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{
"id": 956439586068906000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 02:29:27",
"content": "Available help channel!",
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"id": 956439874074996900,
"author_id": 818355389115793500,
"author_name": "size matters",
"timestamp": "03/24/2022 02:30:35",
"content": "We are given that A = r^2 sin(2theta) + r^2 sin(2theta)cos(2theta). How do we find the value of theta for which A is stationary? [r is radius and therefore a constant]",
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"timestamp": "03/24/2022 02:30:36",
"content": "Pinned a message.",
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"id": 956440850743836700,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/24/2022 02:34:28",
"content": "What do you mean stationary",
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"id": 956440935233908700,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/24/2022 02:34:48",
"content": "like, a value for theta where no matter what you plug in for r, A will stay the same?",
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"id": 956441179149439000,
"author_id": 818355389115793500,
"author_name": "size matters",
"timestamp": "03/24/2022 02:35:46",
"content": "where dA/dtheta = 0",
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"id": 956442914425278500,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/24/2022 02:42:40",
"content": "ok like, am i dumb",
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{
"id": 956442989209739300,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/24/2022 02:42:58",
"content": "once you have a concrete number for theta, and plug it into the equation, you'll have A = something with r",
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"id": 956443048290701300,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/24/2022 02:43:12",
"content": "differentiating it with respect to theta would give you dA/dtheta = 0, no?",
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{
"id": 956443476759838700,
"author_id": 818355389115793500,
"author_name": "size matters",
"timestamp": "03/24/2022 02:44:54",
"content": "yes",
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"id": 956443529893253100,
"author_id": 818355389115793500,
"author_name": "size matters",
"timestamp": "03/24/2022 02:45:07",
"content": "yes",
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{
"id": 956443591293669400,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/24/2022 02:45:22",
"content": "doesn't that mean that any number for theta would answer the question?",
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{
"id": 956444765036105700,
"author_id": 818355389115793500,
"author_name": "size matters",
"timestamp": "03/24/2022 02:50:01",
"content": "our book defines a stationary point as a point where the gradient of the curve is 0 so we essentially need to find a value for theta for which the gradient is 0",
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{
"id": 956445298446704600,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/24/2022 02:52:09",
"content": "oh I'm stupid",
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{
"id": 956445303219843100,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/24/2022 02:52:10",
"content": "I get it",
"attachments": [],
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{
"id": 956445336002506800,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/24/2022 02:52:17",
"content": "have you differentiated both sides of that equation?",
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"id": 956445370970427400,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/24/2022 02:52:26",
"content": "(btw seems like you can factor out a ton there)",
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"id": 956445611585077400,
"author_id": 818355389115793500,
"author_name": "size matters",
"timestamp": "03/24/2022 02:53:23",
"content": "let x = theta for simplicity",
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{
"id": 956446014183706600,
"author_id": 818355389115793500,
"author_name": "size matters",
"timestamp": "03/24/2022 02:54:59",
"content": "after i factored i got this\nr^2(2sin(2x) - 2sin^2(2x)+2cos^2(2x))",
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"id": 956446171516248000,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/24/2022 02:55:37",
"content": "what??",
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"id": 956446220681875500,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/24/2022 02:55:48",
"content": "that doesn't look anything like this",
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{
"id": 956446237488459800,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/24/2022 02:55:52",
"content": "oh you differentiated",
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{
"id": 956446255058391000,
"author_id": 818355389115793500,
"author_name": "size matters",
"timestamp": "03/24/2022 02:55:57",
"content": "yeah",
"attachments": [],
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{
"id": 956446465503420400,
"author_id": 818355389115793500,
"author_name": "size matters",
"timestamp": "03/24/2022 02:56:47",
"content": "factoring this i got r^2(sin(2x) + sin(2x)cos(2x)) then i took out the r as it is a constant and differentiated",
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{
"id": 956446529512689800,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/24/2022 02:57:02",
"content": "ok I see",
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{
"id": 956446715328737300,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/24/2022 02:57:46",
"content": "shouldn't it be 2cos(2x) at the front",
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{
"id": 956446729140568000,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/24/2022 02:57:50",
"content": "other than that, it looks good",
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{
"id": 956446940416061400,
"author_id": 818355389115793500,
"author_name": "size matters",
"timestamp": "03/24/2022 02:58:40",
"content": "wait",
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{
"id": 956446988403093500,
"author_id": 818355389115793500,
"author_name": "size matters",
"timestamp": "03/24/2022 02:58:51",
"content": "im pretty sure i messed up while differentiating so let me do it again",
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{
"id": 956447282058915800,
"author_id": 818355389115793500,
"author_name": "size matters",
"timestamp": "03/24/2022 03:00:01",
"content": "OHH",
"attachments": [],
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},
{
"id": 956447350400888800,
"author_id": 818355389115793500,
"author_name": "size matters",
"timestamp": "03/24/2022 03:00:18",
"content": "oh yes",
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{
"id": 956447354003796000,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/24/2022 03:00:19",
"content": "got it?",
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{
"id": 956447376233594900,
"author_id": 818355389115793500,
"author_name": "size matters",
"timestamp": "03/24/2022 03:00:24",
"content": "man, yikes",
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{
"id": 956447379400310800,
"author_id": 818355389115793500,
"author_name": "size matters",
"timestamp": "03/24/2022 03:00:25",
"content": "yeah",
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{
"id": 956447439152357400,
"author_id": 818355389115793500,
"author_name": "size matters",
"timestamp": "03/24/2022 03:00:39",
"content": "that got me scratching my head for a while",
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{
"id": 956447445204754400,
"author_id": 818355389115793500,
"author_name": "size matters",
"timestamp": "03/24/2022 03:00:40",
"content": "thank you",
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},
{
"id": 956447525253054500,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/24/2022 03:00:59",
"content": "no problem haha",
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{
"id": 956447734443962400,
"author_id": 818355389115793500,
"author_name": "size matters",
"timestamp": "03/24/2022 03:01:49",
"content": ".close",
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},
{
"id": 956447736213950500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 03:01:50",
"content": "Channel closed",
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}
] |
help-9
|
3572d52e8b3e4e29999c429c9768cc99
|
199,666 |
[
{
"id": 970213398501548000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 02:41:39",
"content": "Available help channel!",
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},
{
"id": 970226173969825800,
"author_id": 811067240241299500,
"author_name": "Po",
"timestamp": "05/01/2022 03:32:25",
"content": "b) can u show full work of the question too on paper",
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{
"id": 970226175706300400,
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"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 03:32:26",
"content": "Pinned a message.",
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{
"id": 970228130851737600,
"author_id": 861909505075576800,
"author_name": "Elyazid",
"timestamp": "05/01/2022 03:40:12",
"content": "think of $fg(x) = f(g(x)) = g^2 + 1$",
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},
{
"id": 970228139936608400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/01/2022 03:40:14",
"content": "**Elyazid**",
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"id": 970228220442058800,
"author_id": 861909505075576800,
"author_name": "Elyazid",
"timestamp": "05/01/2022 03:40:33",
"content": "and solve for g",
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},
{
"id": 970228422443946000,
"author_id": 811067240241299500,
"author_name": "Po",
"timestamp": "05/01/2022 03:41:21",
"content": ".close",
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},
{
"id": 970228423945486300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 03:41:22",
"content": "Channel closed",
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}
] |
help-9
|
a6007c9a759441c49c746f51abb72ee9
|
199,667 |
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{
"id": 970228699280572500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 03:42:27",
"content": "Available help channel!",
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{
"id": 970236349842067500,
"author_id": 599992077094223900,
"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:12:51",
"content": "hello",
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{
"id": 970236351557550100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 04:12:52",
"content": "Pinned a message.",
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{
"id": 970236390325510100,
"author_id": 599992077094223900,
"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:13:01",
"content": "Can someone help with this stats question",
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{
"id": 970236448571805700,
"author_id": 789409080283627500,
"author_name": "loneWo15",
"timestamp": "05/01/2022 04:13:15",
"content": "sure bro",
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{
"id": 970236474521952300,
"author_id": 599992077094223900,
"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:13:21",
"content": "```\n2, 2, 3, 4, 5, 6, 5, 6, 7, 8, 8, 8, 8, 8, 9, 9, 10, 11, 11, 12\n```",
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{
"id": 970236568365326500,
"author_id": 599992077094223900,
"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:13:44",
"content": "I need to find its 25th percentile",
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},
{
"id": 970236574463844400,
"author_id": 599992077094223900,
"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:13:45",
"content": "?",
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},
{
"id": 970236613038837800,
"author_id": 599992077094223900,
"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:13:54",
"content": "The result comes as 5.25",
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{
"id": 970236650808569900,
"author_id": 599992077094223900,
"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:14:03",
"content": "which is Index position",
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},
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"id": 970236656781238300,
"author_id": 789409080283627500,
"author_name": "loneWo15",
"timestamp": "05/01/2022 04:14:05",
"content": "like the 25th percentile of the sum of all the elements ?",
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},
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"id": 970236764889428000,
"author_id": 789409080283627500,
"author_name": "loneWo15",
"timestamp": "05/01/2022 04:14:30",
"content": "5.25 well depending on the question it could be 5 or 6",
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"id": 970236871491874800,
"author_id": 599992077094223900,
"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:14:56",
"content": "how?",
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"id": 970236963229696000,
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"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:15:18",
"content": "5th element is 5 and 6th element is 6",
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"id": 970236982687060000,
"author_id": 599992077094223900,
"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:15:22",
"content": "so taking mean of two",
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"id": 970237031567478900,
"author_id": 599992077094223900,
"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:15:34",
"content": "it comes as 5.5",
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},
{
"id": 970237097917169700,
"author_id": 599992077094223900,
"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:15:50",
"content": "which means we can select either 5 or 6",
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{
"id": 970237109401182200,
"author_id": 446704648485863400,
"author_name": "Castroploiin¹",
"timestamp": "05/01/2022 04:15:53",
"content": "If the percentile comes as a decimal, you can choose to either round up or down.",
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"id": 970237116623773700,
"author_id": 599992077094223900,
"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:15:54",
"content": "??",
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"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:16:01",
"content": "oh",
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"timestamp": "05/01/2022 04:16:10",
"content": "ok",
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"author_id": 599992077094223900,
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"timestamp": "05/01/2022 04:16:19",
"content": "There is no constraint on it",
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"timestamp": "05/01/2022 04:16:26",
"content": "thanks",
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},
{
"id": 970237343179104300,
"author_id": 789409080283627500,
"author_name": "loneWo15",
"timestamp": "05/01/2022 04:16:48",
"content": "is it the 25th percentile of the summation ? or what ?",
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"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:17:07",
"content": "Summation was not there in the question",
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"timestamp": "05/01/2022 04:17:20",
"content": "I dont know about percentile of summation",
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},
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"id": 970237509554565100,
"author_id": 446704648485863400,
"author_name": "Castroploiin¹",
"timestamp": "05/01/2022 04:17:28",
"content": "Frequency probably",
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"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:17:37",
"content": "so Its probably other way around",
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},
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"id": 970237577091223600,
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"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:17:44",
"content": "yes",
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"author_name": "Castroploiin¹",
"timestamp": "05/01/2022 04:18:25",
"content": "lone means the 25th percentile under which the sum of the scores is equal to a fourth of the sum of all the scores",
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"author_name": "Castroploiin¹",
"timestamp": "05/01/2022 04:19:27",
"content": "Which would be 142/4 = 35.5 here",
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"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:19:39",
"content": "@loneWo15 ...are you also a member of Python Discord server?",
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"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:20:29",
"content": "ok ...4 comes from 25th percentile?",
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"id": 970238443517009900,
"author_id": 446704648485863400,
"author_name": "Castroploiin¹",
"timestamp": "05/01/2022 04:21:11",
"content": "Do you mean the `/4`?",
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"id": 970238458121572400,
"author_id": 599992077094223900,
"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:21:14",
"content": "yes",
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},
{
"id": 970238515197644800,
"author_id": 446704648485863400,
"author_name": "Castroploiin¹",
"timestamp": "05/01/2022 04:21:28",
"content": "25th = 100/4",
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},
{
"id": 970238557593690100,
"author_id": 599992077094223900,
"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:21:38",
"content": "Like for 50 percentile it would be /2",
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},
{
"id": 970238565055365100,
"author_id": 599992077094223900,
"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:21:40",
"content": "yes",
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},
{
"id": 970238571942400000,
"author_id": 446704648485863400,
"author_name": "Castroploiin¹",
"timestamp": "05/01/2022 04:21:41",
"content": "Yes",
"attachments": [],
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"reference": null
},
{
"id": 970238670605025300,
"author_id": 599992077094223900,
"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:22:05",
"content": "@Castroploiin¹ thanks",
"attachments": [],
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{
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"id": 970238737969733600,
"author_id": 599992077094223900,
"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:22:21",
"content": "!close",
"attachments": [],
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"reference": null
},
{
"id": 970238851199148000,
"author_id": 599992077094223900,
"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:22:48",
"content": "How do we close a channel ? @Castroploiin¹",
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"author_id": 446704648485863400,
"author_name": "Castroploiin¹",
"timestamp": "05/01/2022 04:23:35",
"content": "`.close`",
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"reference": null
},
{
"id": 970242626735444000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 04:37:48",
"content": "@sheruvelly Has your question been resolved?",
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"author_name": "sheruvelly",
"timestamp": "05/01/2022 04:38:32",
"content": ".close",
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"reference": null
},
{
"id": 970242814879346700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 04:38:33",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
02e2844162d94feca580c7e9abe9bd03
|
199,668 |
[
{
"id": 970243068349513700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 04:39:33",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 970246351323549700,
"author_id": 485902339543269400,
"author_name": "syzjh",
"timestamp": "05/01/2022 04:52:36",
"content": "",
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"id": 970246353479413800,
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"timestamp": "05/01/2022 04:52:36",
"content": "Pinned a message.",
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"messageId": 970246351323549700,
"channelId": 486844875632017400,
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"id": 970246380197134300,
"author_id": 485902339543269400,
"author_name": "syzjh",
"timestamp": "05/01/2022 04:52:43",
"content": "what does the squiggle at the bot left mean?",
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},
{
"id": 970246730534756400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/01/2022 04:54:06",
"content": "it looks like a square wave?",
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"reference": null
},
{
"id": 970246769357230100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/01/2022 04:54:16",
"content": "so maybe it means a clock signal that alternates between 0 and 1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 970246812202070000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/01/2022 04:54:26",
"content": "but im not certain",
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},
{
"id": 970248981785485300,
"author_id": 485902339543269400,
"author_name": "syzjh",
"timestamp": "05/01/2022 05:03:03",
"content": "oh I see, I wonder why they need to state that 🧐",
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},
{
"id": 970250350831497200,
"author_id": 485902339543269400,
"author_name": "syzjh",
"timestamp": "05/01/2022 05:08:30",
"content": "But thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 970250355705270300,
"author_id": 485902339543269400,
"author_name": "syzjh",
"timestamp": "05/01/2022 05:08:31",
"content": ".close",
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"reference": null
},
{
"id": 970250357630443500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 05:08:31",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
6a238a4194664546a3ad162e3e90550c
|
199,669 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 05:09:31",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 970266718519824500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 06:13:32",
"content": "Pinned a message.",
"attachments": [],
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"id": 970267597935378400,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/01/2022 06:17:02",
"content": "Uhh @Moderators ?",
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},
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"id": 970268164766195700,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/01/2022 06:19:17",
"content": "That's still going to be considered cheating",
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},
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"id": 970268338766893000,
"author_id": 548260513600110600,
"author_name": "KB0",
"timestamp": "05/01/2022 06:19:58",
"content": ":monkey:",
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},
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"id": 970268385340444700,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/01/2022 06:20:09",
"content": "You're welcome",
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},
{
"id": 970268455989293200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 06:20:26",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
ee9572318b0d4d0c924646c87f8e71d8
|
199,670 |
[
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"id": 970269241083314200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 06:23:33",
"content": "Available help channel!",
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"mentions": [],
"reference": null
},
{
"id": 970272720178782200,
"author_id": 943667504264392700,
"author_name": "American Psycho",
"timestamp": "05/01/2022 06:37:23",
"content": "$if 3^x×2^-x=1.5 , then x=?$",
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"reference": null
},
{
"id": 970272722036871200,
"author_id": 805217272087838700,
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"timestamp": "05/01/2022 06:37:23",
"content": "Pinned a message.",
"attachments": [],
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"id": 970272729297190900,
"author_id": 510789298321096700,
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"timestamp": "05/01/2022 06:37:25",
"content": "**Catalin**",
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"timestamp": "05/01/2022 06:38:14",
"content": "how can I answer this question please?",
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"id": 970272998823198700,
"author_id": 548260513600110600,
"author_name": "KB0",
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"content": "When you write latex, if you want to put a term larger than one digit into a power, do it like this: $2^{-x}$",
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},
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"id": 970273009300558000,
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"timestamp": "05/01/2022 06:38:32",
"content": "**Kimbomanjaro**",
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"timestamp": "05/01/2022 06:38:37",
"content": "have you learnt log?",
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"id": 970273056608108500,
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"content": "Squiggly brackets will denote an argument",
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},
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"timestamp": "05/01/2022 06:38:48",
"content": "not yet still in grade 8",
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"timestamp": "05/01/2022 06:38:53",
"content": "oh okay thanks",
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"timestamp": "05/01/2022 06:39:17",
"content": "**1345631**",
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"content": "tysm!",
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"timestamp": "05/01/2022 06:39:49",
"content": ".close",
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"id": 970273336628232200,
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"timestamp": "05/01/2022 06:39:50",
"content": "Channel closed",
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}
] |
help-9
|
17713919ae264c7fb4b6804247c6415d
|
199,671 |
[
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"timestamp": "05/01/2022 06:47:25",
"content": "Available help channel!",
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},
{
"id": 970280591377449100,
"author_id": 315249066000908300,
"author_name": "oldeugene719",
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"author_id": 315249066000908300,
"author_name": "oldeugene719",
"timestamp": "05/01/2022 07:08:53",
"content": "what does it mean to find the image?",
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"id": 970281673205882900,
"author_id": 182179228840755200,
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"timestamp": "05/01/2022 07:12:57",
"content": "It means find where f sends it",
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},
{
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"timestamp": "05/01/2022 07:13:44",
"content": "The set $f(\\Bbb{R})$.",
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"timestamp": "05/01/2022 07:13:46",
"content": "**vin100**",
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"timestamp": "05/01/2022 07:22:12",
"content": "Read their question",
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"content": "@oldeugene719 Has your question been resolved?",
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"content": "Channel closed",
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help-9
|
3851586816a840a09d264bc6cd1408d8
|
199,672 |
[
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"timestamp": "05/01/2022 08:07:12",
"content": "How many positive parts does the number 145 have?",
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"content": ".close",
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"id": 970295879833632800,
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help-9
|
cda7dbc722ae4a50b84d50f0a572dc64
|
199,673 |
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"content": "Available help channel!",
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"id": 970298646627242100,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/01/2022 08:20:24",
"content": "there's only one question asker, so your use of the possessive adjective \"their\" is incorrect. OP doesn't know what the image is, so I gave an expression for that.",
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"content": "Pinned a message.",
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"id": 970299173503123500,
"author_id": 756843971262677100,
"author_name": "R31_",
"timestamp": "05/01/2022 08:22:30",
"content": "you're funny",
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"timestamp": "05/01/2022 08:25:07",
"content": "??? Literally wrong",
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"author_name": "KB0",
"timestamp": "05/01/2022 08:25:27",
"content": "Which 'their' would you use then?",
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"timestamp": "05/01/2022 08:25:31",
"content": "Oh yes please read they are question",
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"id": 970299954910359600,
"author_id": 756843971262677100,
"author_name": "R31_",
"timestamp": "05/01/2022 08:25:36",
"content": "he do be weird",
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"author_name": "vin100",
"timestamp": "05/01/2022 08:27:49",
"content": "oops sorry lemme borrow your line: https://discord.com/channels/268882317391429632/903430333888884736/970287251324022855\n\n> Ah my bad",
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"content": "What's your problem",
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"timestamp": "05/01/2022 08:31:18",
"content": "i already apologized for my misunderstanding about the word \"their\"",
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] |
help-9
|
f6b9562a762640fabbf203a642c79532
|
199,674 |
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"timestamp": "05/01/2022 08:36:54",
"content": "Available help channel!",
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"id": 970303548430618600,
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"timestamp": "05/01/2022 08:40:34",
"content": "In both the cases, where the value equates to 0, an could be equal to 0 too right?",
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"id": 970303841021092000,
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"timestamp": "05/01/2022 08:41:03",
"content": "That's covered in the top case",
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"id": 970304001113481200,
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"timestamp": "05/01/2022 08:41:41",
"content": "If you wanted you could have a_n < 0 and a_n >= 0",
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"id": 970304029580218400,
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"timestamp": "05/01/2022 08:41:48",
"content": "Would be the same",
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"content": "You generally don't want an overlap in the intervals of each case",
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"timestamp": "05/01/2022 08:43:42",
"content": "Ah",
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"content": "Got it",
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"timestamp": "05/01/2022 08:43:46",
"content": "Thanks!",
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"content": ".close",
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] |
help-9
|
23a0b4f3d3c54f81a123e1a92ea36f92
|
199,675 |
[
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"content": "@cosmos Has your question been resolved?",
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help-9
|
fc0297acace742f9bf3b74fe143f5aef
|
199,676 |
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"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 03:02:50",
"content": "Available help channel!",
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{
"id": 956450490881802200,
"author_id": 566069780851982340,
"author_name": "Pepsi>Coke",
"timestamp": "03/24/2022 03:12:47",
"content": "how would you factor x^2 + 5x - 7? I tried grouping, and I also tried getting ac to add to b, but -1 and 7 dont add to 5, and those are the only factors",
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"timestamp": "03/24/2022 03:15:54",
"content": "Not factorable",
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"id": 956451287782817800,
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"author_name": "kloser",
"timestamp": "03/24/2022 03:15:57",
"content": "this is not f",
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"id": 956451319395254300,
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"timestamp": "03/24/2022 03:16:04",
"content": "Hmm",
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"content": "it is factorable",
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"timestamp": "03/24/2022 03:16:37",
"content": "it's just that the factors are not very nice",
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"id": 956451501277061100,
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"timestamp": "03/24/2022 03:16:47",
"content": "are they complex...",
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"author_name": "Pallav",
"timestamp": "03/24/2022 03:16:49",
"content": "If you want to solve for x you can use quadractic equation",
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"timestamp": "03/24/2022 03:16:50",
"content": "only if the number in your monomials are complex",
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"timestamp": "03/24/2022 03:17:27",
"content": "how would i factorise it",
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"timestamp": "03/24/2022 03:17:39",
"content": "use the quadratic eq to find roots",
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"content": "if the factors are complex",
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"timestamp": "03/24/2022 03:17:52",
"content": "whats the exact problem youre trying to solve",
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"author_name": "Pepsi>Coke",
"timestamp": "03/24/2022 03:17:57",
"content": "so you can't use anything else?",
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"timestamp": "03/24/2022 03:18:02",
"content": "the factors are real....",
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"timestamp": "03/24/2022 03:18:04",
"content": "x^2 + 5x - 7",
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"id": 956451839509930000,
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"author_name": "waler",
"timestamp": "03/24/2022 03:18:08",
"content": "and you can complete the square",
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"timestamp": "03/24/2022 03:18:19",
"content": "quadratic formula is also fine",
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"timestamp": "03/24/2022 03:21:34",
"content": "hm?",
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"id": 956452801402245100,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "03/24/2022 03:21:57",
"content": "have you heard of factor theorem?",
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"id": 956452862802661400,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "03/24/2022 03:22:12",
"content": "if not then this is probably not an appropriate problem for you as of now",
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"timestamp": "03/24/2022 03:24:00",
"content": "i suppose you can also try to solve a system of equations for the factors if you haven't heard of factor theorem yet but it's not going to be very nice (as in you probably wont like to do it by hand)",
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"timestamp": "03/24/2022 03:24:20",
"content": "what is the factor theorem",
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"timestamp": "03/24/2022 03:24:46",
"content": "basically the a polynomial have their zeros as their factors",
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"content": "what a polynomial",
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"content": "Isn’t this obvious though, why is that a theorem",
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"timestamp": "03/24/2022 03:25:17",
"content": "ik what a polynomial is",
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"timestamp": "03/24/2022 03:25:21",
"content": "i mean",
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"content": "the \"a polynomial\"",
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"content": "a polynomial is basically what you are dealing with",
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"timestamp": "03/24/2022 03:25:41",
"content": "“The a polynomial” is a typo",
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"timestamp": "03/24/2022 03:25:42",
"content": "ik",
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"content": "x^2 + 2x is a polynomial, x^3 + 1 is a polynomial",
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"timestamp": "03/24/2022 03:25:50",
"content": "ik what a polynomial is",
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"timestamp": "03/24/2022 03:25:53",
"content": "its an expression invloving many terms of simple power",
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"timestamp": "03/24/2022 03:26:08",
"content": "Ok what r u asking then lol",
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"content": "you mean (ax+z)(bx+y) = 0",
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"content": "\"their zeros\" implies the roots of a polynomial",
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"timestamp": "03/24/2022 03:27:00",
"content": "ohh",
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"timestamp": "03/24/2022 03:27:03",
"content": "like the binomials",
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"timestamp": "03/24/2022 03:27:04",
"content": "Does this say if (x-r) is a factor of f, then f(r) = 0?",
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"timestamp": "03/24/2022 03:27:16",
"content": "yes, and also the opposite",
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"timestamp": "03/24/2022 03:27:20",
"content": "what??!??",
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"timestamp": "03/24/2022 03:27:25",
"content": "For example",
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"timestamp": "03/24/2022 03:27:32",
"content": "Consider (x + 5)(x - 3)",
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"timestamp": "03/24/2022 03:27:32",
"content": "im just asking lies whether if they know it, if not then they should not be using it",
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"content": "@Pepsi>Coke would you agree that this is a polynomial",
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"timestamp": "03/24/2022 03:28:01",
"content": "(When you expand it)",
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"timestamp": "03/24/2022 03:28:12",
"content": "yes",
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"timestamp": "03/24/2022 03:28:22",
"content": "because it expands to a quadratic equation",
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"timestamp": "03/24/2022 03:28:38",
"content": "using foil:\nx^2 - 3x + 5x - 15",
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"timestamp": "03/24/2022 03:28:44",
"content": "or x^2 + 2x - 15",
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"timestamp": "03/24/2022 03:28:45",
"content": "Yeah exactly",
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"timestamp": "03/24/2022 03:28:54",
"content": "fixed",
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"timestamp": "03/24/2022 03:29:03",
"content": "@Pepsi>Coke would you also agree that if you plug in 3 for x, it would give you zero?",
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"timestamp": "03/24/2022 03:29:25",
"content": "ye obviously",
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"timestamp": "03/24/2022 03:29:33",
"content": "Yeah, so",
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"timestamp": "03/24/2022 03:29:34",
"content": "cuz x-3 = 0",
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"timestamp": "03/24/2022 03:29:39",
"content": "and anything by 0 is 0",
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"timestamp": "03/24/2022 03:29:39",
"content": "Yeah",
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"timestamp": "03/24/2022 03:29:45",
"content": "Exactly",
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"timestamp": "03/24/2022 03:29:52",
"content": "So 3 must be a root of that polynomial",
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"timestamp": "03/24/2022 03:30:01",
"content": "yes",
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"content": "That’s all it says, it’s kind of like “duh”",
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"timestamp": "03/24/2022 03:30:25",
"content": "But yeah @waler was suggesting you use this fact to answer the question",
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"timestamp": "03/24/2022 03:30:30",
"content": "ohh",
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"timestamp": "03/24/2022 03:30:31",
"content": "hmmm",
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"timestamp": "03/24/2022 03:30:35",
"content": "how would that work",
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"timestamp": "03/24/2022 03:30:48",
"content": "x^2 + 5x - 7",
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"timestamp": "03/24/2022 03:31:02",
"content": "but again, thats not what im suggesting, im askign that because if lies havent been taught that, they shouldnt use that to answer the question",
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"timestamp": "03/24/2022 03:31:12",
"content": "Oh",
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"timestamp": "03/24/2022 03:31:24",
"content": "i knew that already",
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"timestamp": "03/24/2022 03:31:27",
"content": "great",
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"timestamp": "03/24/2022 03:31:32",
"content": "i just didnt understand what u meant",
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"timestamp": "03/24/2022 03:31:37",
"content": "right",
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"timestamp": "03/24/2022 03:31:46",
"content": "would the root be irrational",
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"timestamp": "03/24/2022 03:31:55",
"content": "so what you can do is to just solve for the roots of this quadratic and that should be your factors",
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"timestamp": "03/24/2022 03:31:58",
"content": "yes",
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"timestamp": "03/24/2022 03:32:05",
"content": "because 7 is prime",
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"timestamp": "03/24/2022 03:32:36",
"content": "well because 7 is a prime does not necessary means that its roots are irrational",
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"timestamp": "03/24/2022 03:33:14",
"content": "but anyway, as many and i have mentioned, you can solve for their roots using quadratic formula or by completing the square",
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"timestamp": "03/24/2022 03:33:17",
"content": "7 = 7 * 1, so the middle term could be 8 and it would be factorable:\nx^2 + 8x + 7",
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"timestamp": "03/24/2022 03:33:24",
"content": "oh",
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"timestamp": "03/24/2022 03:33:49",
"content": "what why is it 8x",
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"timestamp": "03/24/2022 03:33:55",
"content": "ohh",
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"timestamp": "03/24/2022 03:33:58",
"content": "That was just a side example",
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"timestamp": "03/24/2022 03:34:01",
"content": "because a and c adds to b",
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"content": "Yup",
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"timestamp": "03/24/2022 03:34:23",
"content": "Anyway",
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"timestamp": "03/24/2022 03:34:40",
"content": "@Pepsi>Coke do you know what completing the square is?",
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"timestamp": "03/24/2022 03:35:05",
"content": "im looking at it now",
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"timestamp": "03/24/2022 03:35:11",
"content": "has something to do with geometry",
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"content": "It has absolutely nothing to do with geometry",
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"content": "oh",
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"content": "Oh I supposed you could think of it like that",
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"content": "Wow that’s a cool drawing",
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"content": "Very insightful",
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"content": "(b/2)^2",
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"content": "${\\frac{b}{2}}^2$",
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"content": "It’s the area of that little square",
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"content": "Look at the middle drawing",
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"content": "the b/2 column and row stop at the corner, and leave a little gap",
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"timestamp": "03/24/2022 03:38:00",
"content": "**lies**",
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"content": "that",
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"timestamp": "03/24/2022 03:38:13",
"content": "why is it equal to",
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"content": "b/2^2]",
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"content": "Wdym",
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"content": "OHH",
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"content": "I SEE",
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"content": "IM SO DUMB",
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"content": "The length and width are b/2",
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"content": "Haha",
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"content": "Yeah isn’t that cool? Very clever trick",
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"content": "yes",
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"content": "how does this simplify",
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"timestamp": "03/24/2022 03:39:16",
"content": "to that",
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"content": "You could FOIL it yourself to check",
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"timestamp": "03/24/2022 03:39:26",
"content": "Or just look at the diagram",
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"timestamp": "03/24/2022 03:39:37",
"content": "nvm",
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"content": "lmao",
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"content": "lol",
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"content": "how would i simplify it",
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"content": "algebraically",
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"timestamp": "03/24/2022 03:40:39",
"content": "without doing mathy stuff",
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"timestamp": "03/24/2022 03:40:41",
"content": "For your question?",
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"content": "just in general",
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"content": "there's no common factor",
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"timestamp": "03/24/2022 03:40:58",
"content": "for all three",
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"content": "for all three of what? Lol",
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"content": "terms",
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"timestamp": "03/24/2022 03:41:13",
"content": "in the polynomial",
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"timestamp": "03/24/2022 03:41:17",
"content": "Yeah but",
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"content": "Which polynomial",
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"content": "this",
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"content": "Your polynomial?",
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"timestamp": "03/24/2022 03:41:27",
"content": "top thing",
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"content": "Oh",
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"content": "The bottom thing is how you simplify it",
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"timestamp": "03/24/2022 03:41:50",
"content": "but why doe tha work",
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"content": "For the reason you just read",
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"timestamp": "03/24/2022 03:42:04",
"content": "without square ting",
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"content": "Ok",
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"timestamp": "03/24/2022 03:42:08",
"content": "im dumb",
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"timestamp": "03/24/2022 03:42:09",
"content": "sorry",
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"content": "No problem lol",
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"timestamp": "03/24/2022 03:42:16",
"content": "Here",
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"timestamp": "03/24/2022 03:44:06",
"content": "Purely algebraically: $$(x + a)^2 = x^2 + (2a)x + a^2,$$ and replacing $b = 2a$ you get $$(x + b/2)^2 =x^2 + bx + (b/2)^2$$",
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"timestamp": "03/24/2022 03:44:42",
"content": "**abs\\_0**",
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"content": "oh",
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"content": "The key step is adding the square of half the middle term",
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"content": "i see",
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"content": "Yeah",
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"timestamp": "03/24/2022 03:45:26",
"content": "So now with your question",
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"content": "What was it again?",
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"timestamp": "03/24/2022 03:45:36",
"content": "x^2 + 5x - 7",
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"content": "Ok so here",
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"content": "Let’s just ignore the -7 for now",
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"content": "You have x^2 + 5x. What do you add to make it a perfect square?",
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"content": "@Pepsi>Coke",
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"timestamp": "03/24/2022 03:52:27",
"content": "um",
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"timestamp": "03/24/2022 03:53:05",
"content": "(x^2 + 5/2)^2?",
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"author_name": "Pepsi>Coke",
"timestamp": "03/24/2022 04:00:07",
"content": "$\\left(x+2.5\\right)^2-13.25$",
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},
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"author_id": 566069780851982340,
"author_name": "Pepsi>Coke",
"timestamp": "03/24/2022 04:00:12",
"content": "is this right",
"attachments": [],
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},
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"id": 956462670339539000,
"author_id": 566069780851982340,
"author_name": "Pepsi>Coke",
"timestamp": "03/24/2022 04:01:10",
"content": "${\\left(\\frac{1}{2}\\right)}^2$",
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},
{
"id": 956462938653356000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/24/2022 04:02:14",
"content": "**lies**",
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"timestamp": "03/24/2022 04:02:17",
"content": "ohh",
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},
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "03/24/2022 04:02:35",
"content": "**lies**",
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"timestamp": "03/24/2022 04:02:48",
"content": "(x+2.5)^2 - 13.25",
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},
{
"id": 956463089904132100,
"author_id": 566069780851982340,
"author_name": "Pepsi>Coke",
"timestamp": "03/24/2022 04:02:50",
"content": "is right",
"attachments": [],
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},
{
"id": 956463094299775000,
"author_id": 566069780851982340,
"author_name": "Pepsi>Coke",
"timestamp": "03/24/2022 04:02:51",
"content": "i think",
"attachments": [],
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},
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"id": 956463212256174100,
"author_id": 566069780851982340,
"author_name": "Pepsi>Coke",
"timestamp": "03/24/2022 04:03:20",
"content": "do i need to factorise it further",
"attachments": [],
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},
{
"id": 956464838463336400,
"author_id": 566069780851982340,
"author_name": "Pepsi>Coke",
"timestamp": "03/24/2022 04:09:47",
"content": "(x+2.5)^2 = 13.25",
"attachments": [],
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},
{
"id": 956468614427447300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 04:24:48",
"content": "@Pepsi>Coke Has your question been resolved?",
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"id": 956468785471193100,
"author_id": 566069780851982340,
"author_name": "Pepsi>Coke",
"timestamp": "03/24/2022 04:25:28",
"content": "sqrt(53/4) - 5/2",
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},
{
"id": 956468794379890800,
"author_id": 566069780851982340,
"author_name": "Pepsi>Coke",
"timestamp": "03/24/2022 04:25:30",
"content": "i think",
"attachments": [],
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},
{
"id": 956468945093808100,
"author_id": 566069780851982340,
"author_name": "Pepsi>Coke",
"timestamp": "03/24/2022 04:26:06",
"content": "nvm",
"attachments": [],
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},
{
"id": 956468952597401600,
"author_id": 566069780851982340,
"author_name": "Pepsi>Coke",
"timestamp": "03/24/2022 04:26:08",
"content": "i got it right",
"attachments": [],
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},
{
"id": 956469523849039900,
"author_id": 566069780851982340,
"author_name": "Pepsi>Coke",
"timestamp": "03/24/2022 04:28:24",
"content": "sqrt(53/4) = sqrt(53)/2",
"attachments": [],
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},
{
"id": 956469561966854100,
"author_id": 566069780851982340,
"author_name": "Pepsi>Coke",
"timestamp": "03/24/2022 04:28:33",
"content": "im too smart",
"attachments": [],
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},
{
"id": 956472390144102400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 04:39:48",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
a44fb7b13e084a1ea83dac1b873ebf5b
|
199,677 |
[
{
"id": 970320846008778800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 09:48:37",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 970324784195977200,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 10:04:16",
"content": "$$\\begin{cases}x^{2}yz^{3}=&w^{3}\\\\ xy^{2}=&w^{9}\\end{cases}$$",
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},
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"id": 970324785659801600,
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"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 10:04:16",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 970324784195977200,
"channelId": 486844875632017400,
"guildId": null
}
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"id": 970324801300332500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/01/2022 10:04:20",
"content": "**AuHasard**",
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"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 10:04:20",
"content": "What is xyz?",
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},
{
"id": 970325467729133600,
"author_id": 756843971262677100,
"author_name": "R31_",
"timestamp": "05/01/2022 10:06:59",
"content": "that is multiplication of 3 variables",
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},
{
"id": 970325638370181100,
"author_id": 756843971262677100,
"author_name": "R31_",
"timestamp": "05/01/2022 10:07:39",
"content": "(multiply the 2 equations together)",
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},
{
"id": 970325766501974000,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 10:08:10",
"content": "Can we do that?",
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"id": 970325991450902500,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 10:09:04",
"content": "Is that called the elimination method?",
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},
{
"id": 970326124850712700,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/01/2022 10:09:35",
"content": "you can linearize them by taking log on both sides\\",
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},
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"id": 970326231448952800,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 10:10:01",
"content": "I am not allowed to use a calculator",
"attachments": [],
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},
{
"id": 970326549461098600,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 10:11:17",
"content": "$$x^{2}yz^{3}\\times xy^{2}=w^{3}\\times w^{9}$$\n$$x^{3}y^{3}z^{3}=w^{12}$$",
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},
{
"id": 970326559888142300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/01/2022 10:11:19",
"content": "**AuHasard**",
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"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/01/2022 10:11:45",
"content": "i'm not suggesting the use of a calculator.",
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},
{
"id": 970326784073679000,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 10:12:13",
"content": "$$(x^{3}y^{3}z^{3})^{\\frac{1}{3} }=(w^{12})^{\\frac{1}{3} }$$\n$$xyz=w^{4}$$",
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{
"id": 970326809264668700,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/01/2022 10:12:19",
"content": "you're learnt to solve systems of linear equations, so taking log reduces the problem to a system of linear equations.",
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},
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"id": 970326947081101300,
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"timestamp": "05/01/2022 10:12:51",
"content": "**AuHasard**",
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"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/01/2022 10:13:28",
"content": "sorry i mean solving system of linear equations is in secondary schools' curriculum",
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"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 10:16:08",
"content": ".close",
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"id": 970327773098946600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 10:16:08",
"content": "Channel closed",
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}
] |
help-9
|
4056cfaa3b4945c3b37c57cd798650a0
|
199,678 |
[
{
"id": 970328026615263200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 10:17:09",
"content": "Available help channel!",
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},
{
"id": 970329619985219600,
"author_id": 241840918338994180,
"author_name": "$crooge MxDuck",
"timestamp": "05/01/2022 10:23:29",
"content": "Hi, how to find the radius of convergence and the region of convergence? Is it somehow connected with Alternating Series Test or?",
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"content": "Pinned a message.",
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"id": 970329871303729200,
"author_id": 245091211486953470,
"author_name": "1345631",
"timestamp": "05/01/2022 10:24:29",
"content": "Use the Cauchy Hadamard theorem",
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},
{
"id": 970330431209758800,
"author_id": 241840918338994180,
"author_name": "$crooge MxDuck",
"timestamp": "05/01/2022 10:26:42",
"content": "So (-1)^n is not having any effect here?",
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},
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"id": 970330699485831200,
"author_id": 245091211486953470,
"author_name": "1345631",
"timestamp": "05/01/2022 10:27:46",
"content": "No",
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},
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"id": 970330721304592500,
"author_id": 241840918338994180,
"author_name": "$crooge MxDuck",
"timestamp": "05/01/2022 10:27:51",
"content": "Ok, thanks",
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},
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"id": 970330728288108700,
"author_id": 241840918338994180,
"author_name": "$crooge MxDuck",
"timestamp": "05/01/2022 10:27:53",
"content": ".close",
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},
{
"id": 970330730183950300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 10:27:53",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
d6bce537cda84c9a92a4cf643bf505c3
|
199,679 |
[
{
"id": 970330765525147800,
"author_id": 241840918338994180,
"author_name": "$crooge MxDuck",
"timestamp": "05/01/2022 10:28:02",
"content": ".reopen",
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"reference": null
},
{
"id": 970330772227649500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 10:28:03",
"content": "✅",
"attachments": [],
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"reference": null
},
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"id": 970330772634480600,
"author_id": 245091211486953470,
"author_name": "1345631",
"timestamp": "05/01/2022 10:28:04",
"content": "You'll use it when you find the interval of convergence, when you have to test the endpoints",
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},
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"id": 970330804628631600,
"author_id": 241840918338994180,
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"timestamp": "05/01/2022 10:28:11",
"content": "Okay",
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},
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"id": 970330814111957000,
"author_id": 241840918338994180,
"author_name": "$crooge MxDuck",
"timestamp": "05/01/2022 10:28:13",
"content": ".close",
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},
{
"id": 970330815626117100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 10:28:14",
"content": "Channel closed",
"attachments": [],
"mentions": [],
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}
] |
help-9
|
92f09b28acd54bc6b6aea32f95203cc3
|
199,680 |
[
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"author_id": 805217272087838700,
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"timestamp": "05/01/2022 11:10:45",
"content": "Available help channel!",
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},
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"id": 970351622452564000,
"author_id": 805217272087838700,
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"timestamp": "05/01/2022 11:50:55",
"content": "Pinned a message.",
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"author_id": 884718731605987300,
"author_name": "$NEO",
"timestamp": "05/01/2022 11:51:28",
"content": "can anyone help me with this problem? Two perpendicular chords AB and CD intersect at P. If P A = 4, P B = 10, and CD = 13, calculate\nthe length of P to the center of the circle, here is my diagram, i think you need to use cross chord theorm but don't know where to start",
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"timestamp": "05/01/2022 11:51:45",
"content": "Channel closed",
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}
] |
help-9
|
9ac3c6775d724e0f9984acc2ca482163
|
199,681 |
[
{
"id": 970351933120463000,
"author_id": 884718731605987300,
"author_name": "$NEO",
"timestamp": "05/01/2022 11:52:09",
"content": "can anyone help me with this problem? Two perpendicular chords AB and CD intersect at P. If P A = 4, P B = 10, and CD = 13, calculate\nthe length of P to the center of the circle, here is my diagram, i think you need to use cross chord theorm but don't know where to start",
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"content": "Available help channel!",
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"reference": null
},
{
"id": 970362741950906400,
"author_id": 332164791143759900,
"author_name": "tarık b.",
"timestamp": "05/01/2022 12:35:06",
"content": "Hi. If p is a prime number, how do I prove the following?",
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},
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"id": 970362743083380700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 12:35:06",
"content": "Pinned a message.",
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"id": 970362751052579000,
"author_id": 332164791143759900,
"author_name": "tarık b.",
"timestamp": "05/01/2022 12:35:08",
"content": "$\\forall a,b \\in \\mathbb{Z}: p | ab \\Rightarrow p|a \\lor p|b$",
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},
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"id": 970362760904998900,
"author_id": 510789298321096700,
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"timestamp": "05/01/2022 12:35:10",
"content": "**tarık b.**",
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"timestamp": "05/01/2022 12:36:21",
"content": "try to prove the contrapositive",
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"timestamp": "05/01/2022 12:36:34",
"content": "I'll try",
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"timestamp": "05/01/2022 12:36:53",
"content": "Gluck, you should be able to do it",
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"author_name": "tarık b.",
"timestamp": "05/01/2022 12:45:15",
"content": "So my idea is the following: The contraposition says, that if p not divisor of a and p not divisor of b, then p not divisor of a * b",
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"timestamp": "05/01/2022 12:45:39",
"content": "Yes, that's true",
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"timestamp": "05/01/2022 12:46:11",
"content": "we can formulate p not divisor of a to be: a = p * d_1 + r_1 where r_1 is in {1,...,p-1}",
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"timestamp": "05/01/2022 12:46:17",
"content": "same for b",
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"timestamp": "05/01/2022 12:46:39",
"content": "good idea but remember that p is prime",
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"timestamp": "05/01/2022 12:47:01",
"content": "if p is prime and doesn't divide a",
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"author_name": "R00tKiT",
"timestamp": "05/01/2022 12:47:12",
"content": "what can we say about gcd(p,a)",
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"timestamp": "05/01/2022 12:47:19",
"content": "that it's 1",
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"timestamp": "05/01/2022 12:47:23",
"content": "Yes !!",
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"timestamp": "05/01/2022 12:47:33",
"content": "so gcd(p,a)=1 and gcd(p,b)=1",
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"timestamp": "05/01/2022 12:47:38",
"content": "gcd(p,ab)= ...",
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"author_name": "tarık b.",
"timestamp": "05/01/2022 12:47:45",
"content": "also 1",
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"author_name": "R00tKiT",
"timestamp": "05/01/2022 12:47:48",
"content": "Yep",
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"author_name": "R00tKiT",
"timestamp": "05/01/2022 12:47:56",
"content": "You proved the statement",
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"timestamp": "05/01/2022 12:48:14",
"content": "if gcd(p,ab)=1 then p doesn't divide ab",
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"author_name": "tarık b.",
"timestamp": "05/01/2022 12:48:59",
"content": "indeed",
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"author_name": "tarık b.",
"timestamp": "05/01/2022 12:49:50",
"content": "would my idea not work? The equations a=...+r and b=...+r would mean there's always a rest",
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"timestamp": "05/01/2022 12:50:10",
"content": "if you then do a * b, you will have p * d' + r'",
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"timestamp": "05/01/2022 12:50:23",
"content": "the equations are not wrong but you're not using the fact that p is prime",
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"timestamp": "05/01/2022 12:51:07",
"content": "I think the problem is that r' isn't necessarily inferior to p-1",
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"timestamp": "05/01/2022 12:53:04",
"content": "ah. so r_1 alone is <= p-1, r_2 alone also but together could be a multiple of p",
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"timestamp": "05/01/2022 12:54:14",
"content": "Yeah if you take r_1 * r_2 it's not clear that it's <= p-1",
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"timestamp": "05/01/2022 12:54:43",
"content": "alright",
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"author_name": "tarık b.",
"timestamp": "05/01/2022 12:54:56",
"content": "thank you for the help!",
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"author_name": "R00tKiT",
"timestamp": "05/01/2022 12:55:16",
"content": "and we didn't use at all the fact that p is prime here, the result is in fact wrong if p isn't prime",
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"timestamp": "05/01/2022 12:55:21",
"content": "You welcome",
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"timestamp": "05/01/2022 12:55:24",
"content": "Np!",
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"timestamp": "05/01/2022 12:55:36",
"content": "cheers",
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"timestamp": "05/01/2022 12:55:38",
"content": ".close",
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{
"id": 970367912638574700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 12:55:38",
"content": "Channel closed",
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}
] |
help-9
|
f8eea0f8b8ae4ff484dff5130261be7f
|
199,682 |
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{
"id": 970377990905135100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 13:35:41",
"content": "Available help channel!",
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},
{
"id": 970379403920036000,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 13:41:18",
"content": "How many unique 9-digit numbers can you build out of the numbers 1, 2, 3, 3, 3, 4, 5, 6, 7?",
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{
"id": 970379406260437000,
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"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 13:41:19",
"content": "Pinned a message.",
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{
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"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 13:41:34",
"content": "I don't know how to solve this.",
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},
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"id": 970379813917450200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/01/2022 13:42:56",
"content": "let's look at this digit by digit.",
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},
{
"id": 970379841486590000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/01/2022 13:43:02",
"content": "how many choices for the first digit?",
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},
{
"id": 970379921765585000,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 13:43:22",
"content": "7",
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},
{
"id": 970380121745809400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/01/2022 13:44:09",
"content": "yeah because there's only seven unique digits",
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},
{
"id": 970380138669822000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/01/2022 13:44:13",
"content": "we have three 3s",
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},
{
"id": 970380180029841400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/01/2022 13:44:23",
"content": "now how many choices for the second digit?",
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{
"id": 970380266721902600,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 13:44:44",
"content": "6",
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},
{
"id": 970380360141656000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/01/2022 13:45:06",
"content": "are you sure?",
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{
"id": 970380525644689400,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 13:45:46",
"content": "not certain",
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"id": 970380663381446700,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 13:46:18",
"content": "seven?",
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},
{
"id": 970380709653004300,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "05/01/2022 13:46:29",
"content": "just do 4 cases",
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"author_name": "frownyfrog",
"timestamp": "05/01/2022 13:46:51",
"content": "i don't see a nicer way",
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"id": 970380846647378000,
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"timestamp": "05/01/2022 13:47:02",
"content": "let's say we chose \"1\" as our first digit. then our remaining possible digits are: 2,3,4,5,6,7\nnow let's say we chose \"3\" as our first digit. then our remaining possible digits are: 1,2,3,4,5,6,7\nyeah i see the problem here",
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"timestamp": "05/01/2022 13:47:09",
"content": "this method will get a bit messy",
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"author_name": "frownyfrog",
"timestamp": "05/01/2022 13:47:15",
"content": "oh my bad",
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"id": 970380914385371100,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "05/01/2022 13:47:18",
"content": "9 digit",
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"author_name": "AuHasard",
"timestamp": "05/01/2022 13:48:12",
"content": "> 7! different combinations of the unique numbers, and 9C2 different ways the remaining 3s can be placed. so i believe the answer is 7! * 9C2",
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"timestamp": "05/01/2022 13:48:22",
"content": "this is how someone said we should solve the q",
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"author_name": "frownyfrog",
"timestamp": "05/01/2022 13:48:33",
"content": "without spoiling, replace 3, 3, 3 with 3¹, 3², 3³",
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"timestamp": "05/01/2022 13:49:03",
"content": "this is wrong",
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"author_name": "frownyfrog",
"timestamp": "05/01/2022 13:49:40",
"content": "or i'm wrong, but it's not the same as what i got",
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"author_name": "AuHasard",
"timestamp": "05/01/2022 13:50:51",
"content": "what's correct then",
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"author_name": "AuHasard",
"timestamp": "05/01/2022 13:52:13",
"content": "i'm not familiar with this approach",
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"id": 970382170537484300,
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"author_name": "EndTimes",
"timestamp": "05/01/2022 13:52:18",
"content": "9!/(3!)",
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{
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"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "05/01/2022 13:52:28",
"content": "it's not an approach",
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"author_name": "frownyfrog",
"timestamp": "05/01/2022 13:53:24",
"content": "it would be spoiling if it was the start of an approach, kinda",
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"timestamp": "05/01/2022 13:53:39",
"content": "that's the answer?",
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"author_name": "frownyfrog",
"timestamp": "05/01/2022 13:53:57",
"content": "6! * 9c3 = 9!/3!",
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"id": 970382606342422500,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "05/01/2022 13:54:02",
"content": "either one",
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},
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"id": 970382683861557400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/01/2022 13:54:20",
"content": "yes",
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"id": 970382750563594200,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/01/2022 13:54:36",
"content": "(number of elements)! / (number of repeating elements)!",
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},
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"id": 970382868805201900,
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"author_name": "EndTimes",
"timestamp": "05/01/2022 13:55:04",
"content": "this is a good example",
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"author_name": "AuHasard",
"timestamp": "05/01/2022 13:57:17",
"content": "What's p, q and r?",
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{
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"author_name": "AuHasard",
"timestamp": "05/01/2022 13:58:05",
"content": "I am not familiar with this way of writing it $PR^{p,q,r}_{n}$",
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"content": "**AuHasard**",
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"content": "yeah don't worry about that",
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"timestamp": "05/01/2022 13:59:23",
"content": "That's just number of repeating elements right?",
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"timestamp": "05/01/2022 13:59:25",
"content": "just take the factorial of the total number of elements",
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"timestamp": "05/01/2022 13:59:29",
"content": "9!",
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"timestamp": "05/01/2022 13:59:32",
"content": "and?",
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"timestamp": "05/01/2022 13:59:45",
"content": "divide it by the product of the factorials of the size of each group that repeats",
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"timestamp": "05/01/2022 13:59:54",
"content": "so in our case, we have one group",
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"timestamp": "05/01/2022 13:59:56",
"content": "with 3 elements",
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"timestamp": "05/01/2022 14:00:50",
"content": "Yeah",
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},
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"id": 970384331669397500,
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"timestamp": "05/01/2022 14:00:53",
"content": "3!",
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},
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"id": 970384359905460200,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 14:01:00",
"content": "and then?",
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"timestamp": "05/01/2022 14:02:32",
"content": "divide",
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"content": "9! / 3!",
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"timestamp": "05/01/2022 14:02:53",
"content": "So it's just $\\frac{9!}{6!3!}$",
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"timestamp": "05/01/2022 14:02:55",
"content": "**AuHasard**",
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"timestamp": "05/01/2022 14:03:04",
"content": "nope",
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"timestamp": "05/01/2022 14:03:15",
"content": "we don't have a group of 6",
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},
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"timestamp": "05/01/2022 14:03:22",
"content": "Okay",
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},
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"timestamp": "05/01/2022 14:03:27",
"content": "What happens to the six",
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},
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"timestamp": "05/01/2022 14:03:36",
"content": "there is no group of 6 identical elements",
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},
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"timestamp": "05/01/2022 14:03:41",
"content": "there is no six",
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},
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"timestamp": "05/01/2022 14:03:53",
"content": "if you really want you can write it like this",
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"timestamp": "05/01/2022 14:04:10",
"content": "$\\frac{9!}{(1!)^6 \\times 3!}$",
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},
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"timestamp": "05/01/2022 14:04:26",
"content": "**EndTimes**",
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"timestamp": "05/01/2022 14:04:29",
"content": "Oh nah that looks complicated 😂",
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"timestamp": "05/01/2022 14:04:36",
"content": "Let's take the most basic approach",
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"timestamp": "05/01/2022 14:04:39",
"content": "and that just becomes 9!/3!",
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"timestamp": "05/01/2022 14:04:40",
"content": "Explain to me like I'm 5",
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"timestamp": "05/01/2022 14:04:48",
"content": "What do we do with the 6?",
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},
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"timestamp": "05/01/2022 14:04:53",
"content": "there is no 6",
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},
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"id": 970385366932676600,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/01/2022 14:05:00",
"content": "where do you get six from",
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},
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"timestamp": "05/01/2022 14:05:42",
"content": "Okay so the answer is just 9!/3!?",
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"timestamp": "05/01/2022 14:05:51",
"content": "yes",
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"timestamp": "05/01/2022 14:05:57",
"content": "Because that to me sounds like ”choosing 3 element from 9”",
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"timestamp": "05/01/2022 14:06:01",
"content": "Right?",
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"timestamp": "05/01/2022 14:06:07",
"content": "not quite",
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},
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"timestamp": "05/01/2022 14:06:26",
"content": "what is n choose k?",
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},
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"author_name": "AuHasard",
"timestamp": "05/01/2022 14:06:39",
"content": "Number of elements chosen from set k?",
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"timestamp": "05/01/2022 14:06:45",
"content": "n choose k = $\\frac{n!}{k!(n-k)!}$",
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"timestamp": "05/01/2022 14:06:47",
"content": "**EndTimes**",
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"timestamp": "05/01/2022 14:07:09",
"content": "And it's written as C(n, k)?",
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"timestamp": "05/01/2022 14:07:11",
"content": "yeah",
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"timestamp": "05/01/2022 14:07:17",
"content": "but this problem is different",
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},
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"timestamp": "05/01/2022 14:07:25",
"content": "because we're not choosing 3 elements",
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},
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"id": 970386193911009300,
"author_id": 933153827648045200,
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"timestamp": "05/01/2022 14:08:17",
"content": "How does it work then?",
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"timestamp": "05/01/2022 14:10:14",
"content": "@EndTimes for exxample this has 6720 unique combinations for a 8-digit number",
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"timestamp": "05/01/2022 14:14:48",
"content": "9!/3! is 60480",
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"timestamp": "05/01/2022 14:18:08",
"content": ".close",
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},
{
"id": 970388672891465700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 14:18:08",
"content": "Channel closed",
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}
] |
help-9
|
053489af96aa4051b7fe268ec0a8b657
|
199,683 |
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 14:19:08",
"content": "Available help channel!",
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"reference": null
},
{
"id": 970389555301744800,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 14:21:38",
"content": "A recursive sequence of numbers is defined as $a_{5}=55$, and $a_{1}=3$ and $a_{n+2}+a_{n+1}=a_{n}$. Determine $a_{n}$",
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},
{
"id": 970389558250336300,
"author_id": 805217272087838700,
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"timestamp": "05/01/2022 14:21:39",
"content": "Pinned a message.",
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}
},
{
"id": 970391157626503200,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 14:28:00",
"content": "A recursive sequence of numbers is defined as $a_{5}=55$, and $a_{1}=3$ and $a_{n+2}+a_{n+1}=a_{n}$. Determine $a_{n}$",
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},
{
"id": 970391168682717200,
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"timestamp": "05/01/2022 14:28:03",
"content": "**AuHasard**",
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"timestamp": "05/01/2022 14:28:19",
"content": "let's rewrite this",
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},
{
"id": 970391331497189400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/01/2022 14:28:42",
"content": "$a_n + a_{n-1} = a_{n-2}$",
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},
{
"id": 970391344558244000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/01/2022 14:28:45",
"content": "**EndTimes**",
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"timestamp": "05/01/2022 14:29:17",
"content": "$a_n = a_{(n-2)} - a_{(n-1)}$",
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},
{
"id": 970391569976950900,
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"timestamp": "05/01/2022 14:29:39",
"content": "**EndTimes**",
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"timestamp": "05/01/2022 14:30:34",
"content": "What",
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},
{
"id": 970391849766375400,
"author_id": 551269104800104450,
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"timestamp": "05/01/2022 14:30:45",
"content": "what",
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},
{
"id": 970391979655573600,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 14:31:16",
"content": "$a_{n+2}+a_{n+1}=a_{n}$ to $a_{n-2}-a_{n-1}=a_{n}$?",
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},
{
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"timestamp": "05/01/2022 14:31:19",
"content": "**AuHasard**",
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"timestamp": "05/01/2022 14:31:26",
"content": "yes, sort of",
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},
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"timestamp": "05/01/2022 14:31:46",
"content": "it's just shifting the index by 2",
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},
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"id": 970392395428548600,
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"timestamp": "05/01/2022 14:32:56",
"content": "but those two statements are not equivalent, however",
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"timestamp": "05/01/2022 14:33:05",
"content": "choice of symbols is kind of arbitrary",
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"author_id": 551269104800104450,
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"timestamp": "05/01/2022 14:33:17",
"content": "what i did is let n = n+2, to get rid of the +",
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"timestamp": "05/01/2022 14:35:30",
"content": "Okay what next? @EndTimes",
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"timestamp": "05/01/2022 14:50:30",
"content": "@AuHasard Has your question been resolved?",
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"timestamp": "05/01/2022 14:58:58",
"content": "$$a_{6}=a_{6+2}+a_{6+1}$$\n$$a_{6}=a_{7}+a_{8}$$",
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"author_name": "TeXit",
"timestamp": "05/01/2022 14:59:21",
"content": "**AuHasard**",
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"author_name": "vin100",
"timestamp": "05/01/2022 15:04:06",
"content": "you can try writing the characteristic polynomial first, then determine the nature of its roots.",
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"content": "https://en.wikipedia.org/wiki/Linear_recurrence_with_constant_coefficients",
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"content": "@AuHasard Has your question been resolved?",
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"timestamp": "05/01/2022 15:31:02",
"content": "Channel closed",
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}
] |
help-9
|
e274f13101ec40b0883745cf6de031c3
|
199,684 |
[
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"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 15:37:22",
"content": "Available help channel!",
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},
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"id": 970412222134247400,
"author_id": 893199688226971600,
"author_name": "Kolv loves",
"timestamp": "05/01/2022 15:51:43",
"content": "are points on the upper whisker of a boxplot considered outliers too?",
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"timestamp": "05/01/2022 15:53:53",
"content": "depends on where they are on the upper whisker",
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"timestamp": "05/01/2022 15:54:27",
"content": "Rule of thumb is if they are 1.5*IQR above where the whisker forms then its an outlier",
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"id": 970413403891974100,
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"author_name": "Kolv loves",
"timestamp": "05/01/2022 15:56:24",
"content": "exactly sitting on it",
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"author_name": "dldh06",
"timestamp": "05/01/2022 15:57:10",
"content": "Can you post an example?",
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"timestamp": "05/01/2022 15:57:27",
"content": "i meant to say they are sitting on the +1.5iqr point",
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"id": 970413678253981700,
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"author_name": "clip",
"timestamp": "05/01/2022 15:57:30",
"content": "Sitting on where the whisker connects to the box",
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"timestamp": "05/01/2022 15:57:39",
"content": "no",
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"id": 970413732750590100,
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"timestamp": "05/01/2022 15:57:43",
"content": "Ok",
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"author_name": "Kolv loves",
"timestamp": "05/01/2022 15:57:48",
"content": "on the end of the whisker",
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"author_name": "dldh06",
"timestamp": "05/01/2022 15:58:01",
"content": "As I asked, can you provide an example?",
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"timestamp": "05/01/2022 15:58:09",
"content": "Outer two yes",
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"author_name": "Kolv loves",
"timestamp": "05/01/2022 15:58:48",
"content": "there are points that are exactly on it. Should I count them as outliers?",
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"author_name": "clip",
"timestamp": "05/01/2022 16:00:05",
"content": "oh i see now. I would say they are all outliers since they are on the edge of the whisker",
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"timestamp": "05/01/2022 16:01:24",
"content": "sure?",
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"author_name": "Kolv loves",
"timestamp": "05/01/2022 16:01:41",
"content": "I tried to google it but not much information",
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"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 16:16:42",
"content": "@Kolv loves Has your question been resolved?",
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"timestamp": "05/01/2022 16:18:28",
"content": "@clip could you confirm please.",
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"timestamp": "05/01/2022 16:20:37",
"content": "I believe all points are outliers",
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"timestamp": "05/01/2022 16:31:42",
"content": "Channel closed",
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}
] |
help-9
|
69cdde5b7b5b4e34b3360535789ad2e0
|
199,685 |
[
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"content": "Available help channel!",
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{
"id": 970446774525374500,
"author_id": 185951040237994000,
"author_name": "TheTechn0mancer",
"timestamp": "05/01/2022 18:09:01",
"content": "The restriction for a grammar to be a type-1 grammar is that for each of it's productions `a --> b`, it must be true that `|a| <= |b|`. Wouldn't this cause every language with a null production (`a --> epsilon`) to not be a type-1 grammar? Typically epsilon is used to represent the null/empty symbol, and has 0 length. `|epsilon| = 0`",
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"content": "Pinned a message.",
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"author_name": "iCaird",
"timestamp": "05/01/2022 18:17:54",
"content": "Try one of the subject specific channels, more likely to get an answer from someone who knows this stuff",
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"content": "@TheTechn0mancer Has your question been resolved?",
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help-9
|
5952afd9c43a4c18ba79bee3aed400a8
|
199,686 |
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"content": "Available help channel!",
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"id": 970461824153694300,
"author_id": 308110015892553700,
"author_name": "Sywa",
"timestamp": "05/01/2022 19:08:49",
"content": "Is there a consistent way to find whether g(x) is greater than f(x)?",
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"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/01/2022 19:09:00",
"content": "Very vague question",
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"id": 970461903010816100,
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"author_name": "Sywa",
"timestamp": "05/01/2022 19:09:07",
"content": "oh",
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"id": 970461916810076200,
"author_id": 308110015892553700,
"author_name": "Sywa",
"timestamp": "05/01/2022 19:09:11",
"content": "true",
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"author_id": 689819432486305800,
"author_name": "Alexis.d",
"timestamp": "05/01/2022 19:10:11",
"content": "You usually look to the sign of g(x)-f(x)",
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"timestamp": "05/01/2022 19:10:48",
"content": "For 2, how would I be able to prove that it’s greater than or lesser than something like 1/n",
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"author_name": "Kaynex",
"timestamp": "05/01/2022 19:11:10",
"content": "You wouldn't",
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"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/01/2022 19:11:29",
"content": "Have you seen the limit comparison test? Try a limit comparison with 1/k²",
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"id": 970462800696709100,
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"author_name": "Sywa",
"timestamp": "05/01/2022 19:12:42",
"content": "Yeah that’s my idea",
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"id": 970462853414924300,
"author_id": 308110015892553700,
"author_name": "Sywa",
"timestamp": "05/01/2022 19:12:54",
"content": "But for that I then need to say that it’s greater or lesser than no?",
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"timestamp": "05/01/2022 19:13:33",
"content": "No that's the direct comparison test",
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"id": 970463148702330900,
"author_id": 308110015892553700,
"author_name": "Sywa",
"timestamp": "05/01/2022 19:14:04",
"content": "Oh I seee",
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"id": 970463170466574300,
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"author_name": "Sywa",
"timestamp": "05/01/2022 19:14:10",
"content": "Thank you 🙏",
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"author_name": "Kaynex",
"timestamp": "05/01/2022 19:14:18",
"content": "Good luck! Feel free to ask if you need anything else",
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"timestamp": "05/01/2022 19:14:23",
"content": ".close",
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"timestamp": "05/01/2022 19:14:23",
"content": "Channel closed",
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] |
help-9
|
26db6fd9871b451aac3d0763744bfd84
|
199,687 |
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"timestamp": "03/24/2022 04:41:37",
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"id": 956475542905962500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/24/2022 04:52:19",
"content": "you need to expand that expression and you will get a power series",
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"id": 956475782438481900,
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"timestamp": "03/24/2022 04:53:16",
"content": "expression of the form: a0 + a1 * x + a2 * x^2 + a3 * x^3 +...",
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"timestamp": "03/24/2022 04:53:33",
"content": "you need to get a2",
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"timestamp": "03/24/2022 04:53:58",
"content": "and then add 50C2 m^2",
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"timestamp": "03/24/2022 04:54:06",
"content": "Do you understand?",
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"author_name": "iron man",
"timestamp": "03/24/2022 04:56:34",
"content": "so geometric progression",
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},
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"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "03/24/2022 04:59:21",
"content": "I'm not sure if you need to expand it, you can use binomial theorem to calculate the coefficient of x²",
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"id": 956480385187991600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 05:11:34",
"content": "@iron man Has your question been resolved?",
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"timestamp": "03/24/2022 05:26:34",
"content": "Channel closed",
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}
] |
help-9
|
5b0f3fc6a6c1460090f48e9b08afbef7
|
199,688 |
[
{
"id": 970464349040820200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 19:18:51",
"content": "Available help channel!",
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},
{
"id": 970466995495649300,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 19:29:22",
"content": "One pipe can fill a pool 1.25 times as fast as a second pipe. When both pipes are opened, they fill the pool in five hours. How long would it take to fill the pool if only the slower pipe is used?",
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},
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"id": 970467000285540500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 19:29:23",
"content": "Pinned a message.",
"attachments": [],
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},
{
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"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:32:21",
"content": "1.25 x \nx",
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{
"id": 970467777934659600,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:32:28",
"content": "speed",
"attachments": [],
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},
{
"id": 970467830103433200,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 19:32:41",
"content": "What's the expession?",
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},
{
"id": 970467840568229900,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:32:43",
"content": "T = 1/ speed",
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},
{
"id": 970467873065689100,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:32:51",
"content": "well, proportional",
"attachments": [],
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},
{
"id": 970467875238318200,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 19:32:51",
"content": "v = s/t",
"attachments": [],
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},
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"id": 970467926907945000,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:33:04",
"content": "we’re using arbitrary units",
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},
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"id": 970467989008834700,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:33:19",
"content": "so T = 1/V",
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},
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"id": 970468067639455700,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:33:37",
"content": "T = 1/1.25x + 1/x",
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},
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"id": 970468133020246000,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:33:53",
"content": "sorta",
"attachments": [],
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"id": 970468172371210200,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 19:34:02",
"content": "what's T?",
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},
{
"id": 970468246908174300,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:34:20",
"content": "time period, so time taken to fill the pool",
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},
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"id": 970468345059082400,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:34:43",
"content": "5 = 2.25/1.25x",
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},
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"id": 970468480585449600,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:35:16",
"content": "x = 5/1.8",
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"author_name": "AuHasard",
"timestamp": "05/01/2022 19:35:42",
"content": "v = s/t\nFaster pipe fills the pool 5/4 as fast as the slower pipe, so if we express it in terms of the speed of the slower pipe, we have:\n5v/4 + 4v/4 = 9v/4",
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"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 19:36:01",
"content": "Now that we've their combined speed, how do we find the time?",
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},
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"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:36:34",
"content": "v = s/t\nt = s/v",
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},
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"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 19:36:53",
"content": "right",
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},
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"id": 970468891803390000,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:36:54",
"content": "get t in terms of s",
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},
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"id": 970468924334411800,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:37:02",
"content": "s is the total volume",
"attachments": [],
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},
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"id": 970469000754655200,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 19:37:20",
"content": "so t = 1/9/4",
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},
{
"id": 970469021013131300,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:37:25",
"content": "yep",
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},
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"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 19:37:38",
"content": "t = 4/9",
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},
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"id": 970469177095778400,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:38:02",
"content": "where are the variables",
"attachments": [],
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},
{
"id": 970469260008779800,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 19:38:22",
"content": "The ans should be 11.25 hours",
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},
{
"id": 970469276702109700,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:38:26",
"content": "yeah",
"attachments": [],
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},
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"id": 970469301037436900,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 19:38:31",
"content": "how do we get that",
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"id": 970469544386773000,
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"author_name": "Rylo",
"timestamp": "05/01/2022 19:39:29",
"content": "one sec, I’ll brb. you can either do it 1/t way or v = s/t way",
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"author_name": "Rylo",
"timestamp": "05/01/2022 19:39:34",
"content": "it will work both ways",
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"id": 970469577018462200,
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"author_name": "Rylo",
"timestamp": "05/01/2022 19:39:37",
"content": "one sec tho",
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"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:39:40",
"content": "i’ll be back",
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},
{
"id": 970470470501662700,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:43:10",
"content": "v = st",
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},
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"id": 970470493679407200,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:43:16",
"content": "*s/t",
"attachments": [],
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},
{
"id": 970470513543618600,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:43:20",
"content": "let’s do it the long way",
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},
{
"id": 970470584297328600,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:43:37",
"content": "in total",
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"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:43:46",
"content": "s = vt",
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"id": 970470638785556500,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:43:50",
"content": "WAIT VT",
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"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "05/01/2022 19:43:53",
"content": "after time, t, the amount the slow pipe fills it by 4vt/4, and the faster pipe fills it by 5vt/4. how do we write an expression for the rate both pipe fills?",
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"id": 970470945699536900,
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"author_name": "Rylo",
"timestamp": "05/01/2022 19:45:03",
"content": "s = (1.25+1)5\ns = (2.25)5",
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"id": 970470983074971600,
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"author_name": "Rylo",
"timestamp": "05/01/2022 19:45:12",
"content": "s = 11.25",
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},
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"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:45:31",
"content": "since your engine travels at 1 arbitrary unit",
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"author_name": "AuHasard",
"timestamp": "05/01/2022 19:45:44",
"content": "how you get 5",
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"author_name": "Rylo",
"timestamp": "05/01/2022 19:45:45",
"content": "s/1 = 11.25",
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"timestamp": "05/01/2022 19:45:53",
"content": "s = vt",
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"author_name": "Rylo",
"timestamp": "05/01/2022 19:46:06",
"content": "I’m using arbitrary units of speed",
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"timestamp": "05/01/2022 19:46:08",
"content": "hoow you get t = 5",
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"id": 970471247030943900,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:46:15",
"content": "given",
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"id": 970471262889590800,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:46:19",
"content": "5 hours",
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"id": 970471705522888700,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:48:05",
"content": "hello!",
"attachments": [],
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"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:48:18",
"content": "you could always called them 1.25v and 1v",
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},
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"timestamp": "05/01/2022 19:48:37",
"content": "so \ns = (2.25v)5",
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"author_name": "Rylo",
"timestamp": "05/01/2022 19:48:56",
"content": "s = 11.25v",
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},
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"author_name": "Rylo",
"timestamp": "05/01/2022 19:49:09",
"content": "the speed of slower tap = 1v",
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"author_name": "AuHasard",
"timestamp": "05/01/2022 19:49:44",
"content": "hmm",
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"id": 970472203512610800,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/01/2022 19:50:03",
"content": "so t = 11.25v/1v = 11.25",
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"author_name": "AuHasard",
"timestamp": "05/01/2022 19:50:31",
"content": "so the per-hour rate completion time for the slower pipe is 1/s, right? where 1 is one hour, and s is vt?",
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"timestamp": "05/01/2022 19:51:15",
"content": "or, 1/5v since t = 5",
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"timestamp": "05/01/2022 19:51:28",
"content": "yes, yes and yes",
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"id": 970472581989806200,
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"timestamp": "05/01/2022 19:51:34",
"content": "for this",
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"author_name": "AuHasard",
"timestamp": "05/01/2022 19:51:54",
"content": "and the faster pipe has the per hour rate completion time 5/4*5v",
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"author_name": "AuHasard",
"timestamp": "05/01/2022 19:51:58",
"content": "1/4v",
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"timestamp": "05/01/2022 19:52:21",
"content": "1/4v + 1/5v = 9/20v",
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"timestamp": "05/01/2022 19:52:33",
"content": "what's v 😄",
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"timestamp": "05/01/2022 19:52:57",
"content": "oof this was a complicated process",
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"timestamp": "05/01/2022 19:54:25",
"content": "the units of this don’t match with anything. you need to have s/v for units of t",
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"timestamp": "05/01/2022 19:54:35",
"content": "speed?",
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"timestamp": "05/01/2022 19:58:51",
"content": "this is the equivalent of having a magical horse cart. Each horse adds different speeds. Idk how far they take me but I know one horse is quicker than the other. 1.25x quicker. If I say the speed of the slower horse is v. Total speed of horses = 2.25v\ntime taken is 5 hours. so distance travelled (s) = 11.25v \ntime it would take if it was just horse with 1 v ; v = s/t \nt = s/v= 11.25v/v",
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"content": "= 11.25",
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"content": "similarly, you could check for the quicker horse too",
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] |
help-9
|
f31783d0fda646228d98b59911fb5372
|
199,689 |
[
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"content": "How did k become 360? I understand that k is a constant, but what does it mean in this context?",
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"content": "They plugged (x, y, z) = (1,2,2) into T, and set it equal to 120 and solved for k",
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"content": "Ohhh I understand now how they calculated it, thank you. But what does it mean in this context? Is it the magnitude?",
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"content": "Yeah it does affect the magnitude of T, sure",
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"content": "In general k is the constant of proportionality, you'll notice they mentioned the temperature is (inversely) proportional to the distance so you need this constant to fully describe the relationship",
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"content": "Hmm...I think I understand its context now. This is basically like a vector with temp & distance",
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"timestamp": "05/01/2022 20:56:21",
"content": "Thank you for helping me, I appreciate it! My mind went blank when I saw all those numbers haha",
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help-9
|
b0030a60e35a4e319f583a3e6628c76f
|
199,690 |
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"content": "Uh",
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"content": "is someone okay with voicecalling cuz i feel more easy to understand through voicecall",
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"content": "@huhmeem Has your question been resolved?",
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help-9
|
4e54a3ca86af49fe8ced7d78f9bac941
|
199,691 |
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"content": "Use the 30 60 90 triangle concept",
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"content": "tysm again",
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help-9
|
16d7cdb472c44e6faba48420f1f4161e
|
199,692 |
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"content": "$\\log(\\frac{(1 + x^{-1})^{x^2}}{e^x}) = x^2 \\log(1 + \\frac{1}{x}) - x = x^2\\paren{\\frac{1}{x} - \\frac{1}{2x^2} + o(x^{-2})} - x = -\\frac{1}{2} + o(1)$",
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}
] |
help-9
|
f77b328281694e7288b45a4de394052f
|
199,693 |
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{
"id": 970531715560919000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/01/2022 23:46:32",
"content": "Available help channel!",
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},
{
"id": 970533187728064600,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "05/01/2022 23:52:23",
"content": "Hi, I have a question specifically about what the units here represent, what exactly, in the physical world, is (mass of silver + mass of gold) exactly?",
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"timestamp": "05/01/2022 23:52:23",
"content": "Pinned a message.",
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{
"id": 970533290253627400,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "05/01/2022 23:52:48",
"content": "How can we add two completely different units?",
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},
{
"id": 970533805901357200,
"author_id": 370444508644769800,
"author_name": "DootDooter",
"timestamp": "05/01/2022 23:54:50",
"content": "Units of mass?",
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{
"id": 970534026840535000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/01/2022 23:55:43",
"content": "are you trying to say that mass of silver and mass of gold are two Fundamentally Distinct Quantities which Cannot Be Added Ever?",
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},
{
"id": 970534125150826500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/01/2022 23:56:07",
"content": "even though both quantities can be measured in the same unit, say grams?",
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{
"id": 970534132813819900,
"author_id": 370444508644769800,
"author_name": "DootDooter",
"timestamp": "05/01/2022 23:56:08",
"content": "Maybe they are mistaking the variables m_s and m_g for units? 🤔",
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},
{
"id": 970534329446969300,
"author_id": 227858073497108480,
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"timestamp": "05/01/2022 23:56:55",
"content": "My question is asking about what the total product would be",
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"id": 970534367887769600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/01/2022 23:57:04",
"content": "wym \"total product\"?",
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"id": 970534457771700200,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "05/01/2022 23:57:26",
"content": "When we add the two quantities what is the final unit",
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},
{
"id": 970534487270252500,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "05/01/2022 23:57:33",
"content": "What does adding those two represent",
"attachments": [],
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},
{
"id": 970534494866120700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/01/2022 23:57:35",
"content": "what units were m_s and m_g given in?",
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},
{
"id": 970534522133307400,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "05/01/2022 23:57:41",
"content": "Grams",
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},
{
"id": 970534549052346400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/01/2022 23:57:48",
"content": "then the sum is also measured in grams.",
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"id": 970534556887318500,
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"author_name": "rice",
"timestamp": "05/01/2022 23:57:50",
"content": "No they are units",
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"id": 970534701804695600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/01/2022 23:58:24",
"content": "to answer the question of \"what does m_s + m_g represent\" we need context",
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"id": 970534734226677800,
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"author_name": "rice",
"timestamp": "05/01/2022 23:58:32",
"content": "Okay but what is it, it has the property of being in grams but what is it, is it a new one distinct from the two",
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"id": 970534749946933200,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "05/01/2022 23:58:36",
"content": "Okay",
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},
{
"id": 970534766279532500,
"author_id": 370444508644769800,
"author_name": "DootDooter",
"timestamp": "05/01/2022 23:58:39",
"content": "Seems like if we're calling those things units we could simplify them to more common units of mass like grams then.",
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},
{
"id": 970534931199574000,
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"author_name": "rice",
"timestamp": "05/01/2022 23:59:19",
"content": "If they were the same unit and could be simplifies to grams wouldn’t it be… 2g then? As a unit",
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},
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"timestamp": "05/01/2022 23:59:23",
"content": "",
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{
"id": 970534956218609700,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "05/01/2022 23:59:25",
"content": "Here is the context",
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},
{
"id": 970535013902876800,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "05/01/2022 23:59:38",
"content": "I am asked to find the density given either two volumes or two masses",
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},
{
"id": 970535052230418400,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "05/01/2022 23:59:48",
"content": "So I thought I could be cheeky and just use the percentages",
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},
{
"id": 970535093393326100,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "05/01/2022 23:59:57",
"content": "40% of silver and 60% of gold",
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},
{
"id": 970535140596019200,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "05/02/2022 00:00:09",
"content": "But this only works for the volumes and not the mass",
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},
{
"id": 970535181578559500,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "05/02/2022 00:00:18",
"content": "And I am trying to work through all of the units to figure out why this is the case",
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},
{
"id": 970535186431352800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/02/2022 00:00:20",
"content": "okay let's see here",
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},
{
"id": 970535209059622900,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "05/02/2022 00:00:25",
"content": "I mean I know the answer now",
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},
{
"id": 970535326642761700,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "05/02/2022 00:00:53",
"content": "It’s because we can’t add on different fractions and you can take the reciprocal instead for mass to find it the way you would find for volumes",
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},
{
"id": 970535335345934300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/02/2022 00:00:55",
"content": "okay so you're asked to find the density of two alloys given the amounts of the metals going into them",
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},
{
"id": 970535373996441700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/02/2022 00:01:04",
"content": "in one case you're given the _masses_ and in the other the volumes",
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},
{
"id": 970535408914018300,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "05/02/2022 00:01:13",
"content": "I am only interested in what (ms + mg) represents",
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},
{
"id": 970535448252403700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/02/2022 00:01:22",
"content": "so m_s + m_g has a very straightforward meaning: it is the mass of the alloy",
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{
"id": 970535515721977900,
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"author_name": "rice",
"timestamp": "05/02/2022 00:01:38",
"content": "Okay so the unit would be 2 * grams then?",
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{
"id": 970535542599073800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/02/2022 00:01:45",
"content": "no the unit would be grams still",
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"id": 970535580402319500,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "05/02/2022 00:01:54",
"content": "Why if we add two gram units",
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{
"id": 970535613906444300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/02/2022 00:02:02",
"content": "when you add a quantity in hours to another quantity in hours, do you get something measured in double-hours?",
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"id": 970535640779333600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/02/2022 00:02:08",
"content": "does 3 hours + 7 hours equal 10 double-hours?",
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},
{
"id": 970535695603077100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/02/2022 00:02:21",
"content": "of course not.",
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"id": 970535724925460500,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "05/02/2022 00:02:28",
"content": "No but we wouldn’t write it like that either",
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},
{
"id": 970535782236438500,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "05/02/2022 00:02:42",
"content": "We would write (3+7)*hours",
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"id": 970535808434061300,
"author_id": 227858073497108480,
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"timestamp": "05/02/2022 00:02:48",
"content": "Not ms+mg",
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"author_name": "Ann",
"timestamp": "05/02/2022 00:02:51",
"content": "...",
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"author_id": 370444508644769800,
"author_name": "DootDooter",
"timestamp": "05/02/2022 00:02:54",
"content": "You wouldn't write double-grams or 2grams either.",
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},
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"id": 970535849789902800,
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"author_name": "Ann",
"timestamp": "05/02/2022 00:02:58",
"content": "m_s = 40 g",
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"author_name": "Ann",
"timestamp": "05/02/2022 00:03:00",
"content": "m_g = 60 g",
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"id": 970535878302789600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/02/2022 00:03:05",
"content": "m_s + m_g = 100 g",
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"id": 970535945864642600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/02/2022 00:03:21",
"content": "i fail to see the problem",
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{
"id": 970535966244749300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/02/2022 00:03:26",
"content": "unless you think grams are special and don't behave like any other unit of measurement, or something.",
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"id": 970536010377199600,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "05/02/2022 00:03:36",
"content": "youre cheeky",
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"id": 970536072763306000,
"author_id": 370444508644769800,
"author_name": "DootDooter",
"timestamp": "05/02/2022 00:03:51",
"content": "It's just how people usually handle units is all.",
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{
"id": 970536156280271000,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "05/02/2022 00:04:11",
"content": "The problem is that I’m just trying to understand how to keep units for dimensional analysis",
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},
{
"id": 970536301176684500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/02/2022 00:04:45",
"content": "adding two quantities in the same unit produces another quantity in the same unit",
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{
"id": 970536349117583500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/02/2022 00:04:57",
"content": "a quantity in meters added to another quantity in meters gives a quantity in meters",
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"id": 970536451123068900,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "05/02/2022 00:05:21",
"content": "Actually dooter I think you might have been right about the variables",
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"id": 970536453106970800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/02/2022 00:05:22",
"content": "a quantity in amperes added to another quantity in amperes gives a quantity in amperes",
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"id": 970536496924872700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/02/2022 00:05:32",
"content": "as far as dimensional analysis goes, kg + kg = kg",
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"id": 970536662503395300,
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"timestamp": "05/02/2022 00:06:12",
"content": "No yea okay",
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"id": 970537204797538300,
"author_id": 227858073497108480,
"author_name": "rice",
"timestamp": "05/02/2022 00:08:21",
"content": "Yea Dooter you were right hah, my bad. Thank you for taking the time to answer my silly question",
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{
"id": 970537214926803000,
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"author_name": "rice",
"timestamp": "05/02/2022 00:08:23",
"content": ".close",
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},
{
"id": 970537216927469600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/02/2022 00:08:24",
"content": "Channel closed",
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}
] |
help-9
|
03389c7ad9934b1a91fc743b5970a077
|
199,694 |
[
{
"id": 970571456138334200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/02/2022 02:24:27",
"content": "Available help channel!",
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},
{
"id": 970571754605006800,
"author_id": 697323733769257100,
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"id": 970571757083836500,
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"author_name": "Mathematics Bot",
"timestamp": "05/02/2022 02:25:39",
"content": "Pinned a message.",
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"id": 970571827040620500,
"author_id": 697323733769257100,
"author_name": "Gali",
"timestamp": "05/02/2022 02:25:55",
"content": "I have had to prove this",
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},
{
"id": 970571865137483800,
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"author_name": "Gali",
"timestamp": "05/02/2022 02:26:05",
"content": "all g",
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},
{
"id": 970572011875233800,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "05/02/2022 02:26:39",
"content": "because of similar triangles",
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},
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"id": 970572562289541100,
"author_id": 697323733769257100,
"author_name": "Gali",
"timestamp": "05/02/2022 02:28:51",
"content": "yea but why",
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},
{
"id": 970572570485211100,
"author_id": 697323733769257100,
"author_name": "Gali",
"timestamp": "05/02/2022 02:28:53",
"content": "like",
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},
{
"id": 970572622830108700,
"author_id": 697323733769257100,
"author_name": "Gali",
"timestamp": "05/02/2022 02:29:05",
"content": "if we know the 2 of the angles are the same",
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},
{
"id": 970572652232179700,
"author_id": 697323733769257100,
"author_name": "Gali",
"timestamp": "05/02/2022 02:29:12",
"content": "what does the line below show",
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},
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"id": 970572700735135700,
"author_id": 697323733769257100,
"author_name": "Gali",
"timestamp": "05/02/2022 02:29:24",
"content": "is it cuz the angles are the sam",
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},
{
"id": 970572704996540400,
"author_id": 697323733769257100,
"author_name": "Gali",
"timestamp": "05/02/2022 02:29:25",
"content": "e",
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"id": 970572717894012900,
"author_id": 697323733769257100,
"author_name": "Gali",
"timestamp": "05/02/2022 02:29:28",
"content": "so are the side?",
"attachments": [],
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},
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"id": 970572980658786300,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/02/2022 02:30:30",
"content": "this is a proposition proved in many plane geometry books, say in *Machine Proofs in Geometry* written by Jing-Zhong Zhang, Xiao-Shan Gao and Shang-Ching Chou in 1994.",
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"id": 970573046656172000,
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"author_name": "Gali",
"timestamp": "05/02/2022 02:30:46",
"content": "damn",
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},
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"id": 970573119859359700,
"author_id": 697323733769257100,
"author_name": "Gali",
"timestamp": "05/02/2022 02:31:04",
"content": "ok",
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},
{
"id": 970573473913143400,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/02/2022 02:32:28",
"content": "http://www.mmrc.iss.ac.cn/~xgao/paper/book-area.pdf",
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"id": 970573593467584500,
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"author_name": "Gali",
"timestamp": "05/02/2022 02:32:57",
"content": "but how do the triangles multiple?",
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"id": 970573630926909400,
"author_id": 697323733769257100,
"author_name": "Gali",
"timestamp": "05/02/2022 02:33:05",
"content": "sorry sides of the triangles",
"attachments": [],
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},
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"id": 970573739559383000,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/02/2022 02:33:31",
"content": "gimme a sec lemme retrieve the proof of this well-known co-angle theorem",
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},
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"id": 970573781544345600,
"author_id": 697323733769257100,
"author_name": "Gali",
"timestamp": "05/02/2022 02:33:41",
"content": "ok thank you",
"attachments": [],
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},
{
"id": 970573952130883600,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/02/2022 02:34:22",
"content": "at your lvl, you can treat $\\grad ABC$ as area of $\\triangle ABC$, which is non-negative",
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"id": 970573964285984800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/02/2022 02:34:25",
"content": "**vin100**",
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"id": 970574017784340500,
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"author_name": "Gali",
"timestamp": "05/02/2022 02:34:38",
"content": "ok",
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"id": 970574144435548200,
"author_id": 697323733769257100,
"author_name": "Gali",
"timestamp": "05/02/2022 02:35:08",
"content": "but isn't area of a triangle 1/2bh",
"attachments": [],
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},
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"id": 970574184600178700,
"author_id": 697323733769257100,
"author_name": "Gali",
"timestamp": "05/02/2022 02:35:18",
"content": "(1/2)bh",
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},
{
"id": 970574378632896500,
"author_id": 697323733769257100,
"author_name": "Gali",
"timestamp": "05/02/2022 02:36:04",
"content": "hold up im on the document",
"attachments": [],
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},
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"id": 970574450619719700,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/02/2022 02:36:21",
"content": "",
"attachments": [
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"id": 970574633583644700,
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"author_name": "vin100",
"timestamp": "05/02/2022 02:37:05",
"content": "yes, area of triangle = (1/2) * base * height",
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},
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"id": 970574910831345700,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/02/2022 02:38:11",
"content": "there're a few possibilities for base and height, say base = BC, height = AB sin B",
"attachments": [],
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},
{
"id": 970575009871437800,
"author_id": 697323733769257100,
"author_name": "Gali",
"timestamp": "05/02/2022 02:38:34",
"content": "ok",
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},
{
"id": 970575019707076600,
"author_id": 697323733769257100,
"author_name": "Gali",
"timestamp": "05/02/2022 02:38:37",
"content": "i get that",
"attachments": [],
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},
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"id": 970575312746328000,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/02/2022 02:39:46",
"content": "",
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"id": 970575514785955800,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/02/2022 02:40:35",
"content": "in this book, there's another wonderful, but basic theorem called the Co-side Theorem.",
"attachments": [],
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},
{
"id": 970575568271708300,
"author_id": 697323733769257100,
"author_name": "Gali",
"timestamp": "05/02/2022 02:40:47",
"content": "is it the same book?",
"attachments": [],
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},
{
"id": 970575634327810000,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/02/2022 02:41:03",
"content": "yes, it appeared before this co-angle theorem",
"attachments": [],
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},
{
"id": 970575710827737100,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/02/2022 02:41:21",
"content": "in the English literature, this is better known as the Area Method.",
"attachments": [],
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},
{
"id": 970575739323813900,
"author_id": 697323733769257100,
"author_name": "Gali",
"timestamp": "05/02/2022 02:41:28",
"content": "ok",
"attachments": [],
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},
{
"id": 970576174549962800,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/02/2022 02:43:12",
"content": "Using this Co-side Theorem, together with the point elimination method (eliminate \"newer\" points that depend on \"older\" points), many classical and nontrivial results in plane geometry can be mechanically proved.",
"attachments": [],
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},
{
"id": 970576425746841600,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/02/2022 02:44:12",
"content": "that gives rise to an area called machines proofs in geometry",
"attachments": [],
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"reference": null
},
{
"id": 970579515426365400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/02/2022 02:56:28",
"content": "@Gali Has your question been resolved?",
"attachments": [],
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"name": "Gali",
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"nickname": "Gali",
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"id": 970583291126247400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/02/2022 03:11:29",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
28a9d0eef06a491b9aba4681c1387e94
|
199,695 |
[
{
"id": 970583544080531500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/02/2022 03:12:29",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 970588355056259100,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "05/02/2022 03:31:36",
"content": "",
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"id": 970588356813680600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/02/2022 03:31:36",
"content": "Pinned a message.",
"attachments": [],
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"id": 970588597713530900,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "05/02/2022 03:32:34",
"content": "hi im just curious if this person marked the wrong center",
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},
{
"id": 970588664214224900,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "05/02/2022 03:32:50",
"content": "he marked (0,-1) right?",
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},
{
"id": 970588714365509600,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "05/02/2022 03:33:02",
"content": "just need someone to clarify that he marked (0,-1)",
"attachments": [],
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},
{
"id": 970589235637801000,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "05/02/2022 03:35:06",
"content": "yes",
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},
{
"id": 970589255283908600,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "05/02/2022 03:35:11",
"content": "ok thanks",
"attachments": [],
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"reference": null
},
{
"id": 970589313760915500,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "05/02/2022 03:35:25",
"content": "i got confused by his wrong marking",
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},
{
"id": 970589745451245600,
"author_id": 801343305169895400,
"author_name": "LichBaw_GT",
"timestamp": "05/02/2022 03:37:08",
"content": ".close",
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},
{
"id": 970589747141566500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/02/2022 03:37:08",
"content": "Channel closed",
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}
] |
help-9
|
802ba740728f4a8cb97e646a2b2b7706
|
199,696 |
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{
"id": 970626753603194900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/02/2022 06:04:11",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 970628891779694600,
"author_id": 794882117590974500,
"author_name": "Rust",
"timestamp": "05/02/2022 06:12:41",
"content": "(1+tan1)(1+tan44) = 2\n(1+tan2)(1+tan43)= 2\n.\n.\n.\n(1+tan30)(1+tan15)=2\nor\n(1+tanx)(1+tany)=2\nwhere x+y=45\n\nCan someone explain this to me?",
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"id": 970628894040408000,
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"timestamp": "05/02/2022 06:12:41",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 970629421893566500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/02/2022 06:14:47",
"content": "$(1 + \\tan(x))(1 + \\tan(45^\\circ - x)) = 2$",
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},
{
"id": 970629429984374800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/02/2022 06:14:49",
"content": "**Ann**",
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"id": 970629433985736800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/02/2022 06:14:50",
"content": "this?",
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},
{
"id": 970629483394641900,
"author_id": 794882117590974500,
"author_name": "Rust",
"timestamp": "05/02/2022 06:15:02",
"content": "Yeah",
"attachments": [],
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},
{
"id": 970629531645907000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/02/2022 06:15:13",
"content": "have you proven trig identities before",
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},
{
"id": 970629558753710200,
"author_id": 794882117590974500,
"author_name": "Rust",
"timestamp": "05/02/2022 06:15:20",
"content": "No",
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},
{
"id": 970629602739368000,
"author_id": 794882117590974500,
"author_name": "Rust",
"timestamp": "05/02/2022 06:15:30",
"content": "I mean yeah but not this one",
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},
{
"id": 970629738139906000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/02/2022 06:16:03",
"content": "are you familiar with angle sum/difference identities",
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},
{
"id": 970629765490946000,
"author_id": 794882117590974500,
"author_name": "Rust",
"timestamp": "05/02/2022 06:16:09",
"content": "Yeah",
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},
{
"id": 970629884399464400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/02/2022 06:16:37",
"content": "okay then apply that to tan(45° - x) and simplify",
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},
{
"id": 970630013231718400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/02/2022 06:17:08",
"content": "you might find it useful to denote $\\tan(x)$ with a single letter, say $t$, after which the problem becomes simplifying $(1+t)\\paren{1 + \\frac{1-t}{1+t}}$",
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},
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"id": 970630094253076600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/02/2022 06:17:27",
"content": "**Ann**",
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"id": 970630264676057100,
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"author_name": "Rust",
"timestamp": "05/02/2022 06:18:08",
"content": "I just wanted to know the explaination for this😀",
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},
{
"id": 970630326613336000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/02/2022 06:18:23",
"content": "and i am giving you the tools to arrive at such an explanation yourself",
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},
{
"id": 970630590502170600,
"author_id": 794882117590974500,
"author_name": "Rust",
"timestamp": "05/02/2022 06:19:26",
"content": "Uh....okay\nThanks",
"attachments": [],
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},
{
"id": 970630656143016000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/02/2022 06:19:41",
"content": "Channel closed",
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}
] |
help-9
|
85d9246e6acb430cb23f9607fdc1a638
|
199,697 |
[
{
"id": 970631417690222700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/02/2022 06:22:43",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 970632938863611900,
"author_id": 580500895113150500,
"author_name": "Bolo",
"timestamp": "05/02/2022 06:28:46",
"content": "can some1 factorize this equation step by step for me, please? :c",
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"timestamp": "05/02/2022 06:28:46",
"content": "Pinned a message.",
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"id": 970633161300115500,
"author_id": 580500895113150500,
"author_name": "Bolo",
"timestamp": "05/02/2022 06:29:39",
"content": "forgive my ugly handwriting, btw",
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},
{
"id": 970633258696077300,
"author_id": 969810701889699800,
"author_name": "Jeffery",
"timestamp": "05/02/2022 06:30:02",
"content": "that question is really basic",
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},
{
"id": 970633324353716200,
"author_id": 969810701889699800,
"author_name": "Jeffery",
"timestamp": "05/02/2022 06:30:18",
"content": "plz read your math book more carefully",
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},
{
"id": 970633703917244500,
"author_id": 580500895113150500,
"author_name": "Bolo",
"timestamp": "05/02/2022 06:31:48",
"content": "...",
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},
{
"id": 970633915725385700,
"author_id": 324471155304038400,
"author_name": "run",
"timestamp": "05/02/2022 06:32:39",
"content": "its a^2 - 8*a -128 right?",
"attachments": [],
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},
{
"id": 970633972411404300,
"author_id": 324471155304038400,
"author_name": "run",
"timestamp": "05/02/2022 06:32:52",
"content": "or is it a^2 - 8*a - 728 i can't tell",
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"content": "@Bolo",
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"content": "128!",
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"timestamp": "05/02/2022 06:34:17",
"content": "aight so you know the basic steps when factoring quadratics yea",
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"author_name": "Jeffery",
"timestamp": "05/02/2022 06:34:50",
"content": "are you a French boy",
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"timestamp": "05/02/2022 06:34:52",
"content": "just a small tip: dont put exclamation sign much when in a math server this can mean something else as well\nIn this context we understand that its just 128 lol",
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"timestamp": "05/02/2022 06:35:04",
"content": "lmao true",
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"timestamp": "05/02/2022 06:35:14",
"content": "I see, gotta be careful with factorials",
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"timestamp": "05/02/2022 06:35:36",
"content": "so is it the process or a specific step ur stuck on",
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"timestamp": "05/02/2022 06:35:37",
"content": "I think so",
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"timestamp": "05/02/2022 06:36:07",
"content": "you have to find two numbers which sum to -8 and multiply to give -128",
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"timestamp": "05/02/2022 06:36:09",
"content": "that stuff",
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"author_name": "Bolo",
"timestamp": "05/02/2022 06:37:09",
"content": "That's not how we are taught here, I'll show you my try",
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"timestamp": "05/02/2022 06:37:29",
"content": "wait do you guys use completing the square or smth?",
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"author_name": "run",
"timestamp": "05/02/2022 06:37:49",
"content": "you complete the square and move the remaining constant to RHS",
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"id": 970635234926284800,
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"author_name": "run",
"timestamp": "05/02/2022 06:37:53",
"content": "and then square root both sides",
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"id": 970635375993315300,
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"author_name": "Bolo",
"timestamp": "05/02/2022 06:38:27",
"content": "not at all",
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"timestamp": "05/02/2022 06:38:33",
"content": "zamn",
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"author_id": 324471155304038400,
"author_name": "run",
"timestamp": "05/02/2022 06:38:47",
"content": "do you have a screenshot of the method or smth",
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"id": 970635522949132300,
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"author_name": "Bolo",
"timestamp": "05/02/2022 06:39:02",
"content": "I think I got it right",
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"timestamp": "05/02/2022 06:39:03",
"content": "",
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"timestamp": "05/02/2022 06:39:07",
"content": "Is this it?",
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"author_name": "run",
"timestamp": "05/02/2022 06:39:07",
"content": "yep thats right",
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"id": 970635557824766000,
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"timestamp": "05/02/2022 06:39:10",
"content": "wait soz",
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"id": 970635607183339500,
"author_id": 324471155304038400,
"author_name": "run",
"timestamp": "05/02/2022 06:39:22",
"content": "should be (a+8)(a-16) right?",
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"author_id": 580500895113150500,
"author_name": "Bolo",
"timestamp": "05/02/2022 06:39:26",
"content": "thanks, I was just flustered",
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"id": 970635643220815900,
"author_id": 324471155304038400,
"author_name": "run",
"timestamp": "05/02/2022 06:39:30",
"content": "i think you mixed up the signs",
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"id": 970635973169905800,
"author_id": 580500895113150500,
"author_name": "Bolo",
"timestamp": "05/02/2022 06:40:49",
"content": "I did",
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"author_id": 324471155304038400,
"author_name": "run",
"timestamp": "05/02/2022 06:41:04",
"content": "other than that should be all gs",
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},
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"id": 970636105030463500,
"author_id": 580500895113150500,
"author_name": "Bolo",
"timestamp": "05/02/2022 06:41:20",
"content": "tks 😉",
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"id": 970637057057755100,
"author_id": 324471155304038400,
"author_name": "run",
"timestamp": "05/02/2022 06:45:07",
"content": ".close",
"attachments": [],
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},
{
"id": 970637067442876400,
"author_id": 324471155304038400,
"author_name": "run",
"timestamp": "05/02/2022 06:45:10",
"content": "wait",
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{
"id": 970637079610527700,
"author_id": 324471155304038400,
"author_name": "run",
"timestamp": "05/02/2022 06:45:13",
"content": "you gotta do that",
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{
"id": 970637115195019300,
"author_id": 324471155304038400,
"author_name": "run",
"timestamp": "05/02/2022 06:45:21",
"content": "to close the channel",
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},
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"id": 970637130806231000,
"author_id": 324471155304038400,
"author_name": "run",
"timestamp": "05/02/2022 06:45:25",
"content": "so that other people can use it",
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"content": "sorry, I'm new here",
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"id": 970637225689772000,
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"content": ".close",
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"id": 970637227631730700,
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"author_name": "Mathematics Bot",
"timestamp": "05/02/2022 06:45:48",
"content": "Channel closed",
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] |
help-9
|
d097fa5a039d4275a990493bcdd90165
|
199,698 |
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"author_id": 805217272087838700,
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"timestamp": "03/24/2022 05:27:34",
"content": "Available help channel!",
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"id": 956486487384404000,
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"author_name": "Yato",
"timestamp": "03/24/2022 05:35:49",
"content": "Pretty confused on what to do after this",
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"content": "Pinned a message.",
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"timestamp": "03/24/2022 05:36:29",
"content": "Rationalize the denominator",
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"id": 956486795435049000,
"author_id": 529668257339408400,
"author_name": "Mr.Darkside",
"timestamp": "03/24/2022 05:37:02",
"content": "Try to make it in the form a²-b²",
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"id": 956486824090562600,
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"content": "ight",
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"content": "@Yato Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
c01a8cb1d72b49da9bc3ba2bd05bf438
|
199,699 |
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"content": "Available help channel!",
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"id": 970637814167400400,
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"content": "how do i cancel the logs?",
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"content": "hi recall from the definition of log as an inverse function of exponentiation",
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"content": ",,a^x = b \\iff x = \\log_a b",
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"id": 970640580587683800,
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"timestamp": "05/02/2022 06:59:08",
"content": "**vin100**",
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"content": "for $a,b > 0$.",
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"content": "**vin100**",
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"timestamp": "05/02/2022 07:00:09",
"content": "@Ent1re just use simple manipulation techniques of logarithm",
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"id": 970641208990908400,
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"timestamp": "05/02/2022 07:01:37",
"content": "techniques are derived from the defintion",
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"id": 970641304138711000,
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"timestamp": "05/02/2022 07:02:00",
"content": "which one do i use?",
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"id": 970641404218974200,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/02/2022 07:02:24",
"content": "here 9 is a power of 3 and we observe that on the RHS, the base 2 matches the lowerscript '2' at the right of the log",
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"content": "just the definition",
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"timestamp": "05/02/2022 07:03:21",
"content": "like this?",
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"timestamp": "05/02/2022 07:04:00",
"content": "yes, then lemme explain the RHS",
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"timestamp": "05/02/2022 07:04:11",
"content": "then you need some techniques for the LHS",
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"timestamp": "05/02/2022 07:04:23",
"content": "i'll explain the RHS first",
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"timestamp": "05/02/2022 07:04:40",
"content": "in the definition",
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"content": ",,a^x = b \\iff x = \\log_a b",
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"content": "**vin100**",
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"timestamp": "05/02/2022 07:05:26",
"content": "here i used a double arrow as a shorthand for \"if and only if\". that means two sides are logically equivalent",
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"timestamp": "05/02/2022 07:06:03",
"content": "if you have one side correct then you can say the other side is correct",
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"content": "here on the RHS the base $a = 2$",
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"content": "**vin100**",
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"timestamp": "05/02/2022 07:06:53",
"content": "the index $\\log_2(2x+3)$ takes the role of $x$",
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"content": "**vin100**",
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"content": "and $2x+3$ takes the role of $b$",
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"content": "**vin100**",
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"timestamp": "05/02/2022 07:08:46",
"content": "so i get this and can cancel the logs right?",
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"timestamp": "05/02/2022 07:11:49",
"content": "the RHS is trivially verified, so we jump to the LHS $$2^{\\log_2(2x+3)}=2x+3,$$ which is a monomial.",
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"timestamp": "05/02/2022 07:11:52",
"content": "**vin100**",
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"timestamp": "05/02/2022 07:12:04",
"content": "that's much simpler 🙂",
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"author_name": "vin100",
"timestamp": "05/02/2022 07:13:20",
"content": "for new starters you might try thinking $2^? = 2x + 3$ and $?=\\log_2(2x+3)$.",
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"timestamp": "05/02/2022 07:13:23",
"content": "**vin100**",
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"timestamp": "05/02/2022 07:13:49",
"content": "that's easier to read",
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"author_name": "vin100",
"timestamp": "05/02/2022 07:16:23",
"content": "for the LHS you're free to choose either prop 5 or prop 6",
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"timestamp": "05/02/2022 07:17:09",
"content": "to make sth like $$a^{\\log_a x},$$ which is by definition $x$",
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"content": "**vin100**",
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"timestamp": "05/02/2022 07:25:36",
"content": "thanks for the help",
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"timestamp": "05/02/2022 07:25:51",
"content": ".close",
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"timestamp": "05/02/2022 07:25:52",
"content": "Channel closed",
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}
] |
help-9
|
f66cdf1b9f3e4a298a2e736ec67796b8
|
199,700 |
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"content": "Available help channel!",
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"id": 970658256101974000,
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"author_name": "kimchi",
"timestamp": "05/02/2022 08:09:22",
"content": "can someone please tell me what im doing wrong",
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"content": "Pinned a message.",
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"author_name": "iCaird",
"timestamp": "05/02/2022 08:14:23",
"content": "Remember you divide by factorials",
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"content": "@kimchi Has your question been resolved?",
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"timestamp": "05/02/2022 08:39:23",
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] |
help-9
|
70a17774f7b6468b841cafdc4d40ae0e
|
199,701 |
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"author_name": "Legendang",
"timestamp": "05/02/2022 08:42:05",
"content": "Can anyone tell me what does \"y and u are differentiable at x\" means?",
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"timestamp": "05/02/2022 08:42:05",
"content": "Pinned a message.",
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"timestamp": "05/02/2022 08:57:05",
"content": "@Legendang Has your question been resolved?",
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"timestamp": "05/02/2022 08:59:31",
"content": "@Helpers",
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"id": 970678427730468900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/02/2022 09:29:31",
"content": "@Legendang Has your question been resolved?",
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"id": 970678730240430200,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/02/2022 09:30:43",
"content": "u(x) and y(x) exist and you can differentiate them",
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"id": 970681580714590300,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/02/2022 09:42:03",
"content": "Specifically, the limit definition of the derivative exists there",
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"id": 970683981479690200,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "05/02/2022 09:51:35",
"content": "yeah",
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"timestamp": "05/02/2022 09:59:31",
"content": "Channel closed",
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}
] |
help-9
|
82d2d247506e4250aa0d0c27f6a14ea5
|
199,702 |
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"timestamp": "05/02/2022 10:00:32",
"content": "Available help channel!",
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"id": 970686584083079300,
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"author_name": "Legendang",
"timestamp": "05/02/2022 10:01:56",
"content": "Do you mean the limit of First Principles?",
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"timestamp": "05/02/2022 10:16:56",
"content": "@Legendang Has your question been resolved?",
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"author_id": 245091211486953470,
"author_name": "1345631",
"timestamp": "05/02/2022 10:18:33",
"content": "\"y is differentiable at x\" means that y is a function defined on a neighbourhood of x and the limit $$\\lim_{h \\to 0} \\dfrac{y(x+h) - y(x)}{h}$$ exists.",
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"timestamp": "05/02/2022 10:18:36",
"content": "**1345631**",
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"timestamp": "05/02/2022 10:20:16",
"content": "I see",
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"timestamp": "05/02/2022 10:20:17",
"content": "Thanks",
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},
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"content": ".close",
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help-9
|
8c1d964623f0424e8a0d96c331b8915a
|
199,703 |
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"timestamp": "05/02/2022 10:28:18",
"content": "if ac=80 degrees is angle abc = half of it?",
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"timestamp": "05/02/2022 10:28:31",
"content": "which leads to x= 90-40 = 50?",
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"content": "@lirdi Has your question been resolved?",
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] |
help-9
|
38437e144b204b20acc86cac69087c14
|
199,704 |
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"timestamp": "05/02/2022 10:46:45",
"content": "✅",
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"author_name": "lirdi",
"timestamp": "05/02/2022 10:46:50",
"content": "@Helpers",
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"author_name": "kinglacto",
"timestamp": "05/02/2022 11:01:15",
"content": "ac? thats a line segment",
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"author_name": "Mathematics Bot",
"timestamp": "05/02/2022 11:06:15",
"content": "@lirdi Has your question been resolved?",
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"timestamp": "05/02/2022 11:16:19",
"content": "@lirdi ac is a line segment. did you mean angle acb?",
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"author_name": "¯\\_(ツ)_/¯",
"timestamp": "05/02/2022 11:18:17",
"content": "post the full question clearly",
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"author_id": 805217272087838700,
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"timestamp": "05/02/2022 11:21:15",
"content": "Channel closed",
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}
] |
help-9
|
e5a4e72c32a245a3a668b29bf2fd724a
|
199,705 |
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/02/2022 11:22:17",
"content": "Available help channel!",
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"timestamp": "05/02/2022 11:23:11",
"content": "Pinned a message.",
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"timestamp": "05/02/2022 11:24:03",
"content": "multiply both sides by 4",
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"timestamp": "05/02/2022 11:24:11",
"content": "x will be 9 * 4",
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"timestamp": "05/02/2022 11:24:17",
"content": "Ye",
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"content": "Put on another side",
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"timestamp": "05/02/2022 11:24:27",
"content": "just move the 4 in the deno to the opposite side",
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"id": 970707367480148000,
"author_id": 879308607492075500,
"author_name": "Nepal",
"timestamp": "05/02/2022 11:24:31",
"content": "With sign changed",
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"id": 970707466188914700,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/02/2022 11:24:54",
"content": "sign changed?",
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"timestamp": "05/02/2022 11:25:42",
"content": "he means its division, then make it multiplication",
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"content": "simple lol",
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"timestamp": "05/02/2022 11:26:36",
"content": "so uh 9x4",
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"author_name": "Todoroki",
"timestamp": "05/02/2022 11:26:41",
"content": "then divide by 9?",
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"author_id": 257608092609544200,
"author_name": "Cold",
"timestamp": "05/02/2022 11:27:05",
"content": "You just want to get x on its own",
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"id": 970708015651123200,
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"timestamp": "05/02/2022 11:27:05",
"content": "no",
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"author_id": 257608092609544200,
"author_name": "Cold",
"timestamp": "05/02/2022 11:27:31",
"content": "Doing what to both sides will get x by itself(as you have to do the same to both sides）",
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"timestamp": "05/02/2022 11:27:43",
"content": "only 9x4 will give you your answer. don't divide it by 9 again after doing that xD",
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"content": "Simple",
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"timestamp": "05/02/2022 11:29:57",
"content": "I have more",
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"timestamp": "05/02/2022 11:30:54",
"content": "did you try something?",
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"timestamp": "05/02/2022 11:31:06",
"content": "don’t do peoples work for them. read #rules #❓how-to-get-help",
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"author_name": "Gooaaa",
"timestamp": "05/02/2022 11:32:04",
"content": "@Todoroki did you watch YouTube videos about these stuff",
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"author_name": "Todoroki",
"timestamp": "05/02/2022 11:32:17",
"content": "bruh I don't even pay attention in class",
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"timestamp": "05/02/2022 11:32:23",
"content": "well kinda",
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"author_name": "Nepal",
"timestamp": "05/02/2022 11:33:07",
"content": "I will give you tution",
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"timestamp": "05/02/2022 11:33:21",
"content": "In discord",
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"timestamp": "05/02/2022 11:33:27",
"content": "oh",
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"author_name": "Nepal",
"timestamp": "05/02/2022 11:33:45",
"content": "You can call me too",
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"author_id": 782828375605116900,
"author_name": "Todoroki",
"timestamp": "05/02/2022 11:34:09",
"content": "as in vc?",
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"author_id": 879308607492075500,
"author_name": "Nepal",
"timestamp": "05/02/2022 11:34:47",
"content": "I have solved and send you in DM!",
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"author_name": "a disappointing son",
"timestamp": "05/02/2022 11:34:57",
"content": "are you dense in the head",
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"author_name": "a disappointing son",
"timestamp": "05/02/2022 11:35:07",
"content": "what do you not understand about this",
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"id": 970710154729373700,
"author_id": 782828375605116900,
"author_name": "Todoroki",
"timestamp": "05/02/2022 11:35:35",
"content": "he didnt solve",
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"id": 970710190657798100,
"author_id": 782828375605116900,
"author_name": "Todoroki",
"timestamp": "05/02/2022 11:35:44",
"content": "he is tellojg me steps",
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"id": 970710196676624400,
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"author_name": "Todoroki",
"timestamp": "05/02/2022 11:35:45",
"content": "telling*",
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{
"id": 970710327333376000,
"author_id": 879308607492075500,
"author_name": "Nepal",
"timestamp": "05/02/2022 11:36:16",
"content": "So can I teach him in #discussion",
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"author_name": "a disappointing son",
"timestamp": "05/02/2022 11:36:33",
"content": "no??",
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"id": 970710409470443500,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "05/02/2022 11:36:36",
"content": "R E A D",
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},
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"id": 970710431117222000,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "05/02/2022 11:36:41",
"content": "#rules #❓how-to-get-help",
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"id": 970710970236281000,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "05/02/2022 11:38:50",
"content": "in this question, there is honestly no way of giving them steps without the answer",
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"author_id": 879308607492075500,
"author_name": "Nepal",
"timestamp": "05/02/2022 11:39:45",
"content": "But there's nothing written about teachings?",
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"timestamp": "05/02/2022 11:39:58",
"content": "no bro",
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"author_name": "Todoroki",
"timestamp": "05/02/2022 11:40:07",
"content": "like he is telling my how to do it",
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"id": 970711341625122800,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "05/02/2022 11:40:18",
"content": "????",
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"id": 970711409979691000,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "05/02/2022 11:40:35",
"content": "these channels are about teaching. these channels right here. the one you’re in right now. this one. this one right here",
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},
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"id": 970711430036860900,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "05/02/2022 11:40:39",
"content": "teaching is not giving answers",
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"author_id": 879308607492075500,
"author_name": "Nepal",
"timestamp": "05/02/2022 11:40:50",
"content": "Oh oh",
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"id": 970711485342965900,
"author_id": 879308607492075500,
"author_name": "Nepal",
"timestamp": "05/02/2022 11:40:53",
"content": "I see",
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"id": 970711577605062700,
"author_id": 200013547491688450,
"author_name": "a disappointing son",
"timestamp": "05/02/2022 11:41:15",
"content": "plus, this server is about getting help, not teaching subjects that students were too lazy to pay attention to in school",
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"id": 970711636484702300,
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"author_name": "a disappointing son",
"timestamp": "05/02/2022 11:41:29",
"content": "giving steps will not help them get a fundamental understanding",
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"timestamp": "05/02/2022 11:41:34",
"content": "Lol",
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"timestamp": "05/02/2022 11:43:06",
"content": "Come on vc",
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"timestamp": "05/02/2022 11:43:13",
"content": "k",
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"timestamp": "05/02/2022 11:44:51",
"content": "First",
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"id": 970712512867749900,
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"author_name": "Nepal",
"timestamp": "05/02/2022 11:44:58",
"content": ".close channel",
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"author_name": "Nepal",
"timestamp": "05/02/2022 11:52:19",
"content": "First thing is that the 8 is common on both side so you need to put them together in denominator and you need to do 15-4 as numerator and the answer is done",
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"timestamp": "05/02/2022 11:53:41",
"content": "I get it",
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"author_name": "Nepal",
"timestamp": "05/02/2022 12:04:36",
"content": "Bruh if your problem are solved you can close channel",
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},
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"timestamp": "05/02/2022 12:09:37",
"content": "@Todoroki Has your question been resolved?",
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"timestamp": "05/02/2022 12:24:37",
"content": "Channel closed",
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}
] |
help-9
|
abdb17a4c8c74ef58d74ddd17873d4c0
|
199,706 |
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"timestamp": "05/02/2022 12:25:37",
"content": "Available help channel!",
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},
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"id": 970723248377573400,
"author_id": 264591281194401800,
"author_name": "Wayne",
"timestamp": "05/02/2022 12:27:37",
"content": "state the amplitude, period, equation of the axis, domain, and range.",
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"timestamp": "05/02/2022 12:29:47",
"content": "The range is [3, 5]",
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"timestamp": "05/02/2022 12:31:07",
"content": "The amplitude is 1",
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},
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"id": 970724314494173200,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/02/2022 12:31:51",
"content": "dont just give out answers",
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},
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"id": 970724387445678100,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/02/2022 12:32:09",
"content": "Stop giving out answers",
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"timestamp": "05/02/2022 12:32:29",
"content": "This server is about teaching, not giving out answers",
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"timestamp": "05/02/2022 12:32:36",
"content": "Ohh I see",
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"timestamp": "05/02/2022 12:42:37",
"content": "@Wayne Has your question been resolved?",
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"author_name": "Wayne",
"timestamp": "05/02/2022 12:43:02",
"content": "I just need help with the equation of axis",
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"author_name": "dldh06",
"timestamp": "05/02/2022 12:43:04",
"content": "Did you try graphing that?",
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"id": 970727156705542100,
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"author_name": "Wayne",
"timestamp": "05/02/2022 12:43:09",
"content": "yeah",
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"id": 970727194781438000,
"author_id": 264591281194401800,
"author_name": "Wayne",
"timestamp": "05/02/2022 12:43:18",
"content": "I've got everything except equation of axis",
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},
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"id": 970731883560304600,
"author_id": 264591281194401800,
"author_name": "Wayne",
"timestamp": "05/02/2022 13:01:56",
"content": ".close",
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},
{
"id": 970731885581971500,
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"author_name": "Mathematics Bot",
"timestamp": "05/02/2022 13:01:56",
"content": "Channel closed",
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}
] |
help-9
|
118cf0c7732846439dbf55ab5c53d1c4
|
199,707 |
[
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"timestamp": "05/02/2022 13:02:57",
"content": "Available help channel!",
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},
{
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"content": "Channel closed",
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}
] |
help-9
|
c5d867c7fe714f9cb8d07471dfbf9582
|
199,708 |
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"timestamp": "05/02/2022 13:26:23",
"content": "Available help channel!",
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{
"id": 970740434211057800,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "05/02/2022 13:35:55",
"content": "verify",
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"content": "Pinned a message.",
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"content": "@Kihei Has your question been resolved?",
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"timestamp": "05/02/2022 14:21:01",
"content": "@Kihei Has your question been resolved?",
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"timestamp": "05/02/2022 14:36:15",
"content": "figured it iut",
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},
{
"id": 970755623044133000,
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"timestamp": "05/02/2022 14:36:16",
"content": "Channel closed",
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}
] |
help-9
|
1234c3757d6a46c7a6a42d3533fa7601
|
199,709 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 06:47:53",
"content": "Available help channel!",
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},
{
"id": 956521827436466200,
"author_id": 880079032107032700,
"author_name": "Felicia",
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"content": "Pinned a message.",
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"id": 956522787613339800,
"author_id": 245091211486953470,
"author_name": "1345631",
"timestamp": "03/24/2022 08:00:03",
"content": "You want to approximate erf(x) with a n-degree Taylor polynomial. Thus, find the Taylor polynomial of e^(-t^2) up , integrate it. Then use the Lagrange remainder to find the degree needed for the desired accuracy. Use Desmos, Sage or MATLAB to plot the graph",
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"id": 956522988549840900,
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"author_name": "Felicia",
"timestamp": "03/24/2022 08:00:51",
"content": "How to find the n-1-degree ?",
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},
{
"id": 956525457363304400,
"author_id": 245091211486953470,
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"timestamp": "03/24/2022 08:10:40",
"content": "Use the normal Taylor series for e^(x) = 1 + x + x^2/2 + x^3/3! + ..., put x = -t^2",
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"id": 956525596299632600,
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"author_name": "Felicia",
"timestamp": "03/24/2022 08:11:13",
"content": "Thanks",
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},
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"id": 956525629564674000,
"author_id": 880079032107032700,
"author_name": "Felicia",
"timestamp": "03/24/2022 08:11:21",
"content": ".close",
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"id": 956525631150108700,
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"content": "Channel closed",
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] |
help-9
|
d5511d3ec72e4710bbaf0cf3b6278ebd
|
199,710 |
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"content": "Available help channel!",
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},
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"id": 970756820366934000,
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"author_name": "Carrot",
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"author_name": "Carrot",
"timestamp": "05/02/2022 14:41:12",
"content": "I need some help with the height of the pole",
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},
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"author_id": 724481267697188900,
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"timestamp": "05/02/2022 14:44:49",
"content": ".close",
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{
"id": 970757777230299100,
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] |
help-9
|
aef3b55287854a3fbe6455cbc2df173b
|
199,711 |
[
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"timestamp": "05/02/2022 14:51:04",
"content": "Available help channel!",
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},
{
"id": 970763299505467400,
"author_id": 748355842264531100,
"author_name": "EricW",
"timestamp": "05/02/2022 15:06:46",
"content": "say i have two different length n strings of 0's and 1's where each string has an even number of 1s. how can i show that these two strings differ in an even number of places/coordinates?",
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"content": "@EricW Has your question been resolved?",
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"author_name": "EricW",
"timestamp": "05/02/2022 15:22:22",
"content": "@Helpers",
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{
"id": 970770610894553200,
"author_id": 748355842264531100,
"author_name": "EricW",
"timestamp": "05/02/2022 15:35:49",
"content": "the setup is so simple that theres probably some simple trick/solution using arithmetic mod 2 or the XOR function or something... but it all escapes me at the moment.",
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"id": 970772610600304800,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/02/2022 15:43:46",
"content": "So yeah, take these two strings X and Y. Using addition mod 2, X+Y is the string where they have 0 if they agree, and 1 where they differ",
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"id": 970773144497438700,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "05/02/2022 15:45:53",
"content": "I'll also let f(x) be the function that reports back how many 1s are on a string, then reduces that number mod 2. It turns out to be a fact that f(X+Y) = f(X)+f(Y)",
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"timestamp": "05/02/2022 15:47:55",
"content": "@EricW \nProving that fact about f is basically your proof",
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"timestamp": "05/02/2022 16:04:24",
"content": "is this function the xor function or does it have a name or something? i appreciate the help too btw",
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"timestamp": "05/02/2022 16:08:53",
"content": ".close",
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},
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"id": 970778934113370100,
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"timestamp": "05/02/2022 16:08:54",
"content": "Channel closed",
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}
] |
help-9
|
ae11ec91d0d94ae8a6b743fecbd40177
|
199,712 |
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"timestamp": "05/02/2022 16:09:54",
"content": "Available help channel!",
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},
{
"id": 970779998195699800,
"author_id": 179587283819692030,
"author_name": "Zagros",
"timestamp": "05/02/2022 16:13:07",
"content": "hey, just left an exam and on the last problem I needed to find the inverse laplace transform of e^(-t-1)/(s+1)^2",
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"timestamp": "05/02/2022 16:13:44",
"content": "I know it's supposed to include a unit step function but I couldn't find a simple way to solve it and I'm not sure if I got it right",
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"timestamp": "05/02/2022 16:14:37",
"content": "IIRC I got like te^(-t)d(t-1) with d(t-1) being the step function",
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"timestamp": "05/02/2022 16:16:43",
"content": "For my first strategy I wanted to separate it using the partial fractions strategy, but it didn't work right with having a square on the bottom, and I haven't really done that in a while and couldn't remember if there is a workaround for that not working",
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"timestamp": "05/02/2022 16:31:43",
"content": "@Zagros Has your question been resolved?",
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"content": "@Zagros Has your question been resolved?",
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"content": "@Zagros Has your question been resolved?",
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"content": "@Zagros Has your question been resolved?",
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"timestamp": "05/03/2022 00:55:06",
"content": "@Zagros Has your question been resolved?",
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"timestamp": "05/03/2022 09:38:28",
"content": "@Zagros Has your question been resolved?",
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"author_name": "echoloid",
"timestamp": "05/03/2022 11:26:30",
"content": "I'm super happy that I finally have solved it!! Thank you for your patient support while solving @kinglacto",
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"timestamp": "05/03/2022 12:01:20",
"content": "Im glad you solved it.... I didnt really help you or show you the right approach but nice...",
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"timestamp": "05/03/2022 15:32:43",
"content": ".close",
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"timestamp": "05/03/2022 15:32:43",
"content": "Channel closed",
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}
] |
help-9
|
098ab1220af64166b67261739771be52
|
199,713 |
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"timestamp": "05/03/2022 15:33:44",
"content": "Available help channel!",
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"id": 971134098062057500,
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"content": "how do i do this part again",
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"content": "nvm ki got it",
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] |
help-9
|
13ea1d586c2b4865b116edc8e3f2b933
|
199,714 |
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"id": 971137089687158800,
"author_id": 587696976951377900,
"author_name": "eswag",
"timestamp": "05/03/2022 15:52:05",
"content": "Hello there",
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"author_name": "eswag",
"timestamp": "05/03/2022 15:52:49",
"content": "Can anyone help me derive the formula for var_emp?",
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"content": "As in Var(sample mean ^2)",
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"content": "@eswag Has your question been resolved?",
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"timestamp": "05/03/2022 16:38:03",
"content": "@eswag Has your question been resolved?",
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"timestamp": "05/03/2022 16:39:12",
"content": "is this a question in *R*?",
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"id": 971149144586588200,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/03/2022 16:39:59",
"content": "why is your first problem statement cut off?",
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"id": 971150305188266100,
"author_id": 587696976951377900,
"author_name": "eswag",
"timestamp": "05/03/2022 16:44:35",
"content": "Well",
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"author_name": "eswag",
"timestamp": "05/03/2022 16:44:43",
"content": "It’s just information regarding what the bias is",
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"id": 971150355322798100,
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"author_name": "eswag",
"timestamp": "05/03/2022 16:44:47",
"content": "So i excluded that",
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"timestamp": "05/03/2022 16:50:18",
"content": "@eswag there aren't as many Stats people on Mathematics discord server compared to other topics.\nYou are always better off including the entire problem statement, even if you think some information is repetitious or obvious.",
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"content": "Channel closed",
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help-9
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731ba1568572479cb2e1326eb852aa6e
|
199,715 |
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"content": "Available help channel!",
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"author_name": "Teal",
"timestamp": "05/03/2022 17:14:56",
"content": "how would I go about finding the answer to this? I've drawn both triangles in 2D but am not sure how to find CD",
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"id": 971160222653616300,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/03/2022 17:24:00",
"content": "understand that one right triangle in the yz-plane \nand the other is in the xz-plane",
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"id": 971160347794878500,
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"timestamp": "05/03/2022 17:24:30",
"content": "you know the angles of descent for both",
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"id": 971160541341044700,
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"timestamp": "05/03/2022 17:25:16",
"content": "meaning you know the angles of ascension at C and D",
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"timestamp": "05/03/2022 17:25:28",
"content": "both of those triangles are 50 feet high.",
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"id": 971160666377449500,
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"timestamp": "05/03/2022 17:25:46",
"content": "solve each triangle for the distances along the y and x axes.",
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"author_name": "Teal",
"timestamp": "05/03/2022 17:25:51",
"content": "do you add the adjacents of ABC and ABD together to get CD",
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"timestamp": "05/03/2022 17:26:13",
"content": "no, use Pythagorean Theorem",
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"timestamp": "05/03/2022 17:26:38",
"content": "b.c. that's another right triangle in the z-plane.",
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"timestamp": "05/03/2022 17:26:49",
"content": "aka the xy-plane",
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"timestamp": "05/03/2022 17:27:42",
"content": "did you solve for the triangle bases yet?",
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"timestamp": "05/03/2022 17:27:54",
"content": "(the distances along the y and x axes)",
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"author_name": "Teal",
"timestamp": "05/03/2022 17:28:24",
"content": "yes this is what I got",
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"timestamp": "05/03/2022 17:28:57",
"content": "ignore the top 2, part of a different question.",
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"timestamp": "05/03/2022 17:30:22",
"content": "my question is am I able to add 107.23 and 137.37 to get CD",
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"timestamp": "05/03/2022 17:30:38",
"content": "(the bases of both triangles)",
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"timestamp": "05/03/2022 17:31:22",
"content": "I don't see the pythagorean theorem there.",
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"id": 971162116868423800,
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"timestamp": "05/03/2022 17:31:31",
"content": "no, you can't just add those",
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"timestamp": "05/03/2022 17:31:35",
"content": "this is a unit on trigonometry",
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"timestamp": "05/03/2022 17:31:45",
"content": "I am aware of that",
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"id": 971162190813990900,
"author_id": 598041720583618600,
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"timestamp": "05/03/2022 17:31:49",
"content": "because of the trig.",
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"author_name": "Teal",
"timestamp": "05/03/2022 17:32:03",
"content": "yeah, we are expected to use trigonometry",
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"timestamp": "05/03/2022 17:32:33",
"content": "you *have used* trigonometry.",
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"id": 971162437946605600,
"author_id": 598041720583618600,
"author_name": "Disorganized",
"timestamp": "05/03/2022 17:32:48",
"content": "the equation relating all 3 sides of a right triangle is the pythagorean theorem.",
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"id": 971162446821740500,
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"author_name": "Disorganized",
"timestamp": "05/03/2022 17:32:50",
"content": "you need it.",
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"author_name": "Teal",
"timestamp": "05/03/2022 17:32:54",
"content": "sorry I just realised what you meant",
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"timestamp": "05/03/2022 17:32:56",
"content": "I got it now",
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"id": 971162485732286500,
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"author_name": "Teal",
"timestamp": "05/03/2022 17:32:59",
"content": "tysm",
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"id": 971162503511932900,
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"timestamp": "05/03/2022 17:33:04",
"content": "whatever man",
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},
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"timestamp": "05/03/2022 17:48:00",
"content": "@Teal Has your question been resolved?",
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"timestamp": "05/03/2022 18:03:00",
"content": "Channel closed",
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}
] |
help-9
|
73ae898533124a1587f62dcfbb64dd99
|
199,716 |
[
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"id": 971170290358968400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/03/2022 18:04:00",
"content": "Available help channel!",
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},
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"id": 971171669869744100,
"author_id": 887124266200494100,
"author_name": "jcob_the_student",
"timestamp": "05/03/2022 18:09:29",
"content": "Hi guys, basic proofs question:\n\nif you have \n${element | \\exists a \\in A \\exists b \\in B. \\phi(a, b, element)}$,\n\nyou can exchange the two foralls right? it seems you can to me currently",
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"content": "Pinned a message.",
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"id": 971171682754650200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/03/2022 18:09:32",
"content": "**jcob\\_the\\_student**",
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"id": 971174011646148600,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/03/2022 18:18:47",
"content": "$\\exists$ is \"there exists\"",
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},
{
"id": 971174020932317200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/03/2022 18:18:50",
"content": "**iCaird**",
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"id": 971174057737326700,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "05/03/2022 18:18:58",
"content": "And yes you can",
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},
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"id": 971175445565415600,
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"author_name": "Mathematics Bot",
"timestamp": "05/03/2022 18:24:29",
"content": "@jcob_the_student Has your question been resolved?",
"attachments": [],
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"timestamp": "05/03/2022 18:28:13",
"content": "ok ty :-)",
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"timestamp": "05/03/2022 18:28:20",
"content": "Channel closed",
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}
] |
help-9
|
0d9ce8f9907c45388ba1ea54550dcb95
|
199,717 |
[
{
"id": 971176462893854700,
"author_id": 887124266200494100,
"author_name": "jcob_the_student",
"timestamp": "05/03/2022 18:28:32",
"content": "oops I meant you can exchange the two exists",
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},
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"id": 971176475208343600,
"author_id": 887124266200494100,
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"timestamp": "05/03/2022 18:28:35",
"content": "🤣",
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"id": 971176536944292000,
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"author_name": "jcob_the_student",
"timestamp": "05/03/2022 18:28:49",
"content": "Can you exchange the two exists?",
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"id": 971176665654911000,
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"author_name": "Mathematics Bot",
"timestamp": "05/03/2022 18:29:20",
"content": "Available help channel!",
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"reference": null
},
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"id": 971177408763920400,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/03/2022 18:32:17",
"content": "How to know when to use \"and\" or \"or\"",
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"id": 971177411066622100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/03/2022 18:32:18",
"content": "Pinned a message.",
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{
"id": 971180955777769600,
"author_id": 759318108501573600,
"author_name": "INFINITE",
"timestamp": "05/03/2022 18:46:23",
"content": "If (x-a)(x-b) > 0, then x<a or x>b\nIf (x-a)(x-b) < 0, then a<x<b",
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"author_id": 759318108501573600,
"author_name": "INFINITE",
"timestamp": "05/03/2022 18:46:57",
"content": "@haridev",
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"id": 971181146115301400,
"author_id": 759318108501573600,
"author_name": "INFINITE",
"timestamp": "05/03/2022 18:47:08",
"content": "I suggest you to use graph sketching method",
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},
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"id": 971181357864718500,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/03/2022 18:47:59",
"content": "",
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"id": 971181407965683800,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/03/2022 18:48:11",
"content": "how is it \"or\" here",
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},
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"id": 971182854119760000,
"author_id": 759318108501573600,
"author_name": "INFINITE",
"timestamp": "05/03/2022 18:53:56",
"content": "@haridev is this quadratic",
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"id": 971182967764422700,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/03/2022 18:54:23",
"content": "yes the numerator is a quadratic",
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},
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"id": 971183009879433200,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/03/2022 18:54:33",
"content": "",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/03/2022 19:09:33",
"content": "@haridev Has your question been resolved?",
"attachments": [],
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"name": "haridev",
"discriminator": "1326",
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"id": 971194353206825000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/03/2022 19:39:37",
"content": "@haridev Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 617409173700739200,
"name": "haridev",
"discriminator": "1326",
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"id": 971209563233730600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/03/2022 20:40:04",
"content": "@haridev Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 617409173700739200,
"name": "haridev",
"discriminator": "1326",
"nickname": "haridev",
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},
{
"id": 971214073146536000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/03/2022 20:57:59",
"content": "assume t is not 1",
"attachments": [],
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},
{
"id": 971214095913201800,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/03/2022 20:58:04",
"content": "then it boils down to:",
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{
"id": 971214111843184800,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/03/2022 20:58:08",
"content": "t^2 - t - 12 < 0",
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},
{
"id": 971215741670031500,
"author_id": 617409173700739200,
"author_name": "haridev",
"timestamp": "05/03/2022 21:04:37",
"content": "then shouldn't it be \"and\"",
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},
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"id": 971224663210475500,
"author_id": 805217272087838700,
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"timestamp": "05/03/2022 21:40:04",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
7201ec50f4f14e0d84f1c5d0ccf8a99c
|
199,718 |
[
{
"id": 971224915778863200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/03/2022 21:41:04",
"content": "Available help channel!",
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},
{
"id": 971227614712848500,
"author_id": 363763501942046700,
"author_name": "Inertial Measurement Unit",
"timestamp": "05/03/2022 21:51:47",
"content": "hello",
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},
{
"id": 971227616801603600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/03/2022 21:51:48",
"content": "Pinned a message.",
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"author_id": 363763501942046700,
"author_name": "Inertial Measurement Unit",
"timestamp": "05/03/2022 21:52:48",
"content": "I need equations for rocket motion which is including all force (weather resist and thrust),",
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},
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"id": 971227897291481100,
"author_id": 363763501942046700,
"author_name": "Inertial Measurement Unit",
"timestamp": "05/03/2022 21:52:55",
"content": "where should I start",
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},
{
"id": 971228057950117900,
"author_id": 363763501942046700,
"author_name": "Inertial Measurement Unit",
"timestamp": "05/03/2022 21:53:33",
"content": "becasue it needs to be numeric solution I thoght and don't know where to start searching",
"attachments": [],
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"reference": null
},
{
"id": 971231833985527800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/03/2022 22:08:33",
"content": "@Inertial Measurement Unit Has your question been resolved?",
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"timestamp": "05/03/2022 22:38:54",
"content": "@Inertial Measurement Unit Has your question been resolved?",
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"id": 971242476281155600,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "05/03/2022 22:50:51",
"content": "Sounds like physics, there's another physics discord btw",
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"author_name": "Inertial Measurement Unit",
"timestamp": "05/03/2022 22:55:57",
"content": "thanks",
"attachments": [],
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},
{
"id": 971243998956101600,
"author_id": 260975264987611140,
"author_name": "gmod",
"timestamp": "05/03/2022 22:56:54",
"content": "@Inertial Measurement Unit fyi it's in #network",
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"id": 971244030161743900,
"author_id": 260975264987611140,
"author_name": "gmod",
"timestamp": "05/03/2022 22:57:01",
"content": "but you can ask physics based questions here too",
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},
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"id": 971244995543720000,
"author_id": 363763501942046700,
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"timestamp": "05/03/2022 23:00:51",
"content": "thank you I'll check",
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"timestamp": "05/04/2022 00:00:51",
"content": "@Inertial Measurement Unit Has your question been resolved?",
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"id": 971271431163871200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/04/2022 00:45:54",
"content": ".close",
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},
{
"id": 971271432522850300,
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"timestamp": "05/04/2022 00:45:54",
"content": "Channel closed",
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}
] |
help-9
|
7948d970d9de49b9b79510d9899a0085
|
199,719 |
[
{
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"timestamp": "05/04/2022 02:43:44",
"content": "Available help channel!",
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},
{
"id": 971302561527242800,
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"author_name": "PB",
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"content": "Pinned a message.",
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{
"id": 971302771632521200,
"author_id": 708594064060055600,
"author_name": "PB",
"timestamp": "05/04/2022 02:50:26",
"content": "i dont get the part that blue underlined",
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},
{
"id": 971303032044286000,
"author_id": 708594064060055600,
"author_name": "PB",
"timestamp": "05/04/2022 02:51:28",
"content": "can someone explain why {log_a(b)]^2 will be equals to 4/9?",
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},
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"id": 971304667546021900,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "05/04/2022 02:57:58",
"content": "@PB",
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"id": 971304700244791300,
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"timestamp": "05/04/2022 02:58:06",
"content": "Log_a (a) = 1",
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},
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"id": 971304791177302000,
"author_id": 307070375735459840,
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"timestamp": "05/04/2022 02:58:28",
"content": "Multiply both sides by log_a (b)",
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},
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"id": 971305503625990100,
"author_id": 708594064060055600,
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"timestamp": "05/04/2022 03:01:18",
"content": "i got log_a(b) * 1 = log_a(b)",
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"id": 971306092627902500,
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"timestamp": "05/04/2022 03:03:38",
"content": "Huh",
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},
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"id": 971306167160688600,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "05/04/2022 03:03:56",
"content": "The first equality says (4/9) log_a (b) = 1/log_a (b)",
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},
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"id": 971309279413948400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/04/2022 03:16:18",
"content": "@PB Has your question been resolved?",
"attachments": [],
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"timestamp": "05/04/2022 03:48:41",
"content": "@PB Has your question been resolved?",
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{
"id": 971317628071215100,
"author_id": 701077747887243400,
"author_name": "vin100",
"timestamp": "05/04/2022 03:49:28",
"content": "at the first glance, the second $\\implies$ confuse me. $x^2 = a^2 \\iff x = \\pm a$?",
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},
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"id": 971317711575589000,
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"timestamp": "05/04/2022 03:49:48",
"content": "**vin100**",
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"timestamp": "05/04/2022 04:18:41",
"content": "Channel closed",
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}
] |
help-9
|
8458573fd4414456a6ce929cfeac5426
|
199,720 |
[
{
"id": 956525886985863200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 08:12:22",
"content": "Available help channel!",
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},
{
"id": 956526940184019000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/24/2022 08:16:33",
"content": "Pinned a message.",
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"timestamp": "03/24/2022 08:18:55",
"content": ".close",
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},
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"id": 956527536739872800,
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"timestamp": "03/24/2022 08:18:56",
"content": "Channel closed",
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}
] |
help-9
|
94cf6f15d4d445f88dbec5dcabf15016
|
199,721 |
[
{
"id": 971325233594269700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/04/2022 04:19:42",
"content": "Available help channel!",
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"reference": null
},
{
"id": 971325478231232500,
"author_id": 290723508563214340,
"author_name": "Poop",
"timestamp": "05/04/2022 04:20:40",
"content": "Can someone familiar with linear homogenous recurrence relations help me understand this",
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"id": 971325480458408000,
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"timestamp": "05/04/2022 04:20:40",
"content": "Pinned a message.",
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}
},
{
"id": 971325521793273900,
"author_id": 290723508563214340,
"author_name": "Poop",
"timestamp": "05/04/2022 04:20:50",
"content": "I feel like the textbook authors made a typo",
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},
{
"id": 971325600352596000,
"author_id": 290723508563214340,
"author_name": "Poop",
"timestamp": "05/04/2022 04:21:09",
"content": "is it supposed to be r^(k-1) and r^(k-2) ???",
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},
{
"id": 971325805093335000,
"author_id": 290723508563214340,
"author_name": "Poop",
"timestamp": "05/04/2022 04:21:58",
"content": "that seems to make the most sense given the context but I don't want to assume and learn this complicated stuff the wrong way",
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},
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"id": 971326057384915000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "05/04/2022 04:22:58",
"content": "yea",
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"id": 971326068625670100,
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"author_name": "Poop",
"timestamp": "05/04/2022 04:23:01",
"content": "thanks lol",
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},
{
"id": 971326076586446800,
"author_id": 290723508563214340,
"author_name": "Poop",
"timestamp": "05/04/2022 04:23:03",
"content": "I figured",
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},
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"id": 971326118999240800,
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"author_name": "Poop",
"timestamp": "05/04/2022 04:23:13",
"content": ".close",
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},
{
"id": 971326120559513600,
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"content": "Channel closed",
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}
] |
help-9
|
550f145665084173971a8597715dad03
|
199,722 |
[
{
"id": 971328004166934500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/04/2022 04:30:42",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 971328555818582000,
"author_id": 874586130220195800,
"author_name": "Calecoo",
"timestamp": "05/04/2022 04:32:54",
"content": "if i know that one of a and b is a natural number, how do i prove that the other one is a natural number as well?",
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"content": "Pinned a message.",
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"timestamp": "05/04/2022 04:47:54",
"content": "@Calecoo Has your question been resolved?",
"attachments": [],
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"id": 971332523869237200,
"author_id": 874586130220195800,
"author_name": "Calecoo",
"timestamp": "05/04/2022 04:48:40",
"content": "@Helpers",
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},
{
"id": 971334507414294500,
"author_id": 874586130220195800,
"author_name": "Calecoo",
"timestamp": "05/04/2022 04:56:33",
"content": "nobody?",
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},
{
"id": 971342058159747100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/04/2022 05:26:33",
"content": "@Calecoo Has your question been resolved?",
"attachments": [],
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"name": "Calecoo",
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},
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"id": 971347172673073300,
"author_id": 424654701909377000,
"author_name": "Spreeter",
"timestamp": "05/04/2022 05:46:52",
"content": "how did u try?",
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},
{
"id": 971348059407663100,
"author_id": 424654701909377000,
"author_name": "Spreeter",
"timestamp": "05/04/2022 05:50:24",
"content": "@Calecoo",
"attachments": [],
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"name": "Calecoo",
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},
{
"id": 971357376055750800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/04/2022 06:27:25",
"content": "@Calecoo Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 874586130220195800,
"name": "Calecoo",
"discriminator": "1797",
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},
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"id": 971366065961599000,
"author_id": 874586130220195800,
"author_name": "Calecoo",
"timestamp": "05/04/2022 07:01:57",
"content": "With last digits but it leads to nothing",
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"id": 971368233523368100,
"author_id": 424654701909377000,
"author_name": "Spreeter",
"timestamp": "05/04/2022 07:10:34",
"content": "why not, it seems useful to me",
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},
{
"id": 971368570325966800,
"author_id": 424654701909377000,
"author_name": "Spreeter",
"timestamp": "05/04/2022 07:11:54",
"content": "its either 2-3 or 8-7",
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},
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"id": 971368665742188500,
"author_id": 424654701909377000,
"author_name": "Spreeter",
"timestamp": "05/04/2022 07:12:17",
"content": "dont say that its nothing",
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},
{
"id": 971369603601150000,
"author_id": 620306029212598300,
"author_name": "Takumi",
"timestamp": "05/04/2022 07:16:00",
"content": "Wlog assume a is an integer",
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},
{
"id": 971369967343788000,
"author_id": 620306029212598300,
"author_name": "Takumi",
"timestamp": "05/04/2022 07:17:27",
"content": "Then $x\\cdot 2 ^{2n+1} \\equiv -y \\cdot 3^{2n+1}$",
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},
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"id": 971369976403488900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/04/2022 07:17:29",
"content": "**Takumi**",
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"id": 971370008741576700,
"author_id": 620306029212598300,
"author_name": "Takumi",
"timestamp": "05/04/2022 07:17:37",
"content": "Mod 5",
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"id": 971370648159014900,
"author_id": 620306029212598300,
"author_name": "Takumi",
"timestamp": "05/04/2022 07:20:09",
"content": "And $-3^{2n+1} \\equiv -(-2)^{2n+1} \\equiv -(-1)^{2n+1}(2)^{2n+1} \\equiv 2^{2n+1} \\pmod{5}$",
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},
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"id": 971370659190030300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/04/2022 07:20:12",
"content": "**Takumi**",
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"id": 971370986597404700,
"author_id": 620306029212598300,
"author_name": "Takumi",
"timestamp": "05/04/2022 07:21:30",
"content": "So $2^{2n+1}x\\equiv 2^{2n+1} y \\pmod{5}$",
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},
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"id": 971370996315619300,
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"author_name": "TeXit",
"timestamp": "05/04/2022 07:21:32",
"content": "**Takumi**",
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"id": 971371193670180900,
"author_id": 620306029212598300,
"author_name": "Takumi",
"timestamp": "05/04/2022 07:22:19",
"content": "But since 5 and 2 are relatively prime, we have $x\\equiv y \\pmod{5}$",
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"id": 971371203803611100,
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"author_name": "TeXit",
"timestamp": "05/04/2022 07:22:22",
"content": "**Takumi**",
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"id": 971371934619168800,
"author_id": 620306029212598300,
"author_name": "Takumi",
"timestamp": "05/04/2022 07:25:16",
"content": "So $2^{2n+1}y+3^{2n+1}x \\equiv x(2^{2n+1}+3^{2n+1})\\pmod{5}$",
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},
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"id": 971371944677089400,
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"author_name": "TeXit",
"timestamp": "05/04/2022 07:25:18",
"content": "**Takumi**",
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"id": 971372168761991300,
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"author_name": "Takumi",
"timestamp": "05/04/2022 07:26:12",
"content": "And you just plug in $3 \\equiv -2 \\pmod{5}$ to see that it will also be a multiple of 5",
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},
{
"id": 971372182158581900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/04/2022 07:26:15",
"content": "**Takumi**",
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"timestamp": "05/04/2022 09:01:57",
"content": "@Calecoo Has your question been resolved?",
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"timestamp": "05/04/2022 09:02:05",
"content": "Channel closed",
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}
] |
help-9
|
37e7b94af953417cb7db89d77d60a065
|
199,723 |
[
{
"id": 971396551220011000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/04/2022 09:03:05",
"content": "Available help channel!",
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},
{
"id": 971397360892661900,
"author_id": 248861913570738180,
"author_name": "99",
"timestamp": "05/04/2022 09:06:18",
"content": "In a 52-card French card deck, there are 4 symbols (heart, diamond, spade, club) and 13 figures (2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A). How many ways can you select 5 cards so that the order does not matter and\na. no two figures are alike\nb. there are exactly two identical figures\nc. there are exactly two pairs of identical figures\nd. there are exactly three identical figures\ne. there are three pieces from one figure and two pieces from another\nf. there are four of one figure\ng. the figures are next to each other in a row, but their color does not matter\nh. the figures are in a row next to each other amd their colors are the same",
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"id": 971397363363090400,
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"timestamp": "05/04/2022 09:06:19",
"content": "Pinned a message.",
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{
"id": 971397480933650600,
"author_id": 248861913570738180,
"author_name": "99",
"timestamp": "05/04/2022 09:06:47",
"content": "im stuck from question b",
"attachments": [],
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},
{
"id": 971398315373658200,
"author_id": 378565138711838700,
"author_name": "Hermit",
"timestamp": "05/04/2022 09:10:06",
"content": "all of these conditions at the same time?",
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},
{
"id": 971398390267129900,
"author_id": 248861913570738180,
"author_name": "99",
"timestamp": "05/04/2022 09:10:23",
"content": "no, all separately",
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},
{
"id": 971398409175064600,
"author_id": 378565138711838700,
"author_name": "Hermit",
"timestamp": "05/04/2022 09:10:28",
"content": "alright",
"attachments": [],
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},
{
"id": 971398536547696600,
"author_id": 378565138711838700,
"author_name": "Hermit",
"timestamp": "05/04/2022 09:10:58",
"content": "in a , when they say that 2 figures are alike what does that mean??",
"attachments": [],
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"reference": null
},
{
"id": 971398613378957300,
"author_id": 378565138711838700,
"author_name": "Hermit",
"timestamp": "05/04/2022 09:11:17",
"content": "that no 2 figures are alike sry",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 971398704202387600,
"author_id": 378565138711838700,
"author_name": "Hermit",
"timestamp": "05/04/2022 09:11:38",
"content": "that a figure can't be selected 2 times right?",
"attachments": [],
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"reference": null
},
{
"id": 971398770149433300,
"author_id": 248861913570738180,
"author_name": "99",
"timestamp": "05/04/2022 09:11:54",
"content": "well a french card deck has 13 figures and the 5 cards have to all be different figures",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 971399100144713700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "05/04/2022 09:13:13",
"content": "is english not your native language?",
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"reference": null
},
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"timestamp": "05/04/2022 09:13:16",
"content": "nope",
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"author_name": "Ann",
"timestamp": "05/04/2022 09:13:28",
"content": "in english we call spades, hearts, diamonds and clubs _suits_ and 2-10, J, Q, K, A _ranks_",
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"timestamp": "05/04/2022 09:13:32",
"content": "i translated it as well as i could",
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"timestamp": "05/04/2022 09:13:42",
"content": "ah yeah suits sorry",
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"author_name": "Ann",
"timestamp": "05/04/2022 09:13:58",
"content": "it sounds like youre trying to calculate some probabilities for poker combinations",
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"author_name": "Hermit",
"timestamp": "05/04/2022 09:14:01",
"content": "what do you think is the probability of getting/selecting a card?",
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"timestamp": "05/04/2022 09:14:13",
"content": "exactly",
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"timestamp": "05/04/2022 09:14:43",
"content": "well ok not probabilities but number of ways",
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"timestamp": "05/04/2022 09:14:52",
"content": "from which you'd get the probabilities by dividing by C(52,5)",
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"timestamp": "05/04/2022 09:15:36",
"content": "this is fairly straightforward combinatorics otherwise\nfor example:\nfor part (a), we want no two cards to have the same rank (which would include both high-card and straight hands, in poker terms. and even flushes and straight flushes)",
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"timestamp": "05/04/2022 09:15:54",
"content": "there are C(13,5) ways to pick _which_ ranks appear in your hand, and for each rank there are 4 ways to pick its suit",
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"timestamp": "05/04/2022 09:16:02",
"content": "so C(13,5) * 4 * 4 * 4 * 4 * 4",
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"timestamp": "05/04/2022 09:17:54",
"content": "similar calculations with varying degrees of annoyingness can be made for the other parts",
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"author_name": "Hermit",
"timestamp": "05/04/2022 09:19:16",
"content": "we don't want the 2 cards to be the same , I don't think that rank matters , for example you could have 2 kings ,one of clubs and ome of diamonds",
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"timestamp": "05/04/2022 09:19:28",
"content": "no",
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"author_name": "Hermit",
"timestamp": "05/04/2022 09:19:44",
"content": "ah alright",
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"id": 971400745867960300,
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"author_name": "Ann",
"timestamp": "05/04/2022 09:19:45",
"content": "we want the _ranks_ to be different",
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"id": 971400754747306000,
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"author_name": "Ann",
"timestamp": "05/04/2022 09:19:47",
"content": "we can't have two kings",
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"timestamp": "05/04/2022 09:19:52",
"content": "that'd make a pair",
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"author_name": "Hermit",
"timestamp": "05/04/2022 09:19:57",
"content": "aight got it",
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"timestamp": "05/04/2022 09:20:53",
"content": "ohh i see",
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"timestamp": "05/04/2022 09:21:27",
"content": "this is how we did question b in school",
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"timestamp": "05/04/2022 09:23:08",
"content": "so in the second half its 48 instead of 52 because the first one is 4 and 52-4=48",
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"timestamp": "05/04/2022 09:23:25",
"content": "and we multiply by 13 because there are 13 ranks",
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"timestamp": "05/04/2022 09:28:32",
"content": "but what i dont understand is why its C(4,2) in the first one",
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"id": 971402984770641900,
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"timestamp": "05/04/2022 09:28:39",
"content": "why 4",
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"author_name": "Hermit",
"timestamp": "05/04/2022 09:29:13",
"content": "when picking the first card , you have 53 cards, therefore 53 ways\nlet's say that the second card has the same number or rank as the first , there are only 3 more cards that have the same rank so there are 3 ways it can go from there\nthen you have 49 ways because you can't pick a card of the same rank of the first 2 , so we throw 2 cards in the bin, and you have already used 2 cards , so that makes it 4 cards\nafter that you use up a card each time you select,\nso it becomes 48 ways then 47 ways ,\ntherefore becoming 53x3x49x48x47",
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"timestamp": "05/04/2022 09:29:48",
"content": "So 17,576,496",
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"author_name": "Hermit",
"timestamp": "05/04/2022 09:30:08",
"content": "that's the answer I could come up with Idk",
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"author_name": "Hermit",
"timestamp": "05/04/2022 09:30:20",
"content": "cuz there are 4 cards that share the same rank",
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"id": 971403470684950500,
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"timestamp": "05/04/2022 09:30:35",
"content": "ohhhh",
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"id": 971403509985574900,
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"author_name": "99",
"timestamp": "05/04/2022 09:30:44",
"content": "im dumb i see now",
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"id": 971403570450665500,
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"author_name": "99",
"timestamp": "05/04/2022 09:30:59",
"content": "its so hard to visualize this",
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"id": 971403591141187600,
"author_id": 248861913570738180,
"author_name": "99",
"timestamp": "05/04/2022 09:31:03",
"content": "i keep getting lost",
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},
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"author_id": 378565138711838700,
"author_name": "Hermit",
"timestamp": "05/04/2022 09:31:51",
"content": "I think it should be (49,3) though",
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"id": 971403841457246200,
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"timestamp": "05/04/2022 09:32:03",
"content": "there are 52 cards , not 53",
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"author_name": "Hermit",
"timestamp": "05/04/2022 09:32:08",
"content": "ohhhh",
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"id": 971403889343623200,
"author_id": 378565138711838700,
"author_name": "Hermit",
"timestamp": "05/04/2022 09:32:15",
"content": "then yeah it's correct",
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"author_name": "Hermit",
"timestamp": "05/04/2022 09:32:19",
"content": "I thought it was 53",
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"author_name": "Hermit",
"timestamp": "05/04/2022 09:33:23",
"content": "everything else should be easy by using the same logic",
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"id": 971404215874363400,
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"author_name": "Hermit",
"timestamp": "05/04/2022 09:33:32",
"content": "good luck",
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"id": 971404544774922400,
"author_id": 248861913570738180,
"author_name": "99",
"timestamp": "05/04/2022 09:34:51",
"content": "yeah it seems to be the same just more annoying",
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"id": 971404566065205200,
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"timestamp": "05/04/2022 09:34:56",
"content": "thank you",
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"id": 971404670377525200,
"author_id": 248861913570738180,
"author_name": "99",
"timestamp": "05/04/2022 09:35:21",
"content": ".close",
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},
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"id": 971404671942025200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/04/2022 09:35:21",
"content": "Channel closed",
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}
] |
help-9
|
85f654a1b2d54b3589fcb15f080f9c37
|
199,724 |
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"id": 971404925689036800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/04/2022 09:36:22",
"content": "Available help channel!",
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},
{
"id": 971405524857942000,
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"timestamp": "05/04/2022 09:38:45",
"content": "Pinned a message.",
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"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:38:56",
"content": "I don't know how to solve this question",
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{
"id": 971405627022770200,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:39:09",
"content": "test?",
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},
{
"id": 971405708866224300,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:39:28",
"content": "No ..homwork",
"attachments": [],
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},
{
"id": 971405745864208400,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:39:37",
"content": "ok",
"attachments": [],
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},
{
"id": 971405768110776300,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:39:42",
"content": "did you try?",
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},
{
"id": 971405799945568300,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:39:50",
"content": "Yup",
"attachments": [],
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},
{
"id": 971405837690101900,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:39:59",
"content": "But i am stuck",
"attachments": [],
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},
{
"id": 971405841708236800,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:40:00",
"content": "what?",
"attachments": [],
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},
{
"id": 971405866576277500,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:40:06",
"content": "mhm",
"attachments": [],
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},
{
"id": 971405878420983800,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:40:09",
"content": "send",
"attachments": [],
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},
{
"id": 971405951611584500,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:40:26",
"content": "One min",
"attachments": [],
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},
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"id": 971406450888962200,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:42:25",
"content": "okay great",
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"author_name": "Sabertoothed Rat",
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"id": 971406669185704000,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:43:17",
"content": "you know this?",
"attachments": [],
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},
{
"id": 971406689712603100,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:43:22",
"content": "",
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"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:43:35",
"content": "Yup",
"attachments": [],
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},
{
"id": 971406784994627700,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:43:45",
"content": "I know it",
"attachments": [],
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"reference": null
},
{
"id": 971406817940897900,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:43:53",
"content": "okay",
"attachments": [],
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},
{
"id": 971406839742873600,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:43:58",
"content": "so",
"attachments": [],
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},
{
"id": 971406912379846700,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:44:15",
"content": "sec^2(x)-tan^2(x)=1",
"attachments": [],
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},
{
"id": 971406921317892100,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:44:17",
"content": "right?",
"attachments": [],
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},
{
"id": 971406984555405300,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:44:32",
"content": "Yup",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 971407101224161300,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:45:00",
"content": "so what do you think sec x + tan x is equal to?",
"attachments": [],
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},
{
"id": 971407223941120000,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:45:30",
"content": "So that is the problem i don't know",
"attachments": [],
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},
{
"id": 971407284431360100,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:45:44",
"content": "a^2-b^2=?",
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"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:46:33",
"content": "(a-b)(a+b)",
"attachments": [],
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},
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"id": 971407571074310100,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:46:52",
"content": "dont you think it will be useful here?",
"attachments": [],
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},
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"id": 971407752796725200,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:47:36",
"content": "I will try .. one min",
"attachments": [],
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},
{
"id": 971407786359525400,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:47:44",
"content": "yes pls",
"attachments": [],
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},
{
"id": 971408166808080400,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:49:14",
"content": "",
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"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:49:40",
"content": "so what is sec x + tan x?",
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},
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"id": 971408342100607000,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:49:56",
"content": "9/2",
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},
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"id": 971408371477512200,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:50:03",
"content": "good",
"attachments": [],
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},
{
"id": 971408433960071300,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:50:18",
"content": "so now you have sec x - tan x and sec x + tan x",
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},
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"id": 971408476712599700,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:50:28",
"content": "don't you think its a cake walk now?",
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},
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"id": 971408645910839400,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:51:09",
"content": "So 2 sec = 4.722222",
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},
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"id": 971408689741299800,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:51:19",
"content": "ig",
"attachments": [],
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},
{
"id": 971408755776438300,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:51:35",
"content": "and subtract to have tan",
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},
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"id": 971408874919833600,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:52:03",
"content": "So sec = 85 /36",
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},
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"id": 971408932830597100,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:52:17",
"content": "Right?",
"attachments": [],
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},
{
"id": 971408992490365000,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:52:31",
"content": "i havent done any calculations",
"attachments": [],
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},
{
"id": 971409086493122600,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:52:54",
"content": "i hope you can rely on yourself for calc part",
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},
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"id": 971409119615533000,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:53:02",
"content": "Ok",
"attachments": [],
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"reference": null
},
{
"id": 971409176284770300,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:53:15",
"content": "So what next i should do",
"attachments": [],
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},
{
"id": 971409259885625300,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:53:35",
"content": "Oh",
"attachments": [],
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},
{
"id": 971409278130880500,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:53:39",
"content": "I get it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 971409300159336400,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:53:45",
"content": "great",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 971409322645000200,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:53:50",
"content": "Thx",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 971409369365352600,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:54:01",
"content": "😍",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 971409463162581000,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:54:23",
"content": "U are so good",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 971409489368588300,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:54:30",
"content": "thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 971409509304135800,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:54:34",
"content": "has been my pleasure",
"attachments": [],
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"reference": null
},
{
"id": 971409555143655400,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:54:45",
"content": "you can close if you are done",
"attachments": [],
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},
{
"id": 971409582943502300,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:54:52",
"content": "Ok",
"attachments": [],
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},
{
"id": 971409639247868000,
"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:55:05",
"content": "How",
"attachments": [],
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},
{
"id": 971409674698121200,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:55:14",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 971409676229046400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/04/2022 09:55:14",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
0ee4b6d5b7ad444f9a465e93af771a3e
|
199,725 |
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{
"id": 971409699650027600,
"author_id": 757890033238671400,
"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:55:20",
"content": "like this",
"attachments": [],
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},
{
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"author_id": 846759151114780700,
"author_name": "leO'steveee",
"timestamp": "05/04/2022 09:55:49",
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"author_name": "Sabertoothed Rat",
"timestamp": "05/04/2022 09:56:03",
"content": "chill now its closed",
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},
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"id": 971409921914585100,
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"timestamp": "05/04/2022 09:56:13",
"content": "Ok",
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},
{
"id": 971413577799966700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/04/2022 10:10:44",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 971416133641056400,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/04/2022 10:20:54",
"content": "The volume enclosed by the surface x=acos^3(u), y=asin^3(u), z=v (0<=u<=pi, v>=0) and the planes z=0 and x+ y +z=a.",
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"id": 971416135650123800,
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"author_name": "Mathematics Bot",
"timestamp": "05/04/2022 10:20:54",
"content": "Pinned a message.",
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"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/04/2022 10:21:31",
"content": "(x,y,z) is a 3 dimensional astroid I think",
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},
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"author_name": "Gooaaa",
"timestamp": "05/04/2022 10:22:01",
"content": "",
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"author_name": "Gooaaa",
"timestamp": "05/04/2022 10:22:06",
"content": "this but imagine 3d",
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},
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"id": 971416635216887900,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/04/2022 10:22:53",
"content": "since v=z and v>=0 we're not interested at the volume under the z-axis",
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},
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"id": 971416744751165400,
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"author_name": "Gooaaa",
"timestamp": "05/04/2022 10:23:19",
"content": "and i think x+y+z=a goes through",
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},
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"id": 971416921088094200,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/04/2022 10:24:02",
"content": "let me paint",
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},
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"id": 971417390158053400,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/04/2022 10:25:53",
"content": "",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/971417389579247676/6955542583_51b67bfee0_b.jpg",
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"id": 971417538246348800,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/04/2022 10:26:29",
"content": "I think I have to use this formula",
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},
{
"id": 971417710523207700,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/04/2022 10:27:10",
"content": "$\\int_{a}^{b}dx \\int_{0}^{f(x)}dy$",
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},
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"id": 971417724263747600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/04/2022 10:27:13",
"content": "**Hyperborean \"Fractalogist\" Tbh**",
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"id": 971418293829255200,
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"author_name": "Gooaaa",
"timestamp": "05/04/2022 10:29:29",
"content": "with x\n$$x=a*cos^3(u)$$\nwith dx\n$$-3a*cos²(u)sin(u)du$$\nand f(x)\n$$y=a*sin^3u$$",
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"author_name": "TeXit",
"timestamp": "05/04/2022 10:30:16",
"content": "**Hyperborean \"Fractalogist\" Tbh**",
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"id": 971418646607962200,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/04/2022 10:30:53",
"content": "now i need to find a and b",
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},
{
"id": 971418724693327900,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/04/2022 10:31:12",
"content": "will a the lower boundary be zero?",
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},
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"id": 971418823892816000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/04/2022 10:31:35",
"content": "how can i find b",
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},
{
"id": 971418908324134900,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/04/2022 10:31:55",
"content": "do i have to plug in (x,y,z) into x+y+z=a and solve for u?",
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{
"id": 971419010535157800,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/04/2022 10:32:20",
"content": "or for v?",
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},
{
"id": 971420442931912700,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/04/2022 10:38:01",
"content": "@Helpers",
"attachments": [],
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},
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"id": 971424218975711200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/04/2022 10:53:01",
"content": "@Gooaaa Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "05/04/2022 11:23:07",
"content": "@Gooaaa Has your question been resolved?",
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"id": 971437093932912800,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/04/2022 11:44:11",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 971441723580485600,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/04/2022 12:02:35",
"content": "https://tenor.com/view/grandma-84years-waiting-titanic-rose-dewitt-bukater-gif-5132563",
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"reference": null
},
{
"id": 971453903952568300,
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"author_name": "leO'steveee",
"timestamp": "05/04/2022 12:50:59",
"content": "Ok chill .",
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"author_name": "Mathematics Bot",
"timestamp": "05/04/2022 13:48:49",
"content": "@Gooaaa Has your question been resolved?",
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},
{
"id": 971484888375111800,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "05/04/2022 14:54:06",
"content": "@Gooaaa I can't help you with this but you might have more luck in #multivariable-calculus",
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"id": 971485022563487700,
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"author_name": "Gooaaa",
"timestamp": "05/04/2022 14:54:38",
"content": "maybe maybe not posted there sometimes too also no answers",
"attachments": [],
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},
{
"id": 971489248584802400,
"author_id": 351467514095468540,
"author_name": "Zodex",
"timestamp": "05/04/2022 15:11:26",
"content": "I don't think I know the solution to your problem but I'm curious as to what this means",
"attachments": [],
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},
{
"id": 971489479720308700,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/04/2022 15:12:21",
"content": "in that picture u see x=a cos^3(u), y=a sin^3(u), which is called an astroid",
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},
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"author_name": "Gooaaa",
"timestamp": "05/04/2022 15:12:39",
"content": "mine has an z=v extra which makes it three dimensional",
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},
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"id": 971490705455333400,
"author_id": 351467514095468540,
"author_name": "Zodex",
"timestamp": "05/04/2022 15:17:13",
"content": "Oh I see, I get how the astroid shape popped up but why would z=v not be a plane? is v related to the astroid?",
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},
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"timestamp": "05/04/2022 15:17:28",
"content": "yes",
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"timestamp": "05/04/2022 15:17:39",
"content": "I think z=v is the height",
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"timestamp": "05/04/2022 15:17:52",
"content": "let's say that picture is in xy-plane",
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"timestamp": "05/04/2022 15:17:59",
"content": "and z=v would be the height",
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"timestamp": "05/04/2022 15:19:16",
"content": "",
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"timestamp": "05/04/2022 15:25:17",
"content": "I think z component here is not z=v, but something similar like x or y",
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"author_name": "Gooaaa",
"timestamp": "05/04/2022 15:25:52",
"content": "can't find a picture of my described astroid",
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"timestamp": "05/04/2022 17:25:52",
"content": "@Gooaaa Has your question been resolved?",
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"author_name": "Zodex",
"timestamp": "05/04/2022 18:40:02",
"content": "Oh wait",
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"author_name": "Zodex",
"timestamp": "05/04/2022 18:40:27",
"content": "so its just like the astroid extruded through the z axis upwards?",
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"author_name": "Zodex",
"timestamp": "05/04/2022 18:53:14",
"content": "Ok so basically this is correct, it bisects the astroid at the middle of the height of its intersection, across the entire intersection it cuts it in half diagnoally",
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"author_name": "Zodex",
"timestamp": "05/04/2022 18:54:21",
"content": "I plotted it in geogebra to make it clearer",
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"id": 971545394406379500,
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"author_name": "Zodex",
"timestamp": "05/04/2022 18:54:32",
"content": "https://imgur.com/a/3QvriL7",
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"author_id": 351467514095468540,
"author_name": "Zodex",
"timestamp": "05/04/2022 18:55:43",
"content": "Its as if there is an astroid prism which the x+y+z=a plane is cutting in half",
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"timestamp": "05/04/2022 19:02:09",
"content": "the height of that prism is 2a, the area of the astroid is 3πa²/8, so the volume of the prism is 6πa²/8, and the volume below x+y+z=a (aka after cutting in half) is 3πa³/8",
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"timestamp": "05/04/2022 19:03:56",
"content": "I know this doesn't solve your question and all of what I said still needs to be proved but I'm hoping it could help",
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"timestamp": "05/04/2022 21:47:39",
"content": "@Gooaaa Has your question been resolved?",
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"author_name": "Gooaaa",
"timestamp": "05/05/2022 00:25:47",
"content": "mhh so I can find the volume by just doing area integral then multiplying by the height?",
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"timestamp": "05/05/2022 00:26:22",
"content": "thx I'll try that when I can",
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"timestamp": "05/05/2022 02:28:22",
"content": "Would this the area integral be",
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"author_name": "Gooaaa",
"timestamp": "05/05/2022 02:30:19",
"content": "$\\int_{0}^{a}a *cos^3(u)*-3a * cos^2(u)sin(u)du$",
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"id": 971660202900353000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/05/2022 02:30:44",
"content": "**Triangular Hebesphenorotunda**",
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"author_name": "Gooaaa",
"timestamp": "05/05/2022 02:31:40",
"content": "multiplied by 4 then height then divided by two?",
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"author_name": "Gooaaa",
"timestamp": "05/05/2022 02:34:03",
"content": "it's been like years since I have done area integrals 😂",
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"author_name": "Zodex",
"timestamp": "05/05/2022 03:12:36",
"content": "I think it should be sin³(u) over cos³(u)",
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"author_name": "Zodex",
"timestamp": "05/05/2022 03:12:58",
"content": "∫y(u)x′(u)du",
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"id": 971670985671594000,
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"author_name": "Zodex",
"timestamp": "05/05/2022 03:13:35",
"content": "$\\int_{0}^{2π}a*sin^3(u)*(-3a) * cos^2(u)sin(u)du$",
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"id": 971671174813728800,
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"author_name": "TeXit",
"timestamp": "05/05/2022 03:14:20",
"content": "**Zodex**",
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"timestamp": "05/05/2022 03:16:48",
"content": "If you go 0 to 2π you get the whole area from the first go, then you multiply by height and divide by 2",
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"id": 971671871919632500,
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"author_name": "Zodex",
"timestamp": "05/05/2022 03:17:07",
"content": "wow years, what have you been doing instead?",
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"id": 971672750513066000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/05/2022 03:20:36",
"content": "Calc 3",
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"id": 971672909116506100,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/05/2022 03:21:14",
"content": "let me see",
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},
{
"id": 971673049013313500,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/05/2022 03:21:47",
"content": ",w integral of a*sin^3(u)*(-3a)*cos^2(u)sin(u)du from 0 to 2pi",
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},
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"id": 971673059096428500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/05/2022 03:21:50",
"content": "Results provided by WolframAlpha",
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},
{
"id": 971673142902796300,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/05/2022 03:22:10",
"content": "negative :D",
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},
{
"id": 971673272552919000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "05/05/2022 03:22:40",
"content": "oof",
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"id": 971673401703927800,
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"author_name": "Gooaaa",
"timestamp": "05/05/2022 03:23:11",
"content": "",
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"timestamp": "05/05/2022 03:23:15",
"content": "it must be c)",
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"timestamp": "05/05/2022 03:45:35",
"content": "ok yeah sorry I have no idea",
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"timestamp": "05/05/2022 07:25:36",
"content": "thxxx ill close it",
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"id": 971734414121906200,
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"timestamp": "05/05/2022 07:25:38",
"content": ".close",
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"timestamp": "05/05/2022 07:25:38",
"content": "Channel closed",
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}
] |
help-9
|
fd8862f3d4614d309e8ea584b7e3dfaf
|
199,726 |
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"timestamp": "05/05/2022 07:26:38",
"content": "Available help channel!",
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"id": 971737747696021500,
"author_id": 816612288165314600,
"author_name": "IS",
"timestamp": "05/05/2022 07:38:53",
"content": "Find the equation of the ellipse whose foci are (2,3),(-2,3) and whose semi major axis is sqrt5.",
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"timestamp": "05/05/2022 07:39:39",
"content": "This is my solution",
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"content": "In the answer key, ||it's y-3 instead of y+3||",
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"timestamp": "05/05/2022 07:40:41",
"content": "Unable to figure out what's going wrong, need help",
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"content": "@IS Has your question been resolved?",
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"content": "@IS Has your question been resolved?",
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"timestamp": "05/05/2022 08:47:13",
"content": "How did you get b=√5?",
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"timestamp": "05/05/2022 08:47:32",
"content": "and how did you find the eccentricity?",
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"id": 971755163222147100,
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"timestamp": "05/05/2022 08:48:05",
"content": "Given in question",
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"timestamp": "05/05/2022 08:48:44",
"content": "I didn't found eccentricity, I put the value of ae",
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"content": "Why couldn't the semi-major axis be a?",
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"content": "@IS Has your question been resolved?",
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"timestamp": "05/05/2022 10:48:44",
"content": "Channel closed",
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}
] |
help-9
|
8c893ff21d5c4be98dc6541cd96f0447
|
199,727 |
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"id": 971788776265359400,
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"content": "Can I get help with some of my answers checked",
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}
] |
help-9
|
48621a8ca5c64bf686043c95004d4d74
|
199,728 |
[
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"timestamp": "05/05/2022 11:33:54",
"content": "Available help channel!",
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},
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"id": 971797353449291800,
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"content": "Pinned a message.",
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"timestamp": "05/05/2022 11:35:53",
"content": "Guys help me pls",
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},
{
"id": 971797421107593200,
"author_id": 645630763840045000,
"author_name": "quag.mih",
"timestamp": "05/05/2022 11:36:00",
"content": "🙏",
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},
{
"id": 971797441596776600,
"author_id": 952007031353659500,
"author_name": "kuroh!",
"timestamp": "05/05/2022 11:36:05",
"content": "whata that say",
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},
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"id": 971797497926283300,
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"timestamp": "05/05/2022 11:36:18",
"content": "Prove",
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},
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"id": 971797552578044000,
"author_id": 952007031353659500,
"author_name": "kuroh!",
"timestamp": "05/05/2022 11:36:31",
"content": "i cant see what it saya",
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},
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"id": 971797646169768100,
"author_id": 510789298321096700,
"author_name": "TeXit",
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{
"id": 971797889670062200,
"author_id": 235369247323193340,
"author_name": "DETOX",
"timestamp": "05/05/2022 11:37:52",
"content": "$0<x,y,z<\\pi$",
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},
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"id": 971797893990215700,
"author_id": 645630763840045000,
"author_name": "quag.mih",
"timestamp": "05/05/2022 11:37:53",
"content": "sinx+siny+sinz<=3sin(x+y+z)/3",
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},
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"id": 971797901120516100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/05/2022 11:37:54",
"content": "**DETOX**",
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"id": 971798161758756900,
"author_id": 235369247323193340,
"author_name": "DETOX",
"timestamp": "05/05/2022 11:38:56",
"content": "prove $\\frac{sinx+siny+sinz}{3} \\leq sin(\\frac{x+y+z}{3})$",
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},
{
"id": 971798194700828800,
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"author_name": "quag.mih",
"timestamp": "05/05/2022 11:39:04",
"content": "no",
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},
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"id": 971798263198023700,
"author_id": 645630763840045000,
"author_name": "quag.mih",
"timestamp": "05/05/2022 11:39:21",
"content": "it's sin(x/3 +y/3 +z/3)",
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},
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"id": 971798496300658700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/05/2022 11:40:16",
"content": "**DETOX**",
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"author_name": "quag.mih",
"timestamp": "05/05/2022 11:40:21",
"content": "yea",
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},
{
"id": 971798553976516600,
"author_id": 645630763840045000,
"author_name": "quag.mih",
"timestamp": "05/05/2022 11:40:30",
"content": "that's correct",
"attachments": [],
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},
{
"id": 971798596942987400,
"author_id": 645630763840045000,
"author_name": "quag.mih",
"timestamp": "05/05/2022 11:40:40",
"content": "please help me",
"attachments": [],
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},
{
"id": 971798947637129200,
"author_id": 936630749459779600,
"author_name": "lol",
"timestamp": "05/05/2022 11:42:04",
"content": "@Mathematics Botno",
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"author_name": "Mathematics Bot",
"timestamp": "05/05/2022 11:55:40",
"content": "@quag.mih Has your question been resolved?",
"attachments": [],
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"id": 971803041982480500,
"author_id": 245091211486953470,
"author_name": "1345631",
"timestamp": "05/05/2022 11:58:20",
"content": "Jensen",
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},
{
"id": 971803061301444600,
"author_id": 245091211486953470,
"author_name": "1345631",
"timestamp": "05/05/2022 11:58:25",
"content": "'s inequality",
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},
{
"id": 971810044020658200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/05/2022 12:26:09",
"content": "@quag.mih Has your question been resolved?",
"attachments": [],
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{
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"id": 971811755506405500,
"author_id": 245091211486953470,
"author_name": "1345631",
"timestamp": "05/05/2022 12:32:57",
"content": "Jensen's inequality",
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"author_name": "quag.mih",
"timestamp": "05/05/2022 12:34:21",
"content": "?",
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},
{
"id": 971814983417618400,
"author_id": 245091211486953470,
"author_name": "1345631",
"timestamp": "05/05/2022 12:45:47",
"content": "https://en.wikipedia.org/wiki/Jensen%27s_inequality",
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},
{
"id": 971827210338062500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/05/2022 13:34:22",
"content": "@quag.mih Has your question been resolved?",
"attachments": [],
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{
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"name": "quag.mih",
"discriminator": "0173",
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{
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"timestamp": "05/05/2022 14:34:22",
"content": "Channel closed",
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}
] |
help-9
|
a42c65bbd8fc4cac9228e34ced33bffd
|
199,729 |
[
{
"id": 971842563592044700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/05/2022 14:35:23",
"content": "Available help channel!",
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},
{
"id": 971844736992284800,
"author_id": 453198078229610500,
"author_name": "lordlouckster",
"timestamp": "05/05/2022 14:44:01",
"content": "what is a pairing function called if it doesn't produce every natural number",
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},
{
"id": 971844739995414700,
"author_id": 805217272087838700,
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"content": "Pinned a message.",
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"id": 971844912645550100,
"author_id": 453198078229610500,
"author_name": "lordlouckster",
"timestamp": "05/05/2022 14:44:43",
"content": "e.g. prime(a)^b",
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},
{
"id": 971846070395080800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/05/2022 14:49:19",
"content": "uh doesn't have a special name. maybe \"not onto\"",
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"timestamp": "05/05/2022 14:59:43",
"content": "@lordlouckster Has your question been resolved?",
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"timestamp": "05/05/2022 15:14:43",
"content": "Channel closed",
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}
] |
help-9
|
3f9b5bf5082e4dd5af9119bd8781c6ff
|
199,730 |
[
{
"id": 971852716898930800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/05/2022 15:15:43",
"content": "Available help channel!",
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},
{
"id": 971855803231404000,
"author_id": 629774278879084500,
"author_name": "! Lastly",
"timestamp": "05/05/2022 15:27:59",
"content": "I wasn’t in when we were doing sine and cosine rules can someone help me understand what it is trying to say",
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"author_name": "Mathematics Bot",
"timestamp": "05/05/2022 15:28:00",
"content": "Pinned a message.",
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{
"id": 971858193787547800,
"author_id": 923237706467786800,
"author_name": "BuzzyProton",
"timestamp": "05/05/2022 15:37:29",
"content": "try to draw a perpendicular line from A to side BC and call it D, this AD will be \"H\"",
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},
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"id": 971858269259841500,
"author_id": 346288140610306050,
"author_name": "Jester",
"timestamp": "05/05/2022 15:37:47",
"content": "or H",
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},
{
"id": 971858291690979500,
"author_id": 923237706467786800,
"author_name": "BuzzyProton",
"timestamp": "05/05/2022 15:37:52",
"content": "then try applying area of triangle formula with the cosine rule",
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},
{
"id": 971858404345774200,
"author_id": 923237706467786800,
"author_name": "BuzzyProton",
"timestamp": "05/05/2022 15:38:19",
"content": "yes AD will basically the height H",
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},
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"timestamp": "05/05/2022 15:43:20",
"content": "@! Lastly Has your question been resolved?",
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"id": 971861076796899300,
"author_id": 923237706467786800,
"author_name": "BuzzyProton",
"timestamp": "05/05/2022 15:48:57",
"content": "did you use the ideas?",
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},
{
"id": 971861198507221000,
"author_id": 884756951332974600,
"author_name": "DedMan",
"timestamp": "05/05/2022 15:49:26",
"content": "what is the area of the largest rectangle that can be inscribed in a right angled triangle",
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},
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"id": 971862216812933100,
"author_id": 923237706467786800,
"author_name": "BuzzyProton",
"timestamp": "05/05/2022 15:53:28",
"content": "the answer is half of that of triangle, and dude this is not your help channel lol",
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"id": 971862317342003200,
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"author_name": "BuzzyProton",
"timestamp": "05/05/2022 15:53:52",
"content": "Math Help. Please read #❓how-to-get-help and #rules.",
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},
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"id": 971863439150559200,
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"timestamp": "05/05/2022 15:58:20",
"content": "Channel closed",
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}
] |
help-9
|
d5d8042209f140fd8128233c9a40c214
|
199,731 |
[
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"timestamp": "03/20/2022 22:51:43",
"content": "Available help channel!",
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},
{
"id": 955299514539995100,
"author_id": 859635017084960800,
"author_name": "Riko",
"timestamp": "03/20/2022 22:59:12",
"content": "would this be none of the above? because ∑ ak (50, k=1) + 2 ∑ bk (50, k=1) would be -1 + 2(1) = 1? unsure if my method here is correct",
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"timestamp": "03/20/2022 22:59:13",
"content": "Pinned a message.",
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"id": 955303290411831300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/20/2022 23:14:13",
"content": "@Riko Has your question been resolved?",
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{
"id": 955306685302460400,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/20/2022 23:27:42",
"content": "linearity of sums",
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{
"id": 955306705229602800,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/20/2022 23:27:47",
"content": "and distributive property",
"attachments": [],
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"reference": null
},
{
"id": 955306712007581700,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "03/20/2022 23:27:48",
"content": "so yes",
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},
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"id": 955306727044161500,
"author_id": 859635017084960800,
"author_name": "Riko",
"timestamp": "03/20/2022 23:27:52",
"content": "got it tyvm",
"attachments": [],
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},
{
"id": 955306776826364000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/20/2022 23:28:04",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
a385ac8569a24326a8f3910d31085ed1
|
199,732 |
[
{
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"timestamp": "03/24/2022 08:26:35",
"content": "Available help channel!",
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},
{
"id": 956535007701254100,
"author_id": 312942836431716350,
"author_name": "shuja",
"timestamp": "03/24/2022 08:48:37",
"content": "Need help with the working in this question",
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"content": "Pinned a message.",
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"timestamp": "03/24/2022 08:51:21",
"content": "Approach along y=x^3. Then you get the limit as 1. Let x = 0 then let y->0, you get the limit as lim(0/y^2) = 0. So the limit does not exist.",
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"timestamp": "03/24/2022 08:52:36",
"content": ".close",
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help-9
|
1d8d0fd906084767b2fe7cd10f18e715
|
199,733 |
[
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"author_name": "Mathematics Bot",
"timestamp": "05/05/2022 15:59:20",
"content": "Available help channel!",
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},
{
"id": 971864704593039400,
"author_id": 434460041853272060,
"author_name": "Toge Inumaki",
"timestamp": "05/05/2022 16:03:21",
"content": "I have to make the point move from 0 to 1 in this Bezier curve while maintaining a constant speed",
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"content": "Pinned a message.",
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"id": 971864968674807800,
"author_id": 434460041853272060,
"author_name": "Toge Inumaki",
"timestamp": "05/05/2022 16:04:24",
"content": "my point is moving along the curve, but I don't know how to let i maintain a constant speed",
"attachments": [],
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"id": 971865184601792500,
"author_id": 434460041853272060,
"author_name": "Toge Inumaki",
"timestamp": "05/05/2022 16:05:16",
"content": "At every point t in this curve, the speed has to be constant",
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"author_id": 434460041853272060,
"author_name": "Toge Inumaki",
"timestamp": "05/05/2022 16:05:35",
"content": "So the point has to move in a constant speed",
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"timestamp": "05/05/2022 16:20:35",
"content": "@Toge Inumaki Has your question been resolved?",
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"content": "Channel closed",
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help-9
|
904e0f6f830648aaacaec932c9d2b597
|
199,734 |
[
{
"id": 971869567808848000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/05/2022 16:22:41",
"content": "Available help channel!",
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"id": 971874135309426700,
"author_id": 704864913985634300,
"author_name": "GTBOT",
"timestamp": "05/05/2022 16:40:50",
"content": "Other then slope of a vertical line where can you run into division by zero",
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"content": "Pinned a message.",
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"id": 971874381368275000,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "05/05/2022 16:41:49",
"content": "tan(90)",
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},
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"id": 971874443167170700,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "05/05/2022 16:42:03",
"content": "Since tan(x) = sin(x)/cos(x) and cos(90) = 0",
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"id": 971874594841575400,
"author_id": 704864913985634300,
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"timestamp": "05/05/2022 16:42:39",
"content": "Interesting",
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},
{
"id": 971875007951163500,
"author_id": 704864913985634300,
"author_name": "GTBOT",
"timestamp": "05/05/2022 16:44:18",
"content": "Anywhere else?",
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"id": 971875133750927500,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "05/05/2022 16:44:48",
"content": "Maybe when you have a function with an expression of x in the denominator?",
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"id": 971875273555464300,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "05/05/2022 16:45:21",
"content": "Or the derivative definition",
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},
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"id": 971875283680522400,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "05/05/2022 16:45:24",
"content": "With limits",
"attachments": [],
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},
{
"id": 971876031336161400,
"author_id": 704864913985634300,
"author_name": "GTBOT",
"timestamp": "05/05/2022 16:48:22",
"content": "Any formulas that might get division by zero?",
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},
{
"id": 971877293540671500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "05/05/2022 16:53:23",
"content": "these questions are too general",
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"id": 971877479348305900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "05/05/2022 16:54:07",
"content": "what's your end goal?",
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},
{
"id": 971877963257770000,
"author_id": 704864913985634300,
"author_name": "GTBOT",
"timestamp": "05/05/2022 16:56:03",
"content": "I can not say my goal without being called crazy",
"attachments": [],
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"id": 971879508036686000,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "05/05/2022 17:02:11",
"content": "you're not gonna get called crazy on a mathematics discord server.",
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"id": 971881739419017200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/05/2022 17:11:03",
"content": "@GTBOT Has your question been resolved?",
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"author_name": "GTBOT",
"timestamp": "05/05/2022 17:15:54",
"content": "I know how to divide by zero and get a numerical answer and I’m trying to see what I can do with this info",
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"timestamp": "05/05/2022 17:16:28",
"content": "I think everyone here would call that crazy",
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{
"id": 971883262412738600,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "05/05/2022 17:17:06",
"content": "How are you finding a numerical answer?",
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{
"id": 971884506430701600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/05/2022 17:22:03",
"content": "it's a good exercise to try to figure out why dividing by 0 is undefined. \n<https://en.wikipedia.org/wiki/Division_by_zero>",
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"id": 971884686743855100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/05/2022 17:22:46",
"content": "> There are mathematical structures in which {\\textstyle {\\tfrac {a}{0}}}{\\textstyle {\\tfrac {a}{0}}} is defined for some a such as in the Riemann sphere (a model of the extended complex plane) and the Projectively extended real line; however, such structures do not satisfy every ordinary rule of arithmetic (the field axioms)",
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"id": 971884883037286500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/05/2022 17:23:32",
"content": "So you'll have to give up one or more of these field axioms\n> Associativity of addition and multiplication: a + (b + c) = (a + b) + c, and a ⋅ (b ⋅ c) = (a ⋅ b) ⋅ c.\n> Commutativity of addition and multiplication: a + b = b + a, and a ⋅ b = b ⋅ a.\n> Additive and multiplicative identity: there exist two different elements 0 and 1 in F such that a + 0 = a and a ⋅ 1 = a.\n> Additive inverses: for every a in F, there exists an element in F, denoted −a, called the additive inverse of a, such that a + (−a) = 0.\n> Multiplicative inverses: for every a ≠ 0 in F, there exists an element in F, denoted by a−1 or 1/a, called the multiplicative inverse of a, such that a ⋅ a−1 = 1.\n> Distributivity of multiplication over addition: a ⋅ (b + c) = (a ⋅ b) + (a ⋅ c).\n<https://en.wikipedia.org/wiki/Field_(mathematics)#Definition_and_illustration>",
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"author_name": "GTBOT",
"timestamp": "05/05/2022 17:26:01",
"content": "https://docs.google.com/document/d/1WOiBXy8JgL2XrotK0u6_M4kWmXhqgoaZJjCTBuuTaAg",
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"author_name": "Mathematics Bot",
"timestamp": "05/05/2022 17:56:01",
"content": "@GTBOT Has your question been resolved?",
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"timestamp": "05/05/2022 18:26:02",
"content": "Channel closed",
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}
] |
help-9
|
c1d806b2c7d347b19c582fcd73f9b62d
|
199,735 |
[
{
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"timestamp": "05/05/2022 18:27:02",
"content": "Available help channel!",
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"id": 971901868869554200,
"author_id": 813447252063944800,
"author_name": "adarw",
"timestamp": "05/05/2022 18:31:02",
"content": "yeah idk how to do this",
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"content": "Pinned a message.",
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"id": 971901892110200800,
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"author_name": "adarw",
"timestamp": "05/05/2022 18:31:08",
"content": "oops",
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"id": 971901907910148100,
"author_id": 813447252063944800,
"author_name": "adarw",
"timestamp": "05/05/2022 18:31:11",
"content": "wrong screenshot",
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"id": 971901923626188800,
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"timestamp": "05/05/2022 18:31:23",
"content": "here is the right one xD",
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{
"id": 971902228426268800,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "05/05/2022 18:32:28",
"content": "It always has to have roots of -4 and 4?",
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"id": 971902238945583100,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "05/05/2022 18:32:30",
"content": "But you change the y-intercept?",
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"id": 971902778022703100,
"author_id": 813447252063944800,
"author_name": "adarw",
"timestamp": "05/05/2022 18:34:39",
"content": "yeah how do i do that?",
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"id": 971903014480793700,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "05/05/2022 18:35:35",
"content": "y = a(x - 4)(x + 4)",
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"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "05/05/2022 18:35:43",
"content": "Where y is the y coordinate of the y-intercept",
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"id": 971903065085055000,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "05/05/2022 18:35:47",
"content": "I would just rinse and repeat",
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"id": 971903091676950700,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "05/05/2022 18:35:54",
"content": "I use this for cubic equations too",
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"id": 971903150518861800,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "05/05/2022 18:36:08",
"content": "And x = 0 ofc",
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"id": 971903174078259200,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "05/05/2022 18:36:13",
"content": "because the y intercept means x = 0",
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"id": 971903301329223700,
"author_id": 813447252063944800,
"author_name": "adarw",
"timestamp": "05/05/2022 18:36:44",
"content": "i see i see",
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"id": 971903321759690800,
"author_id": 813447252063944800,
"author_name": "adarw",
"timestamp": "05/05/2022 18:36:48",
"content": "okay il try that now thanks!",
"attachments": [],
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},
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"id": 971903934287458300,
"author_id": 813447252063944800,
"author_name": "adarw",
"timestamp": "05/05/2022 18:39:15",
"content": "wait @shreksdad so if i want to do 80= a (-4) (4)",
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"author_name": "adarw",
"timestamp": "05/05/2022 18:39:25",
"content": "do i mulitply a with -4?",
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"id": 971904117188460700,
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"author_name": "shreksdad",
"timestamp": "05/05/2022 18:39:58",
"content": "Just",
"attachments": [],
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"id": 971904123458949100,
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"author_name": "shreksdad",
"timestamp": "05/05/2022 18:40:00",
"content": "Solve for a",
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"id": 971904161157369900,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "05/05/2022 18:40:09",
"content": "80 = a * -16",
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"id": 971904373217173500,
"author_id": 813447252063944800,
"author_name": "adarw",
"timestamp": "05/05/2022 18:40:59",
"content": "so 80/16 to find a? @shreksdad",
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"id": 971904555451310100,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "05/05/2022 18:41:43",
"content": "-16",
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"id": 971904569695150100,
"author_id": 521326998195273700,
"author_name": "shreksdad",
"timestamp": "05/05/2022 18:41:46",
"content": "But yes",
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"id": 971904888026067000,
"author_id": 813447252063944800,
"author_name": "adarw",
"timestamp": "05/05/2022 18:43:02",
"content": "thx",
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"author_name": "adarw",
"timestamp": "05/05/2022 18:52:44",
"content": ".close",
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},
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"timestamp": "05/05/2022 18:52:45",
"content": "Channel closed",
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}
] |
help-9
|
5b779f27138b45dc9123dccbfbcbc5e4
|
199,736 |
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"author_name": "Ronnling",
"timestamp": "05/05/2022 19:04:32",
"content": "I didnt understand this question quite so well. I got stuck and didnt know what to do anymore",
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"author_name": "Mathematics Bot",
"timestamp": "05/05/2022 19:04:33",
"content": "Pinned a message.",
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"id": 971910608196882400,
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"author_name": "adarw",
"timestamp": "05/05/2022 19:05:46",
"content": "its d* pi",
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},
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"id": 971910666170556400,
"author_id": 813447252063944800,
"author_name": "adarw",
"timestamp": "05/05/2022 19:06:00",
"content": "for a full circle",
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"timestamp": "05/05/2022 19:06:14",
"content": "so 2 * 3.14",
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"id": 971910871502700500,
"author_id": 579349294516011000,
"author_name": "Ronnling",
"timestamp": "05/05/2022 19:06:48",
"content": "i see",
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"content": "i think i understand",
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"id": 971911002973155300,
"author_id": 579349294516011000,
"author_name": "Ronnling",
"timestamp": "05/05/2022 19:07:20",
"content": "thank you",
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},
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"id": 971911011886039000,
"author_id": 579349294516011000,
"author_name": "Ronnling",
"timestamp": "05/05/2022 19:07:22",
"content": ".close",
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},
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"id": 971911013437952000,
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"content": "Channel closed",
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] |
help-9
|
8edbbe51411648d180ec05ee71103c16
|
199,737 |
[
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"author_name": "adarw",
"timestamp": "05/05/2022 19:09:08",
"content": "but then since its half a cirlce divide that answer by 2 and then add 2 because of the line @Ronnling",
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"content": ".close",
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{
"id": 971912826841079800,
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"timestamp": "05/05/2022 19:14:35",
"content": "Available help channel!",
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},
{
"id": 971916549462052900,
"author_id": 515826248027471900,
"author_name": "Raach",
"timestamp": "05/05/2022 19:29:22",
"content": "Hello! I got a geometry problem. I got a triangle with an ortocentre, which has the coordinates H (-7, -1). I got the angle A (0, 3) and B (-1, -2). I gotta find out C.",
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"timestamp": "05/05/2022 19:29:23",
"content": "Pinned a message.",
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"id": 971916609327345700,
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"author_name": "Raach",
"timestamp": "05/05/2022 19:29:37",
"content": "I have tried finding out the slope of AB",
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"id": 971916653774385200,
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"timestamp": "05/05/2022 19:29:47",
"content": "",
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"timestamp": "05/05/2022 19:29:51",
"content": "here picture for more accuracy",
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"timestamp": "05/05/2022 19:30:42",
"content": "I however don't know how to proceed further",
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"id": 971917522163081200,
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"author_name": "Raach",
"timestamp": "05/05/2022 19:33:14",
"content": "I thought that if AH ⊥ BC I could find out like slope of BC but It won't work",
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"timestamp": "05/05/2022 19:48:14",
"content": "@Raach Has your question been resolved?",
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"id": 971922561208311800,
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"timestamp": "05/05/2022 19:53:16",
"content": ".close",
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},
{
"id": 971922563695525900,
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"timestamp": "05/05/2022 19:53:16",
"content": "Channel closed",
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}
] |
help-9
|
99fd90619fa7427290ae8512cebd3d30
|
199,738 |
[
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"id": 971922815940968400,
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"timestamp": "05/05/2022 19:54:16",
"content": "Available help channel!",
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},
{
"id": 971926834549751800,
"author_id": 458700244926857200,
"author_name": "stev",
"timestamp": "05/05/2022 20:10:14",
"content": "Working on a simple induction problem and despite having a bachelors in math it’s been too long since i’ve done this",
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"id": 971926836944711800,
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"timestamp": "05/05/2022 20:10:15",
"content": "Pinned a message.",
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"id": 971927108987281400,
"author_id": 458700244926857200,
"author_name": "stev",
"timestamp": "05/05/2022 20:11:20",
"content": "Just need help getting the 5^(k+1) -1 to look like 5^k -1 +a(k+1)",
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"timestamp": "05/05/2022 20:12:20",
"content": "LOL IM KIDDING I GOT IT",
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"id": 971927375564648400,
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"timestamp": "05/05/2022 20:12:23",
"content": ".close",
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{
"id": 971927377728897000,
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"timestamp": "05/05/2022 20:12:24",
"content": "Channel closed",
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}
] |
help-9
|
9fc830d75b804ec292e7c7b70384b677
|
199,739 |
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"content": "Available help channel!",
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"content": "Pinned a message.",
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"author_id": 722386331333820400,
"author_name": "GooGooGaGa",
"timestamp": "05/05/2022 20:22:49",
"content": "We just started learning about quartile, decile and percentile of of ungrounded and grouped data",
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"id": 971930074414727300,
"author_id": 722386331333820400,
"author_name": "GooGooGaGa",
"timestamp": "05/05/2022 20:23:07",
"content": "How do you do the 5th question?",
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"id": 971930822628225200,
"author_id": 359882656412074000,
"author_name": "Quill",
"timestamp": "05/05/2022 20:26:05",
"content": "are X the amount of F terms?",
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"timestamp": "05/05/2022 20:26:26",
"content": "I could help if they explained what the table was properly :sad:",
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"timestamp": "05/05/2022 20:26:40",
"content": "I have no idea",
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"author_name": "GooGooGaGa",
"timestamp": "05/05/2022 20:26:58",
"content": "Can’t use the formula they gave me cuz this table doesn’t allow that",
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"id": 971931156599697500,
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"author_name": "Quill",
"timestamp": "05/05/2022 20:27:25",
"content": "The table lacks necessary information to solve this question to a satisfactory degree imo",
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"id": 971931397054931000,
"author_id": 722386331333820400,
"author_name": "GooGooGaGa",
"timestamp": "05/05/2022 20:28:22",
"content": "Well shit I’m expected to complete by today, is it possible to solve it if x was the classes and f the frequency?",
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"id": 971931695257354200,
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"author_name": "Quill",
"timestamp": "05/05/2022 20:29:33",
"content": "Mhm yes it is",
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"id": 971931788891001000,
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"author_name": "Quill",
"timestamp": "05/05/2022 20:29:56",
"content": "If that's the case, you can just do what you did in the 4th question at a larger scale in your mind",
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"id": 971932002104254500,
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"author_name": "GooGooGaGa",
"timestamp": "05/05/2022 20:30:46",
"content": "But how?",
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"id": 971932040184356900,
"author_id": 722386331333820400,
"author_name": "GooGooGaGa",
"timestamp": "05/05/2022 20:30:56",
"content": "The classes in the questions are different",
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"id": 971932071830364200,
"author_id": 722386331333820400,
"author_name": "GooGooGaGa",
"timestamp": "05/05/2022 20:31:03",
"content": "Can’t use the formula for the 5th question",
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"id": 971932813173604500,
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"author_name": "Quill",
"timestamp": "05/05/2022 20:34:00",
"content": "I think it might not be possible since there's no range @.@",
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"id": 971932958745325600,
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"author_name": "Quill",
"timestamp": "05/05/2022 20:34:35",
"content": "I have no clue how this question is supposed to make sense",
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"author_name": "GooGooGaGa",
"timestamp": "05/05/2022 20:35:22",
"content": "What I was thinking",
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"timestamp": "05/05/2022 20:35:29",
"content": "You can wait for someone else here to give it a go, maybe I'm stupid ;-;",
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"timestamp": "05/05/2022 20:35:46",
"content": "It’s okay mate thanks",
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"timestamp": "05/05/2022 20:36:07",
"content": "X *could* be average of the ranges",
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"author_id": 722386331333820400,
"author_name": "GooGooGaGa",
"timestamp": "05/05/2022 20:36:09",
"content": "But if this question isn’t possible I’ll be talking to my teacher",
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"timestamp": "05/05/2022 20:36:22",
"content": "Average of the range?",
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"timestamp": "05/05/2022 20:36:26",
"content": "something like this",
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"author_id": 722386331333820400,
"author_name": "GooGooGaGa",
"timestamp": "05/05/2022 20:37:01",
"content": "But the range should be constant right?",
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"timestamp": "05/05/2022 20:37:39",
"content": "yep",
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"id": 971933839758884900,
"author_id": 359882656412074000,
"author_name": "Quill",
"timestamp": "05/05/2022 20:38:05",
"content": "what if the ranges are -1 and +1 of the numbers ^^",
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"id": 971933869072846800,
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"timestamp": "05/05/2022 20:38:12",
"content": "so the range would be constant at 2",
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"id": 971933896570699800,
"author_id": 722386331333820400,
"author_name": "GooGooGaGa",
"timestamp": "05/05/2022 20:38:18",
"content": "What wat is x on that table?",
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"id": 971933952929570800,
"author_id": 359882656412074000,
"author_name": "Quill",
"timestamp": "05/05/2022 20:38:32",
"content": "X is the average of the range",
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"id": 971934113399460000,
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"author_name": "Quill",
"timestamp": "05/05/2022 20:39:10",
"content": "But idk what the X is in your table",
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{
"id": 971935251167313900,
"author_id": 722386331333820400,
"author_name": "GooGooGaGa",
"timestamp": "05/05/2022 20:43:41",
"content": "What does average of the range mean?",
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"id": 971935276328976500,
"author_id": 722386331333820400,
"author_name": "GooGooGaGa",
"timestamp": "05/05/2022 20:43:47",
"content": "They didn’t teach us this",
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"id": 971935497448484900,
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"author_name": "Quill",
"timestamp": "05/05/2022 20:44:40",
"content": "Do you know about median?",
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"author_id": 722386331333820400,
"author_name": "GooGooGaGa",
"timestamp": "05/05/2022 20:47:14",
"content": "Yeah",
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"timestamp": "05/05/2022 20:47:52",
"content": "The average of ranges where there's no weightage involved, is the median",
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"id": 971936434032361500,
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"timestamp": "05/05/2022 20:48:23",
"content": "the median between 100.5 and 105.5 would be 103 for example",
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"id": 971936562860421100,
"author_id": 722386331333820400,
"author_name": "GooGooGaGa",
"timestamp": "05/05/2022 20:48:54",
"content": "Oh",
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"id": 971936725490356400,
"author_id": 722386331333820400,
"author_name": "GooGooGaGa",
"timestamp": "05/05/2022 20:49:33",
"content": "BUt the average of the ranges would still increase by a constant right?",
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"author_name": "GooGooGaGa",
"timestamp": "05/05/2022 20:49:47",
"content": "Doesn’t behave like that in the table I sent",
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},
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"id": 971936832310874100,
"author_id": 722386331333820400,
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"timestamp": "05/05/2022 20:49:58",
"content": "They multiple by 2 each",
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},
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"id": 971936851235594400,
"author_id": 722386331333820400,
"author_name": "GooGooGaGa",
"timestamp": "05/05/2022 20:50:03",
"content": "Every time",
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},
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"id": 971937718240178200,
"author_id": 359882656412074000,
"author_name": "Quill",
"timestamp": "05/05/2022 20:53:29",
"content": "yeah",
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},
{
"id": 971937737550725100,
"author_id": 359882656412074000,
"author_name": "Quill",
"timestamp": "05/05/2022 20:53:34",
"content": "hence i said that it wouldnt work",
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"id": 971937774225748100,
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"author_name": "Quill",
"timestamp": "05/05/2022 20:53:43",
"content": "and that the table lacks sufficient information",
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},
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"author_id": 722386331333820400,
"author_name": "GooGooGaGa",
"timestamp": "05/05/2022 20:56:41",
"content": "Alright",
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},
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"author_id": 722386331333820400,
"author_name": "GooGooGaGa",
"timestamp": "05/05/2022 20:56:47",
"content": "Thank you so much",
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"author_name": "GooGooGaGa",
"timestamp": "05/05/2022 20:57:24",
"content": "",
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"timestamp": "05/05/2022 20:57:25",
"content": "Would this one work?",
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"author_name": "Quill",
"timestamp": "05/05/2022 20:58:48",
"content": "Breaks AP, so no it wouldn't either",
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"timestamp": "05/05/2022 20:59:53",
"content": "Again, I'm not saying it's impossible to do, it just lacks necessary information to arrive at one single answer",
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"timestamp": "05/05/2022 21:12:25",
"content": "@GooGooGaGa Has your question been resolved?",
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"timestamp": "05/05/2022 21:27:25",
"content": "Channel closed",
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}
] |
help-9
|
072e4506c6c24c3bb9b8885c2653fd78
|
199,740 |
[
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"id": 971946510805774300,
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"author_name": "Mathematics Bot",
"timestamp": "05/05/2022 21:28:26",
"content": "Available help channel!",
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},
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"id": 971947276304023700,
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"content": "",
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"content": "Pinned a message.",
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"author_id": 310961844334493700,
"author_name": "Rizzard of Oz",
"timestamp": "05/05/2022 21:32:09",
"content": "the answer is b but i was 100% sure it was d",
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"author_name": "Rizzard of Oz",
"timestamp": "05/05/2022 21:32:45",
"content": "doesnt the derivative at f'(1) = 0",
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},
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"id": 971947669557751800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/05/2022 21:33:02",
"content": "Inflection points are turning points in the graph",
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},
{
"id": 971947677111713800,
"author_id": 118536946527109120,
"author_name": "Migillope",
"timestamp": "05/05/2022 21:33:04",
"content": "das a critical point, mrcuddles",
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"id": 971947767389896700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/05/2022 21:33:25",
"content": "Meaning slope goes from positive to neg or neg to positive",
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},
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"id": 971947929998852100,
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"author_name": "Rizzard of Oz",
"timestamp": "05/05/2022 21:34:04",
"content": "doesnt going from negative to 0 to negative count as an inflection?",
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},
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"id": 971947989801267200,
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"author_name": "dldh06",
"timestamp": "05/05/2022 21:34:18",
"content": "But it's still negative",
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},
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"timestamp": "05/05/2022 21:34:50",
"content": "ah ok",
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},
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"timestamp": "05/05/2022 21:49:51",
"content": "@Rizzard of Oz Has your question been resolved?",
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"timestamp": "05/05/2022 21:52:35",
"content": "Channel closed",
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}
] |
help-9
|
ee79154ddb2b4d98820c432b14bdc10e
|
199,741 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/05/2022 21:53:36",
"content": "Available help channel!",
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},
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"id": 971955653700640800,
"author_id": 780024147245662200,
"author_name": "Luciferinoz",
"timestamp": "05/05/2022 22:04:45",
"content": "This might be against the rules, and im sorry if it is, but im not a very smart individual myself and i dont know this but ive tried, this is a simple question based on something i did, what are the calculated odds of me plugging my phone up at the exact same time it hits 0% and saving my phones life?",
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"author_name": "Mathematics Bot",
"timestamp": "05/05/2022 22:04:46",
"content": "Pinned a message.",
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"content": "",
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"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/05/2022 22:05:34",
"content": "Exactly 0",
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},
{
"id": 971955940939161700,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/05/2022 22:05:54",
"content": "The odds of an exact value occuring for a continuous variable is 0",
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},
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"id": 971955985335857200,
"author_id": 780024147245662200,
"author_name": "Luciferinoz",
"timestamp": "05/05/2022 22:06:04",
"content": "So im basically a living legend?",
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},
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"id": 971956021100707800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/05/2022 22:06:13",
"content": "No",
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},
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"id": 971956040264478800,
"author_id": 780024147245662200,
"author_name": "Luciferinoz",
"timestamp": "05/05/2022 22:06:18",
"content": "Awh",
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},
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"id": 971956060002877400,
"author_id": 780024147245662200,
"author_name": "Luciferinoz",
"timestamp": "05/05/2022 22:06:22",
"content": "Ok but say it in a number",
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"id": 971956077782515700,
"author_id": 780024147245662200,
"author_name": "Luciferinoz",
"timestamp": "05/05/2022 22:06:27",
"content": "Like 0.",
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"id": 971956094811398100,
"author_id": 780024147245662200,
"author_name": "Luciferinoz",
"timestamp": "05/05/2022 22:06:31",
"content": "Or just 0",
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},
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"id": 971956098665943000,
"author_id": 551269104800104450,
"author_name": "EndTimes",
"timestamp": "05/05/2022 22:06:31",
"content": "Or I guess there is a time interval tho",
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"id": 971956203892650000,
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"author_name": "dldh06",
"timestamp": "05/05/2022 22:06:57",
"content": "Phone batteries have that few extra seconds, maybe minutes, of power before it shuts off",
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"author_name": "Luciferinoz",
"timestamp": "05/05/2022 22:06:57",
"content": "Basically what im asking is how rare is the feat",
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"timestamp": "05/05/2022 22:07:10",
"content": "Mine doesnt it dies instantly",
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"timestamp": "05/05/2022 22:07:14",
"content": "I looked",
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"id": 971956295932473300,
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"author_name": "dldh06",
"timestamp": "05/05/2022 22:07:19",
"content": "My point exactly",
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"id": 971956400404172900,
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"author_name": "dldh06",
"timestamp": "05/05/2022 22:07:43",
"content": "Your phone battery could have been at 0% for 30 seconds before you plugged it up",
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"id": 971956407404482600,
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"author_name": "Luciferinoz",
"timestamp": "05/05/2022 22:07:45",
"content": "But how rare is this",
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"author_name": "Luciferinoz",
"timestamp": "05/05/2022 22:08:09",
"content": "I plugged it up at 1% then it changed to 0% in the exact same moment",
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"id": 971956589558898700,
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"timestamp": "05/05/2022 22:08:29",
"content": "As it comnected with said charger",
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"timestamp": "05/05/2022 22:08:53",
"content": "More often than you think",
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"author_name": "dldh06",
"timestamp": "05/05/2022 22:09:03",
"content": "I've done that at least 10 times now",
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"author_name": "Luciferinoz",
"timestamp": "05/05/2022 22:09:05",
"content": "I just want the number",
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"id": 971957003209568300,
"author_id": 218476117101772800,
"author_name": "Sooshon",
"timestamp": "05/05/2022 22:10:07",
"content": "I don’t think anyone would have done an actual scientific study on this, no one will be able to give you anything but an anecdotal guess",
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"author_name": "Luciferinoz",
"timestamp": "05/05/2022 22:10:45",
"content": "To be more precise im asking for the chances of it occuring",
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"author_name": "Sooshon",
"timestamp": "05/05/2022 22:11:04",
"content": "And it will differ phone to phone, when a phone displays 0% for the battery life just depends on what programming design choices were taken",
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"author_name": "Luciferinoz",
"timestamp": "05/05/2022 22:12:12",
"content": "For my phone, when it hits 0% it dies immediately, without hesitation, thats why i was suprised when i plugged it up as soon as it hit 0%.",
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"timestamp": "05/05/2022 22:12:18",
"content": "No one has an answer for you",
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"timestamp": "05/05/2022 22:12:23",
"content": "Dang",
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"author_name": "Luciferinoz",
"timestamp": "05/05/2022 22:13:00",
"content": "Arent you guys like harvard students tho",
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"id": 971957751460806800,
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"timestamp": "05/05/2022 22:13:06",
"content": "No",
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"author_name": "dldh06",
"timestamp": "05/05/2022 22:13:22",
"content": "Go get data yourself",
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"timestamp": "05/05/2022 22:13:29",
"content": "Idk where to start",
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"id": 971957896483078100,
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"author_name": "Luciferinoz",
"timestamp": "05/05/2022 22:13:40",
"content": "I already tried",
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"timestamp": "05/05/2022 22:13:58",
"content": ".close",
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},
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"timestamp": "05/05/2022 22:13:58",
"content": "Channel closed",
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}
] |
help-9
|
dfb6db2ee2324945924b81065269c049
|
199,742 |
[
{
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"content": "Available help channel!",
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},
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"id": 971959861879406700,
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"timestamp": "05/05/2022 22:21:29",
"content": "Ok im back but how many times can i do this before i cant",
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"content": "You realize this is fake, right?",
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"content": "Answer the question",
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"timestamp": "05/05/2022 22:23:31",
"content": "He cut the orange twice and folded it",
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"content": "How many times can i fold the orange before i cant",
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"content": "And I told you, it's fake",
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"content": "Wait how did he cut the orange like that",
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"timestamp": "05/05/2022 22:24:34",
"content": "The magic of editing",
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"content": "The answer is acrually he cut it clean through",
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"timestamp": "05/05/2022 22:25:09",
"content": "If u look closely u can c",
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"content": "No, it's still edited",
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"timestamp": "05/05/2022 22:26:07",
"content": "How many times can i fold the average size paper",
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"content": "You can't fold fruit like that with it tearing",
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"timestamp": "05/05/2022 22:26:37",
"content": "> The commonly accepted wisdom is that you can't fold a single sheet of paper in half more than seven times",
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"timestamp": "05/05/2022 22:26:47",
"content": "Just google it",
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"timestamp": "05/05/2022 22:26:49",
"content": "Cap",
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"timestamp": "05/05/2022 22:26:51",
"content": "Ill do it",
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"content": "More than 7?",
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"content": "Yea",
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"content": "you can if you have something sufficiently large and/or thin",
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"content": "They did say average size piece of paper",
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"timestamp": "05/05/2022 22:27:56",
"content": "Im getting an average",
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"content": "The common piece of paper thats closer to a rectangle than a square",
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"timestamp": "05/05/2022 22:31:02",
"content": "Doing it rn",
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"timestamp": "05/05/2022 22:31:41",
"content": "Bam",
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"timestamp": "05/05/2022 22:31:42",
"content": "Qq",
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"timestamp": "05/05/2022 22:32:05",
"content": "13",
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"timestamp": "05/05/2022 22:32:08",
"content": "Lies",
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"content": "13 times",
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"timestamp": "05/05/2022 22:32:29",
"content": "You fold it in half, then take that half and fold it in half",
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"timestamp": "05/05/2022 22:32:41",
"content": "You never specified how big of a fold",
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"timestamp": "05/05/2022 22:32:43",
"content": "Not fold it in half, open it the fold it again",
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"timestamp": "05/05/2022 22:32:48",
"content": "I did",
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"timestamp": "05/05/2022 22:32:55",
"content": "I didnt unfold it",
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"timestamp": "05/05/2022 22:33:01",
"content": "> The commonly accepted wisdom is that you can't fold a single sheet of paper in half more than seven times",
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"timestamp": "05/05/2022 22:33:05",
"content": "I folded ontop of the fold",
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"content": "Key word, in half",
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"timestamp": "05/05/2022 22:34:04",
"content": "Bam",
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"content": "Did it again",
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"content": "8",
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"timestamp": "05/05/2022 22:34:40",
"content": "Prove it",
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"timestamp": "05/05/2022 22:34:51",
"content": "Ok",
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"timestamp": "05/05/2022 22:35:06",
"content": "Let me get a new sheet it ripped upon unfolding",
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"content": "How do i prove this",
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"timestamp": "05/05/2022 22:37:02",
"content": "How are you folding said paper?",
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"timestamp": "05/05/2022 22:37:09",
"content": "Just like you said",
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"timestamp": "05/05/2022 22:37:22",
"content": "This way",
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"timestamp": "05/05/2022 22:37:33",
"content": "Fold in half, take half, fold half in half",
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"author_name": "dldh06",
"timestamp": "05/05/2022 22:37:40",
"content": "Which way, hamburger or hotdog style?",
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"timestamp": "05/05/2022 22:37:52",
"content": "Dude idk",
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"timestamp": "05/05/2022 22:38:00",
"content": "Hotdog?",
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"timestamp": "05/05/2022 22:38:02",
"content": "Long ways?",
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"timestamp": "05/05/2022 22:38:07",
"content": "Both",
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"timestamp": "05/05/2022 22:38:07",
"content": "Or the other way?",
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"timestamp": "05/05/2022 22:38:10",
"content": "Hotdog and hamburger",
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"timestamp": "05/05/2022 22:38:51",
"content": "Dude",
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"timestamp": "05/05/2022 22:38:55",
"content": "My paper multiplied",
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"timestamp": "05/05/2022 22:39:10",
"content": "My 1 sheet became 3",
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"timestamp": "05/05/2022 22:39:30",
"content": "Probably because you accidently grabbed 3 pieces",
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"timestamp": "05/05/2022 22:39:31",
"content": "https://www.youtube.com/watch?v=Pu3UlrunmgE&ab_channel=MadScientist",
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"timestamp": "05/05/2022 22:39:39",
"content": "Fold it like the video",
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"timestamp": "05/05/2022 22:39:52",
"content": "The first 30 or so seconds is how long it is",
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"timestamp": "05/05/2022 22:40:45",
"content": "Thats how i folded it",
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"timestamp": "05/05/2022 22:40:54",
"content": "I folded it 8 times",
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"timestamp": "05/05/2022 22:41:10",
"content": "pics",
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"timestamp": "05/05/2022 22:41:13",
"content": "Then your paper is not the average A4 size paper",
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"timestamp": "05/05/2022 22:41:22",
"content": "do you have ultra thin rice paper or something",
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"timestamp": "05/05/2022 22:41:27",
"content": "Nah",
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"timestamp": "05/05/2022 22:41:30",
"content": "Its A4",
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"timestamp": "05/05/2022 22:41:31",
"content": "For sure",
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"timestamp": "05/05/2022 22:42:59",
"content": "No it's not",
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"timestamp": "05/05/2022 22:43:11",
"content": "If it was, you would max, fold it about 7 times",
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"timestamp": "05/05/2022 22:43:15",
"content": "I just had to force the last time",
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"timestamp": "05/05/2022 22:43:19",
"content": "8 times",
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"timestamp": "05/05/2022 22:43:25",
"content": "But i forced the 8th time",
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"timestamp": "05/05/2022 22:43:48",
"content": "that isn't A4 paper",
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"content": "Normal",
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"content": "Sheet",
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"timestamp": "05/05/2022 22:44:16",
"content": "Of paper",
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"id": 971965833649750000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/05/2022 22:45:12",
"content": "Then make a video of you folding it, because you definitely did not fold it 8 times",
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"id": 971965953501986800,
"author_id": 780024147245662200,
"author_name": "Luciferinoz",
"timestamp": "05/05/2022 22:45:41",
"content": "How am i supposed to hold it",
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"id": 971966024234713100,
"author_id": 780024147245662200,
"author_name": "Luciferinoz",
"timestamp": "05/05/2022 22:45:58",
"content": "I have 2 hands and i need to force the 8th time with both",
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"timestamp": "05/05/2022 22:46:22",
"content": "Prop your phone up",
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"content": "Ok",
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"author_name": "Luciferinoz",
"timestamp": "05/05/2022 22:53:11",
"content": "Wait its too big lemme shrink it",
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"author_id": 780024147245662200,
"author_name": "Luciferinoz",
"timestamp": "05/05/2022 22:56:18",
"content": "This is taking a while hold on",
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"content": "",
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"timestamp": "05/05/2022 23:03:09",
"content": "Yeah... second fold was already wrong",
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"id": 971970398860218500,
"author_id": 780024147245662200,
"author_name": "Luciferinoz",
"timestamp": "05/05/2022 23:03:21",
"content": "It was?",
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"id": 971970408385491000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/05/2022 23:03:23",
"content": "You folded it in half long ways, not the other way",
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"id": 971970442086731800,
"author_id": 780024147245662200,
"author_name": "Luciferinoz",
"timestamp": "05/05/2022 23:03:31",
"content": "Wasnt that how he folded it",
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"id": 971970491248156700,
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"timestamp": "05/05/2022 23:03:43",
"content": "Nope, not long ways",
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"id": 971970516246204400,
"author_id": 780024147245662200,
"author_name": "Luciferinoz",
"timestamp": "05/05/2022 23:03:49",
"content": "Wait nvm",
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"id": 971970536408236000,
"author_id": 780024147245662200,
"author_name": "Luciferinoz",
"timestamp": "05/05/2022 23:03:54",
"content": "I did it right the first time",
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"id": 971970555412615200,
"author_id": 780024147245662200,
"author_name": "Luciferinoz",
"timestamp": "05/05/2022 23:03:58",
"content": "I noticed my mistake",
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"id": 971970575838892000,
"author_id": 780024147245662200,
"author_name": "Luciferinoz",
"timestamp": "05/05/2022 23:04:03",
"content": "First time as in first mistske",
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"id": 971970583350902800,
"author_id": 780024147245662200,
"author_name": "Luciferinoz",
"timestamp": "05/05/2022 23:04:05",
"content": "Mistake",
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},
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"id": 971970634420744200,
"author_id": 780024147245662200,
"author_name": "Luciferinoz",
"timestamp": "05/05/2022 23:04:17",
"content": "And attempt",
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},
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"id": 971970747708883000,
"author_id": 780024147245662200,
"author_name": "Luciferinoz",
"timestamp": "05/05/2022 23:04:44",
"content": "Trying again",
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"timestamp": "05/05/2022 23:05:28",
"content": "Nvm i cant im on 2%",
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"timestamp": "05/05/2022 23:05:31",
"content": "Oh well you won",
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"timestamp": "05/05/2022 23:09:01",
"content": ".close",
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"timestamp": "05/05/2022 23:09:01",
"content": "Channel closed",
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}
] |
help-9
|
a4735e3c3a1c4f1e9152abbe2f91adda
|
199,743 |
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"id": 956539294036680800,
"author_id": 307524425748709400,
"author_name": "Boondoggle",
"timestamp": "03/24/2022 09:05:39",
"content": "So, I'm trying to figure how to isolate the negative frequency from an equation (If that's at all possible). It's in order to prove that the equation produces both postive and negative frequencies and thus a two sided spectrum. Any thoughts / suggestions?",
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"content": "@Boondoggle Has your question been resolved?",
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] |
help-9
|
0dec085d03a84bd187eee394d8baf81b
|
199,744 |
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"content": "Available help channel!",
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"timestamp": "05/05/2022 23:31:34",
"content": "Guys how do i find the length of BD wnd Angle CBD",
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"id": 971977910498001000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "05/05/2022 23:33:12",
"content": "You can work backwards from your area of a triangle formula",
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"timestamp": "05/05/2022 23:33:53",
"content": "Where $A = \\frac{1}{2}ab\\sin{\\left(C°\\right)}$",
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"timestamp": "05/05/2022 23:33:55",
"content": "**Umbraleviathan**",
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"content": "Where *a* and *b* are side lengths that make *C*",
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"content": "@Aias",
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"timestamp": "05/05/2022 23:34:46",
"content": "ok thank you very much",
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"content": ".close",
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] |
help-9
|
3f24120c02dc4456a26d0611cbe86103
|
199,745 |
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"author_name": "Eduardo291299",
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"content": "Let $N$ be any norm on $L(R^n)$. Prove that there is a constant $K$ such that $N(ST) \\leq KN(S)N(T)$ for all operators $S$, $T$.",
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] |
help-9
|
524b9a880a784aee8fa65aeb67e39198
|
199,746 |
[
{
"id": 972070246003404800,
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"timestamp": "05/06/2022 05:40:06",
"content": "Available help channel!",
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},
{
"id": 972070298377666600,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:40:19",
"content": "Hi",
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"timestamp": "05/06/2022 05:40:41",
"content": "I’ll type the thing",
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"timestamp": "05/06/2022 05:41:51",
"content": "I don’t understand it",
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"id": 972070727668875300,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:42:01",
"content": "Half of one three",
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},
{
"id": 972070748594274300,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:42:06",
"content": "Is 1.5",
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},
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"id": 972070753019260900,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:42:07",
"content": "Rigjt",
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{
"id": 972070759310704600,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:42:09",
"content": "Right",
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"id": 972070784409432200,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:42:15",
"content": "No no",
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"id": 972070796077969400,
"author_id": 909393844225835000,
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"timestamp": "05/06/2022 05:42:17",
"content": "I mean",
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"author_name": "Paris",
"timestamp": "05/06/2022 05:42:48",
"content": "7",
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"id": 972070938067763200,
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"timestamp": "05/06/2022 05:42:51",
"content": "-",
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"id": 972070942324957200,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:42:52",
"content": "3",
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"id": 972070968556138500,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:42:59",
"content": "Half of it is",
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"id": 972071066438619100,
"author_id": 909393844225835000,
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"timestamp": "05/06/2022 05:43:22",
"content": "what",
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"id": 972071208189329500,
"author_id": 767702505660088300,
"author_name": "Nilesh",
"timestamp": "05/06/2022 05:43:56",
"content": "Esy",
"attachments": [],
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"id": 972071219333582800,
"author_id": 786519677228548100,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "05/06/2022 05:43:58",
"content": "you are having trouble understanding mixed fractions?",
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"id": 972071250484670500,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:44:06",
"content": "Yeah",
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"id": 972071256373469200,
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"author_name": "Paris",
"timestamp": "05/06/2022 05:44:07",
"content": "No bc",
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},
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"id": 972071264061632500,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:44:09",
"content": "Like",
"attachments": [],
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},
{
"id": 972071282390741000,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:44:13",
"content": "I have to do half of 7",
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},
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"id": 972071289156165600,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:44:15",
"content": "-",
"attachments": [],
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},
{
"id": 972071292972961900,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:44:16",
"content": "3",
"attachments": [],
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},
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"id": 972071302762475500,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:44:18",
"content": "Not minus",
"attachments": [],
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},
{
"id": 972071336832806900,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:44:26",
"content": "But 3 under 7 fraction",
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},
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"id": 972071350606909400,
"author_id": 759318108501573600,
"author_name": "INFINITE",
"timestamp": "05/06/2022 05:44:30",
"content": "Which question",
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},
{
"id": 972071362585850000,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:44:33",
"content": "And I have to get half",
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},
{
"id": 972071379509841900,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:44:37",
"content": "",
"attachments": [
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"id": 972071391975325700,
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"author_name": "¯\\_(ツ)_/¯",
"timestamp": "05/06/2022 05:44:40",
"content": "plz \ndon't \ntype\nlike\nthis\ntype like this instead",
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"id": 972071447864426500,
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"author_name": "Paris",
"timestamp": "05/06/2022 05:44:53",
"content": "Yeah I know but I’m trying to show a fraction",
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{
"id": 972071451417010200,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:44:54",
"content": "7",
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},
{
"id": 972071454504001500,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:44:54",
"content": "-",
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"reference": null
},
{
"id": 972071461823066100,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:44:56",
"content": "3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972071535282126800,
"author_id": 786519677228548100,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "05/06/2022 05:45:14",
"content": "7/3 is not a mixed fraction",
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},
{
"id": 972071598381232100,
"author_id": 786519677228548100,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "05/06/2022 05:45:29",
"content": "you wanna do half of 7/3?",
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},
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"id": 972071618153152500,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:45:33",
"content": "Yea",
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},
{
"id": 972071674138746900,
"author_id": 786519677228548100,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "05/06/2022 05:45:47",
"content": "that will be 1/2 x 7/3",
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},
{
"id": 972071729285431300,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:46:00",
"content": "",
"attachments": [
{
"id": 972071727783882800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/972071727783882802/IMG_5331.jpg",
"fileName": "IMG_5331.jpg",
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{
"id": 972071781416448000,
"author_id": 786519677228548100,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "05/06/2022 05:46:12",
"content": "denominator gets multiplied and since numerator is 1, it doesn't change",
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"id": 972071795157008400,
"author_id": 786519677228548100,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "05/06/2022 05:46:16",
"content": "do u understand?",
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},
{
"id": 972071860122550400,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:46:31",
"content": "So",
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"reference": null
},
{
"id": 972071917580345300,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:46:45",
"content": "Answer is this",
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},
{
"id": 972071963675742200,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:46:56",
"content": "",
"attachments": [
{
"id": 972071961964458000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/972071961964458014/573F0EA1-9409-4782-9F9D-75FF641E5C4B.jpg",
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{
"id": 972072164855541800,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:47:44",
"content": "1 1\n 6",
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},
{
"id": 972072183197212700,
"author_id": 786519677228548100,
"author_name": "¯\\_(ツ)_/¯",
"timestamp": "05/06/2022 05:47:48",
"content": "⁉️ i am not able to understand what exactly you are facing difficulties in, sorry",
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"reference": null
},
{
"id": 972072207876513800,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:47:54",
"content": "Oh",
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},
{
"id": 972072316173422700,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:48:20",
"content": "",
"attachments": [
{
"id": 972072314600554500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/972072314600554526/IMG_5331.jpg",
"fileName": "IMG_5331.jpg",
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},
{
"id": 972072716280668200,
"author_id": 759318108501573600,
"author_name": "INFINITE",
"timestamp": "05/06/2022 05:49:55",
"content": "Whats your problem again",
"attachments": [],
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},
{
"id": 972072783280488400,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:50:11",
"content": "Mrs. McMercy has 2 1/3 pizzas left after Bill’s party. For supper she server 1/2 of the remaining pizzas to her family. What fractional part of the pizzas did she serve her family?",
"attachments": [],
"mentions": [],
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},
{
"id": 972072911768805400,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:50:42",
"content": "Idk",
"attachments": [],
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},
{
"id": 972072929842053100,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:50:46",
"content": "it’s a math problem",
"attachments": [],
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},
{
"id": 972073097781981200,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:51:26",
"content": "That’s the problem",
"attachments": [],
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},
{
"id": 972073101607186400,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:51:27",
"content": "Mrs. McMercy has 2 1/3 pizzas left after Bill’s party. For supper she server 1/2 of the remaining pizzas to her family. What fractional part of the pizzas did she serve her family?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972073961439514600,
"author_id": 759318108501573600,
"author_name": "INFINITE",
"timestamp": "05/06/2022 05:54:52",
"content": "1/2 of 7/3?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972074196240851000,
"author_id": 759318108501573600,
"author_name": "INFINITE",
"timestamp": "05/06/2022 05:55:48",
"content": "I dont understand the question lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972074388503539700,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:56:34",
"content": "Yea same",
"attachments": [],
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"reference": null
},
{
"id": 972074418253750300,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:56:41",
"content": "That’s why I’m asking",
"attachments": [],
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"reference": null
},
{
"id": 972074439074259000,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:56:46",
"content": "Been 16 mins",
"attachments": [],
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"reference": null
},
{
"id": 972074447978782700,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:56:48",
"content": "@Helpers",
"attachments": [],
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},
{
"id": 972074552123347000,
"author_id": 759318108501573600,
"author_name": "INFINITE",
"timestamp": "05/06/2022 05:57:13",
"content": "What is fractional part",
"attachments": [],
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},
{
"id": 972074653252206600,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:57:37",
"content": "hun?",
"attachments": [],
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},
{
"id": 972074661217181700,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:57:39",
"content": "huh*",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972074680859115500,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:57:44",
"content": "Idk",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972074974863036400,
"author_id": 759318108501573600,
"author_name": "INFINITE",
"timestamp": "05/06/2022 05:58:54",
"content": "I think it means",
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},
{
"id": 972075001027133400,
"author_id": 759318108501573600,
"author_name": "INFINITE",
"timestamp": "05/06/2022 05:59:00",
"content": "1/2 of 7/3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972075052730310700,
"author_id": 759318108501573600,
"author_name": "INFINITE",
"timestamp": "05/06/2022 05:59:12",
"content": "1/2 ÷ 7/3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972075202479525900,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 05:59:48",
"content": "yea it does",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972075218459848700,
"author_id": 759318108501573600,
"author_name": "INFINITE",
"timestamp": "05/06/2022 05:59:52",
"content": "1/2 x 3/7",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972075295916048400,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 06:00:10",
"content": "It doesn’t have a half it’s a prime number",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972075311653089300,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 06:00:14",
"content": "2 prime numbers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972075429957632100,
"author_id": 759318108501573600,
"author_name": "INFINITE",
"timestamp": "05/06/2022 06:00:42",
"content": "Huh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972075574799523800,
"author_id": 759318108501573600,
"author_name": "INFINITE",
"timestamp": "05/06/2022 06:01:17",
"content": "Idk man, you can ask Mrs,McMercy",
"attachments": [],
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},
{
"id": 972075602528067600,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 06:01:23",
"content": "bro idk who that is",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972075610832797700,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 06:01:25",
"content": "💀",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972075613772996600,
"author_id": 759318108501573600,
"author_name": "INFINITE",
"timestamp": "05/06/2022 06:01:26",
"content": "Or Bill",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972075669678870500,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 06:01:39",
"content": "Fockmey",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972075696958603300,
"author_id": 759318108501573600,
"author_name": "INFINITE",
"timestamp": "05/06/2022 06:01:46",
"content": "Is there answer at the back",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972075754311520300,
"author_id": 759318108501573600,
"author_name": "INFINITE",
"timestamp": "05/06/2022 06:02:00",
"content": "That looks like a book",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972075833801969700,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 06:02:19",
"content": "No there isn’t",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972075844103184400,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 06:02:21",
"content": "It is a book",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972075928853307400,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 06:02:41",
"content": "It’s a book and once I finish I have to start a test",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972076829919834100,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 06:06:16",
"content": "I have another problem",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972076848630599700,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 06:06:21",
"content": "If a decimal for example is",
"attachments": [],
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},
{
"id": 972076858810171400,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 06:06:23",
"content": "0.02",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972076872768843800,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 06:06:26",
"content": "To make it equal",
"attachments": [],
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"reference": null
},
{
"id": 972076903085273100,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 06:06:34",
"content": "To one",
"attachments": [],
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},
{
"id": 972076924002242600,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 06:06:38",
"content": "In the thousands",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972076959989375000,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 06:06:47",
"content": "I need to put a 0 behind it right",
"attachments": [],
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"reference": null
},
{
"id": 972076968927436800,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 06:06:49",
"content": "Like this",
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"content": "0.02 = 0.020",
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"timestamp": "05/06/2022 06:06:59",
"content": "Or no",
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"content": "Is",
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"content": "0.02 equal to 0.020",
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"timestamp": "05/06/2022 06:36:32",
"content": "@Paris Has your question been resolved?",
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"author_name": "Paris",
"timestamp": "05/06/2022 06:36:47",
"content": "Mrs. McMercy has 2 1/3 pizzas left after Bill’s party. For supper she server 1/2 of the remaining pizzas to her family. What fractional part of the pizzas did she serve her family?",
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"timestamp": "05/06/2022 06:41:24",
"content": "so you just want half of 7/3",
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"timestamp": "05/06/2022 06:41:30",
"content": "Yep",
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"timestamp": "05/06/2022 06:41:57",
"content": "just multiply what's the issue",
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"content": "Multiply what",
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"timestamp": "05/06/2022 06:42:41",
"content": "1/2 by 7/3",
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"author_name": "Ramady",
"timestamp": "05/06/2022 06:43:00",
"content": "does that make sense?",
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"id": 972086146463051800,
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"author_name": "Paris",
"timestamp": "05/06/2022 06:43:17",
"content": "Yea",
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"id": 972086201081299000,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 06:43:30",
"content": "But it’s an improper fraction then",
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"id": 972086339988254700,
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"author_name": "Ramady",
"timestamp": "05/06/2022 06:44:03",
"content": "tern it into a proper one",
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"id": 972086389971779600,
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"author_name": "Paris",
"timestamp": "05/06/2022 06:44:15",
"content": "ok",
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"id": 972086401459966000,
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"author_name": "Paris",
"timestamp": "05/06/2022 06:44:18",
"content": "But then it will be",
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"timestamp": "05/06/2022 06:44:22",
"content": "A mixed number",
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"author_name": "Ramady",
"timestamp": "05/06/2022 06:44:38",
"content": "and what's that?",
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"author_name": "Ramady",
"timestamp": "05/06/2022 06:46:42",
"content": "if you multiply them you will get 7/6 right?",
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"timestamp": "05/06/2022 06:47:14",
"content": "you could just tern it into 1 1/6",
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"id": 972087206053298200,
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"author_name": "Ramady",
"timestamp": "05/06/2022 06:47:30",
"content": "both of them are right btw",
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"id": 972087361913647100,
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"timestamp": "05/06/2022 06:48:07",
"content": "so what's the issue i don't see it",
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"timestamp": "05/06/2022 07:14:23",
"content": "@Paris Has your question been resolved?",
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"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "05/06/2022 08:00:47",
"content": "what are you having trouble with?",
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"author_name": "Deol",
"timestamp": "05/06/2022 08:01:17",
"content": "@Paris",
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"content": "",
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"author_name": "Deol",
"timestamp": "05/06/2022 08:02:19",
"content": "you know how to turn mixed fractions into improper ones",
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"id": 972106051161833500,
"author_id": 733585715673432200,
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"timestamp": "05/06/2022 08:02:23",
"content": "??",
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"id": 972106141414862800,
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"author_name": "Paris",
"timestamp": "05/06/2022 08:02:44",
"content": "yes",
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"timestamp": "05/06/2022 08:02:55",
"content": "I got",
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"author_name": "Paris",
"timestamp": "05/06/2022 08:02:58",
"content": "7/3",
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"id": 972106272944054300,
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"author_name": "Deol",
"timestamp": "05/06/2022 08:03:16",
"content": "yes",
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"id": 972106330871570400,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "05/06/2022 08:03:30",
"content": "so she served half of 7/3",
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"id": 972106337838305300,
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"author_name": "Deol",
"timestamp": "05/06/2022 08:03:31",
"content": "yes",
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"id": 972106366527352800,
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"timestamp": "05/06/2022 08:03:38",
"content": "yeah",
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"id": 972106386278334500,
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"author_name": "Paris",
"timestamp": "05/06/2022 08:03:43",
"content": "but what is the half of 7/3",
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"id": 972106413625208800,
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"author_name": "Paris",
"timestamp": "05/06/2022 08:03:49",
"content": "It has 2 prime numbers",
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"id": 972106658564165600,
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"author_name": "Deol",
"timestamp": "05/06/2022 08:04:48",
"content": "$\\frac{1}{2}of \\frac{7}{3}=\\frac{1}{2} \\times \\frac{7}{3}$",
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"id": 972106670740230100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/06/2022 08:04:51",
"content": "**Deol**",
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"author_name": "Deol",
"timestamp": "05/06/2022 08:05:05",
"content": "can you multiply this?",
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"author_name": "Deol",
"timestamp": "05/06/2022 08:05:14",
"content": "so?",
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"timestamp": "05/06/2022 08:05:22",
"content": "Yea",
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"author_name": "Deol",
"timestamp": "05/06/2022 08:05:35",
"content": "it will still be the same fraction",
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"timestamp": "05/06/2022 08:05:39",
"content": "say",
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"id": 972106882980393100,
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"author_name": "Deol",
"timestamp": "05/06/2022 08:05:41",
"content": "you have",
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"id": 972106903796736000,
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"author_name": "Paris",
"timestamp": "05/06/2022 08:05:46",
"content": "yeah it will still be improper",
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"id": 972106953851551700,
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"author_name": "Deol",
"timestamp": "05/06/2022 08:05:58",
"content": "$\\frac{3}{7}$",
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"id": 972106966421868500,
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"timestamp": "05/06/2022 08:06:01",
"content": "**Deol**",
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"timestamp": "05/06/2022 08:06:08",
"content": "say you have this",
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"id": 972107002484510700,
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"timestamp": "05/06/2022 08:06:10",
"content": "then",
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"id": 972107007643508700,
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"author_name": "Paris",
"timestamp": "05/06/2022 08:06:11",
"content": "I don’t",
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"id": 972107021509861500,
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"author_name": "Paris",
"timestamp": "05/06/2022 08:06:14",
"content": "I have 7 over 3",
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"id": 972107029453885400,
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"timestamp": "05/06/2022 08:06:16",
"content": "say",
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"author_name": "Deol",
"timestamp": "05/06/2022 08:06:25",
"content": "i am trying to give an example",
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"timestamp": "05/06/2022 08:06:48",
"content": "solve this",
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"timestamp": "05/06/2022 08:06:58",
"content": "7/6",
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"timestamp": "05/06/2022 08:07:19",
"content": "thats your answer",
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"id": 972107325215240300,
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"timestamp": "05/06/2022 08:07:27",
"content": "Ah",
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"id": 972107335017308200,
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"author_name": "Paris",
"timestamp": "05/06/2022 08:07:29",
"content": "Okay thank u",
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"id": 972107373994983400,
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"author_name": "Deol",
"timestamp": "05/06/2022 08:07:38",
"content": "do you get it?",
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"author_name": "Paris",
"timestamp": "05/06/2022 08:07:49",
"content": "yea",
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"author_name": "Paris",
"timestamp": "05/06/2022 08:07:55",
"content": "Cheers moit",
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"timestamp": "05/06/2022 08:08:03",
"content": "",
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"author_name": "Paris",
"timestamp": "05/06/2022 08:08:07",
"content": "Btw I wasn’t trolling",
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"id": 972107512696422400,
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"timestamp": "05/06/2022 08:08:11",
"content": "if u think I was",
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"id": 972107528265670800,
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"author_name": "Paris",
"timestamp": "05/06/2022 08:08:15",
"content": "ok thank u",
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"id": 972107538864701600,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 08:08:18",
"content": "Have a good day",
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"id": 972107545827217400,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 08:08:19",
"content": "Close",
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"id": 972107564756127700,
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"author_name": "Paris",
"timestamp": "05/06/2022 08:08:24",
"content": "@TeXit",
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"id": 972107572209397800,
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"timestamp": "05/06/2022 08:08:26",
"content": "Close",
"attachments": [],
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},
{
"id": 972107585438228500,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 08:08:29",
"content": "/close",
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},
{
"id": 972107593084440600,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 08:08:31",
"content": ";close",
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},
{
"id": 972107627725197300,
"author_id": 909393844225835000,
"author_name": "Paris",
"timestamp": "05/06/2022 08:08:39",
"content": "Imma go buy soy sauce",
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"id": 972107662101729400,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "05/06/2022 08:08:47",
"content": "try this",
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},
{
"id": 972107673690587100,
"author_id": 733585715673432200,
"author_name": "Deol",
"timestamp": "05/06/2022 08:08:50",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 972122728314314900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/06/2022 09:08:39",
"content": "@Paris Has your question been resolved?",
"attachments": [],
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"timestamp": "05/06/2022 09:49:47",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
6fd871af1b614d6394457337c9622757
|
199,747 |
[
{
"id": 972133330873090200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/06/2022 09:50:47",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972135604458504300,
"author_id": 219216037520998400,
"author_name": "Neko",
"timestamp": "05/06/2022 09:59:49",
"content": "what would the 1 and 2 under the ``f'`` signify?",
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{
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"content": "Pinned a message.",
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"id": 972135805147557900,
"author_id": 219216037520998400,
"author_name": "Neko",
"timestamp": "05/06/2022 10:00:37",
"content": "I had assumed they were meant to stand in for ``x+y`` and ``xy`` respectively",
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},
{
"id": 972135907295629400,
"author_id": 245091211486953470,
"author_name": "1345631",
"timestamp": "05/06/2022 10:01:01",
"content": "f'_1 means differentiation wrt 1st variable (x+y)\nf'_2 means differentiation wrt 2nd variable (xy)",
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},
{
"id": 972136144173158400,
"author_id": 219216037520998400,
"author_name": "Neko",
"timestamp": "05/06/2022 10:01:58",
"content": "oh so it's for each variable alright :thinkingbread:",
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},
{
"id": 972136144768745600,
"author_id": 788306960432889900,
"author_name": "wMart",
"timestamp": "05/06/2022 10:01:58",
"content": "it’s not 12",
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},
{
"id": 972136229787287600,
"author_id": 219216037520998400,
"author_name": "Neko",
"timestamp": "05/06/2022 10:02:18",
"content": "ok yeah it makes sense now",
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},
{
"id": 972136269448630300,
"author_id": 788306960432889900,
"author_name": "wMart",
"timestamp": "05/06/2022 10:02:28",
"content": "wtf",
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},
{
"id": 972136307725848700,
"author_id": 219216037520998400,
"author_name": "Neko",
"timestamp": "05/06/2022 10:02:37",
"content": "_what am I witnessing_",
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},
{
"id": 972136480908665000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/06/2022 10:03:18",
"content": "#❓how-to-get-help",
"attachments": [],
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"id": 972136506032545800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/06/2022 10:03:24",
"content": "Don't ask in an occupied channel",
"attachments": [],
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},
{
"id": 972136598223351800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/06/2022 10:03:46",
"content": "No don't have time",
"attachments": [],
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},
{
"id": 972136653302948000,
"author_id": 219216037520998400,
"author_name": "Neko",
"timestamp": "05/06/2022 10:03:59",
"content": "Err Imma just close this",
"attachments": [],
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"reference": null
},
{
"id": 972136657967001600,
"author_id": 219216037520998400,
"author_name": "Neko",
"timestamp": "05/06/2022 10:04:00",
"content": ".close",
"attachments": [],
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},
{
"id": 972136659539886100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/06/2022 10:04:01",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
0b5653b85f4044c88f833b85c189499d
|
199,748 |
[
{
"id": 972136728137711600,
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"author_name": "Quill",
"timestamp": "05/06/2022 10:04:17",
"content": "...",
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},
{
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/06/2022 10:04:20",
"content": "Open your own channel",
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/06/2022 10:04:25",
"content": "Read #❓how-to-get-help",
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"reference": null
},
{
"id": 972136914205413400,
"author_id": 219216037520998400,
"author_name": "Neko",
"timestamp": "05/06/2022 10:05:01",
"content": "@Moderators",
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},
{
"id": 972136919242788900,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/06/2022 10:05:02",
"content": "@Moderators Not sure what this user is doing",
"attachments": [],
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"reference": null
},
{
"id": 972136950343553200,
"author_id": 219216037520998400,
"author_name": "Neko",
"timestamp": "05/06/2022 10:05:10",
"content": "_sorry fo ping but what the hell is happening_",
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"reference": null
},
{
"id": 972137003527307300,
"author_id": 879644654587478000,
"author_name": "Swastik",
"timestamp": "05/06/2022 10:05:23",
"content": "nothing",
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"id": 972137055155011600,
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"author_name": "Swastik",
"timestamp": "05/06/2022 10:05:35",
"content": "just typing random code",
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},
{
"id": 972137076889903100,
"author_id": 908748947626008700,
"author_name": "Math_Helper",
"timestamp": "05/06/2022 10:05:40",
"content": "just printing...",
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},
{
"id": 972137114064003100,
"author_id": 879644654587478000,
"author_name": "Swastik",
"timestamp": "05/06/2022 10:05:49",
"content": "discord doesn't execute any code afterall 💀",
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},
{
"id": 972137144489492500,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "05/06/2022 10:05:56",
"content": "I'm not talking about code, I'm saying in general",
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},
{
"id": 972137173514092500,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "05/06/2022 10:06:03",
"content": "dealt with",
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},
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"id": 972137295887098000,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "05/06/2022 10:06:32",
"content": "sorry for that @Neko , feel free to reopen if you'd like (and repost your question)",
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"content": ".clos",
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"id": 972137305794052100,
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"timestamp": "05/06/2022 10:06:35",
"content": ".close",
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},
{
"id": 972137344637489300,
"author_id": 219216037520998400,
"author_name": "Neko",
"timestamp": "05/06/2022 10:06:44",
"content": "It's alright I got the answer I needed but",
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{
"id": 972137370730262700,
"author_id": 219216037520998400,
"author_name": "Neko",
"timestamp": "05/06/2022 10:06:50",
"content": "I can't seem to close this?",
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"id": 972137385200586800,
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"author_name": "Namington",
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"content": ".close",
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},
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"id": 972137425042292700,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "05/06/2022 10:07:03",
"content": "seems its already closing",
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"id": 972137435867787400,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "05/06/2022 10:07:06",
"content": "just give it time",
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},
{
"id": 972137446626185300,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "05/06/2022 10:07:08",
"content": "the bot is rate limited",
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"id": 972137470005231600,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "05/06/2022 10:07:14",
"content": "so sometimes its delayed",
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},
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"timestamp": "05/06/2022 10:07:15",
"content": "okay okay. That should be all o7",
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"timestamp": "05/06/2022 10:09:51",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 972142344478523400,
"author_id": 369965690305773600,
"author_name": "Mxyko",
"timestamp": "05/06/2022 10:26:36",
"content": "does anyone know where i went wrong in the equation",
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"timestamp": "05/06/2022 10:26:37",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 972142556815196300,
"author_id": 369965690305773600,
"author_name": "Mxyko",
"timestamp": "05/06/2022 10:27:27",
"content": "im supposed to find the minimum of the function i made for the labourers but if it take the derivative, theres no more x value",
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{
"id": 972142693662752800,
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"author_name": "Mxyko",
"timestamp": "05/06/2022 10:27:59",
"content": "also i forgot to write that it takes 40 hrs for one labourer to fill the truck\nmeaning the time it takes would be 40/x",
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"timestamp": "05/06/2022 10:42:59",
"content": "@Mxyko Has your question been resolved?",
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"id": 972146561272401900,
"author_id": 369965690305773600,
"author_name": "Mxyko",
"timestamp": "05/06/2022 10:43:21",
"content": "@Helpers",
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},
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"id": 972154112030425100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/06/2022 11:13:22",
"content": "@Mxyko Has your question been resolved?",
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"author_name": "Math_Helper",
"timestamp": "05/06/2022 11:41:00",
"content": "wdym no more x? you should get -1600/x^2+5=0 -> x=8sqrt(5) x=-8sqrt(5), x=8sqrt(5) will be the minimum when x>0 so x approx = 17,888 and your x must be a natural number so you check 17 and 18",
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"timestamp": "05/06/2022 11:43:22",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
e2ad4651cfb64e3ba7fa221b094bc117
|
199,749 |
[
{
"id": 972165712653201500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/06/2022 11:59:27",
"content": "Available help channel!",
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"reference": null
},
{
"id": 972165837681221600,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/06/2022 11:59:57",
"content": "hi",
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},
{
"id": 972165839920980100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/06/2022 11:59:58",
"content": "Pinned a message.",
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},
{
"id": 972165849710473200,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/06/2022 12:00:00",
"content": "can anyone help with this",
"attachments": [],
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},
{
"id": 972165854840111100,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/06/2022 12:00:01",
"content": "",
"attachments": [
{
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{
"id": 972166561093808100,
"author_id": 866906487535435800,
"author_name": "Damnatio Odiosis",
"timestamp": "05/06/2022 12:02:50",
"content": "that looks like the triangle proportionality theorem",
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},
{
"id": 972166690261590000,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/06/2022 12:03:20",
"content": "yeah but how do we get cd/de",
"attachments": [],
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},
{
"id": 972166728375218200,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/06/2022 12:03:30",
"content": "i knwo cd /ce is 19/31",
"attachments": [],
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},
{
"id": 972166765956198400,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/06/2022 12:03:38",
"content": "but how can i get de",
"attachments": [],
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"reference": null
},
{
"id": 972166846293876700,
"author_id": 866906487535435800,
"author_name": "Damnatio Odiosis",
"timestamp": "05/06/2022 12:03:58",
"content": "ok so since ce = cd + de, \n31 = 19 + de\nde = 12",
"attachments": [],
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},
{
"id": 972166882130022400,
"author_id": 866906487535435800,
"author_name": "Damnatio Odiosis",
"timestamp": "05/06/2022 12:04:06",
"content": "conclusion: cd/de = 19/12",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972166912794562600,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/06/2022 12:04:13",
"content": "oh",
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},
{
"id": 972166922844119200,
"author_id": 349093430762274800,
"author_name": "Maxaco",
"timestamp": "05/06/2022 12:04:16",
"content": "okay thanks xD",
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},
{
"id": 972166946873294800,
"author_id": 866906487535435800,
"author_name": "Damnatio Odiosis",
"timestamp": "05/06/2022 12:04:22",
"content": "wlcm",
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},
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"author_name": "Mathematics Bot",
"timestamp": "05/06/2022 12:19:16",
"content": "@Maxaco Has your question been resolved?",
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"id": 972174474386493600,
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"author_name": "Mathematics Bot",
"timestamp": "05/06/2022 12:34:16",
"content": "Channel closed",
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}
] |
help-9
|
63cd0aded68240f18a864d907fcc8eda
|
199,750 |
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"timestamp": "05/06/2022 12:35:17",
"content": "Available help channel!",
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},
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"id": 972177178819199000,
"author_id": 692829853757604000,
"author_name": "sheesma",
"timestamp": "05/06/2022 12:45:01",
"content": "Hi can Someone explain how we do this exercice please ? (Its on french but i think these are transparent word)",
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"timestamp": "05/06/2022 13:00:01",
"content": "@sheesma Has your question been resolved?",
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"content": "@sheesma Has your question been resolved?",
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"content": "@sheesma Has your question been resolved?",
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"timestamp": "05/06/2022 15:13:29",
"content": ".close",
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] |
help-9
|
29c951df0e564a6f9bb815b676fa6249
|
199,751 |
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"id": 972214796705468400,
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"author_name": "Mathematics Bot",
"timestamp": "05/06/2022 15:14:30",
"content": "Available help channel!",
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"id": 972215184502452400,
"author_id": 401382766756888600,
"author_name": "Rœmer",
"timestamp": "05/06/2022 15:16:02",
"content": "what does conditioning on N mean?",
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"content": "Pinned a message.",
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"author_name": "Rœmer",
"timestamp": "05/06/2022 15:16:10",
"content": "what should I do?",
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"timestamp": "05/06/2022 15:16:32",
"content": "i don't know what kind of distribution N has",
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"content": "The left side simplifies nicely",
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"timestamp": "05/06/2022 15:25:05",
"content": "Remember that E is linear",
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"timestamp": "05/06/2022 15:29:25",
"content": "They didn't mention whether $X_1, X_2, ..., X_n$ are independent random variables, which complicates matters greatly.. or maybe we should just assume that, because otherwise a covariance term appears",
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"timestamp": "05/06/2022 15:29:28",
"content": "**AimaneSN**",
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"content": "i think this may be assumed",
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"content": "we haven't dealt with covariance yet",
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"timestamp": "05/06/2022 15:30:50",
"content": "but this is my main question",
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"content": "idk what that means",
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"timestamp": "05/06/2022 15:31:25",
"content": "I'm not really sure either!",
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"content": "Doesn't seem to be necessary",
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"timestamp": "05/06/2022 15:32:20",
"content": "conditioning on N means that N is not treated as a random variable I think.",
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"timestamp": "05/06/2022 15:32:39",
"content": "as if we fix a particular value of it, say {N=n}",
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"timestamp": "05/06/2022 15:32:54",
"content": "the chapter is mainly about different types of distribution (bernoulli, binomial, geometric) etc so i figured i had to use that somewhere",
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"timestamp": "05/06/2022 15:32:54",
"content": "yeah maybe linearity is enough here",
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"timestamp": "05/06/2022 15:34:26",
"content": "left side just simplifies to $N\\mu$ right ? as the means are the separate expected values",
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"timestamp": "05/06/2022 15:34:29",
"content": "**Rœmer**",
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"timestamp": "05/06/2022 15:36:11",
"content": "yeah it would simplify, but this looks too easy. maybe we should instead calculate the conditional expectation $\\mathbb{E} (\\sum_{k=1}^{N}X_k | N=m)$ for all m",
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"timestamp": "05/06/2022 15:36:57",
"content": "that seems more likely",
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"timestamp": "05/06/2022 15:37:01",
"content": "**AimaneSN**",
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"timestamp": "05/06/2022 15:37:23",
"content": "yeah it should be what they're asking for",
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"timestamp": "05/06/2022 15:38:27",
"content": "What's Nμ? How do you multiply a distribution by a number?",
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"timestamp": "05/06/2022 15:38:49",
"content": "mu was the mean of all X",
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"timestamp": "05/06/2022 15:39:17",
"content": "oh i see what you mean",
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"timestamp": "05/06/2022 15:40:02",
"content": "wait, they indexed the last X in the sum as N aswell",
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"timestamp": "05/06/2022 15:40:11",
"content": "that's a mistake on their part right?",
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"timestamp": "05/06/2022 15:48:42",
"content": "Basically $N$ is a random variable, and non-negative. If $N = 0$, the sum $S \\coloneqq X_1 + ... + X_N$ is defined to be zero. This sum is called a random sum. We want the expectation of $S=\\sum_{i=1}^N X_i$. We will condition on $N$, meaning we take $N$ as known. It's similar to a question you did earlier on conditioning. We write $$\\mathbb{E}(S|N=n)=\\mathbb{E}(\\sum_{i=1}^N X_i|N=n).$$\n\n$$\\mathbb{E}(\\sum_{i=1}^n X_i|N=n)= \\mathbb{E}(\\sum_{i=1}^n X_i) = \\sum_{i=1}^n \\mathbb{E}(X_i) = n \\mu.$$\nWe simply make use of conditioning, and the linearity of expectation. There is no need to assume independence, and there is no complication from this. Covariance only appears when considering variance, not expectation. Now, we have $$\\mathbb{E}(\\sum_{i=1}^N X_i)= N\\mu.$$\n\nNow, by the tower law, we have $\\mathbb{E}(S)=\\mathbb{E}(\\mathbb{E}(S|N)) = \\mathbb{E}(N) \\mu$",
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"timestamp": "05/06/2022 15:50:30",
"content": "**1345631**",
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"timestamp": "05/06/2022 15:50:41",
"content": "That's not a mistake. That's the point. The point is that the sum is random",
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"timestamp": "05/06/2022 15:50:57",
"content": "isn't $\\mathbb{E}(\\sum_{i=1}^n X_i |N=n) = \\sum_{i=1}^n \\mathbb{E}(X_i) $ only true if $X_i$ and $N$ are independent for all $i$?",
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"timestamp": "05/06/2022 15:51:21",
"content": "No. Independence is **not** required.",
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"timestamp": "05/06/2022 15:52:01",
"content": "**Rœmer**",
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"timestamp": "05/06/2022 15:53:28",
"content": "You actually need independence when you applied the tower law",
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"timestamp": "05/06/2022 15:53:37",
"content": "No you don't",
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"content": "how though? If we assume $X_i$ and $N$ are dependent for at least one $i $\\in \\mathbb{N}$, say $i = i_k$ then $\\mathbb{E}(X_{i_k} |N=n)$ can be different right??",
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"timestamp": "05/06/2022 15:54:43",
"content": "**Rœmer**\nCompile Error! Click the :errors: reaction for more information.\n(You may edit your message to recompile.)",
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"timestamp": "05/06/2022 15:54:56",
"content": "No.",
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"timestamp": "05/06/2022 15:55:32",
"content": "I suggest you reread the first line. It says each X_i has mean mu",
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"timestamp": "05/06/2022 15:56:02",
"content": "oh yeah that makes sense now",
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"timestamp": "05/06/2022 15:57:46",
"content": "The equality $\\mathbb{E}(\\mathbb{E}(S|N))=\\mathbb{E}(N\\mathbb{E}(X_i))=\\mathbb{E}(N) \\cdot \\mu$ requires independence between $N$ and $X_i$",
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"timestamp": "05/06/2022 15:57:49",
"content": "**AimaneSN**",
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"timestamp": "05/06/2022 15:58:07",
"content": "No it doesn't",
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"timestamp": "05/06/2022 15:58:13",
"content": "I suggest you reread a statement of the tower law",
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"timestamp": "05/06/2022 15:58:40",
"content": "Oh not the tower law sorry, but after that",
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"content": "when take out N from the expectation, the expectation of a product of random variables",
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"content": "$\\mathbb{E}(X_i)$ is a number, $\\mu$. It is simply taking out a constant, by linearity of expectation",
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"content": "**1345631**",
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"content": "Ah you're right, but still I am sure I encountered the independence condition before",
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"content": "not sure where",
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"content": "and what about $$\\mathbb{E}(\\sum_{i=1}^n Xi|N=n)= \\mathbb{E}(\\sum_{i=1}^n X_i) $$ ?",
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"content": "why do we get rid of expectation if they're not independent",
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"content": "**AimaneSN**",
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"content": "That's simply because we've already made use of the conditioning",
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"content": "he said because the mean of all $X_i$ is $\\mu$ regardless of N",
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"content": "**Rœmer**",
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"content": "We know N=n, so the sum has n terms",
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"content": "and also the N is given to be independent of X_i",
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"content": "Ah I see, I have the same kind of sum in one of the courses I took, and our teacher wrote the following demo",
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"content": "[the X_i's themselves aren't independent of each other though]",
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"content": "notice that he uses the expectation to replace N by n and yet keeps it",
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"content": "but not sure he's right",
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"content": "oh, it's french. I'm not sure what yo mean by keeps it. He changes E(B_i|N=m) to E(B_j)",
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"content": "In that line he makes use of the independence of the X_i from N",
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"content": "yeah that was why I said it was required",
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"content": "That's the only part where independence is used. Note that the X_i are independent from N, but not necessarily from each other",
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"content": "but not sure really",
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"content": "Yes, the X_i should be independent of the N, but not necessarily of each other",
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"content": "yeah it doesn't seem we need their pairwise independence",
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"content": "yes. btw \\@op, this relation has an easy to understand meaning: basically \n- E(N) is the expected number of terms in the sum\n- mu is the expected value of each term in the sum. \n- So the product is the expected value of the sum",
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"content": "yeah that's clear now, but the conditioning stuff was just confusing to me",
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"content": "thanks for the help guys, you're great",
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|
199,752 |
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help-9
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7c43a34c480d402baf23d292e58cfa95
|
199,753 |
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"author_name": "99Overall",
"timestamp": "05/06/2022 17:00:11",
"content": "Here is my work did I approach it correctly?",
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"timestamp": "05/06/2022 17:11:29",
"content": "👍",
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"content": "Max should be 15 tho",
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"author_name": "Rylo",
"timestamp": "05/06/2022 17:12:06",
"content": "the multipliers thing",
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"content": "lagrange multipliers",
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"content": "25-10=15",
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"timestamp": "05/06/2022 17:12:21",
"content": "Lmao",
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"timestamp": "05/06/2022 17:13:07",
"content": "At $4x = \\lambda 2x$",
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"timestamp": "05/06/2022 17:13:10",
"content": "**Heavy**",
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"content": "Does lambda = 2 here",
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"timestamp": "05/06/2022 17:13:34",
"content": "Yeah don't divide",
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"timestamp": "05/06/2022 17:13:39",
"content": "Subtract and factor",
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"timestamp": "05/06/2022 17:14:12",
"content": "4x - λ2x = 0\n2x(2- λ) = 0",
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"timestamp": "05/06/2022 17:14:25",
"content": "x=0\nOR\nλ = 2",
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"timestamp": "05/06/2022 17:14:43",
"content": "ok so when i do that i get max is 34",
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"content": "@99Overall Has your question been resolved?",
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help-9
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4cbe10988d7347c0ad667f52a763320b
|
199,754 |
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"content": "i dont understand how the upper part changes and the plus 2 comes from. i only manage to transform the bottom part",
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"content": "they did something like polynomial long division",
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"id": 956566560187744300,
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"author_name": "themateo713",
"timestamp": "03/24/2022 10:54:00",
"content": "Sort of polynomial division. If we note D(x) the denominator polynomial, they rewrote the numerator as 2D(x) + (the rest) and got rid of the 2. This allows the numerator to be one degree lower",
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"content": "oh ok thanks",
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f3298500b9ef414596059e75caa9dcad
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199,755 |
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"timestamp": "05/06/2022 17:50:41",
"content": "Pinned a message.",
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"timestamp": "05/06/2022 17:50:42",
"content": "Hi. I am trying to solve this limit question\nI tried to use the L'hopital rule, but I ended up getting more complicated formula that I can't calculate.",
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"timestamp": "05/06/2022 17:51:19",
"content": "can any simplification be done before using L'hopital's rule in this case?",
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"author_name": "riemann",
"timestamp": "05/06/2022 17:51:27",
"content": "Try y = e^x",
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"timestamp": "05/06/2022 17:53:03",
"content": "sorry, but I don't see either y or e^x in this question...",
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"author_name": "meow meow meow",
"timestamp": "05/06/2022 17:56:23",
"content": "according to fundamental theorem of engineering sin(x) = x\ntherefore lim{x->0+} ln(x)^2/ln(x) = lim{x->0+} ln(x) = -infinity",
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"timestamp": "05/06/2022 17:56:59",
"content": "this technically works so long as you justify that lim{x->0+} ln(sin(x))/ln(x) = 1",
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"author_name": "meow meow meow",
"timestamp": "05/06/2022 17:57:12",
"content": "which isn’t that hard",
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"author_name": "PReiZ",
"timestamp": "05/06/2022 17:57:26",
"content": "wait, ohhh because sin x and x become similar as x-> 0?",
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"timestamp": "05/06/2022 17:57:39",
"content": "yes",
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"author_name": "meow meow meow",
"timestamp": "05/06/2022 17:58:06",
"content": "ln(x)^2/ln(sin(x)) = ln(x)^2/ln(x) * ln(x)/ln(sin(x))",
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"timestamp": "05/06/2022 17:58:10",
"content": "this textbook haven't covered about fundamental theorem of engineering tho.. wonder if this is only method",
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"author_name": "meow meow meow",
"timestamp": "05/06/2022 17:58:26",
"content": "fundamental theorem of engineering sin(x) = x was a joke",
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"author_name": "PReiZ",
"timestamp": "05/06/2022 17:58:27",
"content": "the question is asking to use L'hopital rule specifically",
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"author_name": "meow meow meow",
"timestamp": "05/06/2022 17:58:31",
"content": "but the method is true",
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"author_name": "PReiZ",
"timestamp": "05/06/2022 17:58:46",
"content": "we haven't used L'hopital rule",
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"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/06/2022 17:58:50",
"content": "you just split the limit by multiplication",
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"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/06/2022 17:58:59",
"content": "using basic limit rules",
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"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/06/2022 17:59:16",
"content": "then l’hopital the easier ln(x)/ln(sin(x))",
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"timestamp": "05/06/2022 18:00:40",
"content": "which is 1/x*cot(x) when used l'hopital",
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"author_name": "PReiZ",
"timestamp": "05/06/2022 18:01:11",
"content": "but if i sub in 0 in there i get 0 * infinity in denominator",
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"content": "",
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"author_name": "meow meow meow",
"timestamp": "05/06/2022 18:02:14",
"content": "which is then tan(x)/x",
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"timestamp": "05/06/2022 18:02:23",
"content": "= sin(x)/xcos(x)",
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"timestamp": "05/06/2022 18:02:26",
"content": "cos(0) = 1",
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"author_name": "meow meow meow",
"timestamp": "05/06/2022 18:02:29",
"content": "thus sin(x)/x",
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"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/06/2022 18:02:41",
"content": "l’hopital again to get cos(x)/1",
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"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/06/2022 18:02:46",
"content": "= cos(0) = 1",
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"id": 972257212217053200,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/06/2022 18:03:03",
"content": "thus we are left with lim_{x to 0+} ln(x) * 1",
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"author_name": "PReiZ",
"timestamp": "05/06/2022 18:03:16",
"content": "oh, so if one of the term is approaching 1, can i just remove that from the limit equation?",
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"author_id": 407382812518383600,
"author_name": "PReiZ",
"timestamp": "05/06/2022 18:03:27",
"content": "like cos(x) as x->0",
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"id": 972257345944027100,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/06/2022 18:03:34",
"content": "you can separate a product from a limit so long as it converges",
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"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/06/2022 18:03:46",
"content": "according to limit rules",
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"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/06/2022 18:04:58",
"content": "if it diverges though (like a lim of form 0 * inf) then you can’t separate",
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"id": 972257758319624200,
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"author_name": "PReiZ",
"timestamp": "05/06/2022 18:05:13",
"content": "yep",
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"id": 972257792624836600,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/06/2022 18:05:21",
"content": "because you can never be in a case where one of the limits in an expression diverges or the entire thing is undefined",
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"author_name": "meow meow meow",
"timestamp": "05/06/2022 18:05:53",
"content": "even lim{x -> inf} x + lim{x -> inf} -x is not allowed",
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"id": 972258011701710800,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/06/2022 18:06:13",
"content": "as at least one (both) diverge thus that expression is undefined",
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"timestamp": "05/06/2022 18:06:25",
"content": "okay I perfectly understand now",
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"author_name": "PReiZ",
"timestamp": "05/06/2022 18:06:29",
"content": "thank you very much!",
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"id": 972258107319283700,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/06/2022 18:06:36",
"content": "👍 no problem",
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"id": 972258124788559900,
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"author_name": "PReiZ",
"timestamp": "05/06/2022 18:06:40",
"content": "(what a hard question)",
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"timestamp": "05/06/2022 18:06:42",
"content": ".close",
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"id": 972258134972317700,
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"timestamp": "05/06/2022 18:06:43",
"content": "Channel closed",
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}
] |
help-9
|
4eebc09df7df455f9894114063a00279
|
199,756 |
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"timestamp": "05/06/2022 18:07:43",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"content": "Channel closed",
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] |
help-9
|
99340d77caba4d18854b19898f5683ee
|
199,757 |
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"content": "ty",
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{
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"timestamp": "05/06/2022 22:49:31",
"content": "Available help channel!",
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{
"id": 972329789081923600,
"author_id": 881718578968162400,
"author_name": "YoimiyaSimpu",
"timestamp": "05/06/2022 22:51:26",
"content": "I am just missing this one step and I feel dumb about not knowing what the correct way to write it is",
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"content": "Pinned a message.",
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"content": "nevermind I got it",
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"content": ".close",
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help-9
|
7d5eeada97654a3a96b21021d285b011
|
199,758 |
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"id": 972340373651341300,
"author_id": 202658232273993730,
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"timestamp": "05/06/2022 23:33:30",
"content": "can anyone help me understand the surjective/into part of this question",
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"id": 972340649674285200,
"author_id": 559140094179803140,
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"timestamp": "05/06/2022 23:34:36",
"content": "ok",
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{
"id": 972340660424306700,
"author_id": 559140094179803140,
"author_name": "kaynsu",
"timestamp": "05/06/2022 23:34:38",
"content": "what does onto mean",
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"id": 972340683010625500,
"author_id": 202658232273993730,
"author_name": "shaka",
"timestamp": "05/06/2022 23:34:44",
"content": "every image has a preimage",
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{
"id": 972340691910951000,
"author_id": 559140094179803140,
"author_name": "kaynsu",
"timestamp": "05/06/2022 23:34:46",
"content": "yes",
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{
"id": 972340822714495000,
"author_id": 559140094179803140,
"author_name": "kaynsu",
"timestamp": "05/06/2022 23:35:17",
"content": "so when you x mod 4, no matter what you put in for x, it will output either 0, 1, 2, 3",
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"id": 972340856197623900,
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"author_name": "shaka",
"timestamp": "05/06/2022 23:35:25",
"content": "yep",
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},
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"id": 972340868361101400,
"author_id": 559140094179803140,
"author_name": "kaynsu",
"timestamp": "05/06/2022 23:35:28",
"content": "if it were 0, 1, 2 , 3 , 4,5 it's not onto",
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"id": 972340876372238300,
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"timestamp": "05/06/2022 23:35:30",
"content": "I understand why it is surjective",
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"id": 972340891413004300,
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"timestamp": "05/06/2022 23:35:33",
"content": "oh my bab",
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"id": 972340908102135800,
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"timestamp": "05/06/2022 23:35:37",
"content": "I dont understand their working",
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"author_name": "kaynsu",
"timestamp": "05/06/2022 23:35:43",
"content": "wdym",
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"id": 972340992021782500,
"author_id": 202658232273993730,
"author_name": "shaka",
"timestamp": "05/06/2022 23:35:57",
"content": "`Take any y in {0, 1, 2, 3}. Then y is in N , and f (y) = y. So f in onto.`",
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{
"id": 972341021654523900,
"author_id": 202658232273993730,
"author_name": "shaka",
"timestamp": "05/06/2022 23:36:04",
"content": "This is the answer we were given",
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"id": 972341046367359100,
"author_id": 202658232273993730,
"author_name": "shaka",
"timestamp": "05/06/2022 23:36:10",
"content": "on how to prove it is surjective",
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"id": 972341098632581200,
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"author_name": "shaka",
"timestamp": "05/06/2022 23:36:23",
"content": "I cant follow how they arrive at `so f is onto`",
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"id": 972341218287689700,
"author_id": 559140094179803140,
"author_name": "kaynsu",
"timestamp": "05/06/2022 23:36:51",
"content": "yeah wtf is this proof",
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"id": 972341324642676700,
"author_id": 559140094179803140,
"author_name": "kaynsu",
"timestamp": "05/06/2022 23:37:17",
"content": "i would prove it by cases",
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"id": 972341342426529800,
"author_id": 202658232273993730,
"author_name": "shaka",
"timestamp": "05/06/2022 23:37:21",
"content": "haha im glad im not the only one.",
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"id": 972341431899390000,
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"author_name": "shaka",
"timestamp": "05/06/2022 23:37:42",
"content": "what about if it was n mod 400",
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"id": 972341460739428400,
"author_id": 559140094179803140,
"author_name": "kaynsu",
"timestamp": "05/06/2022 23:37:49",
"content": "so first $ x= 4n, n \\in \\mathbb{Z}$",
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"id": 972341548022923300,
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"author_name": "kaynsu",
"timestamp": "05/06/2022 23:38:10",
"content": "uh you would need 400 elements in the codomain",
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"id": 972341584991502500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "05/06/2022 23:38:19",
"content": "No space after $",
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"id": 972341598019014700,
"author_id": 202658232273993730,
"author_name": "shaka",
"timestamp": "05/06/2022 23:38:22",
"content": "yeh sorry but i mean case by case might not be feasible right?",
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"id": 972341614322253800,
"author_id": 559140094179803140,
"author_name": "kaynsu",
"timestamp": "05/06/2022 23:38:26",
"content": "yes",
"attachments": [],
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{
"id": 972341666478424000,
"author_id": 559140094179803140,
"author_name": "kaynsu",
"timestamp": "05/06/2022 23:38:38",
"content": "so first $x= 4n, n \\in \\mathbb{Z}$",
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"id": 972341674464378900,
"author_id": 559140094179803140,
"author_name": "kaynsu",
"timestamp": "05/06/2022 23:38:40",
"content": "thanks",
"attachments": [],
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},
{
"id": 972341676016300200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "05/06/2022 23:38:40",
"content": "**kaynsu**",
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"id": 972341748137340900,
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"author_name": "kaynsu",
"timestamp": "05/06/2022 23:38:57",
"content": "good thing it doesn't ask mod 400",
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"id": 972341756622438400,
"author_id": 559140094179803140,
"author_name": "kaynsu",
"timestamp": "05/06/2022 23:39:00",
"content": "lol",
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"id": 972341861039603700,
"author_id": 202658232273993730,
"author_name": "shaka",
"timestamp": "05/06/2022 23:39:24",
"content": "true. Just wondering there must be a way to prove its surjective without doing case by case",
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"id": 972342000428924900,
"author_id": 559140094179803140,
"author_name": "kaynsu",
"timestamp": "05/06/2022 23:39:58",
"content": "hmm",
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"id": 972342363169103900,
"author_id": 559140094179803140,
"author_name": "kaynsu",
"timestamp": "05/06/2022 23:41:24",
"content": "i think you can do it by induction",
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"id": 972342389408669700,
"author_id": 559140094179803140,
"author_name": "kaynsu",
"timestamp": "05/06/2022 23:41:30",
"content": "but induct up to a certain point maybe",
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"id": 972342441032171500,
"author_id": 559140094179803140,
"author_name": "kaynsu",
"timestamp": "05/06/2022 23:41:43",
"content": "induct over a subset of the integers",
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"id": 972342490931789800,
"author_id": 559140094179803140,
"author_name": "kaynsu",
"timestamp": "05/06/2022 23:41:55",
"content": "yes",
"attachments": [],
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"id": 972342501488857100,
"author_id": 559140094179803140,
"author_name": "kaynsu",
"timestamp": "05/06/2022 23:41:57",
"content": "that's how i would do it",
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"id": 972342841101672400,
"author_id": 202658232273993730,
"author_name": "shaka",
"timestamp": "05/06/2022 23:43:18",
"content": "hmm ok i havent leaved that",
"attachments": [],
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},
{
"id": 972342949104975900,
"author_id": 559140094179803140,
"author_name": "kaynsu",
"timestamp": "05/06/2022 23:43:44",
"content": "yeah idk if that would even work",
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},
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"id": 972343347144441900,
"author_id": 202658232273993730,
"author_name": "shaka",
"timestamp": "05/06/2022 23:45:19",
"content": "ok thanks",
"attachments": [],
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},
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"id": 972347123074994200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/07/2022 00:00:19",
"content": "@shaka Has your question been resolved?",
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"timestamp": "05/07/2022 00:30:24",
"content": "@shaka Has your question been resolved?",
"attachments": [],
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"timestamp": "05/07/2022 01:58:16",
"content": "@shaka Has your question been resolved?",
"attachments": [],
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"timestamp": "05/07/2022 02:06:40",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
3813779abea149aba34c36a92c28bac5
|
199,759 |
[
{
"id": 972379172204867600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/07/2022 02:07:40",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972380181392158700,
"author_id": 861596925803364400,
"author_name": "geniemaster",
"timestamp": "05/07/2022 02:11:41",
"content": "Stoaches are fictional creatures with distinctive octarine stripes. Unfortunately they are vulnerable to the chirax virus (which isn’t actually harmful, but causes them great embarrassment).\nIn the general population of stoaches worldwide, 23% of stoaches carry the chirax virus. The local habitat has recently been devastated with both fires and floods. A researcher would like to know whether this has affected the local population’s health, and in particular, its rate of chirax infection.\nA sample of 65 local stoaches is tested for chirax, and 6 of them have this humiliating condition. The researcher does a zz-test to see whether the local chirax rate has changed.\nDetermine the pp-value from this test. (Give your answer to 4 decimal places.)",
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"id": 972380183275384800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/07/2022 02:11:41",
"content": "Pinned a message.",
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"id": 972380211062652900,
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"author_name": "geniemaster",
"timestamp": "05/07/2022 02:11:48",
"content": "Plz help ^",
"attachments": [],
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},
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"id": 972383987471376400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/07/2022 02:26:48",
"content": "@geniemaster Has your question been resolved?",
"attachments": [],
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"timestamp": "05/07/2022 03:04:38",
"content": "@geniemaster Has your question been resolved?",
"attachments": [],
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"timestamp": "05/07/2022 03:34:38",
"content": "Channel closed",
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}
] |
help-9
|
6101e1c315bf497a8558d88f22f47d9a
|
199,760 |
[
{
"id": 972401085568409600,
"author_id": 942354759480901600,
"author_name": "Light Shinigami",
"timestamp": "05/07/2022 03:34:45",
"content": "f",
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},
{
"id": 972401309644910600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/07/2022 03:35:38",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 972402205040721900,
"author_id": 195924636569960450,
"author_name": "Lyuka",
"timestamp": "05/07/2022 03:39:12",
"content": "It should have been a simple problem but i always get these results: x=1 y=27",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/07/2022 03:39:12",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 972402376780705800,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "05/07/2022 03:39:52",
"content": "that's a solution to the first equation but not the second one (plug it in to see)",
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"id": 972402564228325400,
"author_id": 195924636569960450,
"author_name": "Lyuka",
"timestamp": "05/07/2022 03:40:37",
"content": "Then i'm doing these kind of problems wrong it seems",
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"id": 972402595303919600,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "05/07/2022 03:40:45",
"content": "how did you solve it?",
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},
{
"id": 972402685368225800,
"author_id": 195924636569960450,
"author_name": "Lyuka",
"timestamp": "05/07/2022 03:41:06",
"content": "I made this change in the first equation -> y=-x +28",
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},
{
"id": 972402732327665700,
"author_id": 195924636569960450,
"author_name": "Lyuka",
"timestamp": "05/07/2022 03:41:17",
"content": "changed the value of y inside the second equation to find x",
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{
"id": 972402773335371800,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "05/07/2022 03:41:27",
"content": "ok that's reasonable",
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{
"id": 972402791358279700,
"author_id": 195924636569960450,
"author_name": "Lyuka",
"timestamp": "05/07/2022 03:41:31",
"content": "and then changed the value of x inside y=-x+28",
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},
{
"id": 972402916189155300,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "05/07/2022 03:42:01",
"content": "what was your second equation after you set y = -x + 28 ?",
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"id": 972402972019523600,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "05/07/2022 03:42:14",
"content": "in this case, its pretty obvious that x > y,\nthat rules out A and D\nB is obviously not true since x = 28 ...\nthat leaves C...",
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"id": 972402988981293000,
"author_id": 195924636569960450,
"author_name": "Lyuka",
"timestamp": "05/07/2022 03:42:18",
"content": "x+x-28=1/4x",
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"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "05/07/2022 03:42:35",
"content": "so far so good",
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"author_name": "Bungo",
"timestamp": "05/07/2022 03:42:44",
"content": "and now solve for x, what did you get?",
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"id": 972403123052245000,
"author_id": 195924636569960450,
"author_name": "Lyuka",
"timestamp": "05/07/2022 03:42:50",
"content": "x=1",
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"id": 972403215792476200,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "05/07/2022 03:43:13",
"content": "that can't be right, plug in x=1 and you see it is not a solution",
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"id": 972403230900367400,
"author_id": 195924636569960450,
"author_name": "Lyuka",
"timestamp": "05/07/2022 03:43:16",
"content": "wait, i think i know what i did wrong",
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{
"id": 972403305659646000,
"author_id": 195924636569960450,
"author_name": "Lyuka",
"timestamp": "05/07/2022 03:43:34",
"content": "i moved 1/4x togheter, when i just needed to move the x",
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"id": 972403392196542500,
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"author_name": "Bungo",
"timestamp": "05/07/2022 03:43:55",
"content": "you can subtract (1/4)x from both sides",
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"id": 972403416410247200,
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"author_name": "Bungo",
"timestamp": "05/07/2022 03:44:00",
"content": "and add 28 to both sides",
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"id": 972403456277090300,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "05/07/2022 03:44:10",
"content": "that way all the stuff with x is on the left and everything else is on the right",
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"id": 972403627786395600,
"author_id": 195924636569960450,
"author_name": "Lyuka",
"timestamp": "05/07/2022 03:44:51",
"content": "Okay, so we have 2x-1/4x=+28",
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"id": 972403651337388000,
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"author_name": "Bungo",
"timestamp": "05/07/2022 03:44:56",
"content": "yes",
"attachments": [],
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{
"id": 972403684635979900,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "05/07/2022 03:45:04",
"content": "and the left can be simplified",
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"id": 972403986013495300,
"author_id": 195924636569960450,
"author_name": "Lyuka",
"timestamp": "05/07/2022 03:46:16",
"content": "doesn't it become something like this? (8x-1x)/4=28/4",
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"id": 972404209104347100,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "05/07/2022 03:47:09",
"content": "almost right, but why did you divide the right hand side by 4?",
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"id": 972404268223045600,
"author_id": 195924636569960450,
"author_name": "Lyuka",
"timestamp": "05/07/2022 03:47:23",
"content": "Because like this i can remove the /4",
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"id": 972404282320109600,
"author_id": 195924636569960450,
"author_name": "Lyuka",
"timestamp": "05/07/2022 03:47:27",
"content": "from the first side",
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"id": 972404288448004100,
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"author_name": "Bungo",
"timestamp": "05/07/2022 03:47:28",
"content": "on the left you're just putting everything over the common denominator",
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"id": 972404325458534400,
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"author_name": "Lyuka",
"timestamp": "05/07/2022 03:47:37",
"content": "Wait you are right",
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"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "05/07/2022 03:47:40",
"content": "yeah but you can't divide the RHS by 4 unless you also divide the LHS by 4",
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},
{
"id": 972404388712833000,
"author_id": 195924636569960450,
"author_name": "Lyuka",
"timestamp": "05/07/2022 03:47:52",
"content": "i have to moltiply to be able to remove it",
"attachments": [],
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"reference": null
},
{
"id": 972404406265999400,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "05/07/2022 03:47:56",
"content": "yes",
"attachments": [],
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"reference": null
},
{
"id": 972404564114415600,
"author_id": 195924636569960450,
"author_name": "Lyuka",
"timestamp": "05/07/2022 03:48:34",
"content": "Okay, now x=16",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972404583907352700,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "05/07/2022 03:48:39",
"content": "yes",
"attachments": [],
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},
{
"id": 972404641046331500,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "05/07/2022 03:48:52",
"content": "now you can get y from your earlier y = -x + 28",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972404669672484900,
"author_id": 195924636569960450,
"author_name": "Lyuka",
"timestamp": "05/07/2022 03:48:59",
"content": "then i just change the value of the first equation and we are done",
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},
{
"id": 972404705718313000,
"author_id": 195924636569960450,
"author_name": "Lyuka",
"timestamp": "05/07/2022 03:49:08",
"content": "thank you so much :), i made a really dumb error",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 972404759015338000,
"author_id": 761155030513352700,
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"timestamp": "05/07/2022 03:49:20",
"content": "no problem, it happens 😀",
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"reference": null
},
{
"id": 972404951240278000,
"author_id": 195924636569960450,
"author_name": "Lyuka",
"timestamp": "05/07/2022 03:50:06",
"content": ".close",
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},
{
"id": 972404952850894800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/07/2022 03:50:07",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
b1cdc0565be5441296d24d47dc290c10
|
199,761 |
[
{
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"author_id": 805217272087838700,
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"timestamp": "05/07/2022 03:51:07",
"content": "Available help channel!",
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"reference": null
},
{
"id": 972408656098394100,
"author_id": 936630749459779600,
"author_name": "lol",
"timestamp": "05/07/2022 04:04:50",
"content": "Hello",
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},
{
"id": 972408657755131900,
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"author_name": "Mathematics Bot",
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"content": "Pinned a message.",
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}
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"id": 972408861602508800,
"author_id": 936630749459779600,
"author_name": "lol",
"timestamp": "05/07/2022 04:05:39",
"content": "Can I get some help with my math",
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"reference": null
},
{
"id": 972408925943103500,
"author_id": 942354759480901600,
"author_name": "Light Shinigami",
"timestamp": "05/07/2022 04:05:54",
"content": "yo whats up",
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},
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"timestamp": "05/07/2022 04:07:46",
"content": "Is my answer correct",
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},
{
"id": 972412364009914400,
"author_id": 942354759480901600,
"author_name": "Light Shinigami",
"timestamp": "05/07/2022 04:19:34",
"content": "idk i did it, i got something different from you",
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"reference": null
},
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"id": 972413623265800200,
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"timestamp": "05/07/2022 04:24:34",
"content": "@lol Has your question been resolved?",
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"timestamp": "05/07/2022 04:25:41",
"content": "interest = 385 - 350",
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},
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"id": 972417398873423900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/07/2022 04:39:34",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
f785a59c084344d6afec9dd07aafa87b
|
199,762 |
[
{
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"timestamp": "05/07/2022 04:40:34",
"content": "Available help channel!",
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"reference": null
},
{
"id": 972420915361116200,
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"author_name": "Struggling",
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"timestamp": "05/07/2022 04:53:33",
"content": "Pinned a message.",
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"author_name": "Struggling",
"timestamp": "05/07/2022 04:53:36",
"content": "I am doing part i but I got stuck here. Can someone give me some hints?",
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"content": "@Struggling Has your question been resolved?",
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"content": "@Struggling Has your question been resolved?",
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"timestamp": "05/07/2022 06:42:26",
"content": "@Struggling Has your question been resolved?",
"attachments": [],
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{
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"timestamp": "05/07/2022 07:41:36",
"content": ".close",
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},
{
"id": 972463209892180000,
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"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
6e38575d4a5b4802a8b80c1c7f97c190
|
199,763 |
[
{
"id": 972463215613202600,
"author_id": 971737495047929900,
"author_name": "Struggling",
"timestamp": "05/07/2022 07:41:38",
"content": ".reopen",
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},
{
"id": 972463219425828900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "05/07/2022 07:41:39",
"content": "✅",
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},
{
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"id": 972463340947394600,
"author_id": 971737495047929900,
"author_name": "Struggling",
"timestamp": "05/07/2022 07:42:07",
"content": "Suppose I know the fact in the box",
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},
{
"id": 972463435096936600,
"author_id": 971737495047929900,
"author_name": "Struggling",
"timestamp": "05/07/2022 07:42:30",
"content": "Can I draw the conclusion in the first two lines here?",
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},
{
"id": 972465245736022000,
"author_id": 355287686959071200,
"author_name": "Trenton",
"timestamp": "05/07/2022 07:49:42",
"content": "Wait this question looks familiar",
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},
{
"id": 972465285091172400,
"author_id": 355287686959071200,
"author_name": "Trenton",
"timestamp": "05/07/2022 07:49:51",
"content": "Are we using the same textbook",
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},
{
"id": 972493635394371600,
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"author_name": "Mathematics Bot",
"timestamp": "05/07/2022 09:42:30",
"content": "@Struggling Has your question been resolved?",
"attachments": [],
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"id": 972514048690241500,
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"author_name": "1345631",
"timestamp": "05/07/2022 11:03:37",
"content": "Not your channel, and do not instaping helpers",
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},
{
"id": 972523834961969200,
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"timestamp": "05/07/2022 11:42:30",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
2b43ec97be7b4655a4e08d5c3f20d83e
|
199,764 |
[
{
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"timestamp": "05/07/2022 11:43:31",
"content": "Available help channel!",
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},
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"id": 972524494117822500,
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"content": "Pinned a message.",
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"author_name": "meow meow meow",
"timestamp": "05/07/2022 11:51:27",
"content": "3pi/2 + 2kpi -> **3pi/8** + kpi/2",
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},
{
"id": 972526277087092700,
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"author_name": "meow meow meow",
"timestamp": "05/07/2022 11:52:13",
"content": "not 7pi @Cola Muffin",
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"content": "O",
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"content": ":(",
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"timestamp": "05/07/2022 12:12:45",
"content": "@Cola Muffin Has your question been resolved?",
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"author_name": "meow meow meow",
"timestamp": "05/07/2022 12:13:12",
"content": "oh wait mb mb mb",
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},
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"id": 972531821764018200,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "05/07/2022 12:14:15",
"content": "it’s 7pi/4 not 3pi/2",
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},
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"id": 972531873374961700,
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"author_name": "meow meow meow",
"timestamp": "05/07/2022 12:14:27",
"content": "so it goes to 7pi/16 not 3pi/8 @Cola Muffin",
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"timestamp": "05/07/2022 12:27:45",
"content": "Channel closed",
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}
] |
help-9
|
7c2a8adb4660450896232449e859a3aa
|
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