470534725600,
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:44:51",
"content": "",
"attachments": [
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"id": 1010016509025861800,
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"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:45:00",
"content": "oh so thats the water wheel",
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{
"id": 1010016565648969900,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:45:14",
"content": "your teacher just made this problem a lot harder to explain :sully:",
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:45:24",
"content": "",
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"id": 1010016625719791600,
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:45:28",
"content": "is that a cycle",
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{
"id": 1010016636188762100,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:45:31",
"content": "yes",
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"id": 1010016651149840500,
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:45:34",
"content": "k",
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},
{
"id": 1010016691100582000,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:45:44",
"content": "so cant i just add the values for when its under",
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"id": 1010016729956614300,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:45:53",
"content": "yeah you can",
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"id": 1010016761631998100,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:46:01",
"content": "its hard to determine tho",
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},
{
"id": 1010016816527056900,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:46:14",
"content": "i dont think this graph is very nice",
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{
"id": 1010016833899856000,
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:46:18",
"content": "ye",
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},
{
"id": 1010016841156014100,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:46:20",
"content": "so yeah its probably hard",
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{
"id": 1010016852409327600,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:46:22",
"content": "it fugly",
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},
{
"id": 1010016943085990000,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:46:44",
"content": "ill have decimals",
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},
{
"id": 1010017086602490000,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:47:18",
"content": "8.1-6.9",
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"id": 1010017119674568800,
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:47:26",
"content": "+1.1",
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},
{
"id": 1010017129283727400,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:47:28",
"content": "oh wait hang on",
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"id": 1010017195364982900,
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:47:44",
"content": "desmos would help",
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"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:48:04",
"content": "",
"attachments": [
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:48:21",
"content": "but thats not a complete cycle",
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},
{
"id": 1010017460453376100,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:48:47",
"content": "cause u have to extend to next",
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"id": 1010017577872933000,
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"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:49:15",
"content": "",
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"id": 1010017593660297200,
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"timestamp": "08/18/2022 22:49:19",
"content": "so the green is 1 full cycle",
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},
{
"id": 1010017613499334800,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:49:24",
"content": "the blue is when the fish is underwater",
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},
{
"id": 1010017623968333800,
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:49:26",
"content": "mhm",
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},
{
"id": 1010017800837927000,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:50:08",
"content": "dont u need to extend blue more?",
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{
"id": 1010017812389044400,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:50:11",
"content": "oh",
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},
{
"id": 1010017883784482800,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:50:28",
"content": "yeah you just need to figure out how long blue is",
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},
{
"id": 1010017945067471000,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:50:43",
"content": "1.33 first part",
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},
{
"id": 1010017985550889100,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:50:52",
"content": "but the 2nd blue line needs to be more",
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"timestamp": "08/18/2022 22:51:01",
"content": "dont look at like",
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"id": 1010018109006037000,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:51:22",
"content": "i just did it to show you what i mean",
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"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:51:24",
"content": "it's not exact",
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"id": 1010018184461561900,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:51:40",
"content": "its meant to help you get a good idea of what you should be looking at",
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"id": 1010018247069933700,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:51:55",
"content": "yes",
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{
"id": 1010018327608967200,
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:52:14",
"content": "i just meant if u extend it",
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{
"id": 1010018340951036000,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:52:17",
"content": "thats the full time",
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},
{
"id": 1010018662536728600,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:53:34",
"content": "wait is your teacher asking for like",
"attachments": [],
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},
{
"id": 1010018677250326700,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:53:37",
"content": "over 16 seconds",
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{
"id": 1010018720606847000,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:53:48",
"content": "no",
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},
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"id": 1010018746531860600,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:53:54",
"content": "just how long the fishy underwater",
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"id": 1010018755260190700,
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:53:56",
"content": "in cycle",
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},
{
"id": 1010018864475684900,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:54:22",
"content": "the cycle starts at x=0 and ends at x=8",
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"id": 1010018919735627800,
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"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:54:35",
"content": "extending the blue means we're entering another cycle",
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"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:54:54",
"content": "",
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"timestamp": "08/18/2022 22:54:59",
"content": "this is 1 cycle",
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{
"id": 1010019057292025900,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:55:08",
"content": "8-667",
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"id": 1010019075600163000,
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:55:12",
"content": "+1.333",
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{
"id": 1010019083833593900,
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:55:14",
"content": "ye",
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"id": 1010019100740817000,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:55:18",
"content": "oh",
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{
"id": 1010019101982326900,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:55:19",
"content": "yeah it's just",
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{
"id": 1010019113462149200,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:55:21",
"content": "4/3 + 4/3",
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{
"id": 1010019223856234600,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:55:48",
"content": "the fish stays underwater for 8/3 (2.666...) seconds over 1 cycle",
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{
"id": 1010019281221734400,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:56:01",
"content": "2.66 secs",
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},
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"id": 1010019323110228000,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:56:11",
"content": "yeah",
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{
"id": 1010019330018263200,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:56:13",
"content": "you got it",
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{
"id": 1010019337987444700,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:56:15",
"content": "nicee",
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},
{
"id": 1010019368157073500,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:56:22",
"content": "whered u get that 4/3",
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{
"id": 1010019394719588400,
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"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:56:28",
"content": "4/3 = 1.333...",
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{
"id": 1010019538856837100,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:57:03",
"content": "the other 4/3?",
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},
{
"id": 1010019580569194500,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:57:13",
"content": "that comes from the second part",
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"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:57:28",
"content": "",
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"id": 1010019660252590100,
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"timestamp": "08/18/2022 22:57:32",
"content": "ok",
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"id": 1010019671048724500,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:57:34",
"content": "this is symmetrical",
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"id": 1010019705836281900,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:57:43",
"content": "so instead of doing 8-6.667",
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"id": 1010019748920176800,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:57:53",
"content": "we already have the blue length",
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"id": 1010019770738950100,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:57:58",
"content": "so why dont we just multiply it by 2",
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"id": 1010019783674171500,
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:58:01",
"content": "yes",
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{
"id": 1010019818822451200,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:58:10",
"content": "ur amazing! tysm",
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{
"id": 1010019830109327500,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:58:12",
"content": "and thats where the other 4/3 comes in",
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"id": 1010019833057923200,
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"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:58:13",
"content": "np",
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"id": 1010019860606103600,
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:58:20",
"content": "for ur patience as well lol",
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"id": 1010019941547782300,
"author_id": 784444128954941400,
"author_name": "hiii554",
"timestamp": "08/18/2022 22:58:39",
"content": "amp is 16 btw, ye?",
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"id": 1010019991506137200,
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:58:51",
"content": "8",
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{
"id": 1010019999928295400,
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:58:53",
"content": "Sorry",
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},
{
"id": 1010020079540383900,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:59:12",
"content": "the amplitude is 4",
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{
"id": 1010020124754972700,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:59:23",
"content": "just imagine a circle",
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{
"id": 1010020127955235000,
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:59:23",
"content": "sorry i meant diameter",
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"id": 1010020143369302000,
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"timestamp": "08/18/2022 22:59:27",
"content": "which is 4*2",
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"id": 1010020145290297300,
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"timestamp": "08/18/2022 22:59:27",
"content": "yes 8",
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"timestamp": "08/18/2022 22:59:31",
"content": "OKK nice",
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"id": 1010020252593164300,
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"author_name": "hiii554",
"timestamp": "08/18/2022 22:59:53",
"content": "ty!! have a great day!",
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"id": 1010020272058933200,
"author_id": 249995298632368130,
"author_name": "Cat Bread",
"timestamp": "08/18/2022 22:59:58",
"content": "you too",
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"timestamp": "08/18/2022 23:14:53",
"content": "@hiii554 Has your question been resolved?",
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"timestamp": "08/18/2022 23:27:57",
"content": "Channel closed",
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}
] |
help-9
|
5dece778e7cc40ea8f5b64792a48f90f
|
197,913 |
[
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"id": 1010032943516876800,
"author_id": 805217272087838700,
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"timestamp": "08/18/2022 23:50:19",
"content": "Available help channel!",
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},
{
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"content": "Pinned a message.",
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"timestamp": "08/18/2022 23:54:44",
"content": "hello can i ask why my inverse function is wrong from the given instruction",
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"content": "this is my inverse",
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"content": "@skitz Has your question been resolved?",
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}
] |
help-9
|
6eea0c8b3cdb4737b77f9521a92a2293
|
197,914 |
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"content": "Pinned a message.",
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"timestamp": "08/19/2022 00:48:50",
"content": "How would I distribute this",
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"content": "I’m just having trouble like does x times 1 equal x^2 or 2x",
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"content": "Or just x",
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"content": "You can start from (x+1)(x+1) and solve that normally like you did with the left side, or (better way) you can use the fact that (a±b)²=a²±2ab+b²",
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"content": "Yea I was trying to like first side but when I do x times 1 does that just make an x?",
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"timestamp": "08/19/2022 00:51:38",
"content": "Doesn’t do anything?",
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"content": "x times 1 is x",
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"id": 1010049133651959800,
"author_id": 695346386002116600,
"author_name": "qt_ark",
"timestamp": "08/19/2022 00:54:39",
"content": "To this?",
"attachments": [],
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},
{
"id": 1010049205366173700,
"author_id": 733586866003116000,
"author_name": "Andrea276",
"timestamp": "08/19/2022 00:54:56",
"content": "Why did you put an equal sign in the middle?",
"attachments": [],
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},
{
"id": 1010049259686592500,
"author_id": 695346386002116600,
"author_name": "qt_ark",
"timestamp": "08/19/2022 00:55:09",
"content": "Times*",
"attachments": [],
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},
{
"id": 1010049274177925100,
"author_id": 695346386002116600,
"author_name": "qt_ark",
"timestamp": "08/19/2022 00:55:12",
"content": "Srry habit",
"attachments": [],
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},
{
"id": 1010049398186704900,
"author_id": 733586866003116000,
"author_name": "Andrea276",
"timestamp": "08/19/2022 00:55:42",
"content": "You have x²+x*x+1?",
"attachments": [],
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},
{
"id": 1010049423251869700,
"author_id": 695346386002116600,
"author_name": "qt_ark",
"timestamp": "08/19/2022 00:55:48",
"content": "Yes",
"attachments": [],
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},
{
"id": 1010049460379865100,
"author_id": 733586866003116000,
"author_name": "Andrea276",
"timestamp": "08/19/2022 00:55:57",
"content": "That's wrong",
"attachments": [],
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},
{
"id": 1010049612301729800,
"author_id": 695346386002116600,
"author_name": "qt_ark",
"timestamp": "08/19/2022 00:56:33",
"content": "How would it be?",
"attachments": [],
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},
{
"id": 1010049827121397800,
"author_id": 733586866003116000,
"author_name": "Andrea276",
"timestamp": "08/19/2022 00:57:24",
"content": "(x+1)(x+1)\n(x\\*x)+(x\\*1)+(1\\*x)+(1\\*1)\nx²+x+x+1\nx²+2x+1",
"attachments": [],
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},
{
"id": 1010049938073337900,
"author_id": 733586866003116000,
"author_name": "Andrea276",
"timestamp": "08/19/2022 00:57:51",
"content": "You did the exact same thing for (x+7)(x-2) correctly",
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{
"id": 1010050060928692200,
"author_id": 695346386002116600,
"author_name": "qt_ark",
"timestamp": "08/19/2022 00:58:20",
"content": "Yea it’s just the x’s and 1’s confuse me since they both equal 1",
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"author_name": "Andrea276",
"timestamp": "08/19/2022 00:58:42",
"content": "Btw, if you have (a+b)² you can use this:\n(a+b)²=a²+2ab+b²\nWhich is way faster.\nSo: (x+1)²=x²+2x+1",
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"author_name": "Andrea276",
"timestamp": "08/19/2022 00:58:52",
"content": "x is not equal to 1",
"attachments": [],
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"id": 1010050211042832400,
"author_id": 733586866003116000,
"author_name": "Andrea276",
"timestamp": "08/19/2022 00:58:56",
"content": "x is just x",
"attachments": [],
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},
{
"id": 1010050607207424000,
"author_id": 695346386002116600,
"author_name": "qt_ark",
"timestamp": "08/19/2022 01:00:30",
"content": "Ok, and the formula will always work?",
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},
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"id": 1010050746189885400,
"author_id": 733586866003116000,
"author_name": "Andrea276",
"timestamp": "08/19/2022 01:01:03",
"content": "Yes",
"attachments": [],
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},
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"id": 1010051309510074400,
"author_id": 695346386002116600,
"author_name": "qt_ark",
"timestamp": "08/19/2022 01:03:18",
"content": "",
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"fileName": "IMG_8108.jpg",
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"id": 1010051324785742000,
"author_id": 695346386002116600,
"author_name": "qt_ark",
"timestamp": "08/19/2022 01:03:21",
"content": "^",
"attachments": [],
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},
{
"id": 1010051332100599800,
"author_id": 695346386002116600,
"author_name": "qt_ark",
"timestamp": "08/19/2022 01:03:23",
"content": "?",
"attachments": [],
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"id": 1010051478486003700,
"author_id": 733586866003116000,
"author_name": "Andrea276",
"timestamp": "08/19/2022 01:03:58",
"content": "Correct",
"attachments": [],
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},
{
"id": 1010051630303035400,
"author_id": 695346386002116600,
"author_name": "qt_ark",
"timestamp": "08/19/2022 01:04:34",
"content": "Ok thankyou",
"attachments": [],
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},
{
"id": 1010051682232709200,
"author_id": 733586866003116000,
"author_name": "Andrea276",
"timestamp": "08/19/2022 01:04:46",
"content": "Yw",
"attachments": [],
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},
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/19/2022 01:19:34",
"content": "@qt_ark Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "08/19/2022 01:19:45",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
85f88eb56ddb4f508cb3e2059ec1f5d9
|
197,915 |
[
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"id": 959893293548838900,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "04/02/2022 15:13:15",
"content": "ty but gonna remove the pic",
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},
{
"id": 959893339992391700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/02/2022 15:13:26",
"content": "That was just now?",
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},
{
"id": 959893420745314300,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "04/02/2022 15:13:45",
"content": "yes",
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},
{
"id": 959894729074557000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 15:18:57",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 959894943550304400,
"author_id": 432216491983765500,
"author_name": "deneese",
"timestamp": "04/02/2022 15:19:48",
"content": "i am given that it is a real number and need to find what it is",
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"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 15:19:49",
"content": "Pinned a message.",
"attachments": [],
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"author_id": 432216491983765500,
"author_name": "deneese",
"timestamp": "04/02/2022 15:19:54",
"content": "can anyone help me",
"attachments": [],
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},
{
"id": 959896423694999600,
"author_id": 432216491983765500,
"author_name": "deneese",
"timestamp": "04/02/2022 15:25:41",
"content": "@Helpers",
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},
{
"id": 959897367153348600,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/02/2022 15:29:26",
"content": "Looks a bit like π/5 or π/12?",
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},
{
"id": 959899848608456800,
"author_id": 432216491983765500,
"author_name": "deneese",
"timestamp": "04/02/2022 15:39:17",
"content": "you dont know which one?",
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"id": 959901222276575200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/02/2022 15:44:45",
"content": "Write it in polar coordinates",
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"id": 959901305286033400,
"author_id": 432216491983765500,
"author_name": "deneese",
"timestamp": "04/02/2022 15:45:05",
"content": "i took the magnitude of the expression",
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},
{
"id": 959901342799900700,
"author_id": 432216491983765500,
"author_name": "deneese",
"timestamp": "04/02/2022 15:45:14",
"content": "getting the square root of 1 which is equal to 1",
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},
{
"id": 959901426451099600,
"author_id": 432216491983765500,
"author_name": "deneese",
"timestamp": "04/02/2022 15:45:34",
"content": "and since there is only one positive real number with magnitude 1, being 1 itself",
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},
{
"id": 959901513969463300,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/02/2022 15:45:55",
"content": "There's two. -1 does as well.",
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},
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"id": 959901577806770200,
"author_id": 432216491983765500,
"author_name": "deneese",
"timestamp": "04/02/2022 15:46:10",
"content": "1 was correct",
"attachments": [],
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},
{
"id": 959901588883923000,
"author_id": 432216491983765500,
"author_name": "deneese",
"timestamp": "04/02/2022 15:46:12",
"content": "-1 wasnt",
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},
{
"id": 959901630667587600,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/02/2022 15:46:22",
"content": "Sick, glad you got it",
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},
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"id": 959901701366775800,
"author_id": 432216491983765500,
"author_name": "deneese",
"timestamp": "04/02/2022 15:46:39",
"content": "thanks for ur help @Kaynex @riemann",
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"id": 959901729825124400,
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"timestamp": "04/02/2022 15:46:46",
"content": "stay 🐐",
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},
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"id": 959901736460513400,
"author_id": 432216491983765500,
"author_name": "deneese",
"timestamp": "04/02/2022 15:46:48",
"content": ".close",
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},
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"id": 959901737760735200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 15:46:48",
"content": "Channel closed",
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}
] |
help-9
|
a9f558571d4c475381d9f8f665b150b0
|
197,916 |
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{
"id": 1010055706801623200,
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"author_name": "Mathematics Bot",
"timestamp": "08/19/2022 01:20:46",
"content": "Available help channel!",
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},
{
"id": 1010058653262417900,
"author_id": 291434927092793340,
"author_name": "Zenith",
"timestamp": "08/19/2022 01:32:28",
"content": "I don’t know how to do this",
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"content": "Pinned a message.",
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"author_name": "Zenith",
"timestamp": "08/19/2022 01:32:39",
"content": "I tired this but it’s not working",
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},
{
"id": 1010058742009692300,
"author_id": 291434927092793340,
"author_name": "Zenith",
"timestamp": "08/19/2022 01:32:50",
"content": "Idk what I did wrong",
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},
{
"id": 1010061939705126900,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "08/19/2022 01:45:32",
"content": "This should be interpreted to mean that F(x/y) has the independent variable x/y not F(x/y) = F * (x/y).",
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"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "08/19/2022 01:45:54",
"content": "I think this is what you've done for f_x.",
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{
"id": 1010062177270517800,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "08/19/2022 01:46:29",
"content": "By the chain rule, f_x = y F_1(x/y) * (1/y). Where F_1 should be interpreted as being differentiate with respect to x/y in this case.",
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"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "08/19/2022 01:47:23",
"content": "f_x = F_1 is how I write it in my work.\nFor f_xx you should obtain f_xx = F_11/y.",
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"id": 1010062502748500000,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "08/19/2022 01:47:46",
"content": "I'll leave you to try f_y and f_yy since they are more challenging.",
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"timestamp": "08/19/2022 01:52:47",
"content": "@Zenith Has your question been resolved?",
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"author_name": "Zenith",
"timestamp": "08/19/2022 01:57:12",
"content": "Like this?",
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"id": 1010065293294452700,
"author_id": 291434927092793340,
"author_name": "Zenith",
"timestamp": "08/19/2022 01:58:52",
"content": "Doesn’t seem to add up",
"attachments": [],
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},
{
"id": 1010065318128914400,
"author_id": 291434927092793340,
"author_name": "Zenith",
"timestamp": "08/19/2022 01:58:57",
"content": "Did I do something wrong again",
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"id": 1010065746488987600,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "08/19/2022 02:00:40",
"content": "Just checking.",
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{
"id": 1010065784569090000,
"author_id": 291434927092793340,
"author_name": "Zenith",
"timestamp": "08/19/2022 02:00:49",
"content": "This way I get f_xx = x^2 f_yy",
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"id": 1010065998323404800,
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"author_name": "Zenith",
"timestamp": "08/19/2022 02:01:40",
"content": "Wait a sec",
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},
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"content": "",
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"author_name": "Zenith",
"timestamp": "08/19/2022 02:03:21",
"content": "Oh right",
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},
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"id": 1010066500515795000,
"author_id": 291434927092793340,
"author_name": "Zenith",
"timestamp": "08/19/2022 02:03:39",
"content": "That makes sense now",
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"timestamp": "08/19/2022 02:03:40",
"content": "Thanks",
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},
{
"id": 1010067526115401900,
"author_id": 234339303944224770,
"author_name": "stabulo",
"timestamp": "08/19/2022 02:07:44",
"content": "You got the problem solved now?",
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"timestamp": "08/19/2022 02:07:47",
"content": "Channel closed",
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}
] |
help-9
|
a3faf8e6df734d2aa724aa69060bfaeb
|
197,917 |
[
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"timestamp": "08/19/2022 06:35:49",
"content": "Available help channel!",
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}
] |
help-9
|
9b93a21181814c20aeda225784e03cdc
|
197,918 |
[
{
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"author_name": "Mathematics Bot",
"timestamp": "08/19/2022 07:05:24",
"content": "Available help channel!",
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},
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"id": 1010146498828304500,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/19/2022 07:21:32",
"content": "consider the discriminant",
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"author_name": "KhanMarx",
"timestamp": "08/19/2022 07:21:35",
"content": "I have gotten up to the step where the discriminant has to be p(9p+32)",
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"id": 1010146537839534100,
"author_id": 839316070816677900,
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"timestamp": "08/19/2022 07:21:42",
"content": "<0",
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"id": 1010146636116279300,
"author_id": 839316070816677900,
"author_name": "KhanMarx",
"timestamp": "08/19/2022 07:22:05",
"content": "Do not understand how to solve for values of p",
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"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/19/2022 07:22:50",
"content": "note that p(9p+32) is a quadratic",
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"id": 1010146880216383600,
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"timestamp": "08/19/2022 07:23:03",
"content": "it also has a positive leading coefficient",
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"id": 1010147021144989800,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/19/2022 07:23:37",
"content": "so you are looking for every value of p inside the green",
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"timestamp": "08/19/2022 07:24:34",
"content": "the value range for p must make the discriminant<0",
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"timestamp": "08/19/2022 07:25:28",
"content": "so one answer would be p<0",
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"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/19/2022 07:25:43",
"content": "yeah",
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"author_name": "Toby",
"timestamp": "08/19/2022 07:25:55",
"content": "and then you need to find the other root of the quadratic",
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"author_name": "KhanMarx",
"timestamp": "08/19/2022 07:26:14",
"content": "p<-32/9?",
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"id": 1010147698558636000,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/19/2022 07:26:18",
"content": "no",
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"id": 1010147804032798700,
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"author_name": "Toby",
"timestamp": "08/19/2022 07:26:44",
"content": "that would look like this:",
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"id": 1010147840351281200,
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"author_name": "Toby",
"timestamp": "08/19/2022 07:26:52",
"content": "we want when the quadratic is below 0",
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"timestamp": "08/19/2022 07:26:56",
"content": "so in between the two roots",
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"id": 1010147892943654900,
"author_id": 839316070816677900,
"author_name": "KhanMarx",
"timestamp": "08/19/2022 07:27:05",
"content": "if 9p+32<0",
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"id": 1010148027450794000,
"author_id": 839316070816677900,
"author_name": "KhanMarx",
"timestamp": "08/19/2022 07:27:37",
"content": "then 9p<-32",
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"id": 1010148038129496000,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/19/2022 07:27:39",
"content": "but when 9p+32<0, p<0 as well. So the whole thing would be positive",
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"id": 1010148215070412800,
"author_id": 839316070816677900,
"author_name": "KhanMarx",
"timestamp": "08/19/2022 07:28:22",
"content": "does the inequality sign change when dividing a negative number or does it stay the same?",
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},
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"id": 1010148373086621700,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/19/2022 07:28:59",
"content": "it switches",
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"author_id": 839316070816677900,
"author_name": "KhanMarx",
"timestamp": "08/19/2022 07:29:24",
"content": "Oh i forgot about that.",
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"author_id": 839316070816677900,
"author_name": "KhanMarx",
"timestamp": "08/19/2022 07:29:27",
"content": "thankyou",
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{
"id": 1010148569669455900,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/19/2022 07:29:46",
"content": "dunno why thats relevant here though",
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"author_id": 839316070816677900,
"author_name": "KhanMarx",
"timestamp": "08/19/2022 07:30:32",
"content": "because i was confused why the inequality sign changed, i was under the impression that 9p<-32=p<-32/9",
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"id": 1010148857604227100,
"author_id": 839316070816677900,
"author_name": "KhanMarx",
"timestamp": "08/19/2022 07:30:55",
"content": "hence the confusion over the answer -32/9<p<0",
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"author_name": "Toby",
"timestamp": "08/19/2022 07:31:33",
"content": "this is correct if we were to solve that inequality",
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"author_name": "Toby",
"timestamp": "08/19/2022 07:31:52",
"content": "but here, we want 9p+32>0",
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{
"id": 1010149121757282300,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/19/2022 07:31:58",
"content": "so p>-32/9",
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},
{
"id": 1010149504403652600,
"author_id": 839316070816677900,
"author_name": "KhanMarx",
"timestamp": "08/19/2022 07:33:29",
"content": "i thought the inequality was p(9p+32)<0 so wouldnt that imply 9p+32<0 aswell?",
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{
"id": 1010149562087899300,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/19/2022 07:33:43",
"content": "we want the signs of p and 9p+32 to be oppositie",
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},
{
"id": 1010149828623339500,
"author_id": 764959481070616600,
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"content": "",
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"timestamp": "08/19/2022 07:35:01",
"content": "p is negative when p<0",
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},
{
"id": 1010149927067861000,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/19/2022 07:35:10",
"content": "9p+32 is positive when p>-32/9",
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},
{
"id": 1010149964548145200,
"author_id": 839316070816677900,
"author_name": "KhanMarx",
"timestamp": "08/19/2022 07:35:19",
"content": "whats this method called?",
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},
{
"id": 1010149979295334500,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/19/2022 07:35:22",
"content": "idk",
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},
{
"id": 1010150053131866100,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/19/2022 07:35:40",
"content": "maybe something to do with solving a quadratic inequality",
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},
{
"id": 1010150092839329900,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/19/2022 07:35:49",
"content": "https://www.mathsisfun.com/algebra/inequality-quadratic-solving.html",
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},
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"id": 1010150210569244800,
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"timestamp": "08/19/2022 07:36:17",
"content": "thanks",
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},
{
"id": 1010150544234533000,
"author_id": 839316070816677900,
"author_name": "KhanMarx",
"timestamp": "08/19/2022 07:37:37",
"content": "i think i understand why one answer needs to be positive and one negative as a negative answer is required",
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"id": 1010153024427147300,
"author_id": 839316070816677900,
"author_name": "KhanMarx",
"timestamp": "08/19/2022 07:47:28",
"content": "ok i understand now thankyou",
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"id": 1010153475671347200,
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"timestamp": "08/19/2022 07:49:16",
"content": "np",
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"author_id": 839316070816677900,
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"timestamp": "08/19/2022 07:50:37",
"content": ".close",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/19/2022 07:50:38",
"content": "Channel closed",
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}
] |
help-9
|
669425f132f740d28cd131192a23bc63
|
197,919 |
[
{
"id": 1010154071937790000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/19/2022 07:51:38",
"content": "Available help channel!",
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},
{
"id": 1010166033706930200,
"author_id": 646427249410572300,
"author_name": "moash",
"timestamp": "08/19/2022 08:39:10",
"content": "hey",
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},
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"timestamp": "08/19/2022 08:39:37",
"content": "0 and 1 => 0",
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},
{
"id": 1010166164904738800,
"author_id": 646427249410572300,
"author_name": "moash",
"timestamp": "08/19/2022 08:39:41",
"content": "0 and 2=> 1",
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},
{
"id": 1010166204150841300,
"author_id": 646427249410572300,
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"timestamp": "08/19/2022 08:39:51",
"content": "1 and 0 => 2",
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},
{
"id": 1010166240666452100,
"author_id": 646427249410572300,
"author_name": "moash",
"timestamp": "08/19/2022 08:39:59",
"content": "2 and 0 =>3",
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},
{
"id": 1010166284098469900,
"author_id": 646427249410572300,
"author_name": "moash",
"timestamp": "08/19/2022 08:40:10",
"content": "i need to get the number on the right",
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},
{
"id": 1010166310983962600,
"author_id": 646427249410572300,
"author_name": "moash",
"timestamp": "08/19/2022 08:40:16",
"content": "from the numbers on the left",
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},
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"id": 1010166357620432900,
"author_id": 646427249410572300,
"author_name": "moash",
"timestamp": "08/19/2022 08:40:27",
"content": "but i need a general formula that would work for the 4 cases",
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},
{
"id": 1010166558003318900,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "08/19/2022 08:41:15",
"content": "What do you mean by this?",
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},
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"author_name": "moash",
"timestamp": "08/19/2022 08:41:28",
"content": "that wouldn't work",
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"timestamp": "08/19/2022 08:41:50",
"content": "0&2 would be 0 not 1",
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"id": 1010166785833717800,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/19/2022 08:42:09",
"content": "so you just want any function",
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},
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"id": 1010166901126733800,
"author_id": 646427249410572300,
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"timestamp": "08/19/2022 08:42:37",
"content": "any function that would get me the num on the right based on the numbers on the left",
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"id": 1010166966348161000,
"author_id": 646427249410572300,
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"timestamp": "08/19/2022 08:42:52",
"content": "any general formula",
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},
{
"id": 1010167147714052200,
"author_id": 646427249410572300,
"author_name": "moash",
"timestamp": "08/19/2022 08:43:36",
"content": "like",
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},
{
"id": 1010167180475781100,
"author_id": 646427249410572300,
"author_name": "moash",
"timestamp": "08/19/2022 08:43:43",
"content": "f(0,1)=0",
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},
{
"id": 1010167198091853800,
"author_id": 646427249410572300,
"author_name": "moash",
"timestamp": "08/19/2022 08:43:48",
"content": "f(0,2)=1",
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},
{
"id": 1010167208384680000,
"author_id": 646427249410572300,
"author_name": "moash",
"timestamp": "08/19/2022 08:43:50",
"content": "and so forth",
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"timestamp": "08/19/2022 08:44:13",
"content": "wdym",
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"timestamp": "08/19/2022 08:44:49",
"content": "lol",
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"author_name": "moash",
"timestamp": "08/19/2022 08:45:01",
"content": "is it you from yesterday lol",
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"timestamp": "08/19/2022 08:45:17",
"content": "??",
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"id": 1010167597645451300,
"author_id": 646427249410572300,
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"timestamp": "08/19/2022 08:45:23",
"content": "oh",
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"timestamp": "08/19/2022 08:45:28",
"content": "i asked the same q yesterday",
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"id": 1010167666201342000,
"author_id": 646427249410572300,
"author_name": "moash",
"timestamp": "08/19/2022 08:45:39",
"content": "and ppl answered but i still haven't figured it out",
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"id": 1010167713685057500,
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"timestamp": "08/19/2022 08:45:50",
"content": "i thought u were one of the ppl that answered my q",
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"timestamp": "08/19/2022 08:45:52",
"content": "anyways",
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"author_id": 646427249410572300,
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"timestamp": "08/19/2022 08:57:25",
"content": "anyone?",
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"author_name": "moash",
"timestamp": "08/19/2022 09:02:35",
"content": ".close",
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"content": "Channel closed",
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] |
help-9
|
56d61572e15346a787038ddfdb34e967
|
197,920 |
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"id": 1010172181247963300,
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"timestamp": "08/19/2022 09:03:36",
"content": "Available help channel!",
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"id": 1010176727550529500,
"author_id": 988823082414272600,
"author_name": "AstsuMariana",
"timestamp": "08/19/2022 09:21:40",
"content": "I wanted to confirm that in this question we have to find the possible values of x so we cannot just divide by cosx both sides and get tan(x) > 1 because cos(x) might be neg also",
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"timestamp": "08/19/2022 09:22:29",
"content": "If we wanted to do by that method then, we will need to assume cosx to be first pos then neg and then take intersection of solutions sets right?",
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"timestamp": "08/19/2022 09:22:57",
"content": "this relation is wrong 💀",
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"author_name": "AstsuMariana",
"timestamp": "08/19/2022 09:23:09",
"content": "But the easier method is to just plot both sinx and cosx and then select sinx which greater than cosx",
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"timestamp": "08/19/2022 09:23:16",
"content": "how",
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"author_id": 988823082414272600,
"author_name": "AstsuMariana",
"timestamp": "08/19/2022 09:23:38",
"content": "tanx > 1 is wrong i know",
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"id": 1010177251016462500,
"author_id": 988823082414272600,
"author_name": "AstsuMariana",
"timestamp": "08/19/2022 09:23:44",
"content": "just want to confirm",
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"author_id": 718461587236716500,
"author_name": "NEONPerseus",
"timestamp": "08/19/2022 09:24:10",
"content": "See the values for Sin 30 degrees and Cos 30 degrees",
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"id": 1010177470823153700,
"author_id": 988823082414272600,
"author_name": "AstsuMariana",
"timestamp": "08/19/2022 09:24:37",
"content": "we have to find the values that satisfy the eqn lol",
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"id": 1010177478343540900,
"author_id": 715875286041886800,
"author_name": "Akise",
"timestamp": "08/19/2022 09:24:39",
"content": "no, it's not an identity, we have to find possible values of x for which it is true",
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"timestamp": "08/19/2022 09:24:45",
"content": "Ahh mb",
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"author_name": "Akise",
"timestamp": "08/19/2022 09:25:13",
"content": "no, it's true for x in pie/4 to pie/2",
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"author_name": "AstsuMariana",
"timestamp": "08/19/2022 09:26:01",
"content": "yes but the complete solution set is (pie/4, pie/2) U (5pie/4, 3pie/2)",
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"author_name": "AstsuMariana",
"timestamp": "08/19/2022 09:26:22",
"content": "But not every val in this interval will satisfy sinx > cosx",
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"author_id": 988823082414272600,
"author_name": "AstsuMariana",
"timestamp": "08/19/2022 09:26:26",
"content": "ryt?",
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"id": 1010178056045994100,
"author_id": 988823082414272600,
"author_name": "AstsuMariana",
"timestamp": "08/19/2022 09:26:56",
"content": "coz if sinx > cosx then tanx > 1 is incomplete statement ryt?",
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"author_name": "Akise",
"timestamp": "08/19/2022 09:27:37",
"content": "yes it doesn't imply that",
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"author_name": "Akise",
"timestamp": "08/19/2022 09:28:58",
"content": "sinx is negative in 4th quad and cosx is positive, so let's forget about that one",
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"author_name": "AstsuMariana",
"timestamp": "08/19/2022 09:29:10",
"content": "and that is because cosx can both be negative or positive and dividing both sides by a neg inverts the sign of inequality?",
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"timestamp": "08/19/2022 09:29:44",
"content": "so if cosx is neg then tanx can also be less than 1",
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"timestamp": "08/19/2022 09:29:46",
"content": "ryt?",
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"author_id": 715875286041886800,
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"timestamp": "08/19/2022 09:29:54",
"content": "yes and it can be 0 too",
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"timestamp": "08/19/2022 09:30:02",
"content": "okay, understood",
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"timestamp": "08/19/2022 09:30:03",
"content": "thanks",
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},
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"author_name": "AstsuMariana",
"timestamp": "08/19/2022 09:30:04",
"content": ".close",
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"timestamp": "08/19/2022 09:30:05",
"content": "Channel closed",
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] |
help-9
|
df06dbe85cdb49cab7e05492e993006d
|
197,921 |
[
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"timestamp": "08/19/2022 09:31:42",
"content": "Available help channel!",
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},
{
"id": 1010184489147842700,
"author_id": 358857302721429500,
"author_name": "Lionel Nero » Kosaka Wakamo",
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"author_id": 358857302721429500,
"author_name": "Lionel Nero » Kosaka Wakamo",
"timestamp": "08/19/2022 09:52:48",
"content": "i halfly understand the question and the formula here.",
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"id": 1010185021191098400,
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"timestamp": "08/19/2022 09:54:37",
"content": "distance = speed X time",
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"author_name": "Lionel Nero » Kosaka Wakamo",
"timestamp": "08/19/2022 09:56:17",
"content": "ahh so distance = 70(2)? is it still the same as 55(2) is it right or it will be different?",
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"timestamp": "08/19/2022 09:56:50",
"content": "70(2)= 55(2) + a",
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"author_name": "Lionel Nero » Kosaka Wakamo",
"timestamp": "08/19/2022 09:57:52",
"content": "i see if thats the case should i multiply both of them by 2 and? is it now equal to a?",
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"timestamp": "08/19/2022 09:58:25",
"content": "what why",
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"author_name": "Lionel Nero » Kosaka Wakamo",
"timestamp": "08/19/2022 09:59:08",
"content": "oh its i don't know if its the answer of the thing after that but i guess im wrong since im a bit confused there.",
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"id": 1010186237568614500,
"author_id": 358857302721429500,
"author_name": "Lionel Nero » Kosaka Wakamo",
"timestamp": "08/19/2022 09:59:27",
"content": "Im a bit dumb for a moment let me think for this.",
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"id": 1010187778455240700,
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"author_name": "Lionel Nero » Kosaka Wakamo",
"timestamp": "08/19/2022 10:05:34",
"content": "70(2) = 55(2) + a\ndistance = speed x time \n140 + 110 = 250 with that mean the kph with the time is equivalent by converting to 250km of distance?",
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"id": 1010187901260271700,
"author_id": 358857302721429500,
"author_name": "Lionel Nero » Kosaka Wakamo",
"timestamp": "08/19/2022 10:06:04",
"content": "oh wait...",
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"id": 1010187917559349200,
"author_id": 358857302721429500,
"author_name": "Lionel Nero » Kosaka Wakamo",
"timestamp": "08/19/2022 10:06:07",
"content": "...",
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{
"id": 1010188385144541200,
"author_id": 715875286041886800,
"author_name": "Akise",
"timestamp": "08/19/2022 10:07:59",
"content": "do you know how to solve a linear equation",
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"id": 1010188482334965900,
"author_id": 358857302721429500,
"author_name": "Lionel Nero » Kosaka Wakamo",
"timestamp": "08/19/2022 10:08:22",
"content": "ahh now i get it oh freak why did i not used that",
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"timestamp": "08/19/2022 10:08:25",
"content": "a + 10 = 12 \na = 2",
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"id": 1010188542628081700,
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"timestamp": "08/19/2022 10:08:36",
"content": "like this",
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},
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"id": 1010188646298681300,
"author_id": 358857302721429500,
"author_name": "Lionel Nero » Kosaka Wakamo",
"timestamp": "08/19/2022 10:09:01",
"content": "ahhh now i see",
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"id": 1010188904613302300,
"author_id": 358857302721429500,
"author_name": "Lionel Nero » Kosaka Wakamo",
"timestamp": "08/19/2022 10:10:03",
"content": "ok thanks for the hints now i got the progress i needed.",
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"timestamp": "08/19/2022 10:10:04",
"content": ".close",
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] |
help-9
|
cb46073843f946d6a796daa721a5672b
|
197,922 |
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"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "08/19/2022 10:19:15",
"content": "I guess list out some elements of <3>/<12> to see how it looks like",
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"id": 1010192108004573300,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/19/2022 10:22:47",
"content": "so <3> = {3,6,9,12,...}",
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"id": 1010192166288625700,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/19/2022 10:23:00",
"content": "<12> = {12,24,36, 48,...}",
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"id": 1010192382874112100,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/19/2022 10:23:52",
"content": "Then <3>/<12> = {<12>, 3+<12>, 6+<12>, ...}",
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"id": 1010192751410819100,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "08/19/2022 10:25:20",
"content": "Yea",
"attachments": [],
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},
{
"id": 1010192793878134900,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "08/19/2022 10:25:30",
"content": "How many elements are there?",
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},
{
"id": 1010192929110888400,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/19/2022 10:26:02",
"content": "as many as |<3>|",
"attachments": [],
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},
{
"id": 1010193040876503200,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "08/19/2022 10:26:29",
"content": "Nah there's some repitition",
"attachments": [],
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},
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"id": 1010193101245120500,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "08/19/2022 10:26:43",
"content": "Eg. 12 + <12> = <12>",
"attachments": [],
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},
{
"id": 1010193168534347900,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/19/2022 10:26:59",
"content": "ah",
"attachments": [],
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},
{
"id": 1010193198406193300,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/19/2022 10:27:06",
"content": "so 0,3,6,9 + <12>",
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},
{
"id": 1010193202571116500,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/19/2022 10:27:07",
"content": "4",
"attachments": [],
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},
{
"id": 1010193236712767500,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "08/19/2022 10:27:16",
"content": "Yea",
"attachments": [],
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},
{
"id": 1010193288273330300,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/19/2022 10:27:28",
"content": "so Z4?",
"attachments": [],
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},
{
"id": 1010193329926975600,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "08/19/2022 10:27:38",
"content": "Yea that's the only possible option",
"attachments": [],
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},
{
"id": 1010193388022284300,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/19/2022 10:27:52",
"content": "ah right. same cardinality",
"attachments": [],
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},
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"id": 1010193451234623500,
"author_id": 859166603114315800,
"author_name": "giannis_money",
"timestamp": "08/19/2022 10:28:07",
"content": "If you want to convince yourself more tho you can try to create an isomorphism",
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},
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"id": 1010193541038866400,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/19/2022 10:28:28",
"content": "okok ty",
"attachments": [],
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},
{
"id": 1010193552065699800,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/19/2022 10:28:31",
"content": ".close",
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},
{
"id": 1010193553764397200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/19/2022 10:28:31",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
a96ec271333649acbe7c9c3ec2489923
|
197,923 |
[
{
"id": 1010193806408302600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/19/2022 10:29:31",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1010194541493633200,
"author_id": 786519677228548100,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "08/19/2022 10:32:27",
"content": "how do i solve this?",
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"timestamp": "08/19/2022 10:32:27",
"content": "Pinned a message.",
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"author_id": 786519677228548100,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "08/19/2022 10:32:40",
"content": "the log is causing trouble here",
"attachments": [],
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},
{
"id": 1010194701040762900,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "08/19/2022 10:33:05",
"content": "exponentiate both sides",
"attachments": [],
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},
{
"id": 1010194763229696100,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "08/19/2022 10:33:20",
"content": "it will become a separable de",
"attachments": [],
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},
{
"id": 1010194956515819500,
"author_id": 786519677228548100,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "08/19/2022 10:34:06",
"content": "what does that mean?",
"attachments": [],
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{
"id": 1010195001109663700,
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"author_name": "",
"timestamp": "08/19/2022 10:34:16",
"content": "take e^ of both sides",
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{
"id": 1010195019216462000,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "08/19/2022 10:34:21",
"content": "$ln (x)=y$",
"attachments": [],
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},
{
"id": 1010195084374966400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/19/2022 10:34:36",
"content": "**Normal Zeta**",
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"id": 1010195090330894500,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "08/19/2022 10:34:38",
"content": "$\\implies x=e^y$",
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},
{
"id": 1010195108156674200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/19/2022 10:34:42",
"content": "**Normal Zeta**",
"attachments": [
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{
"id": 1010195113785446500,
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"timestamp": "08/19/2022 10:34:43",
"content": "like that i mean",
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"id": 1010195250666545300,
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"author_name": "",
"timestamp": "08/19/2022 10:35:16",
"content": "this is just an example tho",
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"timestamp": "08/19/2022 10:35:23",
"content": "this isnt the same x and y in ur case",
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"author_id": 786519677228548100,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "08/19/2022 10:43:33",
"content": "got it , thanks",
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"author_id": 786519677228548100,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "08/19/2022 10:43:34",
"content": ".close",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/19/2022 10:43:35",
"content": "Channel closed",
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}
] |
help-9
|
564f1cdd88f44892a16c83e9ed06ff7c
|
197,924 |
[
{
"id": 1010197595685130200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/19/2022 10:44:35",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1010198158518784100,
"author_id": 830438534505955300,
"author_name": "socceregg",
"timestamp": "08/19/2022 10:46:49",
"content": "in differentiation, i have to change the f(x) to f'(x) why",
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},
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"id": 1010198160406237200,
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"timestamp": "08/19/2022 10:46:50",
"content": "Pinned a message.",
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"id": 1010198509552672800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "08/19/2022 10:48:13",
"content": "well it's a different function now",
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},
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"id": 1010198653429895200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "08/19/2022 10:48:47",
"content": "you could call it whatever you want but f'(x) is just very common notation",
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},
{
"id": 1010198819310407800,
"author_id": 830438534505955300,
"author_name": "socceregg",
"timestamp": "08/19/2022 10:49:27",
"content": "so do i have to put ' when it comes to differentiation?",
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},
{
"id": 1010198938537701400,
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"timestamp": "08/19/2022 10:49:55",
"content": "yup thats one of the notations",
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{
"id": 1010199023669493900,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "08/19/2022 10:50:15",
"content": "the first order derivative of some function f(x) is denoted by f'(x)",
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},
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"id": 1010199105244500000,
"author_id": 830438534505955300,
"author_name": "socceregg",
"timestamp": "08/19/2022 10:50:35",
"content": "oh i see thx",
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"author_name": "Mathematics Bot",
"timestamp": "08/19/2022 11:05:35",
"content": "@socceregg Has your question been resolved?",
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"timestamp": "08/19/2022 11:20:35",
"content": "Channel closed",
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}
] |
help-9
|
8cd34d82b7a746ccb3b9a5f016e625a1
|
197,925 |
[
{
"id": 1010206909237821400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/19/2022 11:21:35",
"content": "Available help channel!",
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},
{
"id": 1010208173807915000,
"author_id": 501346592054575100,
"author_name": "TeaFanatic",
"timestamp": "08/19/2022 11:26:37",
"content": "any ideas how to solve this? Or is it even possible to solve this?",
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"content": "Pinned a message.",
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"id": 1010208359280021500,
"author_id": 501346592054575100,
"author_name": "TeaFanatic",
"timestamp": "08/19/2022 11:27:21",
"content": "wait, the last one should be 27(mod 42)",
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},
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"id": 1010208373658103900,
"author_id": 501346592054575100,
"author_name": "TeaFanatic",
"timestamp": "08/19/2022 11:27:25",
"content": "my bad",
"attachments": [],
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},
{
"id": 1010209237575667800,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "08/19/2022 11:30:51",
"content": "Have you done some trial & error to find *any* solution?\nCertainly CRT is not applicable",
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"id": 1010209514773041300,
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"author_name": "TeaFanatic",
"timestamp": "08/19/2022 11:31:57",
"content": "yes I did, but I've ended with x=303(mod 420) and that's not true of course",
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"id": 1010209581961576600,
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"author_name": "TeaFanatic",
"timestamp": "08/19/2022 11:32:13",
"content": "why CRT is not applicable?",
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"id": 1010209880201760800,
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"timestamp": "08/19/2022 11:33:24",
"content": "It's a requirement, that all moduli need to be pairwise coprime.\nFor example here gcd(14,20) = 2 so 14 and 20 are not coprime.",
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"timestamp": "08/19/2022 11:36:12",
"content": "Are you sure about that? My professor solved lots of examples where modulos are not coprime",
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"id": 1010210642998861800,
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"timestamp": "08/19/2022 11:36:26",
"content": "like I can send you an example give me a second",
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"content": "",
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"timestamp": "08/19/2022 11:37:23",
"content": "and the answer was x=179(mod 216)",
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"timestamp": "08/19/2022 11:37:46",
"content": "but I don't get it why in his example it works, but not in mine",
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"author_name": "Janox",
"timestamp": "08/19/2022 11:38:26",
"content": "It's possible that a system of congruences with non coprime moduli is solvable, but I doubt they used CRT to solve it😅",
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"timestamp": "08/19/2022 11:39:10",
"content": "wait I think I got it",
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"author_name": "Janox",
"timestamp": "08/19/2022 11:39:14",
"content": "Try 363 in your example",
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"timestamp": "08/19/2022 11:39:21",
"content": "",
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"timestamp": "08/19/2022 11:39:53",
"content": "so in my professor's example, gcd(72,108)=4",
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"timestamp": "08/19/2022 11:40:00",
"content": "and 71-35=36",
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"author_id": 501346592054575100,
"author_name": "TeaFanatic",
"timestamp": "08/19/2022 11:40:04",
"content": "and 4|36",
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"id": 1010211702190637000,
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"timestamp": "08/19/2022 11:40:38",
"content": "but in mine, gcd(14,20,42)=2",
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"timestamp": "08/19/2022 11:41:13",
"content": "but 27-3-14=11, and 2 doesn't divide 11",
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"timestamp": "08/19/2022 11:41:19",
"content": "so I think that might be the case",
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"id": 1010212362135011300,
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"author_name": "TeaFanatic",
"timestamp": "08/19/2022 11:43:15",
"content": "the only thing I don't know is order of subtracted numbers",
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"id": 1010212475309924400,
"author_id": 501346592054575100,
"author_name": "TeaFanatic",
"timestamp": "08/19/2022 11:43:42",
"content": "like if I have 3 numbers like in mine example, should it be 27-13-3 or maybe 3-13-27",
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"id": 1010212743363694700,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "08/19/2022 11:44:46",
"content": "Unfortunately I'm not that familiar with this method. Though I think these brackets [...] denote the least common multiple. The solution should therefore be unique modulo lcm(14,20,42).",
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"timestamp": "08/19/2022 11:47:09",
"content": "thank you for your help anyway",
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"id": 1010216450167943200,
"author_id": 501346592054575100,
"author_name": "TeaFanatic",
"timestamp": "08/19/2022 11:59:30",
"content": ".close",
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"id": 1010216451640144000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/19/2022 11:59:30",
"content": "Channel closed",
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}
] |
help-9
|
693167bf6295431db7cad5c78b5c7585
|
197,926 |
[
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"timestamp": "04/02/2022 16:00:42",
"content": "Available help channel!",
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},
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"content": "Pinned a message.",
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"author_id": 165569034086121470,
"author_name": "Devin",
"timestamp": "04/02/2022 16:08:52",
"content": "can someone give me an example on why 4 is sometimes?",
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"id": 959907361382879200,
"author_id": 165569034086121470,
"author_name": "Devin",
"timestamp": "04/02/2022 16:09:09",
"content": "this is HS geometry",
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"id": 959907460129378400,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "04/02/2022 16:09:32",
"content": "(0,0),(0,1),(1,0) are three coplanar points not on the same line",
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{
"id": 959907689541030000,
"author_id": 165569034086121470,
"author_name": "Devin",
"timestamp": "04/02/2022 16:10:27",
"content": "so if i put (0,2) there, then we could create a line?",
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"id": 959907754825351300,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "04/02/2022 16:10:42",
"content": "and took out (1,0), yes",
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"id": 959907804414636200,
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"author_name": "dk.dkn",
"timestamp": "04/02/2022 16:10:54",
"content": "Think about it",
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"id": 959907810345357300,
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"author_name": "Devin",
"timestamp": "04/02/2022 16:10:56",
"content": "but i thought coplanar points must be non-collinear",
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"id": 959907857610981400,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "04/02/2022 16:11:07",
"content": "What very important plane do you know about",
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"id": 959907912170479600,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "04/02/2022 16:11:20",
"content": "The xy-plane",
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"id": 959907918789091500,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "04/02/2022 16:11:22",
"content": "coplaner, to my understanding, just means they are on the same plane.",
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"id": 959907988297113700,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "04/02/2022 16:11:38",
"content": "If you want to define a plane with points, you need 3 coplanar points not on a line.",
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"id": 959908215011827700,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/02/2022 16:12:32",
"content": "I'm confused, the answers look good to me",
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"id": 959908307051618400,
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"author_name": "dk.dkn",
"timestamp": "04/02/2022 16:12:54",
"content": "Imagine drawing a line on the xy-plane, if 4 was always true, every point on the plane would be on that line",
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"id": 959908331730919400,
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"author_name": "dk.dkn",
"timestamp": "04/02/2022 16:13:00",
"content": "That's obviously false",
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"id": 959908383576711300,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "04/02/2022 16:13:12",
"content": "And clearly we can choose infinite points for any given line",
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{
"id": 959908695456759800,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/02/2022 16:14:27",
"content": "Okay, glad we have confirmation",
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"id": 959910059939332100,
"author_id": 165569034086121470,
"author_name": "Devin",
"timestamp": "04/02/2022 16:19:52",
"content": "coplanar means points on the same plane, but to have a plane you need to have at least 3 non-collinear points right",
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"id": 959910356359213000,
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"timestamp": "04/02/2022 16:21:03",
"content": "yes",
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"id": 959910474131058700,
"author_id": 334482942506041340,
"author_name": "Zybikron",
"timestamp": "04/02/2022 16:21:31",
"content": "well... to define a plane you need 3 non-colinear points",
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"timestamp": "04/02/2022 16:34:52",
"content": "@Devin Has your question been resolved?",
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"id": 959914115760021500,
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"timestamp": "04/02/2022 16:35:59",
"content": "thank you @Zybikron",
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"timestamp": "04/02/2022 16:36:02",
"content": "and everyone else",
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"timestamp": "04/02/2022 16:36:03",
"content": "Channel closed",
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}
] |
help-9
|
d08db6a70aa04e69bc64892ab21e4ac6
|
197,927 |
[
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"content": "Available help channel!",
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"timestamp": "08/19/2022 12:33:43",
"content": "@6឵ Has your question been resolved?",
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"timestamp": "08/19/2022 12:36:23",
"content": "How familiar are you with unit circle?",
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] |
help-9
|
025084d8b3cd4dd790c4453dba6c42c2
|
197,928 |
[
{
"id": 1010244956637630500,
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"content": "Available help channel!",
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{
"id": 1010245778540863600,
"author_id": 989450842857963500,
"author_name": "Patrick Bateman",
"timestamp": "08/19/2022 13:56:03",
"content": "Let x be any no. Ending with 0",
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"timestamp": "08/19/2022 13:56:34",
"content": "Ok",
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"timestamp": "08/19/2022 13:57:31",
"content": "@Patrick Bateman what's you question?",
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"id": 1010247152938795000,
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"timestamp": "08/19/2022 14:01:30",
"content": "a.k.a. `x = 0 (mod 10)`",
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"content": "x=0 (mod 10)",
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"id": 1010247784571617300,
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"timestamp": "08/19/2022 14:04:01",
"content": "what is the question",
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"id": 1010247822924329100,
"author_id": 892894492108128300,
"author_name": "hired",
"timestamp": "08/19/2022 14:04:10",
"content": "that has to do with that",
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"id": 1010248068777660500,
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"content": "?",
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"content": "@Patrick Bateman Has your question been resolved?",
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"timestamp": "08/19/2022 14:23:40",
"content": "I'm pretty sure the answer is 64274265640",
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"content": "hmmmm last time I calculated it, it was 8675309",
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help-9
|
0ca6e311de764ff0899edfc480041068
|
197,929 |
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"id": 1010287340498980900,
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"content": "Someone can fix it I think I did something wrong",
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"content": "fix what",
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"content": "Solve*",
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"content": "divide both sides by 2 then try to use the expression $cos(a+b)=cos(a)cos(b)-sin(a)sin(b)$",
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"content": "**R00tKiT**",
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"content": "OK I try",
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"timestamp": "08/19/2022 16:46:15",
"content": "and remember that $sin(\\frac{\\pi}{6})=\\frac1{2}$ and $cos(\\frac{\\pi}{6})=\\frac{\\sqrt3}{2}$",
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"content": "**R00tKiT**",
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"timestamp": "08/19/2022 16:46:50",
"content": "Gl",
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},
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"author_id": 601017379337666600,
"author_name": "Monny",
"timestamp": "08/19/2022 16:46:55",
"content": "Thanks",
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},
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"id": 1010288807737823200,
"author_id": 601017379337666600,
"author_name": "Monny",
"timestamp": "08/19/2022 16:47:02",
"content": ".close",
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"content": "Channel closed",
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}
] |
help-9
|
5262487905a34842adb2b6b1d374fcdc
|
197,930 |
[
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"timestamp": "08/19/2022 16:51:14",
"content": "Available help channel!",
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},
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"content": "Pinned a message.",
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"author_id": 730443144302428200,
"author_name": "Percy Potter",
"timestamp": "08/19/2022 16:58:49",
"content": "just want to make sure, in a normal distribution median mode and mean are all the the middle right?",
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"id": 1010291793704783900,
"author_id": 730443144302428200,
"author_name": "Percy Potter",
"timestamp": "08/19/2022 16:58:53",
"content": "so the above would be true?",
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{
"id": 1010293246104174700,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/19/2022 17:04:40",
"content": "yes",
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},
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"id": 1010293478439260200,
"author_id": 730443144302428200,
"author_name": "Percy Potter",
"timestamp": "08/19/2022 17:05:35",
"content": "thx",
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},
{
"id": 1010293504360071400,
"author_id": 730443144302428200,
"author_name": "Percy Potter",
"timestamp": "08/19/2022 17:05:41",
"content": "would this be uniform distribution btw?",
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"id": 1010293653257851000,
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"author_name": "Toby",
"timestamp": "08/19/2022 17:06:17",
"content": "probably yeah",
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"id": 1010293680571171000,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/19/2022 17:06:23",
"content": "what does cutting a card mean?",
"attachments": [],
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"id": 1010293723961249800,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/19/2022 17:06:34",
"content": "can you cut the top and bottom cards?",
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"id": 1010293758690070500,
"author_id": 730443144302428200,
"author_name": "Percy Potter",
"timestamp": "08/19/2022 17:06:42",
"content": "i think fancy way of picking a card?",
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"author_name": "Toby",
"timestamp": "08/19/2022 17:06:45",
"content": "yeah",
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"author_name": "Percy Potter",
"timestamp": "08/19/2022 17:06:48",
"content": "oh good question",
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"author_name": "Percy Potter",
"timestamp": "08/19/2022 17:07:19",
"content": "cuz then it wouldnt be equally likely",
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"id": 1010293970183651300,
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"author_name": "Toby",
"timestamp": "08/19/2022 17:07:32",
"content": "probably doesnt matter though because the position of the was cards was random to start with, right?",
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"author_name": "Percy Potter",
"timestamp": "08/19/2022 17:07:45",
"content": "yeah i guess",
"attachments": [],
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},
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"id": 1010294045693706400,
"author_id": 730443144302428200,
"author_name": "Percy Potter",
"timestamp": "08/19/2022 17:07:50",
"content": "that none option is throwing me off",
"attachments": [],
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},
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"id": 1010294094850949200,
"author_id": 730443144302428200,
"author_name": "Percy Potter",
"timestamp": "08/19/2022 17:08:02",
"content": "also just want to make sure about this one?",
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"author_id": 730443144302428200,
"author_name": "Percy Potter",
"timestamp": "08/19/2022 17:08:31",
"content": "b/c the \"between\" is making me think it could just be from 1-9",
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"author_id": 730443144302428200,
"author_name": "Percy Potter",
"timestamp": "08/19/2022 17:08:39",
"content": "which gives expected of 4.88",
"attachments": [],
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"id": 1010294349361320000,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/19/2022 17:09:03",
"content": "the average of 1 and 10 is 5.5",
"attachments": [],
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"author_name": "Toby",
"timestamp": "08/19/2022 17:09:15",
"content": "with this logic, it would be 2-9, which also averages to 5.5",
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"author_name": "Percy Potter",
"timestamp": "08/19/2022 17:09:25",
"content": "oh right",
"attachments": [],
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"id": 1010294478650745000,
"author_id": 730443144302428200,
"author_name": "Percy Potter",
"timestamp": "08/19/2022 17:09:34",
"content": "oops",
"attachments": [],
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"author_id": 730443144302428200,
"author_name": "Percy Potter",
"timestamp": "08/19/2022 17:10:01",
"content": "would you go with cards or none?",
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"id": 1010294925868413000,
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"author_name": "Toby",
"timestamp": "08/19/2022 17:11:20",
"content": "uhhhh",
"attachments": [],
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{
"id": 1010294944226869200,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/19/2022 17:11:25",
"content": "cards probably",
"attachments": [],
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},
{
"id": 1010294978427224200,
"author_id": 730443144302428200,
"author_name": "Percy Potter",
"timestamp": "08/19/2022 17:11:33",
"content": "yeah",
"attachments": [],
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},
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"id": 1010295221650727000,
"author_id": 730443144302428200,
"author_name": "Percy Potter",
"timestamp": "08/19/2022 17:12:31",
"content": "okay thank you",
"attachments": [],
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},
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"id": 1010295233088602200,
"author_id": 730443144302428200,
"author_name": "Percy Potter",
"timestamp": "08/19/2022 17:12:33",
"content": ".close",
"attachments": [],
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},
{
"id": 1010295234661458000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/19/2022 17:12:34",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
0d61a56d57d941d3b4482bec3e09ad35
|
197,931 |
[
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"id": 1010295488332976100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/19/2022 17:13:34",
"content": "Available help channel!",
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},
{
"id": 1010302606964424800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/19/2022 17:41:52",
"content": "Pinned a message.",
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"id": 1010303173522641000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/19/2022 17:44:07",
"content": ",w plot 0.05t³ + 0.2t² + 0.1t for -5 < t < 5",
"attachments": [],
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},
{
"id": 1010303190580875300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/19/2022 17:44:11",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
{
"id": 1010303261846294700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/19/2022 17:44:28",
"content": "yup this does not match the given function",
"attachments": [],
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"id": 1010303346252464100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/19/2022 17:44:48",
"content": ",w plot 0.05t³ - 0.2t² + 0.1t for -5 < t < 5",
"attachments": [],
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},
{
"id": 1010303360118829000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/19/2022 17:44:51",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
{
"id": 1010303420462280800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/19/2022 17:45:05",
"content": ",w plot 0.05t³ + 0.2t² - 0.1t for -5 < t < 5",
"attachments": [],
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},
{
"id": 1010303434785829000,
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"author_name": "TeXit",
"timestamp": "08/19/2022 17:45:09",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
{
"id": 1010303726516437100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/19/2022 17:46:18",
"content": "biggest change in slope of a function h(t) can be found by maximizing h'(t)",
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"id": 1010303839905259500,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "08/19/2022 17:46:45",
"content": "differentiate it",
"attachments": [],
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},
{
"id": 1010303855604531300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/19/2022 17:46:49",
"content": "do you know how to maximize any function?",
"attachments": [],
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},
{
"id": 1010303873266749400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/19/2022 17:46:53",
"content": "the derivative is just another function",
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},
{
"id": 1010304106558132200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/19/2022 17:47:49",
"content": "😦",
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},
{
"id": 1010304262749823100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/19/2022 17:48:26",
"content": "biggest change of the slope = biggest d/dx (derivative) = maximizing (second derivative). oh okay you're right",
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},
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"id": 1010304689637687400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/19/2022 17:50:08",
"content": "read the last sentence",
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},
{
"id": 1010304910081929300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/19/2022 17:51:01",
"content": "https://tutorial.math.lamar.edu/classes/calci/absextrema.aspx",
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},
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"id": 1010307466719924200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/19/2022 18:01:10",
"content": "sorta?",
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"timestamp": "08/19/2022 18:01:51",
"content": "not this graph, not precisely no",
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},
{
"id": 1010311353501757400,
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"author_name": "riemann",
"timestamp": "08/19/2022 18:16:37",
"content": "some order derivative yes.",
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"timestamp": "08/19/2022 18:19:48",
"content": "Channel closed",
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] |
help-9
|
c81ef6e8ac214cb19dbcadbb8c5f746f
|
197,932 |
[
{
"id": 1010312362785505300,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/19/2022 18:20:37",
"content": "heres a best fit graph https://www.desmos.com/calculator/7bvciaza00",
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},
{
"id": 1010349298006888600,
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"author_name": "Mathematics Bot",
"timestamp": "08/19/2022 20:47:24",
"content": "Available help channel!",
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},
{
"id": 1010350436156444700,
"author_id": 586955478529998800,
"author_name": "rept1d",
"timestamp": "08/19/2022 20:51:55",
"content": "consider a circular sequence of numbers from 1 to n\nlet's eliminate (starting from the lowest not yet eliminated number) 1st, then 2nd, then 3rd etc\ne.g. for n = 5:\n1 2 3 4 5\n~~1~~ 2 3 4 5\n~~1~~ 2 ~~3~~ 4 5\n~~1~~ 2 ~~3~~ 4 ~~5~~\n~~1~~ 2 ~~3~~ ~~4~~ ~~5~~\nlet P(n) be the last remaining number for such elimination strategy\nhttps://oeis.org/A128982 is very close to what I'm describing but shifted by 1\nI wonder why `P(n) = 2 iff n is prime` and `P(n) = n iff (n+1) is prime`\nit's mentioned on OEIS but I haven't been able to find the proof",
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"id": 1010350437548949600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/19/2022 20:51:55",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1010351153004937300,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "08/19/2022 20:54:46",
"content": "> let's eliminate (starting from the lowest not yet eliminated number) 1st, then 2nd, then 3rd etc",
"attachments": [],
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"reference": null
},
{
"id": 1010351159174779000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "08/19/2022 20:54:47",
"content": "wha?",
"attachments": [],
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"reference": null
},
{
"id": 1010351237239160800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "08/19/2022 20:55:06",
"content": "oh i see",
"attachments": [],
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"reference": null
},
{
"id": 1010351439698219100,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "08/19/2022 20:55:54",
"content": "how did you eliminate the 4? whats the \"4th\" of 2,4?",
"attachments": [],
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},
{
"id": 1010351529120776300,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "08/19/2022 20:56:15",
"content": "circular",
"attachments": [],
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"reference": null
},
{
"id": 1010351534955036800,
"author_id": 586955478529998800,
"author_name": "rept1d",
"timestamp": "08/19/2022 20:56:17",
"content": "you start from the beginning when you reach the end",
"attachments": [],
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"reference": null
},
{
"id": 1010351549094051800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "08/19/2022 20:56:20",
"content": "ok i just cant read lol",
"attachments": [],
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"reference": null
},
{
"id": 1010355015564673200,
"author_id": 586955478529998800,
"author_name": "rept1d",
"timestamp": "08/19/2022 21:10:07",
"content": "@Helpers",
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"reference": null
},
{
"id": 1010358791210020900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/19/2022 21:25:07",
"content": "@rept1d Has your question been resolved?",
"attachments": [],
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"content": "@rept1d Has your question been resolved?",
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"content": "@rept1d Has your question been resolved?",
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"timestamp": "08/19/2022 23:22:56",
"content": "Help us understand your question, at least I find it vague",
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"timestamp": "08/19/2022 23:48:56",
"content": "what exactly is vague? the definition of `P(n)` or what I want to prove about it?",
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"timestamp": "08/19/2022 23:49:51",
"content": "Eliminate 1-st, then 2-nd, then 3-rd. I don’t understand the order here",
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"content": "on `k`-th step let's list all `n - k + 1` elements that are not yet eliminated\nnow in this list of `n - k + 1` elements eliminate the one with index `((k - 1) mod (n - k + 1)) + 1` (aka `k`th element in a circular list)",
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"content": "there's an example for n = 5:\n1 2 3 4 5\neliminate 1st: 2 3 4 5\neliminate 2nd : 2 4 5\neliminate 3rd: 2 4\neliminate 4th (= 2nd): 2",
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"timestamp": "08/19/2022 23:57:03",
"content": "so P(5) = 2",
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"timestamp": "08/19/2022 23:58:02",
"content": "? First step eliminate (1-1) mod (5+1) = 0 mod 6",
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"timestamp": "08/19/2022 23:58:06",
"content": "Why that’s 1?",
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"timestamp": "08/19/2022 23:59:05",
"content": "`((1 - 1) mod (5 - 1 + 1)) + 1 = (0 mod 5) + 1 = 0 + 1 = 1`",
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"timestamp": "08/19/2022 23:59:23",
"content": "Oh plus 1 at the end I see",
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"timestamp": "08/20/2022 00:01:29",
"content": "Third step, eliminate (3-1) mod (5-2) then plus one, 2 mod 3, then plus one, why it’s 5?",
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"timestamp": "08/20/2022 00:02:37",
"content": "`((k - 1) mod (n - k + 1)) + 1` is not the number we eliminate, it's its position",
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"timestamp": "08/20/2022 00:02:42",
"content": "5 is the third one",
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"timestamp": "08/20/2022 00:03:09",
"content": "You mean the third position?",
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"timestamp": "08/20/2022 00:03:15",
"content": "Starting from who?",
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"timestamp": "08/20/2022 00:03:56",
"content": "from the beginning of the remaining list",
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"timestamp": "08/20/2022 00:04:53",
"content": "Okay I finally understand your question, thank you, it is very rigorous",
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"timestamp": "08/20/2022 00:06:13",
"content": "it's similar to the https://en.wikipedia.org/wiki/Josephus_problem but we start from the beginning each time (instead of continuing from the last removed element)\nand on each step the number of elements skipped is increased by 1",
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"timestamp": "08/20/2022 00:06:39",
"content": "I see",
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"timestamp": "08/20/2022 00:08:38",
"content": "so the first question is why `P(x) = 2 iff x is prime`\nthe second one is why `P(x) = x iff (x + 1) is prime`",
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"timestamp": "08/20/2022 00:10:26",
"content": "First we know second statement implies the first one",
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"timestamp": "08/20/2022 00:11:14",
"content": "If we have statement 2, then for case 1, after we removed 1, relabel 3,4,…,n,2 as 1,2,,..,n-1",
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"timestamp": "08/20/2022 00:11:40",
"content": "Then from statement two we know that p(n-1)=n-1, which corresponds original 2",
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"timestamp": "08/20/2022 00:11:50",
"content": "So we need to try proving statement 2 now",
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"content": "i don't understand what you are doing there",
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"content": "?",
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"author_name": "rept1d",
"timestamp": "08/20/2022 00:14:39",
"content": "what is `3,4,…,n,2`?",
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"timestamp": "08/20/2022 00:14:40",
"content": "I used statement 2 to prove statement 1",
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"timestamp": "08/20/2022 00:14:42",
"content": "the order matters",
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"timestamp": "08/20/2022 00:16:52",
"content": "Yeah something wrong forget it you are right",
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"timestamp": "08/20/2022 00:17:40",
"content": "there's how it works for n up to 10 if that helps",
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"timestamp": "08/20/2022 00:17:42",
"content": "Wait no",
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"timestamp": "08/20/2022 00:17:45",
"content": "I was correct",
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"timestamp": "08/20/2022 00:17:53",
"content": "You see after you eliminated 1",
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"timestamp": "08/20/2022 00:18:02",
"content": "The remaining numbers are 2,3,..,n",
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"timestamp": "08/20/2022 00:19:19",
"content": "You relabel 3,4,…,n,2 as 1’,2’,…,(n-1)’. Then k+1 th position starting from 2, is the same as k-th position starting from 1’",
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"timestamp": "08/20/2022 00:20:07",
"content": "You see, the original 2 here functions as kind of “jump 1”",
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"timestamp": "08/20/2022 00:21:06",
"content": "ok i see",
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"timestamp": "08/20/2022 00:21:08",
"content": "Second position from 2 is the first position from 3 (which is 1’), then third position from 3 is the second position starting from 4 which is 2’…",
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"timestamp": "08/20/2022 00:21:47",
"content": "So statement 2",
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"timestamp": "08/20/2022 00:22:15",
"content": "….hard… let me try",
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"timestamp": "08/20/2022 00:23:00",
"content": "> Then k+1 th position starting from 2, is the same as k-th position starting from 1’\ni believe that ^\ni don't see what it implies though",
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"timestamp": "08/20/2022 00:23:36",
"content": "Then it transform into P(n-1) case",
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"timestamp": "08/20/2022 00:24:01",
"content": "oh",
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"timestamp": "08/20/2022 00:24:31",
"content": "so that's how you prove 1 using 2",
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"timestamp": "08/20/2022 00:24:31",
"content": "i see",
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"timestamp": "08/20/2022 00:33:27",
"content": "If this channel is closed, can I DM you or ping you in math-discussion channel if I figured out how to solve it? Even though it’s unlikely to happen, I am dumb, didn’t solve much competition problems",
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"timestamp": "08/20/2022 00:34:09",
"content": "sure\nthat's not a competition problem though",
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"content": "Feels as hard as competition questions to me😂. I have absolutely no clue for now, I can’t use induction, contradiction,…, no thought right now.",
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"timestamp": "08/20/2022 02:34:09",
"content": "@rept1d Has your question been resolved?",
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"timestamp": "08/20/2022 06:34:58",
"content": "@rept1d Has your question been resolved?",
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"timestamp": "08/20/2022 11:18:39",
"content": "Maybe throw this in #elementary-number-theory.",
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"timestamp": "08/20/2022 14:46:09",
"content": "@rept1d Has your question been resolved?",
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"timestamp": "08/21/2022 07:03:14",
"content": "@rept1d Has your question been resolved?",
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"timestamp": "08/21/2022 08:13:28",
"content": ".close",
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"timestamp": "08/21/2022 08:13:29",
"content": "Channel closed",
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}
] |
help-9
|
bf1ce2b2236847379a30912a90360d1f
|
197,933 |
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"timestamp": "08/21/2022 08:23:29",
"content": "Available help channel!",
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},
{
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"content": "Pinned a message.",
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"timestamp": "08/21/2022 08:32:22",
"content": "question 20 and 17",
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"timestamp": "08/21/2022 08:33:12",
"content": "question 44 and 45 too",
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"timestamp": "08/21/2022 08:48:12",
"content": "@Oliv Has your question been resolved?",
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"timestamp": "08/21/2022 08:48:27",
"content": "@Helpers",
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"timestamp": "08/21/2022 08:51:38",
"content": "(for 17) What is the definition of \"coplanar\" which you have learnt?",
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"timestamp": "08/21/2022 08:53:54",
"content": "Exactly, so could you indicate the plane in which A, B and C lie on the picture?",
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"timestamp": "08/21/2022 09:10:56",
"content": "the first parallelogram?",
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"timestamp": "08/21/2022 09:11:16",
"content": "so does that mean every point on the 2nd parallelogram can be the answer?",
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"timestamp": "08/21/2022 09:11:25",
"content": "Exactly",
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"timestamp": "08/21/2022 09:11:36",
"content": "oh wow",
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"timestamp": "08/21/2022 09:11:42",
"content": "Because they lie in a different plane",
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"timestamp": "08/21/2022 09:12:11",
"content": "got it. thanks so much. how about number 20 though",
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"timestamp": "08/21/2022 09:12:15",
"content": "idk the names for different lines",
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"timestamp": "08/21/2022 09:12:56",
"content": "Fix 2 points, how many different straight lines can you draw through them?",
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"timestamp": "08/21/2022 09:13:37",
"content": "1?",
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"timestamp": "08/21/2022 09:13:51",
"content": "Yes, indeed, so that means you can just \"name\" a line by 2 points it goes through",
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"timestamp": "08/21/2022 09:14:00",
"content": "Because those points uniquely define that line",
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"timestamp": "08/21/2022 09:14:39",
"content": "so line CE?",
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"timestamp": "08/21/2022 09:14:44",
"content": "but it doesnt cover the entire line",
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"timestamp": "08/21/2022 09:14:50",
"content": "Yes",
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"timestamp": "08/21/2022 09:14:55",
"content": "as in it's only 2 points on the entire line",
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"timestamp": "08/21/2022 09:15:10",
"content": "That doesn't matter, there's exactly one line which can go through those 2 points like we just realised",
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"timestamp": "08/21/2022 09:15:30",
"content": "ooh",
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"timestamp": "08/21/2022 09:15:32",
"content": "So if we say \"line CE\", there's only one line that can refer to, so it can serve as a \"name\" for the line",
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"timestamp": "08/21/2022 09:16:05",
"content": "(For if you hadn't realised: that line extends infinitely far to both sides, but of course you can't draw that)",
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"timestamp": "08/21/2022 09:16:13",
"content": "Same for the planes, they are infinitely large",
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"timestamp": "08/21/2022 09:26:25",
"content": "tyty",
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"timestamp": "08/21/2022 09:26:58",
"content": "as for question 45",
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"timestamp": "08/21/2022 09:27:07",
"content": "how does a plane and a point intersect",
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"timestamp": "08/21/2022 09:27:15",
"content": "do they mean is the point on the plane",
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"timestamp": "08/21/2022 09:29:46",
"content": "If there are points which lie on both planes",
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"author_name": "Oliv",
"timestamp": "08/21/2022 09:30:45",
"content": "so im guessing the answer is no?",
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"timestamp": "08/21/2022 09:30:53",
"content": "Indeed!",
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"timestamp": "08/21/2022 09:30:54",
"content": "as the two planes dont even touch each other",
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"timestamp": "08/21/2022 09:31:16",
"content": "wow math is so confusing",
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"timestamp": "08/21/2022 09:31:22",
"content": "Exactly (we say the planes are *parallel*)",
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"timestamp": "08/21/2022 09:31:29",
"content": "tyty",
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"timestamp": "08/21/2022 09:31:35",
"content": "you are saving my ass here",
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"timestamp": "08/21/2022 09:31:41",
"content": "No problem haha",
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"author_name": "Oliv",
"timestamp": "08/21/2022 09:31:43",
"content": "i thought about it for over 1hr",
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"timestamp": "08/21/2022 09:31:58",
"content": "It takes some time to \"massage\" your intuition",
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"timestamp": "08/21/2022 09:32:07",
"content": "But once you truly understand this stuff it'll seem extremely logical",
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"timestamp": "08/21/2022 09:32:25",
"content": "do you mind if i ask you a few more questions",
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"timestamp": "08/21/2022 09:32:33",
"content": "Not at all",
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"timestamp": "08/21/2022 09:34:23",
"content": "im new to geometry",
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"author_name": "Oliv",
"timestamp": "08/21/2022 09:34:35",
"content": "so i have no idea how to answer these questions",
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"timestamp": "08/21/2022 09:35:39",
"content": "I assume for a) it wants you to choose 5 values for x and then calculate the corresponding y value 5 times",
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"timestamp": "08/21/2022 09:35:49",
"content": "And then put them in a table",
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"timestamp": "08/21/2022 09:35:58",
"content": "can you try to draw it out",
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"timestamp": "08/21/2022 09:36:20",
"content": "I'd rather not, as that is question c) :p",
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"timestamp": "08/21/2022 09:36:25",
"content": "does table mean \nx= this, so y= that\n2x= 2this, so 2y= 2that",
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"timestamp": "08/21/2022 09:36:32",
"content": "oh lmao",
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"timestamp": "08/21/2022 09:36:41",
"content": "geometric figure",
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"timestamp": "08/21/2022 09:36:47",
"content": "so like a shape?",
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"timestamp": "08/21/2022 09:37:28",
"content": "Almost, rather something like this:\n$$\n\\begin{tabular}{ |c|c| } \n\\hline\nx & y\\\\\n \\hline\n 1 & ...\\\\ \n 2 & ...\\\\ \n 3 & ...\\\\ \n 4 & ...\\\\ \n 5 & ...\\\\ \n \\hline\n\\end{tabular}\n$$",
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"timestamp": "08/21/2022 09:38:03",
"content": "ohh",
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"timestamp": "08/21/2022 09:38:11",
"content": "and wow you typed that really quickly",
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"timestamp": "08/21/2022 09:38:13",
"content": "**Yuese**",
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"timestamp": "08/21/2022 09:38:29",
"content": "I always copy paste the table syntax from somewhere online because I forget haha",
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"content": "So in the second column you would want to calculate the corresponding y values",
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"timestamp": "08/21/2022 09:39:07",
"content": "and how do i do that?",
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"timestamp": "08/21/2022 09:39:09",
"content": "Which we can find because we know that $2 + x = y$",
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"content": "**Yuese**",
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"timestamp": "08/21/2022 09:39:37",
"content": "Lets take $x = 1$ first, then we can substitute that value into the equation",
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"timestamp": "08/21/2022 09:39:39",
"content": "**Yuese**",
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"content": "oh so it's simple algebra",
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"timestamp": "08/21/2022 09:40:04",
"content": "i always forget the basics",
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"id": 1010906145453523000,
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"timestamp": "08/21/2022 09:40:06",
"content": "Yes exactly",
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"timestamp": "08/21/2022 09:43:18",
"content": "how do you calculate probability",
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"author_name": "Yuese",
"timestamp": "08/21/2022 09:44:49",
"content": "a) seems really weird, I assume the answer is 0%",
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"author_name": "Yuese",
"timestamp": "08/21/2022 09:44:56",
"content": "But you might want to check with someone else",
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"timestamp": "08/21/2022 09:45:27",
"content": "But the answer to b) should be really obvious: you might have learned that you can always draw a plane through 3 points",
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"id": 1010907493242781800,
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"timestamp": "08/21/2022 09:45:28",
"content": "aight",
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"content": "i think that's the questions i dont know for now",
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"content": "can i dm you other questions i dont know if i got any",
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"id": 1010909200559386600,
"author_id": 308251022068023300,
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"timestamp": "08/21/2022 09:52:15",
"content": "Yes that's alright",
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"timestamp": "08/21/2022 10:03:28",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "08/21/2022 10:03:29",
"content": "Channel closed",
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}
] |
help-9
|
dac1e2a17f0c43bab2f9a88d1129230d
|
197,934 |
[
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"id": 1010912066556666000,
"author_id": 796547065860980700,
"author_name": "BLUESHOCK",
"timestamp": "08/21/2022 10:03:38",
"content": "Hey guys",
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},
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"id": 1010912090501959700,
"author_id": 796547065860980700,
"author_name": "BLUESHOCK",
"timestamp": "08/21/2022 10:03:44",
"content": "I need math help",
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"id": 1010912853995311100,
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"content": "would anyone know how to do part b?",
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"content": "@mike~ Has your question been resolved?",
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"content": "@mike~ Has your question been resolved?",
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"timestamp": "08/21/2022 11:25:51",
"content": "Could you do part a?",
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"author_name": "Blaxapate",
"timestamp": "08/21/2022 11:26:08",
"content": "If so, what does the surface and what does the boundary look like?",
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"timestamp": "08/21/2022 12:02:25",
"content": "@mike~ Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
7e55aef1d24f4d688f889fc1394f07c5
|
197,935 |
[
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help-9
|
8d961d2253eb4833b80c8f79b2bcbdc8
|
197,936 |
[
{
"id": 1010966522929361000,
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"timestamp": "08/21/2022 13:40:01",
"content": "Available help channel!",
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{
"id": 1010971650067550300,
"author_id": 299617801457631200,
"author_name": "dempsey ⧗",
"timestamp": "08/21/2022 14:00:24",
"content": "would somone be able to walk me through this please :D",
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"timestamp": "08/21/2022 14:15:24",
"content": "@dempsey ⧗ Has your question been resolved?",
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"author_name": "dempsey ⧗",
"timestamp": "08/21/2022 14:19:50",
"content": "I am really confused especially on the ratio parts",
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"author_name": "Mathematics Bot",
"timestamp": "08/21/2022 14:49:50",
"content": "@dempsey ⧗ Has your question been resolved?",
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"author_name": "dempsey ⧗",
"timestamp": "08/21/2022 14:52:41",
"content": "@Helpers please",
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{
"id": 1010985070938575000,
"author_id": 299617801457631200,
"author_name": "dempsey ⧗",
"timestamp": "08/21/2022 14:53:44",
"content": "i got as Mpq = Mar and Q is a common point, points P,Q and R are coolinear",
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"author_name": "dempsey ⧗",
"timestamp": "08/21/2022 14:53:59",
"content": "but i’m stuck on the ration part (question is worth 4 marks)",
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"id": 1010985345678069800,
"author_id": 607102310526484500,
"author_name": "Darkness",
"timestamp": "08/21/2022 14:54:49",
"content": "did u crop",
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"id": 1010985352313446400,
"author_id": 607102310526484500,
"author_name": "Darkness",
"timestamp": "08/21/2022 14:54:51",
"content": "the problem",
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"id": 1010985383946895500,
"author_id": 607102310526484500,
"author_name": "Darkness",
"timestamp": "08/21/2022 14:54:58",
"content": "Q what divides RP",
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"author_name": "dempsey ⧗",
"timestamp": "08/21/2022 14:54:59",
"content": "here",
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"id": 1010985460786544800,
"author_id": 299617801457631200,
"author_name": "dempsey ⧗",
"timestamp": "08/21/2022 14:55:17",
"content": "Show that the points P(5, 1), Q(-1, -2) and R(-3, -3) are collinear and write down the ratio that Q divides RP",
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"id": 1010985486686355500,
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"timestamp": "08/21/2022 14:55:23",
"content": "thats all",
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"id": 1010985578847817900,
"author_id": 607102310526484500,
"author_name": "Darkness",
"timestamp": "08/21/2022 14:55:45",
"content": "they are on the same line",
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},
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"id": 1010985596870742000,
"author_id": 607102310526484500,
"author_name": "Darkness",
"timestamp": "08/21/2022 14:55:49",
"content": "find the equation of the line",
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},
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"id": 1010985655708418200,
"author_id": 607102310526484500,
"author_name": "Darkness",
"timestamp": "08/21/2022 14:56:03",
"content": "from two of three points",
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"id": 1010985707856220300,
"author_id": 607102310526484500,
"author_name": "Darkness",
"timestamp": "08/21/2022 14:56:15",
"content": "and test if the last point belongs to the line",
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"author_id": 299617801457631200,
"author_name": "dempsey ⧗",
"timestamp": "08/21/2022 14:56:40",
"content": "wait find the equation of line?",
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"id": 1010985834297700500,
"author_id": 299617801457631200,
"author_name": "dempsey ⧗",
"timestamp": "08/21/2022 14:56:46",
"content": "i thought it was just gradient",
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"id": 1010986492614680600,
"author_id": 607102310526484500,
"author_name": "Darkness",
"timestamp": "08/21/2022 14:59:23",
"content": "for the latter part",
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"author_name": "dempsey ⧗",
"timestamp": "08/21/2022 15:01:02",
"content": "i’m really confused sorry",
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"id": 1010987320981323900,
"author_id": 607102310526484500,
"author_name": "Darkness",
"timestamp": "08/21/2022 15:02:40",
"content": "$\\frac{y-y_2}{y_1-y_2}=\\frac{x-x_2}{x_1-x_2}$",
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"timestamp": "08/21/2022 15:02:42",
"content": "**Darkness**",
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"timestamp": "08/21/2022 15:03:56",
"content": "oh okay",
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"timestamp": "08/21/2022 16:03:56",
"content": "@dempsey ⧗ Has your question been resolved?",
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help-9
|
3940a32b896c4f3a8d372e9fd4e69215
|
197,937 |
[
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"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 16:37:03",
"content": "Available help channel!",
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},
{
"id": 959915982174945300,
"author_id": 132744363309662200,
"author_name": "zan",
"timestamp": "04/02/2022 16:43:24",
"content": "would complete the square work for this? or should i use quadratic formula",
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{
"id": 959916243811442800,
"author_id": 132744363309662200,
"author_name": "zan",
"timestamp": "04/02/2022 16:44:26",
"content": "answers way off i think i complete the square wrong",
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{
"id": 959917389640790000,
"author_id": 553412283561148400,
"author_name": "Elise",
"timestamp": "04/02/2022 16:49:00",
"content": "I think it would be easier to just use the quad formula. im not sure completing the sq here will really help.",
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"id": 959917787315318800,
"author_id": 553412283561148400,
"author_name": "Elise",
"timestamp": "04/02/2022 16:50:34",
"content": "from your second step, i would move the 900 to the left side. factor out a number if possible to make the numbers smaller and either just factor or use a formula",
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"id": 959917977199857700,
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"author_name": "zan",
"timestamp": "04/02/2022 16:51:20",
"content": "so just quad formula 4x^2-140x+300?",
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"id": 959918059672453100,
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"author_name": "zan",
"timestamp": "04/02/2022 16:51:39",
"content": "o i see got it",
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"id": 959918075606601700,
"author_id": 132744363309662200,
"author_name": "zan",
"timestamp": "04/02/2022 16:51:43",
"content": "ty!",
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"timestamp": "04/02/2022 16:51:55",
"content": ".close",
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}
] |
help-9
|
3a9e6491b7df4a77a6a5fc99c4137fa7
|
197,938 |
[
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"timestamp": "08/21/2022 18:40:26",
"content": "Available help channel!",
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},
{
"id": 1011043202654015500,
"author_id": 294821208635998200,
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"content": "Pinned a message.",
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"author_id": 294821208635998200,
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"timestamp": "08/21/2022 18:45:17",
"content": "i'm currently doing vectors, failed my grade and tommorow going to a summer school to fix it",
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},
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"id": 1011043367204962300,
"author_id": 294821208635998200,
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"timestamp": "08/21/2022 18:45:23",
"content": "help please",
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},
{
"id": 1011043516840935400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/21/2022 18:45:58",
"content": "Did you try anything?",
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},
{
"id": 1011043620779991000,
"author_id": 279884747017289730,
"author_name": "Alison40",
"timestamp": "08/21/2022 18:46:23",
"content": "does the x represent cross product",
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"author_name": "dldh06",
"timestamp": "08/21/2022 18:46:44",
"content": "Do you understand this?",
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"timestamp": "08/21/2022 18:49:19",
"content": "i don't",
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"timestamp": "08/21/2022 18:49:59",
"content": "That might be the first step",
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"timestamp": "08/21/2022 18:50:04",
"content": "Understanding that",
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},
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/21/2022 18:50:33",
"content": "https://www.youtube.com/watch?v=pWbOisq1MJU&ab_channel=TheOrganicChemistryTutor",
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},
{
"id": 1011047015809024000,
"author_id": 294821208635998200,
"author_name": "elva",
"timestamp": "08/21/2022 18:59:52",
"content": "i would love to but i urgently need to learn something fast as it is 1 am in the morning for me",
"attachments": [],
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},
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"id": 1011047038852538400,
"author_id": 294821208635998200,
"author_name": "elva",
"timestamp": "08/21/2022 18:59:58",
"content": "i have the math test tommorow",
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},
{
"id": 1011047087007355000,
"author_id": 294821208635998200,
"author_name": "elva",
"timestamp": "08/21/2022 19:00:09",
"content": "i need to wake up at 6 am",
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},
{
"id": 1011047109312643300,
"author_id": 294821208635998200,
"author_name": "elva",
"timestamp": "08/21/2022 19:00:15",
"content": "i have all the questions",
"attachments": [],
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},
{
"id": 1011047152312651800,
"author_id": 294821208635998200,
"author_name": "elva",
"timestamp": "08/21/2022 19:00:25",
"content": "but i'm just too dumb to learn them",
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},
{
"id": 1011047222512718000,
"author_id": 294821208635998200,
"author_name": "elva",
"timestamp": "08/21/2022 19:00:42",
"content": "and they are not in english it's in bosnian",
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"content": "",
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"author_name": "elva",
"timestamp": "08/21/2022 19:01:28",
"content": "i need 4 of the problems correct",
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"author_name": "Mathematics Bot",
"timestamp": "08/21/2022 19:17:00",
"content": "@elva Has your question been resolved?",
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"timestamp": "08/21/2022 19:32:00",
"content": "Channel closed",
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}
] |
help-9
|
c01fcf51be1a4b3eb5a9d96361c3f39a
|
197,939 |
[
{
"id": 1011055352478961700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/21/2022 19:33:00",
"content": "Available help channel!",
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},
{
"id": 1011055902591307800,
"author_id": 773435962616184800,
"author_name": "ara14027",
"timestamp": "08/21/2022 19:35:11",
"content": "I have done problems like #3 before, but am not sure how to do #7",
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"author_name": "Mathematics Bot",
"timestamp": "08/21/2022 19:35:12",
"content": "Pinned a message.",
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{
"id": 1011057156298125300,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:40:10",
"content": "hello again!",
"attachments": [],
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},
{
"id": 1011057180008513700,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:40:16",
"content": "what are you trying to find, the area?",
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},
{
"id": 1011057220991078500,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:40:26",
"content": "or what the values of x are?",
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},
{
"id": 1011058416107663500,
"author_id": 773435962616184800,
"author_name": "ara14027",
"timestamp": "08/21/2022 19:45:10",
"content": "Hello again",
"attachments": [],
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},
{
"id": 1011058468129603700,
"author_id": 773435962616184800,
"author_name": "ara14027",
"timestamp": "08/21/2022 19:45:23",
"content": "Trying to find the area and perimeter",
"attachments": [],
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},
{
"id": 1011059195023474800,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:48:16",
"content": "okay so this is similar to the square problem from earlier",
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},
{
"id": 1011059243010494500,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:48:28",
"content": "you know how the perimeter is just all the sides added up?",
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},
{
"id": 1011059278636925000,
"author_id": 773435962616184800,
"author_name": "ara14027",
"timestamp": "08/21/2022 19:48:36",
"content": "Oh yeah",
"attachments": [],
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},
{
"id": 1011059311964864600,
"author_id": 773435962616184800,
"author_name": "ara14027",
"timestamp": "08/21/2022 19:48:44",
"content": "I was just wondering if it’s literally all of them",
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},
{
"id": 1011059318558306400,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:48:46",
"content": "so what is all the sides added up? 🙂",
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},
{
"id": 1011059362397175900,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:48:56",
"content": "everything but 6.",
"attachments": [],
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},
{
"id": 1011059397801287800,
"author_id": 773435962616184800,
"author_name": "ara14027",
"timestamp": "08/21/2022 19:49:05",
"content": "Oh ok I was about to ask 6 too?",
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},
{
"id": 1011059401244811400,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:49:05",
"content": "it's only the \"outer portion\"",
"attachments": [],
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},
{
"id": 1011059453619097600,
"author_id": 773435962616184800,
"author_name": "ara14027",
"timestamp": "08/21/2022 19:49:18",
"content": "Ok it would be 9x?",
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},
{
"id": 1011059464171966700,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:49:20",
"content": "like a perimeter of a fence",
"attachments": [],
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},
{
"id": 1011059494224154800,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:49:28",
"content": "perfect! that's our permiter",
"attachments": [],
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},
{
"id": 1011059522967711700,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:49:34",
"content": "now for area, this one is a little bit trickier",
"attachments": [],
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},
{
"id": 1011059531108864100,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:49:36",
"content": "but totally doable",
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},
{
"id": 1011059740190720000,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:50:26",
"content": "oh no wait sorry",
"attachments": [],
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},
{
"id": 1011059751938965600,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:50:29",
"content": "it's uber easy",
"attachments": [],
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"reference": null
},
{
"id": 1011059774302990300,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:50:34",
"content": "what's the area of a triangle?",
"attachments": [],
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},
{
"id": 1011059778501476500,
"author_id": 773435962616184800,
"author_name": "ara14027",
"timestamp": "08/21/2022 19:50:35",
"content": "Oh ok",
"attachments": [],
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},
{
"id": 1011060029970972700,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:51:35",
"content": "do you know the formula for an area of a triangle? 🙂",
"attachments": [],
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},
{
"id": 1011060166843711500,
"author_id": 773435962616184800,
"author_name": "ara14027",
"timestamp": "08/21/2022 19:52:08",
"content": "Oh yeah it is base times height?",
"attachments": [],
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},
{
"id": 1011060316899135600,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:52:44",
"content": "divided by what?",
"attachments": [],
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},
{
"id": 1011060320179060900,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:52:44",
"content": "🙂",
"attachments": [],
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},
{
"id": 1011060348117328000,
"author_id": 773435962616184800,
"author_name": "ara14027",
"timestamp": "08/21/2022 19:52:51",
"content": "2?",
"attachments": [],
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},
{
"id": 1011060360624738300,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:52:54",
"content": "bingo!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011060387094986800,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:53:00",
"content": "so what's our base?",
"attachments": [],
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},
{
"id": 1011060425032466600,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:53:09",
"content": "and what is our height?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011060425204449300,
"author_id": 773435962616184800,
"author_name": "ara14027",
"timestamp": "08/21/2022 19:53:09",
"content": "4x?",
"attachments": [],
"mentions": [],
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},
{
"id": 1011060562916028500,
"author_id": 773435962616184800,
"author_name": "ara14027",
"timestamp": "08/21/2022 19:53:42",
"content": "6?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011060608621363200,
"author_id": 773435962616184800,
"author_name": "ara14027",
"timestamp": "08/21/2022 19:53:53",
"content": "So it’s 4x times 6?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011060673914089600,
"author_id": 773435962616184800,
"author_name": "ara14027",
"timestamp": "08/21/2022 19:54:09",
"content": "24x divided by 2",
"attachments": [],
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"reference": null
},
{
"id": 1011060684135612400,
"author_id": 773435962616184800,
"author_name": "ara14027",
"timestamp": "08/21/2022 19:54:11",
"content": "12x?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011060728406495400,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:54:22",
"content": "bam!",
"attachments": [],
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"reference": null
},
{
"id": 1011060734433689600,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:54:23",
"content": "nice job",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011060789345521800,
"author_id": 773435962616184800,
"author_name": "ara14027",
"timestamp": "08/21/2022 19:54:36",
"content": "Once I get the first couple steps I could bang it out easy",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011060810103140400,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:54:41",
"content": "you didn't need me at all for that once you did that one solo 🙂",
"attachments": [],
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},
{
"id": 1011060851417022500,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/21/2022 19:54:51",
"content": "yeah it gets easier. This will become second nature at some point",
"attachments": [],
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},
{
"id": 1011060883977412600,
"author_id": 773435962616184800,
"author_name": "ara14027",
"timestamp": "08/21/2022 19:54:59",
"content": "Yeah hopefully",
"attachments": [],
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},
{
"id": 1011060892592525400,
"author_id": 773435962616184800,
"author_name": "ara14027",
"timestamp": "08/21/2022 19:55:01",
"content": "Thanks again",
"attachments": [],
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},
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"id": 1011061272894255100,
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"timestamp": "08/21/2022 19:56:32",
"content": "Gonna post another",
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"timestamp": "08/21/2022 19:56:36",
"content": ".close",
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"timestamp": "08/21/2022 19:56:37",
"content": "Channel closed",
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}
] |
help-9
|
c07ce8e28c5a4fd18ebe408a0004a874
|
197,940 |
[
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"author_name": "Mathematics Bot",
"timestamp": "08/21/2022 20:35:08",
"content": "Available help channel!",
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},
{
"id": 1011071467963822100,
"author_id": 767610442284924900,
"author_name": "اليمني",
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"content": "Pinned a message.",
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"timestamp": "08/21/2022 20:52:02",
"content": "@اليمني Has your question been resolved?",
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"id": 1011082901095452800,
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"author_name": "Mathematics Bot",
"timestamp": "08/21/2022 21:22:28",
"content": "@اليمني Has your question been resolved?",
"attachments": [],
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{
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"timestamp": "08/21/2022 21:23:52",
"content": "forget it",
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"timestamp": "08/21/2022 22:23:54",
"content": "@اليمني Has your question been resolved?",
"attachments": [],
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"id": 1011117224410480600,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/21/2022 23:38:51",
"content": "so what do you want help with @اليمني",
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"timestamp": "08/21/2022 23:39:50",
"content": "I already moved on.",
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"timestamp": "08/21/2022 23:40:00",
"content": "on this",
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"timestamp": "08/22/2022 01:40:00",
"content": "@اليمني Has your question been resolved?",
"attachments": [],
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{
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"author_name": "اليمني",
"timestamp": "08/22/2022 01:42:31",
"content": "No finished ku whole fucking assignment already",
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},
{
"id": 1011154777977131000,
"author_id": 381633089891336200,
"author_name": "MellowDramaLlama",
"timestamp": "08/22/2022 02:08:05",
"content": "@اليمني fwiw the rules ask that you show what work you have done or to be concise with your question. What exactly are you having an issue with? All we see is just a screenshot of a question, so we have no idea what you need help with",
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"timestamp": "08/22/2022 05:42:31",
"content": "@اليمني Has your question been resolved?",
"attachments": [],
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},
{
"id": 1011269142243979400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/22/2022 09:42:31",
"content": "Channel closed",
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] |
help-9
|
584677185ff24231b98527dade6ef4c7
|
197,941 |
[
{
"id": 1011269394845925500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/22/2022 09:43:32",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1011269745833685000,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "08/22/2022 09:44:55",
"content": "If a math book states theorem after theorem without proof, should you try proving them or search up proofs?",
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"timestamp": "08/22/2022 09:44:56",
"content": "Pinned a message.",
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"author_id": 733586866003116000,
"author_name": "Andrea276",
"timestamp": "08/22/2022 09:51:14",
"content": "Depends what your goal with it is. If you are interested in trying to prove the theorems do it. If you want to look them up online, you can do that too. You can go through theorems without learning how to prove them too.",
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"id": 1011272094945914900,
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"author_name": "Kepe",
"timestamp": "08/22/2022 09:54:15",
"content": "What would you advise to do?\nTrying to prove them myself first, then looking up the proofs?",
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"author_name": "Boytjie",
"timestamp": "08/22/2022 09:54:16",
"content": "Books usually do this for three reasons:\n1. The proof is just too big or goes beyond the scope of the book.\n2. The proof is left as an exercise.\n3. The proof will be shown later, but the author wants to show you the theorem.\n\nIn the first case, you should already either know the proof, or you can look if you're interested. There is no necessity.\nIn the second, you should do it.\nIn the third, just be patient.",
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"id": 1011272483518820400,
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"author_name": "Kepe",
"timestamp": "08/22/2022 09:55:48",
"content": "> goes beyond the scope of the book.\nSo you don't know the methods used in the proof at that time since they are too complicated?",
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"author_name": "Boytjie",
"timestamp": "08/22/2022 09:56:24",
"content": "Well there are usually two reasons that something might be beyond the scope of the book",
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"id": 1011272850558165100,
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"author_name": "Boytjie",
"timestamp": "08/22/2022 09:57:16",
"content": "The first is that it's considered background. For example, most math books will not teach you how to add numbers because that is considered common knowledge. Similarly, rep theory books will not teach you the subgroup criterion, and will instead assume it without proof.",
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"id": 1011272892211802200,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "08/22/2022 09:57:26",
"content": "The second is indeed that the methods are just too complex.",
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},
{
"id": 1011272967298220000,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "08/22/2022 09:57:43",
"content": "(Or perhaps more accurately, the methods are not the ones that the author wants to talk about in the book)",
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"id": 1011273012315689100,
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"author_name": "Kepe",
"timestamp": "08/22/2022 09:57:54",
"content": "> The second is indeed that the methods are just too complex.\nIn that case, should you just use the theorem without knowing how to prove it or learn the methods?",
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"author_name": "Boytjie",
"timestamp": "08/22/2022 09:58:21",
"content": "That is usually the intention of the author, yes. If you are interested though, there's nothing wrong with learning the proof.",
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},
{
"id": 1011273160299122700,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "08/22/2022 09:58:29",
"content": "Isn't using it without knowing how to prove it kinda odd?",
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"id": 1011273217048072200,
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"author_name": "Boytjie",
"timestamp": "08/22/2022 09:58:43",
"content": "Not really",
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"author_name": "Boytjie",
"timestamp": "08/22/2022 09:59:09",
"content": "For example, I don't think you know how to prove that a + b = b + a for all integers. Are you uncomfortable with using that fact?",
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"id": 1011273369452282000,
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"author_name": "Boytjie",
"timestamp": "08/22/2022 09:59:19",
"content": "I am assuming here; perhaps you do know",
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"id": 1011273571051503600,
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"author_name": "Kepe",
"timestamp": "08/22/2022 10:00:07",
"content": "so it's fine to still use theorems you don't know how to prove",
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"timestamp": "08/22/2022 10:00:13",
"content": "Yes, they're theorems",
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"id": 1011273747820449800,
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"author_name": "Kepe",
"timestamp": "08/22/2022 10:00:50",
"content": "thx, also, your About Me cursed me, if I can't easily prove all theorems now I'm disappointed",
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"author_name": "Kepe",
"timestamp": "08/22/2022 10:00:53",
"content": ".close",
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"timestamp": "08/22/2022 10:00:54",
"content": "Channel closed",
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}
] |
help-9
|
208ed34b063b4722b45efb1da737fcf0
|
197,942 |
[
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"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "08/22/2022 10:01:06",
"content": "I will lift the curse 🪄",
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"timestamp": "08/22/2022 10:01:12",
"content": "thx!",
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{
"id": 1011274017333858400,
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"author_name": "Mathematics Bot",
"timestamp": "08/22/2022 10:01:54",
"content": "Available help channel!",
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},
{
"id": 1011275085463703600,
"author_id": 701704062994743400,
"author_name": "sLoct",
"timestamp": "08/22/2022 10:06:08",
"content": "guys can someone show me how to do 3b",
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"timestamp": "08/22/2022 10:06:10",
"content": "Pinned a message.",
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"author_id": 701704062994743400,
"author_name": "sLoct",
"timestamp": "08/22/2022 10:06:17",
"content": "Or narrate the steps I should do",
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},
{
"id": 1011275626042364000,
"author_id": 347122115071442940,
"author_name": "Syrenate",
"timestamp": "08/22/2022 10:08:17",
"content": "if the roots of a quadratic are x_1 and x_2, the quadratic can be written as (x - x_1)(x - x_2) = 0",
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},
{
"id": 1011275898089115600,
"author_id": 701704062994743400,
"author_name": "sLoct",
"timestamp": "08/22/2022 10:09:22",
"content": "x_1 = loga(b) and x_2 = 2logb(a)?",
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},
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"id": 1011275921979887600,
"author_id": 347122115071442940,
"author_name": "Syrenate",
"timestamp": "08/22/2022 10:09:28",
"content": "yeah",
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},
{
"id": 1011275942963982500,
"author_id": 701704062994743400,
"author_name": "sLoct",
"timestamp": "08/22/2022 10:09:33",
"content": "So what is x",
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},
{
"id": 1011276011754770400,
"author_id": 347122115071442940,
"author_name": "Syrenate",
"timestamp": "08/22/2022 10:09:49",
"content": "a variable?",
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},
{
"id": 1011276110719353000,
"author_id": 701704062994743400,
"author_name": "sLoct",
"timestamp": "08/22/2022 10:10:13",
"content": "I mean in this case here in this equation",
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},
{
"id": 1011276899047198700,
"author_id": 701704062994743400,
"author_name": "sLoct",
"timestamp": "08/22/2022 10:13:21",
"content": "Please bro help me I don't get it yet",
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},
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"id": 1011277744195260400,
"author_id": 347122115071442940,
"author_name": "Syrenate",
"timestamp": "08/22/2022 10:16:42",
"content": "trying lol",
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},
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"id": 1011279708694003700,
"author_id": 347122115071442940,
"author_name": "Syrenate",
"timestamp": "08/22/2022 10:24:31",
"content": "is there any other context to the question @sLoct ?",
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"timestamp": "08/22/2022 10:29:31",
"content": "@sLoct Has your question been resolved?",
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"timestamp": "08/22/2022 10:31:23",
"content": "Nope",
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"timestamp": "08/22/2022 10:44:31",
"content": "Channel closed",
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}
] |
help-9
|
35f6a1eb93384d2d94a1cfd23efd107c
|
197,943 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/22/2022 11:16:10",
"content": "Available help channel!",
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},
{
"id": 1011292771329519600,
"author_id": 547019154549506050,
"author_name": "ZeTi",
"timestamp": "08/22/2022 11:16:25",
"content": "I'm sitting here with a math assignment, where I have to calculate 5-3*2\n\nBut everywhere I do it, I get the result of -1, I'm so confused, it feels like I have a stroke",
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"timestamp": "08/22/2022 11:16:26",
"content": "Pinned a message.",
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"id": 1011292907023646700,
"author_id": 797149675126915200,
"author_name": "dabbingpotato",
"timestamp": "08/22/2022 11:16:57",
"content": "ok, what did you do?",
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"id": 1011292921917624300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "08/22/2022 11:17:01",
"content": "and what is the problem?",
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},
{
"id": 1011293071113195500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/22/2022 11:17:37",
"content": "well -1 would be correct\nwhat's the issue",
"attachments": [],
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},
{
"id": 1011293113018499200,
"author_id": 547019154549506050,
"author_name": "ZeTi",
"timestamp": "08/22/2022 11:17:47",
"content": "How is it -1? I don't get it",
"attachments": [],
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"id": 1011293129523073000,
"author_id": 797149675126915200,
"author_name": "dabbingpotato",
"timestamp": "08/22/2022 11:17:50",
"content": "5 - 6",
"attachments": [],
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},
{
"id": 1011293157851402400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/22/2022 11:17:57",
"content": "order of operations",
"attachments": [],
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},
{
"id": 1011293184300695700,
"author_id": 547019154549506050,
"author_name": "ZeTi",
"timestamp": "08/22/2022 11:18:04",
"content": "I am stupid",
"attachments": [],
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},
{
"id": 1011293194622873700,
"author_id": 797149675126915200,
"author_name": "dabbingpotato",
"timestamp": "08/22/2022 11:18:06",
"content": "5 - (3*2)",
"attachments": [],
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},
{
"id": 1011293207306449000,
"author_id": 547019154549506050,
"author_name": "ZeTi",
"timestamp": "08/22/2022 11:18:09",
"content": "Hahaha",
"attachments": [],
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},
{
"id": 1011293215653114000,
"author_id": 797149675126915200,
"author_name": "dabbingpotato",
"timestamp": "08/22/2022 11:18:11",
"content": "far from it ^^",
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"id": 1011293220438818800,
"author_id": 547019154549506050,
"author_name": "ZeTi",
"timestamp": "08/22/2022 11:18:12",
"content": "I think too fast",
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},
{
"id": 1011293226973528200,
"author_id": 490868409198837760,
"author_name": "interstellar_",
"timestamp": "08/22/2022 11:18:14",
"content": "Order of Operations: We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction.",
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},
{
"id": 1011293308548559000,
"author_id": 547019154549506050,
"author_name": "ZeTi",
"timestamp": "08/22/2022 11:18:33",
"content": "LOL thank you guys, Idk how I messed up this bad haha",
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{
"id": 1011293361489051600,
"author_id": 547019154549506050,
"author_name": "ZeTi",
"timestamp": "08/22/2022 11:18:46",
"content": ".close",
"attachments": [],
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},
{
"id": 1011293364064358500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/22/2022 11:18:46",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
d9b969a6d5be4927b5433aa6a424adea
|
197,944 |
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{
"id": 1011313106447773700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/22/2022 12:37:13",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1011320221694431200,
"author_id": 82571676272820220,
"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:05:30",
"content": "Hello guys. Could someone please explain me what these bows mean with i is element of I under them? I try to understand them but it's really difficult to grasp it for me",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1011320218645188658/20220822_190412.jpg",
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"author_id": 805217272087838700,
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"timestamp": "08/22/2022 13:05:31",
"content": "Pinned a message.",
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"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "08/22/2022 13:07:18",
"content": "Do you know these symbols for 2 sets:\n$A \\cap B$, $A \\cup B$ ?",
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"id": 1011320687140548600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/22/2022 13:07:21",
"content": "**Janox**",
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"author_id": 82571676272820220,
"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:07:41",
"content": "Yes",
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},
{
"id": 1011320805801599100,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "08/22/2022 13:07:49",
"content": "It's basically the same, just generalised for an arbitrary amount of sets",
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},
{
"id": 1011320891453489200,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "08/22/2022 13:08:09",
"content": "Intersection: Be in all of the sets, Union: Be in at least 1 set",
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},
{
"id": 1011321103806902400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "08/22/2022 13:09:00",
"content": "do you maybe know the sigma notation $\\sum_{k=1}^n k$ for sums? this is the same but for intersections and unions",
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"id": 1011321116301721700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/22/2022 13:09:03",
"content": "**Denascite**",
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"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:10:19",
"content": "",
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"id": 1011321491016654800,
"author_id": 82571676272820220,
"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:10:32",
"content": "OK that I dosry under",
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"author_id": 82571676272820220,
"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:10:48",
"content": "Sry i don't know how I got the Foto in here now",
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},
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"author_id": 82571676272820220,
"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:10:54",
"content": "Didn't want to sorry",
"attachments": [],
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},
{
"id": 1011321742104461300,
"author_id": 82571676272820220,
"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:11:32",
"content": "So ok it's for sets. But why does that mean for all i in the first one in the second one it means just for some of the i",
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"author_name": "Janox",
"timestamp": "08/22/2022 13:12:11",
"content": "So in the first it says, x is in the set, if x € M_i for all i.",
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"author_name": "rbit ✨",
"timestamp": "08/22/2022 13:12:20",
"content": "but be careful, you have an index set I, and it could be anything, it could be I={1,2,3}, then its the intersection/union of three sets M1, M2, M3, it could be I=|N, then its the intersection/union of infinitely many sets M1, M2, M3, M4, ...",
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"id": 1011322028785143900,
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"author_name": "Janox",
"timestamp": "08/22/2022 13:12:41",
"content": "$\\forall$",
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{
"id": 1011322039497396400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/22/2022 13:12:43",
"content": "**Janox**",
"attachments": [
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"id": 1011322052474585200,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "08/22/2022 13:12:46",
"content": "= For all",
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{
"id": 1011322087023063000,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "08/22/2022 13:12:55",
"content": "$\\exists$",
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},
{
"id": 1011322098905526400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/22/2022 13:12:57",
"content": "**Janox**",
"attachments": [
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"id": 1011322121043066900,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "08/22/2022 13:13:03",
"content": "= exists (at least 1)",
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"id": 1011322452657324000,
"author_id": 82571676272820220,
"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:14:22",
"content": "Yes let's say I have M1 M2 and M3 in the first one is just {1} in the second one {2} and the third one {3}... The first one on the top means it must be a void set?\n\nAnd in the last one it means {1,2,3}?",
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"id": 1011322515542528100,
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"author_name": "Janox",
"timestamp": "08/22/2022 13:14:37",
"content": "Correct",
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"author_name": "rbit ✨",
"timestamp": "08/22/2022 13:14:41",
"content": "yeah",
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"author_id": 82571676272820220,
"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:15:15",
"content": "Oh ok. And why does the last one say it must at least exist one i in I?",
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"id": 1011322776013000800,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "08/22/2022 13:15:39",
"content": "its just some way to write down an intersection/union for arbitrarily many sets, not just 2",
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"id": 1011322846598942800,
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"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:15:56",
"content": "OK I understand it now I guess. Ty guys",
"attachments": [],
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},
{
"id": 1011323071887581200,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "08/22/2022 13:16:49",
"content": "because for x to be in the union, there has to be at least one Mi which contains x",
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"id": 1011323305199927400,
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"author_name": "Janox",
"timestamp": "08/22/2022 13:17:45",
"content": "In your example, I = {1,2,3}. For example 1 is in the union because there is 1 € I with 1 € M_1.",
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"author_name": "rbit ✨",
"timestamp": "08/22/2022 13:17:58",
"content": "and i€I is just the index, for every i in I there is a set Mi",
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},
{
"id": 1011323574084178000,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "08/22/2022 13:18:49",
"content": "And 1 is not in the intersection because 1 is not in all of the M_i's, for example 1 not in M2",
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"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:22:07",
"content": "Hmmm I think I got it. So the last one says that there is at least one in the whole set of M1s that contains at least x.\n\nBut one last question. If i is an element if I then the first symbol makes no sense. Shouldn't it always be a void set? Cause 2 same elemtents can't be in one set.",
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"id": 1011324753551831200,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "08/22/2022 13:23:30",
"content": "you mean for the intersection?",
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"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:24:05",
"content": "Yeah for the top symbol. Don't know how it's called in English. The rainbow like one showing to the top",
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"id": 1011325078178369500,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "08/22/2022 13:24:48",
"content": "durchschnitt/intersection",
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{
"id": 1011325474321989800,
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"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:26:22",
"content": "Yes it's durschnitt\t/intersection the one ^^ danke. It should always be a void set cause if there is a intersection of always different elementsets",
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"author_name": "rbit ✨",
"timestamp": "08/22/2022 13:26:41",
"content": "well its just saying that x has to be in every Mi, only then is it inside the intersection",
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"author_name": "rbit ✨",
"timestamp": "08/22/2022 13:27:10",
"content": "so ofc there needs to be some kind of overlap in these Mi so that its not void",
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},
{
"id": 1011325740400255000,
"author_id": 82571676272820220,
"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:27:26",
"content": "OK perfect",
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},
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"id": 1011325763741552600,
"author_id": 82571676272820220,
"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:27:31",
"content": "Thank you so much guys.",
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},
{
"id": 1011325826077294600,
"author_id": 82571676272820220,
"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:27:46",
"content": "You are awesome. I wish I had mentors like you 👍",
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},
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"id": 1011326707183145100,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "08/22/2022 13:31:16",
"content": "Let $M_i = \\{1,2,3\\}$ for $i \\in \\{1,...,100\\}$\nYou can try calculating this one. It's certainly not empty 🙂\n$\\bigcap_{i \\in \\{1,...,100\\}}M_{i}$",
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},
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"id": 1011326896283336700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/22/2022 13:32:01",
"content": "**Janox**",
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"author_name": "Janox",
"timestamp": "08/22/2022 13:34:20",
"content": "Or something like this. Maybe more interesting\n$$\\bigcap_{i \\in \\{1,...,100\\}} \\{1,...,i\\}$$",
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},
{
"id": 1011327490691706900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/22/2022 13:34:23",
"content": "**Janox**",
"attachments": [
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"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:36:28",
"content": "Isn't it then {1,..,100} then?",
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},
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"id": 1011328032369291400,
"author_id": 82571676272820220,
"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:36:32",
"content": "The last one",
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"author_name": "Janox",
"timestamp": "08/22/2022 13:37:15",
"content": "Nope. For example 100 is not in this set, because 100 is not in {1,...,99}",
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"author_id": 688374781858545800,
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"timestamp": "08/22/2022 13:37:24",
"content": "This is for i = 99",
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},
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"id": 1011328335160291300,
"author_id": 82571676272820220,
"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:37:44",
"content": "Oh a now I understand. It must be {1}",
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"id": 1011328358086353000,
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"timestamp": "08/22/2022 13:37:50",
"content": "Yes!",
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"id": 1011328370451152900,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "08/22/2022 13:37:53",
"content": "Nice",
"attachments": [],
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},
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"id": 1011328384443355300,
"author_id": 82571676272820220,
"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:37:56",
"content": "Cause it's always in",
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},
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"id": 1011328459932434600,
"author_id": 82571676272820220,
"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:38:14",
"content": "Oh man ty now I get it",
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},
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"id": 1011329064210010200,
"author_id": 82571676272820220,
"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:40:38",
"content": "Ty janox. Do you have any Tipps for learning math? I have problems with doing stuff on my own without asking. And I have problems doing theory into practice... Is that normal?",
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"id": 1011329221232181400,
"author_id": 82571676272820220,
"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:41:15",
"content": "@Janox 😩",
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"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "08/22/2022 13:41:54",
"content": "How long have you been doing this kind of math?",
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"id": 1011329436139933800,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "08/22/2022 13:42:07",
"content": "If you are just getting started, that's perfectly normal",
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{
"id": 1011329480142364800,
"author_id": 82571676272820220,
"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:42:17",
"content": "Relativ new. Have an examn in like 9 days 😫",
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},
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"id": 1011329545636430000,
"author_id": 82571676272820220,
"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:42:33",
"content": "Complex numbers and so on",
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},
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"id": 1011329712825569400,
"author_id": 82571676272820220,
"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:43:13",
"content": "And I don't want to get on people's nerf getting in here asking",
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},
{
"id": 1011329785173123100,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "08/22/2022 13:43:30",
"content": "Well 9 days is kind of short to be learning new things.😅 \nBest is to regularly practice and try getting feedback from others.",
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"timestamp": "08/22/2022 13:43:45",
"content": "Ty",
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},
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"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "08/22/2022 13:44:37",
"content": "Do lots of problems. That's the best way I think.",
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},
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"id": 1011330144587235500,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "08/22/2022 13:44:56",
"content": "Know your definitions etc.",
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},
{
"id": 1011330272551260300,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "08/22/2022 13:45:26",
"content": "Understand why the are relevant",
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},
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"id": 1011330308697759900,
"author_id": 82571676272820220,
"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:45:35",
"content": "Is there a side where I can practice lots of solutions like this ones? I just got university problems but no solutions at all",
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},
{
"id": 1011330416122273800,
"author_id": 82571676272820220,
"author_name": "TouchTheSky123",
"timestamp": "08/22/2022 13:46:00",
"content": "Or at least a side where you practiced them",
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"id": 1011330757161144400,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "08/22/2022 13:47:22",
"content": "Dunno😅 Try searching the web for your field of interest. \"Set theory problems\"",
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},
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"id": 1011330815948509200,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "08/22/2022 13:47:36",
"content": "You will find something, I'm sure",
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},
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"author_id": 82571676272820220,
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"timestamp": "08/22/2022 13:48:20",
"content": "OK 👍",
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},
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"author_name": "Mathematics Bot",
"timestamp": "08/22/2022 14:03:20",
"content": "@TouchTheSky123 Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
48b0fed1f89f4d3e83d667df4e5f4cc4
|
197,945 |
[
{
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"author_name": "Mathematics Bot",
"timestamp": "08/22/2022 15:31:38",
"content": "Available help channel!",
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},
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"id": 1011358856875606100,
"author_id": 531524746895032400,
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"content": ".",
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"timestamp": "08/22/2022 15:39:04",
"content": "hi",
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},
{
"id": 1011358872503591000,
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"content": "Pinned a message.",
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"author_id": 531524746895032400,
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"timestamp": "08/22/2022 15:39:49",
"content": "Translation: Given two sets A and B .... Prove that given three sets X,Y and Z equals to:",
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"id": 1011359150778880100,
"author_id": 531524746895032400,
"author_name": "everytimecrusader",
"timestamp": "08/22/2022 15:40:11",
"content": "So what i did was:",
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"author_id": 531524746895032400,
"author_name": "everytimecrusader",
"timestamp": "08/22/2022 15:44:43",
"content": "got stuck",
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},
{
"id": 1011360335384563800,
"author_id": 531524746895032400,
"author_name": "everytimecrusader",
"timestamp": "08/22/2022 15:44:54",
"content": "is probably wrong too",
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},
{
"id": 1011360643267448800,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/22/2022 15:46:07",
"content": "$X \\cap (Y Δ Z)=X \\cap ((Y-Z) \\cup (Z-Y))=(X \\cap (Y-Z)) \\cup (X \\cap (Z-Y))=((X \\cap Y)-(X \\cap Y \\cap Z)) \\cup ((X \\cap Z)-(X \\cap Y \\cap Z))=((X \\cap Y)-(X \\cap Y)\\cap (X \\cap Z)) \\cup ((X \\cap Z)-(X \\cap Y)\\cap (X \\cap Z))=(X \\cap Y)Δ(X \\cap Z)$",
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},
{
"id": 1011360655716122600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/22/2022 15:46:10",
"content": "**Cogwheels of the mind**",
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"author_id": 531524746895032400,
"author_name": "everytimecrusader",
"timestamp": "08/22/2022 15:47:06",
"content": "Can you change \"-\" for ∩^-?",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/22/2022 15:47:25",
"content": "What?",
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},
{
"id": 1011360985401004000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/22/2022 15:47:29",
"content": "You used -",
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},
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"id": 1011361024500310000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/22/2022 15:47:38",
"content": "And n is intersection",
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},
{
"id": 1011361053453586600,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/22/2022 15:47:45",
"content": "Totally different thing",
"attachments": [],
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},
{
"id": 1011361127814418400,
"author_id": 531524746895032400,
"author_name": "everytimecrusader",
"timestamp": "08/22/2022 15:48:03",
"content": "No i know that, im reffering relations,",
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{
"id": 1011361211130056700,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/22/2022 15:48:22",
"content": "What relations",
"attachments": [],
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},
{
"id": 1011361228607738000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/22/2022 15:48:27",
"content": "I don’t understand",
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},
{
"id": 1011361302339391600,
"author_id": 531524746895032400,
"author_name": "everytimecrusader",
"timestamp": "08/22/2022 15:48:44",
"content": "Can the difference between terms be written as the intersection of the complement?",
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},
{
"id": 1011361478051365000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/22/2022 15:49:26",
"content": "No idea what you are talking about. I used symbols that are exactly used in your picture",
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},
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"id": 1011361595043094700,
"author_id": 531524746895032400,
"author_name": "everytimecrusader",
"timestamp": "08/22/2022 15:49:54",
"content": "=",
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}
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"id": 1011361646813384800,
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"author_name": "everytimecrusader",
"timestamp": "08/22/2022 15:50:06",
"content": "",
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{
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"timestamp": "08/22/2022 15:50:25",
"content": "No this is wrong",
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},
{
"id": 1011361867026931800,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/22/2022 15:50:59",
"content": "First line equals (second line with Y and Z switched places) though",
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},
{
"id": 1011361913713733800,
"author_id": 531524746895032400,
"author_name": "everytimecrusader",
"timestamp": "08/22/2022 15:51:10",
"content": "Got it thx",
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},
{
"id": 1011361936182628400,
"author_id": 531524746895032400,
"author_name": "everytimecrusader",
"timestamp": "08/22/2022 15:51:15",
"content": ".close",
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},
{
"id": 1011361939017969700,
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"author_name": "Mathematics Bot",
"timestamp": "08/22/2022 15:51:16",
"content": "Channel closed",
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}
] |
help-9
|
63e74a02b71948dfb546b80d62693618
|
197,946 |
[
{
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"timestamp": "08/22/2022 15:52:16",
"content": "Available help channel!",
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},
{
"id": 1011362378610397200,
"author_id": 243111081898278900,
"author_name": "Zinda",
"timestamp": "08/22/2022 15:53:01",
"content": "Hey guys do you know what are the odds to lose 4 times in a row with 75% chance to win a round with precision? sorry i'm still young and english isn't my main language",
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},
{
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"content": "Pinned a message.",
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"timestamp": "08/22/2022 16:08:02",
"content": "@Zinda Has your question been resolved?",
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"timestamp": "08/22/2022 16:53:02",
"content": "@Zinda Has your question been resolved?",
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"id": 1011391112272937100,
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"author_name": "themateo713",
"timestamp": "08/22/2022 17:47:11",
"content": "P(4 losses) = P(4 (not win)) = (1 - P(win))^4 = 0.25^4 = 1/4^4 = 1/256",
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},
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"timestamp": "08/22/2022 18:07:12",
"content": "@Zinda Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
3e8c0a56309d4211a1e28a9773cfb61e
|
197,947 |
[
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},
{
"id": 1011419855519502300,
"author_id": 277551573410775040,
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"content": "How do I become a helper?",
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"id": 1011419857285292000,
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"content": "Pinned a message.",
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"timestamp": "08/22/2022 19:48:46",
"content": "https://discord.com/channels/268882317391429632/525440994242461702/987801125094846485",
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},
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"id": 1011422230011465700,
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"timestamp": "08/22/2022 19:50:50",
"content": "Thanks.",
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},
{
"id": 1011422245060628500,
"author_id": 277551573410775040,
"author_name": "Masu_Maku",
"timestamp": "08/22/2022 19:50:54",
"content": ".close",
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},
{
"id": 1011422248025997300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/22/2022 19:50:55",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
d85a0a9decf749258b7fb48ef14414d7
|
197,948 |
[
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"id": 959918507791876100,
"author_id": 805217272087838700,
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"timestamp": "04/02/2022 16:53:26",
"content": "Available help channel!",
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},
{
"id": 959919714463780900,
"author_id": 807012756435763200,
"author_name": "XXXX",
"timestamp": "04/02/2022 16:58:14",
"content": "Is my answer correct?\nCan somoene check for me please?",
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},
{
"id": 959919716355432600,
"author_id": 805217272087838700,
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"timestamp": "04/02/2022 16:58:14",
"content": "Pinned a message.",
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"timestamp": "04/02/2022 17:20:00",
"content": "@XXXX Has your question been resolved?",
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{
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"nickname": "XXXX",
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"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 17:35:00",
"content": "Channel closed",
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}
] |
help-9
|
69f00217aac64684b58e2f6f1c8b6ad8
|
197,949 |
[
{
"id": 1011441568332398700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/22/2022 21:07:41",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011442294475456500,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:10:34",
"content": "",
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"id": 1011442296585199700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/22/2022 21:10:35",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1011442294475456500,
"channelId": 486844875632017400,
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{
"id": 1011443024917696500,
"author_id": 277551573410775040,
"author_name": "Masu_Maku",
"timestamp": "08/22/2022 21:13:28",
"content": "I ca help.",
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},
{
"id": 1011443043200680100,
"author_id": 277551573410775040,
"author_name": "Masu_Maku",
"timestamp": "08/22/2022 21:13:33",
"content": "can*",
"attachments": [],
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},
{
"id": 1011443148871962600,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:13:58",
"content": "hi",
"attachments": [],
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},
{
"id": 1011443199753068700,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:14:10",
"content": "for A would it be 22?",
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},
{
"id": 1011443886897496200,
"author_id": 277551573410775040,
"author_name": "Masu_Maku",
"timestamp": "08/22/2022 21:16:54",
"content": "Well, we know that there are 4 chairs per table, excluding the ends. So what is 4 times 5?",
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"reference": null
},
{
"id": 1011444114555936800,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:17:48",
"content": "20",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011444164577206400,
"author_id": 277551573410775040,
"author_name": "Masu_Maku",
"timestamp": "08/22/2022 21:18:00",
"content": "Great, now add the chairs on the end.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011444201398997000,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:18:09",
"content": "2",
"attachments": [],
"mentions": [],
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},
{
"id": 1011444218272686200,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:18:13",
"content": "22",
"attachments": [],
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},
{
"id": 1011444320815038500,
"author_id": 277551573410775040,
"author_name": "Masu_Maku",
"timestamp": "08/22/2022 21:18:37",
"content": "Yup, and repeat that process for B and C.",
"attachments": [],
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},
{
"id": 1011444354931511300,
"author_id": 277551573410775040,
"author_name": "Masu_Maku",
"timestamp": "08/22/2022 21:18:45",
"content": "There you go.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011444405271535700,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:18:57",
"content": "so b is",
"attachments": [],
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},
{
"id": 1011444436686872600,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:19:05",
"content": "4x11 + 2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011444470711074800,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:19:13",
"content": "44 + = 46",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011444479460380700,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:19:15",
"content": "Omg",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011444481490428000,
"author_id": 277551573410775040,
"author_name": "Masu_Maku",
"timestamp": "08/22/2022 21:19:16",
"content": "Yup",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011444552902656000,
"author_id": 277551573410775040,
"author_name": "Masu_Maku",
"timestamp": "08/22/2022 21:19:33",
"content": "Easier than it looks, huh?",
"attachments": [],
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},
{
"id": 1011444670632562800,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:20:01",
"content": "YEAH",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011444701401985000,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:20:08",
"content": "i didn’t know we had to add the ends",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011444716170133600,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:20:12",
"content": "i overthought it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011444724307079200,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:20:14",
"content": "okay c is",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011444727268266100,
"author_id": 277551573410775040,
"author_name": "Masu_Maku",
"timestamp": "08/22/2022 21:20:14",
"content": "Mhm.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011444744695591000,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:20:18",
"content": "we r finding the TABLES",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011444756808749000,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:20:21",
"content": "not the chairs this time",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011444762512986200,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:20:23",
"content": "so",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011444776769433700,
"author_id": 277551573410775040,
"author_name": "Masu_Maku",
"timestamp": "08/22/2022 21:20:26",
"content": "Mhm.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011444788387655700,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:20:29",
"content": "30 / 4?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011444821233250300,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:20:37",
"content": "or",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011444821254213800,
"author_id": 277551573410775040,
"author_name": "Masu_Maku",
"timestamp": "08/22/2022 21:20:37",
"content": "Yes.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011444840401211500,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:20:41",
"content": "okay that’s 7.5",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011444862274523100,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:20:46",
"content": "so",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011444900690141300,
"author_id": 277551573410775040,
"author_name": "Masu_Maku",
"timestamp": "08/22/2022 21:20:56",
"content": "Wait.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011444916561387500,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:20:59",
"content": "yeah i’m confused",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011445151715041300,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:21:55",
"content": "or would we do",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011445183021322200,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:22:03",
"content": "30/2 = 15-4 = 11",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011445206714945500,
"author_id": 277551573410775040,
"author_name": "Masu_Maku",
"timestamp": "08/22/2022 21:22:09",
"content": "Ok, so.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011445273144348800,
"author_id": 277551573410775040,
"author_name": "Masu_Maku",
"timestamp": "08/22/2022 21:22:24",
"content": "How many chairs per table?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011445301162295400,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:22:31",
"content": "30",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011445330795053000,
"author_id": 277551573410775040,
"author_name": "Masu_Maku",
"timestamp": "08/22/2022 21:22:38",
"content": "...",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011445345978437600,
"author_id": 277551573410775040,
"author_name": "Masu_Maku",
"timestamp": "08/22/2022 21:22:42",
"content": "No, 4.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011445347526127600,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:22:42",
"content": "im@jk",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011445364701798400,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:22:46",
"content": "yeah 4",
"attachments": [],
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"reference": null
},
{
"id": 1011445374793285800,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:22:49",
"content": "n 2 at the ends",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011445463569936500,
"author_id": 277551573410775040,
"author_name": "Masu_Maku",
"timestamp": "08/22/2022 21:23:10",
"content": "so, subract the 2 ends from 30",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011445519798763500,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:23:23",
"content": "28",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011445561049751600,
"author_id": 277551573410775040,
"author_name": "Masu_Maku",
"timestamp": "08/22/2022 21:23:33",
"content": "Now divide by 4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011445565348925600,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:23:34",
"content": "28/4 = 7",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011445578183479300,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:23:37",
"content": "YIPPEE !!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011445615986745500,
"author_id": 277551573410775040,
"author_name": "Masu_Maku",
"timestamp": "08/22/2022 21:23:46",
"content": "There you go.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011445711998558200,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:24:09",
"content": "https://tenor.com/view/yippee-happy-celebration-joy-confetti-gif-25557730",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011446227205886100,
"author_id": 277551573410775040,
"author_name": "Masu_Maku",
"timestamp": "08/22/2022 21:26:12",
"content": "Now say \".close\"",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011446240225005700,
"author_id": 712904007567278100,
"author_name": "catjam",
"timestamp": "08/22/2022 21:26:15",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1011446243140063400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/22/2022 21:26:16",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
ef8d5ac2d81b47c7aa1ea449fb53362a
|
197,950 |
[
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/22/2022 21:36:17",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1011451344474882000,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "08/22/2022 21:46:32",
"content": "",
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"id": 1011451349076029400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/22/2022 21:46:33",
"content": "Pinned a message.",
"attachments": [],
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}
},
{
"id": 1011451405061607600,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "08/22/2022 21:46:46",
"content": "",
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{
"id": 1011451500020629500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/22/2022 21:47:09",
"content": "why did you include 2 for part b)",
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},
{
"id": 1011452308627935200,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "08/22/2022 21:50:22",
"content": "because its on 3",
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},
{
"id": 1011452380367310800,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "08/22/2022 21:50:39",
"content": "wait is it because there's a closed circle so dont use the open circle?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011452963832729600,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "08/22/2022 21:52:58",
"content": "why is the range wrong?\nshould it be (-2,3]?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011454084999549000,
"author_id": 921859660397543600,
"author_name": "retrohalo",
"timestamp": "08/22/2022 21:57:25",
"content": "the range is the y values so in this case i believe it is (3,0]",
"attachments": [],
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},
{
"id": 1011454112346423400,
"author_id": 921859660397543600,
"author_name": "retrohalo",
"timestamp": "08/22/2022 21:57:32",
"content": "for g",
"attachments": [],
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"reference": null
},
{
"id": 1011454258396287100,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "08/22/2022 21:58:07",
"content": "for part d?",
"attachments": [],
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},
{
"id": 1011454321486991500,
"author_id": 921859660397543600,
"author_name": "retrohalo",
"timestamp": "08/22/2022 21:58:22",
"content": "ye",
"attachments": [],
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},
{
"id": 1011454415233892400,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "08/22/2022 21:58:44",
"content": "not [0,3)?",
"attachments": [],
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"reference": null
},
{
"id": 1011454630888222800,
"author_id": 921859660397543600,
"author_name": "retrohalo",
"timestamp": "08/22/2022 21:59:35",
"content": "uhhh",
"attachments": [],
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"reference": null
},
{
"id": 1011454717588672500,
"author_id": 921859660397543600,
"author_name": "retrohalo",
"timestamp": "08/22/2022 21:59:56",
"content": "yeah that seems more correct",
"attachments": [],
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},
{
"id": 1011454829341724800,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "08/22/2022 22:00:23",
"content": "its apparently wrong",
"attachments": [],
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"reference": null
},
{
"id": 1011454845540110500,
"author_id": 921859660397543600,
"author_name": "retrohalo",
"timestamp": "08/22/2022 22:00:27",
"content": "wha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011454900544221200,
"author_id": 921859660397543600,
"author_name": "retrohalo",
"timestamp": "08/22/2022 22:00:40",
"content": "[0,3) or (3,0]?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011454927068999700,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "08/22/2022 22:00:46",
"content": "first one",
"attachments": [],
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},
{
"id": 1011455006454595600,
"author_id": 231419337771057150,
"author_name": "Lenny",
"timestamp": "08/22/2022 22:01:05",
"content": "",
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{
"id": 1011455042219409400,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "08/22/2022 22:01:13",
"content": "i thought i might be (0,3] because there's a closed circle at 3 and no circle at 0",
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},
{
"id": 1011456375089545300,
"author_id": 921859660397543600,
"author_name": "retrohalo",
"timestamp": "08/22/2022 22:06:31",
"content": "wait",
"attachments": [],
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},
{
"id": 1011456411374473300,
"author_id": 921859660397543600,
"author_name": "retrohalo",
"timestamp": "08/22/2022 22:06:40",
"content": "I think its 3 and -2",
"attachments": [],
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},
{
"id": 1011456441359540200,
"author_id": 921859660397543600,
"author_name": "retrohalo",
"timestamp": "08/22/2022 22:06:47",
"content": "circle at 3, nothing at -2",
"attachments": [],
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},
{
"id": 1011456691390382100,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "08/22/2022 22:07:47",
"content": "isn't range is y-values?",
"attachments": [],
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},
{
"id": 1011456746562261100,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "08/22/2022 22:08:00",
"content": "so it would be (-2,3]?",
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},
{
"id": 1011457694214918300,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "08/22/2022 22:11:46",
"content": "i think i already tried that",
"attachments": [],
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},
{
"id": 1011460294964433000,
"author_id": 610937873981636600,
"author_name": "Brotally",
"timestamp": "08/22/2022 22:22:06",
"content": ".close",
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},
{
"id": 1011460297644589000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/22/2022 22:22:06",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
1912b9e18600429887639ba6e8b85926
|
197,951 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/22/2022 22:23:07",
"content": "Available help channel!",
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},
{
"id": 1011464682206408800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/22/2022 22:39:32",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1011464680205733900,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1011466165488459800,
"author_id": 805217272087838700,
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"timestamp": "08/22/2022 22:45:25",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
3700a10790f443b9a7044030655ce7a5
|
197,952 |
[
{
"id": 1011467206086893600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/22/2022 22:49:34",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1011469232590033000,
"author_id": 217550495198347260,
"author_name": "TheArcFlash",
"timestamp": "08/22/2022 22:57:37",
"content": "Hello I need some help on how to solve a question. \n\nan aircraft that weighs 1200 kg and is travelling at 40 m/s collides with an aircraft that weighs 2500 kg. The aircraft stick together and travel at 13 m/s, stopping at a distance of 124.8 meters. How many seconds did they travel?",
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"id": 1011469235035312300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/22/2022 22:57:37",
"content": "Pinned a message.",
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"id": 1011469828294463500,
"author_id": 217550495198347260,
"author_name": "TheArcFlash",
"timestamp": "08/22/2022 22:59:59",
"content": "I would assume that the aircraft slowed down over this period of time, because i put an answer of 9.6 and it was wrong",
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"id": 1011473604145336400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/22/2022 23:14:59",
"content": "@TheArcFlash Has your question been resolved?",
"attachments": [],
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{
"id": 1011475257862934500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/22/2022 23:21:33",
"content": "use a physics equation",
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},
{
"id": 1011475652920221800,
"author_id": 217550495198347260,
"author_name": "TheArcFlash",
"timestamp": "08/22/2022 23:23:07",
"content": "well yes",
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},
{
"id": 1011475727469793400,
"author_id": 217550495198347260,
"author_name": "TheArcFlash",
"timestamp": "08/22/2022 23:23:25",
"content": "but i dont know which to use or how to go about figuring out which to use",
"attachments": [],
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},
{
"id": 1011475802937884700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/22/2022 23:23:43",
"content": "> aircraft stick together\nlook for one that models that situation",
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},
{
"id": 1011476134812196900,
"author_id": 217550495198347260,
"author_name": "TheArcFlash",
"timestamp": "08/22/2022 23:25:02",
"content": "the only one i can think of is p=mv",
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},
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"id": 1011476174318338000,
"author_id": 217550495198347260,
"author_name": "TheArcFlash",
"timestamp": "08/22/2022 23:25:12",
"content": "idk how to put little arrows over the p or the v",
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},
{
"id": 1011477109711065200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/22/2022 23:28:55",
"content": "that's momentum for one object",
"attachments": [],
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},
{
"id": 1011477156125233300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/22/2022 23:29:06",
"content": "find an equation that models two objects",
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},
{
"id": 1011477721450303500,
"author_id": 217550495198347260,
"author_name": "TheArcFlash",
"timestamp": "08/22/2022 23:31:21",
"content": "very well",
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},
{
"id": 1011477776819298400,
"author_id": 217550495198347260,
"author_name": "TheArcFlash",
"timestamp": "08/22/2022 23:31:34",
"content": "following that I can just find acceleration and then time right?",
"attachments": [],
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},
{
"id": 1011477939306635400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/22/2022 23:32:13",
"content": "try it",
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},
{
"id": 1011478057569239000,
"author_id": 217550495198347260,
"author_name": "TheArcFlash",
"timestamp": "08/22/2022 23:32:41",
"content": "i already got it wrong so there's no point, but I'll just verify with my teacher next class",
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},
{
"id": 1011478062069711000,
"author_id": 217550495198347260,
"author_name": "TheArcFlash",
"timestamp": "08/22/2022 23:32:42",
"content": "thank you",
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},
{
"id": 1011480436909809800,
"author_id": 217550495198347260,
"author_name": "TheArcFlash",
"timestamp": "08/22/2022 23:42:08",
"content": "wait a second im looking it up and it still gives me p=mv",
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},
{
"id": 1011483163073204200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/22/2022 23:52:58",
"content": "show what equation you think you're supposed to use",
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"id": 1011485245943599200,
"author_id": 217550495198347260,
"author_name": "TheArcFlash",
"timestamp": "08/23/2022 00:01:15",
"content": "I think it should be p=m1v1-m2v2",
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},
{
"id": 1011485273248510100,
"author_id": 217550495198347260,
"author_name": "TheArcFlash",
"timestamp": "08/23/2022 00:01:21",
"content": "idk how to put the triangles in front",
"attachments": [],
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/23/2022 00:31:21",
"content": "@TheArcFlash Has your question been resolved?",
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"id": 1011500375435657200,
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"author_name": "Mathematics Bot",
"timestamp": "08/23/2022 01:01:22",
"content": "Channel closed",
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}
] |
help-9
|
809aaf5f59724d62ac01e218fd72a02a
|
197,953 |
[
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"author_name": "Mathematics Bot",
"timestamp": "08/23/2022 01:02:22",
"content": "Available help channel!",
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},
{
"id": 1011504914184286300,
"author_id": 380961248197738500,
"author_name": "CEO of Africa",
"timestamp": "08/23/2022 01:19:24",
"content": "Hi,\nI have the following question from a year 11 methods textbook:",
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"author_name": "Mathematics Bot",
"timestamp": "08/23/2022 01:19:25",
"content": "Pinned a message.",
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"id": 1011504927836741800,
"author_id": 380961248197738500,
"author_name": "CEO of Africa",
"timestamp": "08/23/2022 01:19:27",
"content": "By also looking at the answer, I managed to figure out that the intended model that the question wants you to use is A = A0 * 10^(-kt) and to substitute t and initial value to find k. I have technically figured out the problem, however, I can't seem to figure out a logical way of aquiring the number 10. How did the 10 end up being in the model?",
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"id": 1011505231823122600,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "08/23/2022 01:20:40",
"content": "Probably a typo.",
"attachments": [],
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},
{
"id": 1011505462836998100,
"author_id": 380961248197738500,
"author_name": "CEO of Africa",
"timestamp": "08/23/2022 01:21:35",
"content": "I dont think its a typo. Im just wondering how the model equation ended up with a 10 in it. Because the 2 10s in the actual question are both referring to the A",
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},
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"id": 1011505484680933400,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "08/23/2022 01:21:40",
"content": "You should have an equation for half-lives? It's\nA = A0(1/2)^(t/lambda)",
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},
{
"id": 1011506066196009000,
"author_id": 380961248197738500,
"author_name": "CEO of Africa",
"timestamp": "08/23/2022 01:23:59",
"content": "This is what the textbook says (not actually related to the question, its just in the theory section):",
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"author_name": "CEO of Africa",
"timestamp": "08/23/2022 01:24:06",
"content": "Why is there a 2 in that formula",
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},
{
"id": 1011506164569227300,
"author_id": 380961248197738500,
"author_name": "CEO of Africa",
"timestamp": "08/23/2022 01:24:22",
"content": "But a 10 in the question im currently doing",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/23/2022 01:39:22",
"content": "@CEO of Africa Has your question been resolved?",
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"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "08/23/2022 01:49:19",
"content": "this is just wrong",
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"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "08/23/2022 01:50:06",
"content": "like it will work, but it's not standard, looks made up",
"attachments": [],
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},
{
"id": 1011513068158722200,
"author_id": 380961248197738500,
"author_name": "CEO of Africa",
"timestamp": "08/23/2022 01:51:48",
"content": "even if its made up, i cant make sense of it",
"attachments": [],
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"author_id": 380961248197738500,
"author_name": "CEO of Africa",
"timestamp": "08/23/2022 01:51:52",
"content": "where did they get the numbers from",
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{
"id": 1011513703407038500,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "08/23/2022 01:54:19",
"content": "if units of t is \"half-lifes\", A = A0×2^−t",
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"id": 1011513722864414700,
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"author_name": "frownyfrog",
"timestamp": "08/23/2022 01:54:24",
"content": "so k is 1",
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},
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"id": 1011513787054047400,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "08/23/2022 01:54:39",
"content": "but t is years",
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},
{
"id": 1011514065132208100,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "08/23/2022 01:55:46",
"content": "so t gets bigger, and k gets smaller proportionally",
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},
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"id": 1011514379042312300,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "08/23/2022 01:57:00",
"content": "it's totally arbitrary what number you use instead of 2",
"attachments": [],
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},
{
"id": 1011514419622191100,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "08/23/2022 01:57:10",
"content": "2 or 10 don't make more sense than each other",
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"author_name": "CEO of Africa",
"timestamp": "08/23/2022 01:57:46",
"content": "That is what I thought. However, at the end of the book, all these questions have a definitive answer. And the answer seemed to use 10",
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"id": 1011514585863430100,
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"author_name": "CEO of Africa",
"timestamp": "08/23/2022 01:57:50",
"content": "heres what i did",
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"author_id": 380961248197738500,
"author_name": "CEO of Africa",
"timestamp": "08/23/2022 01:58:16",
"content": "I also did it with 2, as the theory section hinted at using 2 for some reason. didnt get the right answer",
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"timestamp": "08/23/2022 01:58:24",
"content": "so this whole thing has me confused. I thought i was missing something big",
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"id": 1011515161196118100,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "08/23/2022 02:00:07",
"content": "no yeah, I'm missing something equally big in that case",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/23/2022 02:28:24",
"content": "@CEO of Africa Has your question been resolved?",
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"timestamp": "08/23/2022 03:33:21",
"content": "@CEO of Africa Has your question been resolved?",
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"author_id": 529746436703780860,
"author_name": "GalxyGamerz",
"timestamp": "08/23/2022 03:35:30",
"content": "@CEO of Africa 10% of the 10g plutonium means 1g of plutonium, it means the time in which the 10g of plutonium decays to 1g",
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"timestamp": "08/23/2022 03:50:11",
"content": "That's not exactly my question. I was wondering how we are supposed to know what the rate of decay is? Because in one section, the model is 2 and the next section the model randomly changes to 10",
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"timestamp": "08/23/2022 04:33:22",
"content": "Channel closed",
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] |
help-9
|
25ee975812164f83a94c971a40009e30
|
197,954 |
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"author_name": "Mathematics Bot",
"timestamp": "08/23/2022 04:34:22",
"content": "Available help channel!",
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},
{
"id": 1011554687956291600,
"author_id": 483060616664449000,
"author_name": "Ozurn",
"timestamp": "08/23/2022 04:37:11",
"content": "The first photo is the question and second is the answer. How can there be a value such as (5,-2) when x must be less than 3?",
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"id": 1011554689826959400,
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"content": "Pinned a message.",
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"content": "@Ozurn Has your question been resolved?",
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] |
help-9
|
8f34d126397942f28f63a7cb2965bc56
|
197,955 |
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{
"id": 1011562520709959700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/23/2022 05:08:18",
"content": "Available help channel!",
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{
"id": 1011564283752091600,
"author_id": 1001860180230819800,
"author_name": "VenusM2",
"timestamp": "08/23/2022 05:15:19",
"content": "I am stuck on this question, the translation to the question is\nas you can see there's a shape over there.\n\nit's given that AC -|- BC , PQ -|- AB, and BP -|- BC, I dont have a word for that symbol so if you are confused I'll try my best to explain.\n\nI need to prove that AC * BP = AB * BQ",
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"timestamp": "08/23/2022 05:15:19",
"content": "Pinned a message.",
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"author_id": 1001860180230819800,
"author_name": "VenusM2",
"timestamp": "08/23/2022 05:16:20",
"content": "and I am not sure how, seems like it's a subject that we didnt learn yet, it's in my high school summer work, we have a primary school -> middle school -> high school system",
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"id": 1011564977552900200,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:18:04",
"content": "use similarity ig",
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{
"id": 1011565145249546200,
"author_id": 1001860180230819800,
"author_name": "VenusM2",
"timestamp": "08/23/2022 05:18:44",
"content": "I am not sure how to prove that here, and I am not sure how it helps beyond angles, at this specific question",
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"id": 1011565172252475400,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:18:51",
"content": "umm",
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{
"id": 1011565212509409300,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:19:00",
"content": "notice that angle P = angle A",
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{
"id": 1011565236328874000,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:19:06",
"content": "no",
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"id": 1011565242767126500,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:19:07",
"content": "wait",
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{
"id": 1011565276850049000,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:19:15",
"content": "I mean",
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"id": 1011565284932472800,
"author_id": 1001860180230819800,
"author_name": "VenusM2",
"timestamp": "08/23/2022 05:19:17",
"content": "?",
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{
"id": 1011565298358440000,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:19:21",
"content": "wait",
"attachments": [],
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{
"id": 1011565309481717900,
"author_id": 1001860180230819800,
"author_name": "VenusM2",
"timestamp": "08/23/2022 05:19:23",
"content": "alr",
"attachments": [],
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"id": 1011565378251530200,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:19:40",
"content": "ok",
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"id": 1011565436661399600,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:19:54",
"content": "notice that Angle A = angle QBP",
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"id": 1011565481997648000,
"author_id": 1001860180230819800,
"author_name": "VenusM2",
"timestamp": "08/23/2022 05:20:04",
"content": "how?",
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{
"id": 1011565531410743400,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:20:16",
"content": "you can prov that by letting A = x",
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"id": 1011565533965066200,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:20:17",
"content": "so",
"attachments": [],
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},
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"id": 1011565580781891600,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:20:28",
"content": "angle ABC = 90 -x",
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"id": 1011565649165824000,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:20:44",
"content": "so angle QBP = 90 - (90-x) = x",
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"id": 1011565720343162900,
"author_id": 893827203798798300,
"author_name": "Gͥreͣyͫᵍᵒᵈ☀",
"timestamp": "08/23/2022 05:21:01",
"content": "u mean abc?",
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"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:21:02",
"content": "so angle A = angle QBP",
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"id": 1011565732842184700,
"author_id": 1001860180230819800,
"author_name": "VenusM2",
"timestamp": "08/23/2022 05:21:04",
"content": "angle ACB is 90*",
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"id": 1011565742640078800,
"author_id": 1001860180230819800,
"author_name": "VenusM2",
"timestamp": "08/23/2022 05:21:07",
"content": "you meant ABC?",
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{
"id": 1011565801247084500,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:21:21",
"content": "wait",
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{
"id": 1011565802392125400,
"author_id": 1001860180230819800,
"author_name": "VenusM2",
"timestamp": "08/23/2022 05:21:21",
"content": "oh alr",
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{
"id": 1011565881144377300,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:21:40",
"content": "yeah abc",
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"id": 1011565914178728100,
"author_id": 1001860180230819800,
"author_name": "VenusM2",
"timestamp": "08/23/2022 05:21:47",
"content": "alright",
"attachments": [],
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{
"id": 1011565940003065900,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:21:54",
"content": "so",
"attachments": [],
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},
{
"id": 1011566085604122600,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:22:28",
"content": "now by AA similarity criteria triangle ABC similar to triangle BPQ",
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"id": 1011566094462488700,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:22:30",
"content": "ig",
"attachments": [],
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},
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"id": 1011566454757392400,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:23:56",
"content": "use the sides ratio now ig",
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"id": 1011566520834457600,
"author_id": 1001860180230819800,
"author_name": "VenusM2",
"timestamp": "08/23/2022 05:24:12",
"content": "I cant prove the ratio without further info",
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"id": 1011566547199852500,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:24:18",
"content": "oh",
"attachments": [],
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"id": 1011566594125729800,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:24:30",
"content": "now since the triangles are similar",
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"id": 1011566610248650900,
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"author_name": "VenusM2",
"timestamp": "08/23/2022 05:24:33",
"content": "true",
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"id": 1011566651394764800,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:24:43",
"content": "AB/ AC = BP / BQ",
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{
"id": 1011566671489663000,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:24:48",
"content": "so",
"attachments": [],
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},
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"id": 1011566733842186200,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:25:03",
"content": "AB * BQ =BP * AC",
"attachments": [],
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},
{
"id": 1011566790796652700,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:25:16",
"content": "no",
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},
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"id": 1011567010586562600,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:26:09",
"content": "yes",
"attachments": [],
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},
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"id": 1011567019734356100,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:26:11",
"content": "ig",
"attachments": [],
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},
{
"id": 1011567136386334800,
"author_id": 1001860180230819800,
"author_name": "VenusM2",
"timestamp": "08/23/2022 05:26:39",
"content": "ohhhh alright",
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"id": 1011567163619934200,
"author_id": 1001860180230819800,
"author_name": "VenusM2",
"timestamp": "08/23/2022 05:26:45",
"content": "thanks I've got that",
"attachments": [],
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"id": 1011567210898145300,
"author_id": 1001860180230819800,
"author_name": "VenusM2",
"timestamp": "08/23/2022 05:26:57",
"content": "now there's another small thing in another question I am a bit confused about too",
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"id": 1011567421871628300,
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"author_name": "VenusM2",
"timestamp": "08/23/2022 05:27:47",
"content": "it's given that AC -|- BC, CD is the height of AB, and we need to prove ADC ~ ACB, I've proven that, now I need to prove AB * AD = AC^2, how and why?",
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"timestamp": "08/23/2022 05:28:23",
"content": "umm",
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"id": 1011567597466177700,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:28:29",
"content": "ADC ~ ACB from this",
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"id": 1011567632148856800,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:28:37",
"content": "find the side ratio",
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"id": 1011567655444029400,
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"author_name": "VenusM2",
"timestamp": "08/23/2022 05:28:43",
"content": "again not enough info",
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"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:28:48",
"content": "umm",
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"id": 1011567734833815600,
"author_id": 1001860180230819800,
"author_name": "VenusM2",
"timestamp": "08/23/2022 05:29:02",
"content": "consider the info i've written there all the info you initially get",
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"id": 1011567744640094200,
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"timestamp": "08/23/2022 05:29:04",
"content": "so no lengths",
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"timestamp": "08/23/2022 05:29:06",
"content": "since the triangles are similar equate the side ratios",
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"id": 1011567787371663400,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:29:14",
"content": "like",
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"id": 1011567819940429800,
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"author_name": "OmRolex02",
"timestamp": "08/23/2022 05:29:22",
"content": "AD/AC = AC / AB",
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"content": "what do we call this property?",
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"content": "I don't have a name for that in English, I am not completely sure",
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"content": "ok",
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"content": "whatever",
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"timestamp": "08/23/2022 05:30:12",
"content": "crossmultiply this",
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"content": "oh, with that I can conclude that AD * AB = AC * AC which is AC^2",
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"timestamp": "08/23/2022 05:31:20",
"content": "thanks, now one last thing before I am done",
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"timestamp": "08/23/2022 05:32:45",
"content": "on this shape AB splits angle <PAQ, and AC splits <PAS, it's also given that AP -|- BC, and this time I need to prove that CP * BP = AP^2 , I need and know how to prove that <CAB is 90* , from here, is that a similar way to the previous 2 questions I sent?",
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"content": "you just have to prove two triangles similar",
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"content": "hmm I see, thanks, rn just to figure out how they are similar",
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"timestamp": "08/23/2022 05:35:57",
"content": "thanks",
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"content": "@VenusM2 Has your question been resolved?",
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help-9
|
1ff4315d3a9e497b92f9876bdfdb5418
|
197,956 |
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"content": "In classifying differential equation, is having logarithm means it is non-linear?",
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"content": "Depends what it's the logarithm of",
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"content": "what is/are considered linear when it comes to logarithms?",
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"content": "Well what's your definition of a linear ODE?",
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"id": 1011584049145458700,
"author_id": 433223511314530300,
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"content": "something that has no trigo, exponential, square roots, variable of the dependent variable beside its derivatives",
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"content": "and square",
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"timestamp": "08/23/2022 06:41:54",
"content": "Okay you can add logarithm to that list",
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"content": "A linear ODE is linear in its dependent variable",
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"content": "Perhaps now you can figure out when adding a logarithm makes an ODE non linear depending on what it's applied to",
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"content": "And derivatives of the dependent variable",
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"content": "that's all, thanks!!",
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"content": "@Flay Has your question been resolved?",
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help-9
|
e83b4f4367884a8eb3a133a6da4d59e1
|
197,957 |
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"content": "I am confused the bottom one seems the most logical to me",
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"content": "But it’s being taught like this..",
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"timestamp": "08/23/2022 07:31:23",
"content": "Because of this video I’m watching",
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"content": "just substravt a^2 from both sides",
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"content": "I did and I get c² - a²",
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"content": "yup it is c^2-a^2",
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"content": "Not a² - c²?",
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"timestamp": "08/23/2022 07:33:37",
"content": "As per this video",
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"content": "no?",
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"content": "wha can you take the entire ss",
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"timestamp": "08/23/2022 07:33:57",
"content": "Why is this video showing it incorrectly",
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"timestamp": "08/23/2022 07:34:14",
"content": "or otherwise there is a mistake probably",
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"timestamp": "08/23/2022 07:34:25",
"content": "He says that b is always the smallest",
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"content": "And a is the largest",
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"content": "This is for conic sections ellipse btw",
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"content": "Not a typeo he has said it many times",
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"timestamp": "08/23/2022 07:35:22",
"content": "In this order",
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"timestamp": "08/23/2022 07:35:29",
"content": "oh I don't think I have studied that yet so I don't think I can answer this :hmmCat:",
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"timestamp": "08/23/2022 07:35:38",
"content": "Alright",
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"timestamp": "08/23/2022 07:35:49",
"content": "Anybody else know the answer to this one?",
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"timestamp": "08/23/2022 07:36:29",
"content": "Btw what is ss referring to?",
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"timestamp": "08/23/2022 07:36:48",
"content": "screenshot",
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"timestamp": "08/23/2022 07:36:52",
"content": "Ok",
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"timestamp": "08/23/2022 07:38:52",
"content": "Another screenshot to hopefully help explain a b and c",
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"timestamp": "08/23/2022 07:40:15",
"content": "But I still don’t understand why it’s b² = a² - c² rather than b² = c² - a²",
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"timestamp": "08/23/2022 07:45:44",
"content": "Also this is to calculate the focii",
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"timestamp": "08/23/2022 07:49:09",
"content": "√5 is the answer I just don’t understand why it’s b² = a² - c² rather than b² = c² - a². Is this formula using Pythagorean theorem?",
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"id": 1011603500871983200,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "08/23/2022 07:51:09",
"content": "Oh this is actually using a hyperbola to calculate",
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},
{
"id": 1011603528625700900,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "08/23/2022 07:51:15",
"content": "I looked it up and found this",
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},
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"id": 1011603656975597600,
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"author_name": "avidrunner",
"timestamp": "08/23/2022 07:51:46",
"content": "",
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"author_name": "avidrunner",
"timestamp": "08/23/2022 07:53:00",
"content": "Very interesting.. I am getting ahead of myself as I am still learning about ellipses and correlation to perfect circles if both focii are at the same position. Now I see how ellipses are connected to hyperbolas too",
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"id": 1011604161420337300,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "08/23/2022 07:53:46",
"content": "And all from cutting a cone in different ways, very fascinating stuff",
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},
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"author_name": "Mathematics Bot",
"timestamp": "08/23/2022 08:08:47",
"content": "@avidrunner Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/23/2022 08:23:47",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
a0b7109e506043fd8d44d09b6ab2dfb8
|
197,958 |
[
{
"id": 1011611966600646700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/23/2022 08:24:47",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1011613051604193300,
"author_id": 495863245668876300,
"author_name": "arti20",
"timestamp": "08/23/2022 08:29:06",
"content": "so i have a parrallelogram ABCD and the points E and F so that the vectors AE=EB and DF=2FE",
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},
{
"id": 1011613054649258000,
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"timestamp": "08/23/2022 08:29:07",
"content": "Pinned a message.",
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"author_id": 495863245668876300,
"author_name": "arti20",
"timestamp": "08/23/2022 08:29:38",
"content": "what i've done so far is make the drawing for it cause maybe it helps and i also tried something that lead nowhere useful",
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"id": 1011613482808000500,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "08/23/2022 08:30:49",
"content": "what do u need to calculate?",
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},
{
"id": 1011613518786744300,
"author_id": 495863245668876300,
"author_name": "arti20",
"timestamp": "08/23/2022 08:30:57",
"content": "oh right",
"attachments": [],
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"reference": null
},
{
"id": 1011613546934714400,
"author_id": 495863245668876300,
"author_name": "arti20",
"timestamp": "08/23/2022 08:31:04",
"content": "i gotta show that A F and C are coliniar",
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},
{
"id": 1011613594217107600,
"author_id": 495863245668876300,
"author_name": "arti20",
"timestamp": "08/23/2022 08:31:15",
"content": "(if that's the wrong word in english, for them to be on the same line)",
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},
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"id": 1011613678937850000,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "08/23/2022 08:31:35",
"content": "hm",
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},
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"id": 1011613961432604700,
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"author_name": "arti20",
"timestamp": "08/23/2022 08:32:43",
"content": "",
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"id": 1011614020559700100,
"author_id": 495863245668876300,
"author_name": "arti20",
"timestamp": "08/23/2022 08:32:57",
"content": "This is about as much as i was able to do before running out of ideas",
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},
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"id": 1011614556902142000,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "08/23/2022 08:35:05",
"content": "i have an idea but idk if it helps, u just need to prove F lies on diagonal of parallelogram AC",
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"author_id": 701468178148098000,
"author_name": "Озеро",
"timestamp": "08/23/2022 08:35:20",
"content": "AC go throw the midpoit DB. So F median point ADB",
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"author_name": "arti20",
"timestamp": "08/23/2022 08:35:28",
"content": "i did think of that but i got no clue how to get there",
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"id": 1011614676158783600,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "08/23/2022 08:35:33",
"content": "the diagonal thing could give some hints",
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},
{
"id": 1011614686585831400,
"author_id": 701468178148098000,
"author_name": "Озеро",
"timestamp": "08/23/2022 08:35:36",
"content": "Sorry my English",
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},
{
"id": 1011615088316272800,
"author_id": 495863245668876300,
"author_name": "arti20",
"timestamp": "08/23/2022 08:37:11",
"content": "im not really sure what a median point is",
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"id": 1011615129596608600,
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"author_name": "arti20",
"timestamp": "08/23/2022 08:37:21",
"content": "tried googling it and it didnt help",
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},
{
"id": 1011615327601303700,
"author_id": 701468178148098000,
"author_name": "Озеро",
"timestamp": "08/23/2022 08:38:09",
"content": "It's a point where all medians intersect",
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"author_id": 701468178148098000,
"author_name": "Озеро",
"timestamp": "08/23/2022 08:38:31",
"content": "Idk how it call on English",
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},
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"id": 1011615507838947300,
"author_id": 495863245668876300,
"author_name": "arti20",
"timestamp": "08/23/2022 08:38:51",
"content": "dont i need to prove that they intersect in F tho",
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},
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"id": 1011617304339042400,
"author_id": 495863245668876300,
"author_name": "arti20",
"timestamp": "08/23/2022 08:46:00",
"content": ".close",
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},
{
"id": 1011617307186970800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/23/2022 08:46:00",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
b0e504fdbce14979bb3dd08ecb2e5f11
|
197,959 |
[
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"id": 959929221550063600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 17:36:01",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 959931798694031500,
"author_id": 614531124848230500,
"author_name": "blurryFace",
"timestamp": "04/02/2022 17:46:15",
"content": "i know this is very simple but, if i try substituting anything looks even worse, how to begin making this?",
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"timestamp": "04/02/2022 18:00:51",
"content": "@Helpers",
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{
"id": 959935481259385000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 18:00:53",
"content": "Pinned a message.",
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{
"id": 959935761065582600,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "04/02/2022 18:02:00",
"content": "`• After 15 minutes, feel free to ping @Helpers.`",
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},
{
"id": 959935790148898800,
"author_id": 588408855667671000,
"author_name": "burakyep",
"timestamp": "04/02/2022 18:02:07",
"content": "I dont also know the answer but lets start from one point@blurryFace",
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"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "04/02/2022 18:02:17",
"content": "Oh give him a break it was 14",
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"id": 959935852203622500,
"author_id": 588408855667671000,
"author_name": "burakyep",
"timestamp": "04/02/2022 18:02:21",
"content": "First try to factorize first equation",
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},
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"id": 959936018314830000,
"author_id": 614531124848230500,
"author_name": "blurryFace",
"timestamp": "04/02/2022 18:03:01",
"content": "taking x out?",
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},
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"id": 959936118286065700,
"author_id": 588408855667671000,
"author_name": "burakyep",
"timestamp": "04/02/2022 18:03:25",
"content": "Um i dont english that much but you can see they both have x",
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},
{
"id": 959936173164351600,
"author_id": 588408855667671000,
"author_name": "burakyep",
"timestamp": "04/02/2022 18:03:38",
"content": "do x(something)",
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},
{
"id": 959936197159972900,
"author_id": 614531124848230500,
"author_name": "blurryFace",
"timestamp": "04/02/2022 18:03:44",
"content": "ok",
"attachments": [],
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},
{
"id": 959936468556583000,
"author_id": 614531124848230500,
"author_name": "blurryFace",
"timestamp": "04/02/2022 18:04:48",
"content": "and....?",
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},
{
"id": 959936552379756500,
"author_id": 588408855667671000,
"author_name": "burakyep",
"timestamp": "04/02/2022 18:05:08",
"content": "It is x(3x+y)=1",
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},
{
"id": 959936637943566500,
"author_id": 588408855667671000,
"author_name": "burakyep",
"timestamp": "04/02/2022 18:05:29",
"content": "Try to factorize second equation using two cubes formula",
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},
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"id": 959936826532057100,
"author_id": 614531124848230500,
"author_name": "blurryFace",
"timestamp": "04/02/2022 18:06:14",
"content": "and after?",
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},
{
"id": 959937131533434900,
"author_id": 588408855667671000,
"author_name": "burakyep",
"timestamp": "04/02/2022 18:07:26",
"content": "It is (x-y)(x+y)=-3",
"attachments": [],
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},
{
"id": 959937236311363700,
"author_id": 588408855667671000,
"author_name": "burakyep",
"timestamp": "04/02/2022 18:07:51",
"content": "Oh sorry",
"attachments": [],
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},
{
"id": 959937237741633500,
"author_id": 614531124848230500,
"author_name": "blurryFace",
"timestamp": "04/02/2022 18:07:52",
"content": "ok and i don't see past this",
"attachments": [],
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},
{
"id": 959937265042358400,
"author_id": 588408855667671000,
"author_name": "burakyep",
"timestamp": "04/02/2022 18:07:58",
"content": "This way doesnt work i think",
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},
{
"id": 959937352728461400,
"author_id": 588408855667671000,
"author_name": "burakyep",
"timestamp": "04/02/2022 18:08:19",
"content": "Are these numvers natural numbers",
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},
{
"id": 959937378749927600,
"author_id": 588408855667671000,
"author_name": "burakyep",
"timestamp": "04/02/2022 18:08:25",
"content": "Numbers",
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},
{
"id": 959937386995912700,
"author_id": 614531124848230500,
"author_name": "blurryFace",
"timestamp": "04/02/2022 18:08:27",
"content": "real ℝ",
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},
{
"id": 959938433336361000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/02/2022 18:12:37",
"content": "Solve first for y, then sub that into second.",
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"id": 959939031381180400,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/02/2022 18:14:59",
"content": "Gives me 8x^4 - 9x^2 + 1 = 0",
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},
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"id": 959939205037953200,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "04/02/2022 18:15:41",
"content": "Solvable with the quadratic formula",
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},
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"author_name": "blurryFace",
"timestamp": "04/02/2022 18:21:03",
"content": "what do i do with that though?",
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"author_name": "Kaynex",
"timestamp": "04/02/2022 18:21:39",
"content": "That's really just\n8u^2 - 9u + 1 = 0\nin disguise",
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"id": 959940812056187000,
"author_id": 614531124848230500,
"author_name": "blurryFace",
"timestamp": "04/02/2022 18:22:04",
"content": "oh, i haven't used that in a while",
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},
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"id": 959941821633544200,
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"author_name": "blurryFace",
"timestamp": "04/02/2022 18:26:05",
"content": "ok thx very much",
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"author_name": "ComplexVariable",
"timestamp": "04/02/2022 21:27:36",
"content": ".close",
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"author_name": "dk.dkn",
"timestamp": "04/02/2022 22:02:41",
"content": "??",
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},
{
"id": 959996334646100000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 22:02:42",
"content": "Pinned a message.",
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"content": "Cursed channel",
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"content": ".close",
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},
{
"id": 959996421518553200,
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"timestamp": "04/02/2022 22:03:02",
"content": "Channel closed",
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}
] |
help-9
|
54dc38e6dcaf442fa1a783fafe4a2d31
|
197,960 |
[
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"content": "Available help channel!",
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},
{
"id": 1011618853312270300,
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"timestamp": "08/23/2022 08:52:10",
"content": "Pinned a message.",
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"id": 1011619362643378200,
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"author_name": "Wig",
"timestamp": "08/23/2022 08:54:11",
"content": "nvm i used a tree",
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},
{
"id": 1011619374299361300,
"author_id": 591207421893148700,
"author_name": "Wig",
"timestamp": "08/23/2022 08:54:13",
"content": ".close",
"attachments": [],
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},
{
"id": 1011619376937586700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/23/2022 08:54:14",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
9ca572df7f57458ea776c63f841b009a
|
197,961 |
[
{
"id": 1011621382062354600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/23/2022 09:02:12",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1011621546034462800,
"author_id": 360300702183981060,
"author_name": "",
"timestamp": "08/23/2022 09:02:51",
"content": "how did it become 3p? Isn't suppose to be 1/3p?",
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{
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"timestamp": "08/23/2022 09:02:52",
"content": "Pinned a message.",
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}
},
{
"id": 1011621626212778100,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "08/23/2022 09:03:10",
"content": "cross multiplication",
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},
{
"id": 1011621973455016100,
"author_id": 511209824470564860,
"author_name": "Enoo58",
"timestamp": "08/23/2022 09:04:33",
"content": "they multiplied both sides by 3",
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{
"id": 1011622069823340500,
"author_id": 360300702183981060,
"author_name": "",
"timestamp": "08/23/2022 09:04:56",
"content": "oh bruh",
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},
{
"id": 1011622095807058000,
"author_id": 360300702183981060,
"author_name": "",
"timestamp": "08/23/2022 09:05:02",
"content": "so 1/3 is 3?",
"attachments": [],
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{
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"name": "Enoo58",
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}
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},
{
"id": 1011622344617365600,
"author_id": 511209824470564860,
"author_name": "Enoo58",
"timestamp": "08/23/2022 09:06:01",
"content": "$$3\\cdot p=3\\cdot\\frac{1}{3}(t-2)q$$",
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},
{
"id": 1011622368847876100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/23/2022 09:06:07",
"content": "no",
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"reference": null
},
{
"id": 1011622389714534500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/23/2022 09:06:12",
"content": "1/3 and 3 are not the same number",
"attachments": [],
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"reference": null
},
{
"id": 1011622403249557600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/23/2022 09:06:15",
"content": "ffs my internet is slow today sorry",
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},
{
"id": 1011622475475464300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/23/2022 09:06:33",
"content": "**Enoo58**",
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"id": 1011622631163830400,
"author_id": 511209824470564860,
"author_name": "Enoo58",
"timestamp": "08/23/2022 09:07:10",
"content": "and $3\\cdot\\frac{1}{3}=1$",
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},
{
"id": 1011622643490885800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/23/2022 09:07:13",
"content": "**Enoo58**",
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{
"id": 1011622722285093000,
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"timestamp": "08/23/2022 09:07:32",
"content": "ah",
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},
{
"id": 1011622803272908800,
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"timestamp": "08/23/2022 09:07:51",
"content": "alright thxs guys",
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},
{
"id": 1011622807479783600,
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"author_name": "",
"timestamp": "08/23/2022 09:07:52",
"content": ".close",
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},
{
"id": 1011622810742947800,
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"author_name": "Mathematics Bot",
"timestamp": "08/23/2022 09:07:53",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
4525908ae1db4acfaa6b268dd3737178
|
197,962 |
[
{
"id": 1011624072347660400,
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"author_name": "Mathematics Bot",
"timestamp": "08/23/2022 09:12:53",
"content": "Available help channel!",
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},
{
"id": 1011625023934562400,
"author_id": 746633892542283900,
"author_name": "The modest AI",
"timestamp": "08/23/2022 09:16:40",
"content": "how does that differentiation work?",
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"timestamp": "08/23/2022 09:16:41",
"content": "Pinned a message.",
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{
"id": 1011628164239331500,
"author_id": 212615178796269570,
"author_name": "Shiruzui",
"timestamp": "08/23/2022 09:29:09",
"content": "v^2 = x/2+9 so u must apply derivative to both sides (v^2)' = (x/2+9)'",
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},
{
"id": 1011628693073965000,
"author_id": 212615178796269570,
"author_name": "Shiruzui",
"timestamp": "08/23/2022 09:31:15",
"content": "What you do on one side of equality you need to do on the other side to be equivalent",
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},
{
"id": 1011629498254504000,
"author_id": 746633892542283900,
"author_name": "The modest AI",
"timestamp": "08/23/2022 09:34:27",
"content": "but normally",
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},
{
"id": 1011629550523924600,
"author_id": 746633892542283900,
"author_name": "The modest AI",
"timestamp": "08/23/2022 09:34:40",
"content": "when calculating we dont need to",
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},
{
"id": 1011629679196774500,
"author_id": 746633892542283900,
"author_name": "The modest AI",
"timestamp": "08/23/2022 09:35:10",
"content": "i mean if it was v = f(x), will just f(x)* f'(x)",
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},
{
"id": 1011629710708592800,
"author_id": 746633892542283900,
"author_name": "The modest AI",
"timestamp": "08/23/2022 09:35:18",
"content": "why do i differentiate now",
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},
{
"id": 1011632741193887700,
"author_id": 212615178796269570,
"author_name": "Shiruzui",
"timestamp": "08/23/2022 09:47:20",
"content": "for example you have\ny = mx+c\ny' = (mx+c)'\ny' = m",
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},
{
"id": 1011632961482932400,
"author_id": 212615178796269570,
"author_name": "Shiruzui",
"timestamp": "08/23/2022 09:48:13",
"content": "Did you notice that i've derived both sides?",
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},
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"id": 1011634221326024800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/23/2022 09:53:13",
"content": "@The modest AI Has your question been resolved?",
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"author_id": 746633892542283900,
"author_name": "The modest AI",
"timestamp": "08/23/2022 09:54:44",
"content": "yea",
"attachments": [],
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},
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"id": 1011634699053039700,
"author_id": 746633892542283900,
"author_name": "The modest AI",
"timestamp": "08/23/2022 09:55:07",
"content": "but diffentiating v^2 should give 2v why is the dv/dx left for",
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},
{
"id": 1011636231567839400,
"author_id": 212615178796269570,
"author_name": "Shiruzui",
"timestamp": "08/23/2022 10:01:12",
"content": "it's bcz u have to use the chain rule",
"attachments": [],
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},
{
"id": 1011637248854327400,
"author_id": 212615178796269570,
"author_name": "Shiruzui",
"timestamp": "08/23/2022 10:05:15",
"content": "First remember that dy/x = (dy/du)(du/dx). Now u want v^2 so u have to do (du^2/du)*du/dx where u = v and you get du^2/du = 2u",
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},
{
"id": 1011637438919213200,
"author_id": 212615178796269570,
"author_name": "Shiruzui",
"timestamp": "08/23/2022 10:06:00",
"content": "just to make it clear you can use another letter instead `u` to do the chain rule",
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},
{
"id": 1011637884501102700,
"author_id": 212615178796269570,
"author_name": "Shiruzui",
"timestamp": "08/23/2022 10:07:46",
"content": "also remember that you want to know dv/dx, okay?",
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},
{
"id": 1011637998246436900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/23/2022 10:08:14",
"content": "Channel closed",
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}
] |
help-9
|
ef951c76d8404e7b9e99a8d9614df002
|
197,963 |
[
{
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"author_id": 212615178796269570,
"author_name": "Shiruzui",
"timestamp": "08/23/2022 10:08:48",
"content": "doing so we have (2v)d(v)/dx = d(9+x/2)/dx",
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},
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"id": 1011638250043089000,
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"content": "Available help channel!",
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},
{
"id": 1011638337188155500,
"author_id": 212615178796269570,
"author_name": "Shiruzui",
"timestamp": "08/23/2022 10:09:34",
"content": "(2v)dv/dx = 1/2 -> dv/dx = 1/4v",
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},
{
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"timestamp": "08/23/2022 10:09:35",
"content": "Pinned a message.",
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"author_name": "Shiruzui",
"timestamp": "08/23/2022 10:09:51",
"content": ".close",
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},
{
"id": 1011638408147390600,
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"timestamp": "08/23/2022 10:09:51",
"content": "Channel closed",
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}
] |
help-9
|
7f55558ee67c47b48f4fe559baaa1ac9
|
197,964 |
[
{
"id": 1011640863757193200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/23/2022 10:19:37",
"content": "Available help channel!",
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},
{
"id": 1011641293874675700,
"author_id": 746633892542283900,
"author_name": "The modest AI",
"timestamp": "08/23/2022 10:21:19",
"content": "got it",
"attachments": [],
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},
{
"id": 1011641295577551000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/23/2022 10:21:20",
"content": "Pinned a message.",
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"author_id": 756698895425208300,
"author_name": "DharMannVEVO",
"timestamp": "08/23/2022 10:21:22",
"content": "Prove that: (Trigonometric identities)",
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"timestamp": "08/23/2022 10:21:23",
"content": ".close",
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},
{
"id": 1011641312916816000,
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"timestamp": "08/23/2022 10:21:24",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
c51666706da140409890efe5ef2cca13
|
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