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{
"id": 1035178063085969500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 09:08:02",
"content": "Available help channel!",
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{
"id": 1035179634125459600,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "10/27/2022 09:14:17",
"content": "How to find the derivative of $f(x) = 2^{-x}$ with only the definition?\n$f'(a) = \\lim_{x \\to a} \\frac{f(x) - f(a)}{x - a} = \\lim_{x \\to a} \\frac{2^{-x} - 2^{-a}}{x - a}$",
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{
"id": 1035179636247760900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 09:14:17",
"content": "Pinned a message.",
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{
"id": 1035179689335070800,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "10/27/2022 09:14:30",
"content": "",
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{
"id": 1035179707852927100,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "10/27/2022 09:14:35",
"content": "Any hints on how to proceed?",
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},
{
"id": 1035181445347557500,
"author_id": 856447591834976300,
"author_name": "Ryuzaki",
"timestamp": "10/27/2022 09:21:29",
"content": "$\\lim_{h \\to 0} \\frac{2^{x+h} - 2^x}{h}$",
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},
{
"id": 1035181493087117400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "10/27/2022 09:21:40",
"content": "**kyou**",
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{
"id": 1035181662419550200,
"author_id": 856447591834976300,
"author_name": "Ryuzaki",
"timestamp": "10/27/2022 09:22:21",
"content": "Take 2^x outside of the limit",
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},
{
"id": 1035181690668187800,
"author_id": 856447591834976300,
"author_name": "Ryuzaki",
"timestamp": "10/27/2022 09:22:27",
"content": "It is continuous so you can do it",
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},
{
"id": 1035181971988553900,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "10/27/2022 09:23:34",
"content": "$2^x \\cdot \\lim_{h \\to 0} \\frac{2^h - 1}{h}$",
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},
{
"id": 1035182013944180700,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "10/27/2022 09:23:44",
"content": "",
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{
"id": 1035182079069135000,
"author_id": 856447591834976300,
"author_name": "Ryuzaki",
"timestamp": "10/27/2022 09:24:00",
"content": "Now you must evaluate this limit",
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{
"id": 1035182154637918300,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "10/27/2022 09:24:18",
"content": "Is there a nice way to do that?",
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{
"id": 1035182200016089100,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "10/27/2022 09:24:29",
"content": "it's 2^x times something",
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{
"id": 1035182207435812900,
"author_id": 856447591834976300,
"author_name": "Ryuzaki",
"timestamp": "10/27/2022 09:24:31",
"content": "Yes. Take the natural log",
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{
"id": 1035182340323934300,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "10/27/2022 09:25:02",
"content": "Of what? This isn't an equation, so why can you just take the natural log?",
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"id": 1035183404183978100,
"author_id": 496104403984449540,
"author_name": "Ninja8flash",
"timestamp": "10/27/2022 09:29:16",
"content": "Set it equal to f'(x) and then ln both sides",
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{
"id": 1035183550103834800,
"author_id": 496104403984449540,
"author_name": "Ninja8flash",
"timestamp": "10/27/2022 09:29:51",
"content": "Or do e^ln of what you have",
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"id": 1035184277031235600,
"author_id": 496104403984449540,
"author_name": "Ninja8flash",
"timestamp": "10/27/2022 09:32:44",
"content": "Or back at the start you can exchange 2^x for e^xln(2)",
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{
"id": 1035184329095131300,
"author_id": 496104403984449540,
"author_name": "Ninja8flash",
"timestamp": "10/27/2022 09:32:56",
"content": "Which would probably work better",
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{
"id": 1035184451447169200,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "10/27/2022 09:33:26",
"content": "Thanks, let's try that",
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{
"id": 1035184479167328300,
"author_id": 496104403984449540,
"author_name": "Ninja8flash",
"timestamp": "10/27/2022 09:33:32",
"content": "Because then you can use the definition of e",
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{
"id": 1035185276630347900,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "10/27/2022 09:36:42",
"content": "$f'(x) = \\lim_{h \\to 0} \\frac{(e^{log_e(2)})^{x+h} - (e^{log_e(2)})^x}{h}$",
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{
"id": 1035185325674352800,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "10/27/2022 09:36:54",
"content": "",
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{
"id": 1035185700464767000,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "10/27/2022 09:38:23",
"content": "$= (e^{log_e(2)})^x \\cdot \\lim_{h \\to 0} \\frac{(e^{log_e(2)})^h - 1}{h}$",
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},
{
"id": 1035185821181018200,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "10/27/2022 09:38:52",
"content": "",
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{
"id": 1035187592557252600,
"author_id": 496104403984449540,
"author_name": "Ninja8flash",
"timestamp": "10/27/2022 09:45:54",
"content": "Take the ln(2) outside",
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{
"id": 1035187764985077800,
"author_id": 496104403984449540,
"author_name": "Ninja8flash",
"timestamp": "10/27/2022 09:46:36",
"content": "And use the limit definition of e but use 1/hln(2) instead of n and as h goes to 0",
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},
{
"id": 1035189912263217300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 09:55:07",
"content": "@Kepe Has your question been resolved?",
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{
"id": 1035193689108136000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 10:10:08",
"content": "Channel closed",
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}
] |
help-9
|
378e46ca8b4a4618b33f68fd8f201aeb
|
200,466 |
[
{
"id": 1059196662205132900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 14:49:23",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1059200208782757900,
"author_id": 422851207850229760,
"author_name": "sheerwood",
"timestamp": "01/01/2023 15:03:28",
"content": "How can i show this please?",
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{
"id": 1059200212641529900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 15:03:29",
"content": "Pinned a message.",
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},
{
"id": 1059200762162458600,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "01/01/2023 15:05:40",
"content": "can you use induction?",
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},
{
"id": 1059200969809866800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 15:06:30",
"content": "@sheerwood have you made any progress on this?",
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{
"id": 1059201089330741400,
"author_id": 422851207850229760,
"author_name": "sheerwood",
"timestamp": "01/01/2023 15:06:58",
"content": "i tried to use the binomial theorem but didnt get anything",
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},
{
"id": 1059201131483517000,
"author_id": 422851207850229760,
"author_name": "sheerwood",
"timestamp": "01/01/2023 15:07:08",
"content": "nope",
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{
"id": 1059201164589154400,
"author_id": 422851207850229760,
"author_name": "sheerwood",
"timestamp": "01/01/2023 15:07:16",
"content": "thought of it",
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},
{
"id": 1059201170129834100,
"author_id": 422851207850229760,
"author_name": "sheerwood",
"timestamp": "01/01/2023 15:07:17",
"content": "but",
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},
{
"id": 1059201223095500800,
"author_id": 422851207850229760,
"author_name": "sheerwood",
"timestamp": "01/01/2023 15:07:30",
"content": "i guess the last step to show it for n+1 is kinda tough",
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},
{
"id": 1059201268792434700,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "01/01/2023 15:07:41",
"content": "what did you try with the binomial theorem?",
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},
{
"id": 1059202231636865000,
"author_id": 422851207850229760,
"author_name": "sheerwood",
"timestamp": "01/01/2023 15:11:31",
"content": "nothing",
"attachments": [],
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"id": 1059202566388469800,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "01/01/2023 15:12:50",
"content": "thinking about it i dont see how it helps, but induction works fine if you know about a specific identity (which might not even be needed)",
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{
"id": 1059203019507515400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 15:14:38",
"content": "there is a combinatorial way to do this",
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"id": 1059203048175587300,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "01/01/2023 15:14:45",
"content": "so if you take this as the induction hypothesis, which equation do you have to show then?",
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"id": 1059203131549954000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 15:15:05",
"content": "C(n,3) is the number of three-element subsets of 1:n",
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{
"id": 1059203221576499300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 15:15:27",
"content": "sorting and counting them by their highest number produces the sum on the right",
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{
"id": 1059203235644178400,
"author_id": 422851207850229760,
"author_name": "sheerwood",
"timestamp": "01/01/2023 15:15:30",
"content": "i have to show C(n+1,3) = C(2,2)+...+C(n,2)",
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{
"id": 1059203430264082600,
"author_id": 422851207850229760,
"author_name": "sheerwood",
"timestamp": "01/01/2023 15:16:16",
"content": "what do you mean by 'their highest number' ?",
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"id": 1059203584794828800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 15:16:53",
"content": "each three-element subset of {1, ..., n} has a highest number",
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{
"id": 1059203627392180400,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "01/01/2023 15:17:03",
"content": "yes, so the right hand side terms only differ by this one C(n, 2) summand right? so starting with the induction hypothesis, what if you add C(n, 2) to both sides?",
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"id": 1059203636837744600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/01/2023 15:17:06",
"content": "count the ones which have 3 as their highest, then 4, then 5, ...",
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"id": 1059204433935876200,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "01/01/2023 15:20:16",
"content": "You can try binomial theorem",
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"id": 1059204455150653600,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "01/01/2023 15:20:21",
"content": "Can be proved easily",
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{
"id": 1059204899805593700,
"author_id": 422851207850229760,
"author_name": "sheerwood",
"timestamp": "01/01/2023 15:22:07",
"content": "right hand side is fine, the left hand, i couldn't get C(n+1,3)",
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"id": 1059205257374220400,
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"author_name": "rbit ✨",
"timestamp": "01/01/2023 15:23:32",
"content": "so did you get stuck on the equation\nC(n, 2) + C(n, 3) = C(n + 1, 3)?",
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{
"id": 1059206520946032600,
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"author_name": "sheerwood",
"timestamp": "01/01/2023 15:28:33",
"content": "i guess im close",
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{
"id": 1059206539220635600,
"author_id": 422851207850229760,
"author_name": "sheerwood",
"timestamp": "01/01/2023 15:28:38",
"content": "well that's not a problem",
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},
{
"id": 1059206552348803200,
"author_id": 422851207850229760,
"author_name": "sheerwood",
"timestamp": "01/01/2023 15:28:41",
"content": "i can work on it",
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},
{
"id": 1059206583273410700,
"author_id": 422851207850229760,
"author_name": "sheerwood",
"timestamp": "01/01/2023 15:28:48",
"content": "i arrived to",
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},
{
"id": 1059206811221250000,
"author_id": 422851207850229760,
"author_name": "sheerwood",
"timestamp": "01/01/2023 15:29:42",
"content": "( 3n! + n!(n-2) ) / ( 6(n-2)! )",
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},
{
"id": 1059206967681355900,
"author_id": 422851207850229760,
"author_name": "sheerwood",
"timestamp": "01/01/2023 15:30:20",
"content": "how ?",
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"author_id": 422851207850229760,
"author_name": "sheerwood",
"timestamp": "01/01/2023 15:30:43",
"content": "oh done",
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},
{
"id": 1059207073201651700,
"author_id": 422851207850229760,
"author_name": "sheerwood",
"timestamp": "01/01/2023 15:30:45",
"content": "got it",
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},
{
"id": 1059207106298912800,
"author_id": 422851207850229760,
"author_name": "sheerwood",
"timestamp": "01/01/2023 15:30:53",
"content": "just had n! as factor",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059207121205465100,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "01/01/2023 15:30:56",
"content": "can you show the way you got there? im not so sure what exactly that is",
"attachments": [],
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"reference": null
},
{
"id": 1059207227971473400,
"author_id": 422851207850229760,
"author_name": "sheerwood",
"timestamp": "01/01/2023 15:31:22",
"content": "Thank you so much @rbit ✨ i really appreciate that",
"attachments": [],
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{
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"name": "rbit ✨",
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},
{
"id": 1059207241225486300,
"author_id": 422851207850229760,
"author_name": "sheerwood",
"timestamp": "01/01/2023 15:31:25",
"content": "❤️",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059208317433553000,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "01/01/2023 15:35:42",
"content": "Need hint?",
"attachments": [],
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{
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"name": "sheerwood",
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}
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},
{
"id": 1059208826152288400,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "01/01/2023 15:37:43",
"content": "2c2 can be written as coefficient of x^2 in (1+x)^2, 3c2 can be written as coefficient of x^2 in (1+x)^3,....\nA GP will be formed , find the coefficient of x^2 in that",
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},
{
"id": 1059208971166171100,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "01/01/2023 15:38:17",
"content": "Won't take much long if you write properly and solve",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059209255640629200,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "01/01/2023 15:39:25",
"content": "@sheerwood",
"attachments": [],
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},
{
"id": 1059209322367832000,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "01/01/2023 15:39:41",
"content": "Boi went to sleep",
"attachments": [],
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"reference": null
},
{
"id": 1059210162977652900,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "01/01/2023 15:43:02",
"content": "It will hardly take 7-8 lines",
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},
{
"id": 1059211424552988800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 15:48:02",
"content": "@sheerwood Has your question been resolved?",
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"id": 1059215201636974600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 16:03:03",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
21597def37e04267b8b9e8047e873d79
|
200,467 |
[
{
"id": 1059257746920308900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 18:52:06",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059258617796235400,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 18:55:34",
"content": "algebra basic question",
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},
{
"id": 1059258621000679400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 18:55:35",
"content": "Pinned a message.",
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"id": 1059258675732172900,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 18:55:48",
"content": "Squared 1/200",
"attachments": [],
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"reference": null
},
{
"id": 1059258731558342700,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 18:56:01",
"content": "= 1/ squared 200",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059258761883156600,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 18:56:08",
"content": "anyways my final answer is",
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},
{
"id": 1059258772897403000,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 18:56:11",
"content": "10 squared 2",
"attachments": [],
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},
{
"id": 1059258806967742600,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 18:56:19",
"content": "but when i try to backtrack and do 10 times squared 2",
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},
{
"id": 1059258814517477400,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 18:56:21",
"content": "i dont get 200",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059258819835875500,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/01/2023 18:56:22",
"content": "You mean square root, correct?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059258827012329600,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 18:56:24",
"content": "what am i doing wrong",
"attachments": [],
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"reference": null
},
{
"id": 1059258832204861400,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 18:56:25",
"content": "yes",
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},
{
"id": 1059258925788188700,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 18:56:47",
"content": "10 times square root 2 is the simplified answer",
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},
{
"id": 1059258934873034900,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 18:56:50",
"content": "but if i do",
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"reference": null
},
{
"id": 1059258948059922400,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 18:56:53",
"content": "10 x square root 2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059258956062654500,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 18:56:55",
"content": "i dont get 200",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059258959652991000,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 18:56:56",
"content": "i get 40",
"attachments": [],
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"reference": null
},
{
"id": 1059259111834918900,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/01/2023 18:57:32",
"content": "Not understanding how you got 40",
"attachments": [],
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"reference": null
},
{
"id": 1059259147578790000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/01/2023 18:57:40",
"content": "Like what was the math process you did?",
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},
{
"id": 1059259202616426500,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 18:57:53",
"content": "typed into google",
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},
{
"id": 1059259223927689300,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/01/2023 18:57:59",
"content": "think they are only squaring sqrt2",
"attachments": [],
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},
{
"id": 1059259237831807000,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 18:58:02",
"content": "10 times squre root 2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059259244026810400,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/01/2023 18:58:03",
"content": "not the 10",
"attachments": [],
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},
{
"id": 1059259337975013500,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 18:58:26",
"content": "im just trying to backtrack so i fully see why the answer works",
"attachments": [],
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},
{
"id": 1059259420606992400,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/01/2023 18:58:45",
"content": "you need to calculate $(10\\sqrt{2})^2$",
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},
{
"id": 1059259430199373800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 18:58:48",
"content": "**ΣAC**",
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"id": 1059259469017657300,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 18:58:57",
"content": "ohhh i dont have that power 2",
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},
{
"id": 1059259493269127300,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 18:59:03",
"content": "that isnt in my simplified answer",
"attachments": [],
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},
{
"id": 1059259524135006300,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 18:59:10",
"content": "nor is it in the answer sheet",
"attachments": [],
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},
{
"id": 1059259544074731500,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 18:59:15",
"content": "are u sure thats correct?",
"attachments": [],
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},
{
"id": 1059259592397291600,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/01/2023 18:59:26",
"content": "you said you want to backtrack",
"attachments": [],
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},
{
"id": 1059259677680079000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/01/2023 18:59:47",
"content": "you calculated $\\sqrt{200}$ and found it was equal to $10\\sqrt{2}$",
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},
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"id": 1059259687549284400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 18:59:49",
"content": "**ΣAC**",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059259687750598666/182179228840755200.png",
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"id": 1059259704083230800,
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"author_name": "Goldi",
"timestamp": "01/01/2023 18:59:53",
"content": "yes",
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},
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"id": 1059259743648100400,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:00:02",
"content": "then how would i instinctively know to add the extra 2 to backtrack",
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},
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"id": 1059259784257339500,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/01/2023 19:00:12",
"content": "I'm assuming it was $\\frac{\\sqrt{2}}{20}$?",
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"id": 1059259792935362600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 19:00:14",
"content": "**dldh06**",
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"id": 1059259840440062000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/01/2023 19:00:26",
"content": "well what do you actually mean by backtrack if you're unsure what you're meant to be doing?",
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},
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"id": 1059259858337140700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/01/2023 19:00:30",
"content": "If so, you needed to rationalize the denominator",
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},
{
"id": 1059259898925433000,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:00:40",
"content": "ive simplified the 1 over 200 square root",
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},
{
"id": 1059259932563746800,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:00:48",
"content": "into 10 times 2 square root",
"attachments": [],
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},
{
"id": 1059259977593794700,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:00:58",
"content": "i thought i could just backtrack the answer to get back to 1 over 200 square root",
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},
{
"id": 1059259984568918000,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:01:00",
"content": "or at least 200",
"attachments": [],
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"reference": null
},
{
"id": 1059260262550614100,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:02:06",
"content": "nvm i see where im confused",
"attachments": [],
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},
{
"id": 1059260274990927900,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:02:09",
"content": "disregard, thank u",
"attachments": [],
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},
{
"id": 1059260284881084500,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:02:12",
"content": ".close",
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},
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"id": 1059260288047780000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 19:02:12",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
6ef7477ba0cd48a68f87a3e6ad529cb9
|
200,468 |
[
{
"id": 1059261148333088900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 19:05:37",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1059264647611547600,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:19:32",
"content": "simple algreba",
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},
{
"id": 1059264649838723200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 19:19:32",
"content": "Pinned a message.",
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{
"id": 1059264662362915000,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:19:35",
"content": "15\n√\n2",
"attachments": [],
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"reference": null
},
{
"id": 1059264715190181900,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:19:48",
"content": "$15\\sqrt{2}$",
"attachments": [],
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},
{
"id": 1059264724266660000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 19:19:50",
"content": "**Gijs**",
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"id": 1059264729597608000,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:19:51",
"content": "how is that",
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},
{
"id": 1059264737004765200,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:19:53",
"content": "equivalent to",
"attachments": [],
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},
{
"id": 1059264748790743000,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:19:56",
"content": "√\n15\n2\n⋅\n2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059264837588373500,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:20:17",
"content": "$\\sqrt{15\\cdot2\\cdot2}$",
"attachments": [],
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},
{
"id": 1059264846786469900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 19:20:19",
"content": "**Gijs**",
"attachments": [
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},
{
"id": 1059264849420501000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:20:20",
"content": "that?",
"attachments": [],
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"id": 1059265010456608800,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:20:58",
"content": "yes",
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"id": 1059265019193335900,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:21:00",
"content": "how are those equivalent",
"attachments": [],
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},
{
"id": 1059265033378484200,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:21:04",
"content": "i dont understand that part",
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},
{
"id": 1059265153494945900,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:21:32",
"content": "the former is just the simplified of the latter",
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{
"id": 1059265157802512500,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:21:33",
"content": "well thats the neat thing",
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},
{
"id": 1059265168741241000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:21:36",
"content": "they are not",
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{
"id": 1059265197187027000,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:21:43",
"content": "but i dont understand how the simplified can go backwards",
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},
{
"id": 1059265208847179800,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:21:45",
"content": "huh ok",
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},
{
"id": 1059265251226427500,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:21:56",
"content": "i can show you",
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},
{
"id": 1059265268259496000,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:22:00",
"content": "sorry the ladder is 15 squared times 2",
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},
{
"id": 1059265282809536500,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:22:03",
"content": "latter*",
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},
{
"id": 1059265283367391400,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:22:03",
"content": ",calc sqrt(15 * 2 * 2)",
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},
{
"id": 1059265285514870800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 19:22:04",
"content": "Result:\n```\n7.7459666924148\n```",
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},
{
"id": 1059265328594555000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:22:14",
"content": ",calc 15sqrt(2)",
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},
{
"id": 1059265329932546000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 19:22:14",
"content": "Result:\n```\n21.213203435596\n```",
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},
{
"id": 1059265365433143300,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:22:23",
"content": "yea see it doesnt make sense to me either",
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"id": 1059265402791788700,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:22:32",
"content": "https://www.mathway.com/popular-problems/Algebra/283575",
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"id": 1059265472408846300,
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"author_name": "heavy",
"timestamp": "01/01/2023 19:22:48",
"content": "did you perhaps mean $2\\sqrt{15}$ and $\\sqrt{15\\cdot2\\cdot2}$",
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"id": 1059265476431188000,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:22:49",
"content": "i get the steps going one way, but for me to fully understand i try to go backwards as well",
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"id": 1059265481443397800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 19:22:50",
"content": "**Gijs**",
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"author_name": "Goldi",
"timestamp": "01/01/2023 19:23:15",
"content": "im simplifying sqrt 450",
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"id": 1059265651174297600,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:23:31",
"content": "oh seems that there was a miscomunication",
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{
"id": 1059265680584740900,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:23:38",
"content": "on my part indeed",
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"id": 1059265727086993500,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:23:49",
"content": "$\\sqrt{450} = \\sqrt{15^2 \\cdot2}$",
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},
{
"id": 1059265790353875000,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:24:04",
"content": "but then one step further is",
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"id": 1059265810419417200,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:24:09",
"content": "15 square 2",
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{
"id": 1059265836356997200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 19:24:15",
"content": "**Gijs**",
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"id": 1059265887074525300,
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"author_name": "Goldi",
"timestamp": "01/01/2023 19:24:27",
"content": "i understand that part fully",
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"id": 1059265899770691700,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:24:30",
"content": "but the next simplification",
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"id": 1059265905974050800,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:24:32",
"content": "good good",
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{
"id": 1059265911493755000,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:24:33",
"content": "15 square 2",
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},
{
"id": 1059265916564676600,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:24:34",
"content": "i do not",
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},
{
"id": 1059265951855558700,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:24:43",
"content": "because to me it implies",
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{
"id": 1059265963494752300,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:24:45",
"content": "15 x 2squared",
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},
{
"id": 1059265975679197300,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:24:48",
"content": "which is nowhere CLOSE",
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},
{
"id": 1059265994327085200,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:24:53",
"content": "$\\sqrt{15^2 \\cdot2} = \\sqrt{15^2} \\cdot \\sqrt{2}$",
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},
{
"id": 1059266003369984000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 19:24:55",
"content": "**Gijs**",
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"id": 1059266070780854300,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:25:11",
"content": "$= 15\\cdot \\sqrt{2}$",
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},
{
"id": 1059266079874109600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 19:25:13",
"content": "**Gijs**",
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"id": 1059266092947751000,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:25:16",
"content": "yes",
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},
{
"id": 1059266103236374500,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:25:19",
"content": "that one",
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"id": 1059266139089293300,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:25:27",
"content": "that complex simplicity",
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"id": 1059266179916636200,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:25:37",
"content": "how in the world does that infer to 450",
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"id": 1059266289102758000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:26:03",
"content": "well suppose $(15\\sqrt{2})^2$",
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"id": 1059266297642352800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 19:26:05",
"content": "**Gijs**",
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"id": 1059266357184712700,
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"author_name": "Goldi",
"timestamp": "01/01/2023 19:26:19",
"content": "yes but where is that implied in the previous",
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"id": 1059266376835010600,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:26:24",
"content": "$= 15^2 * (\\sqrt{2})^2$",
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},
{
"id": 1059266382560235500,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:26:25",
"content": "it seems to lose its power 2 all together",
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"id": 1059266385961816000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 19:26:26",
"content": "**Gijs**",
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"id": 1059266432262738000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:26:37",
"content": "$= 15^2 \\cdot 2$",
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},
{
"id": 1059266441213382700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 19:26:39",
"content": "**Gijs**",
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"id": 1059266470745481200,
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"author_name": "Goldi",
"timestamp": "01/01/2023 19:26:46",
"content": "ok i get that",
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{
"id": 1059266498998321300,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:26:53",
"content": "but then hwy does 15 lose its power",
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"id": 1059266509899309200,
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"author_name": "heavy",
"timestamp": "01/01/2023 19:26:56",
"content": "oh alright",
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"id": 1059266543147548700,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:27:04",
"content": "well $\\sqrt{x^2} = \\sqrt{x}^2 = x$",
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{
"id": 1059266600861192300,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:27:17",
"content": "hmmm",
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"id": 1059266669433868400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 19:27:34",
"content": "**Gijs**",
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"id": 1059266695396602000,
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"timestamp": "01/01/2023 19:27:40",
"content": "well actually absolute value of x",
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"id": 1059266732579098800,
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"author_name": "heavy",
"timestamp": "01/01/2023 19:27:49",
"content": "but i dont want to cause unnecessary confusion",
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"id": 1059266786320728000,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:28:02",
"content": "hmm",
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"id": 1059266933171699700,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:28:37",
"content": "so we know that $\\sqrt{9} =3$",
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"id": 1059266941702914000,
"author_id": 510789298321096700,
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"timestamp": "01/01/2023 19:28:39",
"content": "**Gijs**",
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"id": 1059266960229155000,
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"author_name": "Goldi",
"timestamp": "01/01/2023 19:28:43",
"content": "yes",
"attachments": [],
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},
{
"id": 1059266966885515300,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:28:45",
"content": "absolutely",
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{
"id": 1059266984002461800,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:28:49",
"content": "and $\\sqrt{9} = \\sqrt{3^2} = 3$",
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"id": 1059266993095725200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 19:28:51",
"content": "**Gijs**",
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"id": 1059266996472123500,
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"author_name": "heavy",
"timestamp": "01/01/2023 19:28:52",
"content": "do you see?",
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},
{
"id": 1059267036133478500,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:29:01",
"content": "ummmm sort of",
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},
{
"id": 1059267071243984900,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:29:10",
"content": "the 3 squared inside a square kinda gets me",
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},
{
"id": 1059267111047929900,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:29:19",
"content": "i thought the 2 was infered with the slash thing",
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},
{
"id": 1059267245966110800,
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"author_name": "Goldi",
"timestamp": "01/01/2023 19:29:51",
"content": "hmm wait im confusing myself",
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},
{
"id": 1059267260897828900,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:29:55",
"content": "sorry what is the slash thing",
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"timestamp": "01/01/2023 19:30:04",
"content": "i thought the 3^2 would lose the little shelter",
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"timestamp": "01/01/2023 19:30:08",
"content": "its name illudes me",
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"timestamp": "01/01/2023 19:30:26",
"content": "exponent",
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"timestamp": "01/01/2023 19:30:29",
"content": "or square",
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"author_name": "Goldi",
"timestamp": "01/01/2023 19:30:34",
"content": "since 3^2 is the same as square 9",
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"author_name": "heavy",
"timestamp": "01/01/2023 19:30:36",
"content": "square root?",
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"author_name": "Goldi",
"timestamp": "01/01/2023 19:30:39",
"content": "yes",
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"id": 1059267454305575000,
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"author_name": "Goldi",
"timestamp": "01/01/2023 19:30:41",
"content": "the shelter",
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"id": 1059267461712724100,
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"author_name": "Goldi",
"timestamp": "01/01/2023 19:30:43",
"content": "lol",
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"timestamp": "01/01/2023 19:30:45",
"content": "hahah",
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"author_name": "heavy",
"timestamp": "01/01/2023 19:30:53",
"content": "we should rename it",
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"id": 1059267549906354200,
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"timestamp": "01/01/2023 19:31:04",
"content": "ok just a brief reminder",
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"timestamp": "01/01/2023 19:31:06",
"content": "what is the shelter called",
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"id": 1059267583641133300,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:31:12",
"content": "and what is the tinier numbers called",
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"id": 1059267610916700300,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:31:18",
"content": "square root symbol",
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"timestamp": "01/01/2023 19:31:24",
"content": "yes ok thought so",
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"id": 1059267693611593900,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:31:38",
"content": "so why does 3 still have the square root symbol but also carry the squared symbol",
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"timestamp": "01/01/2023 19:31:38",
"content": "hmm i dont think we ever name those",
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"author_name": "Goldi",
"timestamp": "01/01/2023 19:31:46",
"content": "i believe 2 is squared no",
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"id": 1059267737031033000,
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"timestamp": "01/01/2023 19:31:48",
"content": "because 3 is cubed?",
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"id": 1059267793352151000,
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"author_name": "heavy",
"timestamp": "01/01/2023 19:32:02",
"content": "yes to the power 2 is squared",
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"id": 1059267805716938800,
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"timestamp": "01/01/2023 19:32:05",
"content": "ok",
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"id": 1059267806203498500,
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"author_name": "heavy",
"timestamp": "01/01/2023 19:32:05",
"content": "and that",
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"id": 1059267851615219700,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:32:16",
"content": "so why does 3 still retain its square root shelter AND the squared symbol",
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"id": 1059267859173343200,
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"author_name": "Goldi",
"timestamp": "01/01/2023 19:32:17",
"content": "should it just be",
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"author_name": "Goldi",
"timestamp": "01/01/2023 19:32:20",
"content": "3 squared",
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"id": 1059267888076304500,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:32:24",
"content": "shouldnt*",
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"timestamp": "01/01/2023 19:32:26",
"content": "square roots and squaring undo eachother",
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"timestamp": "01/01/2023 19:32:37",
"content": "ok",
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"id": 1059267942539337700,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:32:37",
"content": "$\\sqrt{9} \\neq 3^2$",
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"author_name": "TeXit",
"timestamp": "01/01/2023 19:32:39",
"content": "**Gijs**",
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"timestamp": "01/01/2023 19:32:43",
"content": "if thats what you mean",
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"timestamp": "01/01/2023 19:32:50",
"content": "yea i thought those would be equal",
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"timestamp": "01/01/2023 19:33:27",
"content": "oh well then i think thats where you are stuck",
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"timestamp": "01/01/2023 19:33:32",
"content": "truly",
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"timestamp": "01/01/2023 19:33:35",
"content": "where did i learn wrong",
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"timestamp": "01/01/2023 19:34:33",
"content": "hahah",
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"timestamp": "01/01/2023 19:34:53",
"content": "okok where do i backtrack to relearn",
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"id": 1059268524423528600,
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"author_name": "Goldi",
"timestamp": "01/01/2023 19:34:56",
"content": "what am i missing here",
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"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:35:08",
"content": "not much luckily",
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"timestamp": "01/01/2023 19:35:45",
"content": "just remember that $\\sqrt{9} = \\sqrt{3^2} = (\\sqrt{3})^2 = \\sqrt{3} \\cdot \\sqrt{3} = 3$",
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"timestamp": "01/01/2023 19:35:57",
"content": "okok ur blowing my mind",
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"author_name": "Goldi",
"timestamp": "01/01/2023 19:36:02",
"content": "what is that little 2 doing on the roof",
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"id": 1059268857228964000,
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"author_name": "heavy",
"timestamp": "01/01/2023 19:36:15",
"content": "ill write it differently",
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"timestamp": "01/01/2023 19:36:45",
"content": "ahhhh that makes more sense",
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"id": 1059269013865238700,
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"author_name": "TeXit",
"timestamp": "01/01/2023 19:36:53",
"content": "**Gijs**",
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"timestamp": "01/01/2023 19:36:55",
"content": "gonna write this down",
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"timestamp": "01/01/2023 19:37:27",
"content": "ok so back to 450",
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"id": 1059269197689004000,
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"author_name": "Goldi",
"timestamp": "01/01/2023 19:37:36",
"content": "how does 15 times square root 2",
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"timestamp": "01/01/2023 19:37:39",
"content": "equal back to 450",
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"id": 1059269235135742000,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:37:45",
"content": "it lost all its power symbols",
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"id": 1059269364462915700,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:38:16",
"content": "well 450 has no power symbols",
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"id": 1059269418900795500,
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"author_name": "heavy",
"timestamp": "01/01/2023 19:38:29",
"content": "do you mean $15^2 \\cdot 2$",
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"id": 1059269427574624400,
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"timestamp": "01/01/2023 19:38:31",
"content": "**Gijs**",
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"timestamp": "01/01/2023 19:38:53",
"content": "yes",
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"id": 1059269572118716400,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:39:06",
"content": "i still dont get how the squared 2 moved over to the other 2",
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"id": 1059269606604279800,
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"author_name": "Goldi",
"timestamp": "01/01/2023 19:39:14",
"content": "to become 15 x square 2",
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"author_name": "heavy",
"timestamp": "01/01/2023 19:39:30",
"content": "alright so knowing what we know now",
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"id": 1059269929859305500,
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"timestamp": "01/01/2023 19:40:31",
"content": "$\\sqrt{450} = \\sqrt{15^2 \\cdot 2} = \\sqrt{15^2} \\cdot \\sqrt{2} = (\\sqrt{15})^2 \\cdot \\sqrt{2} = 15 \\cdot \\sqrt{2}$",
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"id": 1059269939149668400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 19:40:33",
"content": "**Gijs**",
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"id": 1059270046024745000,
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"author_name": "Goldi",
"timestamp": "01/01/2023 19:40:59",
"content": "hmmm",
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"id": 1059270059115167700,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:41:02",
"content": "ok but",
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"id": 1059270080938119200,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:41:07",
"content": "if i punch in that last one to a calculator",
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"id": 1059270092577321000,
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"timestamp": "01/01/2023 19:41:10",
"content": "i do not get 450",
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"id": 1059270101360193700,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:41:12",
"content": "why is that",
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{
"id": 1059270233912791200,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:41:44",
"content": "if you punch in 15 times sqrt(2)?",
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"id": 1059270287679553500,
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"author_name": "heavy",
"timestamp": "01/01/2023 19:41:56",
"content": "$15 \\cdot \\sqrt{2}$",
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"id": 1059270296508575900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 19:41:58",
"content": "**Gijs**",
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"timestamp": "01/01/2023 19:42:23",
"content": "i get 21.blahblahblah",
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"id": 1059270533927157900,
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"author_name": "heavy",
"timestamp": "01/01/2023 19:42:55",
"content": "oh i see",
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"timestamp": "01/01/2023 19:43:26",
"content": "well thats because $450 \\neq 15\\cdot \\sqrt{2}$ but $\\sqrt{450} = 15 \\cdot \\sqrt{2}$",
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"id": 1059270674654441500,
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"timestamp": "01/01/2023 19:43:29",
"content": "**Gijs**",
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"timestamp": "01/01/2023 19:43:37",
"content": "oh my looord",
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},
{
"id": 1059270721836154900,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:43:40",
"content": "what is happening",
"attachments": [],
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},
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"id": 1059270738001018900,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:43:44",
"content": "am i having a stroke",
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"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:44:50",
"content": "perhaps this can explain it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059271060832403500,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:45:01",
"content": ",calc 15 * sqrt(2)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059271062875025500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 19:45:01",
"content": "Result:\n```\n21.213203435596\n```",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059271096395903000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:45:09",
"content": ",calc 21.213203435596 * 21.213203435596",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059271098019086300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 19:45:10",
"content": "Result:\n```\n449.99999999998\n```",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059271586483540100,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:47:06",
"content": "hmmmmmmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059271598131118100,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:47:09",
"content": "HMMMMMMM",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059271611775205400,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:47:12",
"content": "yes i like this very much",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059271667148398700,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:47:25",
"content": "but how would one know to times it by itself",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059271691328573600,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:47:31",
"content": "if it lost its square root number",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059271817791012900,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:48:01",
"content": "well youre not trying to rewrite 450",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059271868298838100,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:48:13",
"content": "youre trying to rewrite sqrt(450)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059271890704810000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:48:19",
"content": "which is not the same as 450",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059271939161591800,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:48:30",
"content": "sqrt(450) is the number which times itself equals 450",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059272008535376000,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:48:47",
"content": "and it can also be written as 15 * sqrt(2)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059272176311734400,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:49:27",
"content": "ahhhhhhhhhhh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059272192191365100,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:49:30",
"content": "im beginning to see",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059272196121432200,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:49:31",
"content": "hmmmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059272201209131100,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:49:33",
"content": "ooohh yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059272264421482600,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:49:48",
"content": "haha thats great",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059272446223585400,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:50:31",
"content": "one last",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059272453567811600,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:50:33",
"content": "in your example",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059272468742803500,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:50:36",
"content": "all the equivalents of 450",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059272605871378600,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:51:09",
"content": "wait no i got it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059272620983468000,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:51:13",
"content": "ok i think i can move on",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059272627191042200,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:51:14",
"content": "thanks again",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059272788860469400,
"author_id": 394938706760302600,
"author_name": "heavy",
"timestamp": "01/01/2023 19:51:53",
"content": "no problem",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059272938651648000,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/01/2023 19:52:28",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059272943009538200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 19:52:29",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
0a7aac3b88524089bcc101be7ddfad6b
|
200,469 |
[
{
"id": 1059273195439534100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 19:53:30",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059278917049008300,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:16:14",
"content": "x/7 = 94",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059278918957400000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 20:16:14",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1059278917049008300,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1059278943963856900,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:16:20",
"content": "i need to find the value of x",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059278965568704500,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:16:25",
"content": "i dont understand where to start",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059278969519747100,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:16:26",
"content": "Okay",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279091343306900,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:16:55",
"content": "Something divided by 7 gives you 94",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279186184908900,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:17:18",
"content": "That means that originally that thing before dividing by 7 was what?",
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},
{
"id": 1059279297166184400,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:17:44",
"content": "huh",
"attachments": [],
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"reference": null
},
{
"id": 1059279301050105900,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:17:45",
"content": "sorry",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279313461051400,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:17:48",
"content": "im a bit confused",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279329130987500,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:17:52",
"content": "Okay",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279364333764600,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:18:00",
"content": "100 dividied by 10",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279385682784300,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:18:06",
"content": "What does that give you?",
"attachments": [],
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"reference": null
},
{
"id": 1059279394390167700,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:18:08",
"content": "10",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279483267461200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:18:29",
"content": "Okay",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279510282977300,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:18:35",
"content": "How do we get the 100 back?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279526850482200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:18:39",
"content": "Using the 10",
"attachments": [],
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"reference": null
},
{
"id": 1059279539383058600,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:18:42",
"content": "10*10",
"attachments": [],
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"reference": null
},
{
"id": 1059279553702400000,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:18:46",
"content": "Okay nice",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279558228050000,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:18:47",
"content": "Now",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279586573156400,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:18:53",
"content": "x/10 = 10",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279629577359400,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:19:04",
"content": "x divided by 10 gives you 10",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279650137845900,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:19:09",
"content": "yea",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279674359947400,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:19:14",
"content": "How do we get the x?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279698141655000,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:19:20",
"content": "10*10=x",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279763832848400,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:19:36",
"content": "Okay nice :)",
"attachments": [],
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"reference": null
},
{
"id": 1059279767871951000,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:19:37",
"content": "Now",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279786494668900,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:19:41",
"content": "x/7 = 94",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279806157566000,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:19:46",
"content": "How do we find x?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279827946967200,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:19:51",
"content": "wait why is it 94?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279862503850100,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:19:59",
"content": "OH",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279876454109200,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:20:03",
"content": "sorry my mistake",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279883815096300,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:20:04",
"content": "the question is",
"attachments": [],
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},
{
"id": 1059279901208879100,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:20:08",
"content": "x/7=9/4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279918015455400,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:20:12",
"content": "sorry abt that",
"attachments": [],
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"reference": null
},
{
"id": 1059279941142855700,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:20:18",
"content": "Ok no worries",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059279979348762600,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:20:27",
"content": "Still the same principle",
"attachments": [],
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"reference": null
},
{
"id": 1059280005626081400,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:20:33",
"content": "How do we find x?",
"attachments": [],
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"reference": null
},
{
"id": 1059280082071474200,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:20:52",
"content": "x=9/4*7",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059280118855508100,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:21:00",
"content": "(9/4)*7",
"attachments": [],
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"reference": null
},
{
"id": 1059280133539778700,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:21:04",
"content": "Yep",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059280208932388900,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:21:22",
"content": "Now we can rewrite 9/4 as 2.25",
"attachments": [],
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"reference": null
},
{
"id": 1059280237743054800,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:21:29",
"content": "oh ok",
"attachments": [],
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"reference": null
},
{
"id": 1059280262929862800,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:21:35",
"content": "So ye",
"attachments": [],
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"reference": null
},
{
"id": 1059280289785983000,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:21:41",
"content": "so",
"attachments": [],
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"reference": null
},
{
"id": 1059280311315341300,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:21:46",
"content": "x = 2.25 * 7",
"attachments": [],
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},
{
"id": 1059280341308801200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:21:53",
"content": "Yep",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059280368664064000,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:22:00",
"content": "ohh ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059280395398561900,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:22:06",
"content": "Or",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059280430215467000,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:22:15",
"content": "9*7/4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059280477040681000,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:22:26",
"content": "so 63/4",
"attachments": [],
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},
{
"id": 1059280535337324700,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:22:40",
"content": "Yep",
"attachments": [],
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"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:22:48",
"content": "Exactly",
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"author_name": "shu",
"timestamp": "01/01/2023 20:22:58",
"content": "ohh ok",
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"author_name": "shu",
"timestamp": "01/01/2023 20:23:09",
"content": "could u help me with one more?",
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"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:23:15",
"content": "Sure :librasmile:",
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"author_name": "shu",
"timestamp": "01/01/2023 20:23:29",
"content": "2.6:n = 4.8:1.2",
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"id": 1059280775633195000,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:23:37",
"content": "Ratios nicee",
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"id": 1059280782365032400,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:23:39",
"content": "Okay",
"attachments": [],
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},
{
"id": 1059280820298330100,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:23:48",
"content": "What's the problem here?",
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"id": 1059280845900353700,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:23:54",
"content": "i need to find n",
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"id": 1059280847745847300,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:23:54",
"content": "Or what do you find difficult?",
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"id": 1059280876946600100,
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"author_name": "shu",
"timestamp": "01/01/2023 20:24:01",
"content": "idk where to start for ratios",
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"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:24:22",
"content": "Ohh well you write the ratios as fractions",
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"id": 1059280988607352800,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:24:28",
"content": "yup",
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"id": 1059281126981636200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:25:01",
"content": "What will the equation be with fractions?",
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{
"id": 1059281184007389200,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:25:14",
"content": "wait",
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{
"id": 1059281193478127600,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:25:17",
"content": "one question",
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"id": 1059281221550612500,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:25:23",
"content": "what would the \" : \" be",
"attachments": [],
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},
{
"id": 1059281242002043000,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:25:28",
"content": "in fractions",
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},
{
"id": 1059281267641831400,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:25:34",
"content": "Oh it means /",
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{
"id": 1059281296569937900,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:25:41",
"content": "oh so",
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{
"id": 1059281354807836800,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:25:55",
"content": "2.6 / n = 4.8 / 1.2",
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},
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"id": 1059281450802876500,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:26:18",
"content": "Okay",
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},
{
"id": 1059281477164077200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:26:24",
"content": "Cross multiply",
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"id": 1059281606239588400,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:26:55",
"content": "$\\frac{2.6}{n} = \\frac{4.8}{1.2}$",
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"id": 1059281686304665700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/01/2023 20:27:14",
"content": "**VulcanOne**",
"attachments": [
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"id": 1059282246974062700,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:29:28",
"content": "sorry",
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},
{
"id": 1059282252321792000,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:29:29",
"content": "i went afk",
"attachments": [],
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},
{
"id": 1059282267639390300,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:29:33",
"content": "ok",
"attachments": [],
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{
"id": 1059282271833706500,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:29:34",
"content": "so",
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},
{
"id": 1059282302649249800,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:29:41",
"content": "2.6 * 1.2 = n * 4.8",
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},
{
"id": 1059282392533184600,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:30:02",
"content": "Yep",
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},
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"id": 1059283073507799200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:32:45",
"content": "@shu",
"attachments": [],
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{
"id": 1059283097889280100,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:32:51",
"content": "What's next?",
"attachments": [],
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},
{
"id": 1059283306690125800,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:33:40",
"content": "oh sorry",
"attachments": [],
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},
{
"id": 1059283451364266100,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:34:15",
"content": "n * 4.8 = 3.12",
"attachments": [],
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},
{
"id": 1059283499607142400,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:34:26",
"content": "then u mutliply by 100",
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},
{
"id": 1059283541566959700,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:34:36",
"content": "Both sides yeah",
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},
{
"id": 1059283585858818200,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:34:47",
"content": "yea",
"attachments": [],
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},
{
"id": 1059283588673175600,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:34:48",
"content": "so",
"attachments": [],
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},
{
"id": 1059283617878122600,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:34:55",
"content": "480n = 312",
"attachments": [],
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},
{
"id": 1059283678020247600,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:35:09",
"content": "480n/480 = 312/480",
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},
{
"id": 1059283717933244400,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:35:18",
"content": "n = 13/20",
"attachments": [],
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},
{
"id": 1059283746085421000,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:35:25",
"content": "No wait",
"attachments": [],
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},
{
"id": 1059283775705600100,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:35:32",
"content": "Yeah",
"attachments": [],
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},
{
"id": 1059283797666967700,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:35:37",
"content": "You got it right yeah",
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},
{
"id": 1059283807808798700,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:35:40",
"content": "okk",
"attachments": [],
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},
{
"id": 1059283816734265500,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:35:42",
"content": "so",
"attachments": [],
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},
{
"id": 1059283841640050700,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:35:48",
"content": "its",
"attachments": [],
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"reference": null
},
{
"id": 1059283921319243900,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:36:07",
"content": "2.6 : 13.2 = 4.8 : 1.2",
"attachments": [],
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},
{
"id": 1059283928806068400,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:36:09",
"content": "?",
"attachments": [],
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{
"id": 1059284032879329300,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:36:33",
"content": "Nope",
"attachments": [],
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},
{
"id": 1059284063782977700,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:36:41",
"content": "oh",
"attachments": [],
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},
{
"id": 1059284082485375000,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:36:45",
"content": "do i habe to divide by 100",
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"id": 1059284090295160800,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:36:47",
"content": "n = 13/20",
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},
{
"id": 1059284121769222300,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:36:55",
"content": "No no it's fine",
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{
"id": 1059284173078155300,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:37:07",
"content": "so its just",
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{
"id": 1059284215738409000,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:37:17",
"content": "2.6 : 13/20 = 4.8 : 1.2",
"attachments": [],
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},
{
"id": 1059284272873230300,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:37:31",
"content": "Yep",
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},
{
"id": 1059284440645378200,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:38:11",
"content": "oh ok",
"attachments": [],
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},
{
"id": 1059284515576614900,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:38:29",
"content": "You're pretty good",
"attachments": [],
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},
{
"id": 1059284529195532400,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:38:32",
"content": "tyy",
"attachments": [],
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},
{
"id": 1059284551697973400,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:38:37",
"content": "Keep it up",
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},
{
"id": 1059284569477615600,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:38:41",
"content": "also could u help with just one more :')",
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"id": 1059284589664800900,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:38:46",
"content": "Okay",
"attachments": [],
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},
{
"id": 1059284596618973200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:38:48",
"content": ":)",
"attachments": [],
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},
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"id": 1059284628365656200,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:38:55",
"content": "okk tysm",
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{
"id": 1059284674985345000,
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"author_name": "shu",
"timestamp": "01/01/2023 20:39:07",
"content": "10/2 = 48/x = z/5",
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},
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"id": 1059284774683934700,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:39:30",
"content": "Ooo",
"attachments": [],
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},
{
"id": 1059284781071880300,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:39:32",
"content": "so first i would like do",
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"id": 1059284800038522900,
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"timestamp": "01/01/2023 20:39:36",
"content": "10/2 = 48/x",
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},
{
"id": 1059284805524668400,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:39:38",
"content": "i think",
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},
{
"id": 1059284882481762400,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:39:56",
"content": "and then whatever i get from that i do __ = z/5",
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{
"id": 1059284999838376000,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:40:24",
"content": "Yep yep",
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},
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"id": 1059285036114923600,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:40:33",
"content": "Exactly",
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},
{
"id": 1059285142750892000,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:40:58",
"content": "i thought it was the same as the first question but",
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{
"id": 1059285186224869500,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:41:08",
"content": "the x is on the buttom",
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},
{
"id": 1059285200133169200,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:41:12",
"content": "so idk what to do",
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},
{
"id": 1059285297499754600,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:41:35",
"content": "Well the one with 2.6/n is similar",
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},
{
"id": 1059285459592806500,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:42:14",
"content": "oh ok",
"attachments": [],
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},
{
"id": 1059285747812806700,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:43:22",
"content": "so cross multiply",
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"id": 1059285759661711500,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:43:25",
"content": "Yeah",
"attachments": [],
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},
{
"id": 1059285761163272300,
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"author_name": "shu",
"timestamp": "01/01/2023 20:43:26",
"content": "i think",
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"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:43:38",
"content": "10x = 96",
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},
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"id": 1059285844323733500,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:43:45",
"content": "and then u divide both sides by ten",
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},
{
"id": 1059285847343628400,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:43:46",
"content": "so",
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},
{
"id": 1059286008379740300,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:44:24",
"content": "x = 48/5",
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},
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"id": 1059286017892438000,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:44:27",
"content": "Yep",
"attachments": [],
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},
{
"id": 1059286139263013000,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:44:56",
"content": "so its 48/48/5 = z/5",
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{
"id": 1059286141859266600,
"author_id": 733851428388602000,
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"timestamp": "01/01/2023 20:44:56",
"content": "?",
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"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:45:14",
"content": "48/(48/5) = z/5",
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"id": 1059286235375489200,
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"author_name": "shu",
"timestamp": "01/01/2023 20:45:19",
"content": "ohh",
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"id": 1059286371681960100,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:45:51",
"content": "so then cross again?",
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},
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"id": 1059286417462804600,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:46:02",
"content": "Yep",
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},
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"id": 1059286480784216200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:46:17",
"content": "48z/5 = 48*5",
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},
{
"id": 1059286516666474500,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:46:26",
"content": "okk",
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},
{
"id": 1059286696736325600,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:47:09",
"content": "so",
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},
{
"id": 1059286725861572600,
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"author_name": "shu",
"timestamp": "01/01/2023 20:47:16",
"content": "48z/5 = 240",
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},
{
"id": 1059286860330967200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:47:48",
"content": "Yep",
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},
{
"id": 1059286887023517800,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:47:54",
"content": "ok so",
"attachments": [],
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},
{
"id": 1059286907437187100,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:47:59",
"content": "u times 5 on both sides",
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},
{
"id": 1059286924038250500,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:48:03",
"content": "to remove the 5 of the left sied",
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},
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"id": 1059286948398768100,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:48:09",
"content": "Yep",
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},
{
"id": 1059286952626634900,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:48:10",
"content": "so its 48z=240*5",
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},
{
"id": 1059287245124800500,
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"author_name": "shu",
"timestamp": "01/01/2023 20:49:19",
"content": "and then u divide 48 both sides",
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},
{
"id": 1059287248199237800,
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"author_name": "shu",
"timestamp": "01/01/2023 20:49:20",
"content": "so",
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},
{
"id": 1059287307972268200,
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"author_name": "shu",
"timestamp": "01/01/2023 20:49:34",
"content": "z=25",
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},
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"id": 1059287442592645200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:50:06",
"content": "Mhm",
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},
{
"id": 1059287535827824800,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:50:29",
"content": "okk",
"attachments": [],
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},
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"id": 1059287602114605200,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:50:44",
"content": "i got this another question",
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},
{
"id": 1059287625137143900,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:50:50",
"content": "but its almost the same i think",
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},
{
"id": 1059287645055885400,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:50:55",
"content": "it has a decimal tho",
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},
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"id": 1059287704866656300,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:51:09",
"content": "Well you can deal with decimals pretty nicely",
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},
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"id": 1059287727306178600,
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"author_name": "shu",
"timestamp": "01/01/2023 20:51:14",
"content": "*100 ?",
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"id": 1059287805915832300,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:51:33",
"content": "Well depends on how many numbers after decimal point'",
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},
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"id": 1059287822797918300,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:51:37",
"content": "the question is",
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},
{
"id": 1059287862471827600,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:51:47",
"content": "6.4/8 = 18/y",
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},
{
"id": 1059287934152483000,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:52:04",
"content": "Well you multiply both sides by 10",
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},
{
"id": 1059288006797819900,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:52:21",
"content": "Not 100 because 6.4 has 1 decimal place after it",
"attachments": [],
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},
{
"id": 1059288034144702600,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:52:27",
"content": "ohh ok",
"attachments": [],
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},
{
"id": 1059288325955010600,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:53:37",
"content": "Yep",
"attachments": [],
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"reference": null
},
{
"id": 1059288399883800600,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:53:55",
"content": "ok so",
"attachments": [],
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"reference": null
},
{
"id": 1059288599109062700,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:54:42",
"content": "(6.4*10)/8",
"attachments": [],
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"reference": null
},
{
"id": 1059288607845777400,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:54:44",
"content": "=",
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},
{
"id": 1059288632772546600,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:54:50",
"content": "(18/y)*10?",
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},
{
"id": 1059289081714049000,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:56:37",
"content": "Yep",
"attachments": [],
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"reference": null
},
{
"id": 1059289132150554800,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 20:56:49",
"content": "It will be 64/8 = 180/y",
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},
{
"id": 1059289886592610300,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:59:49",
"content": "ok tyy",
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},
{
"id": 1059289891265065100,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:59:50",
"content": "i got it",
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},
{
"id": 1059289923607343100,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 20:59:58",
"content": "tysm again",
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"reference": null
},
{
"id": 1059289933895962600,
"author_id": 733851428388602000,
"author_name": "shu",
"timestamp": "01/01/2023 21:00:00",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059289936475463700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 21:00:01",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
df274df9e60f4f4dba15e076bd65cc64
|
200,470 |
[
{
"id": 1059290170739925100,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 21:00:57",
"content": ":librasmile:",
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"reference": null
},
{
"id": 1059290188175650800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 21:01:01",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059294054761893900,
"author_id": 763733310240587800,
"author_name": "cow",
"timestamp": "01/01/2023 21:16:23",
"content": "",
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{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059294054321500170/silentnope.mp3",
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"fileSizeBytes": 150883
}
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},
{
"id": 1059294057597255700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 21:16:24",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1059294054761893900,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1059294146050936800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/01/2023 21:16:45",
"content": "What is this",
"attachments": [],
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{
"id": 763733310240587800,
"name": "cow",
"discriminator": "5880",
"nickname": "cow",
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{
"id": 1059294169832624300,
"author_id": 763733310240587800,
"author_name": "cow",
"timestamp": "01/01/2023 21:16:50",
"content": "its nope",
"attachments": [],
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"reference": null
},
{
"id": 1059294225507827700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/01/2023 21:17:04",
"content": "Why are you putting it in a help channel",
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"mentions": [],
"reference": null
},
{
"id": 1059294281099120800,
"author_id": 763733310240587800,
"author_name": "cow",
"timestamp": "01/01/2023 21:17:17",
"content": "help with memes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059294344261161100,
"author_id": 763733310240587800,
"author_name": "cow",
"timestamp": "01/01/2023 21:17:32",
"content": "i can put it in cat channel",
"attachments": [],
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"reference": null
},
{
"id": 1059294406185865300,
"author_id": 763733310240587800,
"author_name": "cow",
"timestamp": "01/01/2023 21:17:47",
"content": "or anyother channel if wanted",
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"reference": null
},
{
"id": 1059294863838945400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/01/2023 21:19:36",
"content": "#chill for memes",
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"reference": null
},
{
"id": 1059295206530359400,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 21:20:57",
"content": "Bad meme even",
"attachments": [],
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"reference": null
},
{
"id": 1059295221646622700,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 21:21:01",
"content": "Super distorted",
"attachments": [],
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"reference": null
},
{
"id": 1059295256719413200,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 21:21:09",
"content": ":hmmCat:",
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},
{
"id": 1059296248919773300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/01/2023 21:25:06",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059296251742519300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 21:25:07",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
8cecbba3197f4e9aa25daf7c37c1ad7e
|
200,471 |
[
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"id": 1059296582396284900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 21:26:26",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059311499107119100,
"author_id": 518263727641067500,
"author_name": "RMS",
"timestamp": "01/01/2023 22:25:42",
"content": "help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059311501053284400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 22:25:42",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1059311499107119100,
"channelId": 486844875632017400,
"guildId": null
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"id": 1059311638399950800,
"author_id": 518263727641067500,
"author_name": "RMS",
"timestamp": "01/01/2023 22:26:15",
"content": "",
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{
"id": 1059314609410015500,
"author_id": 362166897770233860,
"author_name": "Certified Thot Slayer",
"timestamp": "01/01/2023 22:38:03",
"content": "oh man chemistry this is giving me PTSD",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059314910938538100,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/01/2023 22:39:15",
"content": "find the enthalpy equation",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059315081877393500,
"author_id": 518263727641067500,
"author_name": "RMS",
"timestamp": "01/01/2023 22:39:56",
"content": "q=mcat",
"attachments": [],
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"reference": null
},
{
"id": 1059315172633747500,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/01/2023 22:40:18",
"content": "what do each of the variables mean",
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},
{
"id": 1059315387713458200,
"author_id": 518263727641067500,
"author_name": "RMS",
"timestamp": "01/01/2023 22:41:09",
"content": "well... q = the answer (obv) m=mass c=water ionisation constant",
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},
{
"id": 1059315428477894700,
"author_id": 518263727641067500,
"author_name": "RMS",
"timestamp": "01/01/2023 22:41:19",
"content": "delta T is change in temp",
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},
{
"id": 1059315490914320500,
"author_id": 518263727641067500,
"author_name": "RMS",
"timestamp": "01/01/2023 22:41:34",
"content": "I just did the math and i got 21.40 but the answer says 107.008 and I'm hella confused rn",
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},
{
"id": 1059318831606140900,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/01/2023 22:54:50",
"content": "what is `c` (it's value)?",
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},
{
"id": 1059319989120802800,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/01/2023 22:59:26",
"content": "what did you plug in for each of the masses too",
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},
{
"id": 1059320010046185600,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/01/2023 22:59:31",
"content": "show your work please",
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},
{
"id": 1059320498242199600,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/01/2023 23:01:28",
"content": "C is the specific heat constant",
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"timestamp": "01/01/2023 23:01:53",
"content": "Hmm",
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},
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"author_id": 1000057838007226500,
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"timestamp": "01/01/2023 23:02:02",
"content": "I feel dumb now",
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},
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"id": 1059320667662717000,
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"author_name": "VulcanOne",
"timestamp": "01/01/2023 23:02:08",
"content": ":ded:",
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"id": 1059320780611133400,
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"author_name": "dldh06",
"timestamp": "01/01/2023 23:02:35",
"content": "Good thing we're in a math server and not a chem one",
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"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 23:07:35",
"content": "@RMS Has your question been resolved?",
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"timestamp": "01/01/2023 23:22:35",
"content": "Channel closed",
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}
] |
help-9
|
e2968001a3294773bea1c5d4c0052f81
|
200,472 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 23:23:36",
"content": "Available help channel!",
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},
{
"id": 1059333606327193600,
"author_id": 825892892685893600,
"author_name": "...1",
"timestamp": "01/01/2023 23:53:33",
"content": "good mornin USAAAA",
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},
{
"id": 1059333608428535800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/01/2023 23:53:33",
"content": "Pinned a message.",
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"timestamp": "01/01/2023 23:53:41",
"content": "could somebody tell me where I went wrong?",
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"timestamp": "01/02/2023 00:08:41",
"content": "@...1 Has your question been resolved?",
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"author_name": "Phearia",
"timestamp": "01/02/2023 00:09:06",
"content": "Double check the x+2",
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"content": "are you sure it's x+2?",
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"content": ":bleak:",
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"timestamp": "01/02/2023 00:14:23",
"content": "I believe you also made a mistake in the fourth line from the bottom",
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"content": "@...1 Has your question been resolved?",
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"timestamp": "01/02/2023 00:56:35",
"content": "Channel closed",
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}
] |
help-9
|
af5a3ce9a94d454188b5ba1170134a0f
|
200,473 |
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{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 00:57:35",
"content": "Available help channel!",
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"id": 1059365102320623600,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 01:58:42",
"content": "Hey im curious how to integrate the first function of this piece wise function,\nI currently want to find the Velocity function, then the Position function, which is two definite integrations in total, below i listed what i think i should do\n\ni think I would integrate the definite integral of (a) from 0 to R, this = aR which my velocity function\nnow integrate the definite integral of (aR) from 0 to R + (it's prior velocity), let's just say that our prior velocity is 0, this gives us aR^2 which is the position function\n\nis this true? i find it odd that at the end i don't get a variable i can plug different values of t into my position function, as a modeled object would change positions over time",
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"timestamp": "01/02/2023 01:58:43",
"content": "Pinned a message.",
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"author_name": "NoOne",
"timestamp": "01/02/2023 02:03:26",
"content": "are the bottoms ones et?",
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:04:00",
"content": "anything below a 0<t<R says etc, as in they dont really matter",
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"id": 1059366571077795800,
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"author_name": "NoOne",
"timestamp": "01/02/2023 02:04:32",
"content": "oh ok makes sense",
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"id": 1059366746055774200,
"author_id": 693344217853853700,
"author_name": "NoOne",
"timestamp": "01/02/2023 02:05:14",
"content": "the integration is atR",
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},
{
"id": 1059366832559104000,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:05:34",
"content": "for the velocity function or the position function",
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},
{
"id": 1059366868143575200,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:05:43",
"content": "and what did i do wrong to not get this result",
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},
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"id": 1059366933490835500,
"author_id": 693344217853853700,
"author_name": "NoOne",
"timestamp": "01/02/2023 02:05:59",
"content": "can you show your work?",
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{
"id": 1059367045180969100,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:06:25",
"content": "yeah",
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},
{
"id": 1059367250248876000,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:07:14",
"content": "first definite integral",
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"author_name": "NoOne",
"timestamp": "01/02/2023 02:07:35",
"content": "why do you not include the t for the final solution?",
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"timestamp": "01/02/2023 02:07:52",
"content": "well i plugged in r and 0 into t",
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:08:00",
"content": "aR - a0",
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"id": 1059367488623743000,
"author_id": 693344217853853700,
"author_name": "NoOne",
"timestamp": "01/02/2023 02:08:11",
"content": "it's atR - a(0) = atR",
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},
{
"id": 1059367571322839000,
"author_id": 693344217853853700,
"author_name": "NoOne",
"timestamp": "01/02/2023 02:08:31",
"content": "oh wait im wrong",
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{
"id": 1059367586762072000,
"author_id": 693344217853853700,
"author_name": "NoOne",
"timestamp": "01/02/2023 02:08:34",
"content": "sorry",
"attachments": [],
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},
{
"id": 1059367593422622700,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:08:36",
"content": "why do you not plug in r in the first thing and 0 in the second",
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},
{
"id": 1059367599206584400,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:08:37",
"content": "nw",
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},
{
"id": 1059367606848598000,
"author_id": 693344217853853700,
"author_name": "NoOne",
"timestamp": "01/02/2023 02:08:39",
"content": "its late",
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},
{
"id": 1059367641103474700,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:08:47",
"content": "lol i get you",
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"id": 1059368005957599200,
"author_id": 693344217853853700,
"author_name": "NoOne",
"timestamp": "01/02/2023 02:10:14",
"content": "so the positon is constant for any time?",
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{
"id": 1059368037549088800,
"author_id": 693344217853853700,
"author_name": "NoOne",
"timestamp": "01/02/2023 02:10:22",
"content": "since the fucntion = a",
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"id": 1059368173838803100,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:10:54",
"content": "well the funcntion a is an acceleration function",
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{
"id": 1059368211814043800,
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:11:03",
"content": "which is a constant",
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},
{
"id": 1059368226259226800,
"author_id": 693344217853853700,
"author_name": "NoOne",
"timestamp": "01/02/2023 02:11:07",
"content": "oh so the velocity is just the integral of it",
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},
{
"id": 1059368243116134400,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:11:11",
"content": "yeah",
"attachments": [],
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},
{
"id": 1059368346618953700,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:11:35",
"content": "i imagine we should get a variable in our velocity function (what i solved for) but i dont",
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},
{
"id": 1059368379300982900,
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:11:43",
"content": "i just get aR",
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},
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"author_id": 693344217853853700,
"author_name": "NoOne",
"timestamp": "01/02/2023 02:12:06",
"content": "velocity is also constant",
"attachments": [],
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},
{
"id": 1059368538378346500,
"author_id": 693344217853853700,
"author_name": "NoOne",
"timestamp": "01/02/2023 02:12:21",
"content": "rate",
"attachments": [],
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},
{
"id": 1059368554375413800,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:12:25",
"content": "well velocity should be changing throughout the t's we give it",
"attachments": [],
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},
{
"id": 1059368599896211500,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:12:36",
"content": "because we are constantly accelerating at a m/s",
"attachments": [],
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},
{
"id": 1059368702841200600,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:13:00",
"content": "which means we should be getting faster and faster, meaning velocity shouldnt be constant",
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},
{
"id": 1059368969271779300,
"author_id": 693344217853853700,
"author_name": "NoOne",
"timestamp": "01/02/2023 02:14:04",
"content": "what did u get for the second integral?",
"attachments": [],
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},
{
"id": 1059369014352162800,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:14:15",
"content": "i didnt do the second integral",
"attachments": [],
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},
{
"id": 1059369048472830000,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:14:23",
"content": "because the first one is wrong",
"attachments": [],
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},
{
"id": 1059369184712208400,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:14:55",
"content": "do you know what i did wrong?",
"attachments": [],
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},
{
"id": 1059370884319686800,
"author_id": 693344217853853700,
"author_name": "NoOne",
"timestamp": "01/02/2023 02:21:40",
"content": "The integration is correct",
"attachments": [],
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},
{
"id": 1059371025680302200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/02/2023 02:22:14",
"content": "What is R and why are you using that as a variable of time",
"attachments": [],
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},
{
"id": 1059371063013802000,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:22:23",
"content": "its not a variable",
"attachments": [],
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},
{
"id": 1059371075374424000,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:22:26",
"content": "its a constant",
"attachments": [],
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},
{
"id": 1059371117904666600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/02/2023 02:22:36",
"content": "Pick a better letter",
"attachments": [],
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},
{
"id": 1059371173126881400,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:22:49",
"content": "like what?",
"attachments": [],
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},
{
"id": 1059371226222559400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/02/2023 02:23:02",
"content": "S, T, tau",
"attachments": [],
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},
{
"id": 1059371252499873800,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:23:08",
"content": "ok",
"attachments": [],
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},
{
"id": 1059371404182704100,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:23:44",
"content": "but other than that am i right?",
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},
{
"id": 1059372163678863400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/02/2023 02:26:46",
"content": "Right about what? There's no well-defined question you're solving",
"attachments": [],
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},
{
"id": 1059372283472392200,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:27:14",
"content": "is this true, did i follow the correct steps",
"attachments": [],
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},
{
"id": 1059372341425078300,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:27:28",
"content": "the well defined question is here",
"attachments": [],
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},
{
"id": 1059372343455141900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/02/2023 02:27:28",
"content": "If what is true?",
"attachments": [],
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},
{
"id": 1059372391052087300,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:27:40",
"content": "i replied to it",
"attachments": [],
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},
{
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"timestamp": "01/02/2023 02:28:22",
"content": "You don't define the limits or variables",
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"content": "For velocity",
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"content": "yeah",
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"timestamp": "01/02/2023 02:29:02",
"content": "wait",
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"timestamp": "01/02/2023 02:29:12",
"content": "when i first integrate to get velocity?",
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"timestamp": "01/02/2023 02:29:35",
"content": "check the screenshot",
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"timestamp": "01/02/2023 02:30:17",
"content": "If acceleration is constant, then velocity is linear in time",
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"timestamp": "01/02/2023 02:30:27",
"content": "yeah",
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"timestamp": "01/02/2023 02:30:37",
"content": "You're not getting that because you're not providing enough information",
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"timestamp": "01/02/2023 02:30:45",
"content": "what more do i need to provide",
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"timestamp": "01/02/2023 02:30:55",
"content": ".",
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"timestamp": "01/02/2023 02:31:26",
"content": "the limits is 0 and T",
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"timestamp": "01/02/2023 02:31:31",
"content": "shown in the screenshot",
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"timestamp": "01/02/2023 02:31:48",
"content": "the variable (time ie t) is shown in A(t) in the screenshot",
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"timestamp": "01/02/2023 02:32:12",
"content": "You're going in the same circles again",
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"timestamp": "01/02/2023 02:32:20",
"content": "Please stop and just pick up a kinematics book",
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"timestamp": "01/02/2023 02:32:23",
"content": "i defined the limits and variables",
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"timestamp": "01/02/2023 02:32:43",
"content": "i gave you the information you exactly asked for",
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"timestamp": "01/02/2023 02:32:48",
"content": "Just send a picture of the actual problem",
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"timestamp": "01/02/2023 02:32:58",
"content": "well, this is a simplification",
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"timestamp": "01/02/2023 02:33:08",
"content": "this is the problem",
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"id": 1059373775579271200,
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"timestamp": "01/02/2023 02:33:10",
"content": "Thank you",
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"timestamp": "01/02/2023 02:33:11",
"content": "Lol",
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"timestamp": "01/02/2023 02:33:18",
"content": "Wow that's all you had to send",
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"timestamp": "01/02/2023 02:33:31",
"content": "but like i really just want to know how to use definite integrals",
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"timestamp": "01/02/2023 02:34:07",
"content": "You get that faster when you provide the entire context",
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"timestamp": "01/02/2023 02:34:17",
"content": "alright ill do that in the future",
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"timestamp": "01/02/2023 02:36:20",
"content": "i know i have to take the definite integral twice of my acceleration piecewise function, then i get a position piecwise function then a position function, but i initialy just use the double definite integral of -a, i can plug in 6T for t and find a",
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"timestamp": "01/02/2023 02:36:38",
"content": "but that really doesnt matter, i just need to understand how to use a definite integral",
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"timestamp": "01/02/2023 02:36:46",
"content": "in a piecewise function",
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"timestamp": "01/02/2023 02:37:09",
"content": "because the limits im using dont work",
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"timestamp": "01/02/2023 02:42:23",
"content": "You're conflating the limits in the piecewise definition with the limits of the integral",
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"timestamp": "01/02/2023 02:42:29",
"content": "They are not the same",
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"timestamp": "01/02/2023 02:42:34",
"content": "Use different variables for them",
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"id": 1059376255792861200,
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"timestamp": "01/02/2023 02:43:01",
"content": "v(s) = int 0 to s a(t)dt",
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"timestamp": "01/02/2023 02:43:29",
"content": "Calculate v(s) piecewise",
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"timestamp": "01/02/2023 02:43:47",
"content": "is v(s) velocity or acceleration",
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"timestamp": "01/02/2023 02:43:56",
"content": "oh wait",
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"timestamp": "01/02/2023 02:44:15",
"content": "ok so i can calculate that",
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"timestamp": "01/02/2023 02:44:25",
"content": "thats (as)",
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"timestamp": "01/02/2023 02:44:42",
"content": "BUT why are we using s as the upperbound when integrating",
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"timestamp": "01/02/2023 02:45:32",
"content": ".",
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:45:45",
"content": "what does conflating mean?",
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"timestamp": "01/02/2023 02:45:50",
"content": "...",
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"timestamp": "01/02/2023 02:46:05",
"content": "It’s not a math term lol.",
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"timestamp": "01/02/2023 02:46:15",
"content": "https://www.dictionary.com/browse/conflate",
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"timestamp": "01/02/2023 02:46:17",
"content": "it says combining two ideas into 1",
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"timestamp": "01/02/2023 02:46:46",
"content": "oh so i think the limits of the piecewise funciton are the same as the limits of the definite integral",
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"timestamp": "01/02/2023 02:46:58",
"content": "That's practically the definition of velocity",
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"timestamp": "01/02/2023 02:47:28",
"content": "yeah but idk how we find the limits of the definite integral",
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"timestamp": "01/02/2023 02:47:43",
"content": "v(s) is a function. s is a variable",
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"timestamp": "01/02/2023 02:48:00",
"content": "why do we start at 0",
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"timestamp": "01/02/2023 02:48:12",
"content": "Time",
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"timestamp": "01/02/2023 02:48:17",
"content": ".",
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"timestamp": "01/02/2023 02:48:39",
"content": "but later on we will be at a different time and our lower bound will be different",
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"timestamp": "01/02/2023 02:48:43",
"content": "how would you calculate that",
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"timestamp": "01/02/2023 02:48:53",
"content": "it HAS to rely on the piecewise limit in some way",
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"timestamp": "01/02/2023 02:48:56",
"content": "You're doing it again",
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"timestamp": "01/02/2023 02:49:05",
"content": "Yes it does",
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"timestamp": "01/02/2023 02:49:10",
"content": "how does it",
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"timestamp": "01/02/2023 02:49:13",
"content": "s< T is different from s>T",
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"timestamp": "01/02/2023 02:49:38",
"content": "i dont understand the importance",
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"id": 1059377923066429600,
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"timestamp": "01/02/2023 02:49:39",
"content": "v(s) is also piecewise since a(t) is piecewise",
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"timestamp": "01/02/2023 02:49:44",
"content": "yes",
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"timestamp": "01/02/2023 02:49:52",
"content": "Do the integral and find out",
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"timestamp": "01/02/2023 02:50:04",
"content": "i can do the integral",
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"timestamp": "01/02/2023 02:50:13",
"content": "i dont know how you got the limits of the integral",
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"timestamp": "01/02/2023 02:50:26",
"content": "Then you can't do the integral",
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"timestamp": "01/02/2023 02:50:46",
"content": "unless i am provided the limits i cant",
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"timestamp": "01/02/2023 02:50:55",
"content": "i only need to be able to find the limits",
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"timestamp": "01/02/2023 02:51:00",
"content": "s is the upper limit",
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"timestamp": "01/02/2023 02:51:07",
"content": "how do you know that",
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"timestamp": "01/02/2023 02:51:07",
"content": "0 is the lower by convention",
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"timestamp": "01/02/2023 02:51:17",
"content": "You can start your clock any time",
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"timestamp": "01/02/2023 02:51:33",
"content": "You're looking for v(s)",
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"timestamp": "01/02/2023 02:51:38",
"content": "ok i understand the lower bound",
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"timestamp": "01/02/2023 02:51:43",
"content": "Use the definition of velocity",
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"timestamp": "01/02/2023 02:51:57",
"content": "distance/time",
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"timestamp": "01/02/2023 02:52:14",
"content": "Those are the correct units",
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"timestamp": "01/02/2023 02:52:19",
"content": "That's not the definition",
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"timestamp": "01/02/2023 02:52:27",
"content": "whats the definition",
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"timestamp": "01/02/2023 02:52:29",
"content": "speed?",
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"timestamp": "01/02/2023 02:52:39",
"content": "idk how that helps",
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"timestamp": "01/02/2023 02:52:45",
"content": "Nope",
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"timestamp": "01/02/2023 02:53:03",
"content": "Your book should provide it",
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"timestamp": "01/02/2023 02:53:09",
"content": "the speed of something in a given direction",
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"timestamp": "01/02/2023 02:53:12",
"content": "Different books do it differently",
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"timestamp": "01/02/2023 02:53:22",
"content": "That's the concept of velocity",
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"timestamp": "01/02/2023 02:53:29",
"content": "You need the mathematical definition",
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:53:42",
"content": "Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt.",
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"timestamp": "01/02/2023 02:54:06",
"content": "this is the mathmatical defintion",
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"timestamp": "01/02/2023 02:54:15",
"content": "how does this help me?",
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"timestamp": "01/02/2023 02:54:33",
"content": "i just need to know how to find the upper limit of the integral",
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"timestamp": "01/02/2023 02:54:36",
"content": "which is s",
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 02:54:41",
"content": "i just dont know how we got that",
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"timestamp": "01/02/2023 02:54:52",
"content": "This is the relevant definition for your problem",
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"timestamp": "01/02/2023 02:55:09",
"content": "If you weren't taught how to derive it, you should do that first",
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"timestamp": "01/02/2023 02:55:13",
"content": "it is but i dont know how you got the s in 0 to s",
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"timestamp": "01/02/2023 02:55:34",
"content": "i wasnt taught how to derive the s",
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"timestamp": "01/02/2023 02:55:43",
"content": "There's nothing to derive about s",
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"timestamp": "01/02/2023 02:55:48",
"content": "It's a dummy variable for time",
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"timestamp": "01/02/2023 02:55:54",
"content": "You can call it anything",
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"timestamp": "01/02/2023 02:56:05",
"content": "but like why is it s why isnt it a constant",
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"timestamp": "01/02/2023 02:56:10",
"content": "I just couldn't use t because that's already taken",
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"timestamp": "01/02/2023 02:56:25",
"content": "Why do you think",
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"timestamp": "01/02/2023 02:56:33",
"content": "Why is time not constant?",
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"timestamp": "01/02/2023 02:57:19",
"content": "im not sure actually, because im imagining we are taking the area under the curve from a point (0) to a defined point",
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"timestamp": "01/02/2023 02:57:32",
"content": "time isnt constant because time moves",
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"timestamp": "01/02/2023 02:57:36",
"content": "ie a variable",
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"timestamp": "01/02/2023 02:57:48",
"content": "You answered your own question",
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"timestamp": "01/02/2023 02:58:08",
"content": "why does it matter that we are using time there",
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"timestamp": "01/02/2023 02:58:22",
"content": "What",
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"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/02/2023 02:58:39",
"content": "Why does velocity depend on time?",
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"author_name": "thecarefulradical",
"timestamp": "01/02/2023 02:58:41",
"content": "OMEGALUL",
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"timestamp": "01/02/2023 02:58:44",
"content": "i dont understand the answer",
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"timestamp": "01/02/2023 02:58:58",
"content": ".",
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"timestamp": "01/02/2023 02:58:59",
"content": "First region is 0<t<T",
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"timestamp": "01/02/2023 02:59:02",
"content": "because speed/time",
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"timestamp": "01/02/2023 02:59:18",
"content": "This is an absurd answer",
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"timestamp": "01/02/2023 02:59:26",
"content": "I'm not getting through to you",
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"timestamp": "01/02/2023 02:59:34",
"content": "Good luck @NoOne",
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"timestamp": "01/02/2023 02:59:41",
"content": "v(t)",
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"timestamp": "01/02/2023 02:59:51",
"content": "t is a variable",
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"timestamp": "01/02/2023 02:59:53",
"content": "yes",
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:00:22",
"content": "because we plug in our time and it changes our velocity (if t is include in what v(t) ='s)",
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"timestamp": "01/02/2023 03:00:28",
"content": "^",
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"timestamp": "01/02/2023 03:00:48",
"content": "i understand that, but i dont know why we are using speed in the first place",
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"timestamp": "01/02/2023 03:00:55",
"content": "yes velocity does depend on it",
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"timestamp": "01/02/2023 03:01:22",
"content": "but like all i understand now is we do it because it makes it work",
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"timestamp": "01/02/2023 03:01:28",
"content": "@riemann if time was constant then velocity is constant",
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"timestamp": "01/02/2023 03:01:36",
"content": "everything stops moving",
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"timestamp": "01/02/2023 03:01:48",
"content": "yes",
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"author_name": "thecarefulradical",
"timestamp": "01/02/2023 03:02:03",
"content": "or there are no more forces",
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"timestamp": "01/02/2023 03:02:14",
"content": "a force can only act with a variable time",
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"timestamp": "01/02/2023 03:02:20",
"content": "yeah",
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"timestamp": "01/02/2023 03:02:43",
"content": "this all feel like disconnected information",
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"timestamp": "01/02/2023 03:02:46",
"content": "You should really just re read whatever chapter you were on. You’re way too confused.",
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"timestamp": "01/02/2023 03:02:48",
"content": "i dont see the connection",
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"timestamp": "01/02/2023 03:03:05",
"content": "no its not in the book, its how to find the upper bound of a definite integral",
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"timestamp": "01/02/2023 03:03:18",
"content": "i looked through khan i looked through everything",
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"timestamp": "01/02/2023 03:03:42",
"content": "it only teaches piecewise functions with 0<x and variants of that",
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"timestamp": "01/02/2023 03:03:47",
"content": "never 0<x<T",
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"timestamp": "01/02/2023 03:03:53",
"content": "its not in the book",
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"timestamp": "01/02/2023 03:04:21",
"content": "Where did you find the problem then?",
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"timestamp": "01/02/2023 03:04:37",
"content": "on MIT's classical mechanics problem set",
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"timestamp": "01/02/2023 03:04:43",
"content": "pset1",
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"id": 1059381741137174700,
"author_id": 693344217853853700,
"author_name": "NoOne",
"timestamp": "01/02/2023 03:04:49",
"content": "Is there not a solution set?",
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"timestamp": "01/02/2023 03:04:52",
"content": "no",
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"timestamp": "01/02/2023 03:04:56",
"content": "well kinda",
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"content": "i have a solution set to it",
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"timestamp": "01/02/2023 03:05:21",
"content": "but it doesnt say how it got to its math",
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"timestamp": "01/02/2023 03:05:26",
"content": "The first region is 0<t<T",
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"timestamp": "01/02/2023 03:05:26",
"content": "it just says the math",
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"timestamp": "01/02/2023 03:05:28",
"content": "right",
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"timestamp": "01/02/2023 03:05:34",
"content": "Second is T<t<4T",
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"timestamp": "01/02/2023 03:05:37",
"content": "yes",
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:05:59",
"content": "and i want to find the area under the curve of the first region",
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"timestamp": "01/02/2023 03:06:14",
"content": "which is a definite integral",
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"timestamp": "01/02/2023 03:06:30",
"content": "how to find the limits? well i know a lower bound",
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"timestamp": "01/02/2023 03:06:38",
"content": "but idk how to get the upperbound",
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"timestamp": "01/02/2023 03:07:00",
"content": "^ this is the only thing im confused about",
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"timestamp": "01/02/2023 03:07:28",
"content": "It’s just aT",
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"timestamp": "01/02/2023 03:07:44",
"content": "that means velocity is constant despite us accelerating",
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"timestamp": "01/02/2023 03:08:06",
"content": "if we accelerate at a rate of (a) then that means velocity has to change",
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"timestamp": "01/02/2023 03:08:34",
"content": "T is a time interval",
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"timestamp": "01/02/2023 03:08:45",
"content": "yes",
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"timestamp": "01/02/2023 03:08:50",
"content": "but its a constant",
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"timestamp": "01/02/2023 03:09:01",
"content": "What do you mean?",
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"timestamp": "01/02/2023 03:09:03",
"content": "wait no T is not a time interval",
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"timestamp": "01/02/2023 03:09:06",
"content": "T is a constant",
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"timestamp": "01/02/2023 03:09:10",
"content": "The acceleration is constant over the interval T",
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"timestamp": "01/02/2023 03:09:16",
"content": "yeah",
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"timestamp": "01/02/2023 03:09:19",
"content": "So",
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"timestamp": "01/02/2023 03:09:22",
"content": "but the velocity is not",
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"timestamp": "01/02/2023 03:09:37",
"content": "meaning our velocity function HAS to have a variable",
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"timestamp": "01/02/2023 03:10:06",
"content": "T is an interval of time",
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"timestamp": "01/02/2023 03:10:16",
"content": "It’s not a constant",
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"timestamp": "01/02/2023 03:10:32",
"content": "T is equivelent to saying x=1 or x=2, x=T",
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"timestamp": "01/02/2023 03:10:42",
"content": "where is it shown its an interval",
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"timestamp": "01/02/2023 03:11:55",
"content": "You could also see it as velocity starts from rest so initial velocity = 0\nSo v1 = 0 + at",
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"timestamp": "01/02/2023 03:12:11",
"content": "at",
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"timestamp": "01/02/2023 03:12:14",
"content": "not aT",
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"timestamp": "01/02/2023 03:12:25",
"content": "t=T",
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"timestamp": "01/02/2023 03:12:31",
"content": "no",
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"content": "",
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"timestamp": "01/02/2023 03:12:53",
"content": "T is a distance",
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"timestamp": "01/02/2023 03:12:56",
"content": "t is time",
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"timestamp": "01/02/2023 03:13:16",
"content": "yes?",
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"timestamp": "01/02/2023 03:14:15",
"content": "from a(t) is the acceleration on the t axis",
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"timestamp": "01/02/2023 03:14:40",
"content": "well the t represents time, and the y axis represents how much acceleration exists",
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"timestamp": "01/02/2023 03:15:49",
"content": "Just checked the solution and I’m right",
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"timestamp": "01/02/2023 03:16:05",
"content": "v1 = at",
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"timestamp": "01/02/2023 03:16:10",
"content": "yes",
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"timestamp": "01/02/2023 03:16:13",
"content": "not aT",
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"timestamp": "01/02/2023 03:17:20",
"content": "i just have no idea how we have the upperbound of t",
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"timestamp": "01/02/2023 03:17:41",
"content": "why not b, 6, r^2",
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"timestamp": "01/02/2023 03:18:00",
"content": "r^2? How did you come up with t that?",
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"timestamp": "01/02/2023 03:18:13",
"content": "all of those are random numbers",
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"timestamp": "01/02/2023 03:18:18",
"content": "i came up with them",
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"timestamp": "01/02/2023 03:18:23",
"content": "why are they not them",
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"timestamp": "01/02/2023 03:18:32",
"content": "why is the upperbound t and not some random number",
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"timestamp": "01/02/2023 03:18:48",
"content": "These problems all have procedural solutions.",
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"timestamp": "01/02/2023 03:18:58",
"content": "So I’m surprised you’re coming up with random numbers",
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"timestamp": "01/02/2023 03:19:46",
"content": "these random numbers are to support my point. why is the upperbound of our definite integral t",
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"timestamp": "01/02/2023 03:19:51",
"content": "@SnowZillin are you trying to reinvent kinematics?",
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"timestamp": "01/02/2023 03:19:55",
"content": "why not b",
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"timestamp": "01/02/2023 03:20:01",
"content": "why not 7",
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"timestamp": "01/02/2023 03:20:02",
"content": "etc",
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"timestamp": "01/02/2023 03:20:08",
"content": "?",
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"timestamp": "01/02/2023 03:20:41",
"content": "we have the definite integral of a from 0 to t",
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"timestamp": "01/02/2023 03:20:49",
"content": "why is t our upperlimit",
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"content": "thats it",
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"timestamp": "01/02/2023 03:21:54",
"content": "https://physics.info/kinematics-calculus",
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"timestamp": "01/02/2023 03:21:59",
"content": "Read",
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"timestamp": "01/02/2023 03:22:45",
"content": "the whole thing is nessesary to explain finding the upper bound of a definite integral???",
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"timestamp": "01/02/2023 03:23:18",
"content": "T is the upper bound",
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"timestamp": "01/02/2023 03:23:29",
"content": "why",
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"timestamp": "01/02/2023 03:23:52",
"content": "Look at the graph",
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"timestamp": "01/02/2023 03:23:59",
"content": "what graph",
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"timestamp": "01/02/2023 03:24:06",
"content": "From the problem",
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"timestamp": "01/02/2023 03:24:10",
"content": "ok",
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"timestamp": "01/02/2023 03:24:21",
"content": "Your answer's in there. If you don't want to learn, that's on you",
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"timestamp": "01/02/2023 03:24:23",
"content": "why is it T",
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"content": "i dont believe you",
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"timestamp": "01/02/2023 03:24:31",
"content": "What do you know about integrals?",
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"timestamp": "01/02/2023 03:24:49",
"content": "That's your mistake",
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"timestamp": "01/02/2023 03:24:53",
"content": "i know a lot about infinite integrals",
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:25:04",
"content": "but definite integrals not so much",
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:25:25",
"content": "why are we talking about this now?",
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:25:35",
"content": "how does this relate to this",
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"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/02/2023 03:26:16",
"content": "How does one know \"a lot about infinite integrals\" without learning definite integrals?",
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:26:34",
"content": "i forgot",
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"author_name": "riemann",
"timestamp": "01/02/2023 03:26:38",
"content": "I don't think integrals are the issue anyway",
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"timestamp": "01/02/2023 03:26:43",
"content": "NO",
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:26:49",
"content": "THEY VERY MUCH ARE",
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"author_name": "NoOne",
"timestamp": "01/02/2023 03:26:54",
"content": "So re read it",
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"id": 1059387310468247600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/02/2023 03:26:57",
"content": "It's just a definition they're unwilling to accept",
"attachments": [],
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:26:59",
"content": "its not there",
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:27:07",
"content": "i told u i searched khan",
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"id": 1059387362502791200,
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"author_name": "riemann",
"timestamp": "01/02/2023 03:27:09",
"content": "That's explained here",
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"author_name": "NoOne",
"timestamp": "01/02/2023 03:27:12",
"content": "The mit students are able to solve it",
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"author_id": 693344217853853700,
"author_name": "NoOne",
"timestamp": "01/02/2023 03:27:18",
"content": "They’re not using magic",
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"author_name": "riemann",
"timestamp": "01/02/2023 03:27:30",
"content": "FTC = magic",
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:27:33",
"content": "they are using definite integrals with upper bounds",
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"timestamp": "01/02/2023 03:27:39",
"content": "i asked you why",
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"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:27:44",
"content": "why is our upperbound t",
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"id": 1059387539565314000,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:27:51",
"content": "and you diverted to this",
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"id": 1059387552261476400,
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"author_name": "riemann",
"timestamp": "01/02/2023 03:27:54",
"content": "Type less. Read more",
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"id": 1059387575778938900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/02/2023 03:28:00",
"content": ".",
"attachments": [],
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"id": 1059387602236620800,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:28:06",
"content": "no i dont believe you",
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"id": 1059387633610010600,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:28:14",
"content": "ive skimmed it",
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"id": 1059387660503883800,
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:28:20",
"content": "it doesnt look to explain it",
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"id": 1059387703575191600,
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"timestamp": "01/02/2023 03:28:31",
"content": "Uh huh",
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:28:46",
"content": "if it does it provides a similar explination you gave, makes sense in your eyes, not mine",
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"id": 1059387794570616800,
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:28:52",
"content": "and hang on",
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"id": 1059387822966054900,
"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:28:59",
"content": "you said its a definition ill have to accept",
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"id": 1059387876544086000,
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:29:12",
"content": "there isnt a reason to our upperbound",
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"id": 1059387890750197800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/02/2023 03:29:15",
"content": "You like making stuff up to prove your point?",
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"timestamp": "01/02/2023 03:29:16",
"content": "its a definition",
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:29:30",
"content": "im predicting what ill find",
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"timestamp": "01/02/2023 03:29:43",
"content": "i predict i would find a similar explination",
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"id": 1059388023445397500,
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"timestamp": "01/02/2023 03:29:47",
"content": ".",
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"author_id": 618992877846134800,
"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:30:07",
"content": "well, i understand the how",
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:30:16",
"content": "ill figure out the why later",
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"id": 1059388160116801500,
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"author_name": "SnowZillin",
"timestamp": "01/02/2023 03:30:19",
"content": ".close",
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},
{
"id": 1059388162604027900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 03:30:20",
"content": "Channel closed",
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}
] |
help-9
|
799fd32ac3c448cc8f9739ac921f42e1
|
200,474 |
[
{
"id": 1059388415117885400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 03:31:20",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1059398916124188800,
"author_id": 202387743504990200,
"author_name": "Kin",
"timestamp": "01/02/2023 04:13:04",
"content": "",
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"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 04:13:05",
"content": "Pinned a message.",
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{
"id": 1059399290088341500,
"author_id": 202387743504990200,
"author_name": "Kin",
"timestamp": "01/02/2023 04:14:33",
"content": "I got problem on getting the first 2 components for s1, s2. (marked with red pen)\n\nI know we can substitute back s1, s2 to the original equation to determine the first 2 components.\n\nBut why the book author said, we can simply lookup the third column of the matrix, and get the first component of the solution?\n\nThey are in different locations. \n\nThank you",
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"timestamp": "01/02/2023 04:29:33",
"content": "@Kin Has your question been resolved?",
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"timestamp": "01/02/2023 04:59:39",
"content": "@Kin Has your question been resolved?",
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"timestamp": "01/02/2023 04:59:54",
"content": ".close",
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},
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"id": 1059410703632576500,
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"timestamp": "01/02/2023 04:59:54",
"content": "Channel closed",
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}
] |
help-9
|
467bc387521c4c3a90457cab41ce16bf
|
200,475 |
[
{
"id": 1059410956393914400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 05:00:54",
"content": "Available help channel!",
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},
{
"id": 1059419465802055800,
"author_id": 886808098210214000,
"author_name": "Twin Turbo",
"timestamp": "01/02/2023 05:34:43",
"content": "Arithmetic sequences",
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},
{
"id": 1059419468809384000,
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"timestamp": "01/02/2023 05:34:44",
"content": "Pinned a message.",
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{
"id": 1059419736422744000,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "01/02/2023 05:35:48",
"content": "What's your question?",
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},
{
"id": 1059419857092870100,
"author_id": 886808098210214000,
"author_name": "Twin Turbo",
"timestamp": "01/02/2023 05:36:17",
"content": "hold on im figuring out a way to explain it",
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},
{
"id": 1059420129831694500,
"author_id": 886808098210214000,
"author_name": "Twin Turbo",
"timestamp": "01/02/2023 05:37:22",
"content": "lets say\n\nday 1 i get 1$\nday 2 i get 2+1$\nday 3 i get 3+2+1$\nso on so forth",
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{
"id": 1059420205211721900,
"author_id": 886808098210214000,
"author_name": "Twin Turbo",
"timestamp": "01/02/2023 05:37:39",
"content": "i got this formula to calculate how much money i would get for a certain day/term",
"attachments": [],
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},
{
"id": 1059420206855897200,
"author_id": 886808098210214000,
"author_name": "Twin Turbo",
"timestamp": "01/02/2023 05:37:40",
"content": "(n * (n + 1)) / 2",
"attachments": [],
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},
{
"id": 1059420301118668800,
"author_id": 886808098210214000,
"author_name": "Twin Turbo",
"timestamp": "01/02/2023 05:38:02",
"content": "but how would i calculate all the money i receive up until that day",
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},
{
"id": 1059420599157526500,
"author_id": 886808098210214000,
"author_name": "Twin Turbo",
"timestamp": "01/02/2023 05:39:13",
"content": "or do i just have to use the formula over and over again and add them",
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},
{
"id": 1059420711296446600,
"author_id": 886808098210214000,
"author_name": "Twin Turbo",
"timestamp": "01/02/2023 05:39:40",
"content": "for example, 5th day = (5 * (5 + 1)) / 2 = 15, what if i wanted the total of everything up until 5th day",
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{
"id": 1059420723136966700,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "01/02/2023 05:39:43",
"content": "So you mean 1 + (1 + 2) + (1 + 2 + 3) + ... ?",
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{
"id": 1059420776232656900,
"author_id": 886808098210214000,
"author_name": "Twin Turbo",
"timestamp": "01/02/2023 05:39:56",
"content": "yup something like that",
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},
{
"id": 1059421139455197300,
"author_id": 348696743388381200,
"author_name": "A Lonely Bean",
"timestamp": "01/02/2023 05:41:22",
"content": "$\\sum_{k=1}^n\\frac{k(k+1)}{2} = \\frac{1}{2}\\sum_{k=1}^nk^2 + \\frac{1}{2}\\sum_{k=0}^nk$",
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{
"id": 1059421148451979400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/02/2023 05:41:24",
"content": "**A Lonely Bean**",
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"author_name": "A Lonely Bean",
"timestamp": "01/02/2023 05:42:57",
"content": "Use the fact that $$\\sum_{k=1}^nk^2 = \\frac{n(n+1)(2n+1)}{6}$$ and $$\\sum_{k=0}^nk=\\frac{n(n+1)}{2}$$ (as you've already mentioned)",
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"timestamp": "01/02/2023 05:43:24",
"content": "**A Lonely Bean**",
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"timestamp": "01/02/2023 05:43:41",
"content": "looking at it this way i think i figured it out",
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"id": 1059422157836386300,
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"author_name": "Twin Turbo",
"timestamp": "01/02/2023 05:45:25",
"content": "1+2+3+...+n\n1+2+3+...+(n-1)+n\n(n-1)(n/2) + n\n(N^2 + n) /2",
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"author_name": "Twin Turbo",
"timestamp": "01/02/2023 05:45:56",
"content": "sorry im not that advanced yet, i dont know that symbol yet",
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"timestamp": "01/02/2023 05:46:59",
"content": "Okay maybe do it this way",
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"content": "Rearrange the sum like this",
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"content": "n + (n - 1) + (n - 2) + ... + 3 + 2 + 1 +\n (n - 1) + (n - 2) + ... + 3 + 2 + 1 +\n (n - 2) + ... + 3 + 2 + 1 +\n .\n .\n .\n ... + 3 + 2 + 1\n + 2 + 1\n + 1",
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"timestamp": "01/02/2023 05:48:27",
"content": "nvm this, i didnt realize it was the same as the first formula",
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"timestamp": "01/02/2023 05:48:53",
"content": "And look at the columns",
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"timestamp": "01/02/2023 05:49:43",
"content": "This is the same as n + 2(n - 1) + 3(n - 2) + ... + (n - 2) * 3 + (n-1) * 2 + n",
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"timestamp": "01/02/2023 05:50:42",
"content": "There's a formula for sum till nth term of an arithmetic progression with first term a and common difference d, you can use that here",
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"timestamp": "01/02/2023 05:51:19",
"content": "We're not looking for a sum of terms in arithmetic progression",
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"timestamp": "01/02/2023 05:51:26",
"content": "i understood this but got lost the next step",
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"timestamp": "01/02/2023 05:51:38",
"content": "isnt it sum of terms though",
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"timestamp": "01/02/2023 05:52:09",
"content": "He wants the sum I guess, as he said \"everything till 5th day\"",
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"timestamp": "01/02/2023 05:52:10",
"content": "Sum of terms that don't make a arithmetic progression",
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"author_name": "Twin Turbo",
"timestamp": "01/02/2023 05:52:10",
"content": "like if i wanted to get the sum of until 3rd day what would the formula be",
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"timestamp": "01/02/2023 05:52:37",
"content": "So it's sum of sums",
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"timestamp": "01/02/2023 05:53:09",
"content": "sums of the 1st term till nth term",
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"timestamp": "01/02/2023 05:53:12",
"content": "Oh yes it's not an arithmetic progression",
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"timestamp": "01/02/2023 05:53:47",
"content": "Collect n's here together",
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"timestamp": "01/02/2023 05:53:52",
"content": "Then collect (n - 1)'s",
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"timestamp": "01/02/2023 05:54:00",
"content": "Then (n - 2)'s",
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"timestamp": "01/02/2023 05:54:02",
"content": "And so on",
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"timestamp": "01/02/2023 05:54:19",
"content": "You'll get this",
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"author_name": "Twin Turbo",
"timestamp": "01/02/2023 05:55:42",
"content": "wouldnt it be just\n\nn+2(n-1)+3(n-2)+... until (n+constant) = 1",
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"timestamp": "01/02/2023 05:56:45",
"content": "You got the first part correct",
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"author_name": "A Lonely Bean",
"timestamp": "01/02/2023 05:56:59",
"content": "Look, how many 1's are there?",
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"author_name": "Twin Turbo",
"timestamp": "01/02/2023 05:57:18",
"content": "n amount of times",
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"timestamp": "01/02/2023 05:57:29",
"content": "i mean for each term theres 1",
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"timestamp": "01/02/2023 05:57:41",
"content": "Yes",
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"author_name": "A Lonely Bean",
"timestamp": "01/02/2023 05:57:45",
"content": "So there's n amount of 1's",
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"timestamp": "01/02/2023 05:58:03",
"content": "Meaning that the last column adds up to 1 * n",
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"author_name": "Twin Turbo",
"timestamp": "01/02/2023 05:58:19",
"content": "for 2 theres (n-1) amount of 2's",
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"timestamp": "01/02/2023 05:58:22",
"content": "Similarly, there are (n - 1) amount of 2's",
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"timestamp": "01/02/2023 05:58:24",
"content": "Right?",
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"author_name": "A Lonely Bean",
"timestamp": "01/02/2023 05:58:35",
"content": "So the prelast column adds up to 2(n - 1)",
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"timestamp": "01/02/2023 05:58:42",
"content": "And so on",
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"timestamp": "01/02/2023 05:59:08",
"content": "So you get this",
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"author_name": "Twin Turbo",
"timestamp": "01/02/2023 05:59:50",
"content": "so for 5th day\n\nn+2(n-1)+3(n-2)+4(n-3)+5(n-4)\n\n5+8+9+8+5",
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"timestamp": "01/02/2023 05:59:59",
"content": "35 correct",
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"id": 1059425882348994600,
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"author_name": "Twin Turbo",
"timestamp": "01/02/2023 06:00:13",
"content": "but the last term is just the same as the first term",
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"timestamp": "01/02/2023 06:00:26",
"content": "Yes",
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"author_name": "Twin Turbo",
"timestamp": "01/02/2023 06:00:34",
"content": "and same for second as to second to last",
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"timestamp": "01/02/2023 06:00:37",
"content": "2nd term is the same as (n - 1)th too",
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"author_name": "A Lonely Bean",
"timestamp": "01/02/2023 06:01:03",
"content": "That's the point, each term is mirrored if n is even",
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"timestamp": "01/02/2023 06:01:21",
"content": "If n is odd, then there's a term in the middle that isn't duplicated",
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"timestamp": "01/02/2023 06:01:27",
"content": "yes",
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"timestamp": "01/02/2023 06:01:44",
"content": "So let's first consider the case when n is even",
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"timestamp": "01/02/2023 06:01:55",
"content": "i just need to do half the terms and multiply by 2",
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"timestamp": "01/02/2023 06:02:25",
"content": "if n = 6\n\n2n+4(n-1)+6(n-2)",
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"timestamp": "01/02/2023 06:02:48",
"content": "or ( n+2(n-1)+3(n-2) ) * 2",
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"timestamp": "01/02/2023 06:04:04",
"content": "If n is even, then the sum is n + 2(n - 1) + ... + n/2 * (n/2 + 1) + (n/2 + 1)n/2 + ... + 2(n - 1) + n",
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"timestamp": "01/02/2023 06:04:34",
"content": "Same as 2(n + 2(n - 1) + ... + n/2 * (n/2 + 1)), yes",
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"timestamp": "01/02/2023 06:04:56",
"content": "Oh wait",
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"timestamp": "01/02/2023 06:05:29",
"content": "Hmm I got the middle terms wrong",
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"timestamp": "01/02/2023 06:06:34",
"content": "i kind of get the equations but dont understand how it can turn into a complete formula",
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"timestamp": "01/02/2023 06:07:25",
"content": "Yeah would be simpler if you already knew sigma notation",
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"timestamp": "01/02/2023 06:07:38",
"content": "Cause I don't know how to continue from here yet",
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"content": "im looking it up a bit to try to understand this",
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"timestamp": "01/02/2023 06:19:58",
"content": "thanks for your help, im gonna try to learn the new notations first",
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"timestamp": "01/02/2023 06:20:00",
"content": ".close",
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},
{
"id": 1059430865765146600,
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"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 06:20:01",
"content": "Channel closed",
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}
] |
help-9
|
a1427e22f7fe41ce814d26d7446ba864
|
200,476 |
[
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"timestamp": "10/27/2022 10:11:08",
"content": "Available help channel!",
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"timestamp": "10/27/2022 10:14:14",
"content": "Pinned a message.",
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"timestamp": "10/27/2022 10:28:10",
"content": "@Helpers",
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] |
help-9
|
03c5bfe3ad2642788457bd87dc130bac
|
200,477 |
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"author_name": "Dazzlefishe",
"timestamp": "01/02/2023 06:35:24",
"content": "there's the real numbers and the rationals",
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"timestamp": "01/02/2023 06:35:31",
"content": "but i am not sure what else",
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"author_name": "Zanarcane",
"timestamp": "01/02/2023 06:35:50",
"content": "algebraic number fields",
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"timestamp": "01/02/2023 06:35:57",
"content": "wdym",
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"author_name": "Zanarcane",
"timestamp": "01/02/2023 06:36:03",
"content": "look it up",
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"author_name": "Dazzlefishe",
"timestamp": "01/02/2023 06:36:11",
"content": "is it on wiki",
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"author_name": "Dazzlefishe",
"timestamp": "01/02/2023 06:36:31",
"content": "yeah found it",
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"author_name": "Dazzlefishe",
"timestamp": "01/02/2023 06:36:32",
"content": "thanks",
"attachments": [],
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"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "01/02/2023 06:36:52",
"content": "so theres infinite right?",
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"author_name": "Zanarcane",
"timestamp": "01/02/2023 06:37:34",
"content": "yea",
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"id": 1059435376114159600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/02/2023 06:37:57",
"content": "And a shitload of others",
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"author_id": 1016371469229498400,
"author_name": "Heisenbug",
"timestamp": "01/02/2023 06:38:11",
"content": "Check https://math.stackexchange.com/questions/445525/does-there-exist-a-field-which-has-infinitely-many-subfields",
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"author_name": "Denascite",
"timestamp": "01/02/2023 06:38:22",
"content": "Take any random element from C and adjoin it to Q and you probably get a new field",
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"author_name": "Dazzlefishe",
"timestamp": "01/02/2023 06:38:41",
"content": "by adjoin you mean ?",
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"author_name": "Dazzlefishe",
"timestamp": "01/02/2023 06:39:07",
"content": "i will right away",
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"author_name": "Zanarcane",
"timestamp": "01/02/2023 06:39:20",
"content": "I thought you looked up what an algebraic number field is",
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"author_name": "Denascite",
"timestamp": "01/02/2023 06:39:37",
"content": "\"add it to Q and then add whatever other elements you need so you get a field\"",
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"author_name": "Denascite",
"timestamp": "01/02/2023 06:40:03",
"content": "I.e. so you are closed under addition and multiplication and inverses",
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"author_name": "Dazzlefishe",
"timestamp": "01/02/2023 06:41:01",
"content": "okay",
"attachments": [],
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"id": 1059436242216964100,
"author_id": 299974051127099400,
"author_name": "Zanarcane",
"timestamp": "01/02/2023 06:41:23",
"content": "smallest field containing Q and those elements in C",
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"author_name": "Dazzlefishe",
"timestamp": "01/02/2023 06:41:59",
"content": "ill search it up more cause it seems complicated. The question i am trying to solve is show that if f is an endomorphism whose characteristic polynomial is irreducible over a sub field of C, then rank(fg-gf)!=1 for all g",
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"author_name": "Dazzlefishe",
"timestamp": "01/02/2023 06:47:00",
"content": "do you have a clue?",
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"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 07:02:00",
"content": "@Dazzlefishe Has your question been resolved?",
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"author_name": "Denascite",
"timestamp": "01/02/2023 07:13:31",
"content": "Irreducible over some subfield?",
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"id": 1059444421202018400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/02/2023 07:13:53",
"content": "So then you can just assume that subfield is Q?",
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"author_name": "Denascite",
"timestamp": "01/02/2023 07:14:09",
"content": "No clue whether that helps",
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"author_name": "Denascite",
"timestamp": "01/02/2023 07:14:31",
"content": "Endomorphism over what space?",
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"id": 1059444673988546700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/02/2023 07:14:53",
"content": "A space over that specific subfield?",
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"author_name": "Dazzlefishe",
"timestamp": "01/02/2023 07:15:56",
"content": "yes",
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"timestamp": "01/02/2023 07:16:09",
"content": "Q is the smallest subfield.",
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"timestamp": "01/02/2023 07:16:25",
"content": "yeah you can assume it is to get an idea but youll need to generalize for any subfield",
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"timestamp": "01/02/2023 07:17:01",
"content": "Channel closed",
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}
] |
help-9
|
6c82f990d5bb4104896eefc854e6f19d
|
200,478 |
[
{
"id": 1059445321899462700,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "01/02/2023 07:17:28",
"content": ".reopen",
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},
{
"id": 1059445328945877000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 07:17:29",
"content": "✅",
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},
{
"id": 1059445799072845800,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "01/02/2023 07:19:22",
"content": "Q(z) for a given z. Should be a familiar notation",
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"timestamp": "01/02/2023 07:19:40",
"content": "From the field of rational fractions (from polynomials)",
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"timestamp": "01/02/2023 07:24:39",
"content": "I might have that in my notebook. Can't quite look in there rn but in like 5 hours I might. You'll probably need to remind though (that's in case no one helped yet)",
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"timestamp": "01/02/2023 07:32:30",
"content": "@Dazzlefishe Has your question been resolved?",
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"content": "okay",
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"timestamp": "01/02/2023 07:36:35",
"content": ".close",
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},
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"content": "Channel closed",
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}
] |
help-9
|
1a8092d5a35741b8b03330d3dc08d3c9
|
200,479 |
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"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 08:01:08",
"content": "Available help channel!",
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},
{
"id": 1059458391707238400,
"author_id": 598244293571903600,
"author_name": "Meiro",
"timestamp": "01/02/2023 08:09:24",
"content": "Anyone have any idea how to know the angle PAM\nI have the solution but I didn’t get it \nIdk how they knew that x equal 7",
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"content": "Pinned a message.",
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"timestamp": "01/02/2023 08:09:40",
"content": "That’s the solution",
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"author_name": "Sunil Chhetri",
"timestamp": "01/02/2023 08:12:36",
"content": "have you ever heard of hypercomplex numbers, p-acidic numbers, and upper dimensional numbers who are used in representing 4d and up?",
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"timestamp": "01/02/2023 08:23:50",
"content": "@Helpers",
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"author_name": "Learath2",
"timestamp": "01/02/2023 08:30:46",
"content": "It's the law of sines",
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"timestamp": "01/02/2023 08:32:10",
"content": "I tried it didn’t really work",
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"author_name": "Learath2",
"timestamp": "01/02/2023 08:32:30",
"content": "Ok, their drawing already had the 7 on it. You have an x there",
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"timestamp": "01/02/2023 08:33:24",
"content": "This way u mean",
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"timestamp": "01/02/2023 08:34:18",
"content": "Ikr! perhaps the question contains incomplete information",
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"timestamp": "01/02/2023 08:34:22",
"content": "No that doesn't work they were doing law of sines in PAM on the second step",
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"timestamp": "01/02/2023 08:34:40",
"content": "Let me think about it for a sec. On phone walking somewhere",
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"timestamp": "01/02/2023 08:35:54",
"content": "Okey",
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"timestamp": "01/02/2023 08:36:53",
"content": "I thought i may do something else to know AP",
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"timestamp": "01/02/2023 08:41:45",
"content": "I think if you draw BM you get a right triangle BMC though I fail to see what to use that for",
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"timestamp": "01/02/2023 08:45:18",
"content": "But then i won’t have any angles",
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"timestamp": "01/02/2023 09:00:27",
"content": "@Meiro Has your question been resolved?",
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"timestamp": "01/02/2023 09:03:14",
"content": "Sorry, I don't really see it. I'm pretty rusty with geometry too",
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"timestamp": "01/02/2023 09:04:15",
"content": "It’s alright, thank you so much for trying I appreciate it",
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"timestamp": "01/02/2023 09:34:16",
"content": "@Meiro Has your question been resolved?",
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"author_name": "Rijinaru",
"timestamp": "01/02/2023 10:41:58",
"content": "This question is definitely incomplete :tinktonk:",
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},
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"id": 1059500746623692900,
"author_id": 598244293571903600,
"author_name": "Meiro",
"timestamp": "01/02/2023 10:57:42",
"content": "I guess so, i will ask my teacher about it tomorrow",
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},
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"id": 1059500768966750200,
"author_id": 598244293571903600,
"author_name": "Meiro",
"timestamp": "01/02/2023 10:57:47",
"content": ".close",
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},
{
"id": 1059500772880040100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 10:57:48",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
e9ba31c911ce4f4fa7363bba9e79e9ac
|
200,480 |
[
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"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 10:58:48",
"content": "Available help channel!",
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"reference": null
},
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"id": 1059503503569072100,
"author_id": 759660080278143000,
"author_name": "Styro",
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"content": "Pinned a message.",
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"id": 1059503613036208100,
"author_id": 759660080278143000,
"author_name": "Styro",
"timestamp": "01/02/2023 11:09:05",
"content": "i am stuck on these two questions",
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},
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"id": 1059506172127887500,
"author_id": 759660080278143000,
"author_name": "Styro",
"timestamp": "01/02/2023 11:19:16",
"content": "if you can help that would be thoughtful",
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},
{
"id": 1059506229568872400,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/02/2023 11:19:29",
"content": "first show that zero is not a solution for this equation",
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},
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"id": 1059506416261542000,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/02/2023 11:20:14",
"content": "then 3x^2 +3 = x^3",
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},
{
"id": 1059506479473885300,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/02/2023 11:20:29",
"content": "then divide both sides by x^2",
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},
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"id": 1059506745392775200,
"author_id": 759660080278143000,
"author_name": "Styro",
"timestamp": "01/02/2023 11:21:32",
"content": "is alright if I have more questions to ask",
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},
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"id": 1059506799071477800,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/02/2023 11:21:45",
"content": "in second question just put n=0",
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},
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"id": 1059506818063278100,
"author_id": 759660080278143000,
"author_name": "Styro",
"timestamp": "01/02/2023 11:21:50",
"content": "not to be rude",
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},
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"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/02/2023 11:21:50",
"content": "yeah",
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"id": 1059506865060454400,
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"author_name": "Styro",
"timestamp": "01/02/2023 11:22:01",
"content": "alright",
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"id": 1059507202500612100,
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"timestamp": "01/02/2023 11:23:21",
"content": "its fine actually",
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},
{
"id": 1059507318229844100,
"author_id": 759660080278143000,
"author_name": "Styro",
"timestamp": "01/02/2023 11:23:49",
"content": "I will try them then ask for help",
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},
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"id": 1059507337733353500,
"author_id": 759660080278143000,
"author_name": "Styro",
"timestamp": "01/02/2023 11:23:54",
"content": "is that fine with you",
"attachments": [],
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},
{
"id": 1059507364534964400,
"author_id": 759660080278143000,
"author_name": "Styro",
"timestamp": "01/02/2023 11:24:00",
"content": "or do you have to go",
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},
{
"id": 1059507405530075100,
"author_id": 759660080278143000,
"author_name": "Styro",
"timestamp": "01/02/2023 11:24:10",
"content": "its fine if you have to go",
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},
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"id": 1059507799765291000,
"author_id": 759660080278143000,
"author_name": "Styro",
"timestamp": "01/02/2023 11:25:44",
"content": "ok thanks for your help sir/madam",
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},
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"id": 1059507829444190200,
"author_id": 759660080278143000,
"author_name": "Styro",
"timestamp": "01/02/2023 11:25:51",
"content": ".close",
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},
{
"id": 1059507832183083100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 11:25:51",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
91dd1953738c4f03a5b216653884a382
|
200,481 |
[
{
"id": 1059508084290101200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 11:26:52",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1059508389249556500,
"author_id": 743164374432219100,
"author_name": "ei",
"timestamp": "01/02/2023 11:28:04",
"content": "why do some websites say simple interest is I=Prt and some say SI= PRT/100",
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},
{
"id": 1059508391040516100,
"author_id": 805217272087838700,
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"content": "Pinned a message.",
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"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "01/02/2023 11:28:34",
"content": "One is percentage other is decimal",
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},
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"id": 1059508614366236700,
"author_id": 743164374432219100,
"author_name": "ei",
"timestamp": "01/02/2023 11:28:58",
"content": "which one is better to use",
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"timestamp": "01/02/2023 11:29:06",
"content": "Neither",
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},
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"id": 1059508686076260400,
"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "01/02/2023 11:29:15",
"content": "Just use what you want",
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"id": 1059508717147652200,
"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "01/02/2023 11:29:22",
"content": "And convert between them",
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},
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"id": 1059508750119096400,
"author_id": 743164374432219100,
"author_name": "ei",
"timestamp": "01/02/2023 11:29:30",
"content": "okok",
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"id": 1059512526238384100,
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"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 11:44:31",
"content": "@ei Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 11:59:31",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
c9da36b451dc47df90fc1180d1e7dd02
|
200,482 |
[
{
"id": 1059527503561105400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 12:44:01",
"content": "Available help channel!",
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},
{
"id": 1059528491361632300,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "01/02/2023 12:47:57",
"content": "$\\lim_{n \\to \\infty}\\ln((1 + \\frac{1}{n})^n) = \\lim_{n \\to \\infty}n \\cdot \\ln(1 + \\frac{1}{n}) = \\lim_{n \\to \\infty}\\frac{\\ln(1 + \\frac{1}{n})}{\\frac{1}{n}} = \\lim_{n \\to \\infty}\\frac{\\ln(1 + \\frac{1}{n})}{\\ln(e^{\\frac{1}{n}})} = \\lim_{n \\to \\infty}\\log_{e^{\\frac{1}{n}}}(1 + \\frac{1}{n}) = \\log_1(1) = 1$ \\\\\\\\ $\\hspace{10cm} \\square$",
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"content": "Pinned a message.",
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"id": 1059528918069149800,
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"author_name": "Kepe",
"timestamp": "01/02/2023 12:49:39",
"content": "",
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"id": 1059528979029172200,
"author_id": 332561465405866000,
"author_name": "Kepe",
"timestamp": "01/02/2023 12:49:53",
"content": "Is this a valid proof?",
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},
{
"id": 1059530669165916200,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "01/02/2023 12:56:36",
"content": "To be honest, I’m not sure. Maybe? I haven’t seen this approach before",
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},
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"id": 1059530881301225500,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "01/02/2023 12:57:27",
"content": "1 is the right answer",
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},
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"id": 1059532755035242600,
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"timestamp": "01/02/2023 13:04:53",
"content": "@Kepe Has your question been resolved?",
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"id": 1059533562552008700,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/02/2023 13:08:06",
"content": "log base 1 isn't well defined",
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},
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"id": 1059533897207128000,
"author_id": 696748240758112300,
"author_name": "everg",
"timestamp": "01/02/2023 13:09:26",
"content": "you can do the last limit so easily because you have 0/0 form",
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"id": 1059533934981034100,
"author_id": 696748240758112300,
"author_name": "everg",
"timestamp": "01/02/2023 13:09:35",
"content": "can't",
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},
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"id": 1059536531993407500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 13:19:54",
"content": "Channel closed",
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}
] |
help-9
|
8f623e0f75b14aab830ec42afcc42a17
|
200,483 |
[
{
"id": 1059541827646136400,
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"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 13:40:57",
"content": "Available help channel!",
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},
{
"id": 1059542573527613600,
"author_id": 809803692503990300,
"author_name": "TopHatMan",
"timestamp": "01/02/2023 13:43:54",
"content": "how do I find AI and AIE i have no idea",
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"content": "Pinned a message.",
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{
"id": 1059542781061763200,
"author_id": 539805653267513340,
"author_name": "haygiya",
"timestamp": "01/02/2023 13:44:44",
"content": "AIE angle?",
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},
{
"id": 1059542805464232000,
"author_id": 809803692503990300,
"author_name": "TopHatMan",
"timestamp": "01/02/2023 13:44:50",
"content": "Yeah",
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},
{
"id": 1059543068983959600,
"author_id": 539805653267513340,
"author_name": "haygiya",
"timestamp": "01/02/2023 13:45:53",
"content": "you could find |AI| easily by putting them in the xyz coordinate plane but that takes long",
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},
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"id": 1059543077578096600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/02/2023 13:45:55",
"content": "You could create vectors for IE and IA",
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},
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"id": 1059543147346141300,
"author_id": 809803692503990300,
"author_name": "TopHatMan",
"timestamp": "01/02/2023 13:46:11",
"content": "what",
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"author_name": "TopHatMan",
"timestamp": "01/02/2023 13:46:15",
"content": "whats that",
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},
{
"id": 1059543233287426000,
"author_id": 539805653267513340,
"author_name": "haygiya",
"timestamp": "01/02/2023 13:46:32",
"content": "let A point be (0, 0, 0)",
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"id": 1059543287167471700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/02/2023 13:46:45",
"content": "Basically this",
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},
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"id": 1059543324702281900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/02/2023 13:46:53",
"content": "I'm assuming is what haygiya wants you to do",
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},
{
"id": 1059543363218587800,
"author_id": 809803692503990300,
"author_name": "TopHatMan",
"timestamp": "01/02/2023 13:47:03",
"content": "I dont know how to do that",
"attachments": [],
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},
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"id": 1059543482638815200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/02/2023 13:47:31",
"content": "You haven't learned vectors?",
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},
{
"id": 1059543493736931300,
"author_id": 539805653267513340,
"author_name": "haygiya",
"timestamp": "01/02/2023 13:47:34",
"content": "I will be (5, 21, 9) i think",
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"author_id": 809803692503990300,
"author_name": "TopHatMan",
"timestamp": "01/02/2023 13:47:50",
"content": "Nope",
"attachments": [],
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"author_name": "Umbraleviathan",
"timestamp": "01/02/2023 13:48:09",
"content": "hm idk how else youd get the angle then",
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"id": 1059545148100460700,
"author_id": 809803692503990300,
"author_name": "TopHatMan",
"timestamp": "01/02/2023 13:54:08",
"content": "wow do it for me",
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},
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"id": 1059546509965791200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/02/2023 13:59:33",
"content": "We don't do stuff for you. We help you. If you don't know vectors then idk man, kinda at a dead end",
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},
{
"id": 1059547157964783600,
"author_id": 539805653267513340,
"author_name": "haygiya",
"timestamp": "01/02/2023 14:02:07",
"content": "yeah",
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},
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"timestamp": "01/02/2023 14:09:08",
"content": "@TopHatMan Has your question been resolved?",
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"author_name": "TopHatMan",
"timestamp": "01/02/2023 14:15:36",
"content": "no",
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},
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"author_id": 809803692503990300,
"author_name": "TopHatMan",
"timestamp": "01/02/2023 14:15:48",
"content": "wait yes",
"attachments": [],
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},
{
"id": 1059558148974841900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 14:45:48",
"content": "@TopHatMan Has your question been resolved?",
"attachments": [],
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"id": 1059559901510254600,
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"timestamp": "01/02/2023 14:52:46",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
95463eae5dea45b1bfe38288181ce5e2
|
200,484 |
[
{
"id": 1059560154770714600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 14:53:46",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1059562052718432400,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:01:19",
"content": "",
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"timestamp": "01/02/2023 15:01:20",
"content": "Pinned a message.",
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{
"id": 1059562258725863600,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:02:08",
"content": "It said that the question would need excel, but I didn't really know how to get the answer to this",
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},
{
"id": 1059562335850729600,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:02:26",
"content": "I didn't really know how to use excel to get the answer to the question",
"attachments": [],
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},
{
"id": 1059562403676831700,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:02:42",
"content": "is there another way to get the answer?",
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},
{
"id": 1059563485966651400,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "01/02/2023 15:07:00",
"content": "Calculate a and b manually also works",
"attachments": [],
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},
{
"id": 1059563566312730800,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:07:19",
"content": "Could you do slope-intercept with this",
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},
{
"id": 1059563621346181200,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:07:33",
"content": "and graph it on graphing paper?",
"attachments": [],
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},
{
"id": 1059563711288844300,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "01/02/2023 15:07:54",
"content": "What?",
"attachments": [],
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},
{
"id": 1059563740992913400,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:08:01",
"content": "like for the table",
"attachments": [],
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},
{
"id": 1059563818436526200,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:08:20",
"content": "approximate the slope",
"attachments": [],
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},
{
"id": 1059564129754562600,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:09:34",
"content": "cause idk how to really use excel to calculate it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059564216446619800,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:09:54",
"content": "can someone tell me the exact commands to get correlation",
"attachments": [],
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},
{
"id": 1059564218015289300,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "01/02/2023 15:09:55",
"content": "Two of the answers have same y prediction",
"attachments": [],
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},
{
"id": 1059564248579199100,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "01/02/2023 15:10:02",
"content": "So wont work like that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059564264756613100,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:10:06",
"content": "ah",
"attachments": [],
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"reference": null
},
{
"id": 1059564294003494900,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:10:13",
"content": "Are you good with excel?",
"attachments": [],
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},
{
"id": 1059564358675480600,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "01/02/2023 15:10:28",
"content": "Have you tried googling (simple) linear regression Excel?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059564376849404000,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:10:33",
"content": "yea",
"attachments": [],
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"reference": null
},
{
"id": 1059564390711566300,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "01/02/2023 15:10:36",
"content": "I’m sure it tells you how to do it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059564402162016400,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:10:39",
"content": "Learned that from",
"attachments": [],
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},
{
"id": 1059564403281903700,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "01/02/2023 15:10:39",
"content": "So what is the problem",
"attachments": [],
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},
{
"id": 1059564527785607200,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:11:09",
"content": "I have to calculate the correlation coefficient and predict the salary after 10 years",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059564582055723000,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "01/02/2023 15:11:22",
"content": "It also gives you that",
"attachments": [],
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},
{
"id": 1059564646647992400,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "01/02/2023 15:11:37",
"content": "(Or just google correlation coefficient excel?)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059564665451057200,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:11:42",
"content": "ok",
"attachments": [],
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"reference": null
},
{
"id": 1059564825753169900,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:12:20",
"content": "so does it give you the salary after 10 years once you do the imputs or do you have to figure it out yourself",
"attachments": [],
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"reference": null
},
{
"id": 1059565053583577100,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "01/02/2023 15:13:14",
"content": "You get a formula",
"attachments": [],
"mentions": [],
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},
{
"id": 1059565198442234000,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "01/02/2023 15:13:49",
"content": "Plug in x=10?",
"attachments": [],
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},
{
"id": 1059565382718992500,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:14:33",
"content": "ok",
"attachments": [],
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"reference": null
},
{
"id": 1059565392693039100,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:14:35",
"content": "Ill try that",
"attachments": [],
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},
{
"id": 1059567644539355300,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:23:32",
"content": "Ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059567667717091300,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:23:37",
"content": "so for the regression",
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},
{
"id": 1059567682179043300,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:23:41",
"content": "I got 0.999",
"attachments": [],
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},
{
"id": 1059567726689013800,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:23:51",
"content": "approximate",
"attachments": [],
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},
{
"id": 1059568029895233500,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:25:04",
"content": "and for the salary",
"attachments": [],
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},
{
"id": 1059568194848817300,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:25:43",
"content": "I got 95.66 thousand",
"attachments": [],
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},
{
"id": 1059568283227009200,
"author_id": 939622787532881900,
"author_name": "Div",
"timestamp": "01/02/2023 15:26:04",
"content": "Is it correct or did I go wrong in excel or calculations",
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},
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"id": 1059572059157573800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 15:41:04",
"content": "@Div Has your question been resolved?",
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"id": 1059574475701637100,
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"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 15:50:40",
"content": "Channel closed",
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}
] |
help-9
|
cf94bf5252054eed81efe8e4d48e658b
|
200,485 |
[
{
"id": 1059574728370696300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 15:51:41",
"content": "Available help channel!",
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},
{
"id": 1059578205746503700,
"author_id": 705016288631849000,
"author_name": "Kingo",
"timestamp": "01/02/2023 16:05:30",
"content": "Given:\nA matrice in R sized 4*3",
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},
{
"id": 1059578209047433300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 16:05:31",
"content": "Pinned a message.",
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{
"id": 1059578310838980700,
"author_id": 705016288631849000,
"author_name": "Kingo",
"timestamp": "01/02/2023 16:05:55",
"content": "the solutions space of the homogenic system Ax=0 is:",
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},
{
"id": 1059578335954489300,
"author_id": 705016288631849000,
"author_name": "Kingo",
"timestamp": "01/02/2023 16:06:01",
"content": "",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059578335757336616/image.png",
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{
"id": 1059578349342707800,
"author_id": 705016288631849000,
"author_name": "Kingo",
"timestamp": "01/02/2023 16:06:04",
"content": "find Rank(A)",
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},
{
"id": 1059578942824128600,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "01/02/2023 16:08:25",
"content": "does the dimension of the span relate to the rank of A?",
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},
{
"id": 1059579173598920800,
"author_id": 705016288631849000,
"author_name": "Kingo",
"timestamp": "01/02/2023 16:09:21",
"content": "im sorry, im not sure",
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"id": 1059579221866975200,
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"author_name": "Kingo",
"timestamp": "01/02/2023 16:09:32",
"content": "i got answer but im not sure in it",
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},
{
"id": 1059582997617201300,
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"timestamp": "01/02/2023 16:24:32",
"content": "@Kingo Has your question been resolved?",
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"id": 1059590992136781800,
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"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 16:56:18",
"content": "@Kingo Has your question been resolved?",
"attachments": [],
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"id": 1059598543863697400,
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"timestamp": "01/02/2023 17:26:19",
"content": "Channel closed",
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}
] |
help-9
|
d5f6e4a1bce54141b4b2137761613f2b
|
200,486 |
[
{
"id": 1059598796318855300,
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"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 17:27:19",
"content": "Available help channel!",
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},
{
"id": 1059599279137771500,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:29:14",
"content": "is there enough information here to determine if its a square, rhombus, or rectangle?",
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{
"id": 1059599283378208800,
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"timestamp": "01/02/2023 17:29:15",
"content": "Pinned a message.",
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{
"id": 1059599342828257300,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:29:29",
"content": "or do both diagonals have to be present",
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},
{
"id": 1059599412428546000,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/02/2023 17:29:46",
"content": "It's not a rectangle",
"attachments": [],
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},
{
"id": 1059599424327794800,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:29:49",
"content": "im leaning towards rhombus, because the diagonal bisects both opposite angles",
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},
{
"id": 1059599462021996500,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/02/2023 17:29:58",
"content": "Because it needs 90 degree angles",
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},
{
"id": 1059599481584222300,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:30:02",
"content": "right",
"attachments": [],
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},
{
"id": 1059599495261847600,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:30:06",
"content": "nor is it a square",
"attachments": [],
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},
{
"id": 1059599511095353500,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:30:09",
"content": "for the same reason",
"attachments": [],
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},
{
"id": 1059599556729372800,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/02/2023 17:30:20",
"content": "Also needs the same side length",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059599572713885800,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:30:24",
"content": "yup",
"attachments": [],
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"reference": null
},
{
"id": 1059599577361162400,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/02/2023 17:30:25",
"content": "That's it",
"attachments": [],
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},
{
"id": 1059599605148418200,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:30:32",
"content": "its a rhombus?",
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},
{
"id": 1059599617127362700,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/02/2023 17:30:35",
"content": "Yep",
"attachments": [],
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},
{
"id": 1059599641819222000,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:30:41",
"content": "one of the options is none of them as well",
"attachments": [],
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},
{
"id": 1059599660110598300,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/02/2023 17:30:45",
"content": "XD",
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},
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"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:30:51",
"content": "how would i know if its none of em?",
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"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:31:00",
"content": "or",
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},
{
"id": 1059599735394152400,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:31:03",
"content": "not enough information",
"attachments": [],
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},
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"id": 1059599776120848400,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/02/2023 17:31:13",
"content": "Well for the rhombus",
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},
{
"id": 1059599806059794600,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/02/2023 17:31:20",
"content": "There has to be another diagonal",
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},
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"id": 1059599838024581100,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/02/2023 17:31:27",
"content": "That bisects the long diagonal",
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},
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"id": 1059599860095012900,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/02/2023 17:31:33",
"content": "But it has to be perpendicular",
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},
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"id": 1059599881280434200,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:31:38",
"content": "right",
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},
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"id": 1059599946149527700,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/02/2023 17:31:53",
"content": "We don't really know for sure if that's the case",
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},
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"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:31:54",
"content": "",
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"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:32:04",
"content": "these are my options",
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},
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"id": 1059600039770591200,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 17:32:15",
"content": "Wait",
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},
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"id": 1059600052764561500,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 17:32:18",
"content": "What",
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"id": 1059600122922680300,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/02/2023 17:32:35",
"content": "You have only 1 diagonal",
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},
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"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 17:32:39",
"content": "How is that a rhombus",
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},
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"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:32:48",
"content": "okay, i figured that wouldnt be enough information",
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},
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"id": 1059600178899865600,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 17:32:49",
"content": "Am I missing something",
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},
{
"id": 1059600185782698000,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:32:50",
"content": "just checking",
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},
{
"id": 1059600376925528000,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:33:36",
"content": "man how do i explain the “no there is not enough info”",
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},
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"id": 1059600383640612900,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:33:37",
"content": "😭",
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},
{
"id": 1059600397817356400,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:33:41",
"content": "teacher is trippin",
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},
{
"id": 1059600710804713500,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:34:55",
"content": "oh shit",
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},
{
"id": 1059600725807738900,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:34:59",
"content": "there are way more options",
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},
{
"id": 1059600745462255700,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:35:04",
"content": "im the one trippin",
"attachments": [],
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},
{
"id": 1059601302801371100,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:37:17",
"content": "wait",
"attachments": [],
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"reference": null
},
{
"id": 1059601324439769100,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:37:22",
"content": "all of the sides are congruent by ASA",
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},
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"id": 1059601725008384000,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:38:57",
"content": "christmas break makin me feel like a dumbass",
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},
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"id": 1059601741169033200,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:39:01",
"content": "thanks for the help guys",
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},
{
"id": 1059601796542239000,
"author_id": 759435398287458300,
"author_name": "Marvelkills",
"timestamp": "01/02/2023 17:39:14",
"content": ".close",
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},
{
"id": 1059601799440498800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 17:39:15",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
8c534ce64eeb485da1a50035b17bdd70
|
200,487 |
[
{
"id": 1035199311660732400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 10:32:28",
"content": "Available help channel!",
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},
{
"id": 1035199853715787900,
"author_id": 540451939599777800,
"author_name": "relixs",
"timestamp": "10/27/2022 10:34:38",
"content": "is it transitive?? if yes, how? why? ty",
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"content": "Pinned a message.",
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"id": 1035200744422387800,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "10/27/2022 10:38:10",
"content": "?",
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},
{
"id": 1035201092784504800,
"author_id": 928696164981829600,
"author_name": "urmc",
"timestamp": "10/27/2022 10:39:33",
"content": "i dont understand ur question",
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"id": 1035201308480766000,
"author_id": 540451939599777800,
"author_name": "relixs",
"timestamp": "10/27/2022 10:40:25",
"content": "its relation",
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},
{
"id": 1035201471911841800,
"author_id": 540451939599777800,
"author_name": "relixs",
"timestamp": "10/27/2022 10:41:04",
"content": "like symmetric, reflexive, transitive",
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},
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"id": 1035201657442672600,
"author_id": 540451939599777800,
"author_name": "relixs",
"timestamp": "10/27/2022 10:41:48",
"content": "if we have, aRb = {(a,b)}, is it transitive or no?",
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},
{
"id": 1035201781833142400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/27/2022 10:42:17",
"content": "what are a and b",
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},
{
"id": 1035201842356945000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/27/2022 10:42:32",
"content": "numbers? statements?",
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},
{
"id": 1035201961307406500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/27/2022 10:43:00",
"content": "do you mean the relation \"A=>B\", \"A implies B\" ?",
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},
{
"id": 1035201993737765000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "10/27/2022 10:43:08",
"content": "between statements A and B?",
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"id": 1035203119790960600,
"author_id": 540451939599777800,
"author_name": "relixs",
"timestamp": "10/27/2022 10:47:36",
"content": "xD",
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},
{
"id": 1035203144625434600,
"author_id": 540451939599777800,
"author_name": "relixs",
"timestamp": "10/27/2022 10:47:42",
"content": "sorry",
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},
{
"id": 1035203165676634100,
"author_id": 540451939599777800,
"author_name": "relixs",
"timestamp": "10/27/2022 10:47:47",
"content": "",
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"id": 1035203305581858800,
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"author_name": "relixs",
"timestamp": "10/27/2022 10:48:21",
"content": "so one of that 16 possible different R is",
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},
{
"id": 1035203340180660200,
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"timestamp": "10/27/2022 11:03:29",
"content": "@relixs Has your question been resolved?",
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"id": 1035208706368995500,
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"timestamp": "10/27/2022 11:09:48",
"content": ".closed",
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},
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"id": 1035208786555711600,
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"timestamp": "10/27/2022 11:10:07",
"content": ".close",
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},
{
"id": 1035208789491712100,
"author_id": 805217272087838700,
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"timestamp": "10/27/2022 11:10:08",
"content": "Channel closed",
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}
] |
help-9
|
99499687848843839e33ab01fea63d7e
|
200,488 |
[
{
"id": 1059602051786616800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 17:40:15",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1059604426693808100,
"author_id": 540300959302287360,
"author_name": "Abhi K.",
"timestamp": "01/02/2023 17:49:41",
"content": "How do I do this",
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"timestamp": "01/02/2023 17:49:42",
"content": "Pinned a message.",
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{
"id": 1059605542559035400,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "01/02/2023 17:54:07",
"content": "use f(x) = mx + b",
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},
{
"id": 1059605692757061600,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "01/02/2023 17:54:43",
"content": "basically you can make 3 inequalities with the info using this",
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{
"id": 1059605782506787000,
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"author_name": "Kihei",
"timestamp": "01/02/2023 17:55:05",
"content": "and then you'll find something about m",
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{
"id": 1059605787883872400,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 17:55:06",
"content": "Do you really need that",
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},
{
"id": 1059605827071254500,
"author_id": 605044221010772000,
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"timestamp": "01/02/2023 17:55:15",
"content": "Isn’t it better to logic",
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{
"id": 1059605829185188000,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "01/02/2023 17:55:16",
"content": "uh I couldn't think of a better way",
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{
"id": 1059605873216999600,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "01/02/2023 17:55:26",
"content": "I'm just proving m=0",
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"id": 1059605942947291100,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 17:55:43",
"content": "I think. A better way to do it is think of a line",
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"id": 1059605986349961200,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 17:55:53",
"content": "A line can only be increasing, decreasing, or neither",
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},
{
"id": 1059606077970333800,
"author_id": 540300959302287360,
"author_name": "Abhi K.",
"timestamp": "01/02/2023 17:56:15",
"content": "I’m really asking how I can solve this problem",
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},
{
"id": 1059606127672828000,
"author_id": 540300959302287360,
"author_name": "Abhi K.",
"timestamp": "01/02/2023 17:56:27",
"content": "So in case I encounter another problem like this I know the process",
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"id": 1059606149852307500,
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"author_name": "Kihei",
"timestamp": "01/02/2023 17:56:32",
"content": "ah",
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"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 17:56:37",
"content": "In this case it says that it is increasing or stating the same in the first statement f(2) <= f(3)",
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"id": 1059606235961380900,
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"timestamp": "01/02/2023 17:56:53",
"content": "so it has to be neither",
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"id": 1059606245335646200,
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"timestamp": "01/02/2023 17:56:55",
"content": "yeah logic works here then",
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"id": 1059606329288818700,
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"timestamp": "01/02/2023 17:57:15",
"content": "But in the next one it is decreasing or staying the same",
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"timestamp": "01/02/2023 17:57:23",
"content": "But it cannot be increasing or decreasing",
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"id": 1059606378341208200,
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"author_name": "Abhi K.",
"timestamp": "01/02/2023 17:57:27",
"content": "This answer is D",
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"id": 1059606400382279700,
"author_id": 605044221010772000,
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"timestamp": "01/02/2023 17:57:32",
"content": "So it must be staying the same",
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"timestamp": "01/02/2023 17:57:38",
"content": "You already know f(6) is 10",
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{
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"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 17:57:45",
"content": "So if it is the same for all values of x",
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"id": 1059606479969202200,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "01/02/2023 17:57:51",
"content": "what’s not logic about writing f(x) = mx + b and deducing some stuff about m and b :cutethink:",
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},
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"id": 1059606495668482200,
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"timestamp": "01/02/2023 17:57:55",
"content": "You know it is 10 for all values of x",
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},
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"id": 1059606548827091100,
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"timestamp": "01/02/2023 17:58:07",
"content": "More direct approach",
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"id": 1059606586290610300,
"author_id": 540300959302287360,
"author_name": "Abhi K.",
"timestamp": "01/02/2023 17:58:16",
"content": "Could someone illustrate this on a graph?",
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},
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"id": 1059606600215695500,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "01/02/2023 17:58:20",
"content": "I think my method was a bit too much work",
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},
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"id": 1059606735293259900,
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"author_name": "Kihei",
"timestamp": "01/02/2023 17:58:52",
"content": "",
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"author_name": "Kihei",
"timestamp": "01/02/2023 17:58:58",
"content": "it's simply a straight line",
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},
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"id": 1059606815266050000,
"author_id": 540300959302287360,
"author_name": "Abhi K.",
"timestamp": "01/02/2023 17:59:11",
"content": "Oh",
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},
{
"id": 1059606902591463600,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "01/02/2023 17:59:32",
"content": "it's saying f(2) is less than or equal to f(3) and f(4) is greater than equal to f(5), BUT it can't be both increasing **and** decreasing",
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},
{
"id": 1059606914318741600,
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"author_name": "Kihei",
"timestamp": "01/02/2023 17:59:34",
"content": "since it's a linear function",
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},
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"id": 1059606916789194900,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "01/02/2023 17:59:35",
"content": "so",
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},
{
"id": 1059606967091474400,
"author_id": 540300959302287360,
"author_name": "Abhi K.",
"timestamp": "01/02/2023 17:59:47",
"content": "Oh I see",
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},
{
"id": 1059606969167663200,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "01/02/2023 17:59:47",
"content": "since it's \"less than *or equal to*\", it's a straight line",
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{
"id": 1059607009315541000,
"author_id": 540300959302287360,
"author_name": "Abhi K.",
"timestamp": "01/02/2023 17:59:57",
"content": "They have the equal sign",
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},
{
"id": 1059607026394747000,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "01/02/2023 18:00:01",
"content": "yup",
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},
{
"id": 1059607114315735000,
"author_id": 540300959302287360,
"author_name": "Abhi K.",
"timestamp": "01/02/2023 18:00:22",
"content": "Ok thanks",
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},
{
"id": 1059607173203771500,
"author_id": 540300959302287360,
"author_name": "Abhi K.",
"timestamp": "01/02/2023 18:00:36",
"content": ".close",
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},
{
"id": 1059607176122998900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 18:00:37",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
88d049d880d0407aa32598f54dce0930
|
200,489 |
[
{
"id": 1059607427982557200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 18:01:37",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059607880778653800,
"author_id": 419871605708029950,
"author_name": "Kobalt12",
"timestamp": "01/02/2023 18:03:25",
"content": "i need help with how to proof that when x,y,z,t are all different from each other, then determinant is non-zero?",
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{
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"id": 1059607883093917800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 18:03:25",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1059607880778653800,
"channelId": 486844875632017400,
"guildId": null
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{
"id": 1059608276658041000,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "01/02/2023 18:04:59",
"content": "See Vandermonde determinant",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059608420476518500,
"author_id": 419871605708029950,
"author_name": "Kobalt12",
"timestamp": "01/02/2023 18:05:34",
"content": "nice, tysm",
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"id": 1059608594619842700,
"author_id": 419871605708029950,
"author_name": "Kobalt12",
"timestamp": "01/02/2023 18:06:15",
"content": "how can i free this channel?",
"attachments": [],
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},
{
"id": 1059608617738846200,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "01/02/2023 18:06:21",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1059608620947476500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 18:06:21",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
cb9ea667eabf4d059910b0f8f1c63475
|
200,490 |
[
{
"id": 1059608661997146200,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "01/02/2023 18:06:31",
"content": "You and helpful people can do it",
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},
{
"id": 1059608756708708400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "01/02/2023 18:06:54",
"content": "But don't expect them to",
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"reference": null
},
{
"id": 1059608777055277200,
"author_id": 419871605708029950,
"author_name": "Kobalt12",
"timestamp": "01/02/2023 18:06:59",
"content": ".close",
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},
{
"id": 1059608801554223200,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "01/02/2023 18:07:04",
"content": "I already did",
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},
{
"id": 1059608824476078200,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "01/02/2023 18:07:10",
"content": "Since I have the power to",
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},
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"id": 1059609053883535500,
"author_id": 419871605708029950,
"author_name": "Kobalt12",
"timestamp": "01/02/2023 18:08:05",
"content": "so why the channel is in occupied still?",
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},
{
"id": 1059609134078640300,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "01/02/2023 18:08:24",
"content": "It takes time to get cleared by the bot",
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"reference": null
},
{
"id": 1059609180400529400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "01/02/2023 18:08:35",
"content": "But it will after some time, don't worry",
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"reference": null
},
{
"id": 1059610406341058600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 18:13:27",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059618114217721900,
"author_id": 599008670927421400,
"author_name": "Shift",
"timestamp": "01/02/2023 18:44:05",
"content": "je",
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"reference": null
},
{
"id": 1059618116117725200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 18:44:05",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1059618114217721900,
"channelId": 486844875632017400,
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{
"id": 1059618838242676700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/02/2023 18:46:57",
"content": "Do you have a question",
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"id": 1059618895771746300,
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"author_name": "Gooaaa",
"timestamp": "01/02/2023 18:47:11",
"content": "je",
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},
{
"id": 1059618944568262700,
"author_id": 599008670927421400,
"author_name": "Shift",
"timestamp": "01/02/2023 18:47:23",
"content": "I realized Im just gonna watch a vid",
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},
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"id": 1059618966819049600,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "01/02/2023 18:47:28",
"content": "Nice",
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{
"id": 1059618987928985700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/02/2023 18:47:33",
"content": "K. .close if you're done",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 19:02:23",
"content": "@Shift Has your question been resolved?",
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"timestamp": "01/02/2023 19:02:57",
"content": "Channel closed",
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] |
help-9
|
bc760c032ede48d68e862418639409c3
|
200,491 |
[
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"timestamp": "01/02/2023 19:03:58",
"content": "Available help channel!",
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},
{
"id": 1059624834151223300,
"author_id": 588000990314233900,
"author_name": "Alef",
"timestamp": "01/02/2023 19:10:47",
"content": "The textbook says the correct answer is x=3, however I solved this using the quadratic equation and was left with two possible answers",
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"timestamp": "01/02/2023 19:10:47",
"content": "Pinned a message.",
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"id": 1059624938224496800,
"author_id": 588000990314233900,
"author_name": "Alef",
"timestamp": "01/02/2023 19:11:12",
"content": "did I do something wrong?",
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},
{
"id": 1059626019054686300,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 19:15:29",
"content": "What is the question",
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},
{
"id": 1059626156367814800,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "01/02/2023 19:16:02",
"content": "Single equation",
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},
{
"id": 1059626227599691900,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 19:16:19",
"content": "Not linear",
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},
{
"id": 1059626273229525000,
"author_id": 588000990314233900,
"author_name": "Alef",
"timestamp": "01/02/2023 19:16:30",
"content": "to figure out the value of x knowing that y is equal to 20cm and that the surface of the figure is 111cm^2",
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"id": 1059626329076670500,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 19:16:43",
"content": "Surface area?",
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{
"id": 1059626415059906700,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 19:17:04",
"content": "No",
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"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 19:17:08",
"content": "X=37 doesn’t work",
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"id": 1059626471636865200,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 19:17:17",
"content": "It literally doesn’t make sense in the context of the problem",
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"id": 1059626522945794200,
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"timestamp": "01/02/2023 19:17:29",
"content": "You’d have two intersecting sides",
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"id": 1059626547000127600,
"author_id": 605044221010772000,
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"timestamp": "01/02/2023 19:17:35",
"content": "Because 37>20",
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"id": 1059626565719294100,
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"author_name": "Alef",
"timestamp": "01/02/2023 19:17:40",
"content": "yeah",
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"id": 1059626585076023300,
"author_id": 588000990314233900,
"author_name": "Alef",
"timestamp": "01/02/2023 19:17:44",
"content": "I know the answer is not 37",
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"id": 1059626597088493600,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 19:17:47",
"content": "It doesn’t make sense so it’s not an answer",
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},
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"id": 1059626628575150100,
"author_id": 588000990314233900,
"author_name": "Alef",
"timestamp": "01/02/2023 19:17:55",
"content": "that's all the proof it takes?",
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},
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"id": 1059626631309840400,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 19:17:55",
"content": "3 is the only answer",
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"id": 1059626655372546000,
"author_id": 588000990314233900,
"author_name": "Alef",
"timestamp": "01/02/2023 19:18:01",
"content": "I mean, it makes sense",
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"id": 1059626657301942300,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 19:18:02",
"content": "Even tho the equation gives you two answers",
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"id": 1059626669612212400,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 19:18:04",
"content": "The for the equation",
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"id": 1059626680458678300,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 19:18:07",
"content": "Not the problem",
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"id": 1059626720417828900,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 19:18:17",
"content": "Do",
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},
{
"id": 1059626738864357500,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 19:18:21",
"content": "That’s it",
"attachments": [],
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},
{
"id": 1059626779867873300,
"author_id": 588000990314233900,
"author_name": "Alef",
"timestamp": "01/02/2023 19:18:31",
"content": "alright, I'll add the proof quickly and call it solved",
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},
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"id": 1059626786482303000,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 19:18:32",
"content": "Always make sure to check that ur answers make sense",
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"id": 1059626942774657000,
"author_id": 588000990314233900,
"author_name": "Alef",
"timestamp": "01/02/2023 19:19:10",
"content": "I knew that x1 was correct but I still had x2 and I just wanted to make sure I didn't do everything entirely wrong",
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},
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"id": 1059627628908261500,
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"author_name": "Alef",
"timestamp": "01/02/2023 19:21:53",
"content": "",
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"id": 1059627643546390700,
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"author_name": "Alef",
"timestamp": "01/02/2023 19:21:57",
"content": "there we go",
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},
{
"id": 1059627885805195400,
"author_id": 588000990314233900,
"author_name": "Alef",
"timestamp": "01/02/2023 19:22:54",
"content": "if X were larger than Y they would intersect, but they don't and thus X cannot be 37 and is only 3",
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},
{
"id": 1059627929375621200,
"author_id": 588000990314233900,
"author_name": "Alef",
"timestamp": "01/02/2023 19:23:05",
"content": "that should be it",
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},
{
"id": 1059627938821189600,
"author_id": 588000990314233900,
"author_name": "Alef",
"timestamp": "01/02/2023 19:23:07",
"content": "right?",
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},
{
"id": 1059628368422768600,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 19:24:49",
"content": "Right",
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},
{
"id": 1059628388698030200,
"author_id": 588000990314233900,
"author_name": "Alef",
"timestamp": "01/02/2023 19:24:54",
"content": "good, thanks",
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},
{
"id": 1059628394578448400,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 19:24:56",
"content": "I don’t think you need that",
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},
{
"id": 1059628422726418400,
"author_id": 588000990314233900,
"author_name": "Alef",
"timestamp": "01/02/2023 19:25:02",
"content": "need what?",
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},
{
"id": 1059628432515936400,
"author_id": 605044221010772000,
"author_name": "Trumpet Bot",
"timestamp": "01/02/2023 19:25:05",
"content": "You can just say 37 doesn’t work",
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},
{
"id": 1059628536069095600,
"author_id": 588000990314233900,
"author_name": "Alef",
"timestamp": "01/02/2023 19:25:29",
"content": "true",
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},
{
"id": 1059628567689973900,
"author_id": 588000990314233900,
"author_name": "Alef",
"timestamp": "01/02/2023 19:25:37",
"content": ".close",
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},
{
"id": 1059628570433032200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 19:25:38",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
d41660865a2447919a4d954de5b18888
|
200,492 |
[
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 19:26:38",
"content": "Available help channel!",
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},
{
"id": 1059643004127805400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 20:22:59",
"content": "Pinned a message.",
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"timestamp": "01/02/2023 20:23:10",
"content": "@Moderators",
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"reference": null
},
{
"id": 1059643126731518000,
"author_id": 105878844061286400,
"author_name": "Namington",
"timestamp": "01/02/2023 20:23:28",
"content": "ty",
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},
{
"id": 1059643128811888600,
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"timestamp": "01/02/2023 20:23:29",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
93146484bff24f8fb17940b3056ee446
|
200,493 |
[
{
"id": 1059643162630574100,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/02/2023 20:23:37",
"content": ":)",
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{
"id": 1059643332990611500,
"author_id": 1000057838007226500,
"author_name": "VulcanOne",
"timestamp": "01/02/2023 20:24:17",
"content": "For the uninitiated, the message that was deleted was spam from a new user",
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},
{
"id": 1059649521161883600,
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"content": "Available help channel!",
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"reference": null
},
{
"id": 1059681539295825900,
"author_id": 387680545410383900,
"author_name": "Minhas",
"timestamp": "01/02/2023 22:56:06",
"content": "What is the difference between PEMDAS and PEDMAS",
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},
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"id": 1059681541724328100,
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"timestamp": "01/02/2023 22:56:07",
"content": "Pinned a message.",
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"timestamp": "01/02/2023 22:56:26",
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},
{
"id": 1059681625971105800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/02/2023 22:56:27",
"content": ".close",
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},
{
"id": 1059681631075582000,
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"content": "Channel closed",
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}
] |
help-9
|
3bc81a4a9e9b45bb8204dd11c48e4ac0
|
200,494 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 23:06:09",
"content": "Available help channel!",
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"mentions": [],
"reference": null
},
{
"id": 1059685127388667900,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "01/02/2023 23:10:22",
"content": "hi!",
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},
{
"id": 1059685130215624800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/02/2023 23:10:23",
"content": "Pinned a message.",
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"id": 1059685605916807200,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "01/02/2023 23:12:16",
"content": "part (b) if able to help pls ping! ty!",
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},
{
"id": 1059686122424385700,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "01/02/2023 23:14:19",
"content": "maybe you can just plug it into both of the inequalities you get from part (a)",
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"timestamp": "01/02/2023 23:27:16",
"content": "@tea Has your question been resolved?",
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"id": 1059690411788075000,
"author_id": 1053456932083605500,
"author_name": "sunnnnnnn",
"timestamp": "01/02/2023 23:31:22",
"content": "where do you find those questions",
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"author_id": 251189299981058050,
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"timestamp": "01/02/2023 23:41:16",
"content": "hi!",
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"id": 1059692934544490500,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "01/02/2023 23:41:23",
"content": "oh it’s my sch paper",
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},
{
"id": 1059692956598161400,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "01/02/2023 23:41:28",
"content": "ty for the help snow!",
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"id": 1059692969877323800,
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"timestamp": "01/02/2023 23:41:32",
"content": ".snow",
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"id": 1059693013057687600,
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"timestamp": "01/02/2023 23:41:42",
"content": "oops",
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"id": 1059693019961499600,
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"timestamp": "01/02/2023 23:41:44",
"content": ".close",
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{
"id": 1059693023384064000,
"author_id": 805217272087838700,
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"timestamp": "01/02/2023 23:41:44",
"content": "Channel closed",
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}
] |
help-9
|
6dde1d5b29444a3397e0c40e846b4e53
|
200,495 |
[
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"timestamp": "01/02/2023 23:42:44",
"content": "Available help channel!",
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},
{
"id": 1059712009693839400,
"author_id": 613891196233842700,
"author_name": "xlz",
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"content": "Pinned a message.",
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"id": 1059712041436336100,
"author_id": 613891196233842700,
"author_name": "xlz",
"timestamp": "01/03/2023 00:57:19",
"content": "lim x->1 here does not exist right?",
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"id": 1059712204255002600,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "01/03/2023 00:57:57",
"content": "why wouldn't it exist",
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"id": 1059712429560434800,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "01/03/2023 00:58:51",
"content": "it's a piecewise function",
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"id": 1059712430684508200,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/03/2023 00:58:51",
"content": "Note that your limit towards a point does not need to equal the value of the function there",
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"id": 1059713075504218100,
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"author_name": "xlz",
"timestamp": "01/03/2023 01:01:25",
"content": "Using epsilon delta definition I thought that you could pick an epsilon smaller than the absolute difference between f(x) and what you would expect the limit to be",
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"id": 1059713104319086600,
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"timestamp": "01/03/2023 01:01:32",
"content": "because you can choose x = 1 which is 10",
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"author_name": "chartbit",
"timestamp": "01/03/2023 01:01:53",
"content": "Depends on your definition, but usually, you can't",
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"timestamp": "01/03/2023 01:03:06",
"content": "It's usually of the form that for any $\\varepsilon > 0$, you can choose a $\\delta>0$ such that whenever $0< |x - a | < \\delta$, you have $|f(x) - L| < \\varepsilon$ (for $\\lim_{x\\to a} f(x) = L$)",
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"id": 1059713616200335500,
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"timestamp": "01/03/2023 01:03:34",
"content": "oh i see so x cant be 1",
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"timestamp": "01/03/2023 01:03:41",
"content": "nvm then",
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"timestamp": "01/03/2023 01:03:43",
"content": "thank you",
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},
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"id": 1059713681149149200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/03/2023 01:03:50",
"content": "**chartbit**",
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"timestamp": "01/03/2023 01:04:08",
"content": "In general, you don't need it to be true for x=1",
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"timestamp": "01/03/2023 01:04:44",
"content": "In some cases it is (see continuous functions), but for general limits you don't require it",
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"timestamp": "01/03/2023 01:05:02",
"content": ".close",
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},
{
"id": 1059713988264480900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 01:05:03",
"content": "Channel closed",
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}
] |
help-9
|
e036621a7cc349079ae06b7f05d81997
|
200,496 |
[
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 01:07:14",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1059728293881987100,
"author_id": 630780096000819200,
"author_name": "purrp",
"timestamp": "01/03/2023 02:01:54",
"content": "Hi my channel closed so i will open a new one. Also idk how to apply power of a point to this problem can someone help?",
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"timestamp": "01/03/2023 02:01:54",
"content": "Pinned a message.",
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"id": 1059729901395120100,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "01/03/2023 02:08:17",
"content": "use\nalt seg theorem\nu can get similar triangles\nthen find x",
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},
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"id": 1059730019330564100,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "01/03/2023 02:08:45",
"content": ":thonk:",
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{
"id": 1059730051127582700,
"author_id": 118663865264242690,
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"timestamp": "01/03/2023 02:08:53",
"content": "power of a point",
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"id": 1059730156345888800,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "01/03/2023 02:09:18",
"content": "weird stuff",
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},
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"id": 1059730165221048300,
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"author_name": "Circle",
"timestamp": "01/03/2023 02:09:20",
"content": "nvr seen b4",
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},
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"id": 1059730256338112600,
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"author_name": "夢雪",
"timestamp": "01/03/2023 02:09:41",
"content": "",
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"timestamp": "01/03/2023 02:10:11",
"content": "no",
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},
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"id": 1059730418817044500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "01/03/2023 02:10:20",
"content": "the power of the point P with respect to the circle is given by PA\\*PB = PC\\*PD",
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},
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"id": 1059730568931188900,
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"content": "hm",
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},
{
"id": 1059730592255705100,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "01/03/2023 02:11:02",
"content": "just use similar tri bru",
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},
{
"id": 1059730626707722200,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/03/2023 02:11:10",
"content": "this is so much easier",
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},
{
"id": 1059730740763435000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "01/03/2023 02:11:37",
"content": "this is direct application of power of a point",
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},
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"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 02:16:54",
"content": "@purrp Has your question been resolved?",
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"timestamp": "01/03/2023 02:31:54",
"content": "Channel closed",
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}
] |
help-9
|
e6101a7fc0344c739ceabad5e9730fbb
|
200,497 |
[
{
"id": 1059747209278660600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 03:17:03",
"content": "Available help channel!",
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},
{
"id": 1059761550077997200,
"author_id": 400276685687226400,
"author_name": "BatEnjoyer",
"timestamp": "01/03/2023 04:14:02",
"content": "find X and Y intercepts",
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},
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"id": 1059761552464543700,
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"id": 1059761692847915100,
"author_id": 400276685687226400,
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"timestamp": "01/03/2023 04:14:36",
"content": "i want to know",
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},
{
"id": 1059761750930636800,
"author_id": 400276685687226400,
"author_name": "BatEnjoyer",
"timestamp": "01/03/2023 04:14:50",
"content": "if we solve for Y",
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},
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"id": 1059761762586599400,
"author_id": 400276685687226400,
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"timestamp": "01/03/2023 04:14:53",
"content": "x will be 0",
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},
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"id": 1059761823903129600,
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"timestamp": "01/03/2023 04:15:08",
"content": "There are no y intercepts",
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},
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"author_id": 400276685687226400,
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"timestamp": "01/03/2023 04:15:15",
"content": "so 0-Y(to the power of 2) = 1",
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},
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"timestamp": "01/03/2023 04:15:21",
"content": "isn't it 1",
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"content": "?",
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},
{
"id": 1059761937329705000,
"author_id": 400276685687226400,
"author_name": "BatEnjoyer",
"timestamp": "01/03/2023 04:15:35",
"content": "if we square negative Y it will become postive",
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},
{
"id": 1059762045391741000,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/03/2023 04:16:01",
"content": "why are u squaring negative y",
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},
{
"id": 1059762113830195200,
"author_id": 400276685687226400,
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"timestamp": "01/03/2023 04:16:17",
"content": "its squared",
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},
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"id": 1059762196927758500,
"author_id": 400276685687226400,
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"timestamp": "01/03/2023 04:16:37",
"content": "actually",
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},
{
"id": 1059762206226534500,
"author_id": 261933205387477000,
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"timestamp": "01/03/2023 04:16:39",
"content": "No",
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"id": 1059762214946488300,
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"timestamp": "01/03/2023 04:16:41",
"content": "you might be right",
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},
{
"id": 1059762226237542500,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/03/2023 04:16:44",
"content": "yeah but there is a minus sign",
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},
{
"id": 1059762270550380500,
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"timestamp": "01/03/2023 04:16:54",
"content": "sqrt negative = undefined",
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},
{
"id": 1059762362380468200,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/03/2023 04:17:16",
"content": "see if u rearrange",
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},
{
"id": 1059762412766625800,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/03/2023 04:17:28",
"content": "y^2= -1",
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"id": 1059762442210644000,
"author_id": 400276685687226400,
"author_name": "BatEnjoyer",
"timestamp": "01/03/2023 04:17:35",
"content": "true",
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{
"id": 1059762558891983000,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/03/2023 04:18:03",
"content": "is square of any number negative?",
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"id": 1059762592928780300,
"author_id": 400276685687226400,
"author_name": "BatEnjoyer",
"timestamp": "01/03/2023 04:18:11",
"content": "no",
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},
{
"id": 1059762629708611700,
"author_id": 400276685687226400,
"author_name": "BatEnjoyer",
"timestamp": "01/03/2023 04:18:20",
"content": "so yeah i get it",
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},
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"id": 1059762884797800400,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/03/2023 04:19:21",
"content": "👍",
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},
{
"id": 1059763152599916700,
"author_id": 400276685687226400,
"author_name": "BatEnjoyer",
"timestamp": "01/03/2023 04:20:25",
"content": "ty",
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},
{
"id": 1059763157968617500,
"author_id": 400276685687226400,
"author_name": "BatEnjoyer",
"timestamp": "01/03/2023 04:20:26",
"content": ".close",
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},
{
"id": 1059763161156296800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 04:20:27",
"content": "Channel closed",
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}
] |
help-9
|
a66348bdf83e439293091ae7e8392594
|
200,498 |
[
{
"id": 1035209044085968900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 11:11:09",
"content": "Available help channel!",
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},
{
"id": 1035210346480283600,
"author_id": 882968461209403500,
"author_name": "Nomel",
"timestamp": "10/27/2022 11:16:19",
"content": "infinitesimal . A=2 . How to solve this problem?",
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{
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"content": "Pinned a message.",
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{
"id": 1035210531822383200,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "10/27/2022 11:17:04",
"content": "what do you want to solve for?",
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},
{
"id": 1035210631533580300,
"author_id": 882968461209403500,
"author_name": "Nomel",
"timestamp": "10/27/2022 11:17:27",
"content": "infinitesimal",
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},
{
"id": 1035210681793916900,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "10/27/2022 11:17:39",
"content": "soooo",
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},
{
"id": 1035210699695194200,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "10/27/2022 11:17:44",
"content": "you want dy?",
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},
{
"id": 1035210708742307800,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "10/27/2022 11:17:46",
"content": "or what",
"attachments": [],
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"reference": null
},
{
"id": 1035210815990669300,
"author_id": 882968461209403500,
"author_name": "Nomel",
"timestamp": "10/27/2022 11:18:11",
"content": "I'm not very good at English",
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"mentions": [],
"reference": null
},
{
"id": 1035210893795012600,
"author_id": 882968461209403500,
"author_name": "Nomel",
"timestamp": "10/27/2022 11:18:30",
"content": "I want to find the result of this problem",
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},
{
"id": 1035211177090879600,
"author_id": 882968461209403500,
"author_name": "Nomel",
"timestamp": "10/27/2022 11:19:37",
"content": "My teacher said that a is the number 2, how will this problem be solved?",
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},
{
"id": 1035211396415242400,
"author_id": 882968461209403500,
"author_name": "Nomel",
"timestamp": "10/27/2022 11:20:30",
"content": "use infinitesimal",
"attachments": [],
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"reference": null
},
{
"id": 1035211945839689900,
"author_id": 882968461209403500,
"author_name": "Nomel",
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"id": 1035212856418906100,
"author_id": 882968461209403500,
"author_name": "Nomel",
"timestamp": "10/27/2022 11:26:18",
"content": "@Helpers",
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},
{
"id": 1035213215187075200,
"author_id": 882968461209403500,
"author_name": "Nomel",
"timestamp": "10/27/2022 11:27:43",
"content": "How to solve this problem? i'm having trouble with it",
"attachments": [],
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"reference": null
},
{
"id": 1035213975245303800,
"author_id": 882968461209403500,
"author_name": "Nomel",
"timestamp": "10/27/2022 11:30:45",
"content": ".close",
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},
{
"id": 1035213977929666800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 11:30:45",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
dfd21364774648b694481e4410d1c982
|
200,499 |
[
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"timestamp": "01/03/2023 04:24:05",
"content": "Available help channel!",
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},
{
"id": 1059765439330267300,
"author_id": 911475724161003500,
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"author_id": 911475724161003500,
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"timestamp": "01/03/2023 04:31:19",
"content": "How do I solve this thing",
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},
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"id": 1059767685199704000,
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"author_name": "playboy",
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"timestamp": "01/03/2023 04:42:57",
"content": "Lmao",
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},
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"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/03/2023 04:46:00",
"content": "use black magic... maybe it will help",
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"timestamp": "01/03/2023 04:46:38",
"content": "This is Olympiad question",
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},
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"id": 1059769809014886400,
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"timestamp": "01/03/2023 04:46:52",
"content": "Oh wait i forgot to tell I'm from India",
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},
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"id": 1059769834042306700,
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"author_name": "Sherlock",
"timestamp": "01/03/2023 04:46:58",
"content": ":opencry:",
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"author_name": "fantastic mr. fox",
"timestamp": "01/03/2023 04:50:58",
"content": "so?",
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},
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"id": 1059771807126798300,
"author_id": 1019598615548792800,
"author_name": "playboy",
"timestamp": "01/03/2023 04:54:48",
"content": "just a mess",
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"timestamp": "01/03/2023 04:58:16",
"content": "i dont think anyone would put these kind of questions in olympiad",
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"timestamp": "01/03/2023 05:03:16",
"content": "@Sherlock Has your question been resolved?",
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"author_id": 911475724161003500,
"author_name": "Sherlock",
"timestamp": "01/03/2023 05:04:25",
"content": "no but it'll do",
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"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 05:04:27",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
54e547ede0454369b8515df1dcb1784b
|
200,500 |
[
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"id": 1059774294810439800,
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"author_name": "Sherlock",
"timestamp": "01/03/2023 05:04:41",
"content": "but they did",
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"timestamp": "01/03/2023 05:04:52",
"content": "its fine tho",
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},
{
"id": 1059792016650805400,
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"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 06:15:06",
"content": "Available help channel!",
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},
{
"id": 1059799602989113300,
"author_id": 879318275652202600,
"author_name": "wynters",
"timestamp": "01/03/2023 06:45:15",
"content": "(Topic: logic) Please feel free to correct me TvT i am confused on what p and q is, especially on #20",
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"timestamp": "01/03/2023 06:45:16",
"content": "Pinned a message.",
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"timestamp": "01/03/2023 06:46:18",
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"timestamp": "01/03/2023 07:01:18",
"content": "@wynters Has your question been resolved?",
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"timestamp": "01/03/2023 07:18:21",
"content": ".solved",
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},
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"id": 1059807990619832400,
"author_id": 879318275652202600,
"author_name": "wynters",
"timestamp": "01/03/2023 07:18:35",
"content": ".close",
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},
{
"id": 1059807993430024200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 07:18:35",
"content": "Channel closed",
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}
] |
help-9
|
398b55c05db9406abd53b2d7dced80d1
|
200,501 |
[
{
"id": 1059811658089902100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 07:33:09",
"content": "Available help channel!",
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},
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"id": 1059814677359640600,
"author_id": 399954060528189440,
"author_name": "v i s m o r f UwU",
"timestamp": "01/03/2023 07:45:09",
"content": "sqrt of x is |x| so sqrt of 4 is +- 2, correct?",
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"timestamp": "01/03/2023 07:45:10",
"content": "Pinned a message.",
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"id": 1059814845886775300,
"author_id": 411882877933060100,
"author_name": "Ｈｅｒｅｌｓ",
"timestamp": "01/03/2023 07:45:49",
"content": "sqrt of x is not |x|",
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"id": 1059814947460231200,
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"author_name": "v i s m o r f UwU",
"timestamp": "01/03/2023 07:46:13",
"content": "h",
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"id": 1059814953462280200,
"author_id": 399954060528189440,
"author_name": "v i s m o r f UwU",
"timestamp": "01/03/2023 07:46:15",
"content": "oh",
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"author_name": "v i s m o r f UwU",
"timestamp": "01/03/2023 07:46:20",
"content": "yes",
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"author_name": "v i s m o r f UwU",
"timestamp": "01/03/2023 07:47:00",
"content": "oh never mind",
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"author_id": 399954060528189440,
"author_name": "v i s m o r f UwU",
"timestamp": "01/03/2023 07:47:09",
"content": ".close",
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},
{
"id": 1059815184518103000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 07:47:10",
"content": "Channel closed",
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}
] |
help-9
|
588c94c083cc4ff4949a67d7a5a2ed7c
|
200,502 |
[
{
"id": 1059817206722068500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 07:55:12",
"content": "Available help channel!",
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},
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"id": 1059822118440796300,
"author_id": 162890440276836350,
"author_name": "Beepze",
"timestamp": "01/03/2023 08:14:43",
"content": "i dont get this question at all",
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"timestamp": "01/03/2023 08:14:44",
"content": "Pinned a message.",
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"id": 1059823481698664400,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/03/2023 08:20:08",
"content": "just put f(x) and f(c(",
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"id": 1059824244336382100,
"author_id": 162890440276836350,
"author_name": "Beepze",
"timestamp": "01/03/2023 08:23:10",
"content": "where is f(c)",
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"id": 1059824509865181200,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "01/03/2023 08:24:13",
"content": "the same expression as f(x) but with x replaced with c",
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"id": 1059824968826896400,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 08:26:03",
"content": "f(c) means you replace all of the variables x in the function with c",
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"id": 1059825065472053200,
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"timestamp": "01/03/2023 08:26:26",
"content": "for example f(x)=2x+1, then f(c)=2c+1",
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"author_name": "Beepze",
"timestamp": "01/03/2023 08:26:46",
"content": "why did they put \"then,\" and put an entirely different equation",
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"author_name": "Beepze",
"timestamp": "01/03/2023 08:27:02",
"content": "anyways thanks i can solve it now but i have another problem",
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"timestamp": "01/03/2023 08:27:18",
"content": "I cant seem to work this out (even function)",
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"author_name": "Beepze",
"timestamp": "01/03/2023 08:27:23",
"content": "My values all end up odd",
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"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 08:27:36",
"content": "you know what odd and even fucntions are right?",
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"author_name": "Beepze",
"timestamp": "01/03/2023 08:27:44",
"content": "yeah i think",
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"author_name": "Beepze",
"timestamp": "01/03/2023 08:27:52",
"content": "odd functions f(-x) = -f(x)",
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"timestamp": "01/03/2023 08:27:59",
"content": "even functions f(x) = f(-x)",
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"author_name": "Zabbx",
"timestamp": "01/03/2023 08:28:12",
"content": "did you maybe forget the square at the numeral?",
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"content": "if you square smth it always becomes positive",
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"content": "and denominator is always positive since g(-x)=x",
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"timestamp": "01/03/2023 08:29:11",
"content": "and g(x) is an even function",
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"author_name": "Beepze",
"timestamp": "01/03/2023 08:29:25",
"content": "yeah i figured that out",
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"author_name": "Beepze",
"timestamp": "01/03/2023 08:29:31",
"content": "but i sitll got the wrong answer",
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"author_name": "Beepze",
"timestamp": "01/03/2023 08:29:41",
"content": "The top part is odd and bottom is even",
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"author_name": "Beepze",
"timestamp": "01/03/2023 08:29:45",
"content": "odd/even is still odd",
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"id": 1059825931453202400,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 08:29:52",
"content": "how is it odd?",
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"id": 1059825979838705700,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 08:30:04",
"content": "squaring something always becomes positive?",
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"id": 1059826104812191700,
"author_id": 162890440276836350,
"author_name": "Beepze",
"timestamp": "01/03/2023 08:30:34",
"content": "something odd has to be negative?",
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"id": 1059826143282352300,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 08:30:43",
"content": "so if you have a negative number squared you should end up wuth a posivitve number",
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"author_name": "the guy who asked",
"timestamp": "01/03/2023 08:30:56",
"content": "yeah because f(-x)=-f(x)",
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"author_name": "the guy who asked",
"timestamp": "01/03/2023 08:31:32",
"content": "that's the definition of an odd function",
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"author_name": "Beepze",
"timestamp": "01/03/2023 08:31:52",
"content": "wait so the square of f(-x) becomes f(x)?",
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"id": 1059826456903024800,
"author_id": 852521097332916200,
"author_name": "Zabbx",
"timestamp": "01/03/2023 08:31:57",
"content": "this basically means that you can put a mirror at the y-axis, aka left and right of the y-axis are symmetrical\nyou know that at the end, whatever is happening the the numeral, you square it\ntherefore you know that both left and right must be equal for x and -x",
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"id": 1059826542752043000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/03/2023 08:32:18",
"content": "**tushar**",
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"timestamp": "01/03/2023 08:32:53",
"content": "no no if imagine this f(-x)=-f(x)",
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"timestamp": "01/03/2023 08:33:21",
"content": "exactly",
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"timestamp": "01/03/2023 08:33:38",
"content": "**tushar**",
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"timestamp": "01/03/2023 08:34:48",
"content": "i still dont get it 😭",
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"author_name": "Beepze",
"timestamp": "01/03/2023 08:36:23",
"content": "nvm i just got it",
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"author_name": "Beepze",
"timestamp": "01/03/2023 08:36:26",
"content": "but in my own way",
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"timestamp": "01/03/2023 08:36:29",
"content": "odd + odd = even",
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"id": 1059827607874576400,
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"timestamp": "01/03/2023 08:36:32",
"content": "so even/even = even",
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"id": 1059827614086332500,
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"author_name": "Beepze",
"timestamp": "01/03/2023 08:36:33",
"content": "done",
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"author_name": "Beepze",
"timestamp": "01/03/2023 08:36:36",
"content": ".close",
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},
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"id": 1059827627596189700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 08:36:37",
"content": "Channel closed",
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}
] |
help-9
|
794da8ef869b45c8aa5959033ef5374f
|
200,503 |
[
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"content": "Available help channel!",
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},
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"id": 1059827892491665400,
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"content": "this is not true",
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"timestamp": "01/03/2023 08:37:40",
"content": "Pinned a message.",
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"timestamp": "01/03/2023 08:38:28",
"content": "??",
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"author_id": 1029194649128161300,
"author_name": ".doc",
"timestamp": "01/03/2023 08:38:37",
"content": "?",
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"id": 1059828216308695000,
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"timestamp": "01/03/2023 08:38:57",
"content": "?",
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"timestamp": "01/03/2023 08:39:12",
"content": "the sum of two odd functions is odd",
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"author_name": "Deol",
"timestamp": "01/03/2023 08:39:13",
"content": "???",
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"timestamp": "01/03/2023 08:40:07",
"content": "ah ok should have read context",
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"id": 1059828521406570500,
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"timestamp": "01/03/2023 08:40:10",
"content": "ah you mean that",
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"content": "😦",
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"author_name": "tushar",
"timestamp": "01/03/2023 08:40:23",
"content": "didnt mean to open up a channel",
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"id": 1059828646455550000,
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"timestamp": "01/03/2023 08:40:39",
"content": "hopefully they see this",
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},
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"id": 1059828668576321500,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "01/03/2023 08:40:45",
"content": ".close",
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"content": "Channel closed",
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}
] |
help-9
|
84b3ecc192a14050a2404411b783f7e9
|
200,504 |
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"id": 1059828832913330200,
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"author_name": "Beepze",
"timestamp": "01/03/2023 08:41:24",
"content": "are u srs bro",
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"content": "im never gonna understand this topic like this",
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"content": "give it some time",
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"content": "@tushar where do i learn more about this even and odd functions",
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"content": "khan academy is good",
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"content": "okay thanks",
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"content": "Pinned a message.",
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"content": "cant tell what ive done wrong here",
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"content": "you took y as m\nand then dy/dx as m\nhows that possible",
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"content": "wdym dy/dx as m",
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"content": "the first line",
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"content": "i was just doing the auxilary equation",
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"content": "thats normally in terms of m",
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"content": "oh",
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"content": "oh\nive not come across this far in de\nive just done the basics",
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"content": "still, it should read m^2 - 2m + 5 = 0",
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"content": "ye",
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"content": "it does",
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"content": "i did that",
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"content": ":thonk:",
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"content": "LMAO",
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"timestamp": "01/03/2023 08:59:43",
"content": "i was doing this at 2am last night",
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"timestamp": "01/03/2023 08:59:45",
"content": "plz excuse me",
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"content": "yeah that was what i was implying..",
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"timestamp": "01/03/2023 09:01:11",
"content": "you got the right complementary solution anyway tho :hmmCat:",
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"timestamp": "01/03/2023 09:01:18",
"content": "lol",
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"timestamp": "01/03/2023 09:01:24",
"content": "cant find what else is wrong",
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"timestamp": "01/03/2023 09:01:33",
"content": "wolfram gave different answer to mine",
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"timestamp": "01/03/2023 09:05:55",
"content": "y(0) = 2 not 1",
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"timestamp": "01/03/2023 09:06:20",
"content": "i guess here you switched it too?",
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"timestamp": "01/03/2023 09:06:23",
"content": "y'(0) = 1",
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"timestamp": "01/03/2023 09:07:05",
"content": "lemme redo",
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"timestamp": "01/03/2023 09:07:24",
"content": "so A is = 0?",
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"content": ":shrug:",
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"timestamp": "01/03/2023 09:10:06",
"content": "still my answer doesnt match will wolfram",
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"timestamp": "01/03/2023 09:10:10",
"content": "what is going on",
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"timestamp": "01/03/2023 09:10:18",
"content": "whats your answer",
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"timestamp": "01/03/2023 09:11:17",
"content": "yeah thats right",
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"timestamp": "01/03/2023 09:11:35",
"content": "is this the same thing?",
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"timestamp": "01/03/2023 09:11:38",
"content": "as what i have",
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"content": "?",
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"timestamp": "01/03/2023 09:11:49",
"content": "you should be able to show it",
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"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "01/03/2023 09:12:25",
"content": "ohh wolfram changed sin2x into 2 sinxcosx",
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"timestamp": "01/03/2023 09:12:28",
"content": "if you want to check with wolfram you need to be able to show equivalent forms",
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"id": 1059836740191404200,
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"timestamp": "01/03/2023 09:12:49",
"content": "ight kl",
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"id": 1059836746600296600,
"author_id": 849961886874730500,
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"timestamp": "01/03/2023 09:12:51",
"content": "thanks snow",
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{
"id": 1059836783703117800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "01/03/2023 09:13:00",
"content": "anyway",
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},
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"id": 1059836795203891300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "01/03/2023 09:13:02",
"content": "if you want to check",
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},
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"id": 1059836849339772900,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "01/03/2023 09:13:15",
"content": ",w 2(e^x sin(x) + 1) cos(x) - sin(x) = e^x sin(2x) + 2cos(x) - sin(x)",
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"content": "Results provided by WolframAlpha",
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"id": 1059836888543928400,
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"timestamp": "01/03/2023 09:13:25",
"content": "lesgoooooooooooooo",
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},
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"id": 1059836899449122800,
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"timestamp": "01/03/2023 09:13:27",
"content": "thx",
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"timestamp": "01/03/2023 09:21:04",
"content": ".close",
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"timestamp": "01/03/2023 09:21:04",
"content": "Channel closed",
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}
] |
help-9
|
e485cbf7281b4129bac6dade60a95745
|
200,505 |
[
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"content": "Available help channel!",
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},
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"id": 1059839594591420400,
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"id": 1059839825248800800,
"author_id": 220517274845577200,
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"timestamp": "01/03/2023 09:25:05",
"content": "ugh",
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"id": 1059839878923305100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/03/2023 09:25:18",
"content": "use the summation for the first x integers",
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"author_id": 1000385978491486300,
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"timestamp": "01/03/2023 09:25:46",
"content": "apply sum of natural numbers at the denominator",
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"timestamp": "01/03/2023 09:26:31",
"content": "what does thaymean",
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"content": "ohhhh",
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"timestamp": "01/03/2023 09:27:05",
"content": "thanks",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 09:42:05",
"content": "@lilbiggy Has your question been resolved?",
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}
] |
help-9
|
3efd54de12ee48759d137374049f9ad6
|
200,506 |
[
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"content": "Available help channel!",
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"content": "Pinned a message.",
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"timestamp": "01/03/2023 09:53:59",
"content": "where r u stuck at",
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"id": 1059847213758550000,
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"author_name": "A Lonely Bean",
"timestamp": "01/03/2023 09:54:26",
"content": "Express everything as a power of 5",
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"author_name": "Hermes",
"timestamp": "01/03/2023 09:55:10",
"content": "I'm finding it hard to split the 25 and 125.",
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"timestamp": "01/03/2023 09:55:26",
"content": "**Mehdi\\_Moulati**",
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"timestamp": "01/03/2023 09:55:43",
"content": "5^2=25 and then apply power law",
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"timestamp": "01/03/2023 09:59:50",
"content": "I'm currently at (5^(3x-2))/(5^(3x+3))",
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"timestamp": "01/03/2023 10:00:09",
"content": "yes\nnow apply quotitent law",
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"timestamp": "01/03/2023 10:00:27",
"content": "subtract 3x+3 from 3x-2",
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"id": 1059848734890008600,
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"timestamp": "01/03/2023 10:00:29",
"content": "oh thanks i got it",
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"timestamp": "01/03/2023 10:00:46",
"content": "I was missing the rules of indices",
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"timestamp": "01/03/2023 10:01:25",
"content": "5^-5 is the answer",
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"id": 1059848992541904900,
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"timestamp": "01/03/2023 10:01:30",
"content": "yea",
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"id": 1059849018001330300,
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"timestamp": "01/03/2023 10:01:36",
"content": "👍🏼",
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},
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"id": 1059849093771448400,
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"author_name": "Hermes",
"timestamp": "01/03/2023 10:01:54",
"content": ".close",
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"content": "Channel closed",
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}
] |
help-9
|
ea39a97ab8d7470bae3cce455558b81c
|
200,507 |
[
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"id": 1059849128756117500,
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"timestamp": "01/03/2023 10:02:03",
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"timestamp": "01/03/2023 10:06:19",
"content": "Circumference is directly proportional to the radius of the disc, so, in this case, the radius got reduced by 2/5",
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"timestamp": "01/03/2023 10:06:46",
"content": "And surface area is directly proportional to the square of that radius, meaning it got reduces by the square of the given ratio",
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"content": "damn that makes sense, thanks @A Lonely Bean",
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] |
help-9
|
7e1d80e666ce45a9baed61242fc1be12
|
200,508 |
[
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"content": "Available help channel!",
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"id": 1059864413177397400,
"author_id": 715205145981354100,
"author_name": "hoggersfc",
"timestamp": "01/03/2023 11:02:47",
"content": "Hey guys is this correct",
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"timestamp": "01/03/2023 11:03:45",
"content": "Is that a test?",
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"author_id": 715205145981354100,
"author_name": "hoggersfc",
"timestamp": "01/03/2023 11:03:49",
"content": "No",
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"id": 1059864706698977400,
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"timestamp": "01/03/2023 11:03:57",
"content": "Exam papers",
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"timestamp": "01/03/2023 11:04:22",
"content": "no",
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"timestamp": "01/03/2023 11:04:31",
"content": "what u got was sum not the terms",
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"id": 1059864945178718200,
"author_id": 1003857269802401900,
"author_name": "starlight",
"timestamp": "01/03/2023 11:04:54",
"content": "a_n= n(3n-4) is not an arithmetic sequence no?",
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"id": 1059865003177541800,
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"author_name": "dldh06",
"timestamp": "01/03/2023 11:05:08",
"content": "Test and exam are basically the same term. Basically, are you currently taking an exam?",
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"timestamp": "01/03/2023 11:05:17",
"content": "No",
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"id": 1059865055312740400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/03/2023 11:05:20",
"content": "Because that's very exam like",
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"id": 1059865088745554000,
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"timestamp": "01/03/2023 11:05:28",
"content": "It’s old papers",
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"timestamp": "01/03/2023 11:05:34",
"content": "term 1=1\n2nd term=S2-S1",
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"timestamp": "01/03/2023 11:06:07",
"content": "So what would t1 = to",
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"content": "-1",
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"timestamp": "01/03/2023 11:06:37",
"content": "T2?",
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"timestamp": "01/03/2023 11:06:47",
"content": "Is it -1",
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"timestamp": "01/03/2023 11:09:29",
"content": "ye -1 is t1\nt2 = 4+1=5\nt3=15-4",
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"author_name": "hoggersfc",
"timestamp": "01/03/2023 11:10:00",
"content": "Can you explain please",
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"timestamp": "01/03/2023 11:10:30",
"content": "the function given in the qn will give u sum of terms",
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"timestamp": "01/03/2023 11:10:41",
"content": "so s3 is sum of first three terms",
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"timestamp": "01/03/2023 11:11:30",
"content": "which is 15\nand u can get the term from sum by = S(n)-S(n-1)",
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"timestamp": "01/03/2023 11:11:57",
"content": "Tn=Sn-S(n-1)",
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"author_name": "hoggersfc",
"timestamp": "01/03/2023 11:13:12",
"content": "So this is not a arithmetic sequence?",
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"id": 1059867053504352400,
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"timestamp": "01/03/2023 11:13:16",
"content": "it is",
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"timestamp": "01/03/2023 11:13:36",
"content": "common difference between the terms must be same",
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"timestamp": "01/03/2023 11:13:55",
"content": "then its an ap",
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"author_name": "hoggersfc",
"timestamp": "01/03/2023 11:14:23",
"content": "So wait t1= -1 t2=5 T3=9 ?",
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"id": 1059867364805591200,
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"timestamp": "01/03/2023 11:14:31",
"content": "t3 is 11",
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"timestamp": "01/03/2023 11:14:44",
"content": "d=t2-t1",
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"author_name": "hoggersfc",
"timestamp": "01/03/2023 11:14:59",
"content": "Thank you very much",
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"id": 1059867509228044400,
"author_id": 1000385978491486300,
"author_name": "Bored",
"timestamp": "01/03/2023 11:15:05",
"content": "👍🏼",
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},
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"id": 1059867562114043900,
"author_id": 715205145981354100,
"author_name": "hoggersfc",
"timestamp": "01/03/2023 11:15:18",
"content": "Wait",
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"id": 1059867613410377900,
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"author_name": "Bored",
"timestamp": "01/03/2023 11:15:30",
"content": "hope u understood",
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"author_id": 715205145981354100,
"author_name": "hoggersfc",
"timestamp": "01/03/2023 11:15:36",
"content": "How is T2 5",
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"timestamp": "01/03/2023 11:16:22",
"content": "s2=4\ns1=-1 sp t2=s2-(-1)=s2+1 =>4+1=5",
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"timestamp": "01/03/2023 11:16:38",
"content": "Oh",
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"id": 1059867910262243300,
"author_id": 715205145981354100,
"author_name": "hoggersfc",
"timestamp": "01/03/2023 11:16:41",
"content": "👍",
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},
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"id": 1059867971473907700,
"author_id": 1000385978491486300,
"author_name": "Bored",
"timestamp": "01/03/2023 11:16:55",
"content": "clear?",
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"id": 1059867997247918100,
"author_id": 715205145981354100,
"author_name": "hoggersfc",
"timestamp": "01/03/2023 11:17:01",
"content": "Yep",
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"id": 1059868061823402100,
"author_id": 1000385978491486300,
"author_name": "Bored",
"timestamp": "01/03/2023 11:17:17",
"content": "aight good",
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"id": 1059868175354835100,
"author_id": 1000385978491486300,
"author_name": "Bored",
"timestamp": "01/03/2023 11:17:44",
"content": "is this 8th grade?",
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},
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"id": 1059868449276436600,
"author_id": 715205145981354100,
"author_name": "hoggersfc",
"timestamp": "01/03/2023 11:18:49",
"content": "Not from America",
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"id": 1059869577766522900,
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"author_name": "Bored",
"timestamp": "01/03/2023 11:23:18",
"content": "oh",
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"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 11:33:49",
"content": "@hoggersfc Has your question been resolved?",
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"timestamp": "01/03/2023 11:34:03",
"content": "Channel closed",
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}
] |
help-9
|
38f6cbf7b7454633a383ffddf3ee5620
|
200,509 |
[
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"timestamp": "10/21/2022 15:03:04",
"content": "Available help channel!",
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},
{
"id": 1033093347637723300,
"author_id": 713800694930604000,
"author_name": "shazam",
"timestamp": "10/21/2022 15:04:08",
"content": "Hi, for 12 x cannot equal 0 but the same goes for question 13 where u cannot equal 0. In this case why do we use piecewise notation for 12 but not 13? Thanks",
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"content": "Pinned a message.",
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"id": 1033096309340655700,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "10/21/2022 15:15:54",
"content": "i dont think the piecewise notation is needed in 13 🤔",
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"timestamp": "10/21/2022 15:20:54",
"content": "@shazam Has your question been resolved?",
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"author_name": "Diesel",
"timestamp": "10/21/2022 15:21:35",
"content": "but why in 12?",
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"timestamp": "10/21/2022 15:28:27",
"content": "why is it not needed in 13?",
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"author_name": "Navix",
"timestamp": "10/21/2022 15:29:21",
"content": "neither in 12 nor in 13",
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] |
help-9
|
25c397f8e9b745e8b5a1d6d16e67a215
|
200,510 |
[
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"timestamp": "10/27/2022 11:31:45",
"content": "Available help channel!",
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},
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"id": 1035215173969006700,
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"timestamp": "10/27/2022 11:35:35",
"content": "part e",
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"id": 1035215638983094400,
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"author_name": "Pure",
"timestamp": "10/27/2022 11:37:21",
"content": "Can you show your table for y",
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"timestamp": "10/27/2022 11:37:43",
"content": "i didnt make a table for y",
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"content": "also not sure what you mean by that",
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"timestamp": "10/27/2022 11:38:25",
"content": "Table for prob dist of y",
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"timestamp": "10/27/2022 11:38:51",
"content": "hmm how would i go about making that",
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"author_name": "goodguyneo",
"timestamp": "10/27/2022 11:39:07",
"content": "im like really new to random discrete variables dont really get it",
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"id": 1035216351314333800,
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"timestamp": "10/27/2022 11:40:11",
"content": "Like the table for x up there",
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"id": 1035216396541505700,
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"timestamp": "10/27/2022 11:40:22",
"content": "But with Y=6-2X",
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"timestamp": "10/27/2022 11:40:30",
"content": "So if x=1 y is 4",
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"timestamp": "10/27/2022 11:40:45",
"content": "oh right wait let me set that up",
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"timestamp": "10/27/2022 11:44:50",
"content": "Okay so the bottom row is Y yea?",
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"content": "Yes",
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"timestamp": "10/27/2022 11:45:17",
"content": "Now I would just do this case by case",
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"id": 1035217716832911400,
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"timestamp": "10/27/2022 11:45:37",
"content": "If X=-1 then X can’t be >= Y",
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"timestamp": "10/27/2022 11:46:00",
"content": "If X = 0 then X>=Y => Y=0",
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"timestamp": "10/27/2022 11:46:24",
"content": "The probability of that happening is a times 1/5 for examples",
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"timestamp": "10/27/2022 11:46:32",
"content": "Continue for all value of X",
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"timestamp": "10/27/2022 11:46:41",
"content": "Then add them up",
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"timestamp": "10/27/2022 11:59:57",
"content": "@goodguyneo Has your question been resolved?",
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] |
help-9
|
7ed373b925fe420589a22b29b5b486d5
|
200,511 |
[
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"id": 1059876250698666000,
"author_id": 779223160725176300,
"author_name": "Schrödinger",
"timestamp": "01/03/2023 11:49:49",
"content": "why do we have 4s before 3d",
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"content": "calculation",
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"timestamp": "01/03/2023 11:50:02",
"content": "part i am not getting",
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"timestamp": "01/03/2023 11:50:09",
"content": "like the formula and stuff",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059876505196445800,
"author_id": 779223160725176300,
"author_name": "Schrödinger",
"timestamp": "01/03/2023 11:50:50",
"content": "orbitals",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059876630803267700,
"author_id": 779223160725176300,
"author_name": "Schrödinger",
"timestamp": "01/03/2023 11:51:20",
"content": "like i know that 4s is on a lower energy level than 3d",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059876652076781700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/03/2023 11:51:25",
"content": "Ask in the chem server",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059876680237318300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/03/2023 11:51:32",
"content": "Check #network",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059876768921690100,
"author_id": 779223160725176300,
"author_name": "Schrödinger",
"timestamp": "01/03/2023 11:51:53",
"content": "oh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059876772625260700,
"author_id": 779223160725176300,
"author_name": "Schrödinger",
"timestamp": "01/03/2023 11:51:54",
"content": "ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059876793319948400,
"author_id": 779223160725176300,
"author_name": "Schrödinger",
"timestamp": "01/03/2023 11:51:59",
"content": "!close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059876821719593000,
"author_id": 779223160725176300,
"author_name": "Schrödinger",
"timestamp": "01/03/2023 11:52:05",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059876824563331100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 11:52:06",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
4b5a29e05add497f9da0dd25f9634f2c
|
200,512 |
[
{
"id": 1059882009729716400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 12:12:42",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059883428952146000,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:18:21",
"content": "alright i'm asking here because my english is bad at math and i don't seem to find this on youtube or google\nhow do you know the angle is at what (part of the circle?) like 11pii/8",
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},
{
"id": 1059883431263223900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 12:18:21",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1059883428952146000,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1059884211525402800,
"author_id": 781974664603631600,
"author_name": "mino65",
"timestamp": "01/03/2023 12:21:27",
"content": "like having a coordinates x and y and finding thier angle ?",
"attachments": [],
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},
{
"id": 1059884755522441200,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:23:37",
"content": "like \n sin+ | sin+\n cos- | cos+\n------------------------------\n sin- | sin-\n cos- | cos+",
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"reference": null
},
{
"id": 1059884870253424800,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:24:04",
"content": "i really need to know what this is called",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059884975127810000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "01/03/2023 12:24:29",
"content": "unit circle?",
"attachments": [],
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},
{
"id": 1059885038788944000,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:24:44",
"content": "oh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059885175015739500,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:25:17",
"content": "and what about knowing what angle is at what part of this circle",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059885200181559400,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:25:23",
"content": "what is it called?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059885256783712300,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "01/03/2023 12:25:36",
"content": "quadrant",
"attachments": [],
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},
{
"id": 1059885492528750700,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:26:33",
"content": "how do i know 11pii/8 is at what part",
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},
{
"id": 1059885570333093900,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:26:51",
"content": "or 23pii/12",
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},
{
"id": 1059885823467724800,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:27:52",
"content": "the first quadrant is between 0 and +pi/2",
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},
{
"id": 1059885902480023700,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:28:10",
"content": "the second quadreant is between pi/2 and pi",
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},
{
"id": 1059885948931932300,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:28:21",
"content": "the third between pi and 3/2pi",
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},
{
"id": 1059886012236574800,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:28:37",
"content": "the fourth between 3/2pi and 2pi",
"attachments": [],
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},
{
"id": 1059886070138945700,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:28:50",
"content": "i don't really know where's 23pii/12 or 11pi/8 lol",
"attachments": [],
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"reference": null
},
{
"id": 1059886124681662500,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "01/03/2023 12:29:03",
"content": "compare the coefficients to the known values above",
"attachments": [],
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},
{
"id": 1059886176082874400,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:29:16",
"content": "i really need a simplified way",
"attachments": [],
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},
{
"id": 1059886190834221000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "01/03/2023 12:29:19",
"content": "is 11pi/8 bigger or smaller than pi?",
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},
{
"id": 1059886301911982100,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:29:46",
"content": "bigger",
"attachments": [],
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"reference": null
},
{
"id": 1059886323974017000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "01/03/2023 12:29:51",
"content": "so where can it lie?",
"attachments": [],
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},
{
"id": 1059886326343794700,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:29:51",
"content": "i guess",
"attachments": [],
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},
{
"id": 1059886366512644100,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:30:01",
"content": "is 11/8pi smaller or bigger than 3/2pi?",
"attachments": [],
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"reference": null
},
{
"id": 1059886412171853800,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:30:12",
"content": "3rd or 4th part?",
"attachments": [],
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},
{
"id": 1059886447936684200,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "01/03/2023 12:30:20",
"content": "yes",
"attachments": [],
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"reference": null
},
{
"id": 1059886489296715800,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:30:30",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059886571681235000,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:30:50",
"content": "smaller?",
"attachments": [],
"mentions": [
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},
{
"id": 1059886585530830800,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:30:53",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059886728921485400,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:31:27",
"content": "so where does it belogn",
"attachments": [],
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"id": 1059886823838597200,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "01/03/2023 12:31:50",
"content": "u cant really simplify 11/8pi into known general radians, u can approx where it lies between two known general radians",
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},
{
"id": 1059886971952058500,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:32:25",
"content": "oh",
"attachments": [],
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},
{
"id": 1059887038834413600,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:32:41",
"content": "the third part?",
"attachments": [],
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{
"id": 1059887065086570500,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:32:48",
"content": "yes",
"attachments": [],
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},
{
"id": 1059887234330931200,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:33:28",
"content": "let me try on 3pi/8 because last time i tried it was wrong",
"attachments": [],
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},
{
"id": 1059887339616338000,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:33:53",
"content": "it's smaller than pi and smaller than pi/2 right?",
"attachments": [],
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},
{
"id": 1059887420134400100,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:34:12",
"content": "yes",
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},
{
"id": 1059887447892312200,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:34:19",
"content": "no need to assume",
"attachments": [],
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},
{
"id": 1059887499926843500,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:34:31",
"content": "if it's smaller than pi/2 it's smaller than pi/2",
"attachments": [],
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"reference": null
},
{
"id": 1059887629912526800,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:35:02",
"content": "11pi/12 is at the first part?",
"attachments": [],
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},
{
"id": 1059887634232655900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "01/03/2023 12:35:03",
"content": "3/2Pi is greater than",
"attachments": [],
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},
{
"id": 1059887754273640600,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:35:32",
"content": "no",
"attachments": [],
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{
"id": 1059887818048024600,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:35:47",
"content": "what is the half of 12?",
"attachments": [],
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},
{
"id": 1059887930652500100,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:36:14",
"content": "6",
"attachments": [],
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},
{
"id": 1059887972431970300,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:36:24",
"content": "do you mean 3pi/2?",
"attachments": [],
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},
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"id": 1059888000240189600,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:36:31",
"content": "is 6 bigger than 11?",
"attachments": [],
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},
{
"id": 1059888043571544000,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:36:41",
"content": "nope",
"attachments": [],
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},
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"id": 1059888057282736300,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:36:44",
"content": "so",
"attachments": [],
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},
{
"id": 1059888151562297500,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:37:07",
"content": "11/12pi isn't in the first quadrant",
"attachments": [],
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},
{
"id": 1059888161964183700,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:37:09",
"content": "no idea, lol",
"attachments": [],
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"reference": null
},
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"id": 1059888538503622700,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:38:39",
"content": "",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1059888538390372352/Arc5.png",
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"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:38:51",
"content": "that is a really bad image",
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},
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"id": 1059888596666024100,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "01/03/2023 12:38:53",
"content": "11/12pi is very close to pi which is in 2nd quadrant",
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},
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"id": 1059888763188297700,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:39:32",
"content": "so if the half of denominator is smaller than the numeratoe it's bigger than pi/2?",
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"id": 1059888822986473500,
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"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:39:47",
"content": "yes",
"attachments": [],
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},
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"id": 1059888921401626800,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:40:10",
"content": "oh that's true",
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"id": 1059889178285965300,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:41:11",
"content": "Amer this might seem like really hard, but if you keep practicing with rad angles then it will be instant",
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"id": 1059889374583599200,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:41:58",
"content": "degrees are easier",
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{
"id": 1059889421022941200,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:42:09",
"content": "but i don't know how to convert lol",
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},
{
"id": 1059889565357318300,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:42:44",
"content": "there's a specific formula for that",
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},
{
"id": 1059889848833552400,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:43:51",
"content": "a° * pi/180°= a rad",
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},
{
"id": 1059890159811842200,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:45:05",
"content": "a° being the angle in degrees",
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},
{
"id": 1059890188169527300,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:45:12",
"content": "a rad being the angle in rad",
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},
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"id": 1059890501953798300,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:46:27",
"content": "🐒",
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},
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"id": 1059890538746220500,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:46:36",
"content": "i'll stick with the first method",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059890568282505300,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:46:43",
"content": "haha",
"attachments": [],
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"reference": null
},
{
"id": 1059890568416743600,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:46:43",
"content": "this takes longer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059890647965892600,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/03/2023 12:47:02",
"content": "well choose what works best for you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059890838018203800,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:47:47",
"content": "appreciate your help guys",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059890892846153700,
"author_id": 725732660416348300,
"author_name": "Amer",
"timestamp": "01/03/2023 12:48:00",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1059890895622774900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 12:48:01",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
4725efb430bc4502a9915d3b741545f2
|
200,513 |
[
{
"id": 1059894844501274600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 13:03:42",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059899097378726000,
"author_id": 548979491561537600,
"author_name": "jandro",
"timestamp": "01/03/2023 13:20:36",
"content": "",
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"id": 1059899102109892700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 13:20:37",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
"messageId": 1059899097378726000,
"channelId": 486844875632017400,
"guildId": null
}
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{
"id": 1059899107642179600,
"author_id": 548979491561537600,
"author_name": "jandro",
"timestamp": "01/03/2023 13:20:39",
"content": "Need help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059899132107563000,
"author_id": 548979491561537600,
"author_name": "jandro",
"timestamp": "01/03/2023 13:20:45",
"content": "With this question",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059899261719949400,
"author_id": 548979491561537600,
"author_name": "jandro",
"timestamp": "01/03/2023 13:21:15",
"content": "I can’t understand it properly",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059899362207084700,
"author_id": 548979491561537600,
"author_name": "jandro",
"timestamp": "01/03/2023 13:21:39",
"content": "Post in help 16,18 or 19",
"attachments": [],
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"reference": null
},
{
"id": 1059899394352238600,
"author_id": 548979491561537600,
"author_name": "jandro",
"timestamp": "01/03/2023 13:21:47",
"content": "They are vacant",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059899427017470000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "01/03/2023 13:21:55",
"content": "#❓how-to-get-help",
"attachments": [],
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{
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"discriminator": "6907",
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}
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},
{
"id": 1059899565702123500,
"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "01/03/2023 13:22:28",
"content": "Tn is basically sn - s(n-1)",
"attachments": [],
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{
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"id": 1059899710053298300,
"author_id": 548979491561537600,
"author_name": "jandro",
"timestamp": "01/03/2023 13:23:02",
"content": "But what does function of n mean",
"attachments": [],
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},
{
"id": 1059899740898209900,
"author_id": 548979491561537600,
"author_name": "jandro",
"timestamp": "01/03/2023 13:23:10",
"content": "I am confused with that part",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059899764285644900,
"author_id": 548979491561537600,
"author_name": "jandro",
"timestamp": "01/03/2023 13:23:15",
"content": "Thanks for that tho",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059899952052052100,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "01/03/2023 13:24:00",
"content": "formula which depends on n",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059899967898124400,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "01/03/2023 13:24:04",
"content": "as variable",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059900050500751400,
"author_id": 264901235834880000,
"author_name": "Modus",
"timestamp": "01/03/2023 13:24:24",
"content": "like y = 2x + 3 is f(x) (y is function of x)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059903540270735500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 13:38:16",
"content": "@jandro Has your question been resolved?",
"attachments": [],
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"id": 1059907318151659500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 13:53:16",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
5fc9e6e232fb4f069ecc71a4f4cdcd20
|
200,514 |
[
{
"id": 1059910357122031700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 14:05:21",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059912965610016800,
"author_id": 774656450861203500,
"author_name": "cheesewizard",
"timestamp": "01/03/2023 14:15:43",
"content": "\"if n is an odd integer, then show that n^2 - 1 is divisible by 8\" \n\nHow exactly do I go about on solving this problem? There is additional information given for the problem that is \"We know that any odd positive integer is of the form 4q+1 or 4q+3\" however I don't understand this statement very well :(\n\nI know that Euclid's division lemma needs to be used here, but i don't know what exactly to do and how to use it in this problem. \n\n\nthank you :)",
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},
{
"id": 1059912968147570800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 14:15:43",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1059913095939625100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/03/2023 14:16:14",
"content": "can you factor n^2-1",
"attachments": [],
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},
{
"id": 1059913227661742100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/03/2023 14:16:45",
"content": "can you show that one of the factors is divisible by 4 and the other is divisible by 2?",
"attachments": [],
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},
{
"id": 1059913534038888600,
"author_id": 738255162736378000,
"author_name": "wideputin",
"timestamp": "01/03/2023 14:17:58",
"content": "Form cases for both forms of an odd no. substitute and factor",
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"id": 1059913558793654400,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "01/03/2023 14:18:04",
"content": "or simply substitute n = 4q+1 and n = 4q+3 and show that you can factor out an 8 in either case",
"attachments": [],
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},
{
"id": 1059915997303275600,
"author_id": 774656450861203500,
"author_name": "cheesewizard",
"timestamp": "01/03/2023 14:27:46",
"content": "wait so would this work-\n\nn^2 -1, when n = 4q+1\n\n\nn^2-1 = (4q +1)^2 -1 \n\n\ntherefore n^2-1 = 16q^2 + 8q-1+1 \n\n=16q^2 + 8q\n\nand then i just factor that?",
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},
{
"id": 1059917471290773600,
"author_id": 715875286041886800,
"author_name": "Akise",
"timestamp": "01/03/2023 14:33:37",
"content": "yes",
"attachments": [],
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"reference": null
},
{
"id": 1059917541335633900,
"author_id": 715875286041886800,
"author_name": "Akise",
"timestamp": "01/03/2023 14:33:54",
"content": "and do the same with n=4q+3",
"attachments": [],
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"reference": null
},
{
"id": 1059918046933811300,
"author_id": 774656450861203500,
"author_name": "cheesewizard",
"timestamp": "01/03/2023 14:35:54",
"content": "thanks a lot everyone",
"attachments": [],
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"reference": null
},
{
"id": 1059918058136813700,
"author_id": 774656450861203500,
"author_name": "cheesewizard",
"timestamp": "01/03/2023 14:35:57",
"content": ".close",
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},
{
"id": 1059918061114773600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 14:35:58",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
820d3db09eb54ac4a4ddf6e5352f4c19
|
200,515 |
[
{
"id": 1059920899056353300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 14:47:14",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059924749205131400,
"author_id": 1020689932634832900,
"author_name": "lilisworld",
"timestamp": "01/03/2023 15:02:32",
"content": "Hello, $f: [a, b] \\mapsto [a, b]$; $|f(x) - f(y)| < |x - y|$ and $x \\neq y$, prove that f has an unique fixed point",
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},
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"id": 1059924751860117500,
"author_id": 805217272087838700,
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"timestamp": "01/03/2023 15:02:33",
"content": "Pinned a message.",
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{
"id": 1059924858726785200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/03/2023 15:02:58",
"content": "**lilisworld**",
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"id": 1059924891660460200,
"author_id": 1020689932634832900,
"author_name": "lilisworld",
"timestamp": "01/03/2023 15:03:06",
"content": "f continuous obviously",
"attachments": [],
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},
{
"id": 1059924994420908200,
"author_id": 1020689932634832900,
"author_name": "lilisworld",
"timestamp": "01/03/2023 15:03:31",
"content": "i know it's the classic banach theorem but i want to know how to prove it",
"attachments": [],
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"reference": null
},
{
"id": 1059925439956656100,
"author_id": 1020689932634832900,
"author_name": "lilisworld",
"timestamp": "01/03/2023 15:05:17",
"content": "so fixed point means a point that verifies f(x) = x",
"attachments": [],
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},
{
"id": 1059927032047345700,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/03/2023 15:11:36",
"content": "<https://en.wikipedia.org/wiki/Banach_fixed-point_theorem#Proof>",
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},
{
"id": 1059927063127150700,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/03/2023 15:11:44",
"content": "its also in chapter 9 of rudin (9.23)",
"attachments": [],
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},
{
"id": 1059927436428582900,
"author_id": 1020689932634832900,
"author_name": "lilisworld",
"timestamp": "01/03/2023 15:13:13",
"content": "thnks then",
"attachments": [],
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},
{
"id": 1059927445324697900,
"author_id": 1020689932634832900,
"author_name": "lilisworld",
"timestamp": "01/03/2023 15:13:15",
"content": ".close",
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},
{
"id": 1059927449007292500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 15:13:16",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
43d3cdead40c4e41a53186e4dea830d3
|
200,516 |
[
{
"id": 1059929989178470400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 15:23:21",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059930210356707500,
"author_id": 632698915824730100,
"author_name": "misky",
"timestamp": "01/03/2023 15:24:14",
"content": "hi i’m just stuck on the whole question",
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"timestamp": "01/03/2023 15:24:15",
"content": "Pinned a message.",
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{
"id": 1059930843923095700,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/03/2023 15:26:45",
"content": "hmmm what have you tried",
"attachments": [],
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},
{
"id": 1059930886621110300,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/03/2023 15:26:55",
"content": "or do u have any thoughts",
"attachments": [],
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},
{
"id": 1059931058122006700,
"author_id": 632698915824730100,
"author_name": "misky",
"timestamp": "01/03/2023 15:27:36",
"content": "absolutely none ngl i’m stupid",
"attachments": [],
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"reference": null
},
{
"id": 1059931370580881400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/03/2023 15:28:51",
"content": "You're given an equation",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059931414218416300,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/03/2023 15:29:01",
"content": "have you tried",
"attachments": [],
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},
{
"id": 1059931464206135400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "01/03/2023 15:29:13",
"content": "It asks for the value of the blades after a period of time",
"attachments": [],
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"reference": null
},
{
"id": 1059931482799485000,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/03/2023 15:29:18",
"content": "substituting in the value of the period?",
"attachments": [],
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},
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"id": 1059934834220351500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 15:42:37",
"content": "@misky Has your question been resolved?",
"attachments": [],
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"id": 1059938610817794000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 15:57:37",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
4ac5b1bf0afd4c6c81128a7219833cd9
|
200,517 |
[
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"id": 1059938863197462700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 15:58:37",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059942373863465000,
"author_id": 721514773073887200,
"author_name": "BearZ",
"timestamp": "01/03/2023 16:12:34",
"content": "i need help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1059942375998357600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 16:12:35",
"content": "Pinned a message.",
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"id": 1059942388606439600,
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"author_name": "BearZ",
"timestamp": "01/03/2023 16:12:38",
"content": "",
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"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 16:27:38",
"content": "@BearZ Has your question been resolved?",
"attachments": [],
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"author_name": "BearZ",
"timestamp": "01/03/2023 16:27:46",
"content": "Nope",
"attachments": [],
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"id": 1059946246116220900,
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"author_name": "BearZ",
"timestamp": "01/03/2023 16:27:57",
"content": "honestly think I messed up a bit here",
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},
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"id": 1059946324352569300,
"author_id": 721514773073887200,
"author_name": "BearZ",
"timestamp": "01/03/2023 16:28:16",
"content": "I just don’t know if this counts as a square as well",
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},
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"id": 1059946343004655600,
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"author_name": "BearZ",
"timestamp": "01/03/2023 16:28:21",
"content": "If it does I’m screwed",
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{
"id": 1059948119288184800,
"author_id": 329750333100130300,
"author_name": "mustangs2637",
"timestamp": "01/03/2023 16:35:24",
"content": "wouldn't be a square",
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},
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"id": 1059948150770638800,
"author_id": 329750333100130300,
"author_name": "mustangs2637",
"timestamp": "01/03/2023 16:35:32",
"content": "not all sides are equal",
"attachments": [],
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},
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"timestamp": "01/03/2023 16:58:21",
"content": "@BearZ Has your question been resolved?",
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"timestamp": "01/03/2023 17:28:21",
"content": "Channel closed",
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}
] |
help-9
|
cc266aad1026446a9ba3d18d4cdaeba2
|
200,518 |
[
{
"id": 1059992845240520800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 19:33:08",
"content": "Available help channel!",
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},
{
"id": 1059996616397967400,
"author_id": 689178453798682900,
"author_name": "Mohmoka",
"timestamp": "01/03/2023 19:48:07",
"content": "Would someone pleae explain me this?",
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},
{
"id": 1059996618721603700,
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"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 19:48:07",
"content": "Pinned a message.",
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"author_name": "Mohmoka",
"timestamp": "01/03/2023 19:48:26",
"content": "",
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"id": 1059997313495478300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/03/2023 19:50:53",
"content": "which part?",
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},
{
"id": 1059997371553034400,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/03/2023 19:51:07",
"content": "looks like little o notation <https://mathworld.wolfram.com/Little-ONotation.html>",
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"id": 1059997388409950300,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/03/2023 19:51:11",
"content": "the underlined portion?",
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},
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"id": 1059998303934222500,
"author_id": 689178453798682900,
"author_name": "Mohmoka",
"timestamp": "01/03/2023 19:54:49",
"content": "Yes 🙂",
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"id": 1059998374293680100,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/03/2023 19:55:06",
"content": "its this",
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},
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"author_id": 689178453798682900,
"author_name": "Mohmoka",
"timestamp": "01/03/2023 19:55:11",
"content": "Yes, but may I know what it means in this context? 😀",
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"author_name": "jan Niku",
"timestamp": "01/03/2023 19:55:21",
"content": "id take it to mean like",
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"id": 1059998833767096400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/03/2023 19:56:55",
"content": "lemme think of how to phrase lmao",
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"id": 1059999007067344900,
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"author_name": "Mohmoka",
"timestamp": "01/03/2023 19:57:37",
"content": "Okay 😀",
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},
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"id": 1059999623541952600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/03/2023 20:00:04",
"content": "i guess that",
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"author_name": "jan Niku",
"timestamp": "01/03/2023 20:00:29",
"content": "eventually it doesnt matter if you keep adding variables i guess is how youd say it",
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"id": 1059999734414192800,
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"author_name": "jan Niku",
"timestamp": "01/03/2023 20:00:30",
"content": ":thonk:",
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"id": 1059999759580016800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/03/2023 20:00:36",
"content": "idk",
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"id": 1059999828387582000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/03/2023 20:00:52",
"content": "sorry :bearlain:",
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},
{
"id": 1059999871815397400,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/03/2023 20:01:03",
"content": "but, i think you can find better explanations of what little o is",
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"author_name": "jan Niku",
"timestamp": "01/03/2023 20:01:08",
"content": "like, any resource other than WA",
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"author_name": "Toby",
"timestamp": "01/03/2023 20:02:56",
"content": "well we want that the difference in sum is small compared to T",
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"id": 1060000385349193900,
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"author_name": "Toby",
"timestamp": "01/03/2023 20:03:05",
"content": "so as jan says, if we add variables it doesnt matter",
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"id": 1060000424599486500,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/03/2023 20:03:15",
"content": "right",
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{
"id": 1060000455062728800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/03/2023 20:03:22",
"content": "idk how to say in more context specific way",
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},
{
"id": 1060000469835071500,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/03/2023 20:03:25",
"content": "ie, eventually, the argmin is close to the new cost of the new x we are adding",
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"id": 1060000716799877100,
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"author_name": "Toby",
"timestamp": "01/03/2023 20:04:24",
"content": "so I guess it might mean that the costs are bounded (tho it might be weaker, not sure)",
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"id": 1060000834483650600,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/03/2023 20:04:52",
"content": "is this ml stuff?",
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{
"id": 1060001020287144000,
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"author_name": "Mohmoka",
"timestamp": "01/03/2023 20:05:37",
"content": "Yes 🙂",
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"id": 1060001634425512000,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/03/2023 20:08:03",
"content": "<https://stats.stackexchange.com/questions/171850/why-regret-is-used-in-online-machine-learning-and-is-there-any-intuitive-explana>",
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"author_name": "Mohmoka",
"timestamp": "01/03/2023 20:09:26",
"content": "Got it.",
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"author_name": "Mohmoka",
"timestamp": "01/03/2023 20:10:56",
"content": "Thank you @Toby and @jan Niku 🙂",
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"timestamp": "01/03/2023 20:14:06",
"content": ".close",
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"timestamp": "01/03/2023 20:14:07",
"content": "Channel closed",
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] |
help-9
|
21b09ed4fd104c3f9bbc2bb5d48c476d
|
200,519 |
[
{
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"author_name": "Mathematics Bot",
"timestamp": "01/03/2023 20:15:07",
"content": "Available help channel!",
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},
{
"id": 1060010624580603900,
"author_id": 1004818687129301100,
"author_name": "the the",
"timestamp": "01/03/2023 20:43:46",
"content": "I know this is the correct table but I'm having trouble understanding why the bottom row is not all 1, this is a column conditional relative frequency table",
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"timestamp": "01/03/2023 20:43:47",
"content": "Pinned a message.",
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"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "01/03/2023 20:44:45",
"content": "The bottom row *totals* to 1",
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"id": 1060010890663039000,
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"author_name": "tatpoj",
"timestamp": "01/03/2023 20:44:50",
"content": "just like the right-hand column",
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{
"id": 1060011185648447500,
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"author_name": "tatpoj",
"timestamp": "01/03/2023 20:46:00",
"content": "btw your part B is incorrect",
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"id": 1060011359682711700,
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"author_name": "tatpoj",
"timestamp": "01/03/2023 20:46:42",
"content": "the \"totals\" at the bottom represent the proportion of voters that belong to each of the Blue, Green and Orange parties",
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"id": 1060011436572692600,
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"author_name": "tatpoj",
"timestamp": "01/03/2023 20:47:00",
"content": "altogether they add up to 1, because they make up the entire population",
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"id": 1060011850110079000,
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"author_name": "the the",
"timestamp": "01/03/2023 20:48:39",
"content": "ok I understand why the bottom row isn't all 1 now\n\nI don't understand why part b is wrong",
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"author_name": "tatpoj",
"timestamp": "01/03/2023 20:49:17",
"content": "If the question said: \"What percent of **voters** are **Green voters from the upper class**\", the answer would be 2%",
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"author_name": "tatpoj",
"timestamp": "01/03/2023 20:49:41",
"content": "But the question says \"What percent of **Green voters** are **from the upper class**\"",
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"id": 1060012261206409300,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "01/03/2023 20:50:17",
"content": "It's asking for a percentage of the green voters, but 0.02 represents that group as a proportion of the entire population",
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"id": 1060012318357991600,
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"author_name": "tatpoj",
"timestamp": "01/03/2023 20:50:30",
"content": "not as a proportion of the green voters",
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{
"id": 1060012441406292100,
"author_id": 1028435052763304000,
"author_name": "spideygirl06",
"timestamp": "01/03/2023 20:51:00",
"content": "^^ you have to look at all the green voters (the 2nd column) and then look at a fraction of those green voters (ie the upper class ones)",
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{
"id": 1060012537661370500,
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"author_name": "spideygirl06",
"timestamp": "01/03/2023 20:51:23",
"content": "It's like if you had 3 different pizzas and you're trying to see which people ate how much of the pizza",
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"author_name": "spideygirl06",
"timestamp": "01/03/2023 20:51:44",
"content": "You only want to look at the cheese pizza and how much Joe ate given that only Joe, Mary and Steve ate the cheese pizza",
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"author_name": "spideygirl06",
"timestamp": "01/03/2023 20:52:17",
"content": "So you can consider it as a ratio",
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"author_name": "spideygirl06",
"timestamp": "01/03/2023 20:52:40",
"content": "(Sorry if I interrupted, I just came up with this analogy and thought it might help out)",
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"id": 1060013051262275600,
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"author_name": "tatpoj",
"timestamp": "01/03/2023 20:53:25",
"content": "lol I'm sure I would have come up with something food related too",
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"id": 1060013082342080600,
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"author_name": "tatpoj",
"timestamp": "01/03/2023 20:53:32",
"content": "it always seems to go that way",
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"author_name": "the the",
"timestamp": "01/03/2023 20:54:14",
"content": "so the upper class that voted for green is 2% of the entire population, the green voters are 46% of the population, so 9.2% of green voters came from the upper class",
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"author_name": "spideygirl06",
"timestamp": "01/03/2023 20:55:05",
"content": "I think something is wrong with your math (unless I'm just dumb)",
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"author_name": "spideygirl06",
"timestamp": "01/03/2023 20:55:17",
"content": "It should be closer to 4% I think",
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"author_name": "tatpoj",
"timestamp": "01/03/2023 20:55:27",
"content": "yeah",
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"id": 1060013575239905400,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "01/03/2023 20:55:30",
"content": "what did you do to get 9.2%?",
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"author_name": "spideygirl06",
"timestamp": "01/03/2023 20:55:30",
"content": "2/46 is like 1/23 which is about 4%",
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"timestamp": "01/03/2023 20:55:55",
"content": "Oh I think you multiplied",
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"id": 1060013714687922300,
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"author_name": "tatpoj",
"timestamp": "01/03/2023 20:56:03",
"content": "You want to take 0.02/0.46",
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"id": 1060013769683652700,
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"author_name": "tatpoj",
"timestamp": "01/03/2023 20:56:16",
"content": "(green voters from the upper class) as a proportion of (green voters)",
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},
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"id": 1060013777350824000,
"author_id": 1004818687129301100,
"author_name": "the the",
"timestamp": "01/03/2023 20:56:18",
"content": "I also misread my calculator",
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"timestamp": "01/03/2023 20:57:19",
"content": "so \\[\\approx 4.3\\%\\]?",
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"content": "yep",
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"content": "**the the**",
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"timestamp": "01/03/2023 20:58:10",
"content": "alright, I think I understand",
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"content": "just, whenever it says \"what percentage of (blank) is (blank)\", treat the first blank as the total",
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"content": "alr",
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"content": "it's the size of the group you're being asked about",
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"timestamp": "01/03/2023 20:59:18",
"content": "sometimes that will be the total total, but sometimes it might be the total of some smaller group",
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"timestamp": "01/03/2023 21:07:35",
"content": "so for part c the total number of citizens who voted is \\(0.16x=560\\) so the number of voters is 3500, so the number of middle class citizens is \\(0.14 \\cdot 3500\\) which equals 490?",
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"content": "**the the**",
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"content": ".close",
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] |
help-9
|
8275c6eb9871411dbe11ed594ee49479
|
200,520 |
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"timestamp": "01/03/2023 22:40:12",
"content": "Available help channel!",
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"author_name": "syolmao",
"timestamp": "01/03/2023 22:47:19",
"content": "Helloo uh- i jus need help how to get the point of the graph pls:)),,, (first pic is an example of our performance task, im in 9th grade nd a returnee to my old school so i had to keep up with their lessons nd all-)",
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"content": "@syolmao Has your question been resolved?",
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"content": "@syolmao Has your question been resolved?",
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"content": "can someon please help me?:')",
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"timestamp": "01/03/2023 23:47:35",
"content": "The second picture?",
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"content": "yepp",
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"timestamp": "01/03/2023 23:48:07",
"content": "Look at the photo and find the point of vertex first",
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"author_name": "syolmao",
"timestamp": "01/03/2023 23:48:24",
"content": "v(6, -3) right?",
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"author_name": "syolmao",
"timestamp": "01/03/2023 23:48:46",
"content": "or is it the other way round",
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"timestamp": "01/03/2023 23:48:47",
"content": "I would say maybe (-2, 6)",
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"timestamp": "01/03/2023 23:48:57",
"content": "oh woops",
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"timestamp": "01/03/2023 23:49:10",
"content": "Look at the point where the x axis (horizontal line) crosses the y-axis (vertical line)",
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"timestamp": "01/03/2023 23:49:14",
"content": "Do you know where that is?",
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"timestamp": "01/03/2023 23:49:42",
"content": "uhhh",
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"author_name": "syolmao",
"timestamp": "01/03/2023 23:50:11",
"content": "no sorry??😭 wait i dont rlly get what u mean- imsorry",
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"timestamp": "01/03/2023 23:50:18",
"content": "the middle???",
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"timestamp": "01/03/2023 23:51:01",
"content": "ohh",
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"timestamp": "01/03/2023 23:51:16",
"content": "The little red dot, where the x axis and y axis cross each other, is called the **origin**",
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"timestamp": "01/03/2023 23:51:29",
"content": "ohh okok",
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"timestamp": "01/03/2023 23:51:31",
"content": "It has the point (0,0), so if you ever forget just refer to this point",
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"timestamp": "01/03/2023 23:51:39",
"content": "I always like to work left to right and up down",
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"timestamp": "01/03/2023 23:52:15",
"content": "So if we want to find the vertex, we just look at the graph of the quadratic, known as the parabola and find its \"peak\"",
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"timestamp": "01/03/2023 23:52:20",
"content": "You've done this",
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"timestamp": "01/03/2023 23:52:45",
"content": "oooo",
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"timestamp": "01/03/2023 23:52:46",
"content": "Then we move two units to the left, to (-2,0)",
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"timestamp": "01/03/2023 23:53:02",
"content": "We have obtained the x coordinate but we are missing the y coordinate",
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"timestamp": "01/03/2023 23:53:12",
"content": "So we look at the y coordinate and move accordingly by 6 units",
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"content": "The point of vertex then, must be (-2, 6)",
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"content": "You can think of a set of instructions, move 2 units to the LEFT and then 6 units UPWARDSW",
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"timestamp": "01/03/2023 23:54:27",
"content": "i get it tyty, but im confused how ur supposed to decide which the \"points\" are?",
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"timestamp": "01/03/2023 23:54:56",
"content": "the point of vertex is not (1,4) in this photo",
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"timestamp": "01/03/2023 23:55:07",
"content": "Maybe in the other photo",
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"timestamp": "01/03/2023 23:55:16",
"content": "yea",
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"timestamp": "01/03/2023 23:55:25",
"content": "Maybe you should review the properties of parabolas",
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"timestamp": "01/03/2023 23:55:36",
"content": "the first pic was an example, the second pic is mine",
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"timestamp": "01/03/2023 23:55:39",
"content": "Such as the y intercept, x intercept, axis of symmetry, vertex etc",
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"timestamp": "01/03/2023 23:55:52",
"content": "she instructed us to find smth parabolic(?) nd like",
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"timestamp": "01/03/2023 23:55:56",
"content": "solve it or smth",
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"timestamp": "01/03/2023 23:55:58",
"content": "like the example",
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"timestamp": "01/03/2023 23:56:00",
"content": "Well sure",
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"timestamp": "01/03/2023 23:56:17",
"content": "In your photo you have somewhat identified the vertex",
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"timestamp": "01/03/2023 23:56:25",
"content": "Can you tell me the x-intercepts?",
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"timestamp": "01/03/2023 23:58:10",
"content": "the vertex? V(-2, 6) or smth else?.-.",
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"timestamp": "01/03/2023 23:58:23",
"content": "We want to x axis now",
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"timestamp": "01/03/2023 23:58:24",
"content": "im a slow learner sorry",
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"timestamp": "01/03/2023 23:58:33",
"content": "That is fine",
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"timestamp": "01/03/2023 23:58:55",
"content": "x axis?",
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"timestamp": "01/03/2023 23:59:02",
"content": "Ah sorry",
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"content": "We want the x intercepts (the point where it crosses the x-axis)",
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"content": "theeee",
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"content": "-2?",
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"content": "oh",
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"timestamp": "01/04/2023 00:01:04",
"content": "Okay I was just asking for you to identify the properties of the parabola",
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"content": "Look at the example your teacher gave you, you need the vertex and a known point on the parabola",
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"content": "You can use that and the quadratic expression provided to solve for a",
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"content": "wait so do i jus pick like uh",
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"content": "you will get a quadratic expression and please solve that for f(x)",
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"content": "random points-",
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"content": "not random",
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"content": "any point *on* the parabola",
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"content": "giv me a second👍",
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"content": "@syolmao Has your question been resolved?",
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] |
help-9
|
cfd745b7eb57430f89ba906388fec7d4
|
200,521 |
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"timestamp": "10/27/2022 12:15:58",
"content": "Available help channel!",
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"author_id": 784747769298288800,
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"timestamp": "10/27/2022 12:16:55",
"content": "is ln x * ln x = ln 2x or ln x^2 or 2 lnx",
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"timestamp": "10/27/2022 12:18:14",
"content": "okay thx",
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"content": ".close",
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help-9
|
a2d96f2cd11249818341144f7f74f2f3
|
200,522 |
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"timestamp": "01/04/2023 02:04:35",
"content": "Available help channel!",
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"timestamp": "01/04/2023 02:38:26",
"content": "Use the definition of subspace",
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"author_name": "Levens",
"timestamp": "01/04/2023 02:39:30",
"content": "ig that U is a subset of R[t]",
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"author_name": "Ann",
"timestamp": "01/04/2023 02:42:10",
"content": "do you know the definition of a subspace?",
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"author_name": "Levens",
"timestamp": "01/04/2023 02:43:08",
"content": "yeah scalar multiplication and addition should also work for it to be a subspace",
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"id": 1060102505402482700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/04/2023 02:48:53",
"content": "in order for U to be a subspace, it must be the case that for every p, q ∈ U and c ∈ R, we also have p+q ∈ U and cp ∈ U",
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"id": 1060102828854607900,
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"timestamp": "01/04/2023 02:50:10",
"content": "yes",
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"author_name": "Levens",
"timestamp": "01/04/2023 02:50:46",
"content": "how can i show that",
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"author_name": "Ann",
"timestamp": "01/04/2023 02:56:44",
"content": "use the definition of U",
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"id": 1060104518601293800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/04/2023 02:56:53",
"content": "and your knowledge of function addition",
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"author_name": "Levens",
"timestamp": "01/04/2023 02:58:35",
"content": "is p basically t(t+1)(t-1)?",
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"timestamp": "01/04/2023 03:07:00",
"content": "no",
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"author_name": "Ann",
"timestamp": "01/04/2023 03:07:13",
"content": "t(t+1)(t-1) is in U, but is far from the only element in it",
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"timestamp": "01/04/2023 03:07:58",
"content": "ok im stuck then",
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"author_name": "Levens",
"timestamp": "01/04/2023 03:08:23",
"content": "what can I use for p and q then",
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"timestamp": "01/04/2023 03:09:09",
"content": "nothing, they are just p and q",
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"author_name": "Ann",
"timestamp": "01/04/2023 03:09:21",
"content": "they are polynomials whose values at -1, 0 and 1 are zero",
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"timestamp": "01/04/2023 03:09:32",
"content": "show that p+q satisfies the same property",
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"timestamp": "01/04/2023 03:09:48",
"content": "thats what im saying how can i do that",
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"timestamp": "01/04/2023 03:10:12",
"content": "show that (p+q)(-1) = 0",
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"timestamp": "01/04/2023 03:10:20",
"content": "and (p+q)(0) = 0",
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"timestamp": "01/04/2023 03:10:25",
"content": "and (p+q)(1) = 0",
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"timestamp": "01/04/2023 03:10:36",
"content": "no like",
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"author_name": "Levens",
"timestamp": "01/04/2023 03:10:45",
"content": "the p+q part is what i dont know how to do",
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"id": 1060108130152894600,
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"author_name": "Levens",
"timestamp": "01/04/2023 03:11:14",
"content": "like i dont know how to show it",
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"author_name": "Ann",
"timestamp": "01/04/2023 03:11:39",
"content": "do you know how (p+q)(t) is defined",
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"author_name": "Levens",
"timestamp": "01/04/2023 03:13:08",
"content": "p(t) + q(t)?",
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"author_name": "riemann",
"timestamp": "01/04/2023 03:21:13",
"content": "Some good examples here as well once you get to the quotient subspace \nhttps://en.wikipedia.org/wiki/Quotient_space_(linear_algebra)",
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"timestamp": "01/04/2023 03:28:08",
"content": "@Levens Has your question been resolved?",
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"author_name": "Levens",
"timestamp": "01/04/2023 03:45:50",
"content": "where do i go from p(t) + q(t)...",
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{
"id": 1060119131388641300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/04/2023 03:54:56",
"content": "you have to show that s=p+q satisfies that s(-1)=s(0)=s(1)=0",
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"author_name": "Denascite",
"timestamp": "01/04/2023 03:55:10",
"content": "you know that s(t) = (p+q)(t) = p(t)+q(t)",
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"timestamp": "01/04/2023 03:55:17",
"content": "so what is s(-1), s(0) and s(1)",
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"timestamp": "01/04/2023 03:56:09",
"content": "mmm s(-1) = p(-1) + q(-1) = 0 + 0 = 0",
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"timestamp": "01/04/2023 03:56:15",
"content": "like that?",
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"timestamp": "01/04/2023 03:56:23",
"content": "yes",
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"timestamp": "01/04/2023 03:56:38",
"content": "ahh alr thanks",
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"timestamp": "01/04/2023 03:56:51",
"content": "do you know how i could determine the dimension?",
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"author_name": "Denascite",
"timestamp": "01/04/2023 03:57:42",
"content": "you could find a basis",
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"author_name": "Levens",
"timestamp": "01/04/2023 04:01:09",
"content": "hmmm for R[t] and U individually first?",
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"id": 1060121352335536100,
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"author_name": "Denascite",
"timestamp": "01/04/2023 04:03:46",
"content": "well a basis for R[t] is obvious",
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"id": 1060121371713216500,
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"author_name": "Denascite",
"timestamp": "01/04/2023 04:03:51",
"content": "doesn't help you here",
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"author_name": "Denascite",
"timestamp": "01/04/2023 04:04:03",
"content": "if you want to find the dimension of a subspace you have to find a basis of that subspace",
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"timestamp": "01/04/2023 04:04:07",
"content": "not some other space",
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"author_name": "Levens",
"timestamp": "01/04/2023 04:04:48",
"content": "oh well i meant the dimension of the quotient space R[t]/U",
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"author_name": "Denascite",
"timestamp": "01/04/2023 04:05:07",
"content": "yeah I should have said quotient space not subspace. but point still stands",
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"timestamp": "01/04/2023 04:05:33",
"content": "oh okay",
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"timestamp": "01/04/2023 04:08:53",
"content": "alr i need to go over basis... i cant come up with something comprehendable",
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"timestamp": "01/04/2023 04:09:10",
"content": "what basis would you use?",
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"id": 1060128164183023600,
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"author_name": "Denascite",
"timestamp": "01/04/2023 04:30:50",
"content": "think about how you can write each polynomial in R[t] as an element in U plus some remainder",
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},
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"id": 1060129267368865900,
"author_id": 553581172802977800,
"author_name": "Levens",
"timestamp": "01/04/2023 04:35:13",
"content": "im assuming id have to involve t+1 and t-1 somewhere",
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},
{
"id": 1060136818005258400,
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"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 05:05:13",
"content": "@Levens Has your question been resolved?",
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{
"id": 1060144524342599800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/04/2023 05:35:51",
"content": "And t. Ok let's do a basis for U first",
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},
{
"id": 1060144610141290500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/04/2023 05:36:11",
"content": "What factor does every element in U have",
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},
{
"id": 1060149060155220000,
"author_id": 553581172802977800,
"author_name": "Levens",
"timestamp": "01/04/2023 05:53:52",
"content": "idk 1?",
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},
{
"id": 1060159918579122200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/04/2023 06:37:01",
"content": "Yes but not what I want",
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},
{
"id": 1060160019875778700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "01/04/2023 06:37:25",
"content": "What roots does every polynomial in U have? Therefore what factor does every polynomial in U have?",
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},
{
"id": 1060165056437952600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 06:57:26",
"content": "@Levens Has your question been resolved?",
"attachments": [],
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{
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"id": 1060180157970784300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 07:57:26",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
bba8cf1edaed417e85e70eb3b795b952
|
200,523 |
[
{
"id": 1060180411138982000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 07:58:27",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060180848151908400,
"author_id": 588670121585803300,
"author_name": "Stotram",
"timestamp": "01/04/2023 08:00:11",
"content": "can someone tell me what sign is this",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1060180847883456522/image.png",
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"timestamp": "01/04/2023 08:00:11",
"content": "Pinned a message.",
"attachments": [],
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"author_id": 588670121585803300,
"author_name": "Stotram",
"timestamp": "01/04/2023 08:26:36",
"content": "for anyone who wants to know, its the symbol for factorial",
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},
{
"id": 1060187500636819500,
"author_id": 588670121585803300,
"author_name": "Stotram",
"timestamp": "01/04/2023 08:26:37",
"content": ".close",
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},
{
"id": 1060187503618969600,
"author_id": 805217272087838700,
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"timestamp": "01/04/2023 08:26:38",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
fdeeb55cd16944269296a2c363cddd58
|
200,524 |
[
{
"id": 1060187756095082500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 08:27:38",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060188473589510100,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "01/04/2023 08:30:29",
"content": "in a book of mathematical puzzles:",
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"timestamp": "01/04/2023 08:30:30",
"content": "Pinned a message.",
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"id": 1060188882076963000,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/04/2023 08:32:06",
"content": "white",
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},
{
"id": 1060188894991220700,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/04/2023 08:32:09",
"content": "it is easy",
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},
{
"id": 1060188983935639600,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "01/04/2023 08:32:31",
"content": "why is that?",
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{
"id": 1060189035961794600,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/04/2023 08:32:43",
"content": "see it can only happen in poles",
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},
{
"id": 1060189088180863000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/04/2023 08:32:55",
"content": "come to think of it, doesn't the wording of the problem imply that ||the planet that the man lives on is only 40 miles in circumference?||",
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},
{
"id": 1060189091628601300,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "01/04/2023 08:32:56",
"content": "ahhh",
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},
{
"id": 1060189130144878600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/04/2023 08:33:05",
"content": "oh wait nvm",
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},
{
"id": 1060189178219995300,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/04/2023 08:33:17",
"content": "like walk south the east then north and it can only be possible if man started from north pole",
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},
{
"id": 1060189202765054000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "01/04/2023 08:33:23",
"content": "Spectroscopy would help",
"attachments": [],
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"reference": null
},
{
"id": 1060189371728412700,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "01/04/2023 08:34:03",
"content": "very nice :)",
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"id": 1060189418671067300,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "01/04/2023 08:34:14",
"content": "$log10\\frac{I}{I_0}=\\epsilon lc$",
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},
{
"id": 1060189570303541200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/04/2023 08:34:50",
"content": "**Fucktalogist**",
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"id": 1060189686494134400,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "01/04/2023 08:35:18",
"content": "answer is red",
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},
{
"id": 1060189869915250800,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "01/04/2023 08:36:02",
"content": "apparently this is possible from another point (not necessarily the north pole)",
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},
{
"id": 1060190077109670000,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "01/04/2023 08:36:51",
"content": "this book a gem is from 1962",
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{
"id": 1060190078909034600,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "01/04/2023 08:36:52",
"content": "found it in my university library",
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},
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"id": 1060190235490779100,
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"author_name": "fantastic mr. fox",
"timestamp": "01/04/2023 08:37:29",
"content": "like which point",
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"timestamp": "01/04/2023 08:38:27",
"content": "",
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"timestamp": "01/04/2023 08:40:11",
"content": "oo right",
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{
"id": 1060190959654162400,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "01/04/2023 08:40:22",
"content": "does the 11.5 number come from the radius of the earth?",
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},
{
"id": 1060191107708878800,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/04/2023 08:40:57",
"content": "i dont know",
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},
{
"id": 1060191141326229600,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/04/2023 08:41:05",
"content": "maybe it was 10 mile",
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},
{
"id": 1060191167330918400,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/04/2023 08:41:11",
"content": "then it would be right",
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},
{
"id": 1060191309710758000,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "01/04/2023 08:41:45",
"content": "the point is that when you're ~1.5mi from the pole walking 10mile means you walk in a circle because 2 * pi * r",
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{
"id": 1060191409606496300,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "01/04/2023 08:42:09",
"content": "so you return to the same point after the 10 miles",
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},
{
"id": 1060191587986067600,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "01/04/2023 08:42:51",
"content": "that's cool",
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},
{
"id": 1060191616259870700,
"author_id": 654879167376261100,
"author_name": "IV",
"timestamp": "01/04/2023 08:42:58",
"content": "except it shoudn't be 1.5 it's closer to 1.6 :thinkies:\nidea is right anyhow",
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},
{
"id": 1060191660128079900,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/04/2023 08:43:09",
"content": "thats clever",
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},
{
"id": 1060191713618038800,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/04/2023 08:43:21",
"content": "i also have a puzzle book .",
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},
{
"id": 1060191779925786800,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/04/2023 08:43:37",
"content": "but i never tried solving it",
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},
{
"id": 1060191988789555300,
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"author_name": "tushar",
"timestamp": "01/04/2023 08:44:27",
"content": "this was an enjoyable puzzle",
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},
{
"id": 1060192044376674300,
"author_id": 176048095543558140,
"author_name": "tushar",
"timestamp": "01/04/2023 08:44:40",
"content": "thanks for enlightening me",
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},
{
"id": 1060192087645110300,
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"author_name": "tushar",
"timestamp": "01/04/2023 08:44:51",
"content": ".close",
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},
{
"id": 1060192090832773100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 08:44:51",
"content": "Channel closed",
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}
] |
help-9
|
631c80ab2d6f493387bade10822f99ed
|
200,525 |
[
{
"id": 1060195218269413400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 08:57:17",
"content": "Available help channel!",
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},
{
"id": 1060195276448616600,
"author_id": 942005353976062000,
"author_name": "Aran",
"timestamp": "01/04/2023 08:57:31",
"content": "I need an example for solving Ax=b by QR decomposition.",
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},
{
"id": 1060195278562541700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 08:57:31",
"content": "Pinned a message.",
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{
"id": 1060195440349425800,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "01/04/2023 08:58:10",
"content": "you mean matrix reducing?",
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},
{
"id": 1060195463439061100,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "01/04/2023 08:58:15",
"content": "one second",
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},
{
"id": 1060195761511481300,
"author_id": 942005353976062000,
"author_name": "Aran",
"timestamp": "01/04/2023 08:59:27",
"content": "We have A=rand(6) and b=rand(6,1). Now I want to see the step to solve this equation by QR decommposition.",
"attachments": [],
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},
{
"id": 1060195966352887800,
"author_id": 942005353976062000,
"author_name": "Aran",
"timestamp": "01/04/2023 09:00:15",
"content": "Also do we have an example where LU is not working and QR is able to solve?",
"attachments": [],
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},
{
"id": 1060199742333800400,
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"timestamp": "01/04/2023 09:15:16",
"content": "@Aran Has your question been resolved?",
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"id": 1060207306991751200,
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"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 09:45:19",
"content": "@Aran Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 942005353976062000,
"name": "Aran",
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},
{
"id": 1060218982759682000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/04/2023 10:31:43",
"content": "no offense but what have you explored in attempting to answer this question?",
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"id": 1060220145613676500,
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"author_name": "Aran",
"timestamp": "01/04/2023 10:36:20",
"content": "@jan Niku https://www.quora.com/Is-QR-decomposition-better-than-LU-decomposition-for-solving-a-system-of-linear-equations",
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"timestamp": "01/04/2023 11:36:20",
"content": "@Aran Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 13:36:29",
"content": "@Aran Has your question been resolved?",
"attachments": [],
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{
"id": 1060270806447439900,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/04/2023 13:57:39",
"content": ".close",
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"timestamp": "01/04/2023 15:36:30",
"content": "Channel closed",
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] |
help-9
|
748f885f26894f8ba333da6b68974bd2
|
200,526 |
[
{
"id": 1060298218300256300,
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"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 15:46:34",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1060298518016819200,
"author_id": 1029705719550845000,
"author_name": "nxdom23",
"timestamp": "01/04/2023 15:47:46",
"content": "How do they introduce a ‘y’ like this",
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"content": "Pinned a message.",
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"id": 1060298648887500900,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/04/2023 15:48:17",
"content": "so",
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"id": 1060298666503569400,
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"author_name": "Lima",
"timestamp": "01/04/2023 15:48:21",
"content": "you accept that",
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"id": 1060298674611175400,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/04/2023 15:48:23",
"content": "right ok",
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"timestamp": "01/04/2023 15:48:33",
"content": "ok",
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"author_name": "chartbit",
"timestamp": "01/04/2023 15:49:12",
"content": "Whereabouts are you confused, is there a particular line?",
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"timestamp": "01/04/2023 15:49:57",
"content": "On the first line P(X>x)=",
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"timestamp": "01/04/2023 15:50:06",
"content": "Why’s it with respect to y",
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"content": "",
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"author_name": "nxdom23",
"timestamp": "01/04/2023 15:52:07",
"content": "Shouldn’t it be this",
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"id": 1060299642065146000,
"author_id": 1029705719550845000,
"author_name": "nxdom23",
"timestamp": "01/04/2023 15:52:14",
"content": "With dx at the end",
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"id": 1060300212935078000,
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"author_name": "chartbit",
"timestamp": "01/04/2023 15:54:30",
"content": "Well, for one, you have x in both the integral and the limits, which is bad form, so best to label them something else",
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"author_name": "chartbit",
"timestamp": "01/04/2023 15:55:24",
"content": "And in any case, it's just an integration variable, no? Doesn't really matter what letter you use there, could say $\\int_{x}^{\\infty} f(t) dt$, $\\int_{x}^{\\infty} f(z) dz$, and so on",
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"id": 1060300451859398800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/04/2023 15:55:27",
"content": "**chartbit**",
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"timestamp": "01/04/2023 15:56:21",
"content": "But it's not a great idea to take the same letters for variables as appear in the limits",
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"timestamp": "01/04/2023 15:56:35",
"content": "I fully understand this thanks!",
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"author_name": "nxdom23",
"timestamp": "01/04/2023 15:57:07",
"content": "So how does this now become a double integral",
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"id": 1060301164152889300,
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"author_name": "chartbit",
"timestamp": "01/04/2023 15:58:16",
"content": "As then you're taking the integral $\\int_{0}^{\\infty} 1 - F_{X}(x) dx$, but that $1 - F_{X}(x)$ is defined via an integral itself, via the line above it",
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"timestamp": "01/04/2023 15:58:29",
"content": "**chartbit**",
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"timestamp": "01/04/2023 15:59:20",
"content": "So then just sub that integral in the place of $1 - F_{X}(x)$ and you get a double integral",
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"timestamp": "01/04/2023 15:59:23",
"content": "**chartbit**",
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"author_name": "nxdom23",
"timestamp": "01/04/2023 15:59:46",
"content": "Oh never mind that was an silly mistake",
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"id": 1060301558434254800,
"author_id": 1029705719550845000,
"author_name": "nxdom23",
"timestamp": "01/04/2023 15:59:50",
"content": "Thanks again!",
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},
{
"id": 1060301609957077000,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/04/2023 16:00:03",
"content": "My pleasure :happyCat:",
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"id": 1060303217172435000,
"author_id": 1029705719550845000,
"author_name": "nxdom23",
"timestamp": "01/04/2023 16:06:26",
"content": "Another question",
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{
"id": 1060303297707262000,
"author_id": 1029705719550845000,
"author_name": "nxdom23",
"timestamp": "01/04/2023 16:06:45",
"content": "How can you change the order of integration without the original graph",
"attachments": [],
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},
{
"id": 1060303512640176100,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/04/2023 16:07:36",
"content": "Without the justification they said at the bottom?",
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"id": 1060304461773414500,
"author_id": 1029705719550845000,
"author_name": "nxdom23",
"timestamp": "01/04/2023 16:11:23",
"content": "Oh never mind it’s ok",
"attachments": [],
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},
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"id": 1060304474956124200,
"author_id": 1029705719550845000,
"author_name": "nxdom23",
"timestamp": "01/04/2023 16:11:26",
"content": "Thanks!",
"attachments": [],
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},
{
"id": 1060305174452781200,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/04/2023 16:14:13",
"content": "Hahaha I barely did anything that time :KEK: but happy you got there! :happyCat:",
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"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 16:26:26",
"content": "@nxdom23 Has your question been resolved?",
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"timestamp": "01/04/2023 16:26:32",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
6ae0d555c0e74bb49f0d6986446d3cfc
|
200,527 |
[
{
"id": 1060316747317657700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 17:00:12",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1060317417106063400,
"author_id": 828387097551044700,
"author_name": "grinch",
"timestamp": "01/04/2023 17:02:51",
"content": "hi",
"attachments": [],
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},
{
"id": 1060317420654440600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 17:02:52",
"content": "Pinned a message.",
"attachments": [],
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"content": "",
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{
"id": 1060319513184309200,
"author_id": 715259748504698900,
"author_name": "Toucan",
"timestamp": "01/04/2023 17:11:11",
"content": "what the fuck is that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060319831536173200,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/04/2023 17:12:27",
"content": "> Ask your math question in a clear, concise manner.",
"attachments": [],
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"reference": null
},
{
"id": 1060319919562035200,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/04/2023 17:12:48",
"content": "> Show your work, and if possible, explain where you are stuck.",
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"mentions": [],
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},
{
"id": 1060320571759538300,
"author_id": 828387097551044700,
"author_name": "grinch",
"timestamp": "01/04/2023 17:15:24",
"content": "what i have so far is : false and true or false for the first statement",
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},
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"id": 1060320583595868200,
"author_id": 828387097551044700,
"author_name": "grinch",
"timestamp": "01/04/2023 17:15:26",
"content": "this is discrete math",
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},
{
"id": 1060322325876179000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "01/04/2023 17:22:22",
"content": "Note you really have:\n(false and true) or false",
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},
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"id": 1060322405828022400,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "01/04/2023 17:22:41",
"content": "What's (false and true)?",
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},
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"id": 1060322651068973200,
"author_id": 728158378622189700,
"author_name": "Kookiemon",
"timestamp": "01/04/2023 17:23:39",
"content": "It's a truth table for ~~boolean~~ proposotional logic.",
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"id": 1060323446220922900,
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"author_name": "dldh06",
"timestamp": "01/04/2023 17:26:49",
"content": "Wouldn't that technically be propositional logic?",
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"timestamp": "01/04/2023 17:27:24",
"content": "You are correct.",
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"id": 1060324852017406000,
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"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 17:32:24",
"content": "@grinch Has your question been resolved?",
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"author_name": "grinch",
"timestamp": "01/04/2023 17:33:09",
"content": "wait",
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},
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"id": 1060325082653794400,
"author_id": 828387097551044700,
"author_name": "grinch",
"timestamp": "01/04/2023 17:33:19",
"content": "explain this please",
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},
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"id": 1060325157702479900,
"author_id": 828387097551044700,
"author_name": "grinch",
"timestamp": "01/04/2023 17:33:37",
"content": "isnt it false?",
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},
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"id": 1060325176430051300,
"author_id": 828387097551044700,
"author_name": "grinch",
"timestamp": "01/04/2023 17:33:41",
"content": "cuz it cant be false and true",
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},
{
"id": 1060325182331429000,
"author_id": 828387097551044700,
"author_name": "grinch",
"timestamp": "01/04/2023 17:33:43",
"content": "so its false",
"attachments": [],
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},
{
"id": 1060328070009061500,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "01/04/2023 17:45:11",
"content": "(false AND true) = false\nYou can check the truth table for AND if you need to confirm",
"attachments": [],
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},
{
"id": 1060328115366265000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "01/04/2023 17:45:22",
"content": "@grinch",
"attachments": [],
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},
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"id": 1060328267573375000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "01/04/2023 17:45:58",
"content": "You're left with:\nfalse OR false",
"attachments": [],
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},
{
"id": 1060332733127204900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 18:03:43",
"content": "@grinch Has your question been resolved?",
"attachments": [],
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},
{
"id": 1060340284547928200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 18:33:44",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
dc69561ffae643e1a6e1e6e474d8e537
|
200,528 |
[
{
"id": 1060345834773950600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 18:55:47",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1060352344522498000,
"author_id": 975596652356309000,
"author_name": "Beyon Drpz",
"timestamp": "01/04/2023 19:21:39",
"content": "Does anyone know any easier ways for calculating these types of limits or would filling in x with something closer and closer to 5 work well enough",
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"timestamp": "01/04/2023 19:21:39",
"content": "Pinned a message.",
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"author_name": "Clarkie",
"timestamp": "01/04/2023 19:24:30",
"content": "theres going to be a singularity at x=5, and sinx * 1/((5-x)^4) is equivalent in form so you just have lim [sin(5)] * lim[inf]",
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"content": "denom goes to zero and numerator does not, hence it diverges",
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"timestamp": "01/04/2023 19:24:36",
"content": "yeah",
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"id": 1060353153360478200,
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"author_name": "Gooaaa",
"timestamp": "01/04/2023 19:24:52",
"content": "Yeah",
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"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "01/04/2023 19:25:00",
"content": "No need to know value of sin(5)",
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"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "01/04/2023 19:25:12",
"content": "negative or positive?",
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},
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"id": 1060353268292800600,
"author_id": 975596652356309000,
"author_name": "Beyon Drpz",
"timestamp": "01/04/2023 19:25:19",
"content": "doesnt tell me",
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},
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"id": 1060353282570191000,
"author_id": 975596652356309000,
"author_name": "Beyon Drpz",
"timestamp": "01/04/2023 19:25:22",
"content": "some do and some dont",
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},
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"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "01/04/2023 19:25:25",
"content": "no sin(5) does",
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"content": "",
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"timestamp": "01/04/2023 19:25:56",
"content": "",
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"id": 1060353542206009500,
"author_id": 183414609833754620,
"author_name": "Duh Hello",
"timestamp": "01/04/2023 19:26:24",
"content": "sin(5) is negative and the denom is always positive so you can from there deduct that it will diverge towards -$\\infty$",
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"id": 1060353552058433700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/04/2023 19:26:27",
"content": "**Duh Hello**",
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"timestamp": "01/04/2023 19:26:37",
"content": ":this:",
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"id": 1060353711534252200,
"author_id": 256906999348854800,
"author_name": "Clarkie",
"timestamp": "01/04/2023 19:27:05",
"content": "if it were cosx / ((5-x)^4) you would have +inf",
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"id": 1060353971325255800,
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"timestamp": "01/04/2023 19:28:07",
"content": "alr",
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"timestamp": "01/04/2023 19:29:00",
"content": "Nice",
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},
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"author_id": 975596652356309000,
"author_name": "Beyon Drpz",
"timestamp": "01/04/2023 19:29:07",
"content": ".close",
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},
{
"id": 1060354225944662000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 19:29:07",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
56a01ab5ef76491bbf4d3e1619696de8
|
200,529 |
[
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"id": 1060354872953819100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 19:31:42",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1060356599908159500,
"author_id": 266229616853778430,
"author_name": "HaruSenshi",
"timestamp": "01/04/2023 19:38:33",
"content": "I have a problem regarding probabilities. The exercise is as follows: there are 10 ppl and 2 cars. 1 car holds 6 the 2nd 4, only 7 ppl can drive. How many distinct times can you distribute those people on the 2 cars?\nMy problem is that im unsure whether to use combinations or arrangements for them. I know that people always use arrangements but they dont ask for them to be ordered in a given car so idk what to do",
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"id": 1060356602647031800,
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"timestamp": "01/04/2023 19:38:34",
"content": "Pinned a message.",
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"id": 1060357739613782100,
"author_id": 779628201474261000,
"author_name": "Jason0x0",
"timestamp": "01/04/2023 19:43:05",
"content": "It should be combinations,",
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},
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"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 19:53:34",
"content": "@HaruSenshi Has your question been resolved?",
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"timestamp": "01/04/2023 19:54:24",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
a84da8d4d469443a99e68bee647e6ca6
|
200,530 |
[
{
"id": 1060360836876611700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 19:55:24",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1060361414948163700,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/04/2023 19:57:41",
"content": "in an exponential function, how do u know based on the question if its",
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},
{
"id": 1060361417523482600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 19:57:42",
"content": "Pinned a message.",
"attachments": [],
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"id": 1060361447328190600,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/04/2023 19:57:49",
"content": "add a percentage increase",
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},
{
"id": 1060361452273279000,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/04/2023 19:57:50",
"content": "or times",
"attachments": [],
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},
{
"id": 1060361500121911300,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/04/2023 19:58:02",
"content": "like \n270 x (1.03)",
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},
{
"id": 1060361502097416200,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/04/2023 19:58:02",
"content": "vs",
"attachments": [],
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},
{
"id": 1060361532921364600,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/04/2023 19:58:10",
"content": "270 + 1.03",
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},
{
"id": 1060361656129048600,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/04/2023 19:58:39",
"content": "exponential expression*",
"attachments": [],
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},
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"id": 1060364336167665700,
"author_id": 723628097013809200,
"author_name": "slapppoooo",
"timestamp": "01/04/2023 20:09:18",
"content": "@Goldi are you asking the difference between those two?",
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"timestamp": "01/04/2023 20:14:18",
"content": "@Goldi Has your question been resolved?",
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"id": 1060366546586832900,
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"timestamp": "01/04/2023 20:18:05",
"content": "yes",
"attachments": [],
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},
{
"id": 1060366592246034600,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/04/2023 20:18:16",
"content": "i think i figured it out tthough,",
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},
{
"id": 1060366596658450400,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/04/2023 20:18:17",
"content": "all good",
"attachments": [],
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},
{
"id": 1060366600366215300,
"author_id": 236252356553998340,
"author_name": "Goldi",
"timestamp": "01/04/2023 20:18:18",
"content": ".close",
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},
{
"id": 1060366602975060100,
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"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 20:18:18",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
60a0ae19b69144a696b833acd036b438
|
200,531 |
[
{
"id": 1060366855493128200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 20:19:19",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1060369282850095100,
"author_id": 1050307765098250200,
"author_name": "grenade",
"timestamp": "01/04/2023 20:28:57",
"content": "hey",
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{
"id": 1060369284993384400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 20:28:58",
"content": "Pinned a message.",
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"id": 1060369337405423600,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/04/2023 20:29:10",
"content": "hey",
"attachments": [],
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},
{
"id": 1060369386541682800,
"author_id": 1050307765098250200,
"author_name": "grenade",
"timestamp": "01/04/2023 20:29:22",
"content": "if we find the derivative of a constant its 0 right",
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},
{
"id": 1060369405193756800,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "01/04/2023 20:29:26",
"content": "yea",
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{
"id": 1060369424013602800,
"author_id": 1050307765098250200,
"author_name": "grenade",
"timestamp": "01/04/2023 20:29:31",
"content": "cool",
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"id": 1060369449649176600,
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"author_name": "grenade",
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"content": "",
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"id": 1060369465373626500,
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"author_name": "grenade",
"timestamp": "01/04/2023 20:29:41",
"content": "how do I do this",
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},
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"id": 1060369575016935600,
"author_id": 1050307765098250200,
"author_name": "grenade",
"timestamp": "01/04/2023 20:30:07",
"content": "been at it for a while lol",
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},
{
"id": 1060369583892070500,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "01/04/2023 20:30:09",
"content": "oh okay let me see",
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},
{
"id": 1060369749197992000,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "01/04/2023 20:30:48",
"content": "you can draw a line from O to A and let angle between a and b be thetea",
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},
{
"id": 1060369817414148100,
"author_id": 1050307765098250200,
"author_name": "grenade",
"timestamp": "01/04/2023 20:31:05",
"content": "ah right angle triangle?",
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},
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"id": 1060369847197904900,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "01/04/2023 20:31:12",
"content": "yea",
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{
"id": 1060369865736736900,
"author_id": 1050307765098250200,
"author_name": "grenade",
"timestamp": "01/04/2023 20:31:16",
"content": "what after?",
"attachments": [],
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},
{
"id": 1060370018308739100,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "01/04/2023 20:31:53",
"content": "after you get the triangle you can see that OA = OBcosthetea",
"attachments": [],
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},
{
"id": 1060370062172766300,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "01/04/2023 20:32:03",
"content": "is that ok?",
"attachments": [],
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},
{
"id": 1060370115062935600,
"author_id": 1050307765098250200,
"author_name": "grenade",
"timestamp": "01/04/2023 20:32:16",
"content": "ye",
"attachments": [],
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},
{
"id": 1060370128413392900,
"author_id": 1050307765098250200,
"author_name": "grenade",
"timestamp": "01/04/2023 20:32:19",
"content": "after?",
"attachments": [],
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},
{
"id": 1060370244704669700,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "01/04/2023 20:32:47",
"content": "since OB is b and OA is a we get a= bcos(thetea)",
"attachments": [],
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},
{
"id": 1060370262543052900,
"author_id": 1050307765098250200,
"author_name": "grenade",
"timestamp": "01/04/2023 20:32:51",
"content": "ye",
"attachments": [],
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"reference": null
},
{
"id": 1060370480198066300,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "01/04/2023 20:33:43",
"content": "since a • b = |a||b|costhetea",
"attachments": [],
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},
{
"id": 1060370569389936600,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "01/04/2023 20:34:04",
"content": "and we know |b|costhetea is |a|",
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},
{
"id": 1060370643792695400,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "01/04/2023 20:34:22",
"content": "we can substitute it and get a•b = |a|^2",
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{
"id": 1060370711266476000,
"author_id": 251189299981058050,
"author_name": "tea",
"timestamp": "01/04/2023 20:34:38",
"content": "and shown",
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"id": 1060370746498617300,
"author_id": 1050307765098250200,
"author_name": "grenade",
"timestamp": "01/04/2023 20:34:46",
"content": "nice thx",
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},
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"id": 1060370754165801000,
"author_id": 1050307765098250200,
"author_name": "grenade",
"timestamp": "01/04/2023 20:34:48",
"content": "cool",
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},
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"id": 1060370779914653800,
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"author_name": "grenade",
"timestamp": "01/04/2023 20:34:54",
"content": ".close",
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},
{
"id": 1060370782401859600,
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"timestamp": "01/04/2023 20:34:55",
"content": "Channel closed",
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}
] |
help-9
|
6cf2dc840c044f519bff4aa848bc0db3
|
200,532 |
[
{
"id": 1035230455773016000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 12:36:14",
"content": "Available help channel!",
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},
{
"id": 1035232112397275100,
"author_id": 776005089173307400,
"author_name": "ilikehorse",
"timestamp": "10/27/2022 12:42:49",
"content": "Guys what is ln 5 i forgor what that is",
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"timestamp": "10/27/2022 12:42:49",
"content": "Pinned a message.",
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"id": 1035232291494039600,
"author_id": 776005089173307400,
"author_name": "ilikehorse",
"timestamp": "10/27/2022 12:43:31",
"content": "Oh oops no spacing i think, ln5",
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"id": 1035232358992990200,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "10/27/2022 12:43:48",
"content": "ln is natural log",
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"id": 1035232388021756000,
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"author_name": "ilikehorse",
"timestamp": "10/27/2022 12:43:54",
"content": "Ah",
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"author_id": 776005089173307400,
"author_name": "ilikehorse",
"timestamp": "10/27/2022 12:44:10",
"content": "Is it log base 10?",
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"author_name": "ilikehorse",
"timestamp": "10/27/2022 12:44:15",
"content": "Or is that lg",
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"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "10/27/2022 12:44:18",
"content": "so it is asking e^x=5 and solves for x",
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"author_name": "ilikehorse",
"timestamp": "10/27/2022 12:44:33",
"content": "Ooooohhh now i get it",
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"author_name": "ilikehorse",
"timestamp": "10/27/2022 12:44:42",
"content": "Thxs a lot",
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"author_name": "ilikehorse",
"timestamp": "10/27/2022 12:45:03",
"content": "I can continue from there now 👍",
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"author_name": "ilikehorse",
"timestamp": "10/27/2022 12:50:33",
"content": "Ok did it to log base e (5) and i got 1.61",
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"timestamp": "10/27/2022 12:50:58",
"content": "I think its correct",
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"timestamp": "10/27/2022 13:05:58",
"content": "@ilikehorse Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
8d9e303bee324e98be64d92cfa17b96d
|
200,533 |
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/04/2023 20:57:10",
"content": "Available help channel!",
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"id": 1060378250464997400,
"author_id": 786028261464604800,
"author_name": "raj.",
"timestamp": "01/04/2023 21:04:35",
"content": "My answer is correct. I just want to know if my solution is correct. Since its distance/ speed to get time.\nWhat i did to solve this is: 42 divided by 36 which is 1.166666667. Then Since i know that the 1. here is 1 hour. I multiplied the 0.166666667 by 60 then i got 10.00000002 which i then rounded it off to 10 minutes. therefor, i got the answer of 1 hour and 10 minutes. This answer was verified by the problem maker. I just want to know if there is an easier and less complicated way i could have done this?",
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"content": "Pinned a message.",
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"author_id": 1060025964496695300,
"author_name": "φ(p)",
"timestamp": "01/04/2023 21:09:14",
"content": "yeah it's right, and you can also use fraction: \n$\\frac{42}{36}=\\frac{7}{6}=1+frac{1}{6}$\nwhere $\\frac{1}{6}hr=\\frac{1}{6}*60mins=10mins$",
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"author_name": "TeXit",
"timestamp": "01/04/2023 21:09:16",
"content": "**φ(p)**",
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"timestamp": "01/04/2023 21:10:01",
"content": "sry it's $\\frac{1}{6}$",
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"timestamp": "01/04/2023 21:10:03",
"content": "**φ(p)**",
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"timestamp": "01/04/2023 21:11:25",
"content": "ah okay ty",
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"timestamp": "01/04/2023 21:26:26",
"content": "@raj. Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
be8804042110429294a0ca7d406f6dcc
|
200,534 |
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"author_id": 942843959783333900,
"author_name": "Mehdi_Moulati",
"timestamp": "01/04/2023 21:41:50",
"content": ",w 42/36 hours",
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"content": "Results provided by WolframAlpha",
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"timestamp": "01/04/2023 22:33:29",
"content": "Available help channel!",
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},
{
"id": 1060401414838419500,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/04/2023 22:36:38",
"content": "If $f: [0, \\infty] \\to \\bR$ is monotonic and $\\int_{0}^{\\infty} f(x)\\dd{x}$ converges. Show that the $\\lim_{x \\to \\infty} xf(x) = 0$",
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"timestamp": "01/04/2023 22:36:39",
"content": "Pinned a message.",
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"author_name": "♡A(lex)♡",
"timestamp": "01/04/2023 22:37:39",
"content": "Alright so for the proof of this, I decided to try out a contrapositive proof as it seemed the most plausible",
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"author_name": "♡A(lex)♡",
"timestamp": "01/04/2023 22:38:43",
"content": "Suppose there exists a $\\epsilon > 0$ such that $x f(x) > \\epsilon$.",
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"author_name": "♡A(lex)♡",
"timestamp": "01/04/2023 22:39:27",
"content": "but i am unsure of how to proceed",
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"timestamp": "01/04/2023 22:40:41",
"content": "oh i am assuming that it is monotonic decreasing, as i dont think the integral would converge if it was increasing :thonkzoom:",
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"timestamp": "01/04/2023 22:42:08",
"content": "**♡LexQa♡**",
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"content": "**♡LexQa♡**",
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"author_name": "電波的な彼女",
"timestamp": "01/04/2023 22:44:32",
"content": ":thonkeyes:",
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"author_name": "Bungo",
"timestamp": "01/04/2023 22:44:39",
"content": "could be monotonic increasing if it starts negative and converges to 0 from below",
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"timestamp": "01/04/2023 22:45:11",
"content": "but then you could just consider -f",
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"author_name": "♡A(lex)♡",
"timestamp": "01/04/2023 22:45:17",
"content": "yeah but it is not in our defined domain",
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"timestamp": "01/04/2023 22:45:19",
"content": "so wlog you can assume it's decreasing i think",
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"timestamp": "01/04/2023 22:45:26",
"content": "the codomain is all of R",
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"timestamp": "01/04/2023 22:45:33",
"content": "so the function values can be positive or negative",
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"author_name": "♡A(lex)♡",
"timestamp": "01/04/2023 22:45:38",
"content": "ah wait",
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"author_name": "♡A(lex)♡",
"timestamp": "01/04/2023 22:45:41",
"content": "i get what u mean now",
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"timestamp": "01/04/2023 22:45:41",
"content": "hmm",
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"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "01/04/2023 22:49:57",
"content": "possible start of argument: if f is decreasing, then $$\\int_0^x f(u)\\ du \\geq \\int_0^x f(x)\\ du$$",
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"timestamp": "01/04/2023 22:50:36",
"content": "**Bungo**",
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"timestamp": "01/04/2023 22:51:09",
"content": "(this is because u <= x implies f(u) >= f(x) )",
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"timestamp": "01/04/2023 22:51:26",
"content": "yeah i see",
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"timestamp": "01/04/2023 22:51:39",
"content": "hmm",
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"timestamp": "01/04/2023 22:51:42",
"content": "now what does that integral on the RHS equal",
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"timestamp": "01/04/2023 22:52:16",
"content": ":thonk:",
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"timestamp": "01/04/2023 23:07:16",
"content": "@♡A(lex)♡ Has your question been resolved?",
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"timestamp": "01/04/2023 23:37:48",
"content": "@♡A(lex)♡ Has your question been resolved?",
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"timestamp": "01/04/2023 23:55:11",
"content": "i havent really figured it out i wont lie",
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"id": 1060433032307282000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/05/2023 00:42:16",
"content": "$x f(x) \\leq 2 \\int_{x/2}^x f(t) dt$",
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"timestamp": "01/05/2023 00:42:31",
"content": "**riemann**",
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"timestamp": "01/05/2023 00:44:22",
"content": "The right side goes to zero as x goes to infinity",
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"timestamp": "01/05/2023 00:46:25",
"content": "wait but why",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 00:46:26",
"content": "and how",
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"id": 1060436691317424300,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "01/05/2023 00:56:49",
"content": "$\\forall t \\in [x/2,x] f(x) \\leq f(t) \\leq f(x/2)$ (if f is positive and decreasing)",
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"id": 1060436701534765200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/05/2023 00:56:51",
"content": "**Benjamin**",
"attachments": [
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"id": 1060437143647952900,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "01/05/2023 00:58:37",
"content": "so $\\int_{x/2}^x f(x) dt \\leq \\int_{x/2}^x f(t) dt$",
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},
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"id": 1060437185477742600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/05/2023 00:58:46",
"content": "**Benjamin**",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1060437185414832219/166861640178991105.png",
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"id": 1060437223813681300,
"author_id": 166861640178991100,
"author_name": "Benjamin",
"timestamp": "01/05/2023 00:58:56",
"content": "and then this",
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"id": 1060437381909598200,
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"author_name": "Benjamin",
"timestamp": "01/05/2023 00:59:33",
"content": "but i think your first try of proof by contradiction woulld work aswell",
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{
"id": 1060437480291192800,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 00:59:57",
"content": "yeah okay i rationalised this now i think",
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"id": 1060437500247675000,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 01:00:02",
"content": "thanks riemann and benjamin",
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},
{
"id": 1060437505436033000,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 01:00:03",
"content": ".close",
"attachments": [],
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},
{
"id": 1060437508799873200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 01:00:04",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
d0cd9972def24bc0b371f2120c27b965
|
200,535 |
[
{
"id": 1060437760701374500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 01:01:04",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1060440285835968600,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:11:06",
"content": "hi i need help with this problem",
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"author_id": 805217272087838700,
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"timestamp": "01/05/2023 01:11:06",
"content": "Pinned a message.",
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"id": 1060440837793775600,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:13:17",
"content": "hello there!",
"attachments": [],
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},
{
"id": 1060440918215364600,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:13:36",
"content": "first of all, it should be within [0,2π]",
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},
{
"id": 1060440987740160000,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:13:53",
"content": "secondly the answer should be in interval notation",
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},
{
"id": 1060441238098161800,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:14:53",
"content": "i put it in like",
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},
{
"id": 1060441297049108500,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:15:07",
"content": "[-7pi/6 , pi/6] and the answer was still wrong",
"attachments": [],
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},
{
"id": 1060441371145666700,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:15:24",
"content": "maybe its because im supposed to be looking at only within the [0,2pi]?",
"attachments": [],
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"reference": null
},
{
"id": 1060441382344458200,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:15:27",
"content": "because its not within [0,2π]",
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},
{
"id": 1060441411947868300,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:15:34",
"content": "so then i only get pi/6",
"attachments": [],
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},
{
"id": 1060441484500926600,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:15:51",
"content": "im not sure if theres another answer?",
"attachments": [],
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},
{
"id": 1060441527266062300,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:16:02",
"content": "there is",
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},
{
"id": 1060441567334256800,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:16:11",
"content": "lemme draw something real quick",
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},
{
"id": 1060441588419023000,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:16:16",
"content": "thank you so much",
"attachments": [],
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},
{
"id": 1060441890492780500,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:17:28",
"content": "",
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"id": 1060442023787765800,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:18:00",
"content": "ohh",
"attachments": [],
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"reference": null
},
{
"id": 1060442112862212100,
"author_id": 565451471571910660,
"author_name": "a soupling",
"timestamp": "01/05/2023 01:18:21",
"content": "Say you’re staring a space of absolute nothing. Time is meaningless, for nothing can be changed. Now, spawn in time. The definition of time is the measurement of change. Now with time, this point you’re staring at in space shall move. Let’s assume it moves in a spiral of infinite density but gets larger with every revolution. What you will have is a 1D point, made from 0D through movement. Now, rotate this instance quickly, this infinitely small instance, and when seen through a 3D perspective you’ll notice a filled in circle will have been formed from this infinitely small point. 1D has created 2D. Now, draw a line through the circle and spin (which is rotate from a 4D perspective) it around a keep every circle created in every infinitely short instance of time. You will create a sphere. The pattern should continue. Hence, by induction, time is a dimension. true?",
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"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:18:25",
"content": "since sine function has a period of 2π, you can always find another answer by adding 2nπ for some n",
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},
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"id": 1060442161256091800,
"author_id": 565451471571910660,
"author_name": "a soupling",
"timestamp": "01/05/2023 01:18:33",
"content": "is this a proof that time is a dimension",
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},
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"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:19:43",
"content": "i get that, but wouldnt that mean that if i added 2pi to pi/6, it would extend past the boundary of 2pi?",
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"id": 1060442685401469000,
"author_id": 310599340961955840,
"author_name": "ed",
"timestamp": "01/05/2023 01:20:38",
"content": "#❓how-to-get-help",
"attachments": [],
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"id": 1060442690258477000,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:20:39",
"content": "or 2npi",
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},
{
"id": 1060442696776429600,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:20:40",
"content": "well, since pi/6 is within the range, we can just consider -7pi/6\nbut becareful with the range",
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},
{
"id": 1060442730871922800,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:20:49",
"content": "oh",
"attachments": [],
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},
{
"id": 1060442855048478700,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:21:18",
"content": "wait, so i can add 2npi to -7pi/6 enough so that it falls within [0,2pi]?",
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},
{
"id": 1060442942243885000,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:21:39",
"content": "true, but the range will not be as easy",
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},
{
"id": 1060443555564363800,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:24:05",
"content": "ok, so i added 2pi to -7pi/6 and then i got 9pi/6 or 3pi/2?",
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},
{
"id": 1060443614959906800,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:24:19",
"content": "that should be within 0, 2pi",
"attachments": [],
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},
{
"id": 1060443699529662600,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:24:40",
"content": "so then can i write the answer as [3pi/2, pi/6]?",
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},
{
"id": 1060443871110250500,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:25:20",
"content": "first thing\n2pi + (-7pi/6) is not 3pi/2",
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},
{
"id": 1060443960419569700,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:25:42",
"content": "and the range is not that easy",
"attachments": [],
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},
{
"id": 1060443969881903100,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:25:44",
"content": "oh whoops, 5pi/6",
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},
{
"id": 1060443978903855100,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:25:46",
"content": "ah",
"attachments": [],
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},
{
"id": 1060444026903478400,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:25:58",
"content": "so then what do i do with the 2npi?",
"attachments": [],
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},
{
"id": 1060444065130348500,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:26:07",
"content": "or what do i do with -7pi/6?",
"attachments": [],
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},
{
"id": 1060444196470796300,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:26:38",
"content": "since the question only require you to answer in specific range, we dont have to use 2npi",
"attachments": [],
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},
{
"id": 1060444276259037300,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:26:57",
"content": "lemme draw on my previous screenshot",
"attachments": [],
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"reference": null
},
{
"id": 1060444620925968500,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:28:19",
"content": "",
"attachments": [
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"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:28:45",
"content": "as you can see, the range flipped",
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},
{
"id": 1060444954327011300,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:29:39",
"content": "so, do you have some idea on the answer now?",
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},
{
"id": 1060445093443678200,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:30:12",
"content": "i still dont get it.. im confused about the range?",
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},
{
"id": 1060445326227546200,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:31:07",
"content": "ok, since we have to find 5sin(x) smaller or equal to 5/2",
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},
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"id": 1060445542703964200,
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"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:31:59",
"content": "from the graph, we can see that the range in red is what we have to find, where\nblue line (represents 5sin(x))\nis below\n green line (represents 5/2)",
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},
{
"id": 1060445568733806600,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:32:05",
"content": "ohhh",
"attachments": [],
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},
{
"id": 1060445594314874900,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:32:11",
"content": "yes i get that part",
"attachments": [],
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},
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"id": 1060445722148864000,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:32:42",
"content": "that's why the answer will be composed of 2 ranges",
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},
{
"id": 1060445753849421800,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:32:49",
"content": "ahhh",
"attachments": [],
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},
{
"id": 1060445847151722500,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:33:12",
"content": "got it?",
"attachments": [],
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},
{
"id": 1060446100974227500,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:34:12",
"content": "i get that one of the answers is the [0,pi/6] but im still confused on how i get to the second range",
"attachments": [],
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},
{
"id": 1060446203948572800,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:34:37",
"content": "good question, we just did 2pi -7pi/6 right?",
"attachments": [],
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},
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"id": 1060446274899427300,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:34:54",
"content": "that will be the starting point of the second interval",
"attachments": [],
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},
{
"id": 1060446514050236500,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:35:51",
"content": "oh so then",
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},
{
"id": 1060446575232561200,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:36:05",
"content": "[5pi/6, 2pi]..?",
"attachments": [],
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},
{
"id": 1060446650126041100,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:36:23",
"content": "yep, that's the second interval",
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},
{
"id": 1060446664218910700,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:36:26",
"content": "ahh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060446671340830700,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:36:28",
"content": "i see",
"attachments": [],
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"reference": null
},
{
"id": 1060446699052609500,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:36:35",
"content": "thank you so much for the explanation",
"attachments": [],
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"reference": null
},
{
"id": 1060446739573788700,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 01:36:44",
"content": "cheers!",
"attachments": [],
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},
{
"id": 1060450474811211800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 01:51:35",
"content": "@ian na Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 01:51:54",
"content": "Channel closed",
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] |
help-9
|
723b94525e194bd389f89ffe3c7f899d
|
200,536 |
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{
"id": 1060450812423307400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 01:52:55",
"content": "Available help channel!",
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},
{
"id": 1060452510139174900,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 01:59:40",
"content": "i have another question?",
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"timestamp": "01/05/2023 01:59:41",
"content": "Pinned a message.",
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"id": 1060452900926660700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/05/2023 02:01:13",
"content": "how did you get this answer?",
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"id": 1060453096800653400,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 02:02:00",
"content": "so i divided 3 from both sides",
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"id": 1060453150122836000,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 02:02:13",
"content": "and then divided cosx on both sides",
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"id": 1060453187057885200,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 02:02:22",
"content": "and then with tanx>1",
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"id": 1060453212680884200,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 02:02:28",
"content": "i just found where tan x would be 1",
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"id": 1060453248311496700,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 02:02:36",
"content": "so that was pi/4 and 5pi/4",
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"id": 1060453328489816200,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 02:02:55",
"content": "then i put the two equations: 3sinx and 3cosx and plugged it into desmos",
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"id": 1060453413743247400,
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"author_name": "ian na",
"timestamp": "01/05/2023 02:03:16",
"content": "and then i found where within the period that 3sinx would be above the equation of 3cosx",
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"author_name": "ian na",
"timestamp": "01/05/2023 02:03:30",
"content": "and found that the points would have been between pi/4 to 5pi/4",
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"id": 1060453688788922400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/05/2023 02:04:21",
"content": "ah, that's where you screwed up.",
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"id": 1060453722435633200,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 02:04:29",
"content": "ohh",
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"id": 1060453733147881500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/05/2023 02:04:32",
"content": "you cannot divide both sides of an inequality by something of unknown of variable sign.",
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"id": 1060453914551533600,
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"author_name": "ian na",
"timestamp": "01/05/2023 02:05:15",
"content": "ohh",
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"id": 1060454046927945700,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 02:05:47",
"content": "by variable sign what do you mean?",
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"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 02:05:59",
"content": "i understand that i should have moved it over via addition byt",
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"author_name": "Ann",
"timestamp": "01/05/2023 02:06:05",
"content": "i mean that cos(x) is positive for some values of x and negative for others.",
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"timestamp": "01/05/2023 02:06:14",
"content": "when you divide both sides by a negative number, the sign flips",
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"id": 1060454185939763300,
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"timestamp": "01/05/2023 02:06:20",
"content": "but when you divide by a positive number, it doesn't",
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"id": 1060454203706839000,
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"timestamp": "01/05/2023 02:06:24",
"content": "(same goes for multiplication, obviously)",
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"id": 1060454650421194800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/05/2023 02:08:10",
"content": "there is also no such thing as \"moving\" things \"over\". what you meant is that you wanted to _subtract cos(x) from both sides_, which is perfectly fine.",
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"id": 1060454822937116700,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 02:08:52",
"content": "oh",
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"id": 1060455230724132900,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 02:10:29",
"content": "this might sound really dumb, but because we dont know what x is (or whether it can flip the sign or not, we cant divide it?",
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"timestamp": "01/05/2023 02:12:17",
"content": "you can divide it, but you'd have to pay attention to the direction of the inequality",
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"timestamp": "01/05/2023 02:13:23",
"content": "wait actually, your answer is right",
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"timestamp": "01/05/2023 02:13:38",
"content": "oh no wait i see where you went wrong @ian na",
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"timestamp": "01/05/2023 02:13:43",
"content": "you did brackets instead of parentheses",
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"timestamp": "01/05/2023 02:13:57",
"content": "the inequality sign is a *strict* inequality",
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"timestamp": "01/05/2023 02:14:04",
"content": "so u can't have x be equal to pi/4",
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"timestamp": "01/05/2023 02:15:06",
"content": "ah okay",
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"id": 1060456462477967400,
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"author_name": "ian na",
"timestamp": "01/05/2023 02:15:22",
"content": "i changed it to parantheses and i got the answer correct, thank you for pointing that out",
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"id": 1060456487375347700,
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"timestamp": "01/05/2023 02:15:28",
"content": "ye nw",
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"id": 1060456538696859600,
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"author_name": "ian na",
"timestamp": "01/05/2023 02:15:41",
"content": "but im still a little confused about what the other person said beforehand",
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"timestamp": "01/05/2023 02:15:55",
"content": "ah okay",
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"id": 1060456632414376000,
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"author_name": "ian na",
"timestamp": "01/05/2023 02:16:03",
"content": "where im not allowed to divide the cosx from both sides? because thats essentially what i did and i still have the correct answer?",
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"timestamp": "01/05/2023 02:16:21",
"content": "take this example",
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"author_name": "ian na",
"timestamp": "01/05/2023 02:16:28",
"content": "but when i double check the answer on symbolab, the solution tells me to subtract the cosx from both sides",
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"timestamp": "01/05/2023 02:16:28",
"content": "$$x^2 = x$$",
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"timestamp": "01/05/2023 02:16:30",
"content": "**blanket**",
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"timestamp": "01/05/2023 02:16:57",
"content": "@ian na what is your first step",
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"timestamp": "01/05/2023 02:17:00",
"content": "to solving this equation",
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"timestamp": "01/05/2023 02:17:01",
"content": "?",
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"timestamp": "01/05/2023 02:17:05",
"content": "the x^2 = x one",
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"id": 1060456958664130700,
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"author_name": "ian na",
"timestamp": "01/05/2023 02:17:21",
"content": "i would subtract x from both sides and then factor the left hand side",
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"timestamp": "01/05/2023 02:17:24",
"content": "exactly",
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"author_name": "ian na",
"timestamp": "01/05/2023 02:17:28",
"content": "but now im confused, why cant i divide the x?",
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"id": 1060457010656723100,
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"timestamp": "01/05/2023 02:17:33",
"content": "because x can be 0",
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"timestamp": "01/05/2023 02:17:37",
"content": "you don't divide by 0",
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"id": 1060457048631935000,
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"timestamp": "01/05/2023 02:17:42",
"content": "ohh",
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"timestamp": "01/05/2023 02:17:48",
"content": "when you subtract on both sides, you end up getting that 0 *is* a solution",
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"timestamp": "01/05/2023 02:18:05",
"content": "now when you put inequalities, you also have to take into account whether if the variable you're dividing by is a negative",
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"author_name": "blanket",
"timestamp": "01/05/2023 02:18:13",
"content": "because you'd then have to switch the inequalities in those cases",
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"timestamp": "01/05/2023 02:18:38",
"content": "adding/subtracting preserves inequality directions and you don't have to worry about switching",
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"id": 1060457323191083100,
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"timestamp": "01/05/2023 02:18:48",
"content": "mm",
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"timestamp": "01/05/2023 02:18:49",
"content": "when you subtract cos, you end up with",
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"id": 1060457328501076000,
"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 02:18:49",
"content": "okok",
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"id": 1060457372910358500,
"author_id": 178624944505094140,
"author_name": "blanket",
"timestamp": "01/05/2023 02:19:00",
"content": "$$\\sin x - \\cos x > 0$$",
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"timestamp": "01/05/2023 02:19:02",
"content": "**blanket**",
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"timestamp": "01/05/2023 02:19:06",
"content": "then you can factor out a cos x",
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"timestamp": "01/05/2023 02:19:22",
"content": "$$\\cos x(\\tan x - 1) > 0 $$",
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"timestamp": "01/05/2023 02:19:30",
"content": "mm alright",
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"author_name": "ian na",
"timestamp": "01/05/2023 02:19:34",
"content": "ok that makes a lot of sense",
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"timestamp": "01/05/2023 02:19:35",
"content": "**blanket**",
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"id": 1060457542884540400,
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"author_name": "ian na",
"timestamp": "01/05/2023 02:19:40",
"content": "thank you",
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"id": 1060457548970479700,
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"author_name": "blanket",
"timestamp": "01/05/2023 02:19:42",
"content": "alright cool",
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"id": 1060457559594639400,
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"timestamp": "01/05/2023 02:19:44",
"content": "np",
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"author_name": "blanket",
"timestamp": "01/05/2023 02:19:46",
"content": "glad i could help",
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"author_id": 719692296068792300,
"author_name": "ian na",
"timestamp": "01/05/2023 02:19:59",
"content": "close",
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"author_name": "ian na",
"timestamp": "01/05/2023 02:20:02",
"content": "oops",
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"id": 1060457750674542700,
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"author_name": "ian na",
"timestamp": "01/05/2023 02:20:30",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 02:20:30",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
b0526b728e1f41deb4a26a126760cfe4
|
200,537 |
[
{
"id": 1060458005533036500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 02:21:30",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060465603518935000,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 02:51:42",
"content": "May I ask questions?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060465606702403600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 02:51:43",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1060465603518935000,
"channelId": 486844875632017400,
"guildId": null
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{
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"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/05/2023 02:52:06",
"content": "yes",
"attachments": [],
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},
{
"id": 1060465745655517200,
"author_id": 811501664367673300,
"author_name": "SilverSoldier",
"timestamp": "01/05/2023 02:52:16",
"content": ":JustAsk:",
"attachments": [],
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"reference": null
},
{
"id": 1060465750130835500,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 02:52:17",
"content": "How to solve an equation like ax^3+bx^2+cx+d=e?",
"attachments": [],
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},
{
"id": 1060465765985308700,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/05/2023 02:52:21",
"content": ":JustAsk:",
"attachments": [],
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"reference": null
},
{
"id": 1060465809786413000,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/05/2023 02:52:31",
"content": "oop too late",
"attachments": [],
"mentions": [],
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},
{
"id": 1060465840434204700,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 02:52:38",
"content": "(I'm a little afraid",
"attachments": [],
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},
{
"id": 1060465945916756000,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/05/2023 02:53:04",
"content": "for cubic equations, there is a cubic formula, but its complicated so nobody likes to use it",
"attachments": [],
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},
{
"id": 1060465983573217400,
"author_id": 1032444535336358000,
"author_name": "$Vanilla's Social$",
"timestamp": "01/05/2023 02:53:12",
"content": "Cubics, are indeed interesting field of study\nAre u in university or something ? It's a very advanced topic",
"attachments": [],
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/05/2023 02:53:32",
"content": "there are certain tricks like factoring by grouping or rational root theorem, but otherwise you just use a calculator",
"attachments": [],
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},
{
"id": 1060466221465735300,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 02:54:09",
"content": "emmmm...no,I just want to know about it ....I've just learnt quadratic equation,so I want to know more...",
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"author_name": "$Vanilla's Social$",
"timestamp": "01/05/2023 02:54:39",
"content": "However, there are some simpler tricks like\nax³+bx²+cx+d = 0 \nx(ax²+bx+c)+d and then solving the inner quadratic equation first and then solving it further",
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},
{
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"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/05/2023 02:54:58",
"content": "there is a formula.. but it is very complicated",
"attachments": [],
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"author_name": "$Vanilla's Social$",
"timestamp": "01/05/2023 02:55:48",
"content": "Oh, well cubics are an interesting field of study, it's the way we came across and discovered complex numbers as well, actual math behind is genuinely really complicated but since u r interested in quadratics, cubics ij general, I can recommend u few sets of videos or articles ig ?",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/05/2023 02:55:52",
"content": "this is a thing?",
"attachments": [],
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},
{
"id": 1060466845058084900,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/05/2023 02:56:38",
"content": "in school they just ask those questions whose first root you can just guess.. usually 1,-1,2,-2..and then you can divide to make it quadratic",
"attachments": [],
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},
{
"id": 1060466863387189400,
"author_id": 1032444535336358000,
"author_name": "$Vanilla's Social$",
"timestamp": "01/05/2023 02:56:42",
"content": "Sometimes, yea, barely work tho, for that quadratic u get 2 values of x (assuming positive discriminant) answers and then u substitute each of those two in the equation and solve it further",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/05/2023 02:57:32",
"content": "yeah usually the answer is like 1, 0, or -1",
"attachments": [],
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},
{
"id": 1060467107147554800,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/05/2023 02:57:40",
"content": "or you can factor by grouping",
"attachments": [],
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},
{
"id": 1060467165205123100,
"author_id": 1032444535336358000,
"author_name": "$Vanilla's Social$",
"timestamp": "01/05/2023 02:57:54",
"content": "Even, it is this idea is the reason why u will see complex numbers popping up in cubic and quadratic equations",
"attachments": [],
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},
{
"id": 1060467273258778600,
"author_id": 569167697925898240,
"author_name": "Camilleone",
"timestamp": "01/05/2023 02:58:20",
"content": "If you want to see the midway complicated stuff you can look up Cardano's formula and how to even get to the needed form",
"attachments": [],
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},
{
"id": 1060467328594227200,
"author_id": 569167697925898240,
"author_name": "Camilleone",
"timestamp": "01/05/2023 02:58:33",
"content": "And then you will see why no one uses it",
"attachments": [],
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},
{
"id": 1060467542583414800,
"author_id": 1032444535336358000,
"author_name": "$Vanilla's Social$",
"timestamp": "01/05/2023 02:59:24",
"content": "This is Cardano's formula",
"attachments": [
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"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 02:59:31",
"content": "what??????????",
"attachments": [],
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},
{
"id": 1060467677367369700,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "01/05/2023 02:59:56",
"content": "I'd say it's not that complicated, you just need to turn the normal cubic into a depressed cubic first",
"attachments": [],
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},
{
"id": 1060467716672196600,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "01/05/2023 03:00:06",
"content": "Then it's easy to solve",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060467874684211200,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "01/05/2023 03:00:43",
"content": "Look here - https://www.youtube.com/watch?v=N-KXStupwsc",
"attachments": [],
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"reference": null
},
{
"id": 1060467876009607300,
"author_id": 1032444535336358000,
"author_name": "$Vanilla's Social$",
"timestamp": "01/05/2023 03:00:44",
"content": "Can u turn any cubic into depressed cubic tho ? I think u won't be able to do that for all cubics but for some it might work",
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"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "01/05/2023 03:01:05",
"content": "Yes, you can turn any cubic into a depressed cubic",
"attachments": [],
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},
{
"id": 1060467980305170400,
"author_id": 1032444535336358000,
"author_name": "$Vanilla's Social$",
"timestamp": "01/05/2023 03:01:09",
"content": "Then we are just left with the method created the stutterer ?",
"attachments": [],
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},
{
"id": 1060468024240517100,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 03:01:19",
"content": "wait,I understand what u mean(to guess the root,sometimes)",
"attachments": [],
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},
{
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"author_id": 1032444535336358000,
"author_name": "$Vanilla's Social$",
"timestamp": "01/05/2023 03:01:19",
"content": "Oh! That's nice ^°^",
"attachments": [],
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"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 03:02:27",
"content": "if I can turn the ax^3+bx^2+cx+d into (x-?)(ex^2+fx+g),I can get x=?,and then solve the quadratic equation",
"attachments": [],
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},
{
"id": 1060468328033960000,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 03:02:31",
"content": "do you mean like this?",
"attachments": [],
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},
{
"id": 1060468355217240200,
"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/05/2023 03:02:38",
"content": "yes",
"attachments": [],
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},
{
"id": 1060468362049765400,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "01/05/2023 03:02:40",
"content": "For HS level stuff, generally you are expected to guess the roots, usual guesses are 1, -1, 2, -2 rarely 3, -3\nAnything beyond needs either special tricks or the cardano's formula",
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},
{
"id": 1060468530690129900,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 03:03:20",
"content": "I'm not going to remember that formula...It's toooooooo long",
"attachments": [],
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},
{
"id": 1060468548331385000,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/05/2023 03:03:24",
"content": "rational root theorem D:",
"attachments": [],
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},
{
"id": 1060468551888150500,
"author_id": 362794394887127040,
"author_name": "numbpy",
"timestamp": "01/05/2023 03:03:25",
"content": "For a general cubic polynomial, this is the only way",
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},
{
"id": 1060468589360054300,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 03:03:34",
"content": "okie",
"attachments": [],
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},
{
"id": 1060468597610254300,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "01/05/2023 03:03:36",
"content": "the guesses are usually the ones from rational root theorem",
"attachments": [],
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},
{
"id": 1060468684092612700,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "01/05/2023 03:03:56",
"content": "if there aren't any rational roots in a cubic it's hard to solve",
"attachments": [],
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},
{
"id": 1060468684860166100,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/05/2023 03:03:57",
"content": "if there is no rational root, they are basically impossible to solve",
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},
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"author_id": 761095788960284700,
"author_name": "fantastic mr. fox",
"timestamp": "01/05/2023 03:04:03",
"content": "no one does .and trust me u don't have to use it ever",
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"timestamp": "01/05/2023 03:04:10",
"content": "That is assuming that you need only integral roots",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/05/2023 03:04:15",
"content": "at that point, they will give you a graphing calc",
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},
{
"id": 1060468770663039000,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "01/05/2023 03:04:17",
"content": "i wouldn't say basically impossible",
"attachments": [],
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},
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"id": 1060468788375605200,
"author_id": 1032444535336358000,
"author_name": "$Vanilla's Social$",
"timestamp": "01/05/2023 03:04:21",
"content": "Now I wanna do it",
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"timestamp": "01/05/2023 03:04:36",
"content": "I haven't used that, but I will try to now",
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},
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"id": 1060468900510318600,
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"author_name": "numbpy",
"timestamp": "01/05/2023 03:04:48",
"content": "Not impossible, there's the cubic formula but that will be torture for HS students",
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"id": 1060468953585033200,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 03:05:01",
"content": "emmmm",
"attachments": [],
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},
{
"id": 1060468976007782400,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/05/2023 03:05:06",
"content": "even in competition math, they wont do that",
"attachments": [],
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},
{
"id": 1060468997696520200,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 03:05:11",
"content": "So much for this...",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060469108908499100,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "01/05/2023 03:05:38",
"content": "wolframalpha always works",
"attachments": [],
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"reference": null
},
{
"id": 1060469111416692900,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "01/05/2023 03:05:38",
"content": "youd be surprised, but there is no formula for quintics, the polynomials that go up to x^5",
"attachments": [],
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},
{
"id": 1060469221676552200,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 03:06:05",
"content": "Ok,I'm going to leave.I'm sure that others are waiting to use this channel.Thanks for your help,Thanks for all of u",
"attachments": [],
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"reference": null
},
{
"id": 1060469230077759500,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 03:06:07",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060469232967622700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 03:06:07",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
c2293b0e50654aa8a0288933654c29f5
|
200,538 |
[
{
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"author_id": 1032444535336358000,
"author_name": "$Vanilla's Social$",
"timestamp": "01/05/2023 03:06:07",
"content": "Just escalated quickly when ur degree went from 2 to 3 right ? It happens :ded:",
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"author_id": 569167697925898240,
"author_name": "Camilleone",
"timestamp": "01/05/2023 03:06:56",
"content": "",
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{
"id": 1060469484953018400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 03:07:07",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060469487196979300,
"author_id": 569167697925898240,
"author_name": "Camilleone",
"timestamp": "01/05/2023 03:07:08",
"content": "4 is worse and 5 is",
"attachments": [],
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},
{
"id": 1060469491747795000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 03:07:09",
"content": "Pinned a message.",
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"channelId": 486844875632017400,
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"timestamp": "01/05/2023 03:07:16",
"content": "prime",
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"id": 1060469589680607200,
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"timestamp": "01/05/2023 03:07:32",
"content": "Lol oops",
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"id": 1060469599071645700,
"author_id": 569167697925898240,
"author_name": "Camilleone",
"timestamp": "01/05/2023 03:07:34",
"content": ".close",
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"id": 1060469602708103200,
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"timestamp": "01/05/2023 03:07:35",
"content": "Channel closed",
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}
] |
help-9
|
63a08732f9b042c5b0e42375d164f747
|
200,539 |
[
{
"id": 1060472016580390900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 03:17:11",
"content": "Available help channel!",
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"id": 1060477081621905500,
"author_id": 1053834086638170100,
"author_name": "Ves",
"timestamp": "01/05/2023 03:37:18",
"content": "What is the foil thing for polynomials and trinomisls?",
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"id": 1060477248207065100,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/05/2023 03:37:58",
"content": "https://en.wikipedia.org/wiki/FOIL_method",
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"id": 1060477271355433100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/05/2023 03:38:04",
"content": "do you mean \"what is this FOIL thing that everyone's talking about but i haven't heard of?\" or \"i know the FOIL mnemonic, but how does it apply to polynomials and trinomials?\"",
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"id": 1060477308785393700,
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"timestamp": "01/05/2023 03:38:13",
"content": "Yes",
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"id": 1060477378159190000,
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"author_name": "Ann",
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"content": ":sully:",
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"id": 1060477415081660400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/05/2023 03:38:38",
"content": "you do NOT answer \"yes\" to a \"did you mean this or did you mean that\" question",
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"id": 1060477421616369700,
"author_id": 183668144404037630,
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"timestamp": "01/05/2023 03:38:40",
"content": "which one is it?",
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"id": 1060477501723381800,
"author_id": 1053834086638170100,
"author_name": "Ves",
"timestamp": "01/05/2023 03:38:59",
"content": "oh",
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"id": 1060477672007946200,
"author_id": 1053834086638170100,
"author_name": "Ves",
"timestamp": "01/05/2023 03:39:39",
"content": "how do I use the foil to apply to the bi and trinomisls",
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"id": 1060477766291685400,
"author_id": 183668144404037630,
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"timestamp": "01/05/2023 03:40:02",
"content": "you don't.",
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"id": 1060477831844479000,
"author_id": 183668144404037630,
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"timestamp": "01/05/2023 03:40:17",
"content": "you apply the distributive law.",
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"id": 1060478180097540100,
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"author_name": "Ann",
"timestamp": "01/05/2023 03:41:40",
"content": "FOIL is applicable only in limited circumstances",
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"id": 1060478241577635800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/05/2023 03:41:55",
"content": "namely, those when you are multiplying together two parentheses each of which contains precisely 2 terms.",
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"id": 1060478453327089700,
"author_id": 1053834086638170100,
"author_name": "Ves",
"timestamp": "01/05/2023 03:42:46",
"content": "https://images-ext-2.discordapp.net/external/4u8uJBhg3pOgmA0BJIsZjAxDf31bMUrML9qq19dLLyg/https/upload.wikimedia.org/wikipedia/commons/0/0c/MonkeyFaceFOILRule.JPG",
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"id": 1060478476836151400,
"author_id": 1053834086638170100,
"author_name": "Ves",
"timestamp": "01/05/2023 03:42:51",
"content": "Like this?",
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},
{
"id": 1060478614522581000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/05/2023 03:43:24",
"content": "yes, that's the kind of situation you _could_ apply the FOIL mnemonic in.",
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},
{
"id": 1060478655429615600,
"author_id": 1053834086638170100,
"author_name": "Ves",
"timestamp": "01/05/2023 03:43:34",
"content": "oh ok",
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},
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"id": 1060478693891387400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/05/2023 03:43:43",
"content": "really though, it's just the distributive law.",
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},
{
"id": 1060478742083940400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "01/05/2023 03:43:54",
"content": "if you understand the distributive law, then you do not need any such mnemonics, and are able to do much more.",
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"id": 1060478824090980500,
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"timestamp": "01/05/2023 03:44:14",
"content": "(a+b)(c+d+e) is not hard to expand by applying the distributive law several times.",
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"id": 1060478930118791300,
"author_id": 1053834086638170100,
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"timestamp": "01/05/2023 03:44:39",
"content": "😰",
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"id": 1060478959608926200,
"author_id": 1053834086638170100,
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"content": "ok",
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"id": 1060478980974710800,
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"timestamp": "01/05/2023 03:44:51",
"content": "I get it now",
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"id": 1060479006895517700,
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"timestamp": "01/05/2023 03:44:57",
"content": ".close",
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"id": 1060479009865089000,
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"timestamp": "01/05/2023 03:44:58",
"content": "Channel closed",
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}
] |
help-9
|
d136f6322f6f4f358c951cf89bae190e
|
200,540 |
[
{
"id": 1060485155669672000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 04:09:23",
"content": "Available help channel!",
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},
{
"id": 1060490470880448500,
"author_id": 228768374442688500,
"author_name": "kay",
"timestamp": "01/05/2023 04:30:31",
"content": "the quistion is to inegrate using cilindrical coardinates but i dont understand in this quistion is how i can find the limits for dr and d_theta",
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"content": "Pinned a message.",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:38:10",
"content": "alright so do you have any idea of what you should do?",
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"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:38:17",
"content": "or what's specifically confusing you",
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{
"id": 1060492634864505000,
"author_id": 228768374442688500,
"author_name": "kay",
"timestamp": "01/05/2023 04:39:07",
"content": "i understand how theygot the limits for the intergral dz",
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"id": 1060492660462334000,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:39:13",
"content": "okay",
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"id": 1060492685800132600,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:39:19",
"content": "so lets talk about dr and dtheta shall we?",
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"id": 1060492730016464900,
"author_id": 228768374442688500,
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"timestamp": "01/05/2023 04:39:29",
"content": "Yes please",
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"id": 1060492868688556000,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:40:02",
"content": "for the first two integrals of dr and dtheta, imagine you are on the xy plane",
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"timestamp": "01/05/2023 04:40:13",
"content": "as the change in z is irrelevant to us here",
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{
"id": 1060493052969492500,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:40:46",
"content": "We are using cylindrical coordinates, meaning in the xy-plane, we have a circle or a sector of some sorts",
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"timestamp": "01/05/2023 04:40:49",
"content": "are you with me so far?",
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"id": 1060493143235117200,
"author_id": 228768374442688500,
"author_name": "kay",
"timestamp": "01/05/2023 04:41:08",
"content": "im with you",
"attachments": [],
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},
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"id": 1060493336831594500,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:41:54",
"content": "alright, so we are given the inequality $-\\frac{\\sqrt{3}x}{3} \\leq y \\leq \\sqrt{3}x$",
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"id": 1060493347065708500,
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"author_name": "TeXit",
"timestamp": "01/05/2023 04:41:56",
"content": "**♡LexQa♡**",
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"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:42:03",
"content": "divide both sides by x",
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"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:42:30",
"content": "you would get $-\\frac{\\sqrt{3}}{3} \\leq \\frac{y}{x} \\leq \\sqrt{3}$",
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"id": 1060493497016270800,
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"timestamp": "01/05/2023 04:42:32",
"content": "**♡LexQa♡**",
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"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:42:38",
"content": "is this okay so far?",
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},
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"id": 1060493775606124500,
"author_id": 228768374442688500,
"author_name": "kay",
"timestamp": "01/05/2023 04:43:39",
"content": "Yes, whe do this beacaus we want to solve for x or to remove x from both sides?",
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{
"id": 1060493819424018600,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:43:49",
"content": "No so here is the thing",
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},
{
"id": 1060493843709042700,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:43:55",
"content": "does y/x remind you of something",
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},
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"id": 1060493875325702100,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:44:02",
"content": "think of the unit circle",
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},
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"id": 1060493911719686100,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:44:11",
"content": "and trigonometry",
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},
{
"id": 1060493970175709200,
"author_id": 228768374442688500,
"author_name": "kay",
"timestamp": "01/05/2023 04:44:25",
"content": "o i see",
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"id": 1060494003436531700,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:44:33",
"content": "yeah what do you see",
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},
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"id": 1060494114040320000,
"author_id": 228768374442688500,
"author_name": "kay",
"timestamp": "01/05/2023 04:44:59",
"content": "pi/3 for the uper bound",
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"id": 1060494218956644400,
"author_id": 228768374442688500,
"author_name": "kay",
"timestamp": "01/05/2023 04:45:24",
"content": "and -pi/6",
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},
{
"id": 1060494259645591600,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:45:34",
"content": "yes",
"attachments": [],
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},
{
"id": 1060494285922897900,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:45:40",
"content": "do you get that?",
"attachments": [],
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},
{
"id": 1060494325097693300,
"author_id": 228768374442688500,
"author_name": "kay",
"timestamp": "01/05/2023 04:45:50",
"content": "yes got it",
"attachments": [],
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},
{
"id": 1060494372631748700,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:46:01",
"content": "alright",
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},
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"id": 1060494382224134100,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:46:03",
"content": "now for the radius",
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},
{
"id": 1060494391669690500,
"author_id": 228768374442688500,
"author_name": "kay",
"timestamp": "01/05/2023 04:46:06",
"content": "i think is also see how to solve for dr",
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},
{
"id": 1060494511337386000,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:46:34",
"content": "in the $xy$-plane, $z = 0$, so you have $0 = 3 -x^2 -y^2$",
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},
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"id": 1060494520657125400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/05/2023 04:46:36",
"content": "**♡LexQa♡**",
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"timestamp": "01/05/2023 04:46:57",
"content": "R =sqrout3",
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"id": 1060494719051890800,
"author_id": 228768374442688500,
"author_name": "kay",
"timestamp": "01/05/2023 04:47:24",
"content": "right?",
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},
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"id": 1060494735543914500,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:47:27",
"content": "yes",
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"id": 1060494743093649500,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:47:29",
"content": "thats correct",
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"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:47:31",
"content": "good job",
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},
{
"id": 1060494933976424400,
"author_id": 228768374442688500,
"author_name": "kay",
"timestamp": "01/05/2023 04:48:15",
"content": "and in this case the lower limit is zero becaus there is no limit on this function",
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},
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"id": 1060494970429124600,
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"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:48:23",
"content": "well",
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},
{
"id": 1060495265250938900,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:49:34",
"content": "i always like to think of it as the ray starting at the origin, aka hitting the region first at the origin, then lastly hitting the sqrt(3)",
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"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:49:40",
"content": "thats a vague way of saying it",
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},
{
"id": 1060495296943104100,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:49:41",
"content": "but yeah",
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},
{
"id": 1060495497699262500,
"author_id": 228768374442688500,
"author_name": "kay",
"timestamp": "01/05/2023 04:50:29",
"content": "Thank you for helping i think i can solve it now",
"attachments": [],
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},
{
"id": 1060495521506144300,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:50:35",
"content": "alright have a nice one!",
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},
{
"id": 1060495545329778700,
"author_id": 228768374442688500,
"author_name": "kay",
"timestamp": "01/05/2023 04:50:41",
"content": "Same",
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},
{
"id": 1060495557551988700,
"author_id": 228768374442688500,
"author_name": "kay",
"timestamp": "01/05/2023 04:50:43",
"content": ".close",
"attachments": [],
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},
{
"id": 1060495560836120600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 04:50:44",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
98ace89c00c849e5ac61d4704b25c523
|
200,541 |
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{
"id": 1060495621393489900,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:50:59",
"content": "you can type .close if your question is done btw",
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},
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"id": 1060495627814977500,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:51:00",
"content": "oh",
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},
{
"id": 1060495648673239200,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:51:05",
"content": "you already did it haha",
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},
{
"id": 1060495661210022000,
"author_id": 1022141568737607800,
"author_name": "♡A(lex)♡",
"timestamp": "01/05/2023 04:51:08",
"content": "alright see you around",
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},
{
"id": 1060495813643612200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 04:51:45",
"content": "Available help channel!",
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},
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"id": 1060499005982916700,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:04:26",
"content": "",
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"timestamp": "01/05/2023 05:04:28",
"content": "Pinned a message.",
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"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:04:49",
"content": "what do you not understand",
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"id": 1060499302419550300,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "01/05/2023 05:05:36",
"content": "lol",
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},
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"id": 1060499397143699600,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:05:59",
"content": "okay so are you familiar with the term \"sum\"",
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"id": 1060499834630582300,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:07:43",
"content": "hello",
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},
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"id": 1060499852175343700,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:07:47",
"content": "Hello",
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},
{
"id": 1060499886535094300,
"author_id": 542768379757330400,
"author_name": "Gyro",
"timestamp": "01/05/2023 05:07:56",
"content": "Hello",
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},
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"id": 1060500000074903600,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:08:23",
"content": "what \\",
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},
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"id": 1060500038381469800,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:08:32",
"content": "Do yk what sum means",
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},
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"id": 1060500231101362200,
"author_id": 391896531747340300,
"author_name": "Ankit",
"timestamp": "01/05/2023 05:09:18",
"content": "hello",
"attachments": [],
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},
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"id": 1060500231449497700,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:09:18",
"content": "the guy said add",
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},
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"id": 1060500232217047000,
"author_id": 977229965307310100,
"author_name": "Dizaj",
"timestamp": "01/05/2023 05:09:18",
"content": "11/21 +4/21=15/21",
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"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:09:28",
"content": "i sad total",
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},
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"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:09:36",
"content": "yeah so at anytime",
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"author_name": "Lima",
"timestamp": "01/05/2023 05:09:55",
"content": "if they say a give the sum of (any numbers) you add them together",
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"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:10:00",
"content": "ok",
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},
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"id": 1060500433531064300,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:10:06",
"content": "this case its 11/21 and 4/21",
"attachments": [],
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},
{
"id": 1060500467588800500,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:10:14",
"content": "so if we hadd 11/21 and 4/21 what we get",
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},
{
"id": 1060500553228111900,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:10:35",
"content": "is?",
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},
{
"id": 1060500581648695400,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:10:41",
"content": "you do it",
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},
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"id": 1060500602905444400,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:10:46",
"content": "idk how",
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},
{
"id": 1060500652398219300,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:10:58",
"content": "cant focus properly",
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},
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"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:11:01",
"content": "on school",
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},
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"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:11:04",
"content": "math is the hardest",
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},
{
"id": 1060500698514587800,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:11:09",
"content": "okay so they have the same number on the bottom",
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},
{
"id": 1060500722506022900,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:11:15",
"content": "ok",
"attachments": [],
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},
{
"id": 1060500732639449100,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:11:17",
"content": "which means we dont need to change it",
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},
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"id": 1060500738209480700,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:11:19",
"content": "just keep it>?",
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},
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"id": 1060500753539670000,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:11:22",
"content": "ok",
"attachments": [],
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},
{
"id": 1060500755292901400,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:11:23",
"content": "yes",
"attachments": [],
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},
{
"id": 1060500786867601400,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:11:30",
"content": "so we add the top numbers",
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},
{
"id": 1060500801677692900,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:11:34",
"content": "11 + 4",
"attachments": [],
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},
{
"id": 1060500812394135600,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:11:36",
"content": "15",
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},
{
"id": 1060500919323725800,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:12:02",
"content": "yes so with that logic whats 11/21 + 4/21",
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},
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"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:12:03",
"content": "so 15/21",
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},
{
"id": 1060500936226771000,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:12:06",
"content": "yes",
"attachments": [],
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"reference": null
},
{
"id": 1060500942279168000,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:12:07",
"content": "well done",
"attachments": [],
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},
{
"id": 1060501031341006800,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:12:29",
"content": "how abt in q 2/",
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},
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"id": 1060501032418955300,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:12:29",
"content": "okay so what common multiple do 15 and 21 have",
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"id": 1060501052010533000,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:12:33",
"content": "3",
"attachments": [],
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},
{
"id": 1060501085556580400,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:12:41",
"content": "so 15 divided by 3 gives",
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},
{
"id": 1060501134231474300,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:12:53",
"content": "?",
"attachments": [],
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"reference": null
},
{
"id": 1060501135925985300,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:12:53",
"content": "5?",
"attachments": [],
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},
{
"id": 1060501152627703800,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:12:57",
"content": "yes",
"attachments": [],
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"reference": null
},
{
"id": 1060501164958957600,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:13:00",
"content": "so we have 5 ontop",
"attachments": [],
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},
{
"id": 1060501181899735000,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:13:04",
"content": "21 divided by 3 is",
"attachments": [],
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"reference": null
},
{
"id": 1060501203420708900,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:13:10",
"content": "7",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060501234559238100,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:13:17",
"content": "can we simplify it further",
"attachments": [],
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"reference": null
},
{
"id": 1060501291593388000,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:13:31",
"content": "wait",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060501322572496900,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:13:38",
"content": "no?",
"attachments": [],
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},
{
"id": 1060501504282341400,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:14:21",
"content": "good",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060501523051860000,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:14:26",
"content": "so 5/7 is the answer",
"attachments": [],
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"reference": null
},
{
"id": 1060501529204899800,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:14:27",
"content": "5/7?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060501534217084900,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:14:28",
"content": "OK",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060501599312687100,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:14:44",
"content": "how about difference between 8/12 and 3/12. Simplify the answer.",
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},
{
"id": 1060501663397457900,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:14:59",
"content": "11/12?",
"attachments": [],
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},
{
"id": 1060501693692907500,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:15:06",
"content": "So",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060501722868486100,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:15:13",
"content": "what do we do to 3/12 to get it to 8/12",
"attachments": [],
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"reference": null
},
{
"id": 1060501789226569700,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:15:29",
"content": "3 + 8 = 11",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060501810831429600,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:15:34",
"content": "keep 12?",
"attachments": [],
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},
{
"id": 1060501921317793800,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:16:01",
"content": "no we are trying to get to 8/12",
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"content": "3/12 + something = 8/12",
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"author_name": "Francolol",
"timestamp": "01/05/2023 05:16:13",
"content": "oh",
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"timestamp": "01/05/2023 05:16:30",
"content": "5?",
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"timestamp": "01/05/2023 05:17:04",
"content": "yes",
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"id": 1060502215871184900,
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"author_name": "Lima",
"timestamp": "01/05/2023 05:17:11",
"content": "so whats the difference between the numbers",
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"id": 1060502334242820100,
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"timestamp": "01/05/2023 05:17:39",
"content": "5/12?",
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"author_name": "Francolol",
"timestamp": "01/05/2023 05:18:19",
"content": "",
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"id": 1060502519308091400,
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"timestamp": "01/05/2023 05:18:23",
"content": "yeah good",
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"timestamp": "01/05/2023 05:18:33",
"content": "4/6",
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"id": 1060502585309663200,
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"timestamp": "01/05/2023 05:18:39",
"content": "is that it",
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"id": 1060502722375336100,
"author_id": 1041394157719134300,
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"timestamp": "01/05/2023 05:19:12",
"content": "but",
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},
{
"id": 1060502738405953500,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:19:16",
"content": "not quite",
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{
"id": 1060502752951799900,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:19:19",
"content": "you're rushing",
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"timestamp": "01/05/2023 05:19:25",
"content": "2/3?",
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"id": 1060502792831242200,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:19:29",
"content": "what is 1 3/6 written as a fraction",
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"id": 1060502868584583200,
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"timestamp": "01/05/2023 05:19:47",
"content": "what?",
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"id": 1060502958577553400,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:20:08",
"content": "so",
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},
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"id": 1060502974696271900,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:20:12",
"content": "how many sixths",
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},
{
"id": 1060502990991147000,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:20:16",
"content": "do we needd to make 1",
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"id": 1060503060654346200,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:20:32",
"content": "1?",
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"author_name": "Francolol",
"timestamp": "01/05/2023 05:20:36",
"content": "what",
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{
"id": 1060503145467367400,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:20:53",
"content": "no",
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},
{
"id": 1060503165902008400,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:20:57",
"content": "how many 1/6 fractions",
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},
{
"id": 1060503185141284900,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:21:02",
"content": "do we need to make 1",
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},
{
"id": 1060503237238739000,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:21:14",
"content": "6",
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},
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"id": 1060503247183421400,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:21:17",
"content": "??????",
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"id": 1060503575836491900,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:22:35",
"content": "yees",
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},
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"id": 1060503579321970700,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:22:36",
"content": "6",
"attachments": [],
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},
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"id": 1060503597491695700,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:22:40",
"content": "so we know",
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},
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"author_name": "Lima",
"timestamp": "01/05/2023 05:22:45",
"content": "1 = 6/6",
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},
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"id": 1060503683722399700,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:23:01",
"content": "ok",
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},
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"id": 1060503728861499500,
"author_id": 1041394157719134300,
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"timestamp": "01/05/2023 05:23:12",
"content": "so",
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},
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"id": 1060503770980688000,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:23:22",
"content": "to turn 1 3/6 into a fraction",
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},
{
"id": 1060503781646794800,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:23:24",
"content": "what do we do",
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},
{
"id": 1060503884914774000,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:23:49",
"content": "wait",
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},
{
"id": 1060504015676391400,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:24:20",
"content": "ok",
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},
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"id": 1060504033628000400,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:24:24",
"content": "add 6 to 1?",
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},
{
"id": 1060504135646060500,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:24:49",
"content": "not quit",
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},
{
"id": 1060504152557494300,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:24:53",
"content": "we want the 1 away",
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},
{
"id": 1060504206370418800,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:25:06",
"content": "what 1 way",
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},
{
"id": 1060504257025036400,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:25:18",
"content": "the 1 at the front of 1 3/6",
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},
{
"id": 1060504294157197300,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:25:26",
"content": "these are theoptions",
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"id": 1060504374444564500,
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"author_name": "Lima",
"timestamp": "01/05/2023 05:25:46",
"content": "ik but we havent added them yet",
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},
{
"id": 1060504389682466800,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:25:49",
"content": "1+ 2+ 1?",
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},
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"id": 1060504405914427500,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:25:53",
"content": "we first need to make them fractions",
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},
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"id": 1060504447219929100,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:26:03",
"content": "how?",
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},
{
"id": 1060504485719453700,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:26:12",
"content": "so we know that 1 = 6/6",
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},
{
"id": 1060504504937758700,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:26:17",
"content": "so we can right it as",
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},
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"id": 1060504571211956200,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:26:32",
"content": "6/6 + 3/6 + 2 + 1 1/6",
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},
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"id": 1060504718872412200,
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"author_name": "Francolol",
"timestamp": "01/05/2023 05:27:08",
"content": "21/ 6?",
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},
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"id": 1060504959210242000,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:28:05",
"content": "rushing again",
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},
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"id": 1060504973194039400,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:28:08",
"content": "convert",
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},
{
"id": 1060504986200571900,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:28:11",
"content": "all the nubmers",
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},
{
"id": 1060504991665750000,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:28:13",
"content": "huh huh huh'",
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},
{
"id": 1060505026608500700,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:28:21",
"content": "2 in 1/6s",
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},
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"id": 1060505242736799700,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:29:13",
"content": "3/6 ???",
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},
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"id": 1060505260579365000,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:29:17",
"content": "dont get it",
"attachments": [],
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},
{
"id": 1060505345782452200,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:29:37",
"content": "how many",
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},
{
"id": 1060505358336016500,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:29:40",
"content": "1/6 is 1",
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},
{
"id": 1060505378523201700,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:29:45",
"content": "6",
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},
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"id": 1060505399318552600,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:29:50",
"content": "so",
"attachments": [],
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},
{
"id": 1060505418054520800,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:29:54",
"content": "how many 1/6 is 2",
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},
{
"id": 1060505545511026700,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:30:25",
"content": "3?",
"attachments": [],
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},
{
"id": 1060505660619497600,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:30:52",
"content": "no",
"attachments": [],
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},
{
"id": 1060505672631980000,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:30:55",
"content": "so if 6 = 1",
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},
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"id": 1060505677652561900,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:30:56",
"content": "2",
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},
{
"id": 1060505688473870300,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:30:59",
"content": "and 2 is double of 1",
"attachments": [],
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},
{
"id": 1060505703862767600,
"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:31:03",
"content": "what would that make 6",
"attachments": [],
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},
{
"id": 1060505788520616000,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:31:23",
"content": "im gonna bye",
"attachments": [],
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},
{
"id": 1060505798788260000,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:31:25",
"content": "sorry",
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},
{
"id": 1060505819650732000,
"author_id": 1044764633237557400,
"author_name": "Francolol",
"timestamp": "01/05/2023 05:31:30",
"content": "also to hard",
"attachments": [],
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},
{
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"author_id": 1041394157719134300,
"author_name": "Lima",
"timestamp": "01/05/2023 05:31:39",
"content": "take a abreak",
"attachments": [],
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},
{
"id": 1060509595673559000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 05:46:30",
"content": "@Francolol Has your question been resolved?",
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{
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"discriminator": "5872",
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},
{
"id": 1060513372283601000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 06:01:31",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
d59dfeb4b0374f2694e75006ea6580a5
|
200,542 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 06:02:31",
"content": "Available help channel!",
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},
{
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"author_id": 737546605053476900,
"author_name": "DungeonChief",
"timestamp": "01/05/2023 07:03:04",
"content": "A Baker made a circular cake. He marked the centre of the cake and wants to put a cherry there, but he accidentally puts it somewhere else. He wants to make as few cuts in the cake as possible so that he can rearrange the pieces of the cake to make it circular again and have the cherry at the centre. we have to fin the number",
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"timestamp": "01/05/2023 07:03:05",
"content": "Pinned a message.",
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/05/2023 07:08:59",
"content": "What number",
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"content": "minimum cuts",
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"timestamp": "01/05/2023 07:09:57",
"content": "It totally depends on what is the position of the cherry",
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"content": "obvs not the centre",
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"timestamp": "01/05/2023 07:10:23",
"content": "Question is pretty interesting",
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"timestamp": "01/05/2023 07:10:29",
"content": "Nah, it shouldn't. Every point in a circe which isn't the center should be 'symmetric' wrt this problem",
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"content": "hmm",
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"timestamp": "01/05/2023 07:11:21",
"content": "Well then how many cuts you can do actually",
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"content": "No idea. I'm just saying that I'm fairly certain that your claim is wrong.",
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"content": "it has to be placed on some point on the radius, if you orient it so that the radius line is always down, try a couple use cases and see if you notice anything ig",
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"timestamp": "01/05/2023 07:12:15",
"content": "somewhere on that red line",
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"timestamp": "01/05/2023 07:12:53",
"content": "doesnt matter where you draw that red line, you could always just rotate the cake so its downwards facing",
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"author_name": "𝓐𝓡𝓝𝓐𝓑 𝓟𝓐𝓛",
"timestamp": "01/05/2023 07:12:55",
"content": "And in my imagination of you cut a piece of a cake then it wouldn't be a circle anymore but maybe I am wrong",
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"timestamp": "01/05/2023 07:14:11",
"content": "Does a \"cut\" have to be a chord?\nIf not, I could make a small triangle enclosing the cherry. Another small triangle enclosing the center. And swap these two pieces of small cakes. So a total of 6 'cuts'",
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"timestamp": "01/05/2023 07:14:41",
"content": "id assume it has to be a chord",
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"timestamp": "01/05/2023 07:17:01",
"content": "My guess is that if you are only allowed chords on the original circle, then it's impossible.\nI've no proof whatsoever, but I quite strongly believe this",
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"timestamp": "01/05/2023 07:17:33",
"content": "yeah",
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"timestamp": "01/05/2023 07:17:38",
"content": "maybe it isnt then",
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"timestamp": "01/05/2023 07:17:46",
"content": "in which case 6 like u said",
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"timestamp": "01/05/2023 07:19:02",
"content": "@DungeonChief Any idea what 'cut' refers to in the question?",
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"timestamp": "01/05/2023 07:22:49",
"content": "yah",
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"content": "cut means divide the cake into pieces",
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"content": "@trevontrevon12",
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"timestamp": "01/05/2023 07:23:34",
"content": "Maybe read the conversation above, and you'll see why that isn't a clear enough definition",
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"timestamp": "01/05/2023 07:23:41",
"content": "hmm",
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"timestamp": "01/05/2023 07:24:51",
"content": "it has to be a chor",
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"timestamp": "01/05/2023 07:25:11",
"content": "dd",
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"author_name": "trevontrevon12",
"timestamp": "01/05/2023 07:25:47",
"content": "Sure about that?\nIt can't be a curved arc? It can't be a segment inside the circle without touching its circumference?",
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"content": "i think cuz , like you SAID WE would cut 2 triangles instead we could cut out a rectangle in such a way it has the centre on one end and the cherry on th other , after that we can rotate it 180 degree",
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"timestamp": "01/05/2023 07:28:53",
"content": "or may be an equilateral triangle with cherry and centre on any 2 vertex then we can rotate?",
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"timestamp": "01/05/2023 07:28:56",
"content": "what say?",
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"content": "@trevontrevon12",
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"timestamp": "01/05/2023 07:30:19",
"content": "then ?",
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"timestamp": "01/05/2023 07:33:05",
"content": "Oh that's a very cute idea. Nice",
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"timestamp": "01/05/2023 07:45:20",
"content": "@DungeonChief Has your question been resolved?",
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"timestamp": "01/05/2023 08:00:20",
"content": "Channel closed",
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] |
help-9
|
ac7ed35e71844d768a4e6e7567d6ec09
|
200,543 |
[
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"id": 1035239561518923900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 13:12:25",
"content": "Available help channel!",
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},
{
"id": 1035240264140329100,
"author_id": 484858364921380860,
"author_name": "gelas",
"timestamp": "10/27/2022 13:15:12",
"content": "Hello",
"attachments": [],
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},
{
"id": 1035240266799525900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 13:15:13",
"content": "Pinned a message.",
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"author_id": 484858364921380860,
"author_name": "gelas",
"timestamp": "10/27/2022 13:18:00",
"content": "It's about space geometry and my teacher who studied engineering couldn't solve it. However, I couldn't solve it either it's about an intersection of the pyramid.",
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"timestamp": "10/27/2022 13:32:53",
"content": "Nevermind I solved it!",
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"id": 1035244743728304300,
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"author_name": "gelas",
"timestamp": "10/27/2022 13:33:00",
"content": ".close",
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"timestamp": "10/27/2022 13:33:01",
"content": "Channel closed",
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}
] |
help-9
|
93c860fa359643f7a5a576ebfe625afd
|
200,544 |
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"id": 1060543526816993300,
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"timestamp": "01/05/2023 08:01:20",
"content": "Available help channel!",
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},
{
"id": 1060549907875905500,
"author_id": 756452562898518000,
"author_name": "Jawad",
"timestamp": "01/05/2023 08:26:42",
"content": "They've used PIE to solve this question \ni wonder hy simply applying normal combi can't solve this question",
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"content": "Pinned a message.",
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"id": 1060550451650625500,
"author_id": 756452562898518000,
"author_name": "Jawad",
"timestamp": "01/05/2023 08:28:51",
"content": "like\nstep1. select 4 objects out of 6 in 6c4 ways\nstep2. distribute these selected objects to the 4 boxes in 4! ways \nstep3. just distributing 2 objects into 4 boxes without any restrictions in 4^2 ways",
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"id": 1060550515940933800,
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"author_name": "Jawad",
"timestamp": "01/05/2023 08:29:07",
"content": "multiply all of these steps",
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"author_name": "Jawad",
"timestamp": "01/05/2023 08:29:21",
"content": "the answer does not match \nwhy?",
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"id": 1060551393414496400,
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"timestamp": "01/05/2023 08:32:36",
"content": "and please ping me",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "01/05/2023 08:37:37",
"content": "everything is distinguishable? does that super matter here",
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"timestamp": "01/05/2023 08:37:50",
"content": "i think thats gonna give a problem if you use 6c4",
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"timestamp": "01/05/2023 08:38:15",
"content": "alright ..",
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"author_name": "Jawad",
"timestamp": "01/05/2023 08:38:19",
"content": "so wht do u suggest ?",
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"timestamp": "01/05/2023 08:38:24",
"content": "use pie",
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"timestamp": "01/05/2023 08:38:29",
"content": "its much more reasonable",
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"timestamp": "01/05/2023 08:38:38",
"content": "is there some change along with 6c4?",
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"author_name": "jan Niku",
"timestamp": "01/05/2023 08:38:59",
"content": "im trying to think of how to do this constructively",
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"timestamp": "01/05/2023 08:39:36",
"content": "maybe treat the boxes as ordered",
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"timestamp": "01/05/2023 08:39:44",
"content": "and then treat this as orderings of the 6 objects",
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"timestamp": "01/05/2023 08:39:56",
"content": "so boxes are ordered, and you order the 6 objects",
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"timestamp": "01/05/2023 08:40:04",
"content": "the first four have a clear order",
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"timestamp": "01/05/2023 08:40:15",
"content": "then you have to multiply by 8 at the end",
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"timestamp": "01/05/2023 08:40:18",
"content": "no",
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"timestamp": "01/05/2023 08:40:19",
"content": "4^2",
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"content": "2^4 really",
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"content": "but either way",
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"content": "why?",
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"content": "shouldn't it be 4^2",
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"content": "it doesnt matter",
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"content": "y..?",
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"content": "same value i think",
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"content": "are u suggesting that 4^2 and 2^4 are same?",
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"content": "no :bearlain:",
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"timestamp": "01/05/2023 08:41:47",
"content": ",calc 2^4 - 4^2",
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"author_name": "TeXit",
"timestamp": "01/05/2023 08:41:48",
"content": "Result:\n```\n0\n```",
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"timestamp": "01/05/2023 08:41:51",
"content": "i mean yes",
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"timestamp": "01/05/2023 08:42:07",
"content": "fuck ...",
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"timestamp": "01/05/2023 08:42:15",
"content": "missed that point ..",
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"timestamp": "01/05/2023 08:42:20",
"content": "lol it really doesnt matter",
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"timestamp": "01/05/2023 08:42:28",
"content": "so arrange the boxes that they have an order",
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"timestamp": "01/05/2023 08:42:32",
"content": "still the point is we're multiplying with 16",
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"timestamp": "01/05/2023 08:42:36",
"content": "H H H H",
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"timestamp": "01/05/2023 08:42:45",
"content": "O O O O **O O**",
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"timestamp": "01/05/2023 08:42:45",
"content": "4! ways",
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"timestamp": "01/05/2023 08:42:56",
"content": "6! ways",
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"timestamp": "01/05/2023 08:42:57",
"content": "let it be fixed",
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"timestamp": "01/05/2023 08:43:02",
"content": "im saying fix the order of the boxes",
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"timestamp": "01/05/2023 08:43:06",
"content": "alright",
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"timestamp": "01/05/2023 08:43:07",
"content": "okok",
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"timestamp": "01/05/2023 08:43:09",
"content": "and vary the ordering of the objects",
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"timestamp": "01/05/2023 08:43:12",
"content": "idk if that makes sense",
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"timestamp": "01/05/2023 08:43:14",
"content": "it does to me",
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"timestamp": "01/05/2023 08:43:23",
"content": "like",
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"timestamp": "01/05/2023 08:43:25",
"content": "hmm hmmm",
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"timestamp": "01/05/2023 08:43:27",
"content": "if you have them both ordered",
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"timestamp": "01/05/2023 08:43:29",
"content": "1 2 3 4",
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"content": "1 2 3 4 5 6",
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"timestamp": "01/05/2023 08:43:34",
"content": "and you vary",
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"timestamp": "01/05/2023 08:43:37",
"content": "1 3 2 4",
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"timestamp": "01/05/2023 08:43:41",
"content": "or",
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"timestamp": "01/05/2023 08:43:44",
"content": "1 3 2 4 5 6",
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"author_name": "jan Niku",
"timestamp": "01/05/2023 08:43:48",
"content": "you see what i mean?",
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"timestamp": "01/05/2023 08:44:00",
"content": "im personally imagining drawing a line directly up from the objects",
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"timestamp": "01/05/2023 08:44:02",
"content": "into a box like",
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"timestamp": "01/05/2023 08:44:05",
"content": "oooooooooooo",
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"timestamp": "01/05/2023 08:44:07",
"content": "ok ok ok",
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"timestamp": "01/05/2023 08:44:12",
"content": "the first four objects go into box 1 2 3 or 4 respectively",
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"timestamp": "01/05/2023 08:44:17",
"content": "then you have choices of where to place the remaining 2",
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"content": "objects",
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"content": "16 ways, i think",
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"content": "both can go to one box \nor can go to 2 different boxes",
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"content": "yup",
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"content": "idk im just picturing a grid",
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"timestamp": "01/05/2023 08:44:54",
"content": "but it dont matter",
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"timestamp": "01/05/2023 08:44:59",
"content": "okay so now we have",
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"timestamp": "01/05/2023 08:45:09",
"content": "we have a procedure",
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"author_name": "jan Niku",
"timestamp": "01/05/2023 08:45:21",
"content": "1. we select 4 objects to be 'initial ordered'",
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"timestamp": "01/05/2023 08:45:37",
"content": "2. we consider every permutation of these 4 initially ordered objects",
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"timestamp": "01/05/2023 08:46:03",
"content": "3. for each permutation of the initially ordered objects, we actually have 16 total permutations because of the 'freely ordered' objects",
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"timestamp": "01/05/2023 08:46:30",
"content": "so 1 is unordered, 2 is ordered, 3 is unordered",
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"timestamp": "01/05/2023 08:46:58",
"content": "so i thinkkk",
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"timestamp": "01/05/2023 08:47:00",
"content": "lemme see",
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"timestamp": "01/05/2023 08:47:01",
"content": "you have the answer",
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"timestamp": "01/05/2023 08:47:04",
"content": "so we can play with it",
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"content": "2260",
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"timestamp": "01/05/2023 08:47:28",
"content": "here it is",
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"timestamp": "01/05/2023 08:48:03",
"content": "hmm",
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"timestamp": "01/05/2023 08:48:21",
"content": "problems",
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"timestamp": "01/05/2023 08:48:29",
"content": "the answer isnt divisible by 6c4",
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"timestamp": "01/05/2023 08:49:49",
"content": "im not sure :bearlain:",
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"timestamp": "01/05/2023 08:49:52",
"content": "but",
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"timestamp": "01/05/2023 08:49:56",
"content": "i think using pie here makes sense",
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"timestamp": "01/05/2023 08:50:23",
"content": "look there are many cases where pie makes sense but that's not the point",
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"timestamp": "01/05/2023 08:50:30",
"content": "the question is y is my method wrong",
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"author_name": "Jawad",
"timestamp": "01/05/2023 08:50:51",
"content": "or to frame it otherwise\nhow do i know whn to apply pie",
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"timestamp": "01/05/2023 08:51:18",
"content": "usually where its easier to enumerate the complement",
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"timestamp": "01/05/2023 08:51:23",
"content": "my mind would go like",
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"timestamp": "01/05/2023 08:51:32",
"content": "\"such that there is no empty box\"",
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"timestamp": "01/05/2023 08:51:39",
"content": "well idk assuming we were on the right track",
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"timestamp": "01/05/2023 08:51:45",
"content": "you saw how we had to introduce an ordering",
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"timestamp": "01/05/2023 08:51:48",
"content": "and like",
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"content": "it requires a lot more tracking",
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"timestamp": "01/05/2023 08:51:58",
"content": "because we have more objects than boxes",
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"timestamp": "01/05/2023 08:52:13",
"content": "so 4 go in cleanly, but then what happens with the other 2",
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"timestamp": "01/05/2023 08:52:16",
"content": "anyways",
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"timestamp": "01/05/2023 08:52:19",
"content": "the other way is way easier",
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"timestamp": "01/05/2023 08:52:31",
"content": "pick a box to exclude, and place all the objects in the remaining boxes",
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"content": "its so straightforward",
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"timestamp": "01/05/2023 08:52:47",
"content": "yea fair enough ..",
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"timestamp": "01/05/2023 08:52:50",
"content": "another hint is maybe when it is like",
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"timestamp": "01/05/2023 08:53:10",
"content": "if its significantly easier to enumerate all possibilities than it is to enumerate them subject to some exclusive condition",
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"timestamp": "01/05/2023 08:53:17",
"content": "compare 4^6",
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"author_name": "jan Niku",
"timestamp": "01/05/2023 08:53:21",
"content": "vs whatever the hell we were doing",
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"timestamp": "01/05/2023 08:53:49",
"content": "tbh ive taken like 5 classes now in college that require enumerating stuff like this and id say i still check if PIE works on like 50% of exam problems",
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"timestamp": "01/05/2023 08:53:55",
"content": "because it takes not a lot of time to check",
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"author_name": "Jawad",
"timestamp": "01/05/2023 08:54:17",
"content": "alright",
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"author_name": "Jawad",
"timestamp": "01/05/2023 08:54:21",
"content": "how exactly do u check that?",
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"timestamp": "01/05/2023 08:54:29",
"content": "try creating a process",
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"timestamp": "01/05/2023 08:54:32",
"content": "see if it makes sense",
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"author_name": "Jawad",
"timestamp": "01/05/2023 08:54:32",
"content": "like wht do u think?",
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"author_name": "jan Niku",
"timestamp": "01/05/2023 08:54:43",
"content": "go with whatever seems to giving you the most success",
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"timestamp": "01/05/2023 08:54:55",
"content": "its so hard with these because",
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"timestamp": "01/05/2023 08:55:00",
"content": "its always some gigantic number right",
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"author_name": "Jawad",
"timestamp": "01/05/2023 08:55:06",
"content": "yea",
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"author_name": "jan Niku",
"timestamp": "01/05/2023 08:55:12",
"content": "its so hard to get an answer at the end and know like is this reasonable or insane",
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"timestamp": "01/05/2023 08:55:23",
"content": "you have to trust that most of these problems are designed to have like",
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"timestamp": "01/05/2023 08:55:27",
"content": "a specific process associated with them",
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"timestamp": "01/05/2023 08:55:34",
"content": "thats easy and sensible and pretty mechanical",
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"timestamp": "01/05/2023 08:55:38",
"content": "you are trying to find the process, not the number",
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"timestamp": "01/05/2023 08:55:48",
"content": "so if you select a process and stuff seems to just be working out",
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"timestamp": "01/05/2023 08:55:56",
"content": "idk how helpful this is",
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"id": 1060557310050701300,
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"author_name": "Jawad",
"timestamp": "01/05/2023 08:56:06",
"content": "thank you",
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"author_name": "jan Niku",
"timestamp": "01/05/2023 08:56:15",
"content": "sorry i cant figure out your problem :bearlain:",
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"timestamp": "01/05/2023 08:56:19",
"content": "ill take your leave",
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"content": "nononoon",
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"content": "no big deal",
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"content": "these always suck though lol",
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"timestamp": "01/05/2023 08:56:44",
"content": ".close",
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] |
help-9
|
4f310608f5d14b7e87a1983af0e67bd3
|
200,545 |
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"content": "Available help channel!",
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"content": "does this resolve to e raised to the power of a?",
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"timestamp": "01/05/2023 09:00:11",
"content": "if so, why (this may be incredibly obvious, however I'm new to calculus)",
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"content": "$\\lim_{n \\to \\infty} \\left(1+\\frac{1}{n} \\right)^n = e$",
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"timestamp": "01/05/2023 09:08:13",
"content": "**rbit ✨**",
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"content": "lets start with this, and then lets plug in n/a into n (this doesnt change our limit)",
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"content": "$\\lim_{n \\to \\infty} \\left(1+\\frac{a}{n} \\right)^{\\frac{n}{a}} = e$",
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"content": "**rbit ✨**",
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"timestamp": "01/05/2023 09:10:14",
"content": "and then just raise both sides to the power a, and because x^a is continuous, we can cancel the a inside the limit",
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"timestamp": "01/05/2023 09:12:36",
"content": "well plugging that in at least doesnt change it for positive a, might need to do some more work for negative a",
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"timestamp": "01/05/2023 09:17:36",
"content": "@TheLonelyPotato Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
1e85ec52891742c7a614b4a6eae1071a
|
200,546 |
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help-9
|
86cdcf1793d0439ab180ed922e2d68df
|
200,547 |
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"content": "hows my solution for this equiv relation?",
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"timestamp": "01/05/2023 10:17:40",
"content": "looks fine",
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"timestamp": "01/05/2023 10:18:00",
"content": "that was quick",
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"timestamp": "01/05/2023 10:18:06",
"content": "man did a speen run on marking",
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"timestamp": "01/05/2023 10:18:14",
"content": "lol :p",
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"content": "quick quick ting",
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"timestamp": "01/05/2023 10:18:37",
"content": "yeah looks good",
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"timestamp": "01/05/2023 10:20:10",
"content": "Toby reading: :zoomEyes:",
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"timestamp": "01/05/2023 10:20:26",
"content": "chartbit lurking",
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"timestamp": "01/05/2023 10:20:27",
"content": "as always",
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"content": "wheres mehdi",
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"content": "here's how I looked quickly:\n\nWe have a/c=b/d, so the question is secretly asking that rational reps of ~~Q ~~ reals are well defined, and that proof is quick because equals is equivalence relation",
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"content": "and clearly, you know what an equivalence relation is",
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"content": "man, that explanation took longer than actually checking",
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"content": "@SA2017 Has your question been resolved?",
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"timestamp": "01/05/2023 10:38:43",
"content": "is my transitive part correct?",
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"content": "hold up",
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"content": "this is a whole question on rational reps :kekw:",
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"timestamp": "01/05/2023 10:41:11",
"content": "yep",
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"content": "also check the case d=0",
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"timestamp": "01/05/2023 10:41:29",
"content": "and b=0",
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"timestamp": "01/05/2023 10:41:30",
"content": "seperately",
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"content": "wdym",
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"timestamp": "01/05/2023 10:41:45",
"content": "you can't divide by 0",
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"timestamp": "01/05/2023 10:41:46",
"content": "No need, both b and d are in N",
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"timestamp": "01/05/2023 10:42:18",
"content": "b and d r in N tho",
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"timestamp": "01/05/2023 10:42:24",
"content": "(unless your course includes 0 in the naturals, in which case, :monkey:)",
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"content": "0 is not in N",
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"timestamp": "01/05/2023 10:42:29",
"content": "nah it doesnt",
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"timestamp": "01/05/2023 10:42:53",
"content": "is my working correct then?",
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"timestamp": "01/05/2023 10:43:07",
"content": "heres MS",
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"timestamp": "01/05/2023 10:43:54",
"content": "I'm happy with it myself :catthumbsup:",
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"content": "Any way you show the transitivity is fine (if you don't need anything illegal)",
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"timestamp": "01/05/2023 10:44:41",
"content": "for this part",
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"timestamp": "01/05/2023 10:44:45",
"content": "Might be worth noting that",
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"timestamp": "01/05/2023 10:45:03",
"content": "u know how (a,b) ~ (c,d) so ad = bc",
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"content": "thats same as a/b = c/d",
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"timestamp": "01/05/2023 10:45:43",
"content": "so could we says that lets say (x,y) defines as x/y?",
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"content": "That's the idea you're supposed to see, that there's that relation",
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"content": "so to answer the question we can say, ' so all pairs in the same equivalence class are the numerator and denominator of equivalent fractions'",
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"content": "I think that should be sufficient imo, what you've said",
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"content": "The equivalence classes represent equivalent fractions or something like that",
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"timestamp": "01/05/2023 11:20:39",
"content": "@SA2017 Has your question been resolved?",
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"timestamp": "01/05/2023 11:28:09",
"content": "ive answered the first part",
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"timestamp": "01/05/2023 11:28:13",
"content": "need a bit help on green plz",
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"timestamp": "01/05/2023 11:29:48",
"content": "Well, might help to think about the properties of equivalence relations, or ways to violate them",
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"timestamp": "01/05/2023 11:31:17",
"content": "if its 'there exists'",
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"timestamp": "01/05/2023 11:31:32",
"content": "there means that ab is not ALWAYS = to 2^n right?",
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"timestamp": "01/05/2023 11:32:00",
"content": "and doesnt equivalence relations require ab to ALWAYS equal 2^n?",
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"timestamp": "01/05/2023 11:32:08",
"content": "hence its not an equivalence relation",
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"timestamp": "01/05/2023 11:32:59",
"content": "Basically, if a and b are related, then for those you can find some n such that a*b=2^n",
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"timestamp": "01/05/2023 11:33:54",
"content": "But then equivalence relations need you to have the additional properties",
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"timestamp": "01/05/2023 11:34:18",
"content": "wait",
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"timestamp": "01/05/2023 11:34:24",
"content": "do i just need to show",
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"timestamp": "01/05/2023 11:34:31",
"content": "thats its not an equivalence relations",
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"timestamp": "01/05/2023 11:34:34",
"content": "so",
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"timestamp": "01/05/2023 11:34:42",
"content": "just show its either not reflexive",
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"content": "symmetric",
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"timestamp": "01/05/2023 11:34:47",
"content": "or transitive",
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"content": "?",
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"timestamp": "01/05/2023 11:35:17",
"content": "i think i might no",
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"content": "so",
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"content": "That’s the idea, try to violate one of those",
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"timestamp": "01/05/2023 11:35:23",
"content": "if its reflexive",
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"timestamp": "01/05/2023 11:35:31",
"content": "a^2 = 2^n",
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"timestamp": "01/05/2023 11:35:35",
"content": "hence n = 2",
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"content": "and a = 2",
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"timestamp": "01/05/2023 11:35:48",
"content": "oh",
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"timestamp": "01/05/2023 11:36:12",
"content": "But think around those lines tho",
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"timestamp": "01/05/2023 11:36:39",
"content": "Remember a is a non-zero rational number",
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"content": "mhm",
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"content": "In fact, you can just pick one and show that its square isn’t a power of 2",
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"timestamp": "01/05/2023 11:37:39",
"content": "3^2",
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"author_name": "chartbit",
"timestamp": "01/05/2023 11:38:28",
"content": "That’ll do, picking your a=3 you show it isn’t related to itself 🥳",
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"id": 1060598219257675900,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "01/05/2023 11:38:40",
"content": "so 9 isnt a power of 2",
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"id": 1060598223384871000,
"author_id": 849961886874730500,
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"timestamp": "01/05/2023 11:38:41",
"content": "hence",
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"id": 1060598236521431200,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "01/05/2023 11:38:44",
"content": "not reflexive",
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"id": 1060598259116167300,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "01/05/2023 11:38:49",
"content": "is that all i need to say?",
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},
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"id": 1060598545989763200,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/05/2023 11:39:58",
"content": "Pretty much, just piecing it together really, “we show it’s not reflexive: choosing 3…”",
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},
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"id": 1060598595839066200,
"author_id": 849961886874730500,
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"timestamp": "01/05/2023 11:40:10",
"content": "kl",
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},
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"id": 1060598622644863100,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/05/2023 11:40:16",
"content": "Just need one counterexample and you’re good",
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},
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"id": 1060598628055519400,
"author_id": 849961886874730500,
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"timestamp": "01/05/2023 11:40:17",
"content": "equivalence relations r pretty simple to prove",
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},
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"id": 1060598630043623400,
"author_id": 849961886874730500,
"author_name": "SA2017",
"timestamp": "01/05/2023 11:40:18",
"content": "icl",
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"id": 1060599210434641900,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/05/2023 11:42:36",
"content": "Well so far they’re not too bad, let’s just hope they don’t start upping the fire :KEK:",
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},
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"author_name": "chartbit",
"timestamp": "01/05/2023 11:43:03",
"content": "Don’t think they’ll be that mean yet though [being careful to not jinx it]",
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"id": 1060607906485129200,
"author_id": 849961886874730500,
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"timestamp": "01/05/2023 12:17:10",
"content": "gonna start modular arthmetic now",
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"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "01/05/2023 12:59:50",
"content": "ah, so you are one of *those* people :p",
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"timestamp": "01/05/2023 13:15:02",
"content": "its a fact",
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"content": ".close",
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},
{
"id": 1060630311215583200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 13:46:11",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
330f7be62b124a0db73bc3a2c3d4927a
|
200,548 |
[
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"id": 1060630562878005200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 13:47:11",
"content": "Available help channel!",
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},
{
"id": 1060632254679896200,
"author_id": 565196687669461060,
"author_name": "𝕋𝕒𝕚𝕔𝕙𝕚",
"timestamp": "01/05/2023 13:53:55",
"content": "Hey can someone help me understand this question please?",
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"content": "Pinned a message.",
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"id": 1060633514430713900,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 13:58:55",
"content": "hello there!",
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},
{
"id": 1060633681590505500,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 13:59:35",
"content": "are we gonna use differentiation chain rule for this question?",
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{
"id": 1060633713991499900,
"author_id": 565196687669461060,
"author_name": "𝕋𝕒𝕚𝕔𝕙𝕚",
"timestamp": "01/05/2023 13:59:43",
"content": "I think so",
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"id": 1060633755443798100,
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"author_name": "OldBiscuit",
"timestamp": "01/05/2023 13:59:52",
"content": "sounds wonderful",
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},
{
"id": 1060633815330070500,
"author_id": 565196687669461060,
"author_name": "𝕋𝕒𝕚𝕔𝕙𝕚",
"timestamp": "01/05/2023 14:00:07",
"content": "What I was trying to do was: dr/dt = dr/da * da/dt",
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},
{
"id": 1060633907764150300,
"author_id": 565196687669461060,
"author_name": "𝕋𝕒𝕚𝕔𝕙𝕚",
"timestamp": "01/05/2023 14:00:29",
"content": "I think that its wrong because I can't get the dr/da",
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},
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"id": 1060633965125435400,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 14:00:42",
"content": "maybe we can switch it a bit",
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},
{
"id": 1060634113616396400,
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"author_name": "OldBiscuit",
"timestamp": "01/05/2023 14:01:18",
"content": "-0.5 = dA/dt = dA/dr * dr/dt",
"attachments": [],
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},
{
"id": 1060634144838799400,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 14:01:25",
"content": "would this help?",
"attachments": [],
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},
{
"id": 1060634307758149600,
"author_id": 565196687669461060,
"author_name": "𝕋𝕒𝕚𝕔𝕙𝕚",
"timestamp": "01/05/2023 14:02:04",
"content": "Not really, sorry",
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},
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"id": 1060634386078376100,
"author_id": 565196687669461060,
"author_name": "𝕋𝕒𝕚𝕔𝕙𝕚",
"timestamp": "01/05/2023 14:02:23",
"content": "How did you get that dA/dt = dA/dr * dr/dt",
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},
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"id": 1060634481817567200,
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"author_name": "OldBiscuit",
"timestamp": "01/05/2023 14:02:46",
"content": "well, chain rule my friend 🙂",
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},
{
"id": 1060634618925170700,
"author_id": 565196687669461060,
"author_name": "𝕋𝕒𝕚𝕔𝕙𝕚",
"timestamp": "01/05/2023 14:03:18",
"content": "sorry the wrong question of me to ask, how does it help me to find dr/dt?",
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},
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"id": 1060634645714178200,
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"author_name": "𝕋𝕒𝕚𝕔𝕙𝕚",
"timestamp": "01/05/2023 14:03:25",
"content": "or is that not even the thing I'm looking for",
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},
{
"id": 1060634718372118700,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 14:03:42",
"content": "dr/dt is the one you are looking for",
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},
{
"id": 1060634853634220000,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 14:04:14",
"content": "since dA/dr is easy to find",
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},
{
"id": 1060634929530155000,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 14:04:32",
"content": "we just have to use change of subject",
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},
{
"id": 1060635002016124900,
"author_id": 565196687669461060,
"author_name": "𝕋𝕒𝕚𝕔𝕙𝕚",
"timestamp": "01/05/2023 14:04:50",
"content": "Would that be the formula for the circle?",
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"id": 1060635173739319400,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 14:05:31",
"content": "area of circle",
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"timestamp": "01/05/2023 14:05:39",
"content": "yep",
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"author_name": "𝕋𝕒𝕚𝕔𝕙𝕚",
"timestamp": "01/05/2023 14:06:16",
"content": "That's great, thanks a lot!",
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"id": 1060635407781474400,
"author_id": 565196687669461060,
"author_name": "𝕋𝕒𝕚𝕔𝕙𝕚",
"timestamp": "01/05/2023 14:06:26",
"content": ".close",
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},
{
"id": 1060635410612629600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 14:06:27",
"content": "Channel closed",
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}
] |
help-9
|
607accb97c9043e3be1ca0a6715ee1e7
|
200,549 |
[
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"id": 1060635470658293800,
"author_id": 928166986700181500,
"author_name": "OldBiscuit",
"timestamp": "01/05/2023 14:06:41",
"content": "A=πr²",
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"timestamp": "01/05/2023 14:06:48",
"content": "cheers!",
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"content": "Available help channel!",
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"id": 1060645225900544000,
"author_id": 213073438221271040,
"author_name": "Clase",
"timestamp": "01/05/2023 14:45:27",
"content": "Would you guys reckon that the limit of `1/sqrt(2 + 1/x)` as `x` approaches infinity `= 1/sqrt(2)` is trivial?",
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"timestamp": "01/05/2023 14:45:28",
"content": "Pinned a message.",
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"author_id": 213073438221271040,
"author_name": "Clase",
"timestamp": "01/05/2023 14:45:44",
"content": "If not how do I go about \"dividing\" a square root into separate limits?",
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"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "01/05/2023 14:50:20",
"content": "\"trivial\" is subjective, but you can prove a general result that says if $f(x) \\to L$ then $\\sqrt{1 + f(x)} \\to \\sqrt{1 + L}$",
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"timestamp": "01/05/2023 14:50:23",
"content": "**ΣAC**",
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"timestamp": "01/05/2023 14:50:40",
"content": "even more generally the fact that the square root function is continuous means you can pass limits inside of it",
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"timestamp": "01/05/2023 14:51:11",
"content": "Ah that's a clever.",
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"id": 1060646774701826000,
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"author_name": "Clase",
"timestamp": "01/05/2023 14:51:36",
"content": "I figured I could do something with continuity and defining the square root as a separate function, not sure what though",
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"timestamp": "01/05/2023 14:51:42",
"content": "Or rather, wasn't* sure what",
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"timestamp": "01/05/2023 14:51:58",
"content": "Don't I have to figure out that there _is_ a limit first though?",
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"timestamp": "01/05/2023 14:52:41",
"content": "i mean yeah that would be part of the result",
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"id": 1060647163559956600,
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"timestamp": "01/05/2023 14:53:09",
"content": "Oh",
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"author_name": "Clase",
"timestamp": "01/05/2023 14:53:27",
"content": "Never heard about that\nI'll just use the continuity attribute you've mentioned, thanks a lot~",
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"timestamp": "01/05/2023 14:53:29",
"content": ".close",
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] |
help-9
|
075eba3ee1224d5a892c58c64f524ee9
|
200,550 |
[
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"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 14:55:31",
"content": "Available help channel!",
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},
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"id": 1060648132746154100,
"author_id": 1038037180741853200,
"author_name": "Jedi",
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"content": "Pinned a message.",
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"author_id": 1038037180741853200,
"author_name": "Jedi",
"timestamp": "01/05/2023 14:57:09",
"content": "Could anyone show how this is done?",
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},
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"id": 1060648192192028800,
"author_id": 856447591834976300,
"author_name": "Ryuzaki",
"timestamp": "01/05/2023 14:57:14",
"content": "sure",
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},
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"id": 1060648261532258400,
"author_id": 856447591834976300,
"author_name": "Ryuzaki",
"timestamp": "01/05/2023 14:57:31",
"content": "$\\frac{1}{\\sqrt{2}} \\cdot \\frac{\\sqrt{2}}{\\sqrt{2}}$",
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},
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"id": 1060648306847523000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/05/2023 14:57:42",
"content": "**Ø**",
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"timestamp": "01/05/2023 14:58:16",
"content": "$= \\frac{1 \\cdot \\sqrt{2}}{(\\sqrt{2})^2}$",
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"id": 1060648460132556800,
"author_id": 510789298321096700,
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"content": "**Ø**",
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"author_name": "Poquito Dondito",
"timestamp": "01/05/2023 14:58:52",
"content": "which then gives what you have on the right side of the equation",
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"timestamp": "01/05/2023 14:59:15",
"content": "since a square root squared gives the number on the inside",
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"author_name": "Jedi",
"timestamp": "01/05/2023 14:59:26",
"content": "oh I see, so it is to change how the fraction looks",
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"timestamp": "01/05/2023 14:59:41",
"content": "yep, it's a process called rationalizing the denominator",
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"timestamp": "01/05/2023 15:00:05",
"content": "it's equivalent, but generally it's considered the simplest way of expressing that fraction",
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"id": 1060649154713501700,
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"author_name": "Jedi",
"timestamp": "01/05/2023 15:01:04",
"content": "thanks for helping",
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"id": 1060649213211443300,
"author_id": 1038037180741853200,
"author_name": "Jedi",
"timestamp": "01/05/2023 15:01:18",
"content": ".close",
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"timestamp": "01/05/2023 15:01:18",
"content": "Channel closed",
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}
] |
help-9
|
51c93b8dbc36456cab4dfb206d45e9e7
|
200,551 |
[
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"timestamp": "01/05/2023 15:07:05",
"content": "Available help channel!",
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"author_name": "Micaeuni",
"timestamp": "01/05/2023 15:11:33",
"content": "hello guys can you find the inverse function of y=x^2-4x",
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"author_id": 646026076950233100,
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"content": "Do you know what an inverse of a function is?",
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"author_name": "Ryuzaki",
"timestamp": "01/05/2023 15:12:11",
"content": "we can *help* you find it",
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"timestamp": "01/05/2023 15:12:19",
"content": "however",
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"author_name": "Ryuzaki",
"timestamp": "01/05/2023 15:12:27",
"content": "in this case",
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"timestamp": "01/05/2023 15:12:52",
"content": "I know what it is",
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"timestamp": "01/05/2023 15:13:29",
"content": "yes i do",
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"timestamp": "01/05/2023 15:13:57",
"content": "but i couldnt solve it for this one",
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"timestamp": "01/05/2023 15:13:58",
"content": "Well what does it imply then?",
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"timestamp": "01/05/2023 15:14:14",
"content": "it implies that i solve x out alone",
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"author_name": "Micaeuni",
"timestamp": "01/05/2023 15:14:32",
"content": "but in this case i didnt manage to free \"x\" alone",
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"timestamp": "01/05/2023 15:15:18",
"content": "You can just replace the x with y in the equation and then isolate",
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"timestamp": "01/05/2023 15:15:27",
"content": "And do show what you did",
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"timestamp": "01/05/2023 15:15:36",
"content": "exactly, thats what the issue i had was",
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"timestamp": "01/05/2023 15:15:50",
"content": "ofcorse",
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"timestamp": "01/05/2023 15:15:55",
"content": "just a sec",
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"author_name": "Mehdi_Moulati",
"timestamp": "01/05/2023 15:17:47",
"content": "hint : complete the square",
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"author_name": "Micaeuni",
"timestamp": "01/05/2023 15:18:01",
"content": "I tried other methods too btw but wrong answer",
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"author_name": "Mehdi_Moulati",
"timestamp": "01/05/2023 15:18:52",
"content": "use this : \n||(x - 2)² = x² - 4x + 4 = <=> **x² - 4x = (x - 2)² - 4**||",
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"timestamp": "01/05/2023 15:20:21",
"content": "tnx, but soon as you gave me the hint i had it",
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"timestamp": "01/05/2023 15:22:46",
"content": "anytime 😉",
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"timestamp": "01/05/2023 15:35:21",
"content": "@Micaeuni Has your question been resolved?",
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"timestamp": "01/05/2023 15:35:31",
"content": "Channel closed",
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}
] |
help-9
|
a8ed81c543fa41329cbc354df0e965f6
|
200,552 |
[
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"timestamp": "01/05/2023 16:17:45",
"content": "Available help channel!",
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"id": 1060669066622279700,
"author_id": 289416489285582850,
"author_name": "Freez",
"timestamp": "01/05/2023 16:20:11",
"content": "hey excuse me is this correct cause my friend and I are having a disagreement",
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"author_name": "light",
"timestamp": "01/05/2023 16:23:21",
"content": "no",
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"content": "thank you",
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"id": 1060669932544729100,
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"content": ".close",
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"content": "Channel closed",
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] |
help-9
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65f2137c0da74675aafd0fb49be3ca08
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200,553 |
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"timestamp": "01/05/2023 16:30:15",
"content": "Available help channel!",
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"id": 1060673003190505600,
"author_id": 835940435527860400,
"author_name": "怀瑾握瑜",
"timestamp": "01/05/2023 16:35:50",
"content": "Anyone know where they get -7",
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"content": "Pinned a message.",
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"id": 1060673338718044200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/05/2023 16:37:10",
"content": "The multiplied the equation by -7",
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"author_name": "怀瑾握瑜",
"timestamp": "01/05/2023 16:37:46",
"content": "Yeah but where does it come from",
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"id": 1060673492200210400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/05/2023 16:37:46",
"content": "To get 7b to cancel the 7b from the equation above",
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"timestamp": "01/05/2023 16:38:43",
"content": "So like how do you know what to cancel it out with or multiply it with",
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"id": 1060674406097104900,
"author_id": 374795910032523260,
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"timestamp": "01/05/2023 16:41:24",
"content": "The goal is to cancel out unknowns one at a time",
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"id": 1060674471310143600,
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"content": "You have the equation 3a+b=9",
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"id": 1060674530961543200,
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"timestamp": "01/05/2023 16:41:54",
"content": "And the equation 5a+7b=31",
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"id": 1060674646707540100,
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"timestamp": "01/05/2023 16:42:22",
"content": "There are several ways to do it, but the way chosen in your book is to cancel out the b",
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"timestamp": "01/05/2023 16:42:38",
"content": "And to do that, you multiply the first equation by -7",
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"timestamp": "01/05/2023 16:42:51",
"content": "That way, the b factor of your first equation is now -7b",
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"timestamp": "01/05/2023 16:43:03",
"content": "So when you add it to the first equation, you get -7b+7b=0",
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"timestamp": "01/05/2023 16:43:05",
"content": "And the b is gone",
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"id": 1060674890912510000,
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"timestamp": "01/05/2023 16:43:20",
"content": "Again that's just one way to do it",
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"timestamp": "01/05/2023 16:43:31",
"content": "You could also have divided by the second equation by -1/7",
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"timestamp": "01/05/2023 16:43:43",
"content": "So that the second equation's b factor is -b",
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"id": 1060675679215169500,
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"author_name": "riemann",
"timestamp": "01/05/2023 16:46:28",
"content": "<https://www.youtube.com/watch?v=T-b9GbfO9Eg> for more examples and practice for you",
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"timestamp": "01/05/2023 16:53:44",
"content": "@怀瑾握瑜 Has your question been resolved?",
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] |
help-9
|
b204ddfdb2524346ad1951bb32bf30f4
|
200,554 |
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"id": 1035248014937309200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 13:46:00",
"content": "Pinned a message.",
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"id": 1035248019685257300,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "10/27/2022 13:46:01",
"content": "Idk how to do these",
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},
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"id": 1035248134059737200,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "10/27/2022 13:46:29",
"content": "Can someone introduce me the basics of this concept",
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},
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"id": 1035248305443196900,
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"author_name": "Snowball",
"timestamp": "10/27/2022 13:47:10",
"content": "Why for #9, is it -infinity",
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},
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"id": 1035248369989341200,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "10/27/2022 13:47:25",
"content": "The y value goes up",
"attachments": [],
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},
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"id": 1035248420539072600,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "10/27/2022 13:47:37",
"content": "As the x value goes down",
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},
{
"id": 1035248470526791800,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "10/27/2022 13:47:49",
"content": "So shouldn’t it be + infinity?",
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},
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"id": 1035252246415425500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 14:02:49",
"content": "@Snowball Has your question been resolved?",
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"id": 1035260108667621400,
"author_id": 348514594064695300,
"author_name": "Intrer",
"timestamp": "10/27/2022 14:34:04",
"content": "so here we have x approaching 3 from the negative side. as it does this, f(x) falls to negative infinity",
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"id": 1035260206139068400,
"author_id": 348514594064695300,
"author_name": "Intrer",
"timestamp": "10/27/2022 14:34:27",
"content": "in contrast if x approaches 3 from the positive side, f(x) rises to positive infinity",
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},
{
"id": 1035260803902885900,
"author_id": 348514594064695300,
"author_name": "Intrer",
"timestamp": "10/27/2022 14:36:49",
"content": "",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1035260803932241980/IMG_3528.jpg",
"fileName": "IMG_3528.jpg",
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"id": 1035261523020480600,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "10/27/2022 14:39:41",
"content": "Thank you!",
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},
{
"id": 1035261531610423400,
"author_id": 755093070311194800,
"author_name": "Snowball",
"timestamp": "10/27/2022 14:39:43",
"content": ".close",
"attachments": [],
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},
{
"id": 1035261534714200000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "10/27/2022 14:39:44",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
89ab5dad8cf646b0b89d06312098f2b0
|
200,555 |
[
{
"id": 1060681535113666700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 17:09:44",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1060682216117641200,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:12:26",
"content": "can someone help me with this question? The catheters in a right triangle are 4.0 cm and 12.0 cm\nCalculate the smallest angle in the triangle.",
"attachments": [],
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},
{
"id": 1060682218273517600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 17:12:27",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1060682274464616400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/05/2023 17:12:40",
"content": ",w catheter",
"attachments": [],
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"reference": null
},
{
"id": 1060682290876915800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/05/2023 17:12:44",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
{
"id": 1060682395675791400,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:13:09",
"content": "i have done 4.0 cm / 12.0 cm = cos",
"attachments": [],
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},
{
"id": 1060682411991633900,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:13:13",
"content": "but idk what to do more",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060682491184300200,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/05/2023 17:13:32",
"content": "What is a catheter?",
"attachments": [],
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"id": 1060682566203609100,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:13:50",
"content": "idk in english let me find another word for it",
"attachments": [],
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"reference": null
},
{
"id": 1060682596255797200,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/05/2023 17:13:57",
"content": "sides?",
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},
{
"id": 1060682601217675300,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/05/2023 17:13:58",
"content": "legs?",
"attachments": [],
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},
{
"id": 1060682654615355400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/05/2023 17:14:11",
"content": "are you given 12cm and 4cm sides are the legs of the right triangle?",
"attachments": [],
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{
"id": 1060682726228906100,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:14:28",
"content": "catheter is the sides of a triangle",
"attachments": [],
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},
{
"id": 1060682759334547600,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:14:36",
"content": "so A,B , C",
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},
{
"id": 1060682776086593500,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/05/2023 17:14:40",
"content": "Do you have a diagram by chance?",
"attachments": [],
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},
{
"id": 1060682802401652700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/05/2023 17:14:46",
"content": "ah okay. in english, we just call that legs",
"attachments": [],
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"reference": null
},
{
"id": 1060682810874151000,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:14:48",
"content": "the question is in letters only",
"attachments": [],
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"reference": null
},
{
"id": 1060682830788694000,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/05/2023 17:14:53",
"content": "Could one of the given sides be the hypotenuse?",
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},
{
"id": 1060682854373273700,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:14:59",
"content": "yes",
"attachments": [],
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"reference": null
},
{
"id": 1060682859213492200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/05/2023 17:15:00",
"content": "https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcR-YJeoSSnnY1lR2WhxArkvLwuLoqzQPLK86Za-DcREtQ&s",
"attachments": [],
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},
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"id": 1060682932462813300,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:15:17",
"content": "is there a program i can show a triangle?",
"attachments": [],
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},
{
"id": 1060682942432686200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/05/2023 17:15:20",
"content": "did you get an angle from this?",
"attachments": [],
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"id": 1060682979350954000,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:15:28",
"content": "it is the top corner",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060683029405777900,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:15:40",
"content": "the hyptoenuse is 12 cm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060683043637051500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/05/2023 17:15:44",
"content": "i just google image search a close enough image and copy the .png / .jpg url here",
"attachments": [],
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},
{
"id": 1060683052038238300,
"author_id": 889247345424859100,
"author_name": "Rahaan",
"timestamp": "01/05/2023 17:15:46",
"content": "Guys i need a tutor im in y9 who gonna choose it buisness and computer science and maybe french i also need help of maths please for free dm me would be highly appreciated",
"attachments": [],
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},
{
"id": 1060683084594434200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/05/2023 17:15:53",
"content": "!help",
"attachments": [],
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"name": "Rahaan",
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"nickname": "Rahaan",
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}
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},
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"id": 1060683085622030500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 17:15:54",
"content": "Please read #❓how-to-get-help",
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},
{
"id": 1060683121936306200,
"author_id": 889247345424859100,
"author_name": "Rahaan",
"timestamp": "01/05/2023 17:16:02",
"content": "Not this",
"attachments": [],
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"id": 1060683122317983700,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:16:02",
"content": "ok from the picture u send",
"attachments": [],
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},
{
"id": 1060683146045177900,
"author_id": 889247345424859100,
"author_name": "Rahaan",
"timestamp": "01/05/2023 17:16:08",
"content": "That aint gonna tell me nothing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060683155171979400,
"author_id": 889247345424859100,
"author_name": "Rahaan",
"timestamp": "01/05/2023 17:16:10",
"content": "I need a thtor",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060683163275378800,
"author_id": 889247345424859100,
"author_name": "Rahaan",
"timestamp": "01/05/2023 17:16:12",
"content": "Tutor",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060683186658615300,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:16:18",
"content": "the C is 12.0 cm and the A is 4.0 cm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060683193113649300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/05/2023 17:16:19",
"content": "go ask anywhere else. this is papp's channel",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060683229046251500,
"author_id": 889247345424859100,
"author_name": "Rahaan",
"timestamp": "01/05/2023 17:16:28",
"content": "Lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060683246079332400,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:16:32",
"content": "C is 12.0 cm and A is 4.0 cm",
"attachments": [],
"mentions": [
{
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"discriminator": "2529",
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],
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},
{
"id": 1060683335971655800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/05/2023 17:16:53",
"content": "right",
"attachments": [],
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},
{
"id": 1060683337141866600,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:16:54",
"content": "so the top corner is cos",
"attachments": [],
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},
{
"id": 1060683428598653000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/05/2023 17:17:15",
"content": "do you know the angle?",
"attachments": [],
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},
{
"id": 1060683441261264900,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:17:18",
"content": "no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060683459376451700,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:17:23",
"content": "i need to get to the angle",
"attachments": [],
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"reference": null
},
{
"id": 1060683504834314400,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:17:34",
"content": "the question is what angle is the biggest",
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},
{
"id": 1060683518360944800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/05/2023 17:17:37",
"content": "$\\cos(B) = \\frac{a}{c} = \\frac{4}{12}$",
"attachments": [],
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},
{
"id": 1060683526728589400,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/05/2023 17:17:39",
"content": "There seem to be two possible outcomes",
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},
{
"id": 1060683527387091100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/05/2023 17:17:39",
"content": "**riemann**",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1060683527114465290/261933205387477002.png",
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"timestamp": "01/05/2023 17:17:42",
"content": "",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1060683539538002011/image.png",
"fileName": "image.png",
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{
"id": 1060683557783208100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/05/2023 17:17:46",
"content": "you need a calculator to find B",
"attachments": [],
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},
{
"id": 1060683581376188500,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:17:52",
"content": "yes i have done 4/12 already",
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},
{
"id": 1060683583787905200,
"author_id": 374795910032523260,
"author_name": "SWR",
"timestamp": "01/05/2023 17:17:52",
"content": "Either BE=12 or AC=12",
"attachments": [],
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"reference": null
},
{
"id": 1060683607829643300,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:17:58",
"content": "but how do i get the degree of the angle?",
"attachments": [],
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},
{
"id": 1060683829821587500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/05/2023 17:18:51",
"content": "you need a calculator",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060683874448986100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/05/2023 17:19:02",
"content": ",calc acos(4/12) * 180 / pi",
"attachments": [],
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},
{
"id": 1060683923593637900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/05/2023 17:19:13",
"content": "Result:\n```\n70.528779365509\n```",
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},
{
"id": 1060684008922566700,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:19:34",
"content": "and there is sin(a) that is 4/12",
"attachments": [],
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},
{
"id": 1060684035686404200,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:19:40",
"content": "so are they the same?",
"attachments": [],
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},
{
"id": 1060684100513562800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/05/2023 17:19:56",
"content": "A is a different angle from B",
"attachments": [],
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},
{
"id": 1060684124471439500,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:20:01",
"content": "yes",
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},
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"id": 1060684126799278100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/05/2023 17:20:02",
"content": "A+B = 90deg",
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},
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"id": 1060684156478173200,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:20:09",
"content": "yes",
"attachments": [],
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},
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"id": 1060684168989786200,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:20:12",
"content": "oooooh",
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},
{
"id": 1060684182117945500,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:20:15",
"content": "u think like that",
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},
{
"id": 1060684192981205000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "01/05/2023 17:20:18",
"content": "so if you have B, you can use that to get A",
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},
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"id": 1060684213801726100,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:20:23",
"content": "u smart",
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},
{
"id": 1060684257133068400,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:20:33",
"content": "so its 90-70.528...",
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},
{
"id": 1060684272391946400,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:20:37",
"content": "and that is A",
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},
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"id": 1060684706947022800,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:22:20",
"content": "@riemann thank u for the help ❤️",
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"id": 1060685313661481000,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:24:45",
"content": "i could need more help now",
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},
{
"id": 1060685527210279000,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:25:36",
"content": "v = 8,0 l.e. then what is u + v?",
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"author_name": "Relix",
"timestamp": "01/05/2023 17:26:06",
"content": "@riemann can u help me again pls",
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"author_name": "Modus",
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"timestamp": "01/05/2023 17:26:43",
"content": "yes ik this but what is l.e.?",
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},
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"id": 1060685935064387600,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:27:13",
"content": "if v is 8,0 l.e. then what is u",
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"id": 1060686352557023200,
"author_id": 902635694260912300,
"author_name": "Relix",
"timestamp": "01/05/2023 17:28:53",
"content": ".close",
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},
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"id": 1060686355845357600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 17:28:53",
"content": "Channel closed",
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}
] |
help-9
|
5d9709ed5dbb4be0b4d4c661d8dcc09a
|
200,556 |
[
{
"id": 1060686607147089900,
"author_id": 805217272087838700,
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"timestamp": "01/05/2023 17:29:53",
"content": "Available help channel!",
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},
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"id": 1060692694659252400,
"author_id": 766892333303070700,
"author_name": "dwaekki",
"timestamp": "01/05/2023 17:54:05",
"content": "Can someone explain me this b(i)?",
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},
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"timestamp": "01/05/2023 17:55:11",
"content": "I know why should A be like that, but how did it become 100-5x+(x/4)2 after?",
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"timestamp": "01/05/2023 17:56:57",
"content": "They calculated that binome?\nfirst divide the 40 and -x by 4, then square",
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"timestamp": "01/05/2023 17:58:03",
"content": "But shouldnt it become 100-(x/16)2?",
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"content": "I dont understand why theres is a -5x :childe_cry:",
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"author_name": "Jigglyproff",
"timestamp": "01/05/2023 17:58:33",
"content": "thats not how binomes work?",
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"timestamp": "01/05/2023 17:58:49",
"content": "Ohhh",
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"author_name": "Jigglyproff",
"timestamp": "01/05/2023 17:58:52",
"content": "$(a-b)^2=a^2-2ab+b^2$",
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"id": 1060693907966541800,
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"author_name": "TeXit",
"timestamp": "01/05/2023 17:58:54",
"content": "**Jigglyproff**",
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"timestamp": "01/05/2023 17:59:08",
"content": "that should be the second binomal?",
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"timestamp": "01/05/2023 17:59:20",
"content": "where a is 10 and b is x/4",
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"author_name": "Jigglyproff",
"timestamp": "01/05/2023 17:59:38",
"content": "so the -5 is the result of $-2\\cdot 10 \\cdot \\frac{x}{4}$",
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"author_name": "dwaekki",
"timestamp": "01/05/2023 17:59:50",
"content": "Oh thank you, I get it now.",
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"timestamp": "01/05/2023 18:00:11",
"content": "**Jigglyproff**",
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"timestamp": "01/05/2023 18:00:22",
"content": ".close",
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"id": 1060694282249441300,
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"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 18:00:23",
"content": "Channel closed",
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] |
help-9
|
d3233496f5f54b13bc96b898cdc8de39
|
200,557 |
[
{
"id": 1060695223052795900,
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"timestamp": "01/05/2023 18:04:07",
"content": "Available help channel!",
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},
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"id": 1060699077278453900,
"author_id": 563323926365863940,
"author_name": "tls123",
"timestamp": "01/05/2023 18:19:26",
"content": "Can someone help me with something ?",
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},
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"id": 1060699079602098200,
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"content": "Pinned a message.",
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"content": "I dont know how to do that ..",
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"id": 1060699457932513300,
"author_id": 264901235834880000,
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"timestamp": "01/05/2023 18:20:57",
"content": "is it",
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"content": "**Modus**",
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"timestamp": "01/05/2023 18:21:14",
"content": "?",
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"id": 1060699580469092400,
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"author_name": "tls123",
"timestamp": "01/05/2023 18:21:26",
"content": "Yeah",
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"id": 1060699604515033100,
"author_id": 1006299098984493200,
"author_name": "the guy who asked",
"timestamp": "01/05/2023 18:21:32",
"content": "well i thing you can already do is bring the -1/15 to the other side",
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"id": 1060699851618271200,
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"timestamp": "01/05/2023 18:22:31",
"content": "Oh ok",
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"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 18:37:31",
"content": "@tls123 Has your question been resolved?",
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"timestamp": "01/05/2023 18:52:32",
"content": "Channel closed",
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}
] |
help-9
|
5ce28ed30e734790930bb6c6618df71e
|
200,558 |
[
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"timestamp": "01/05/2023 18:53:32",
"content": "Available help channel!",
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},
{
"id": 1060708016711815300,
"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 18:54:58",
"content": "how do i do this?",
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"content": ",rccw",
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"timestamp": "01/05/2023 18:55:41",
"content": "ignore the (1) gi = hi thing on bottom of figure",
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"timestamp": "01/05/2023 18:56:53",
"content": "hello?",
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"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 18:59:16",
"content": ".close",
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"id": 1060709102759727100,
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"content": "Channel closed",
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}
] |
help-9
|
7ea5ed55cbce4888bef06dcff9ff9389
|
200,559 |
[
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"content": "Available help channel!",
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},
{
"id": 1060713978906554400,
"author_id": 673726599299858400,
"author_name": "Dinoclasher",
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"author_id": 673726599299858400,
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"timestamp": "01/05/2023 19:18:48",
"content": "for 6a would it be",
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"author_id": 673726599299858400,
"author_name": "Dinoclasher",
"timestamp": "01/05/2023 19:19:35",
"content": "its rate of change at zero is zero and then positive decreasing then negative increasing then negative decreasing?",
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"author_id": 673726599299858400,
"author_name": "Dinoclasher",
"timestamp": "01/05/2023 19:19:39",
"content": "and 6a",
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},
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"author_id": 673726599299858400,
"author_name": "Dinoclasher",
"timestamp": "01/05/2023 19:20:06",
"content": "I think you have to convert the 1 hour to 60 minutes to use the equation",
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},
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"id": 1060714406377443300,
"author_id": 673726599299858400,
"author_name": "Dinoclasher",
"timestamp": "01/05/2023 19:20:21",
"content": "and then get",
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"timestamp": "01/05/2023 19:20:32",
"content": "so they would be endanger",
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"id": 1060714467161292800,
"author_id": 673726599299858400,
"author_name": "Dinoclasher",
"timestamp": "01/05/2023 19:20:36",
"content": "is this right ?",
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},
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"author_id": 741823940061561000,
"author_name": "FinnaganFox",
"timestamp": "01/05/2023 19:21:04",
"content": "you forgot to include the 1 after the 0.0",
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},
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"id": 1060714735139573800,
"author_id": 673726599299858400,
"author_name": "Dinoclasher",
"timestamp": "01/05/2023 19:21:39",
"content": "for 6a?",
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"author_name": "FinnaganFox",
"timestamp": "01/05/2023 19:21:57",
"content": "for when you put it into the calculator",
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},
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"id": 1060715031311962200,
"author_id": 741823940061561000,
"author_name": "FinnaganFox",
"timestamp": "01/05/2023 19:22:50",
"content": "you put 0.0(60) instead of 0.01(60)",
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},
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"id": 1060715062983147500,
"author_id": 673726599299858400,
"author_name": "Dinoclasher",
"timestamp": "01/05/2023 19:22:58",
"content": "ohhh",
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},
{
"id": 1060715070130241500,
"author_id": 673726599299858400,
"author_name": "Dinoclasher",
"timestamp": "01/05/2023 19:22:59",
"content": "i see",
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},
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"author_id": 673726599299858400,
"author_name": "Dinoclasher",
"timestamp": "01/05/2023 19:23:02",
"content": "lol ty brp",
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},
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"id": 1060715194319380500,
"author_id": 673726599299858400,
"author_name": "Dinoclasher",
"timestamp": "01/05/2023 19:23:29",
"content": "oh so they chillin for the second question",
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},
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"id": 1060715200342409300,
"author_id": 673726599299858400,
"author_name": "Dinoclasher",
"timestamp": "01/05/2023 19:23:30",
"content": "",
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"id": 1060715203135811600,
"author_id": 673726599299858400,
"author_name": "Dinoclasher",
"timestamp": "01/05/2023 19:23:31",
"content": "lol",
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},
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"id": 1060715212149366800,
"author_id": 741823940061561000,
"author_name": "FinnaganFox",
"timestamp": "01/05/2023 19:23:33",
"content": "yeaa",
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},
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"id": 1060715229102735500,
"author_id": 741823940061561000,
"author_name": "FinnaganFox",
"timestamp": "01/05/2023 19:23:37",
"content": "lol",
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},
{
"id": 1060715304751202300,
"author_id": 673726599299858400,
"author_name": "Dinoclasher",
"timestamp": "01/05/2023 19:23:55",
"content": "would by first part make sense of how i described the graph",
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},
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"id": 1060715332588814300,
"author_id": 673726599299858400,
"author_name": "Dinoclasher",
"timestamp": "01/05/2023 19:24:02",
"content": "im not sure i learnt it right",
"attachments": [],
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},
{
"id": 1060715373776875600,
"author_id": 673726599299858400,
"author_name": "Dinoclasher",
"timestamp": "01/05/2023 19:24:12",
"content": "but thats what i think it is",
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},
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"id": 1060718843913322600,
"author_id": 673726599299858400,
"author_name": "Dinoclasher",
"timestamp": "01/05/2023 19:37:59",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1060718846509596700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 19:38:00",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
48d0260dafd5426baa38650af11d9b61
|
200,560 |
[
{
"id": 1060719099338031200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 19:39:00",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060719884645978100,
"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 19:42:07",
"content": "can someone show me a step by step guide?",
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"id": 1060719887762337800,
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"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 19:42:08",
"content": "Pinned a message.",
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"id": 1060719903503548500,
"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 19:42:12",
"content": ",rccw",
"attachments": [],
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"reference": null
},
{
"id": 1060719907047755800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/05/2023 19:42:13",
"content": "",
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"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 19:42:33",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 1060720199038406700,
"author_id": 856447591834976300,
"author_name": "Ryuzaki",
"timestamp": "01/05/2023 19:43:22",
"content": "don't instaping helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060720242017435800,
"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 19:43:32",
"content": "whats that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060720267913081000,
"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 19:43:39",
"content": "oh nvm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060720283780120600,
"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 19:43:42",
"content": "i had one before",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060720317879828500,
"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 19:43:51",
"content": "but someone took it by posting their own here",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060720350897373200,
"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 19:43:58",
"content": "there*",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060720367519400100,
"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 19:44:02",
"content": "so i made a new one",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060720392022540400,
"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 19:44:08",
"content": "it was actually over 15 min ago",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060720554367267000,
"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 19:44:47",
"content": "hello maths :D its you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060720593613357000,
"author_id": 1017134059765387300,
"author_name": "dy/dx+P(x)y=Q(x)y⚡⚡",
"timestamp": "01/05/2023 19:44:56",
"content": "Ok let me try this",
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"id": 1060721963905073300,
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"author_name": "dy/dx+P(x)y=Q(x)y⚡⚡",
"timestamp": "01/05/2023 19:50:23",
"content": "The answer i got is \n(x,y) = ( -4,5) is that the answer?",
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"id": 1060722012097613800,
"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 19:50:34",
"content": "idk",
"attachments": [],
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},
{
"id": 1060722043584258000,
"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 19:50:42",
"content": "im just trying to do my hw lo",
"attachments": [],
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"reference": null
},
{
"id": 1060722046633517200,
"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 19:50:43",
"content": "l",
"attachments": [],
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"reference": null
},
{
"id": 1060722054611087500,
"author_id": 1017134059765387300,
"author_name": "dy/dx+P(x)y=Q(x)y⚡⚡",
"timestamp": "01/05/2023 19:50:45",
"content": "That should be the answer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060722083878936700,
"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 19:50:52",
"content": "can you explain",
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},
{
"id": 1060722094985445400,
"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 19:50:54",
"content": "like with the work",
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},
{
"id": 1060722135993167900,
"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 19:51:04",
"content": "cause i want to understand it too",
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},
{
"id": 1060722237780525200,
"author_id": 1017134059765387300,
"author_name": "dy/dx+P(x)y=Q(x)y⚡⚡",
"timestamp": "01/05/2023 19:51:28",
"content": "It Has a rule tho",
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},
{
"id": 1060722761758146600,
"author_id": 1017134059765387300,
"author_name": "dy/dx+P(x)y=Q(x)y⚡⚡",
"timestamp": "01/05/2023 19:53:33",
"content": "x = px2 + qx1/ p + q\ny = py2 + qy1 / p+ q\nThe p and q are the ratio 1 and 2. I would have love to explain better but I will Aslo prove this formula above which can't work right now cause am quite busy but just take not of the rule",
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"id": 1060723219180552300,
"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 19:55:22",
"content": "ok",
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},
{
"id": 1060725277833052300,
"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 20:03:33",
"content": "@dy/dx+P(x)y=Q(x)y⚡⚡ I got (4,11)",
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"author_name": "dy/dx+P(x)y=Q(x)y⚡⚡",
"timestamp": "01/05/2023 20:04:50",
"content": "Check it again it not correct",
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},
{
"id": 1060725731740622800,
"author_id": 1017134059765387300,
"author_name": "dy/dx+P(x)y=Q(x)y⚡⚡",
"timestamp": "01/05/2023 20:05:21",
"content": "This should be the answer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060726453643251800,
"author_id": 1017134059765387300,
"author_name": "dy/dx+P(x)y=Q(x)y⚡⚡",
"timestamp": "01/05/2023 20:08:13",
"content": "This should be the answer @yor compoter hav virus",
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"id": 1060729053671346300,
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"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 20:18:33",
"content": "@yor compoter hav virus Has your question been resolved?",
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"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 20:20:22",
"content": "stil idk",
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},
{
"id": 1060729528244248700,
"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 20:20:26",
"content": "imma ask others okay?",
"attachments": [],
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"reference": null
},
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"id": 1060729693369811100,
"author_id": 871840897980072000,
"author_name": "yor compoter hav virus",
"timestamp": "01/05/2023 20:21:06",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060729697236955300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 20:21:07",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
24c5e926db924a3dbd6f5183c2ec253d
|
200,561 |
[
{
"id": 1060729948396073000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 20:22:07",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060732928608436200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 20:33:57",
"content": "hey guys could you help me out with this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060732931422826500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 20:33:58",
"content": "Pinned a message.",
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}
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{
"id": 1060732950276214900,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 20:34:02",
"content": "",
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"id": 1060733009818570800,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 20:34:17",
"content": "as per my working I got x<1 and x>-15",
"attachments": [],
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},
{
"id": 1060733083072086000,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 20:34:34",
"content": "although it says my answer is incorrect",
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},
{
"id": 1060733170825302000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "01/05/2023 20:34:55",
"content": "Show your work",
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"reference": null
},
{
"id": 1060733733294055400,
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"author_name": "Lex1729",
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"timestamp": "01/05/2023 20:38:25",
"content": "You also need to consider when each equation is valid",
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"content": "Like, the first half only applies when 3x + 13 ≥ 0",
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"content": "True",
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"timestamp": "01/05/2023 20:39:17",
"content": "So then what would I need to change?",
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"timestamp": "01/05/2023 20:40:40",
"content": "Well, when is 3x + 13 ≥ 0?",
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"timestamp": "01/05/2023 20:41:47",
"content": "When x > -13/3",
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"timestamp": "01/05/2023 20:42:11",
"content": "So x > -15 and x ≥ -13/2 for the first part",
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"timestamp": "01/05/2023 20:42:19",
"content": "What do you get when you combine those inequalities?",
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"timestamp": "01/05/2023 20:42:51",
"content": "How do I combine the inequalities?",
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"timestamp": "01/05/2023 20:43:18",
"content": "On what interval is x both greater than -15 and greater than/equal to -13/2 at the same time?",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 20:44:21",
"content": "You want to solve this equation with absolute value?",
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"timestamp": "01/05/2023 20:45:04",
"content": "And number greater than the -13/2?",
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"timestamp": "01/05/2023 20:45:13",
"content": "Wdym?",
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"author_name": "Lex1729",
"timestamp": "01/05/2023 20:45:36",
"content": "There isn’t a value that suits it",
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"author_name": "Lex1729",
"timestamp": "01/05/2023 20:45:50",
"content": "Unless it is -13/2 itself right?",
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"timestamp": "01/05/2023 20:46:09",
"content": "Draw the inequalities on a number line if you have to",
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"timestamp": "01/05/2023 20:46:13",
"content": "See where they intersect",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 20:46:24",
"content": "Your answer is wrong?",
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"author_name": "Lex1729",
"timestamp": "01/05/2023 20:47:13",
"content": "I have one question though, why is x<1 wrong?",
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"timestamp": "01/05/2023 20:47:41",
"content": "Similarly, that's only true when 3x + 13 ≤ 0",
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"timestamp": "01/05/2023 20:47:55",
"content": "So you'll need to solve that inequality and combine it with x < 1",
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"timestamp": "01/05/2023 20:48:26",
"content": "Aha!I got it",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 20:48:32",
"content": "so",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 20:48:55",
"content": "when x≤0,|x|=-x",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 20:49:34",
"content": "which means",
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"timestamp": "01/05/2023 20:49:43",
"content": "if 3x+13≤0",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 20:50:05",
"content": "x≤-13/3",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 20:50:30",
"content": "you can take off the |3x+13| and get -3x-13",
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"author_name": "Lex1729",
"timestamp": "01/05/2023 20:52:11",
"content": "So is this correct?",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 20:52:44",
"content": "but wait",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 20:52:56",
"content": "the answer is all real x?",
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"timestamp": "01/05/2023 20:53:04",
"content": "Yes",
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"timestamp": "01/05/2023 20:53:32",
"content": "So what interval do they intersect",
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"author_name": "Lex1729",
"timestamp": "01/05/2023 20:53:57",
"content": "Well they intersect at x>=-4.33",
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"timestamp": "01/05/2023 20:54:36",
"content": "Yes",
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"timestamp": "01/05/2023 20:54:54",
"content": "So the entire left interval is x ≥ -13/3",
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"timestamp": "01/05/2023 20:55:08",
"content": "Now for the other part of the inequality",
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"timestamp": "01/05/2023 20:55:25",
"content": "You have x < 1",
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"author_name": "Gamer Dio",
"timestamp": "01/05/2023 20:55:42",
"content": "But you also need to consider 3x + 13 ≤ 0",
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"timestamp": "01/05/2023 20:55:54",
"content": "Oh ok",
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"author_name": "Lex1729",
"timestamp": "01/05/2023 20:56:05",
"content": "Btw does this apply with all inequality questions like this?",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 20:56:20",
"content": "I have another way,I want to have a try....",
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"author_name": "Lex1729",
"timestamp": "01/05/2023 20:56:26",
"content": "Do I always have to consider it being less than zero",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 20:56:50",
"content": "what if we discuss thing on the right side?",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 20:57:30",
"content": "when x<17,x-17<0,however,|3x+13|always ≥0",
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"timestamp": "01/05/2023 20:57:34",
"content": "In all absolute value equations, you need to consider the bounds of each side to avoid extraneous solutions, yes",
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"timestamp": "01/05/2023 20:57:51",
"content": "Oh ok",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 20:57:59",
"content": "so,for each x which <17",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 20:58:05",
"content": "it was right",
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"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 20:58:17",
"content": "what if x≥17?",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 20:58:29",
"content": "you can get",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 20:58:42",
"content": "3x+13>x-17",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 20:58:53",
"content": "x>-15",
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{
"id": 1060739267611074700,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 20:59:08",
"content": "it is also corect",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 20:59:33",
"content": "so we have considered x<17andx≥17，it was all correct",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 20:59:39",
"content": "so the answer is all real x",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:00:09",
"content": "um",
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"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:00:14",
"content": "is it clear？",
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"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:00:21",
"content": "I’m still a bit confused",
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"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:02:04",
"content": "y?",
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"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:02:33",
"content": "Is there an easier less mechanical way to do this",
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"id": 1060740146930139300,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:02:38",
"content": "Like a formula or something",
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"id": 1060740168459493500,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:02:43",
"content": "no",
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"id": 1060740393764921300,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:03:37",
"content": "|x|=x(x≥0) |x|=-x(x≤0)",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:03:41",
"content": "that's all",
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"timestamp": "01/05/2023 21:03:41",
"content": "There's just solving the inequality normally like I proposed",
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"author_name": "Lex1729",
"timestamp": "01/05/2023 21:05:02",
"content": "Can we go through it a bit more slowly?",
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"timestamp": "01/05/2023 21:05:13",
"content": "Cause I think I’m getting a bit lost",
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"timestamp": "01/05/2023 21:05:42",
"content": "Do you understand how we got x ≥ -13/3 in the first half",
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"timestamp": "01/05/2023 21:06:09",
"content": "Not really",
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"author_name": "Lex1729",
"timestamp": "01/05/2023 21:07:08",
"content": "Well I understand how we got it but I don’t understand why we had to find a value that met those constraints",
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"timestamp": "01/05/2023 21:07:58",
"content": "The way you found x > -15 was by replacing |3x + 13| with 3x + 13, right?",
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"author_name": "Gamer Dio",
"timestamp": "01/05/2023 21:08:17",
"content": "But |3x + 13| = 3x + 13 _only if_ 3x + 13 ≥ 0",
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"timestamp": "01/05/2023 21:08:54",
"content": "Oh ok",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "01/05/2023 21:09:41",
"content": "Similarly for the second part: |3x + 13| = -(3x + 13) _only if_ 3x + 13 ≤ 0",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:10:05",
"content": "yep",
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"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:10:19",
"content": "Is it less than zero because we had to divide by a negative number?",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:10:20",
"content": "I think you explain it better than me",
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"timestamp": "01/05/2023 21:10:30",
"content": "no",
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"author_name": "Lex1729",
"timestamp": "01/05/2023 21:10:30",
"content": "Hence the inequality sign flipped",
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"id": 1060742182375534600,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:10:43",
"content": "have some example",
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"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:10:46",
"content": "like",
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"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:10:54",
"content": "|2|=2",
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"timestamp": "01/05/2023 21:11:00",
"content": "|-2|=2",
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"id": 1060742539495342200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:12:09",
"content": "But whey did the inequality sign flip?",
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"id": 1060742640980738200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:12:33",
"content": "For the second part",
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"timestamp": "01/05/2023 21:12:39",
"content": "umm",
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"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:12:51",
"content": "let me think about it(how to explain it",
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"id": 1060742813861544000,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:13:14",
"content": "um",
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"id": 1060742831641215000,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:13:18",
"content": "it's actually not",
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"id": 1060742844979089500,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:13:21",
"content": "flip",
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{
"id": 1060742896455798900,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:13:34",
"content": "we can write it in another way",
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"id": 1060742950193209500,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "01/05/2023 21:13:46",
"content": "|f(x)| = -f(x) when f(x) ≤ 0",
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"author_name": "Gamer Dio",
"timestamp": "01/05/2023 21:13:56",
"content": "That's part of the definition of absolute value",
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:14:05",
"content": "we are just discuss",
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"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:14:12",
"content": "the value of fx",
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{
"id": 1060743252694814700,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:14:59",
"content": "we have x≥0 and x≤0,but the answer of them are different",
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"id": 1060743302011437200,
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"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:15:10",
"content": "it's not",
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"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:15:18",
"content": "flip the inequality sign",
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"id": 1060743703238553700,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:16:46",
"content": "when f(x) ≤ 0,|f(x)| = -f(x)",
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"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:16:47",
"content": "Hmm well I’m used to flipping the inequality sign when dividing by a negative number",
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{
"id": 1060743771542790100,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:17:02",
"content": "when f(x) ≥0,|f(x)| = f(x)",
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"id": 1060743804761686100,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:17:10",
"content": "write in another way",
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"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:17:18",
"content": "I think that you'll get it",
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"id": 1060744103379341300,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:18:21",
"content": "f(x) <= 0",
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"id": 1060744667764895900,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:20:36",
"content": "don't really get it",
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"id": 1060744741223940200,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:20:53",
"content": "ummmmmmmm",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "01/05/2023 21:21:52",
"content": "What's confusing you",
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"id": 1060745000675192800,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:21:55",
"content": "try to understand it in geometric meaning?",
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"id": 1060745105113354400,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:22:20",
"content": "I just don’t understand the aspect of absolute values in inequalities",
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"id": 1060745172763295700,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:22:36",
"content": "Inequalities I understand but just the advanced types of inequalities I really don’t",
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{
"id": 1060745215272554500,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "01/05/2023 21:22:47",
"content": "|x| is defined so that it's x when x ≥ 0, and -x when x ≤ 0",
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"id": 1060745268531835000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "01/05/2023 21:22:59",
"content": "If you're setting |x| to x, you're implicitly assuming x ≥ 0",
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"id": 1060745334881530000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "01/05/2023 21:23:15",
"content": "If you're setting |x| to -x, you're implicitly assuming x ≤ 0",
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"id": 1060745380129669200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:23:26",
"content": "Ok so |x| is just x",
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"id": 1060745446659727500,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:23:42",
"content": "Since there can’t be negative absolute values right?",
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{
"id": 1060745462468063200,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "01/05/2023 21:23:45",
"content": "|x| is only x when x ≥ 0",
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"id": 1060745488812486700,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:23:52",
"content": "Oh ok",
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{
"id": 1060745534186467500,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "01/05/2023 21:24:03",
"content": "Otherwise it's -x",
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"id": 1060745614545125400,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:24:22",
"content": "um I think he confuse the x(simple times) and the x in the question?",
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"id": 1060745858666209400,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:25:20",
"content": "So -x is",
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"id": 1060745910444888200,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:25:32",
"content": "x<=0",
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"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:25:49",
"content": "yep",
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"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:26:06",
"content": "So then how do I apply this in my question?",
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{
"id": 1060746054884143200,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:26:07",
"content": "when x <=0,|x|=-x",
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{
"id": 1060746229673361500,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:26:48",
"content": "when |3x+13|<=0,|3x+13|=-3x-13",
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},
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"id": 1060746268525220000,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "01/05/2023 21:26:58",
"content": "-(3x + 13)",
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},
{
"id": 1060746349164900400,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:27:17",
"content": "Oh I see",
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},
{
"id": 1060746445197676700,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:27:40",
"content": "we said |x| this x means everything",
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{
"id": 1060746860920328300,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:29:19",
"content": "So |3x+13| > x-17 = 3x+13 >x-17 only if x>0",
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"id": 1060746954717536400,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:29:41",
"content": "no",
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"id": 1060746970538442800,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "01/05/2023 21:29:45",
"content": "Only if 3x + 13 ≥ 0",
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},
{
"id": 1060746981783376000,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:29:48",
"content": "when 3x+13>=0",
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},
{
"id": 1060747039966756900,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:30:02",
"content": "Oh ok",
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},
{
"id": 1060747139589869700,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:30:25",
"content": "first",
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{
"id": 1060747149761069000,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:30:28",
"content": "solve this",
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},
{
"id": 1060747191469219800,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:30:38",
"content": "3x+13>=0",
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},
{
"id": 1060747284662456400,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:31:00",
"content": "what will you get",
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},
{
"id": 1060747313309556900,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:31:07",
"content": "just solve it",
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},
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"id": 1060747391604641900,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:31:25",
"content": "-13/3",
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},
{
"id": 1060747431031087200,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:31:35",
"content": "x>=-13/3",
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},
{
"id": 1060747438337568800,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:31:37",
"content": "yes",
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},
{
"id": 1060747449221775400,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:31:39",
"content": "Yes",
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},
{
"id": 1060747504649502700,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:31:52",
"content": "3x+13 >x-17",
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},
{
"id": 1060747511628845000,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:31:54",
"content": "then this",
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},
{
"id": 1060747641996202000,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:32:25",
"content": "x>-15",
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},
{
"id": 1060747766390857700,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:32:55",
"content": "x>-15,x>=-13/3",
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},
{
"id": 1060747800301817900,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:33:03",
"content": "what's the final answer in this case",
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},
{
"id": 1060748022042067100,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:33:56",
"content": "hello?",
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},
{
"id": 1060748104871198700,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:34:15",
"content": "x>=-13/3",
"attachments": [],
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"reference": null
},
{
"id": 1060748192041418900,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:34:36",
"content": "great",
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},
{
"id": 1060748226925432800,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:34:45",
"content": "then,what about",
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},
{
"id": 1060748329669120000,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:35:09",
"content": "3x+13<=0,so|3x+13|=-3x-13",
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},
{
"id": 1060748412875706500,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:35:29",
"content": "so -3x-13<x-17",
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},
{
"id": 1060748447017357400,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:35:37",
"content": "3x+13<=0 solve this first",
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},
{
"id": 1060748599580971000,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:36:13",
"content": "But why is it x+17?",
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},
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"id": 1060748668518551700,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:36:30",
"content": "e",
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},
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"id": 1060748674101162000,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:36:31",
"content": "sowwy",
"attachments": [],
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},
{
"id": 1060748681340530800,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:36:33",
"content": "x-17",
"attachments": [],
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},
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"id": 1060748737590329500,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:36:46",
"content": "3x+13<=0 solve this first",
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},
{
"id": 1060748769030848500,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:36:54",
"content": "just do it first",
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},
{
"id": 1060748786990854100,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:36:58",
"content": "Ok",
"attachments": [],
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},
{
"id": 1060748865545978000,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:37:17",
"content": "Same answer",
"attachments": [],
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},
{
"id": 1060748910760562700,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:37:28",
"content": "Except x<= -13/3",
"attachments": [],
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},
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"id": 1060748978469224600,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:37:44",
"content": "x<=-13\\3.right?",
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},
{
"id": 1060749023243415600,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:37:54",
"content": "Yes",
"attachments": [],
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},
{
"id": 1060749064964165800,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:38:04",
"content": "-3x-13<x-17 then,do this",
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},
{
"id": 1060749249895211100,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:38:48",
"content": "x<1",
"attachments": [],
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},
{
"id": 1060749323031294100,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:39:06",
"content": "now you have x<=-13\\3 and x<1",
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},
{
"id": 1060749362264817700,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:39:15",
"content": "what the final answer in this case",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060749734920323200,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:40:44",
"content": "?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060749850364358700,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:41:12",
"content": "x<=-4.33",
"attachments": [],
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},
{
"id": 1060749879745445900,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:41:19",
"content": "yep",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060749917431267500,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:41:28",
"content": "x<=-13/3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060749930307784800,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:41:31",
"content": "so",
"attachments": [],
"mentions": [],
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},
{
"id": 1060750109551362000,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:42:13",
"content": "In cases like 3x+13≥0,we have x >= -13/3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060750216841662500,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:42:39",
"content": "In cases like 3x+13≤0,we have x <=-13/3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060750321095286800,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:43:04",
"content": "x >=-13/3 ***or*** x<=-13/3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060750379563896800,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:43:18",
"content": "so what can x can we have",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060750397117038700,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:43:22",
"content": "all real x",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060750616500129800,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:44:14",
"content": "Hmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060750684519149600,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:44:30",
"content": "get it?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060750812843876400,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:45:01",
"content": "Yes I get it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060750844649295900,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:45:09",
"content": "hooray!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060750859132211200,
"author_id": 1056431120251625500,
"author_name": "Wenyan_Keith",
"timestamp": "01/05/2023 21:45:12",
"content": "you won!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060750914002104300,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:45:25",
"content": "Hahaha thanks for helping me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060751050090479700,
"author_id": 655168192335052800,
"author_name": "Lex1729",
"timestamp": "01/05/2023 21:45:58",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060751053311721500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 21:45:58",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
17024ed10e45450c8cbd657aed1546df
|
200,562 |
[
{
"id": 1060757558144532500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 22:11:49",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060759180996259800,
"author_id": 821589919792758800,
"author_name": "Squid",
"timestamp": "01/05/2023 22:18:16",
"content": "i need help with linear proportions, i need to solve for x, \n4x+4/4 = x-5/3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060759183303114900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 22:18:17",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
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"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1060759330573516800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/05/2023 22:18:52",
"content": "$4x + \\frac44 = x - \\frac53$?",
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"mentions": [],
"reference": null
},
{
"id": 1060759342476972000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "01/05/2023 22:18:55",
"content": "**ℝamonov**",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1060759342393069609/220517274845577216.png",
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},
{
"id": 1060759482432487600,
"author_id": 821589919792758800,
"author_name": "Squid",
"timestamp": "01/05/2023 22:19:28",
"content": "no the 4x+4 is on the top altogether",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060759512715374600,
"author_id": 821589919792758800,
"author_name": "Squid",
"timestamp": "01/05/2023 22:19:35",
"content": "same with x-5",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060759526707572700,
"author_id": 788632931160817700,
"author_name": "gmod",
"timestamp": "01/05/2023 22:19:39",
"content": "that's why parentheses are important",
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"reference": null
},
{
"id": 1060759571901202400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/05/2023 22:19:49",
"content": "then you should use sufficient () to indicate taht",
"attachments": [],
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"reference": null
},
{
"id": 1060759585956302800,
"author_id": 821589919792758800,
"author_name": "Squid",
"timestamp": "01/05/2023 22:19:53",
"content": "ok",
"attachments": [],
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"reference": null
},
{
"id": 1060759619586228400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/05/2023 22:20:01",
"content": "(4x+4)/4 = (x-5)/3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060759697763876900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/05/2023 22:20:19",
"content": "anyway you should notice that the fraction on the left can first be simplified",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060759793524031600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "01/05/2023 22:20:42",
"content": "then you can continue with doing multiplication on both sides to rid yourself of fractions which will make life easier",
"attachments": [],
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},
{
"id": 1060760007655817300,
"author_id": 821589919792758800,
"author_name": "Squid",
"timestamp": "01/05/2023 22:21:33",
"content": "ok thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060760160630476900,
"author_id": 821589919792758800,
"author_name": "Squid",
"timestamp": "01/05/2023 22:22:10",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060760163314835600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 22:22:10",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
25a0b0b74d8246c0bc751b403b5bc13c
|
200,563 |
[
{
"id": 1060761709746339800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 22:28:19",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060763654410215600,
"author_id": 1056776331171475500,
"author_name": "PinkPanther",
"timestamp": "01/05/2023 22:36:03",
"content": "I Need help!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060763656427675800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 22:36:03",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1060763654410215600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1060763673448157300,
"author_id": 1056776331171475500,
"author_name": "PinkPanther",
"timestamp": "01/05/2023 22:36:07",
"content": "!help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060763674270236700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 22:36:07",
"content": "Please read #❓how-to-get-help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060763809561706500,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/05/2023 22:36:40",
"content": "",
"attachments": [],
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"reference": null
},
{
"id": 1060764175820927000,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/05/2023 22:38:07",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060764180669550700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 22:38:08",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
03facec46f6d43ab9a3923d58da8347d
|
200,564 |
[
{
"id": 1060764187401392100,
"author_id": 1056776331171475500,
"author_name": "PinkPanther",
"timestamp": "01/05/2023 22:38:10",
"content": "U ask",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060764254027923600,
"author_id": 788085606483361800,
"author_name": "chartbit",
"timestamp": "01/05/2023 22:38:26",
"content": "You have the question in #help-12｜ebony now",
"attachments": [],
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},
{
"id": 1060771111039664300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 23:05:41",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060773403340058600,
"author_id": 546276616142061600,
"author_name": "Rx8",
"timestamp": "01/05/2023 23:14:47",
"content": "",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1060773403008700436/image.png",
"fileName": "image.png",
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},
{
"id": 1060773407018463200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 23:14:48",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1060773403340058600,
"channelId": 486844875632017400,
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}
},
{
"id": 1060773453751406700,
"author_id": 546276616142061600,
"author_name": "Rx8",
"timestamp": "01/05/2023 23:14:59",
"content": "",
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},
{
"id": 1060773507690147800,
"author_id": 546276616142061600,
"author_name": "Rx8",
"timestamp": "01/05/2023 23:15:12",
"content": "where is the p value 0.0818 comes from?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060773587172212900,
"author_id": 546276616142061600,
"author_name": "Rx8",
"timestamp": "01/05/2023 23:15:31",
"content": "I just did a lookup for 1.414 in a z table and the result is not the same",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1060777362742071300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/05/2023 23:30:31",
"content": "@Rx8 Has your question been resolved?",
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},
{
"id": 1060779785388826800,
"author_id": 546276616142061600,
"author_name": "Rx8",
"timestamp": "01/05/2023 23:40:09",
"content": "I'm starting to suspect that it's a typo, can anyone confirm?",
"attachments": [],
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"reference": null
},
{
"id": 1060779864514375700,
"author_id": 546276616142061600,
"author_name": "Rx8",
"timestamp": "01/05/2023 23:40:28",
"content": "and to convert t value to probability, do I just look up the t value in a z table to get it?",
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},
{
"id": 1060784611589881900,
"author_id": 546276616142061600,
"author_name": "Rx8",
"timestamp": "01/05/2023 23:59:19",
"content": "@Helpers",
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"reference": null
},
{
"id": 1060787294535168100,
"author_id": 546276616142061600,
"author_name": "Rx8",
"timestamp": "01/06/2023 00:09:59",
"content": ".close",
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},
{
"id": 1060787299010482200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "01/06/2023 00:10:00",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
f840cbe84d354072b11d24452ac305c3
|
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