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[
{
"id": 1007383116735844500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/11/2022 16:20:51",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1007384416533872800,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "08/11/2022 16:26:01",
"content": "Is my proof correct:",
"attachments": [],
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"reference": null
},
{
"id": 1007384418530369700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/11/2022 16:26:01",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
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{
"id": 1007384458233659400,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "08/11/2022 16:26:11",
"content": "whoops pressed enter to early",
"attachments": [],
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"reference": null
},
{
"id": 1007384971775852800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "08/11/2022 16:28:13",
"content": "Looks vacuously good yeah",
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},
{
"id": 1007385254459355300,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "08/11/2022 16:29:20",
"content": "for an nxn matrix A and a real scalar c, det(cI-A^T) = det(cI-A) is true\n\n\ndet(cI-A^T) = det(cI-A)\n\ndet(cI-A^T) = det(cI^T-A^T) = det((cI-A)^T) = det(cI-A)",
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},
{
"id": 1007385611629506700,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "08/11/2022 16:30:46",
"content": "Yeah fine proof",
"attachments": [],
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},
{
"id": 1007385636724031500,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "08/11/2022 16:30:52",
"content": "Non vacuously this time",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1007385735428587600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/11/2022 16:31:15",
"content": "vacuumously fine proof",
"attachments": [],
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"reference": null
},
{
"id": 1007385885605625900,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "08/11/2022 16:31:51",
"content": "https://tenor.com/view/breathe-gasp-wide-eyed-gif-12343233",
"attachments": [],
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"reference": null
},
{
"id": 1007385901162307600,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "08/11/2022 16:31:55",
"content": "awesome, to make it \"formal\" should i add that det((cI-A)^T) = det(cI-A) follows from the determinant characteristics?",
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},
{
"id": 1007385961379930200,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "08/11/2022 16:32:09",
"content": "Yeah no harm in clarifying",
"attachments": [],
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},
{
"id": 1007385991469859000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/11/2022 16:32:16",
"content": "a sentence or two is very helpful",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1007386168809226400,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "08/11/2022 16:32:58",
"content": "thanks alot! This is a fun community, any way i can engage more than just asking/answering questions?",
"attachments": [],
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"reference": null
},
{
"id": 1007386368143532200,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/11/2022 16:33:46",
"content": "yeah there are channels to discuss and chill",
"attachments": [],
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"id": 1007386432136032500,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/11/2022 16:34:01",
"content": "#discussion",
"attachments": [],
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},
{
"id": 1007386620984578000,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "08/11/2022 16:34:46",
"content": "cool, thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1007386626328101000,
"author_id": 215090636192350200,
"author_name": "نعمان",
"timestamp": "08/11/2022 16:34:48",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1007386628232335500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/11/2022 16:34:48",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
141dad4da0694fcea7c9c404325020ac
|
197,766 |
[
{
"id": 1007386941924315100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/11/2022 16:36:03",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1007399154961612800,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "08/11/2022 17:24:35",
"content": "Enter in the form a+bi the complex number z having absolute value 6 and argument π/3.",
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},
{
"id": 1007399157025210500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/11/2022 17:24:35",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1007400425760231400,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/11/2022 17:29:38",
"content": "if in doubt, draw a triangle",
"attachments": [],
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},
{
"id": 1007400633244074100,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "08/11/2022 17:30:27",
"content": "Hmm?",
"attachments": [],
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},
{
"id": 1007400681814114300,
"author_id": 363984127977848800,
"author_name": "Anoma",
"timestamp": "08/11/2022 17:30:39",
"content": "do you know the exponential form of a complex number ?",
"attachments": [],
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},
{
"id": 1007400866170556400,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "08/11/2022 17:31:23",
"content": "Can we graph the corresponding right triangle in the complex plane, then figure out a and b, π/3 is 60 degree reference angle, 6 is the hypotenuse length.",
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},
{
"id": 1007401061805469800,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/11/2022 17:32:09",
"content": "",
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"id": 1007401103995969700,
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"author_name": "Toby",
"timestamp": "08/11/2022 17:32:19",
"content": "yeah",
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"id": 1007401725801529500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/11/2022 17:34:48",
"content": "more generally, you should learn the formulas for converting polar to cartesian and vice-versa",
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{
"id": 1007402229633912800,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "08/11/2022 17:36:48",
"content": "$z=\\left| z\\right| \\left( \\cos \\left( \\theta \\right) +i\\sin \\left( \\theta \\right) \\right)$",
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},
{
"id": 1007402241130508400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/11/2022 17:36:50",
"content": "**AuHasard**",
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"id": 1007402295253798900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/11/2022 17:37:03",
"content": "💥",
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},
{
"id": 1007402492222517400,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "08/11/2022 17:37:50",
"content": "So, $\\left| z\\right| =6,\\ \\theta =\\frac{\\pi }{3}$",
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{
"id": 1007402551722901600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/11/2022 17:38:04",
"content": "**AuHasard**",
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{
"id": 1007402583268278400,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "08/11/2022 17:38:12",
"content": "or\nx=r cos phi\ny=r sin phi\nwhere phi is the argument",
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},
{
"id": 1007402632446492700,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "08/11/2022 17:38:24",
"content": "and r is |z|",
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{
"id": 1007403190062420100,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "08/11/2022 17:40:37",
"content": "Yes, we are finding the complex number z from arg(z) and |z|.",
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{
"id": 1007403546343387300,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "08/11/2022 17:42:02",
"content": "$z=6\\left( \\cos \\left( \\frac{\\pi }{3} \\right) +i\\sin \\left( \\frac{\\pi }{3} \\right) \\right)$",
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},
{
"id": 1007403650320171100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/11/2022 17:42:26",
"content": "**AuHasard**",
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"id": 1007404439210033300,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "08/11/2022 17:45:34",
"content": "z = 3 + 3i√3?",
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{
"id": 1007405028220350500,
"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "08/11/2022 17:47:55",
"content": ".close",
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"id": 1007405030065832100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/11/2022 17:47:55",
"content": "Channel closed",
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}
] |
help-9
|
71a5bafbec9d411293dfadd51cd202bd
|
197,767 |
[
{
"id": 1007405283351478400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/11/2022 17:48:56",
"content": "Available help channel!",
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},
{
"id": 1007405690802929800,
"author_id": 238423528255258620,
"author_name": "Iskander",
"timestamp": "08/11/2022 17:50:33",
"content": "is this correct?",
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},
{
"id": 1007405693034320000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/11/2022 17:50:33",
"content": "Pinned a message.",
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"id": 1007405759153328300,
"author_id": 238423528255258620,
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"timestamp": "08/11/2022 17:50:49",
"content": "",
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{
"id": 1007406193196683300,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "08/11/2022 17:52:33",
"content": "arent leading variables, the \"first\" variables in an equation?",
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},
{
"id": 1007406239799578600,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "08/11/2022 17:52:44",
"content": "im not familiar with the language here so i might be wrong",
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},
{
"id": 1007406332166549600,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "08/11/2022 17:53:06",
"content": "from my intuition, x1, x2 and x4 would be \"leading\"",
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},
{
"id": 1007406411292082300,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "08/11/2022 17:53:25",
"content": "in the first equation, x1 is at the front\nin the second, it is x2\nin the third, it is x4",
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},
{
"id": 1007406459153297500,
"author_id": 238423528255258620,
"author_name": "Iskander",
"timestamp": "08/11/2022 17:53:36",
"content": "thats right",
"attachments": [],
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},
{
"id": 1007406679329095800,
"author_id": 238423528255258620,
"author_name": "Iskander",
"timestamp": "08/11/2022 17:54:29",
"content": "what about the rest",
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},
{
"id": 1007408530116067500,
"author_id": 238423528255258620,
"author_name": "Iskander",
"timestamp": "08/11/2022 18:01:50",
"content": "@~Martin ?",
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{
"id": 1007408604548182100,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "08/11/2022 18:02:08",
"content": "the rest looks fine\ni dont know what echelon form is though",
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},
{
"id": 1007408613221990500,
"author_id": 244806629839732740,
"author_name": "~Martin",
"timestamp": "08/11/2022 18:02:10",
"content": "never heard that",
"attachments": [],
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},
{
"id": 1007410267421937800,
"author_id": 238423528255258620,
"author_name": "Iskander",
"timestamp": "08/11/2022 18:08:44",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 1007410854305734700,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "08/11/2022 18:11:04",
"content": "looks correct",
"attachments": [],
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},
{
"id": 1007410894000623700,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "08/11/2022 18:11:13",
"content": "the system is in row echelon form",
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},
{
"id": 1007411022786728100,
"author_id": 761155030513352700,
"author_name": "Bungo",
"timestamp": "08/11/2022 18:11:44",
"content": "wait part (a) is wrong",
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},
{
"id": 1007411289271828700,
"author_id": 238423528255258620,
"author_name": "Iskander",
"timestamp": "08/11/2022 18:12:48",
"content": "yeah part a is 1 2 4",
"attachments": [],
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},
{
"id": 1007415065286295700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/11/2022 18:27:48",
"content": "@Iskander Has your question been resolved?",
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"id": 1007418840944214100,
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"timestamp": "08/11/2022 18:42:48",
"content": "Channel closed",
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}
] |
help-9
|
4b066cbba4a04ee0877a7236e43ff8bc
|
197,768 |
[
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"timestamp": "08/11/2022 18:43:48",
"content": "Available help channel!",
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},
{
"id": 1007420059251122300,
"author_id": 805217272087838700,
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"timestamp": "08/11/2022 18:47:39",
"content": "Pinned a message.",
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}
] |
help-9
|
f5f29343e79947769dc9a24bb0be0918
|
197,769 |
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"timestamp": "08/11/2022 18:47:46",
"content": "/ckise",
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},
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"id": 1007420162544250900,
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"author_name": "EllenDegen",
"timestamp": "08/11/2022 18:48:03",
"content": "/close",
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},
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"id": 1007420200699822100,
"author_id": 395355763331301400,
"author_name": "EllenDegen",
"timestamp": "08/11/2022 18:48:12",
"content": ".close",
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{
"id": 1007420213328875500,
"author_id": 261933205387477000,
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"timestamp": "08/11/2022 18:48:15",
"content": "it'll close eventually",
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},
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"timestamp": "08/11/2022 19:22:25",
"content": "Pinned a message.",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "08/11/2022 19:25:47",
"content": "did you do the difference thing",
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},
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"id": 1007429851768172700,
"author_id": 515908610287730700,
"author_name": "quiët",
"timestamp": "08/11/2022 19:26:33",
"content": "huh",
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"author_name": "GarlicBredFries",
"timestamp": "08/11/2022 19:27:16",
"content": "did you check the first order/second order differences?",
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"id": 1007430458524565600,
"author_id": 393507089873371140,
"author_name": "pergioa",
"timestamp": "08/11/2022 19:28:58",
"content": "Either way it’s ‘B’ or ‘D’",
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"timestamp": "08/11/2022 19:41:34",
"content": "@quiët Has your question been resolved?",
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"timestamp": "08/11/2022 19:51:44",
"content": "Channel closed",
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}
] |
help-9
|
3492c92a40364fc7a496d11f90332a0f
|
197,770 |
[
{
"id": 955694584158122000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/22/2022 01:09:04",
"content": "Available help channel!",
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},
{
"id": 955698351561654300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "03/22/2022 01:24:03",
"content": "Can anyone help me with 17?",
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"content": "Pinned a message.",
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"timestamp": "03/22/2022 01:39:03",
"content": "@Deleted User Has your question been resolved?",
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"timestamp": "03/22/2022 01:54:03",
"content": "Channel closed",
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] |
help-9
|
e222c3ae896c41cf95f925030e55691f
|
197,771 |
[
{
"id": 959731203743813800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 04:29:09",
"content": "Available help channel!",
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},
{
"id": 959738604517724200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/02/2022 04:58:34",
"content": "If B is the midpoint of segment AC and AB=3x-6 , how long is AC when BC=x+8?\n\nIs this right\n\n3x-6 = x+8\nx=7\n\n3(7)-6+(7)+8\n=30\n\nAns: 30",
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"id": 959738606514237600,
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"timestamp": "04/02/2022 04:58:34",
"content": "Pinned a message.",
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"id": 959738688248614900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "04/02/2022 04:58:54",
"content": "yes",
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"author_name": "Deleted User",
"timestamp": "04/02/2022 04:59:02",
"content": "thank you so much!",
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"id": 959738764484313200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/02/2022 04:59:12",
"content": ".close",
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},
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"id": 959738766153637900,
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"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 04:59:12",
"content": "Channel closed",
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}
] |
help-9
|
9d9e01dcb05b44d1bf09bb3afb9c2c4a
|
197,772 |
[
{
"id": 1007436441762136200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/11/2022 19:52:44",
"content": "Available help channel!",
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},
{
"id": 1007446111998447600,
"author_id": 1007336213725855700,
"author_name": "gn",
"timestamp": "08/11/2022 20:31:10",
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"author_name": "Mathematics Bot",
"timestamp": "08/11/2022 20:31:11",
"content": "Pinned a message.",
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{
"id": 1007446125114048500,
"author_id": 1007336213725855700,
"author_name": "gn",
"timestamp": "08/11/2022 20:31:13",
"content": "help?",
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},
{
"id": 1007446273915367400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/11/2022 20:31:49",
"content": "Turn it into a single fraction",
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},
{
"id": 1007446424528617600,
"author_id": 1007336213725855700,
"author_name": "gn",
"timestamp": "08/11/2022 20:32:25",
"content": "huh",
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},
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"id": 1007450200345948200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/11/2022 20:47:25",
"content": "@gn Has your question been resolved?",
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"id": 1007459329730945200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/11/2022 21:23:41",
"content": "e.g. 1 + 2/3 = 3/3 + 2/3 = (3+2)/3 = 5/3",
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{
"id": 1007461393240424600,
"author_id": 148034369821343740,
"author_name": "rini",
"timestamp": "08/11/2022 21:31:53",
"content": "$1\\frac{4}{5}= 1\\times \\frac{5}{5} + \\frac{4}{5} = \\frac{9}{5}$",
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},
{
"id": 1007461402509852700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/11/2022 21:31:56",
"content": "**rini**",
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"id": 1007462250409365500,
"author_id": 894078972944584700,
"author_name": "john82625",
"timestamp": "08/11/2022 21:35:18",
"content": "1.233 =37/30",
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},
{
"id": 1007464767788683400,
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"author_name": "Mathematics Bot",
"timestamp": "08/11/2022 21:45:18",
"content": "@gn Has your question been resolved?",
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"timestamp": "08/11/2022 22:15:18",
"content": "Channel closed",
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}
] |
help-9
|
b4b92e2e1b7f4c9596f127756f929b26
|
197,773 |
[
{
"id": 1007482149655543900,
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"timestamp": "08/11/2022 22:54:22",
"content": "Available help channel!",
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},
{
"id": 1007493527502065800,
"author_id": 686933403559264400,
"author_name": "Syphrix7",
"timestamp": "08/11/2022 23:39:35",
"content": "how do i find the domain n range?",
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},
{
"id": 1007493529725046900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/11/2022 23:39:35",
"content": "Pinned a message.",
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"author_name": "Syphrix7",
"timestamp": "08/11/2022 23:39:48",
"content": "i alrd found the inverse",
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},
{
"id": 1007494408813428900,
"author_id": 1005247089745334300,
"author_name": "klaus",
"timestamp": "08/11/2022 23:43:05",
"content": "domain would be 0 to 6, and range would be the absolute max and min inside the domain",
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"id": 1007496076154110100,
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"author_name": "Syphrix7",
"timestamp": "08/11/2022 23:49:42",
"content": "how do i find the abs max n min of the range",
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},
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"timestamp": "08/12/2022 00:04:43",
"content": "@Syphrix7 Has your question been resolved?",
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"timestamp": "08/12/2022 00:19:43",
"content": "Channel closed",
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}
] |
help-9
|
0804dbf77a854bd99d0be00e26847b2d
|
197,774 |
[
{
"id": 1007503880390717400,
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"author_name": "Mathematics Bot",
"timestamp": "08/12/2022 00:20:43",
"content": "Available help channel!",
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},
{
"id": 1007505755735335000,
"author_id": 771056635199619100,
"author_name": "Fluffy.Bullet",
"timestamp": "08/12/2022 00:28:10",
"content": "hello, i cant figure out if the derivative is linear or quadratic",
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"content": "Pinned a message.",
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{
"id": 1007507206826106900,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 00:33:56",
"content": "We can’t say it’s definitely quadratic",
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},
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"id": 1007507233044713500,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 00:34:02",
"content": "We can only say it’s not linear",
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},
{
"id": 1007507331640197200,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 00:34:26",
"content": "Linear don’t have y value positive->negative->positive",
"attachments": [],
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},
{
"id": 1007507436351008800,
"author_id": 771056635199619100,
"author_name": "Fluffy.Bullet",
"timestamp": "08/12/2022 00:34:51",
"content": "this function is cubic though right?",
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},
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"id": 1007507458408845300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 00:34:56",
"content": "We don’t know the graph is a cubic polynomial",
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},
{
"id": 1007507527824588800,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 00:35:13",
"content": "At least he hasn’t said so",
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},
{
"id": 1007507610070683800,
"author_id": 771056635199619100,
"author_name": "Fluffy.Bullet",
"timestamp": "08/12/2022 00:35:32",
"content": "so what can we say",
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},
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"id": 1007507613954625500,
"author_id": 771056635199619100,
"author_name": "Fluffy.Bullet",
"timestamp": "08/12/2022 00:35:33",
"content": "for this",
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},
{
"id": 1007507636041818100,
"author_id": 771056635199619100,
"author_name": "Fluffy.Bullet",
"timestamp": "08/12/2022 00:35:39",
"content": "quartic?",
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},
{
"id": 1007507650256306200,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 00:35:42",
"content": "This",
"attachments": [],
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},
{
"id": 1007507711920967800,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 00:35:57",
"content": "If those are the only two options you are given, then quadratic",
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},
{
"id": 1007507877344325600,
"author_id": 771056635199619100,
"author_name": "Fluffy.Bullet",
"timestamp": "08/12/2022 00:36:36",
"content": "so i was given quartic and cubic function and this function is cubic i think",
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},
{
"id": 1007507898617839600,
"author_id": 771056635199619100,
"author_name": "Fluffy.Bullet",
"timestamp": "08/12/2022 00:36:41",
"content": "but it asks for derivative so idk",
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},
{
"id": 1007507926178599000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 00:36:48",
"content": "For example this could be cubic multiplied by e^0.000001x or something",
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},
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"id": 1007508077265830000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 00:37:24",
"content": "Then quadratic",
"attachments": [],
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},
{
"id": 1007509111241457700,
"author_id": 771056635199619100,
"author_name": "Fluffy.Bullet",
"timestamp": "08/12/2022 00:41:30",
"content": "well how about this",
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},
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"timestamp": "08/12/2022 00:41:32",
"content": "",
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"author_name": "Fluffy.Bullet",
"timestamp": "08/12/2022 00:41:55",
"content": "shouldnt this interval be concave down?",
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"id": 1007509255189958700,
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"author_name": "Fluffy.Bullet",
"timestamp": "08/12/2022 00:42:05",
"content": "im new to calculus so im sorry if im answering wrong",
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"timestamp": "08/12/2022 00:50:20",
"content": "Concave down means second derivative <=0",
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"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "08/12/2022 00:50:45",
"content": "concave down means it's sorta shaped like an upside down U",
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"author_name": "Fluffy.Bullet",
"timestamp": "08/12/2022 00:53:12",
"content": "well then it should be",
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"author_name": "Fluffy.Bullet",
"timestamp": "08/12/2022 00:53:19",
"content": "cuz i saw from here",
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"id": 1007512140124524500,
"author_id": 771056635199619100,
"author_name": "Fluffy.Bullet",
"timestamp": "08/12/2022 00:53:32",
"content": "should be less than x<-0.5 then",
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"id": 1007512426222207000,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "08/12/2022 00:54:41",
"content": "yep!",
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"author_id": 771056635199619100,
"author_name": "Fluffy.Bullet",
"timestamp": "08/12/2022 00:56:58",
"content": "thank you",
"attachments": [],
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},
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"id": 1007513012023869600,
"author_id": 771056635199619100,
"author_name": "Fluffy.Bullet",
"timestamp": "08/12/2022 00:57:00",
"content": ".close",
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},
{
"id": 1007513014049714300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/12/2022 00:57:01",
"content": "Channel closed",
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}
] |
help-9
|
fb90596c448e40e98463db02f6d8ab07
|
197,775 |
[
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"timestamp": "08/12/2022 00:58:01",
"content": "Available help channel!",
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},
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"author_name": "Mathematics Bot",
"timestamp": "08/12/2022 02:23:00",
"content": "Pinned a message.",
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}
] |
help-9
|
5f6beeb4931345e694e79d37b394b70c
|
197,776 |
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"timestamp": "08/12/2022 02:33:02",
"content": "Available help channel!",
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},
{
"id": 1007561082409336800,
"author_id": 354692981703573500,
"author_name": "allison",
"timestamp": "08/12/2022 04:08:01",
"content": "it is asking me which of the three car park rates is most cost-efficient for a specific number of hours of stay, please help me understand this besides answering the question :(",
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"content": "Pinned a message.",
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"timestamp": "08/12/2022 04:08:48",
"content": "piecewise functions arent my best ^",
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"timestamp": "08/12/2022 04:23:48",
"content": "@allison Has your question been resolved?",
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"author_name": "Sally Jensen",
"timestamp": "08/12/2022 04:31:06",
"content": "You want to find out the cost for for the three different floors to determine the least expensive is that right?",
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"author_name": "Sally Jensen",
"timestamp": "08/12/2022 04:34:13",
"content": "The easiest way to understand this question is to plot the three functions",
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"timestamp": "08/12/2022 04:55:03",
"content": "@allison Has your question been resolved?",
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] |
help-9
|
637a8dff96254f3a857eb558ef083ff8
|
197,777 |
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"timestamp": "08/12/2022 05:06:50",
"content": "Available help channel!",
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"id": 1007592827854786600,
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"author_name": "wideputin",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 06:19:23",
"content": "In a graph the sum of degrees of each vertex is even, which equals twice the number of edges",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 06:19:35",
"content": "So number of vertices having odd degree must be even",
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"id": 1007595178707656800,
"author_id": 738255162736378000,
"author_name": "wideputin",
"timestamp": "08/12/2022 06:23:30",
"content": "?",
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"id": 1007595314909286400,
"author_id": 738255162736378000,
"author_name": "wideputin",
"timestamp": "08/12/2022 06:24:03",
"content": "i dont know graph theory much",
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"id": 1007595381326094300,
"author_id": 738255162736378000,
"author_name": "wideputin",
"timestamp": "08/12/2022 06:24:19",
"content": "can yu explain some other way",
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"id": 1007595718703321100,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 06:25:39",
"content": "It’s an obvious fact",
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"id": 1007595799523360800,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 06:25:58",
"content": "Each edge corresponding two vertices",
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"id": 1007595876644028500,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 06:26:17",
"content": "when you count number of edges each vertices connecting to it, you counted number of edges twice",
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"id": 1007597034813005800,
"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "08/12/2022 06:30:53",
"content": "In other words, at the end, each player has played some number of games. If you add those all up, you get twice the total number of games played, so that's an even number. (Each game played increases the count for TWO players). If an odd number of players played an odd number of games, then the sum of all the players counts would be odd...",
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"timestamp": "08/12/2022 06:33:35",
"content": "oh ok i get it thankyou",
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"author_name": "wideputin",
"timestamp": "08/12/2022 06:33:43",
"content": ".close",
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"timestamp": "08/12/2022 06:33:43",
"content": "Channel closed",
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] |
help-9
|
0ad624de0df648b5a8d0a8681f23c074
|
197,778 |
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"content": "Available help channel!",
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{
"id": 1007599362035171300,
"author_id": 282666619979694080,
"author_name": "ramenTasty",
"timestamp": "08/12/2022 06:40:08",
"content": "If an eigenvalue has a multiplicity of more than one, does that mean that its eigenvectors are orthogonal?",
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"content": "Pinned a message.",
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"id": 1007601749336535000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "08/12/2022 06:49:37",
"content": "no. if v is an eigenvector then so is 2v and those are not orthogonal",
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"id": 1007601812251099100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "08/12/2022 06:49:52",
"content": "what you mean is whether you can select a basis of the eigenspace which is orthogonal",
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"id": 1007601843783860400,
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"timestamp": "08/12/2022 06:49:59",
"content": "which I guess should be possible with gram schmidt",
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"content": "@ramenTasty Has your question been resolved?",
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"content": "@ramenTasty Has your question been resolved?",
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help-9
|
0dfb42029ed24c7ba7758757f43ee886
|
197,779 |
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"id": 1007620609766867000,
"author_id": 202387743504990200,
"author_name": "Kin",
"timestamp": "08/12/2022 08:04:34",
"content": "can we explains \"matrix norm\" in terms of \"vector norm\" of \"vector norm\" of data?\n\nWhat is the meaning of \"vector norm\" of \"vector norm\" of data?\n\nThank you.",
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"content": "https://en.m.wikipedia.org/wiki/Matrix_norm",
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"content": "@Kin Has your question been resolved?",
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] |
help-9
|
adbd0002ea4347639cf2971b2b6fbb81
|
197,780 |
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"content": "Available help channel!",
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},
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"id": 1007654241332101200,
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"id": 1007654476942942300,
"author_id": 361324748359335940,
"author_name": "Karter",
"timestamp": "08/12/2022 10:19:08",
"content": "really having trouble with this. is there a law I'm forgetting because I feel like this just doesn't work",
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"id": 1007655027269173200,
"author_id": 841679117350994000,
"author_name": "Not Trout",
"timestamp": "08/12/2022 10:21:19",
"content": "think of it as a right-angled triangle with the right angle ||as an imaginary line starting from the peak, then perpendicular to the base of the mountain||",
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"id": 1007655055970811900,
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"author_name": "Not Trout",
"timestamp": "08/12/2022 10:21:26",
"content": "then from there you just need to apply ||trigonometry||",
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"timestamp": "08/12/2022 10:21:44",
"content": "yes I've done that but wdym by apply trigonometry",
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"author_name": "Not Trout",
"timestamp": "08/12/2022 10:23:03",
"content": "what lesson is that in khan academy",
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"timestamp": "08/12/2022 10:24:05",
"content": "general triangle word problems",
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"timestamp": "08/12/2022 10:24:31",
"content": "what grade level",
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"timestamp": "08/12/2022 10:25:26",
"content": "it's precalc",
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"timestamp": "08/12/2022 10:27:03",
"content": "I found the solution, looks like you use law of sines on the smaller triangle",
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"content": "yep that's trigonometry",
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"timestamp": "08/12/2022 10:27:09",
"content": "is",
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"author_id": 841679117350994000,
"author_name": "Not Trout",
"timestamp": "08/12/2022 10:27:12",
"content": "sine cosine tangent",
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"content": "functions",
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"id": 1007656546227998700,
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"timestamp": "08/12/2022 10:27:21",
"content": "well yeah",
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"timestamp": "08/12/2022 10:27:28",
"content": "I understand it's trig lol",
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"timestamp": "08/12/2022 10:27:37",
"content": "I was kind of looking for an explanation",
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"id": 1007656724687228900,
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"timestamp": "08/12/2022 10:28:04",
"content": ".close",
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"timestamp": "08/12/2022 10:28:04",
"content": "Channel closed",
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}
] |
help-9
|
c64cc570a2af40ba8440c8c05bada9cd
|
197,781 |
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"author_name": "Mathematics Bot",
"timestamp": "08/12/2022 11:17:44",
"content": "Available help channel!",
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"content": "Am talking Abt the 6n³+3 ques",
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"content": "Why mod 3 isn't working here",
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"content": "Even the remainder when this is divided by three is",
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"content": "Same as the remainder whem n⁶ is divided by 3",
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"content": "@Zybikron thank you",
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"content": "Mod 7",
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"timestamp": "08/12/2022 12:07:23",
"content": "n^3=2 or 3 mod 7 don’t have solutions",
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"timestamp": "08/12/2022 12:07:31",
"content": "Yeah it works there",
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"author_name": "Messier 87 (M87)",
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"content": "Yeah but why is it not working in mod 3",
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"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 12:08:36",
"content": "This kind of questions aren’t meaningful: why I can’t… why … doesn’t work. There are no answers. Like why I can’t use a horse to fly to the moon",
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"id": 1007682075056418800,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 12:08:48",
"content": "It’s not “why doing this is wrong”",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 12:09:02",
"content": "Which has a clear answer",
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"author_name": "Messier 87 (M87)",
"timestamp": "08/12/2022 12:09:16",
"content": "Umhmm",
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"timestamp": "08/12/2022 12:09:33",
"content": "This is my question now",
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"timestamp": "08/12/2022 12:09:38",
"content": "Let me give your an example",
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"author_name": "Messier 87 (M87)",
"timestamp": "08/12/2022 12:09:44",
"content": "K great",
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"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 12:11:09",
"content": "Solve x^2-9x+14=0, now a teacher says to his students: 9=2+7, 2 times 7=14, so we can factor it into (x-2)(x-7). Now a student says: 1 times 14 also equals 14, why factoring into (x-1)(x-14) doesn’t work",
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"timestamp": "08/12/2022 12:11:17",
"content": "You see how meaningless it is?",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 12:11:22",
"content": "It just doesn’t work",
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"id": 1007682778705449100,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 12:11:36",
"content": "There is no reason why something doesn’t work, it just doesn’t",
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"id": 1007682917700473000,
"author_id": 717233009258135600,
"author_name": "Messier 87 (M87)",
"timestamp": "08/12/2022 12:12:09",
"content": "But it doesn't work coz",
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{
"id": 1007682968816455800,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 12:12:21",
"content": "Just want to make my point",
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"author_name": "Messier 87 (M87)",
"timestamp": "08/12/2022 12:12:22",
"content": "1,14 are not the roots",
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{
"id": 1007683049930108900,
"author_id": 717233009258135600,
"author_name": "Messier 87 (M87)",
"timestamp": "08/12/2022 12:12:40",
"content": "So there should be smth deeper here",
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},
{
"id": 1007683097061498900,
"author_id": 717233009258135600,
"author_name": "Messier 87 (M87)",
"timestamp": "08/12/2022 12:12:52",
"content": "Which I am not able to understand",
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},
{
"id": 1007683174555451500,
"author_id": 717233009258135600,
"author_name": "Messier 87 (M87)",
"timestamp": "08/12/2022 12:13:10",
"content": "Lol its becoming philosophical",
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"id": 1007683488679465100,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 12:14:25",
"content": "Say there are 1 million roads seem to be able to lead you to Rome, several ways do lead you to Rome. But most of rest are ridiculous:: like passing north pole, then travel to South Pole, then return to North Pole, then finally come to Rome. Why this path doesn’t work, it just doesn’t. There are 1 million reason why something doesn’t work",
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"id": 1007683604228354000,
"author_id": 717233009258135600,
"author_name": "Messier 87 (M87)",
"timestamp": "08/12/2022 12:14:53",
"content": "Ummmmmhmmmm",
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},
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"id": 1007683674625544300,
"author_id": 717233009258135600,
"author_name": "Messier 87 (M87)",
"timestamp": "08/12/2022 12:15:09",
"content": "Still I don't get it",
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"id": 1007683684024983700,
"author_id": 717233009258135600,
"author_name": "Messier 87 (M87)",
"timestamp": "08/12/2022 12:15:12",
"content": "Sorry",
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"id": 1007683862240964700,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 12:15:54",
"content": "Anyway, all I can say is that questions like that don’t mean anything to me personally",
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"timestamp": "08/12/2022 12:16:01",
"content": "Oh",
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"author_name": "Messier 87 (M87)",
"timestamp": "08/12/2022 12:16:11",
"content": "Thank u tho",
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"author_id": 717233009258135600,
"author_name": "Messier 87 (M87)",
"timestamp": "08/12/2022 12:16:26",
"content": "Should I ping somebody",
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{
"id": 1007684513645723600,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 12:18:29",
"content": "Put it this way: there are infinitely many prime: mod 7 worked, you can considering mod 3, mod 5, mod 11, mod 13, mod 19…. Many many many don’t work. Something that didn’t work is one of the trillions of things that don’t work, they have trillions of “reasons” why they didn’t work",
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"id": 1007684750737150100,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 12:19:26",
"content": "Do you want to spend all your time finding the reason why mod 11 doesn’t work , why mod 13 doesn’t work,… so on?",
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"id": 1007684861898805400,
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"timestamp": "08/12/2022 12:19:52",
"content": "Why calculus doesn’t work for this problem",
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"timestamp": "08/12/2022 12:20:30",
"content": "Why Trigonometric functions doesn’t work for solving this problem",
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"id": 1007685181693513900,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 12:21:09",
"content": "there are trillions of things that don’t work. Why watching a movie doesn’t make me solve this problem",
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"id": 1007685438586228700,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 12:22:10",
"content": "mod 3 is one of them, however more meaningful than others you thought it was",
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"author_id": 717233009258135600,
"author_name": "Messier 87 (M87)",
"timestamp": "08/12/2022 12:23:39",
"content": "Ok....",
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"id": 1007685990778941600,
"author_id": 717233009258135600,
"author_name": "Messier 87 (M87)",
"timestamp": "08/12/2022 12:24:22",
"content": "But maybe all of em have some common reason",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 12:24:27",
"content": "We only think about why something works. If you ask me why mod 7 works , I explain “6n^3+3=r^6 mod 7, -n^3+3=0 or 1 mod 7, but n^3=2 or 3 doesn’t have solution “ to you",
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"timestamp": "08/12/2022 12:24:39",
"content": "Umhmm",
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"id": 1007686171515691000,
"author_id": 717233009258135600,
"author_name": "Messier 87 (M87)",
"timestamp": "08/12/2022 12:25:05",
"content": "In the case of mod3",
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"timestamp": "08/12/2022 12:25:18",
"content": "The equation also have solutions",
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"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 12:25:28",
"content": "Why I can use fire to cook my food, not why I can’t use ice to cook my food, or why I can’t drive a car in the sky",
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"timestamp": "08/12/2022 12:25:55",
"content": "All of em have reasons",
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"timestamp": "08/12/2022 12:26:49",
"content": "So it doesn’t prove anything. Mod 7 doesn’t have solution make you a contradiction which proved you statement",
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"timestamp": "08/12/2022 12:27:26",
"content": "Mod 3 didn’t do anything. Why it didn’t do anything? Might be trillions of ridiculous , meaningless reasons that might behind it",
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"timestamp": "08/12/2022 12:27:51",
"content": "But it did have sol stilll it didn't work",
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"timestamp": "08/12/2022 12:27:56",
"content": "Lol",
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"author_id": 717233009258135600,
"author_name": "Messier 87 (M87)",
"timestamp": "08/12/2022 12:28:11",
"content": "It's a big philosophical discussion now",
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"timestamp": "08/12/2022 12:28:39",
"content": "Just pointing out its not a math question having clear answer",
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"author_id": 717233009258135600,
"author_name": "Messier 87 (M87)",
"timestamp": "08/12/2022 12:28:54",
"content": "Oh...kk...",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 12:29:04",
"content": "Why something works has reason , why something doesn’t work might not have a reason",
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"timestamp": "08/12/2022 12:29:30",
"content": "Ok..........",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/12/2022 12:44:31",
"content": "@Messier 87 (M87) Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
1519f432ae8546e995f0648cbfff7084
|
197,782 |
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"id": 959741129346121700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 05:08:36",
"content": "Available help channel!",
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},
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"id": 959741460813590500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/02/2022 05:09:55",
"content": "In the figure below, if m∠1= (2x+50) and m∠2= (x-20), what is the measure of ∠3\n\nIn this problem, is it okay to assume that: **m∠1=m∠3**",
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"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/02/2022 05:13:35",
"content": "@Deleted User what do m<1 and m<2 add up to?",
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"timestamp": "04/02/2022 05:14:41",
"content": "180",
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"timestamp": "04/02/2022 05:15:01",
"content": "but, is it ok that i assume **m∠1=m∠3**",
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"id": 959742839745572900,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/02/2022 05:15:24",
"content": "Yes",
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"id": 959742887808098300,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/02/2022 05:15:35",
"content": "m1 = m3 and m2 = m4",
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},
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"id": 959743302163365900,
"author_id": 313241736816361500,
"author_name": "P5",
"timestamp": "04/02/2022 05:17:14",
"content": "angles above each other, such as the example above where angle 1 and 3 are above each other, will always be the same",
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"timestamp": "04/02/2022 05:17:15",
"content": "like \n2x+50+(x-20)=180\nx=50\n\nangle 1 = 2(50)+50 = 150\n\nSo if ang 1 = ang 3\n\nAng 3 = 150...?",
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"timestamp": "04/02/2022 05:17:32",
"content": "Ohhh I see it now, thanks!",
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"author_name": "P5",
"timestamp": "04/02/2022 05:18:03",
"content": "angle 2 and 4 are also exactly the same",
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"timestamp": "04/02/2022 05:18:29",
"content": "and 1 and 3 are too.. so",
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"author_name": "P5",
"timestamp": "04/02/2022 05:18:50",
"content": "1 and 3 are equal to eachother, and 2 and 4 are equal to eachother",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/02/2022 05:19:20",
"content": "so, this would be right?",
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"id": 959744114281308200,
"author_id": 880503100711010300,
"author_name": "Rylo",
"timestamp": "04/02/2022 05:20:28",
"content": "opposite angles are equal",
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"author_name": "Navix",
"timestamp": "04/02/2022 05:20:32",
"content": "yes",
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"timestamp": "04/02/2022 05:20:41",
"content": "thanks so much",
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"timestamp": "04/02/2022 05:20:52",
"content": "ahhh, right, thanks",
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"content": ".close",
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"content": "Channel closed",
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] |
help-9
|
77d9b7b0083c4ab2a3aa12892364d3cf
|
197,783 |
[
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"timestamp": "08/12/2022 13:00:31",
"content": "Available help channel!",
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},
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"id": 1007703107838431200,
"author_id": 570571152532045800,
"author_name": "sludge_fudge",
"timestamp": "08/12/2022 13:32:23",
"content": "ight more trig",
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"content": "Pinned a message.",
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"timestamp": "08/12/2022 13:32:29",
"content": "29",
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"content": "",
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"timestamp": "08/12/2022 13:32:37",
"content": "what i got",
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},
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"id": 1007703194161385600,
"author_id": 570571152532045800,
"author_name": "sludge_fudge",
"timestamp": "08/12/2022 13:32:43",
"content": "which is just not there in the answers",
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{
"id": 1007703515478626300,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/12/2022 13:34:00",
"content": "Expressing sin with tan is done with tan x / 2 not tan x",
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},
{
"id": 1007703574383427600,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/12/2022 13:34:14",
"content": "So that doesn't quite work",
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},
{
"id": 1007703578758099000,
"author_id": 570571152532045800,
"author_name": "sludge_fudge",
"timestamp": "08/12/2022 13:34:15",
"content": "SHIT",
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},
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"id": 1007703604569837600,
"author_id": 570571152532045800,
"author_name": "sludge_fudge",
"timestamp": "08/12/2022 13:34:21",
"content": "bruhhhh",
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},
{
"id": 1007703609569456300,
"author_id": 570571152532045800,
"author_name": "sludge_fudge",
"timestamp": "08/12/2022 13:34:22",
"content": "god",
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},
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"id": 1007703719615406200,
"author_id": 570571152532045800,
"author_name": "sludge_fudge",
"timestamp": "08/12/2022 13:34:48",
"content": "anyways thanks",
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},
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"id": 1007703726204670100,
"author_id": 570571152532045800,
"author_name": "sludge_fudge",
"timestamp": "08/12/2022 13:34:50",
"content": ".close",
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"author_name": "Mathematics Bot",
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"content": "Channel closed",
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}
] |
help-9
|
2783cd6cce75491397971b4bed1e9bc4
|
197,784 |
[
{
"id": 1007704264686186600,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/12/2022 13:36:58",
"content": "It's ugly but you also have a quadratic in cos theta, which gives few possible values, and maybe they all give the same tan theta / 2",
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"author_name": "sludge_fudge",
"timestamp": "08/12/2022 13:37:52",
"content": "ugly as in?",
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},
{
"id": 1007704520802979800,
"author_id": 570571152532045800,
"author_name": "sludge_fudge",
"timestamp": "08/12/2022 13:38:00",
"content": "should I have solved this differently?",
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},
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"id": 1007704700696674400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/12/2022 13:38:42",
"content": "It's an idea but I wouldn't call it elegant",
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"id": 1007705296220717200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/12/2022 13:41:04",
"content": "cos2x=cos²x-sin²x\n=2cos²x-1\n=1-2sin²x",
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"id": 1007705304902930600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/12/2022 13:41:06",
"content": "now",
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},
{
"id": 1007705493109756000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/12/2022 13:41:51",
"content": "cos²x=(cos2x+1)/2\nsin²x=(1-cos2x)/2",
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},
{
"id": 1007705515272458400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/12/2022 13:41:57",
"content": "im gonna put x/2",
"attachments": [],
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},
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"id": 1007705634172588000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/12/2022 13:42:25",
"content": "Available help channel!",
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},
{
"id": 1007705806214541400,
"author_id": 570571152532045800,
"author_name": "sludge_fudge",
"timestamp": "08/12/2022 13:43:06",
"content": "I'll look into this again tomorrow",
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},
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"timestamp": "08/12/2022 13:43:06",
"content": "Pinned a message.",
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"timestamp": "08/12/2022 13:43:16",
"content": "it's late",
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"timestamp": "08/12/2022 13:43:21",
"content": "thanks for your guys help",
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"timestamp": "08/12/2022 13:58:21",
"content": "@sludge_fudge Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
703399dafc7740558ee4d67c9c98efd5
|
197,785 |
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"author_id": 800175190583410700,
"author_name": "neuromancer",
"timestamp": "08/12/2022 14:30:20",
"content": "Hi can someone help me find what I’m doing wrong here",
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"timestamp": "08/12/2022 14:45:20",
"content": "@neuromancer Has your question been resolved?",
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"timestamp": "08/12/2022 14:54:01",
"content": ",rccw",
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"id": 1007723698159104100,
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"author_name": "TeXit",
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"timestamp": "08/12/2022 14:54:46",
"content": "are you trying to find the derivative?",
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"timestamp": "08/12/2022 14:59:22",
"content": "yes",
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"timestamp": "08/12/2022 14:59:52",
"content": "it's much easier to rewrite the denom with negative exponent and ik how to do it that way but im wondering what i did wrong here if i were to do it this way",
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"timestamp": "08/12/2022 15:05:40",
"content": "I guess it's because of your first line of derivative",
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"author_name": "Jy",
"timestamp": "08/12/2022 15:06:28",
"content": "U have at the end of the numerator 4+exp(-9z) instead of 4+(-9)exp(-9z)",
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"timestamp": "08/12/2022 15:07:02",
"content": "Why ? Because the derivative of exp(u(x)) is u'(x)exp(u(x))",
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"timestamp": "08/12/2022 15:07:38",
"content": "To remember it you could think that exp(x) is just e^x and e is just a number : exp(1)",
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"timestamp": "08/12/2022 15:08:00",
"content": "I think u well understood derivative process but forgot this details",
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"timestamp": "08/12/2022 15:09:59",
"content": "ohhh i got it tysm",
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"timestamp": "08/12/2022 15:39:59",
"content": "@neuromancer Has your question been resolved?",
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"timestamp": "08/12/2022 16:09:59",
"content": "Channel closed",
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}
] |
help-9
|
6f25a4628d8b47489b01b96fe79b4743
|
197,786 |
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"timestamp": "08/12/2022 16:10:59",
"content": "Available help channel!",
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"timestamp": "08/12/2022 16:22:36",
"content": "all ive deduced is x_0 = x_2",
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"content": ",help",
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"author_name": "TeXit",
"timestamp": "08/12/2022 16:31:14",
"content": "A brief description and guide on how to use me was sent to your DMs!\nPlease use `,list` to see a list of all my commands, and `,help cmd` to get detailed help on a command!",
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"id": 1007748312847351800,
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"timestamp": "08/12/2022 16:32:00",
"content": "$x_1 = x_0 - \\frac{x_0 - x_0^3}{1 - 3x_0^2}$",
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"timestamp": "08/12/2022 16:32:03",
"content": "**androo**",
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"timestamp": "08/12/2022 16:34:04",
"content": "have you tried using this fact and substituting the newtons formula you sent above (applied twice)",
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"timestamp": "08/12/2022 16:35:06",
"content": "with x_2 in terms of x_0?",
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"timestamp": "08/12/2022 16:35:12",
"content": "yeah",
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"author_name": "Toby",
"timestamp": "08/12/2022 16:35:24",
"content": "find x_2 in terms of x_0, then equate to x_0",
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"author_name": "androo",
"timestamp": "08/12/2022 16:38:05",
"content": "$x_0 = x_0 - \\frac{x_0 - x_0^3}{1 - 3x_0^2} - \\frac{f(x_1)}{f'(x_1)}$",
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"timestamp": "08/12/2022 16:40:30",
"content": "**androo**",
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"timestamp": "08/12/2022 16:41:21",
"content": "if i plug in f(x_1) its gets kind unwieldy",
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"author_name": "Toby",
"timestamp": "08/12/2022 16:41:43",
"content": "hmm yeah, but as a brute force method, it should work lol",
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"timestamp": "08/12/2022 16:41:46",
"content": "maybe theres a nicer way",
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"timestamp": "08/12/2022 16:48:55",
"content": "if you rearrange, you get $\\frac{f(x_0)}{f'(x_0)}=-\\frac{f(x_1)}{f'(x_1)}$ which gives you some symmetry",
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"timestamp": "08/12/2022 16:48:57",
"content": "**Toby**",
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"author_name": "Toby",
"timestamp": "08/12/2022 16:49:53",
"content": "note that if x_0 and -x_0 have the same derivatives,",
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"timestamp": "08/12/2022 16:50:01",
"content": "so you want to find a point such that x_1=-x_0",
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"timestamp": "08/12/2022 16:50:21",
"content": "then you can plug x_1=-x_0 into this and solve",
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"timestamp": "08/12/2022 16:51:40",
"content": "I think this will be neater",
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"timestamp": "08/12/2022 16:51:45",
"content": "@androo ^",
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"timestamp": "08/12/2022 16:53:24",
"content": "i see, im gonna try reasoning through why this allows you to determine that x_1=-x_0",
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"timestamp": "08/12/2022 16:54:13",
"content": "x_1=-x_0 is sufficient (plug it in and you will see), but I dont know if its necessary",
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"timestamp": "08/12/2022 17:02:05",
"content": "i dont understand this reasoning",
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"timestamp": "08/12/2022 17:03:04",
"content": "f is an odd function, f' is even",
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"author_name": "Toby",
"timestamp": "08/12/2022 17:03:26",
"content": "so f'(x_0)=f'(-x_0) and f(x_0)=-f(-x_0)",
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"timestamp": "08/12/2022 17:03:40",
"content": "and its clear that these satisfy this equality",
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"timestamp": "08/12/2022 17:06:28",
"content": "oh i get it now. thanks for your help toby",
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"timestamp": "08/12/2022 17:06:35",
"content": "yw",
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"timestamp": "08/12/2022 17:21:29",
"content": "@androo Has your question been resolved?",
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"timestamp": "08/12/2022 17:22:08",
"content": "Channel closed",
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] |
help-9
|
16644756dc42442b8f344dfabbfca401
|
197,787 |
[
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"timestamp": "08/12/2022 17:24:58",
"content": "Channel closed",
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}
] |
help-9
|
de6c7b7019184cdd9d9447cf56774a16
|
197,788 |
[
{
"id": 1007783366751436800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/12/2022 18:51:18",
"content": "Available help channel!",
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},
{
"id": 1007791291473612900,
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"author_name": "aminua",
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"id": 1007791424625979400,
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"author_name": "aminua",
"timestamp": "08/12/2022 19:23:19",
"content": "i want to say 0.27 cause that was the results last year, but i am highly doubting that it’s the answer",
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{
"id": 1007791520247722100,
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"author_name": "aminua",
"timestamp": "08/12/2022 19:23:42",
"content": "oh it says at least",
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},
{
"id": 1007791552388681900,
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"author_name": "aminua",
"timestamp": "08/12/2022 19:23:49",
"content": "nvm i know how to do it sry 🌚",
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"id": 1007791575570600100,
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"timestamp": "08/12/2022 19:23:55",
"content": ".close",
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},
{
"id": 1007791577193787400,
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"timestamp": "08/12/2022 19:23:55",
"content": "Channel closed",
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}
] |
help-9
|
e1af0bbcf3164efe9c6df9eb8f50b5c9
|
197,789 |
[
{
"id": 1007792171778322600,
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"timestamp": "08/12/2022 19:26:17",
"content": "Pinned a message.",
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"content": ".reopen",
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"content": "✅",
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"id": 1007793304915685500,
"author_id": 728394779632730200,
"author_name": "aminua",
"timestamp": "08/12/2022 19:30:47",
"content": "turns out i’m still kind of confused",
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"id": 1007793479298056200,
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"author_name": "aminua",
"timestamp": "08/12/2022 19:31:29",
"content": "so from what ik you take the average of everything by multiplying the x columns with the p(x) columns and then divide the sun by 9 as there’s 9 columns",
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"id": 1007793604556767200,
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"timestamp": "08/12/2022 19:31:59",
"content": "and then you subtract the average from each number to find the standard deviation",
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"id": 1007793675419516900,
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"author_name": "aminua",
"timestamp": "08/12/2022 19:32:16",
"content": "and then u use the 34% 13.5% 2.5% graph thing to find the results",
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"id": 1007793720810295400,
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"author_name": "aminua",
"timestamp": "08/12/2022 19:32:26",
"content": "but i’m not entirely sure if i’m implementing the idea correctly",
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"timestamp": "08/12/2022 19:33:30",
"content": "I think you're overthinking it a little bit",
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"timestamp": "08/12/2022 19:33:54",
"content": "This is for a normal distribution, which isn't what we have here",
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"timestamp": "08/12/2022 19:34:06",
"content": "ah",
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"author_name": "tatpoj",
"timestamp": "08/12/2022 19:34:18",
"content": "The table tells you the probability of catching x number of fish",
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"id": 1007794223992557700,
"author_id": 728394779632730200,
"author_name": "aminua",
"timestamp": "08/12/2022 19:34:26",
"content": "then do i just add the amounts from last years results that are 3 and over?",
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"id": 1007794267982397400,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "08/12/2022 19:34:37",
"content": "Yep exactly",
"attachments": [],
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},
{
"id": 1007794335519080600,
"author_id": 728394779632730200,
"author_name": "aminua",
"timestamp": "08/12/2022 19:34:53",
"content": "alr thank you so much!!",
"attachments": [],
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},
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"id": 1007794362362646500,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "08/12/2022 19:34:59",
"content": "No problem",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "08/12/2022 19:49:53",
"content": "@aminua Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "08/12/2022 20:04:53",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
0e00e2048ed74a43ab470ddcc9350a92
|
197,790 |
[
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"id": 1007802140636491800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/12/2022 20:05:54",
"content": "Available help channel!",
"attachments": [],
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},
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"id": 1007802632963899500,
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"timestamp": "08/12/2022 20:07:52",
"content": "Pinned a message.",
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"author_name": "TheMadIrish",
"timestamp": "08/12/2022 20:08:30",
"content": "for the first one for example, I start from the left, and it approaches zero does it never get there?",
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"id": 1007802827269230700,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "08/12/2022 20:08:38",
"content": "and does that mean the limit is undefined?",
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"id": 1007802902838001700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/12/2022 20:08:56",
"content": "no",
"attachments": [],
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"id": 1007802970232078500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/12/2022 20:09:12",
"content": "you're implying that all limits are undefined",
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"id": 1007803057595224000,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "08/12/2022 20:09:33",
"content": "??/",
"attachments": [],
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"id": 1007803138008436900,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "08/12/2022 20:09:52",
"content": "what do you mean?",
"attachments": [],
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"id": 1007803359438311400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/12/2022 20:10:44",
"content": "what exactly do you mean from what you said",
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"id": 1007803461200511000,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "08/12/2022 20:11:09",
"content": "so it says that x -> 0^-",
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"id": 1007803500853473300,
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"author_name": "TheMadIrish",
"timestamp": "08/12/2022 20:11:18",
"content": "so then I started at the end of the leftmost line",
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"id": 1007803548337189000,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "08/12/2022 20:11:30",
"content": "and headed as far in the direction of 0 (in x values) as a I could",
"attachments": [],
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"id": 1007803583019884500,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "08/12/2022 20:11:38",
"content": "but the line stopped at -4",
"attachments": [],
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"id": 1007803665911906300,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "08/12/2022 20:11:58",
"content": "does that not mean that it is undefined there?",
"attachments": [],
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"id": 1007803819935146100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/12/2022 20:12:34",
"content": "no, that's not what as x→0^- means",
"attachments": [],
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"id": 1007803877069963400,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "08/12/2022 20:12:48",
"content": "what does it mean then?",
"attachments": [],
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"id": 1007803933823074300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/12/2022 20:13:01",
"content": "as x approaches 0 from the left",
"attachments": [],
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"id": 1007804023841226900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/12/2022 20:13:23",
"content": "not approach the left from x=0",
"attachments": [],
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},
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"id": 1007804039683121200,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "08/12/2022 20:13:27",
"content": "so how would i find that?",
"attachments": [],
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"id": 1007804167470977000,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "08/12/2022 20:13:57",
"content": "it gets infinitely close to -6?",
"attachments": [],
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"id": 1007804204703821800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/12/2022 20:14:06",
"content": "yeh",
"attachments": [],
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"id": 1007804240397357000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/12/2022 20:14:15",
"content": "and the limit would simply be -6",
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},
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"id": 1007804296806539300,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "08/12/2022 20:14:28",
"content": "even though the circle is not closed?",
"attachments": [],
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"id": 1007804360580927500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/12/2022 20:14:43",
"content": "yes",
"attachments": [],
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"id": 1007804409369071700,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "08/12/2022 20:14:55",
"content": "ok, thanks",
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"author_name": "Mathematics Bot",
"timestamp": "08/12/2022 20:15:05",
"content": "Channel closed",
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] |
help-9
|
a4fbe644af0c434a8d76021b175d07f1
|
197,791 |
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"timestamp": "08/12/2022 20:16:25",
"content": ".reopen",
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"id": 1007804794875949200,
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"timestamp": "08/12/2022 20:16:27",
"content": "✅",
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"timestamp": "08/12/2022 20:16:36",
"content": ".close",
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"timestamp": "08/12/2022 20:16:37",
"content": "Channel closed",
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] |
help-9
|
797f3ee866e3498fa3521a5441972d4c
|
197,792 |
[
{
"id": 1007807317477171300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/12/2022 20:26:28",
"content": "Available help channel!",
"attachments": [],
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},
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"id": 1007809930159472800,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 20:36:51",
"content": "I am having difficulty factoring using polynomial division. I am learning on Khan's academy and understand the division part, but I can't figure out how to factor it down more.\n\nI have been able to divide and now have p(x) = (x+1) (5x^2 -14x +8)\n\nThis is the part I always mess up. I have read the hints but do not understand how to do it",
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"timestamp": "08/12/2022 20:36:52",
"content": "Pinned a message.",
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"id": 1007810861601128600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/12/2022 20:40:33",
"content": ",w expand (x+1) (5x^2 -14x +8)",
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"id": 1007810917372788900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/12/2022 20:40:46",
"content": "factorise the (5x^2 -14x +8)",
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"id": 1007811065033277600,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 20:41:22",
"content": "Yeah, that's the part I don't understand how to do",
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},
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"id": 1007811162143981600,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 20:41:45",
"content": "how do you know what numbers to break the -14x down to?",
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{
"id": 1007811196189167600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/12/2022 20:41:53",
"content": "consider ac method",
"attachments": [],
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},
{
"id": 1007811260160684000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/12/2022 20:42:08",
"content": "look for a pair of numbers that multiply to ac = 5 * 8 = 40",
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{
"id": 1007811276132581400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/12/2022 20:42:12",
"content": "that sum to -14",
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},
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"id": 1007811352854794200,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 20:42:30",
"content": "where did you get the 40 from?",
"attachments": [],
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"id": 1007811385922703400,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 20:42:38",
"content": "oh 5*8",
"attachments": [],
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{
"id": 1007811478562291700,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 20:43:00",
"content": "so you take the number from the first one and times it by the number from the last one?",
"attachments": [],
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},
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"id": 1007811734628745300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/12/2022 20:44:01",
"content": "Do you know the AC factoring method?",
"attachments": [],
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},
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"id": 1007811752970428500,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 20:44:06",
"content": "no",
"attachments": [],
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},
{
"id": 1007811831085150200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/12/2022 20:44:24",
"content": "Do you know any factoring methods?",
"attachments": [],
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},
{
"id": 1007811877549646000,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 20:44:35",
"content": "I am not very good at it",
"attachments": [],
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},
{
"id": 1007811920910360600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/12/2022 20:44:46",
"content": "That's not what I asked",
"attachments": [],
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},
{
"id": 1007811953210691700,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 20:44:53",
"content": "I went over a*b and a+b but I don't remember how to do it",
"attachments": [],
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},
{
"id": 1007812029798699000,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 20:45:12",
"content": "and then there was one like (m+n) (m-n) I think",
"attachments": [],
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},
{
"id": 1007812101265445000,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 20:45:29",
"content": "but I am really confused how the formulas work and how do I know what one to use when",
"attachments": [],
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},
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"id": 1007812259940155400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/12/2022 20:46:07",
"content": "This could help\nhttps://www.youtube.com/watch?v=kKE4t7R_KWc&ab_channel=BrianMcLogan",
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},
{
"id": 1007812413606863000,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 20:46:43",
"content": "thank you I will watch it",
"attachments": [],
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},
{
"id": 1007812714242003100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/12/2022 20:47:55",
"content": "for monic quadratics,\nexpanding:\n(x+m)(x+n) = x^2 + (m+n)x + mn",
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{
"id": 1007813738142896300,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 20:51:59",
"content": "The video is very helpful, I think I understand now",
"attachments": [],
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},
{
"id": 1007816395632939100,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 21:02:33",
"content": "Ok so I came up with 5x^2 - 10x + 4x + 8 and now trying to factor out using groups I have 5x (x-2) 4 (x+2). Does it matter than one is negative and one is positive in the two like terms? Am I doing this correctly?",
"attachments": [],
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{
"id": 1007817077177995300,
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"author_name": "Chickopie",
"timestamp": "08/12/2022 21:05:15",
"content": "So I wasn't sure if I can combine the (x-2) and (x+2) as like terms, if not, then the answer I have is (x+1)(5x + 4) (x-2)(x+2) but that seems wrong to me",
"attachments": [],
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},
{
"id": 1007817533228847200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/12/2022 21:07:04",
"content": "you're notation and signs are messed up",
"attachments": [],
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},
{
"id": 1007817647351676900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/12/2022 21:07:31",
"content": "doing factorisation using this method, you should end up with common factors in your groups",
"attachments": [],
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},
{
"id": 1007817686551634000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/12/2022 21:07:40",
"content": "-14 isn't -10 + 4",
"attachments": [],
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},
{
"id": 1007817707024031900,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/12/2022 21:07:45",
"content": "-10 * 4 isn't 40",
"attachments": [],
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"reference": null
},
{
"id": 1007817759188594700,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 21:07:58",
"content": "OH",
"attachments": [],
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},
{
"id": 1007817791182737500,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 21:08:05",
"content": "they both need to be negative",
"attachments": [],
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},
{
"id": 1007817819494289400,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 21:08:12",
"content": "wait",
"attachments": [],
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"reference": null
},
{
"id": 1007817971399397400,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 21:08:48",
"content": "ok let me try again",
"attachments": [],
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},
{
"id": 1007818767901937800,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 21:11:58",
"content": "so would it be (x+1)(5x-4)(x-2)?",
"attachments": [],
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},
{
"id": 1007818847228788700,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 21:12:17",
"content": "or is the (x-2) supposed to be (x-2)^2",
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"author_name": "ramonov",
"timestamp": "08/12/2022 21:14:06",
"content": ",w expand (x+1)(5x-4)(x-2)",
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"id": 1007819316374286300,
"author_id": 510789298321096700,
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"timestamp": "08/12/2022 21:14:09",
"content": "Results provided by WolframAlpha",
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},
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"id": 1007819440739582100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/12/2022 21:14:39",
"content": "$ab + ac = a(b+c) \\neq a^2(b+c)$",
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},
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"id": 1007819469357322200,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/12/2022 21:14:45",
"content": "**ℝamonov**",
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"author_name": "Chickopie",
"timestamp": "08/12/2022 21:15:30",
"content": "I don't understand your answer to my question",
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"author_name": "Chickopie",
"timestamp": "08/12/2022 21:16:50",
"content": "ohh I see, that was what I started with before I divided",
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"author_name": "ramonov",
"timestamp": "08/12/2022 21:16:50",
"content": "that was in response to\n> or is the (x-2) supposed to be (x-2)^2",
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"id": 1007820030584570000,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 21:16:59",
"content": "so that means I got it right",
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},
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"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 21:17:07",
"content": "because it equaled out to what I started with",
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"id": 1007820118895640600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/12/2022 21:17:20",
"content": "the wolfram output confirms that your expression expands back out to what you started with",
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"id": 1007820154073251800,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 21:17:29",
"content": "ok thank you",
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},
{
"id": 1007820241625165800,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 21:17:49",
"content": "so it looks liked I don't need to square it then, they just combine",
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"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 21:19:43",
"content": "Ok that was right! Thanks for your help",
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},
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"id": 1007820756434047100,
"author_id": 213488751203057660,
"author_name": "Chickopie",
"timestamp": "08/12/2022 21:19:52",
"content": ".close",
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},
{
"id": 1007820759638487200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/12/2022 21:19:53",
"content": "Channel closed",
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}
] |
help-9
|
3770311dd1394db4b43119a988ae1110
|
197,793 |
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"id": 959786101730607100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 08:07:18",
"content": "Available help channel!",
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"id": 959787269957500900,
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"author_name": "Lenny",
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"content": "hi what does ψ(x) mean",
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"content": "with no context it could mean anything",
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"content": "wtf",
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"content": "anything",
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"content": "No",
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"content": "well maybe but what does that mean",
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"id": 959788221003333600,
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"content": ".-.",
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"content": "my answer is the correct one",
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"content": "Under what context would you see ψ(x)",
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"content": "https://en.m.wikipedia.org/wiki/Wave_function this is all I'm getting",
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"content": "literally any context",
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"content": "Psi is usually reserved for the wave function",
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"timestamp": "04/02/2022 08:17:38",
"content": "**IN PHYSICS**",
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"content": "Let phi(x) equal a banana",
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"content": "and there we have it, its a banana now.",
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"content": "But again, as Shuri's saying",
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"content": "bru",
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"timestamp": "04/02/2022 08:18:07",
"content": "it can be anything",
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"content": "If you're talking about physics, sure, wave function",
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"content": "i think i mean wave function",
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"content": "if ur asking out of context, your question doesnt have an answer",
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"content": "I dont think you do",
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"content": "I mean if someone had like a fuck ton of functions and ran out of characters",
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"content": "And went into Greek stuff",
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"content": "I guess it could be anything",
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"content": "Literally no.",
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"content": "~~phi~~ psi is not uncommonly used to denote functions",
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"timestamp": "04/02/2022 08:19:01",
"content": "when the writer lecturer whatever wishes to do so",
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"content": "this is psi",
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"content": "psi, yes",
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"timestamp": "04/02/2022 08:19:39",
"content": "still a better letter than $\\xi$",
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"timestamp": "04/02/2022 08:19:41",
"content": "**Remavas**",
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"timestamp": "04/02/2022 08:19:42",
"content": "#abstract-algebra #calculus #multivariable-calculus and more",
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"timestamp": "04/02/2022 08:19:53",
"content": "can be used wherever and whenever",
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"content": "Your question is equivalent to me asking you what f means",
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"timestamp": "04/02/2022 08:20:08",
"content": "what’s a wave function",
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"timestamp": "04/02/2022 08:20:44",
"content": "That's quantum physics, and that is out of scope of a math server",
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"content": "My math prof e.g. usually uses psi after phi",
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"timestamp": "04/02/2022 08:21:28",
"content": "for parametrizations of curves",
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"timestamp": "04/02/2022 08:21:29",
"content": "is there a physics server",
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"content": "what does that mean",
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"content": "#network",
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"timestamp": "04/02/2022 08:22:34",
"content": "Take-away; in Mathematics, $\\psi$ is whatever you want it to be",
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"timestamp": "04/02/2022 08:22:36",
"content": "**Remavas**",
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"timestamp": "04/02/2022 08:23:06",
"content": "ohh aight",
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"timestamp": "04/02/2022 08:24:19",
"content": "thank u",
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"timestamp": "04/02/2022 08:24:21",
"content": ".close",
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"timestamp": "04/02/2022 08:24:21",
"content": "Channel closed",
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help-9
|
6ca3a95b55e8449ba17e44e567c09598
|
197,794 |
[
{
"id": 1007848129963511900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/12/2022 23:08:39",
"content": "Available help channel!",
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},
{
"id": 1007848810057314300,
"author_id": 954518684985094100,
"author_name": "KirbysGames",
"timestamp": "08/12/2022 23:11:21",
"content": "What is the difference between a transcendental number an irrational number?",
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},
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"id": 1007848812624220300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/12/2022 23:11:21",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1007849218448298100,
"author_id": 954518684985094100,
"author_name": "KirbysGames",
"timestamp": "08/12/2022 23:12:58",
"content": "I know that sqrt(2) is irrational and pi is transcendental, but they're both just numbers with an infinite amount of decimals",
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"id": 1007849805512454100,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:15:18",
"content": "Consider the field extension R/Q. Given x from R, if x is an algebraic element over Q, we say that x is an algebraic number otherwise we say x is a transcendental number",
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},
{
"id": 1007850021959499800,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:16:10",
"content": "Given field extension E/F. x from E is called an algebraic element over F if there exists a polynomial with coefficients in F having x as a root",
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"id": 1007850146698113200,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:16:39",
"content": "Therefore transcendental numbers are irrational",
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},
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"id": 1007850181351448600,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:16:48",
"content": "The converse is not true.",
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"author_name": "KirbysGames",
"timestamp": "08/12/2022 23:18:52",
"content": "but most transcendental numbers can be represented algebraically\nI also don't know what a field extension is...",
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{
"id": 1007850872044277800,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:19:32",
"content": "No idea what you are talking about. Don’t know what your “can be represented algebraically” means",
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{
"id": 1007850933759254700,
"author_id": 954518684985094100,
"author_name": "KirbysGames",
"timestamp": "08/12/2022 23:19:47",
"content": "like pi can be represented as it's circumference divided by its diameter",
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"id": 1007851104840720400,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:20:28",
"content": "Okay",
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},
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"id": 1007851161744834700,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:20:41",
"content": "Can’t see anything algebraic in that",
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"id": 1007851167704961000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:20:43",
"content": "Anyway",
"attachments": [],
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},
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"id": 1007851278128382000,
"author_id": 954518684985094100,
"author_name": "KirbysGames",
"timestamp": "08/12/2022 23:21:09",
"content": "am I dumb",
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},
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"id": 1007851362316468400,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:21:29",
"content": "If you want the proof of why π or e is transcendental, basic algebra by Jacobson has it, chapter 4 of volume I",
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},
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"author_id": 954518684985094100,
"author_name": "KirbysGames",
"timestamp": "08/12/2022 23:21:48",
"content": "but I don't want proof",
"attachments": [],
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},
{
"id": 1007851522652127200,
"author_id": 954518684985094100,
"author_name": "KirbysGames",
"timestamp": "08/12/2022 23:22:07",
"content": "I just want to know why transcendental numbers and irrational numbers aren't the same",
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"id": 1007851527832096900,
"author_id": 826318983413366800,
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"timestamp": "08/12/2022 23:22:09",
"content": "Whatever",
"attachments": [],
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},
{
"id": 1007851559897530400,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:22:16",
"content": "Answered you problem already",
"attachments": [],
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},
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"id": 1007851730324705300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:22:57",
"content": "Counterexample: Sqrt(2) is algebraic since it’s a root of x^2-2.",
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"id": 1007852162941993000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/12/2022 23:24:40",
"content": "A transcendental number is a (possibly complex) number that is not the root of any integer polynomial, meaning that it is not an algebraic number of any degree. Every real transcendental number must also be irrational, since a rational number is, by definition, an algebraic number of degree one. - online source",
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"author_name": "KirbysGames",
"timestamp": "08/12/2022 23:25:39",
"content": "so basically, transcendental numbers can't be found with roots",
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"author_name": "Deleted User",
"timestamp": "08/12/2022 23:26:15",
"content": "yes, of an integer polynomial. The integer part is important",
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"timestamp": "08/12/2022 23:26:41",
"content": "fair enough",
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"author_name": "KirbysGames",
"timestamp": "08/12/2022 23:26:43",
"content": "alright thanks",
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"author_id": 954518684985094100,
"author_name": "KirbysGames",
"timestamp": "08/12/2022 23:26:47",
"content": ".close",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/12/2022 23:26:48",
"content": "Channel closed",
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] |
help-9
|
2c3e44d115aa46428361764e6399822f
|
197,795 |
[
{
"id": 1007852950795857900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/12/2022 23:27:48",
"content": "Available help channel!",
"attachments": [],
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},
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"id": 1007853275334328300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/12/2022 23:29:05",
"content": ". ```Transcendental numbers are a class of numbers that are defined by the fact they are not algebraic.\n\nalgebraic numbers are numbers that can be written as a root of a polynomial with rational coefficients: So any number that can be represented as the answer (x) to an equation of the form```",
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"author_name": "Equinox",
"timestamp": "08/12/2022 23:30:40",
"content": "everything about those problem",
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"timestamp": "08/12/2022 23:30:41",
"content": "Pinned a message.",
"attachments": [],
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"id": 1007853992577093800,
"author_id": 515319465722904600,
"author_name": "Equinox",
"timestamp": "08/12/2022 23:31:56",
"content": "I can’t solve this problem and i’ve tried so hard",
"attachments": [],
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},
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"id": 1007854379262554100,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:33:29",
"content": "What is this z”",
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"id": 1007854513069248500,
"author_id": 515319465722904600,
"author_name": "Equinox",
"timestamp": "08/12/2022 23:34:00",
"content": "supposed to be and x lol",
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},
{
"id": 1007854553779159200,
"author_id": 515319465722904600,
"author_name": "Equinox",
"timestamp": "08/12/2022 23:34:10",
"content": "my fault",
"attachments": [],
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},
{
"id": 1007854572527689900,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:34:15",
"content": "And what is x”?",
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},
{
"id": 1007854609592766600,
"author_id": 515319465722904600,
"author_name": "Equinox",
"timestamp": "08/12/2022 23:34:23",
"content": "x to the power of 11",
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},
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"id": 1007854643109437600,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:34:31",
"content": "g(x)=x^11 use f’=gh’+g’h ,rest is clear",
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"id": 1007854703146717200,
"author_id": 515319465722904600,
"author_name": "Equinox",
"timestamp": "08/12/2022 23:34:46",
"content": "my brains lost",
"attachments": [],
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},
{
"id": 1007854766564585500,
"author_id": 515319465722904600,
"author_name": "Equinox",
"timestamp": "08/12/2022 23:35:01",
"content": "idk calculus very well lol",
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"id": 1007854840480805000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/12/2022 23:35:19",
"content": "Are you currently taking calculus?",
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"author_name": "Equinox",
"timestamp": "08/12/2022 23:35:46",
"content": "yea it’s more of practice courses i go to college in a week so i’m trying to get a head start but i’m confused",
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"author_name": "dldh06",
"timestamp": "08/12/2022 23:36:20",
"content": "So you know calculus but want to get a head start in calculus?",
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"id": 1007855129267015800,
"author_id": 515319465722904600,
"author_name": "Equinox",
"timestamp": "08/12/2022 23:36:27",
"content": "what’s the answer for that problem lol bc i got 11(-1)10",
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"id": 1007855194945622000,
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"author_name": "Equinox",
"timestamp": "08/12/2022 23:36:43",
"content": "i don’t know it that well",
"attachments": [],
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"id": 1007855267418996900,
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"author_name": "Equinox",
"timestamp": "08/12/2022 23:37:00",
"content": "is my answer correct?",
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"id": 1007855363883810800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/12/2022 23:37:23",
"content": "Definitely not",
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},
{
"id": 1007855378240909400,
"author_id": 515319465722904600,
"author_name": "Equinox",
"timestamp": "08/12/2022 23:37:27",
"content": "o",
"attachments": [],
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},
{
"id": 1007855400890138600,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:37:32",
"content": "27",
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},
{
"id": 1007855426404090000,
"author_id": 515319465722904600,
"author_name": "Equinox",
"timestamp": "08/12/2022 23:37:38",
"content": "?",
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},
{
"id": 1007855554825289700,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:38:09",
"content": "Your Answer is not correct",
"attachments": [],
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},
{
"id": 1007855566808416300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:38:12",
"content": "Should be 27",
"attachments": [],
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},
{
"id": 1007855586941083600,
"author_id": 515319465722904600,
"author_name": "Equinox",
"timestamp": "08/12/2022 23:38:16",
"content": "o",
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},
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"id": 1007855643476119700,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:38:30",
"content": "Check your textbook",
"attachments": [],
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},
{
"id": 1007855657661239400,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:38:33",
"content": "Product rule",
"attachments": [],
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"id": 1007855726317809800,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:38:50",
"content": "Or prove it yourself",
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"id": 1007855762040688600,
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"author_name": "Equinox",
"timestamp": "08/12/2022 23:38:58",
"content": "yea it says use product rule",
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"author_name": "dldh06",
"timestamp": "08/12/2022 23:39:08",
"content": "Then I either suggest you learn calculus from the beginning or wait until you learn it in college",
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"timestamp": "08/12/2022 23:39:33",
"content": "So why exactly did you give the answer?",
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"timestamp": "08/12/2022 23:39:40",
"content": "yea true i didn’t know where to start so i tried",
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{
"id": 1007855941141676000,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "08/12/2022 23:39:41",
"content": "what's that z''?",
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"id": 1007855968559825000,
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"author_name": "Equinox",
"timestamp": "08/12/2022 23:39:47",
"content": "supposed to be x",
"attachments": [],
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},
{
"id": 1007855972410200200,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "08/12/2022 23:39:48",
"content": "a known constant or something?",
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},
{
"id": 1007856002730827800,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "08/12/2022 23:39:56",
"content": "oh",
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"author_name": "Equinox",
"timestamp": "08/12/2022 23:39:58",
"content": "x to the power of 11",
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},
{
"id": 1007856068656906400,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "08/12/2022 23:40:11",
"content": "$z''=x^{11}$?",
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},
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"id": 1007856133924470900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/12/2022 23:40:27",
"content": "**Normal Zeta**",
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"author_id": 515319465722904600,
"author_name": "Equinox",
"timestamp": "08/12/2022 23:40:40",
"content": "now i’m more confused",
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"timestamp": "08/12/2022 23:41:02",
"content": "well",
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"timestamp": "08/12/2022 23:41:06",
"content": "this is straiggtforward",
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"author_name": "dldh06",
"timestamp": "08/12/2022 23:41:08",
"content": "The problem is $f(x) = x^{11}h(x)$",
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"author_name": "TeXit",
"timestamp": "08/12/2022 23:41:10",
"content": "**dldh06**",
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"timestamp": "08/12/2022 23:41:15",
"content": "just use product rule",
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"author_name": "Equinox",
"timestamp": "08/12/2022 23:41:20",
"content": "idk what that is",
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/12/2022 23:41:23",
"content": "It's just horribly written",
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"author_name": "dldh06",
"timestamp": "08/12/2022 23:41:36",
"content": "> Then I either suggest you learn calculus from the beginning or wait until you learn it in college",
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"timestamp": "08/12/2022 23:41:58",
"content": "it states that \n\n$\\frac{d}{dx} f(x) g(x)=f'(x) g(x) + f(x) g'(x)$",
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"timestamp": "08/12/2022 23:42:01",
"content": "**Normal Zeta**",
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"author_name": "dldh06",
"timestamp": "08/12/2022 23:42:06",
"content": "If you don't have a good foundation of calculus, it's going to make it hard for you to apply the concepts stated",
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"id": 1007856584346570800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/12/2022 23:42:14",
"content": "Since you don't know it",
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"id": 1007856594714906600,
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"author_name": "",
"timestamp": "08/12/2022 23:42:17",
"content": "tho you should preferabbly learn how to prove it before using it u can try yourself",
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"id": 1007856596124184600,
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"author_name": "Equinox",
"timestamp": "08/12/2022 23:42:17",
"content": "and than it says “calculate f^1(-1)",
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/12/2022 23:42:46",
"content": "Is this a textbook problem?",
"attachments": [],
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"id": 1007856743440719900,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/12/2022 23:42:52",
"content": "Or problem from a site?",
"attachments": [],
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},
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"id": 1007856758833815700,
"author_id": 515319465722904600,
"author_name": "Equinox",
"timestamp": "08/12/2022 23:42:56",
"content": "no website problem",
"attachments": [],
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},
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"id": 1007856793088692200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/12/2022 23:43:04",
"content": "Post a screenshot of that",
"attachments": [],
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},
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"author_name": "Equinox",
"timestamp": "08/12/2022 23:43:45",
"content": "",
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"id": 1007857012127846700,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:43:56",
"content": "Can you just check you textbook",
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"id": 1007857037566283800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/12/2022 23:44:02",
"content": "What's the question asked?",
"attachments": [],
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},
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"id": 1007857051512340500,
"author_id": 515319465722904600,
"author_name": "Equinox",
"timestamp": "08/12/2022 23:44:06",
"content": "i don’t have a text book yet",
"attachments": [],
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"id": 1007857053739528300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:44:06",
"content": "It’s your homework, you suppose to know",
"attachments": [],
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"id": 1007857112333942900,
"author_id": 515319465722904600,
"author_name": "Equinox",
"timestamp": "08/12/2022 23:44:20",
"content": "it’s not homework its practice",
"attachments": [],
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"id": 1007857165412864000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:44:33",
"content": "Still",
"attachments": [],
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},
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"id": 1007857189303627900,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/12/2022 23:44:39",
"content": "It's not really practice if you don't know it at all",
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"author_name": "dldh06",
"timestamp": "08/12/2022 23:44:51",
"content": "You should actually go learn it",
"attachments": [],
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"id": 1007857258719363100,
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"timestamp": "08/12/2022 23:44:55",
"content": "well it's not like u can't do it without knowing formulas",
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"id": 1007857262829777000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/12/2022 23:44:56",
"content": "You suppose to know things to solve your practice, otherwise why you were given this practice",
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"id": 1007857275509162000,
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"author_name": "Equinox",
"timestamp": "08/12/2022 23:44:59",
"content": "yea we’ll i’m just trying to understand it so i’m not in college looking stupid",
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{
"id": 1007857299324407800,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "08/12/2022 23:45:05",
"content": "as long as you know principles it's solvable",
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{
"id": 1007857373282570200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/12/2022 23:45:22",
"content": "Understanding it vs learning it is two different things",
"attachments": [],
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},
{
"id": 1007857442798972900,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/12/2022 23:45:39",
"content": "You need to learn it to apply it",
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"id": 1007857511728169000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/12/2022 23:45:55",
"content": "It's like you're trying to run before you walk",
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"id": 1007857616178921500,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/12/2022 23:46:20",
"content": "You're trying to speed your process too fast by not knowing prior concepts",
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"id": 1007857794055164000,
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"author_name": "dldh06",
"timestamp": "08/12/2022 23:47:03",
"content": "So as I suggest, learn calculus from the start to end, without skipping steps, or wait until college starts and learn it there",
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"author_name": "dldh06",
"timestamp": "08/12/2022 23:47:27",
"content": "College goes at a decent enough pace where you actually learn it and understand it",
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"author_name": "Equinox",
"timestamp": "08/12/2022 23:47:34",
"content": "is that basic calculus or more advanced?",
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"id": 1007857952650174600,
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"timestamp": "08/12/2022 23:47:41",
"content": "pretty basic",
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"timestamp": "08/12/2022 23:47:46",
"content": ":catThink:",
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"timestamp": "08/13/2022 00:02:34",
"content": "@Equinox Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
0ad2e5e7779e4ca1996dcab00fbe43ba
|
197,796 |
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"content": "Available help channel!",
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"timestamp": "08/13/2022 00:22:45",
"content": "i basically put it into one side and tried the use the difference of squares",
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"id": 1007866839856058500,
"author_id": 211914520413732860,
"author_name": "florence",
"timestamp": "08/13/2022 00:22:59",
"content": "but it took really long and i still got the answer wrong",
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"id": 1007867937589305500,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "08/13/2022 00:27:21",
"content": "Hint: sin²+cos²=1",
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"id": 1007868923804385300,
"author_id": 211914520413732860,
"author_name": "florence",
"timestamp": "08/13/2022 00:31:16",
"content": "ohhh",
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"id": 1007868941198172200,
"author_id": 211914520413732860,
"author_name": "florence",
"timestamp": "08/13/2022 00:31:20",
"content": "i see thank u very much",
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"timestamp": "08/13/2022 00:33:00",
"content": "just do \n\n$3sin^2(x)=cos^2(x)$ \n\n$\\implies cot^2(x)=3$ \n\n$\\implies cot(x)= \\pm \\sqrt{3}$",
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"timestamp": "08/13/2022 00:33:03",
"content": "**Normal Zeta**",
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"timestamp": "08/13/2022 00:33:33",
"content": "dividing both sides by sin^2 basically",
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"id": 1007870666386723000,
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"timestamp": "08/13/2022 00:38:12",
"content": "a note to always check is that the step wad valid because sin^2 cannot be 0 because 3*0=0 and cos^2=1-sin^2=1-0=1",
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"id": 1007870753460473900,
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"timestamp": "08/13/2022 00:38:32",
"content": "otherwise we would have been dividing by 0",
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"timestamp": "08/13/2022 00:39:15",
"content": "okok i see tyy",
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"timestamp": "08/13/2022 00:54:15",
"content": "@florence Has your question been resolved?",
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help-9
|
974b843d58be45269c194c2e3f1d5fbe
|
197,797 |
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"author_id": 213395428555751420,
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"timestamp": "08/13/2022 02:18:33",
"content": "How do I find the volume? I keep solving it and getting it wrong",
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"timestamp": "08/13/2022 02:19:12",
"content": "find the area of the right angled triangle",
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"timestamp": "08/13/2022 02:19:19",
"content": "and the multiply by 77",
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"timestamp": "08/13/2022 02:19:26",
"content": "its should get you volume",
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"timestamp": "08/13/2022 02:34:40",
"content": "@wickk Has your question been resolved?",
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"id": 1007903051589374000,
"author_id": 213395428555751420,
"author_name": "nn-zeon",
"timestamp": "08/13/2022 02:46:53",
"content": "@Helpers",
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},
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"id": 1007903754206597100,
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"author_name": "Mathematics Bot",
"timestamp": "08/13/2022 02:49:40",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
4d4611b58c774882b813812121aca57d
|
197,798 |
[
{
"id": 1007904006972112900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/13/2022 02:50:41",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1007907240382054400,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/13/2022 03:03:32",
"content": "how to do question b?",
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"author_name": "Mathematics Bot",
"timestamp": "08/13/2022 03:03:32",
"content": "Pinned a message.",
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"id": 1007907481479036900,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/13/2022 03:04:29",
"content": "Fail 1st try = 119/125 \nPass 2nd try = 21/200\nfail 2nd try = 179/200\nfail 3rd try = 179/200\npass 4th try = 21/200",
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},
{
"id": 1007907667525763100,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/13/2022 03:05:13",
"content": "therefore P(FFFP) = 119/125x79/200x179/200x21/200",
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},
{
"id": 1007907938091925500,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/13/2022 03:06:18",
"content": "thats my working out",
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},
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"id": 1007911713988948000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/13/2022 03:21:18",
"content": "@meatwagon Has your question been resolved?",
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"timestamp": "08/13/2022 03:51:22",
"content": "@meatwagon Has your question been resolved?",
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"timestamp": "08/13/2022 04:21:24",
"content": "Channel closed",
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}
] |
help-9
|
67854a3555c6439aa7d182a7330bb66a
|
197,799 |
[
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"timestamp": "08/13/2022 04:22:23",
"content": "Available help channel!",
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},
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"id": 1007930911725195300,
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"timestamp": "08/13/2022 04:37:36",
"content": "Pinned a message.",
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"author_id": 675238101253226500,
"author_name": "awoomywang",
"timestamp": "08/13/2022 04:37:40",
"content": "Not sure how to do 1A",
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},
{
"id": 1007931356409512100,
"author_id": 833992497076240400,
"author_name": "divyansh",
"timestamp": "08/13/2022 04:39:21",
"content": "draw image of y=4^x in the line y=x",
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},
{
"id": 1007932753225994200,
"author_id": 675238101253226500,
"author_name": "awoomywang",
"timestamp": "08/13/2022 04:44:54",
"content": "what's y=x",
"attachments": [],
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"id": 1007932815364608100,
"author_id": 833992497076240400,
"author_name": "divyansh",
"timestamp": "08/13/2022 04:45:09",
"content": "a line lol",
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},
{
"id": 1007932882897096700,
"author_id": 675238101253226500,
"author_name": "awoomywang",
"timestamp": "08/13/2022 04:45:25",
"content": "I'm confised",
"attachments": [],
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},
{
"id": 1007932997464494100,
"author_id": 833992497076240400,
"author_name": "divyansh",
"timestamp": "08/13/2022 04:45:53",
"content": "see logx toe base 4 is actually the inverse of 4^x",
"attachments": [],
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},
{
"id": 1007933166075519000,
"author_id": 833992497076240400,
"author_name": "divyansh",
"timestamp": "08/13/2022 04:46:33",
"content": "so when u wanna graph inverse of a func u just take image of the func in the line y=x",
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},
{
"id": 1007933315183018000,
"author_id": 675238101253226500,
"author_name": "awoomywang",
"timestamp": "08/13/2022 04:47:08",
"content": "But what is the line y = x",
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},
{
"id": 1007933399387869300,
"author_id": 833992497076240400,
"author_name": "divyansh",
"timestamp": "08/13/2022 04:47:28",
"content": "u asking the logic behind this",
"attachments": [],
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},
{
"id": 1007937091096821800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/13/2022 05:02:09",
"content": "@awoomywang Has your question been resolved?",
"attachments": [],
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"timestamp": "08/13/2022 05:04:33",
"content": "Channel closed",
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}
] |
help-9
|
aece823ead3d4fde8735e4c00d261dda
|
197,800 |
[
{
"id": 1007942601644720300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/13/2022 05:24:02",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1007947571911737300,
"author_id": 237288889826541570,
"author_name": "! matthewzz",
"timestamp": "08/13/2022 05:43:47",
"content": "why does rank(T) ≤ dim(W); T is linear map from T: V ->W",
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},
{
"id": 1007947573685911600,
"author_id": 805217272087838700,
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"timestamp": "08/13/2022 05:43:48",
"content": "Pinned a message.",
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{
"id": 1007947709140971500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/13/2022 05:44:20",
"content": "what is your definition of rank?",
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},
{
"id": 1007947762807099400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/13/2022 05:44:33",
"content": "if it's dim(im(T)) then the fact that rank(T) <= dim(W) almost blindingly obvious",
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},
{
"id": 1007947798026666000,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 05:44:41",
"content": "The dimension of the output space can't be bigger than the dimension of the space it lies in",
"attachments": [],
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},
{
"id": 1007951316515037200,
"author_id": 237288889826541570,
"author_name": "! matthewzz",
"timestamp": "08/13/2022 05:58:40",
"content": "oh wow thanks so helpful",
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"author_id": 237288889826541570,
"author_name": "! matthewzz",
"timestamp": "08/13/2022 05:59:51",
"content": ".close",
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},
{
"id": 1007951612855210000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/13/2022 05:59:51",
"content": "Channel closed",
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}
] |
help-9
|
5b67aeb685dd4ebf8c90c6b5f74b5317
|
197,801 |
[
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"timestamp": "08/13/2022 06:00:51",
"content": "Available help channel!",
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},
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"id": 1007961394420920400,
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"content": "Pinned a message.",
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"author_name": "awoomywang",
"timestamp": "08/13/2022 06:38:46",
"content": "Need help for 5",
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"id": 1007961433788645400,
"author_id": 675238101253226500,
"author_name": "awoomywang",
"timestamp": "08/13/2022 06:38:52",
"content": "In particular b",
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},
{
"id": 1007963990896427100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/13/2022 06:49:02",
"content": "was this sarcastic or genuine?",
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"id": 1007964016733339600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/13/2022 06:49:08",
"content": "(sorry for the interruption)",
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},
{
"id": 1007964145561387100,
"author_id": 675238101253226500,
"author_name": "awoomywang",
"timestamp": "08/13/2022 06:49:39",
"content": "d)",
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},
{
"id": 1007967921361911800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/13/2022 07:04:39",
"content": "@awoomywang Has your question been resolved?",
"attachments": [],
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"id": 1007974410147336200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/13/2022 07:30:26",
"content": "what trouble were you having?",
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},
{
"id": 1007974434537226400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/13/2022 07:30:32",
"content": "were you able to do part a)",
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},
{
"id": 1007976952247890000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/13/2022 07:40:32",
"content": "@awoomywang Has your question been resolved?",
"attachments": [],
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"timestamp": "08/13/2022 07:42:03",
"content": "Channel closed",
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}
] |
help-9
|
2036618d81054e4c80fc05b9a259d2a7
|
197,802 |
[
{
"id": 1007977586950950900,
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"author_name": "Mathematics Bot",
"timestamp": "08/13/2022 07:43:04",
"content": "Available help channel!",
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},
{
"id": 1007988983957028900,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "08/13/2022 08:28:21",
"content": "how to use partial fraction to do this ?",
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"id": 1007988985815121900,
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"timestamp": "08/13/2022 08:28:21",
"content": "Pinned a message.",
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{
"id": 1007989311226003600,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/13/2022 08:29:39",
"content": "1/k-1/(k+1)",
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},
{
"id": 1007989417107017700,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "08/13/2022 08:30:04",
"content": "can u write the process,",
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},
{
"id": 1007990319247265800,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/13/2022 08:33:39",
"content": "$f(x)=\\sum_{k=1}^{n}\\frac{x^{k+1}}{k(k+1)}$",
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},
{
"id": 1007990328617357300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/13/2022 08:33:41",
"content": "**Cogwheels of the mind**",
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},
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"id": 1007990382371541000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/13/2022 08:33:54",
"content": "You want to find f(-1)",
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},
{
"id": 1007990521572102100,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/13/2022 08:34:27",
"content": "Now $f”(x)=\\frac{x^{n}-1}{x-1}$",
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},
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"id": 1007990531000901600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/13/2022 08:34:30",
"content": "**Cogwheels of the mind**",
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"id": 1007990911621415000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/13/2022 08:36:00",
"content": "Wait got me nowhere",
"attachments": [],
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"reference": null
},
{
"id": 1007990936166486100,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/13/2022 08:36:06",
"content": "I need to rethink",
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},
{
"id": 1007990971008561300,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "08/13/2022 08:36:15",
"content": "okok",
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},
{
"id": 1007991084229591200,
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"author_name": "電波的な彼女",
"timestamp": "08/13/2022 08:36:42",
"content": "",
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{
"id": 1007991099865972900,
"author_id": 783697943176675300,
"author_name": "電波的な彼女",
"timestamp": "08/13/2022 08:36:45",
"content": "is it smth like this?",
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},
{
"id": 1007991144203964400,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/13/2022 08:36:56",
"content": "Not they don’t cancel each other",
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"timestamp": "08/13/2022 08:37:12",
"content": "1-1/2-1/2+1/3+1/3-1/4-1/4…",
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"timestamp": "08/13/2022 08:38:47",
"content": "how? You use addition to connect the sigma thing, so first k=1 is 1-1/2. Then you add the next k=2, 1/2-1/3",
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"timestamp": "08/13/2022 08:39:00",
"content": "Subtract the next",
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"timestamp": "08/13/2022 08:39:10",
"content": "Then add , then subtract…",
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"timestamp": "08/13/2022 08:39:41",
"content": "but isnt that subtract, subtract, add, add",
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"timestamp": "08/13/2022 08:39:50",
"content": "where it should it subtract, add, subtract",
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"timestamp": "08/13/2022 08:40:00",
"content": "(1-1/2)-(1/2-1/3)+(1/3-1/4)-…",
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"timestamp": "08/13/2022 08:40:27",
"content": "why is it subtract between the first two brackets",
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"timestamp": "08/13/2022 08:41:49",
"content": "Anyway it becomes $-1+\\frac{(-1)^{n}}{n+1}+2\\sum_{k=1}^{n}\\frac{(-1)^{k}}{k}$",
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"author_name": "TeXit",
"timestamp": "08/13/2022 08:41:52",
"content": "**Cogwheels of the mind**",
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"timestamp": "08/13/2022 08:42:18",
"content": "It’s the last term we need to solve now",
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"timestamp": "08/13/2022 08:43:08",
"content": "what, where did u get that thing😭",
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"timestamp": "08/13/2022 08:44:04",
"content": "(1-1/2)-(1/2-1/3)+(1/3-1/4)-…=1-(1/2+1/2)+(1/3+1/3)-(1/4+1/4)…",
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"timestamp": "08/13/2022 08:45:33",
"content": "bro what",
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"timestamp": "08/13/2022 08:45:37",
"content": "can you explain this",
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"timestamp": "08/13/2022 08:45:53",
"content": "Just expand it yourself you will see",
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"timestamp": "08/13/2022 08:45:55",
"content": "However",
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"timestamp": "08/13/2022 08:46:25",
"content": "I don’t think there are existing results of these, like Σ((-1)^k)/k",
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"timestamp": "08/13/2022 08:47:54",
"content": "You sure it’s the original question?",
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"author_name": "電波的な彼女",
"timestamp": "08/13/2022 08:48:51",
"content": "yes having the class today",
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"timestamp": "08/13/2022 08:48:54",
"content": "and its the homework lo",
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"author_name": "Cogwheels of the mind",
"timestamp": "08/13/2022 08:50:18",
"content": "Beyond my ability, others might help",
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"timestamp": "08/13/2022 08:50:55",
"content": "ok still thx tho",
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"author_name": "Deleted User c8a2bb85",
"timestamp": "08/13/2022 09:00:27",
"content": "what does \"do this\" mean?",
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"timestamp": "08/13/2022 09:00:40",
"content": "solve this question",
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"timestamp": "08/13/2022 09:01:14",
"content": "Still doesn't mean anything",
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"timestamp": "08/13/2022 09:01:19",
"content": "lol",
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"author_name": "Deleted User c8a2bb85",
"timestamp": "08/13/2022 09:01:20",
"content": "give more detail on the question",
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"timestamp": "08/13/2022 09:01:22",
"content": "wtf",
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"author_name": "電波的な彼女",
"timestamp": "08/13/2022 09:01:29",
"content": "chris hu is dying",
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"timestamp": "08/13/2022 09:01:33",
"content": "idc",
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"timestamp": "08/13/2022 09:01:42",
"content": "",
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"timestamp": "08/13/2022 09:01:51",
"content": "perfect",
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"author_name": "電波的な彼女",
"timestamp": "08/13/2022 09:01:51",
"content": "no context=context",
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"id": 1007997439329980500,
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"timestamp": "08/13/2022 09:01:57",
"content": "i solved 1 a",
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"timestamp": "08/13/2022 09:01:59",
"content": "if u want to see",
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"timestamp": "08/13/2022 09:02:02",
"content": "na",
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"timestamp": "08/13/2022 09:02:02",
"content": "chris hu's work",
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"timestamp": "08/13/2022 09:02:04",
"content": "im good",
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"timestamp": "08/13/2022 09:02:12",
"content": "ye this is better context",
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"timestamp": "08/13/2022 09:02:19",
"content": "OK THX BRo",
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"timestamp": "08/13/2022 09:02:26",
"content": "CHRIS HU IS ON THE BRINK OF COLLAPSE",
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"timestamp": "08/13/2022 09:02:26",
"content": "why is there a star next to b and i",
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"timestamp": "08/13/2022 09:02:31",
"content": "idk",
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"timestamp": "08/13/2022 09:02:35",
"content": "maybe vthe teacher was high on drug",
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"timestamp": "08/13/2022 09:02:38",
"content": "lol",
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"timestamp": "08/13/2022 09:02:55",
"content": "b) is hard tbh, wait I'll look it up",
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"id": 1007997798001672300,
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"author_name": "themateo713",
"timestamp": "08/13/2022 09:03:22",
"content": "Cogwheels doesn't know",
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"timestamp": "08/13/2022 09:03:54",
"content": "found it",
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"author_name": "R00tKiT",
"timestamp": "08/13/2022 09:03:57",
"content": "https://homework.study.com/explanation/by-the-alternating-series-test-the-series-sum-of-4-1-k-plus-1-k-k-plus-2-from-k-1-to-infinity-converges-find-its-sum-first-find-the-partial-fraction-decomposition-of-4-k-k-plus-2-then-find-the-limit-of-the-partial-sums.html",
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"timestamp": "08/13/2022 09:04:04",
"content": "LMAO wHAT",
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"timestamp": "08/13/2022 09:04:39",
"content": "There's k+2 not k+1",
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"timestamp": "08/13/2022 09:05:21",
"content": "ig similiar logic, lemme take a look",
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"timestamp": "08/13/2022 09:05:22",
"content": "k+1 here",
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"timestamp": "08/13/2022 09:06:34",
"content": "nah not same logic",
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"timestamp": "08/13/2022 09:06:34",
"content": "xd",
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"timestamp": "08/13/2022 09:06:44",
"content": "lol",
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"timestamp": "08/13/2022 09:06:47",
"content": "the one on (b) is much transcendental",
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"timestamp": "08/13/2022 09:07:18",
"content": "Doesn't carry over",
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"timestamp": "08/13/2022 09:07:25",
"content": "That’s completely different. Determining whether the infinite sum converges we just use alternate rule. Calculating sum of n terms sounds impossible to me",
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"timestamp": "08/13/2022 09:07:50",
"content": "cogwheels of the mind seems so legit and good at math,",
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"timestamp": "08/13/2022 09:07:56",
"content": "even cogwheel cant do it",
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"timestamp": "08/13/2022 09:08:03",
"content": "😭",
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"author_name": "divyansh",
"timestamp": "08/13/2022 09:08:31",
"content": "how can u calc sum of harmonic progression",
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"timestamp": "08/13/2022 09:08:43",
"content": "it cant be calc ig",
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"timestamp": "08/13/2022 09:08:49",
"content": "basically this",
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"timestamp": "08/13/2022 09:08:53",
"content": "I don't see why you acn't apply the same steps to k+1",
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"timestamp": "08/13/2022 09:08:58",
"content": "its not, there is a thing called gneerating function",
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"content": "same for (i) they are quite non-elementary too",
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"content": "how to do e",
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"content": "use this after dividing the sum",
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"content": "e has squares",
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"content": "we have a partial sum",
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"content": "okay let's take the partial sum",
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"content": "i dont know partial fraction for squared stuff",
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"content": "what is squared",
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"content": "how to partial fraction that thing",
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"content": "ill just listen in class for 1b",
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"timestamp": "08/13/2022 09:12:50",
"content": "but the others one",
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"content": "i dont know partial fraction that well",
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"content": "like i know",
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"content": "u try to make it like",
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"timestamp": "08/13/2022 09:13:20",
"content": "2k+1=(k+1)^2-k^2",
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"content": "thats it",
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"content": "bruh",
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"content": "can u write more intermediate steps, im really confused",
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"timestamp": "08/13/2022 09:14:07",
"content": "(e) = 1/k² - 1/(k+1)²",
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"content": "rest is a^2-b^@",
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"timestamp": "08/13/2022 09:14:47",
"content": "k+1-k)(k+1+k",
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"timestamp": "08/13/2022 09:14:50",
"content": "https://www.purplemath.com/modules/partfrac.htm",
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"content": "there u go",
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"timestamp": "08/13/2022 09:14:56",
"content": "can i get it by following this website's steps",
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"timestamp": "08/13/2022 09:15:43",
"content": "ik for 1a, u do this",
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"timestamp": "08/13/2022 09:15:48",
"content": "but im still not gettin 1e",
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"content": "how",
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"timestamp": "08/13/2022 09:16:48",
"content": "just substract 2k+1-(2k-1",
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"author_name": "TeXit",
"timestamp": "08/13/2022 09:16:50",
"content": "**𝖆𝖓𝖌𝖊𝖑**",
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"timestamp": "08/13/2022 09:16:52",
"content": "you do the math now",
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"timestamp": "08/13/2022 09:17:40",
"content": "but the steps u got to the simplified version of partial fraction",
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"timestamp": "08/13/2022 09:17:45",
"content": "ik after that, solving sum is not hard",
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"content": "yes you do the math for it",
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"timestamp": "08/13/2022 09:17:53",
"content": "but 1/k^2=1/k+1 thing",
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"content": "like how did u derive that",
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"timestamp": "08/13/2022 09:18:06",
"content": "yes you think about it",
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"timestamp": "08/13/2022 09:18:15",
"content": "what, i have no braincells ,can u explain",
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"timestamp": "08/13/2022 09:19:31",
"content": "ok following the traditional steps, wouldnt u do a/k^2+b/(k+1)^",
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"timestamp": "08/13/2022 09:19:31",
"content": "you need some to understand any explanation",
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"timestamp": "08/13/2022 09:19:39",
"content": "and try to determine a and b",
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"timestamp": "08/13/2022 09:19:44",
"content": "I am sure you have them",
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"author_name": "Cogwheels of the mind",
"timestamp": "08/13/2022 09:20:26",
"content": "Really strange homework… g is essentially the same as b, also seems impossible to solve for me… h essentially becomes sum of 1/k^2, also seems impossible… what kind of homework is that 😂, three of them, b,g,h are extremely hard",
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"timestamp": "08/13/2022 09:21:00",
"content": "is h hard though ?",
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"timestamp": "08/13/2022 09:21:10",
"content": "If you can calculate h then",
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"timestamp": "08/13/2022 09:21:26",
"content": "(1/k-1/(k+1))^2",
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"content": "We can calculate Σ1/k(k+1)",
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"content": "Then you know how to calculate Σ1/k^2",
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"timestamp": "08/13/2022 09:21:59",
"content": "bro..",
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"content": "well this one is easy, telescoping series",
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"content": "it's the alternating version that's hard no ?",
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"content": "telescoping",
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"content": "dont split the sum",
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"content": "what ?",
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"timestamp": "08/13/2022 09:22:32",
"content": "1/k^2 isn't telecsoping lol",
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"timestamp": "08/13/2022 09:22:40",
"content": "read what i said",
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"timestamp": "08/13/2022 09:22:43",
"content": "I mean, you knowing how to solve h is equivalent to you knowing how to solve Σ1/k^2",
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"content": "lmfaoo",
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"content": "you quoted 1/k^2 and said telescoping, maybe I misunderstood",
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"timestamp": "08/13/2022 09:23:57",
"content": "Doesn’t matter. You solved h then you can solve Σ1/k^2, I don’t think we can solve Σ1/k^2",
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"timestamp": "08/13/2022 09:24:05",
"content": "probably probably the homework meant infinity, not n",
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"timestamp": "08/13/2022 09:24:16",
"content": "and they're asking you for the sum when n tends to infnity",
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"content": "hey g can be done by tescoping just multiply and divide by 2",
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"timestamp": "08/13/2022 09:24:42",
"content": "ok lemme do it",
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"timestamp": "08/13/2022 09:24:53",
"content": "Odd are negative, even are positive",
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"timestamp": "08/13/2022 09:24:53",
"content": "this aint goin no where with out a paper tbh",
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"timestamp": "08/13/2022 09:25:08",
"content": "They Don’t cancel each other",
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"author_name": "divyansh",
"timestamp": "08/13/2022 09:26:10",
"content": "what the hell yeah",
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"timestamp": "08/13/2022 09:26:39",
"content": "And I forgot i",
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"timestamp": "08/13/2022 09:26:52",
"content": "So four unsolvable questions b,g,h,i",
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"timestamp": "08/13/2022 09:27:00",
"content": "okay so the main problem is that there no formula for the partial sum of the alternating harmonic series",
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"timestamp": "08/13/2022 09:27:03",
"content": "is that it ?",
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"timestamp": "08/13/2022 09:27:05",
"content": "Calculating limit sounds more reasonable",
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"timestamp": "08/13/2022 09:27:20",
"content": "Probably",
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"timestamp": "08/13/2022 09:27:28",
"content": "We only know its limit",
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"timestamp": "08/13/2022 09:27:33",
"content": "lmao",
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"timestamp": "08/13/2022 09:27:40",
"content": "i think n tends to inf",
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"timestamp": "08/13/2022 09:27:49",
"content": "ok guys i think i got partial fraction lemme send my work for e",
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"timestamp": "08/13/2022 09:28:33",
"content": "we also have a relationship between partial sum of odd terms and that of even terms, but not sure this is helpful",
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"timestamp": "08/13/2022 09:28:42",
"content": "is this correct partial fraction",
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"timestamp": "08/13/2022 09:30:00",
"content": "and then u plug it in to the sigma",
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"timestamp": "08/13/2022 09:30:01",
"content": "and get",
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"timestamp": "08/13/2022 09:30:17",
"content": "yes probably",
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"timestamp": "08/13/2022 09:30:18",
"content": "(1-1/4)+(1/4-1/9)+(1/9)",
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"timestamp": "08/13/2022 09:30:19",
"content": "etc",
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"author_name": "電波的な彼女",
"timestamp": "08/13/2022 09:31:08",
"content": "is this correct guys😭",
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"author_name": "Deleted User c8a2bb85",
"timestamp": "08/13/2022 09:31:31",
"content": "yes also transcendental (h)",
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"timestamp": "08/13/2022 09:32:26",
"content": "LEZ GO, at least i got some of the questions",
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"timestamp": "08/13/2022 09:32:28",
"content": "can you show the full page or sheet",
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"timestamp": "08/13/2022 09:32:34",
"content": "of this problem",
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"timestamp": "08/13/2022 09:32:35",
"content": "yay sure, ill send",
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"timestamp": "08/13/2022 09:32:42",
"content": "do i ask for b, g, and h?",
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"timestamp": "08/13/2022 09:32:44",
"content": "to confirm",
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"timestamp": "08/13/2022 09:32:49",
"content": "yes also g is transcendental",
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"timestamp": "08/13/2022 09:33:02",
"content": "wdym by transcendental though",
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"timestamp": "08/13/2022 09:33:08",
"content": "not in the realm of",
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"timestamp": "08/13/2022 09:33:10",
"content": "metaphysics",
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"timestamp": "08/13/2022 09:33:12",
"content": "and its",
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{
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"timestamp": "08/13/2022 09:33:15",
"content": "transcendental",
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"author_name": "Deleted User c8a2bb85",
"timestamp": "08/13/2022 09:33:15",
"content": "needs more non-elementary functions",
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{
"id": 1008005323270914000,
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"timestamp": "08/13/2022 09:33:16",
"content": "uk",
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"id": 1008005356896649300,
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"timestamp": "08/13/2022 09:33:24",
"content": "lol",
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"timestamp": "08/13/2022 09:33:28",
"content": "ah I see",
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"timestamp": "08/13/2022 09:33:31",
"content": "ym no closed formula",
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"timestamp": "08/13/2022 09:33:42",
"content": "digamma, mascherony, etc",
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"author_name": "電波的な彼女",
"timestamp": "08/13/2022 09:33:43",
"content": "il dude, im gonna record ur usernames",
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"author_name": "電波的な彼女",
"timestamp": "08/13/2022 09:33:48",
"content": "and pin u guys once i get the answers",
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"timestamp": "08/13/2022 09:33:48",
"content": "leschter",
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"timestamp": "08/13/2022 09:34:04",
"content": "okay this is chinese for me 2",
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"timestamp": "08/13/2022 09:34:21",
"content": "ping me too",
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"content": "ok L",
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"content": "if n is not infinity don't waste your time",
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"content": "there aren't any formulas for partial sum",
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"content": "b is surely not doable",
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"timestamp": "08/13/2022 09:35:09",
"content": "ig thats why theres a star beside i tlol",
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"content": "even the easier sum $\\sum \\frac1{k}$ doesn't have a closed formula for partial sum",
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"timestamp": "08/13/2022 09:35:55",
"content": "**AimaneSN**",
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"content": "and we know A LOT about harmonic series",
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"content": "but we don't have closed formula for a partial sum so...",
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"content": "well ur question in",
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"timestamp": "08/13/2022 09:37:09",
"content": "bghi are exactly all unsolvable I think, rest is done.",
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"content": "#competition-math",
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"timestamp": "08/13/2022 09:37:17",
"content": "looks interesting",
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"content": "I can't believe g can't be done lol.",
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"content": "like why",
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"timestamp": "08/13/2022 09:38:37",
"content": "Others are trivial, c I used (k+1/2)/(k+1)(k+2)",
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"content": "its just the 1/even - 1/ odd",
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"timestamp": "08/13/2022 09:39:54",
"content": "yup exactly , but the terms don't cancel each other",
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"timestamp": "08/13/2022 09:40:01",
"content": "yeahhh",
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"timestamp": "08/13/2022 09:40:07",
"content": "which means we're doomed lol",
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"timestamp": "08/13/2022 09:40:34",
"content": "initially I thought they cancel out",
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"timestamp": "08/13/2022 09:40:35",
"content": "but nope",
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"timestamp": "08/13/2022 09:40:55",
"content": "Knowing how to solve b is equivalent to knowing how to solve Σ(-1)^k/k, is equivalent to knowing how to solve g. Knowing how to solve h is equivalent to knowing how to solve Σ1/k^2. i itself looks unsolvable",
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"timestamp": "08/13/2022 09:41:01",
"content": "me too",
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"timestamp": "08/13/2022 09:41:03",
"content": "lmao",
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"timestamp": "08/13/2022 09:41:45",
"content": "yeah Σ1/k^2 definitely doesn't have a formula for partial sum",
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"timestamp": "08/13/2022 09:41:59",
"content": "anyway I am 99% sure the homework is mtaken and they meant infinity",
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"timestamp": "08/13/2022 09:42:29",
"content": "Same guess, the reason why I asked him whether it’s the original question in the beginning",
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"timestamp": "08/13/2022 09:42:40",
"content": "or maybe the professor thought b g h are trivial just like we thought g was easy in the beginning",
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"timestamp": "08/13/2022 09:43:07",
"content": "I asked to put the entire sheet of problem and he ran away",
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"timestamp": "08/13/2022 09:43:39",
"content": "😂",
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"author_name": "divyansh",
"timestamp": "08/13/2022 09:43:51",
"content": ":KEK:",
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"timestamp": "08/13/2022 09:50:09",
"content": "@電波的な彼女 Has your question been resolved?",
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"content": "",
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"timestamp": "08/13/2022 09:56:38",
"content": "is this the partial fraction for C",
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"timestamp": "08/13/2022 09:58:02",
"content": "what",
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"timestamp": "08/13/2022 09:58:46",
"content": "Let a_k be this , (k+0.5)/(k+1)(k+2)",
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"timestamp": "08/13/2022 09:58:56",
"content": "Check what a_k-a_(k+1) equals",
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"author_name": "電波的な彼女",
"timestamp": "08/13/2022 10:01:44",
"content": "whats wrong with my process tho?",
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"timestamp": "08/13/2022 10:05:10",
"content": "Channel closed",
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] |
help-9
|
68130282a2844c8ab944994fcff5f77f
|
197,803 |
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"timestamp": "08/13/2022 10:06:10",
"content": "Available help channel!",
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{
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"content": "Pinned a message.",
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"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/13/2022 10:07:34",
"content": "Im having some trouble showing NnH is a subgrp of NH",
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{
"id": 1008014015286481000,
"author_id": 437300702960812000,
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"timestamp": "08/13/2022 10:07:49",
"content": "So, I know NnH is a subset of N and it is a subset of H",
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"id": 1008014101286494300,
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"timestamp": "08/13/2022 10:08:09",
"content": "Then by subgroup test, we show for any a,b in NnH, ab in NnH",
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"id": 1008014461321347100,
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"content": "Because of this, then a = n (or h) and b = n (or h) for some n in N (or h in H)",
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"timestamp": "08/13/2022 10:10:38",
"content": "So what can't you do?",
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"timestamp": "08/13/2022 10:10:49",
"content": "Any x from N, y from H. Any z from intersection of N and H, (xy)z(xy)^-1=x(yzy^-1)x^-1=yzy^-1 belongs to intersection of N and H",
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"timestamp": "08/13/2022 10:11:14",
"content": "(Because yzy^-1 belongs to N since N is normal, it commutes with x or x^-1, and it also belongs to H since y,z are from H)",
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"id": 1008015335242338400,
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"timestamp": "08/13/2022 10:13:03",
"content": "oh ok",
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"timestamp": "08/13/2022 10:13:55",
"content": "this finishes the proof right",
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"timestamp": "08/13/2022 10:14:00",
"content": "Yeah",
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"timestamp": "08/13/2022 10:14:43",
"content": "wow okok",
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"timestamp": "08/13/2022 10:14:45",
"content": "thanks",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/13/2022 10:16:51",
"content": "np",
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"id": 1008017041061589000,
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"timestamp": "08/13/2022 10:19:50",
"content": "z is in N n H and y is in H",
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"timestamp": "08/13/2022 10:20:04",
"content": "yzy{-1} in N?",
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"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 10:20:20",
"content": "Because N <| G",
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"timestamp": "08/13/2022 10:21:03",
"content": "z is in N, y is in G so yzy^-1 is in N",
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"timestamp": "08/13/2022 10:21:34",
"content": "ah",
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"timestamp": "08/13/2022 10:21:39",
"content": "okok make sense",
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"id": 1008018959309754500,
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"author_name": "KN",
"timestamp": "08/13/2022 10:27:27",
"content": "why does it commute with x or x^{-1} ?",
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"timestamp": "08/13/2022 10:27:36",
"content": "ohh",
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"id": 1008019015127531600,
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"timestamp": "08/13/2022 10:27:41",
"content": "cause N is abelian",
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"timestamp": "08/13/2022 10:33:50",
"content": ".close",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/13/2022 10:33:50",
"content": "Channel closed",
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}
] |
help-9
|
3f5347fc96594ca295222ff2edfa24c7
|
197,804 |
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"id": 959790646133145600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 08:25:22",
"content": "Available help channel!",
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"reference": null
},
{
"id": 959792195869741000,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/02/2022 08:31:31",
"content": "I did part a) but I’m not getting it right",
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"timestamp": "04/02/2022 08:31:32",
"content": "Pinned a message.",
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"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/02/2022 08:32:23",
"content": "So I entered the volume of the cone(excluding the base) and the volume of sphere",
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"author_name": "Jun♾",
"timestamp": "04/02/2022 08:34:09",
"content": ",tex But the answer is $360498mm^3$",
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},
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"timestamp": "04/02/2022 08:34:30",
"content": "**Jun♾**",
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"author_name": "ramonov",
"timestamp": "04/02/2022 08:39:28",
"content": "you calculations don't make any sense",
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},
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"id": 959794234083397600,
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"author_name": "ramonov",
"timestamp": "04/02/2022 08:39:37",
"content": "wdym by\n> So I entered the volume of the cone(excluding the base)",
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"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/02/2022 08:40:09",
"content": "So the volume of the cone is 1/3 x pi r^2 x h",
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},
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"author_name": "ramonov",
"timestamp": "04/02/2022 08:40:12",
"content": "yes",
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},
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"id": 959794415625437200,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/02/2022 08:40:20",
"content": "But I excluded the pi x r^2",
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"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/02/2022 08:40:22",
"content": "why",
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},
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"id": 959794475910176900,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/02/2022 08:40:35",
"content": "Because that’s the base of the cone",
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"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/02/2022 08:40:44",
"content": "but why are you excluding it",
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"id": 959794576552509400,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/02/2022 08:40:59",
"content": "From the image, to me it looks open",
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},
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"author_name": "ramonov",
"timestamp": "04/02/2022 08:41:17",
"content": "doesn't tell me why you're deciding to remove pi*r^2 from the formula",
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},
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"author_name": "ramonov",
"timestamp": "04/02/2022 08:42:18",
"content": "you should be using the formula for the volume of a cone as given, untouched",
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},
{
"id": 959794935824019500,
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"author_name": "ramonov",
"timestamp": "04/02/2022 08:42:24",
"content": "you're confusing this with surface area or something",
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"id": 959794992497430500,
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"author_name": "Jun♾",
"timestamp": "04/02/2022 08:42:38",
"content": "Mm ok",
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},
{
"id": 959795045593149400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/02/2022 08:42:50",
"content": "also\n> and the volume of sphere\nyou don't have a full sphere",
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"id": 959795096964968400,
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"author_name": "Jun♾",
"timestamp": "04/02/2022 08:43:03",
"content": "True",
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},
{
"id": 959795175406841900,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/02/2022 08:43:21",
"content": "But why should we use the volume of any shape untouched?",
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{
"id": 959795220629839900,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/02/2022 08:43:32",
"content": "For example if a part of it is not included and we have to calculate the volume",
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"id": 959795230419345400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/02/2022 08:43:35",
"content": "because you're finding the volume",
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},
{
"id": 959795270328127500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/02/2022 08:43:44",
"content": "wdym part of it isn't included",
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},
{
"id": 959795342713438300,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/02/2022 08:44:01",
"content": "How about in this case?",
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},
{
"id": 959795506278699000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/02/2022 08:44:40",
"content": "what exactly do you mean by part of it isn't included",
"attachments": [],
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},
{
"id": 959795652164980700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/02/2022 08:45:15",
"content": "for a simple case, a closed box and an open box with the same dimensions has the same volume",
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},
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"id": 959795853214744700,
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"author_name": "ramonov",
"timestamp": "04/02/2022 08:46:03",
"content": "also deciding to just \"remove\" pi*r^2 like that\nleaves you with something with units in 1 dimension",
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},
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"id": 959795901533159600,
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"author_name": "ramonov",
"timestamp": "04/02/2022 08:46:15",
"content": "which is not representative of volume at all",
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},
{
"id": 959795953966153900,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/02/2022 08:46:27",
"content": "How, because we are using the formula untouched , that’s why?",
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},
{
"id": 959796092000682100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/02/2022 08:47:00",
"content": "whether the box/container is closed or open doesn't affect the calculations for volume",
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},
{
"id": 959796158451028000,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/02/2022 08:47:16",
"content": "Ok",
"attachments": [],
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},
{
"id": 959796363388915700,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/02/2022 08:48:05",
"content": "I seem to be getting your point",
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},
{
"id": 959796390618353800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/02/2022 08:48:11",
"content": "the solid is composed of a cone and a hemi-sphere, whether they're hollow or not here doesn't really matter",
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},
{
"id": 959796461183312000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/02/2022 08:48:28",
"content": "consider starting with a cone and a hemisphere separately",
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},
{
"id": 959796496667127800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/02/2022 08:48:36",
"content": "find their individual volumes and add them",
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},
{
"id": 959796569379598300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/02/2022 08:48:54",
"content": "don't overthink and/or do unnecessary (wrong) stuff",
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},
{
"id": 959796631417548800,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/02/2022 08:49:09",
"content": "Ok",
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},
{
"id": 959796644973535200,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/02/2022 08:49:12",
"content": "Sure",
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},
{
"id": 959796910124843000,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/02/2022 08:50:15",
"content": "Ok I get it now",
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},
{
"id": 959796955863744500,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/02/2022 08:50:26",
"content": "Thanks",
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},
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"id": 959797016903450600,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "04/02/2022 08:50:40",
"content": ".close",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 08:50:41",
"content": "Channel closed",
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}
] |
help-9
|
fff72b6133b9459892ba8da9c09d4109
|
197,805 |
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{
"id": 1008022396327968900,
"author_id": 805217272087838700,
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"timestamp": "08/13/2022 10:41:07",
"content": "Available help channel!",
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},
{
"id": 1008036145709465600,
"author_id": 557993593877299200,
"author_name": "seandahokage",
"timestamp": "08/13/2022 11:35:45",
"content": "could someone help me out with algebra? it’s for physics",
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},
{
"id": 1008036147492040700,
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"timestamp": "08/13/2022 11:35:45",
"content": "Pinned a message.",
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"id": 1008036560509354100,
"author_id": 557993593877299200,
"author_name": "seandahokage",
"timestamp": "08/13/2022 11:37:24",
"content": "this is the problem i’m having trouble with",
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"timestamp": "08/13/2022 11:44:21",
"content": ",rotate 90",
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},
{
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"author_name": "TeXit",
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"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "08/13/2022 11:44:40",
"content": "what have u tried so far",
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"author_name": "seandahokage",
"timestamp": "08/13/2022 11:45:05",
"content": "so far i’ve tried to get the cube root by its self",
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"timestamp": "08/13/2022 11:45:26",
"content": "so like multiplying the denominator on both sides to get it by it’s self",
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"timestamp": "08/13/2022 11:45:33",
"content": "i’m not sure that makes sense though",
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},
{
"id": 1008038771175997600,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "08/13/2022 11:46:11",
"content": "that’s right for the first step yea",
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"id": 1008038814217937000,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "08/13/2022 11:46:21",
"content": "what next?",
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},
{
"id": 1008039027280203800,
"author_id": 557993593877299200,
"author_name": "seandahokage",
"timestamp": "08/13/2022 11:47:12",
"content": "getting rid of the cube root?",
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},
{
"id": 1008039069852389400,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "08/13/2022 11:47:22",
"content": "yes and how would u do that",
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"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "08/13/2022 11:48:08",
"content": "$$5x = \\sqrt[3]{y-2}$$ so far",
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},
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"author_id": 510789298321096700,
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"timestamp": "08/13/2022 11:48:11",
"content": "**jnmwn**",
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"timestamp": "08/13/2022 11:48:22",
"content": "yes so far that’s what i’ve gotten to",
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},
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"id": 1008039412237598800,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "08/13/2022 11:48:44",
"content": "what operation is the inverse of cube root",
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{
"id": 1008039443892027400,
"author_id": 557993593877299200,
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"timestamp": "08/13/2022 11:48:51",
"content": "division ?",
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{
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"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "08/13/2022 11:48:54",
"content": "no",
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},
{
"id": 1008039492680175700,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "08/13/2022 11:49:03",
"content": "that’s the inverse of multiplication",
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},
{
"id": 1008039580278210700,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "08/13/2022 11:49:24",
"content": "what operation turns $$\\sqrt[3]{x}$$ into $$x$$",
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},
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"timestamp": "08/13/2022 11:49:27",
"content": "**jnmwn**",
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"timestamp": "08/13/2022 11:50:12",
"content": "you have to cube it right",
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},
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"id": 1008039797987749900,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "08/13/2022 11:50:16",
"content": "yes",
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},
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"id": 1008039851146367100,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "08/13/2022 11:50:28",
"content": "so cube both sides of 5x = cbrt(y - 2)",
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},
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"id": 1008040159058608300,
"author_id": 557993593877299200,
"author_name": "seandahokage",
"timestamp": "08/13/2022 11:51:42",
"content": "",
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"id": 1008040164003688400,
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"author_name": "seandahokage",
"timestamp": "08/13/2022 11:51:43",
"content": "is that where i should be",
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},
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"id": 1008040226133905500,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "08/13/2022 11:51:58",
"content": "you didn’t cube both sides",
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},
{
"id": 1008040307335626900,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "08/13/2022 11:52:17",
"content": "you cubed the right but took the cube root of the left ?",
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},
{
"id": 1008040358489358500,
"author_id": 557993593877299200,
"author_name": "seandahokage",
"timestamp": "08/13/2022 11:52:29",
"content": "oh sorry i forgot to write it down lol",
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},
{
"id": 1008040676648308900,
"author_id": 557993593877299200,
"author_name": "seandahokage",
"timestamp": "08/13/2022 11:53:45",
"content": "it wouldn’t cancel out on the other side?",
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},
{
"id": 1008040931980755100,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "08/13/2022 11:54:46",
"content": "no, you wanna just *cube* the left side",
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},
{
"id": 1008040936359600300,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "08/13/2022 11:54:47",
"content": "no root",
"attachments": [],
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},
{
"id": 1008041170670203000,
"author_id": 557993593877299200,
"author_name": "seandahokage",
"timestamp": "08/13/2022 11:55:43",
"content": "so it would be 5x^3 ?",
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},
{
"id": 1008041377873014800,
"author_id": 557993593877299200,
"author_name": "seandahokage",
"timestamp": "08/13/2022 11:56:32",
"content": "something like this",
"attachments": [
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"id": 1008041409951060000,
"author_id": 557993593877299200,
"author_name": "seandahokage",
"timestamp": "08/13/2022 11:56:40",
"content": "and then just add the two to both sides?",
"attachments": [],
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},
{
"id": 1008041432856145900,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "08/13/2022 11:56:46",
"content": "(5x)^3 yes not 5x^3",
"attachments": [],
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"reference": null
},
{
"id": 1008041459330601000,
"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "08/13/2022 11:56:52",
"content": "yes",
"attachments": [],
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"id": 1008041479572308100,
"author_id": 557993593877299200,
"author_name": "seandahokage",
"timestamp": "08/13/2022 11:56:57",
"content": "and then that’s it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008042122085158900,
"author_id": 557993593877299200,
"author_name": "seandahokage",
"timestamp": "08/13/2022 11:59:30",
"content": "thank you! @meow meow meow",
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"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "08/13/2022 12:05:09",
"content": "no problem",
"attachments": [],
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},
{
"id": 1008045897986342900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/13/2022 12:14:30",
"content": "@seandahokage Has your question been resolved?",
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"timestamp": "08/13/2022 12:14:36",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
38aef425f4a242ad97a715cd3b5d2cd1
|
197,806 |
[
{
"id": 1008046177050165200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/13/2022 12:15:37",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1008046535919009900,
"author_id": 999516509892247700,
"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:17:02",
"content": "I am very confused with the definition of R",
"attachments": [
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"timestamp": "08/13/2022 12:17:03",
"content": "Pinned a message.",
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"id": 1008046657000177800,
"author_id": 999516509892247700,
"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:17:31",
"content": "what does (x,y)R(z,t) iff x = z mean",
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},
{
"id": 1008046746724741200,
"author_id": 999516509892247700,
"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:17:53",
"content": "also why is it using z and x?????",
"attachments": [],
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},
{
"id": 1008046787178811500,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:18:02",
"content": "Pairs are in relation iff their first coordinates are",
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},
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"id": 1008046865767465100,
"author_id": 999516509892247700,
"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:18:21",
"content": "what?",
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"id": 1008046970700582900,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:18:46",
"content": "Fixed the typo",
"attachments": [],
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},
{
"id": 1008047069606449200,
"author_id": 999516509892247700,
"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:19:10",
"content": "why does it use x = z",
"attachments": [],
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},
{
"id": 1008047084122931200,
"author_id": 999516509892247700,
"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:19:13",
"content": "that part doesnt make sense",
"attachments": [],
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},
{
"id": 1008047123268386800,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:19:22",
"content": "Because that's how it's defined",
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},
{
"id": 1008047156072026200,
"author_id": 999516509892247700,
"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:19:30",
"content": "but its R(z,t)",
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},
{
"id": 1008047208211419300,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:19:43",
"content": "(x, y)R(z, t)",
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},
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"id": 1008047276842827900,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:19:59",
"content": "what are u confused with ?",
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},
{
"id": 1008047346988351500,
"author_id": 999516509892247700,
"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:20:16",
"content": "I dont get the definition of R. (x,y)R(z,t) iff x = z",
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},
{
"id": 1008047424276791400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:20:34",
"content": "You're dealing with a binary relation on pairs",
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},
{
"id": 1008047486356689000,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:20:49",
"content": "But it is based on the first coordinates",
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},
{
"id": 1008047581605146800,
"author_id": 999516509892247700,
"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:21:12",
"content": "my textbook defines relations like this:\nR = {(x,y) in R x R | y>=x^2} for example",
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},
{
"id": 1008047621526532400,
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"author_name": "themateo713",
"timestamp": "08/13/2022 12:21:21",
"content": "So (3, 5)R(3,7) but not (3, 5)R(4,5)",
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},
{
"id": 1008047715445395500,
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"author_name": "themateo713",
"timestamp": "08/13/2022 12:21:43",
"content": "That's a relation of numbers, not pairs",
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},
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"id": 1008047748437774300,
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"author_name": "nisrine",
"timestamp": "08/13/2022 12:21:51",
"content": "yeah it's another notation for saying xRy iff y >=x^2",
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"author_id": 999516509892247700,
"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:21:54",
"content": "This is a relation of pairs?????????",
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"id": 1008047775159685200,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:21:58",
"content": "Yes",
"attachments": [],
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},
{
"id": 1008047832344830100,
"author_id": 999516509892247700,
"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:22:11",
"content": "let R be a relation on R x R???",
"attachments": [],
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},
{
"id": 1008047836488794200,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:22:12",
"content": "First word I said",
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},
{
"id": 1008047881887957000,
"author_id": 999516509892247700,
"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:22:23",
"content": "i thought that was a typo lol",
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"id": 1008047924346880000,
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"author_name": "themateo713",
"timestamp": "08/13/2022 12:22:33",
"content": "It was because I wrote Paris",
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},
{
"id": 1008048041674154000,
"author_id": 999516509892247700,
"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:23:01",
"content": "What would the set builder notation be thn",
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},
{
"id": 1008048108158066700,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:23:17",
"content": "yeah the relation is between two numbers here",
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"id": 1008048129981038600,
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"author_name": "nisrine",
"timestamp": "08/13/2022 12:23:22",
"content": "the other one is between pairs",
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},
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"id": 1008048159953518600,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:23:29",
"content": "as mateo said",
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},
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"id": 1008048182602760200,
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"author_name": "themateo713",
"timestamp": "08/13/2022 12:23:35",
"content": "{((x ,y), (z, t)) in (R^2)^2 \\ x = z}",
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},
{
"id": 1008048303306461200,
"author_id": 999516509892247700,
"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:24:04",
"content": "OH wait i get it",
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},
{
"id": 1008048389176447000,
"author_id": 999516509892247700,
"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:24:24",
"content": "I thought that R(z,t) meant that R was a function or something",
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},
{
"id": 1008048416481362000,
"author_id": 999516509892247700,
"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:24:31",
"content": "and forgot about a R b notation",
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},
{
"id": 1008048424152727600,
"author_id": 999516509892247700,
"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:24:32",
"content": "oop",
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},
{
"id": 1008048581778878500,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:25:10",
"content": "Yeah don't",
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},
{
"id": 1008048683234902100,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:25:34",
"content": "We never write binary relations as functions",
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},
{
"id": 1008048741762211800,
"author_id": 999516509892247700,
"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:25:48",
"content": "💀",
"attachments": [],
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},
{
"id": 1008048746719871000,
"author_id": 999516509892247700,
"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:25:49",
"content": "ok",
"attachments": [],
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},
{
"id": 1008048750775763100,
"author_id": 999516509892247700,
"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:25:50",
"content": "ty",
"attachments": [],
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},
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"id": 1008048775480221700,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:25:56",
"content": "@themateo713 are you french?",
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"author_id": 999516509892247700,
"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:25:59",
"content": ".close",
"attachments": [],
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},
{
"id": 1008048787996024800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/13/2022 12:25:59",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
d9e1aca673224496be4bf0cd38fc5eeb
|
197,807 |
[
{
"id": 1008048794618843300,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:26:01",
"content": "Yes",
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},
{
"id": 1008048879582838900,
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"author_name": "nisrine",
"timestamp": "08/13/2022 12:26:21",
"content": "hahah okay",
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},
{
"id": 1008048897224097900,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:26:25",
"content": "You ?",
"attachments": [],
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},
{
"id": 1008048907630161900,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:26:28",
"content": "me too",
"attachments": [],
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},
{
"id": 1008048940215701600,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:26:35",
"content": "idk why i felt it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008049022159823000,
"author_id": 484702191156985860,
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"timestamp": "08/13/2022 12:26:55",
"content": "Autocorrect Pairs -> Paris ?",
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},
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"timestamp": "08/13/2022 12:27:06",
"content": "Available help channel!",
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},
{
"id": 1008049105320288400,
"author_id": 689108355632988300,
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"timestamp": "08/13/2022 12:27:15",
"content": "maybe",
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},
{
"id": 1008049108268884100,
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"timestamp": "08/13/2022 12:27:16",
"content": "Pinned a message.",
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"content": "shit",
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},
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"id": 1008049130645508200,
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"timestamp": "08/13/2022 12:27:21",
"content": ".close",
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},
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"content": "Channel closed",
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}
] |
help-9
|
a7feacbcbcf54fa7aa28b6b00ab4049d
|
197,808 |
[
{
"id": 1008049181308485800,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:27:33",
"content": "T'es en quoi ?",
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},
{
"id": 1008049220231631000,
"author_id": 689108355632988300,
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"timestamp": "08/13/2022 12:27:42",
"content": "prépa",
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},
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"id": 1008049246110490600,
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"timestamp": "08/13/2022 12:27:48",
"content": "je rentre en 2eme année là",
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},
{
"id": 1008049257846149200,
"author_id": 484702191156985860,
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"timestamp": "08/13/2022 12:27:51",
"content": "MP ?",
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},
{
"id": 1008049266054418400,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:27:53",
"content": "yes",
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},
{
"id": 1008049269787328500,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:27:54",
"content": "et toi",
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},
{
"id": 1008049290150691000,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:27:59",
"content": "MP* bientôt",
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},
{
"id": 1008049321079484400,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:28:06",
"content": "cool pareil",
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},
{
"id": 1008049335386259600,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:28:10",
"content": "t'es à quelle prepa ?",
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},
{
"id": 1008049351219740800,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:28:13",
"content": "LLG",
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},
{
"id": 1008049359151177900,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:28:15",
"content": "wah",
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},
{
"id": 1008049365501350000,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:28:17",
"content": "mdrrr",
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},
{
"id": 1008049392210686100,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:28:23",
"content": "autre level là",
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},
{
"id": 1008049426255843500,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:28:31",
"content": "Toi ?",
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},
{
"id": 1008049438905860100,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:28:34",
"content": "à fenelon",
"attachments": [],
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},
{
"id": 1008049452948410500,
"author_id": 999516509892247700,
"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:28:38",
"content": "Je baise ta mere le soir",
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"id": 1008049457184641200,
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"author_name": "nisrine",
"timestamp": "08/13/2022 12:28:39",
"content": "c'est vers odéon",
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},
{
"id": 1008049513845493800,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:28:52",
"content": "Ça pourrait être pire que Fénelon quand même",
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},
{
"id": 1008049527212752900,
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"author_name": "nisrine",
"timestamp": "08/13/2022 12:28:55",
"content": "bro 💀",
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"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:29:12",
"content": "🙂 the pinnacle of my french knowledge",
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"id": 1008049708683497500,
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"author_name": "themateo713",
"timestamp": "08/13/2022 12:29:39",
"content": "You'd have said anything else I'd have pinged the mods",
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},
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"author_name": "bruhjomamabigboi",
"timestamp": "08/13/2022 12:30:05",
"content": "yeah soz i felt an urge to say that LMao",
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"author_name": "themateo713",
"timestamp": "08/13/2022 12:31:05",
"content": "Il y a de bonnes têtes là bas quand même non ?",
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"id": 1008050189388497000,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:31:33",
"content": "franchement dans ma classe il ya 2-3 bons",
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},
{
"id": 1008050235202883700,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:31:44",
"content": "y'en a des correct et beaucoup de catastrophiques",
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},
{
"id": 1008050276445466800,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:31:54",
"content": "jsp si c'est à cause du confinement donc parcoursup a fait de la merde",
"attachments": [],
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},
{
"id": 1008050352643383300,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:32:12",
"content": "Tu verrais LLG. C'est probablement pas ce que tu crois",
"attachments": [],
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},
{
"id": 1008050401238581400,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:32:24",
"content": "mais en mp* le niveau sera bien plus élevé surtout qu'il y a ceux qui khubent donc j'attends de voir",
"attachments": [],
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},
{
"id": 1008050464996208600,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:32:39",
"content": "Cuber avec kh j'avais jamais vu",
"attachments": [],
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},
{
"id": 1008050477616865400,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:32:42",
"content": "mais en gros en mpsi sans rien faire et en ratant un ds tu peux facilement taper un top 3 quoi",
"attachments": [],
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},
{
"id": 1008050499515322400,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:32:47",
"content": "ah ouais?",
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"id": 1008050540111986700,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:32:57",
"content": "bahah jsp je l'écris des deux manières",
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},
{
"id": 1008050568998162600,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:33:04",
"content": "Il y a des giga têtes évidemment hein",
"attachments": [],
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},
{
"id": 1008050599012597900,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:33:11",
"content": "Mais pas que, loin de la",
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},
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"id": 1008050636937515000,
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"author_name": "nisrine",
"timestamp": "08/13/2022 12:33:20",
"content": "ouais j'imagine",
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"id": 1008050702330888200,
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"author_name": "nisrine",
"timestamp": "08/13/2022 12:33:36",
"content": "j'ai une très grosse tête en maths dans ma classe mais c le seul",
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},
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"id": 1008050803573018800,
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"author_name": "nisrine",
"timestamp": "08/13/2022 12:34:00",
"content": "le reste sont correct ou il y a vraiment des gens mauvais?",
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"id": 1008051074000748700,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:35:04",
"content": "\"connait techniquement le programme de terminale\" me paraît approprié. \"Sait se servir de ce qu'il connait efficacement\" beaucoup moins",
"attachments": [],
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},
{
"id": 1008051119865475100,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:35:15",
"content": "\"connait bien son cours\" pas non plus",
"attachments": [],
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},
{
"id": 1008051168360013800,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:35:27",
"content": "Just \"connait à peu près\" plutôt",
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},
{
"id": 1008051244910248000,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/13/2022 12:35:45",
"content": "Pour le minorant j'entends",
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},
{
"id": 1008051246059491500,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:35:45",
"content": "ouais je vois",
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"id": 1008051270675869700,
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"author_name": "nisrine",
"timestamp": "08/13/2022 12:35:51",
"content": "je pense que c'est un peu pareil partout mdrr",
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"id": 1008051372203180000,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/13/2022 12:36:15",
"content": "mais je pensais pas qu'à LLG ca serait pareil à ce point",
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},
{
"id": 1008051478486859800,
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"author_name": "themateo713",
"timestamp": "08/13/2022 12:36:41",
"content": "Juger le niveau d'un rural c'est toujours dur",
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},
{
"id": 1008051493657653200,
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"author_name": "nisrine",
"timestamp": "08/13/2022 12:36:44",
"content": "ah donc le reste est plutot correct",
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"author_name": "themateo713",
"timestamp": "08/13/2022 12:37:05",
"content": "18 au bac et studieux toute l'année, tout le temps. Et pourtant voilà",
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},
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"id": 1008062700867305500,
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"author_name": "Mathematics Bot",
"timestamp": "08/13/2022 13:21:16",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1008063052215767200,
"author_id": 618253461682782200,
"author_name": ">SussyRed",
"timestamp": "08/13/2022 13:22:40",
"content": "anyone help?",
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"timestamp": "08/13/2022 13:22:41",
"content": "Pinned a message.",
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{
"id": 1008063429598261200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/13/2022 13:24:10",
"content": "do you know how to find the area of a trapezoid, and do you know how to find the area of a triangle, and do you know how to subtract numbers?",
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"id": 1008063637165981800,
"author_id": 618253461682782200,
"author_name": ">SussyRed",
"timestamp": "08/13/2022 13:25:00",
"content": "uh i jusr remember how to find area of a triangle",
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},
{
"id": 1008064134367162500,
"author_id": 618253461682782200,
"author_name": ">SussyRed",
"timestamp": "08/13/2022 13:26:58",
"content": "nvm i think i found it haha",
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"author_id": 618253461682782200,
"author_name": ">SussyRed",
"timestamp": "08/13/2022 13:27:09",
"content": "thx btw",
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"timestamp": "08/13/2022 13:27:14",
"content": ".close",
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},
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"id": 1008064202746888200,
"author_id": 805217272087838700,
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"timestamp": "08/13/2022 13:27:14",
"content": "Channel closed",
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}
] |
help-9
|
222cb006f98a4591983b8b65dbfeb7a2
|
197,809 |
[
{
"id": 1008065578751238100,
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"author_name": "Mathematics Bot",
"timestamp": "08/13/2022 13:32:42",
"content": "Available help channel!",
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},
{
"id": 1008066508125122700,
"author_id": 617029525007761400,
"author_name": "ren",
"timestamp": "08/13/2022 13:36:24",
"content": "What is the solution for this one? The answer is D but I don't know the solution.",
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"content": "Pinned a message.",
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"timestamp": "08/13/2022 13:38:51",
"content": "wait nvm i got it",
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},
{
"id": 1008067132589871100,
"author_id": 617029525007761400,
"author_name": "ren",
"timestamp": "08/13/2022 13:38:53",
"content": ".close",
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},
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"id": 1008067134921904300,
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"timestamp": "08/13/2022 13:38:53",
"content": "Channel closed",
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}
] |
help-9
|
ab61b0ac97a54c619e4d8a50df5f0997
|
197,810 |
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"timestamp": "08/13/2022 14:10:03",
"content": "For part a, Z2 + Z2 = {(0,0), (1,0), (0,1), (1,1)}",
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"content": "Aut(Z2+Z2) is the set of isomorphisms from Z2+Z2 --> Z2+Z2, so we need to find all of them",
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"content": "hmm",
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"content": "since isomorphisms sends generators to generator",
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"content": "would we only consider those\n?",
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"content": "It is determined by the output of (1, 0) and (0, 1) by morphism rules yes",
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"content": "+ the need to be bijective",
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"timestamp": "08/13/2022 14:14:26",
"content": "In this case, i dont see how (0,0) and another element from the remaining 3 can generate Z2+Z2",
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"content": "0 is always useless as a generator",
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"content": "so i cant send either (1,0) or (0,1) to (0,0)",
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"content": "ok",
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"timestamp": "08/13/2022 14:15:04",
"content": "maybe I can explicitly write out the mapping rather than a general formula",
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"content": "This makes it simple",
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"author_name": "everg",
"timestamp": "08/13/2022 14:15:15",
"content": "(0,0) has to be send in (0,0)",
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"content": "There's only 2 generating elements after all",
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"content": "The identity and permuting them",
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"timestamp": "08/13/2022 14:16:50",
"content": "Is there a theorem that states that Aut(G) ~ S(number of elements needed to generate G)",
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"timestamp": "08/13/2022 14:17:45",
"content": "the automorphism is determined by the image of (1,0) (0,1)",
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"timestamp": "08/13/2022 14:18:21",
"content": "S as in symmetry group? No",
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"timestamp": "08/13/2022 14:18:32",
"content": "make sense",
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"timestamp": "08/13/2022 14:18:43",
"content": "ill write them all out",
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"timestamp": "08/13/2022 14:19:35",
"content": "in the same way, the automorphisms in part b are determined by the image of (1,0) (0,1)",
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"content": "ok",
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"timestamp": "08/13/2022 14:20:36",
"content": "for part a, there is the map that sends (1,0) to itself and (0,1) to itself",
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"timestamp": "08/13/2022 14:20:53",
"content": "there is a map that sends (1,0) to (0,1) and vice versa",
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"timestamp": "08/13/2022 14:22:06",
"content": "{(0,1), (1,1)} and {(0,1), (1,1)} are also generators right. So there are maps to those as well from (1,0) and (0,1)",
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"id": 1008078193711911000,
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"author_name": "everg",
"timestamp": "08/13/2022 14:22:50",
"content": "in total they are 3*2=6 (3 choice for the first element and 2 for the other )?",
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"id": 1008078295088255100,
"author_id": 437300702960812000,
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"timestamp": "08/13/2022 14:23:14",
"content": "yeah, I was thinking 3!",
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"id": 1008078429335335000,
"author_id": 696748240758112300,
"author_name": "everg",
"timestamp": "08/13/2022 14:23:46",
"content": "yes but how look this group ?",
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{
"id": 1008079822217560200,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/13/2022 14:29:18",
"content": "https://math.stackexchange.com/questions/1452260/how-do-we-compute-autz2-x-z2",
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"id": 1008079898948149400,
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"timestamp": "08/13/2022 14:29:37",
"content": "Yeah, this is similar.",
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"timestamp": "08/13/2022 14:29:38",
"content": "I think the maps should be the same actually",
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{
"id": 1008080228402331800,
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"timestamp": "08/13/2022 14:30:55",
"content": ".close",
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"content": "Channel closed",
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] |
help-9
|
374c25f65ab6474baa145bfaaf3c32fb
|
197,811 |
[
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"timestamp": "08/13/2022 14:59:37",
"content": "well, trying to find the particular solution",
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"content": "@bart Has your question been resolved?",
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"timestamp": "08/13/2022 15:36:28",
"content": "and its the came each time?",
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"content": "samee",
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{
"id": 1008096868158410900,
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"timestamp": "08/13/2022 15:37:02",
"content": "cos in the answers i am noticing a theme in the answers",
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"content": "@iCaird",
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"timestamp": "08/13/2022 15:38:05",
"content": "and then to differentiate is it the same kinda theme",
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"timestamp": "08/13/2022 15:38:18",
"content": "written like this",
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"timestamp": "08/13/2022 15:38:51",
"content": "Iirc you said you haven't learnt to differentiate trig functions yet right",
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"timestamp": "08/13/2022 15:39:19",
"content": "yeh",
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"id": 1008097459525931100,
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"timestamp": "08/13/2022 15:39:23",
"content": "are they hard",
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"timestamp": "08/13/2022 15:39:33",
"content": "all i do is sine and cosine",
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"timestamp": "08/13/2022 15:40:04",
"content": "No but you should really learn how to and get comfortable with them before trying to solve second order ODEs",
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"timestamp": "08/13/2022 15:40:15",
"content": "fuck ok",
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"timestamp": "08/13/2022 15:40:33",
"content": "And exponentials",
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"timestamp": "08/13/2022 15:40:38",
"content": "wait hand on",
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},
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"timestamp": "08/13/2022 15:42:02",
"content": "is this all i need?",
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{
"id": 1008098178958110700,
"author_id": 488714812600221700,
"author_name": "bart",
"timestamp": "08/13/2022 15:42:15",
"content": "and then the diffentiation rules useed are the samee",
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},
{
"id": 1008098196075073700,
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"timestamp": "08/13/2022 15:42:19",
"content": "product etc",
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"id": 1008098240513716400,
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"timestamp": "08/13/2022 15:42:30",
"content": "these are just the diffferentials to the functions",
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},
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"timestamp": "08/13/2022 15:42:47",
"content": "Sure but i don't feel like youre comfortable enough with working with them that solving these ODEs will be easy for you",
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},
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"timestamp": "08/13/2022 15:42:55",
"content": "It's like you're learning things backwards",
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"timestamp": "08/13/2022 15:43:25",
"content": "nah u 100% right pal",
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"timestamp": "08/13/2022 15:44:06",
"content": "so learn how to diff trig functions",
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"timestamp": "08/13/2022 15:44:32",
"content": "and apply this to the according question",
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"id": 1008098805423550500,
"author_id": 488714812600221700,
"author_name": "bart",
"timestamp": "08/13/2022 15:44:44",
"content": "cos they are general forms",
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"id": 1008098925724586000,
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"author_name": "iCaird",
"timestamp": "08/13/2022 15:45:13",
"content": "Sure yeah",
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},
{
"id": 1008098941952331800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "08/13/2022 15:45:17",
"content": "Just get used to them",
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},
{
"id": 1008098958121373800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "08/13/2022 15:45:21",
"content": "Bc they're used a lot",
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},
{
"id": 1008098986399383600,
"author_id": 488714812600221700,
"author_name": "bart",
"timestamp": "08/13/2022 15:45:27",
"content": "fuck man",
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},
{
"id": 1008099166163046400,
"author_id": 488714812600221700,
"author_name": "bart",
"timestamp": "08/13/2022 15:46:10",
"content": "im assuming they come up a lot in first order and second order linear difference equations?",
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},
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"timestamp": "08/13/2022 16:16:10",
"content": "@bart Has your question been resolved?",
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"timestamp": "08/13/2022 16:46:11",
"content": "Channel closed",
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}
] |
help-9
|
e752f1b6c6534f909a5a358891819ff7
|
197,812 |
[
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"id": 1008114520138461200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/13/2022 16:47:11",
"content": "Available help channel!",
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},
{
"id": 1008120703444340900,
"author_id": 383387101221355500,
"author_name": "luisschwab",
"timestamp": "08/13/2022 17:11:45",
"content": "If t>0, determine r such that y=t^r is a solution to t²y'' -4t' +4y = 0",
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},
{
"id": 1008120705654739000,
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"content": "Pinned a message.",
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"id": 1008121157037342700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/13/2022 17:13:33",
"content": "plug it in?",
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},
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"id": 1008124479198732400,
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"timestamp": "08/13/2022 17:26:45",
"content": "@luisschwab Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
b1ddc4d60f7a4105b427ee262d190198
|
197,813 |
[
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"id": 1008124973929472100,
"author_id": 383387101221355500,
"author_name": "luisschwab",
"timestamp": "08/13/2022 17:28:43",
"content": "yields 2t^(r+2) ln(t) - 4t^(r+1) ln(t) + 4t^r = 0",
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"id": 1008125111871742000,
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"timestamp": "08/13/2022 17:29:16",
"content": "✅",
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},
{
"id": 1008127112114352400,
"author_id": 383387101221355500,
"author_name": "luisschwab",
"timestamp": "08/13/2022 17:37:13",
"content": ".close",
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"id": 1008127113947254900,
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"content": "Channel closed",
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] |
help-9
|
f051c36709d44a5db4f0a4b9a6e9ee98
|
197,814 |
[
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"timestamp": "08/13/2022 17:39:17",
"content": "Available help channel!",
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},
{
"id": 1008135424427962400,
"author_id": 482756098592604160,
"author_name": "I smell like parchment",
"timestamp": "08/13/2022 18:10:15",
"content": "I just don't understand the technique behind solving these types of quadratics.",
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"id": 1008136047894462500,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/13/2022 18:12:44",
"content": "Complete the square",
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"timestamp": "08/13/2022 18:13:03",
"content": "but how",
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"id": 1008136150751395800,
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"timestamp": "08/13/2022 18:13:08",
"content": "https://www.youtube.com/watch?v=qPmVHrpXRAI&ab_channel=BrianMcLogan",
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{
"id": 1008136243378393200,
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"timestamp": "08/13/2022 18:13:30",
"content": "Alright thx",
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},
{
"id": 1008136254291972200,
"author_id": 482756098592604160,
"author_name": "I smell like parchment",
"timestamp": "08/13/2022 18:13:33",
"content": ".close",
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{
"id": 1008136256514961500,
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"timestamp": "08/13/2022 18:13:33",
"content": "Channel closed",
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] |
help-9
|
33e7a90e86c8441d8b750f42f42e79e8
|
197,815 |
[
{
"id": 959797271262801900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 08:51:41",
"content": "Available help channel!",
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},
{
"id": 959798581735342100,
"author_id": 517634005718532100,
"author_name": "Suyan",
"timestamp": "04/02/2022 08:56:54",
"content": "how do I turn X,Y,Z coordinate into a magnitude?",
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"id": 959798583647932500,
"author_id": 805217272087838700,
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"content": "Pinned a message.",
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"id": 959798951811354600,
"author_id": 373884980977336300,
"author_name": "Remavas",
"timestamp": "04/02/2022 08:58:22",
"content": "sorry what",
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},
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"id": 959799770430443600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/02/2022 09:01:37",
"content": "Use a bunch of Pythagorean theorems",
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"id": 959799924394959000,
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"author_name": "Suyan",
"timestamp": "04/02/2022 09:02:14",
"content": "is there a name for the calculation?",
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"author_name": "IntelligentCake",
"timestamp": "04/02/2022 09:02:20",
"content": "you use the pythagorean theorem",
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"id": 959800032918396900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/02/2022 09:02:40",
"content": "Dear god I hope",
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"id": 959800060302991400,
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"author_name": "Umbraleviathan",
"timestamp": "04/02/2022 09:02:46",
"content": "I hope this makes sense",
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"id": 959800085540126700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/02/2022 09:02:52",
"content": "There's a reason why I don't do art",
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},
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"id": 959800089344376800,
"author_id": 517634005718532100,
"author_name": "Suyan",
"timestamp": "04/02/2022 09:02:53",
"content": "damn",
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"id": 959800096692785200,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/02/2022 09:02:55",
"content": "$\\vec{a} = \\mqty(x \\\\ y \\\\ z) \\implies \\abs{\\vec{a}} = \\sqrt{x^2 + y^2 + z^2}$",
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"id": 959800106771710000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/02/2022 09:02:57",
"content": "**nvx**",
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"id": 959800117538463900,
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"author_name": "Suyan",
"timestamp": "04/02/2022 09:03:00",
"content": "I think I can understand it",
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"id": 959800174765551600,
"author_id": 517634005718532100,
"author_name": "Suyan",
"timestamp": "04/02/2022 09:03:13",
"content": "ok now I understand",
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"timestamp": "04/02/2022 09:03:27",
"content": "I'm done thx",
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"id": 959800237130657800,
"author_id": 517634005718532100,
"author_name": "Suyan",
"timestamp": "04/02/2022 09:03:28",
"content": ".close",
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"content": "Channel closed",
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}
] |
help-9
|
8054fa880edd41d7a58f046058d97a70
|
197,816 |
[
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"content": "Available help channel!",
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"id": 1008139194700398700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/13/2022 18:25:14",
"content": "What do I need to know if I want to understand derivatives and integrals?",
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"author_name": "HeadShotCem",
"timestamp": "08/13/2022 18:28:08",
"content": "https://youtu.be/kuOxDh3egN0",
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"author_name": "HeadShotCem",
"timestamp": "08/13/2022 18:28:37",
"content": "you need to have a good understanding of algebra, trigonometry, and geometry",
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"id": 1008142941623177300,
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"timestamp": "08/13/2022 18:40:07",
"content": "Thanks!",
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"content": "@Deleted User Has your question been resolved?",
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help-9
|
879f836d117b460fab896a6cac9d100c
|
197,817 |
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"timestamp": "08/13/2022 19:22:19",
"content": "For part a, I wrote out the mappings",
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"id": 1008153631129870500,
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"timestamp": "08/13/2022 19:22:36",
"content": "but im not sure how to actually write the function out",
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"id": 1008153707034185900,
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"timestamp": "08/13/2022 19:22:54",
"content": "like phi((1,0),(0,1)) = ((1,0),(0,1))",
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"id": 1008153714940444800,
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"timestamp": "08/13/2022 19:22:56",
"content": "?",
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"timestamp": "08/13/2022 19:23:11",
"content": "Also, for part b, im not sure how to do it",
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"timestamp": "08/13/2022 19:30:47",
"content": "yeah, as you note, we only care about where the generators go. If I was writing it, I would write $\\phi:(1,0)\\mapsto(1,0), (0,1)\\mapsto(0,1)$",
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"timestamp": "08/13/2022 19:31:04",
"content": "**Toby**",
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"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/13/2022 19:32:44",
"content": "note that we can actually write $\\phi$ as a matrix from $\\mathbb Z_2^2$ to itself",
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"timestamp": "08/13/2022 19:33:15",
"content": "oh yeah, thats cool",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/13/2022 19:33:25",
"content": "**Toby**",
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"timestamp": "08/13/2022 19:33:34",
"content": "ie, $\\phi$ is a invertible 2x2 matrix with entries in $\\mathbb Z_2$",
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"timestamp": "08/13/2022 19:33:53",
"content": "**Toby**",
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"timestamp": "08/13/2022 19:34:25",
"content": "so like your example of phi is the identity $\\begin{pmatrix}1&0\\\\0&1\\end{pmatrix}$. Another matrix would be $\\begin{pmatrix}1&1\\\\0&1\\end{pmatrix}$",
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"timestamp": "08/13/2022 19:34:28",
"content": "**Toby**",
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"author_name": "Toby",
"timestamp": "08/13/2022 19:34:46",
"content": "using a similar counting argument as you did, there are 6 of these",
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"id": 1008156791932207100,
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"author_name": "Toby",
"timestamp": "08/13/2022 19:35:09",
"content": "I cant think about how to get the structure of these rn",
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"id": 1008156933611585500,
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"timestamp": "08/13/2022 19:35:43",
"content": "but you can do a similar thing for part b, and looking at possible automorphisms as matrices might make it easier to count",
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"content": "ok",
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"timestamp": "08/13/2022 19:39:27",
"content": ".close",
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"timestamp": "08/13/2022 19:39:28",
"content": "Channel closed",
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] |
help-9
|
7f1b4c46ad1847d7bef9ae633bdc2b08
|
197,818 |
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"id": 1008158129319583900,
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"author_name": "Mathematics Bot",
"timestamp": "08/13/2022 19:40:28",
"content": "Available help channel!",
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},
{
"id": 1008159713336234000,
"author_id": 332303692294520800,
"author_name": "Akash",
"timestamp": "08/13/2022 19:46:46",
"content": "In Stewart’s proof for this case of Stokes’ Theorem, how do you justify the circled step?",
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"content": "Pinned a message.",
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"author_name": "Akash",
"timestamp": "08/13/2022 19:47:26",
"content": "Below is the first page of the proof",
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"author_name": "Akash",
"timestamp": "08/13/2022 19:48:26",
"content": "I don’t see why the line integral over C equals the line integral over C_1",
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"id": 1008160503677325400,
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"author_name": "Akash",
"timestamp": "08/13/2022 19:49:54",
"content": "Wouldn’t P, Q, and R equal different values on C_1 because F is a function of x, y, and z?",
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"id": 1008161909687730200,
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"author_name": "riemann",
"timestamp": "08/13/2022 19:55:30",
"content": "C1 is just the parametrization of a to b",
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"timestamp": "08/13/2022 19:56:14",
"content": "Maybe you're really asking about the first line from C to integral from a to b",
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"timestamp": "08/13/2022 20:04:01",
"content": "I thought he was working with C for the first few lines",
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"id": 1008164100108464300,
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"author_name": "Akash",
"timestamp": "08/13/2022 20:04:12",
"content": "But then he switched to C_1",
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"timestamp": "08/13/2022 20:04:16",
"content": "Which was what confused me",
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"timestamp": "08/13/2022 20:19:17",
"content": "@Akash Has your question been resolved?",
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"timestamp": "08/13/2022 20:34:17",
"content": "Channel closed",
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}
] |
help-9
|
58feb0c208f44c48b99ff3d5fb65504b
|
197,819 |
[
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"id": 1008171924649693200,
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"author_name": "Mathematics Bot",
"timestamp": "08/13/2022 20:35:17",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1008180272094789800,
"author_id": 971889930206847100,
"author_name": "currymuncher",
"timestamp": "08/13/2022 21:08:27",
"content": "are the graphs of tan(x+pi) and tan(x) the same. I am only asking because I think my graphing calculator is broken",
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"content": "Pinned a message.",
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"timestamp": "08/13/2022 21:08:39",
"content": "they are the same",
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"id": 1008180409844105200,
"author_id": 971889930206847100,
"author_name": "currymuncher",
"timestamp": "08/13/2022 21:09:00",
"content": "so then I can't compare the periods right",
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{
"id": 1008180503918161900,
"author_id": 971889930206847100,
"author_name": "currymuncher",
"timestamp": "08/13/2022 21:09:23",
"content": "cause they are the same",
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"author_name": "currymuncher",
"timestamp": "08/13/2022 21:10:04",
"content": "nvm",
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"timestamp": "08/13/2022 21:10:13",
"content": ".close",
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"timestamp": "08/13/2022 21:10:14",
"content": "Channel closed",
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}
] |
help-9
|
819b723e52244a4bb690a90b5bfda5c0
|
197,820 |
[
{
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"author_name": "Mathematics Bot",
"timestamp": "08/13/2022 21:18:29",
"content": "Available help channel!",
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{
"id": 1008185228218597400,
"author_id": 226809110019047420,
"author_name": "ggonick",
"timestamp": "08/13/2022 21:28:09",
"content": "What is a general way to find a parameterization of a surface (specifically to setup for a surface integral?) I struggle a lot when it gets more complicated (shapes inside other shapes, parameterizing a triangle giving it's vertices, and dealing with other coordinates (i.e spherical))",
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"content": "Pinned a message.",
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"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "08/13/2022 21:29:13",
"content": "There's no one size fits all here",
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"id": 1008185591093006500,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "08/13/2022 21:29:36",
"content": "There's some strategies for 2D regions, some for 3D regions",
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},
{
"id": 1008185682713379000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "08/13/2022 21:29:57",
"content": "You're talking a bit about both",
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"id": 1008185730562019300,
"author_id": 226809110019047420,
"author_name": "ggonick",
"timestamp": "08/13/2022 21:30:09",
"content": "is the best way to try and characterize a surface by the given equation",
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"id": 1008185758508654600,
"author_id": 226809110019047420,
"author_name": "ggonick",
"timestamp": "08/13/2022 21:30:16",
"content": "and then use a specific strategy for that shape?",
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{
"id": 1008185838171062300,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "08/13/2022 21:30:35",
"content": "An equation for a region?",
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"id": 1008185927815938000,
"author_id": 356908116429897700,
"author_name": "Kaynex",
"timestamp": "08/13/2022 21:30:56",
"content": "Sometimes regions are bounded between a few equations, that what you mean?",
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"id": 1008186044316930000,
"author_id": 226809110019047420,
"author_name": "ggonick",
"timestamp": "08/13/2022 21:31:24",
"content": "I guess this would be a 2D region example right?",
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"id": 1008186164408242300,
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"author_name": "Kaynex",
"timestamp": "08/13/2022 21:31:52",
"content": "It's a line integral, so it could be done as several 1D integrals",
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"id": 1008186508907397100,
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"author_name": "Kaynex",
"timestamp": "08/13/2022 21:33:14",
"content": "So the first line, the one from (0,0,1) to (0,1,0) can be parametrized into:\nC1 = (0,0,1) + t(0,1,-1)",
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"id": 1008186605460267000,
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"timestamp": "08/13/2022 21:33:37",
"content": "0 ≤ t ≤ 1",
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"author_name": "Kaynex",
"timestamp": "08/13/2022 21:33:53",
"content": "That is (first point) + t(difference)",
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"author_name": "Kaynex",
"timestamp": "08/13/2022 21:34:18",
"content": "Check for t = 0 and t = 1 to get a sense for why it works",
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"author_name": "Kaynex",
"timestamp": "08/13/2022 21:34:40",
"content": "Is that what they did? Or are they using a different strategy?",
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"id": 1008187415229370500,
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"author_name": "ggonick",
"timestamp": "08/13/2022 21:36:51",
"content": "ohh yes, I see",
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"id": 1008187504752595000,
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"author_name": "ggonick",
"timestamp": "08/13/2022 21:37:12",
"content": "because then as t varies it will travel along the line from 0,0,1 to 0,1,0",
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"timestamp": "08/13/2022 21:52:12",
"content": "@ggonick Has your question been resolved?",
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"timestamp": "08/13/2022 21:58:28",
"content": "sorry I had to go eat some dinner, but I had one more example of a parameterization which was a little more involved",
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"author_name": "Kaynex",
"timestamp": "08/13/2022 22:03:27",
"content": "No need, the region is a rectangle",
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"author_name": "Kaynex",
"timestamp": "08/13/2022 22:03:40",
"content": "Like, the bounds of the integral are given",
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"author_name": "Kaynex",
"timestamp": "08/13/2022 22:04:06",
"content": "Remember, the region isn't the surface, the region is the shadow it drops",
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"timestamp": "08/13/2022 22:04:12",
"content": "@ggonick",
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"author_name": "ggonick",
"timestamp": "08/13/2022 22:04:49",
"content": "so I could just evaluate this as the double integral of 0 -> 2 and 0 -> 3 of yz dXdY?",
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"timestamp": "08/13/2022 22:05:53",
"content": "You'd need to convert dS to dXdY",
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"timestamp": "08/13/2022 22:06:01",
"content": "b/c the only way I remember evaluating surface integrals is dealing with the rx cross ry dotted with f(r)",
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"timestamp": "08/13/2022 22:06:06",
"content": "Which, this is a function so this is easy",
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"timestamp": "08/13/2022 22:06:51",
"content": "how would I convert the dS to dXdY? would I use z = 3 + y",
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"timestamp": "08/13/2022 22:06:58",
"content": "This covers how to do it when the surface is a function\nhttps://tutorial.math.lamar.edu/classes/calciii/surfaceintegrals.aspx",
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"author_name": "ggonick",
"timestamp": "08/13/2022 22:07:03",
"content": "sorry if I'm being kinda slow with this, I'm just learning this stuff haha",
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"timestamp": "08/13/2022 22:10:46",
"content": "so in my case, g(x,y) would be g(y) = 3 + y right? and f(y,z) = yz",
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"id": 1008196359238717400,
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"timestamp": "08/13/2022 22:12:23",
"content": "Ye",
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"id": 1008196600599957500,
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"author_name": "Kaynex",
"timestamp": "08/13/2022 22:13:20",
"content": "And that converts your surface integral into a 2D region integral",
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"timestamp": "08/13/2022 22:14:33",
"content": "gotcha so I would convert using double integral of f(y, 3+y) times sqrt of (g'x)^ 2 + (g'y)^2 + 1 with dxdy",
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"content": "it feels weird to diffferentiate that g(y) function with x, if x isn't even an input for it",
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"content": "@ggonick Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
92e80427b748416fa02f735091fdc098
|
197,821 |
[
{
"id": 1008206503704010900,
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"timestamp": "08/13/2022 22:52:42",
"content": "Available help channel!",
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{
"id": 1008210202639749200,
"author_id": 431850568873541600,
"author_name": "Ray",
"timestamp": "08/13/2022 23:07:23",
"content": "\\begin{pmatrix}-5&-2&3&-3&0\\\\ \\:0&2&-4&-5&0\\\\ \\:0&0&-2&1&0\\end{pmatrix}",
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"author_name": "Ray",
"timestamp": "08/13/2022 23:08:06",
"content": "ignore above, how do you solve for 4 variables, when only have 3 eqns",
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"content": "@Ray Has your question been resolved?",
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] |
help-9
|
5d43dd6fb0c84e71b0813275ae250091
|
197,822 |
[
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"timestamp": "08/13/2022 23:39:07",
"content": "Available help channel!",
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"id": 1008218477707927600,
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"author_id": 635245771318493200,
"author_name": "meow meow meow",
"timestamp": "08/13/2022 23:51:54",
"content": "L",
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"timestamp": "08/13/2022 23:52:51",
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help-9
|
20d38021a34a4c5b92f3cfda945fd4c7
|
197,823 |
[
{
"id": 1008232473848709100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 00:35:53",
"content": "Available help channel!",
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},
{
"id": 1008234413701746700,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/14/2022 00:43:36",
"content": "G = U(16), H = {1,15}, K = {1,9}",
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"author_name": "KN",
"timestamp": "08/14/2022 00:43:45",
"content": "is G/H isomorphic to G/K?",
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"id": 1008234582371479600,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/14/2022 00:44:16",
"content": "So G = {1,3,5,7,9,11,13,15}",
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{
"id": 1008234809757290500,
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"author_name": "KN",
"timestamp": "08/14/2022 00:45:10",
"content": "G/H = {H, 3H, 5H, 7H} and G/K = {K, 3K, 5K, 7K}",
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{
"id": 1008234856532168800,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/14/2022 00:45:21",
"content": "the other cosets are repetitions",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/14/2022 00:45:31",
"content": "Of course not",
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{
"id": 1008234911695650800,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/14/2022 00:45:35",
"content": "G is of order 8",
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},
{
"id": 1008234939222872200,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/14/2022 00:45:41",
"content": "But order of both H and K are 2",
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{
"id": 1008235054385868800,
"author_id": 826318983413366800,
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"timestamp": "08/14/2022 00:46:09",
"content": "15^2=1=9^2 mod 16",
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"id": 1008235162368221300,
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"timestamp": "08/14/2022 00:46:34",
"content": "hmm",
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"id": 1008235216646721500,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/14/2022 00:46:47",
"content": "ok",
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"id": 1008235373811466200,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/14/2022 00:47:25",
"content": "ah",
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"id": 1008235376399372300,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/14/2022 00:47:25",
"content": "i see",
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"id": 1008235381084393500,
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"author_name": "KN",
"timestamp": "08/14/2022 00:47:26",
"content": "thanks",
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"id": 1008235393637941400,
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"author_name": "KN",
"timestamp": "08/14/2022 00:47:29",
"content": ".close",
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help-9
|
80b455e22afd4865b77ca14e9adee6f2
|
197,824 |
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"author_name": "Cogwheels of the mind",
"timestamp": "08/14/2022 00:48:40",
"content": "U(2^r) when r>=3 is direct sum of <-1> and <5> if you want to know. Probably also equals direct sum <-1> and <3>",
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"id": 1008236949468885100,
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"timestamp": "08/14/2022 00:53:40",
"content": "oh also a follow up question",
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"timestamp": "08/14/2022 00:53:58",
"content": "What would be the order of say, 3H?",
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"author_name": "Cogwheels of the mind",
"timestamp": "08/14/2022 00:59:42",
"content": "What do you mean 3H",
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"author_name": "Cogwheels of the mind",
"timestamp": "08/14/2022 00:59:49",
"content": "Product of <3> and H?",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/14/2022 01:00:05",
"content": "It’s just G",
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"id": 1008238570139553800,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/14/2022 01:00:07",
"content": "Itself",
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"id": 1008238584739922000,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/14/2022 01:00:10",
"content": "So G/H = {H, 3H, 5H, 7H}",
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{
"id": 1008238642977849300,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/14/2022 01:00:24",
"content": "I wanted to check the order of each element",
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"id": 1008238976529862800,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/14/2022 01:01:44",
"content": "Order of 3H and 5H equal 4, order of 7H equal 2",
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"id": 1008239309071069200,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/14/2022 01:03:03",
"content": "Ah right",
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"id": 1008239383041810400,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "08/14/2022 01:03:21",
"content": "since the operation in factor groups are (aH)(bH) = (ab)H",
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"timestamp": "08/14/2022 01:03:40",
"content": "G/H is Z/4Z",
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"id": 1008239517611860100,
"author_id": 826318983413366800,
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"timestamp": "08/14/2022 01:03:53",
"content": "3H^2=7H, 3H^3=5H",
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"content": "ok",
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"timestamp": "08/14/2022 01:06:37",
"content": ".close",
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help-9
|
accc43eeaae64a948211a59a3433bb36
|
197,825 |
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"author_id": 356153957456019460,
"author_name": "Armaangupta",
"timestamp": "08/14/2022 01:19:45",
"content": "how do you find the direction of a vector if it is supposed to be perpendicular to the angle bisector between three points?",
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"content": "I am unsure of how to solve for the direction of the vector (shown in red)",
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"content": "@Armaangupta Has your question been resolved?",
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help-9
|
1ef0b37159164fedbb464a670baa8814
|
197,826 |
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"timestamp": "04/02/2022 09:21:05",
"content": "Any intuition on what the answer may be ?",
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"author_name": "ghfhdhd",
"timestamp": "04/02/2022 09:21:31",
"content": "I think 1 and last?",
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"timestamp": "04/02/2022 09:21:45",
"content": "Why do you think that ?",
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"author_name": "ghfhdhd",
"timestamp": "04/02/2022 09:23:12",
"content": "Any element can be reched using the two elements I think?",
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"content": "Would that be true in R^3 ?",
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"timestamp": "04/02/2022 09:24:20",
"content": "Should be",
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"id": 959805558486077400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "04/02/2022 09:24:37",
"content": "So 2 numbers is enough to place a point in 3D ?",
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"timestamp": "04/02/2022 09:25:09",
"content": "Oh no",
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"content": "3 will be req",
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"author_name": "ghfhdhd",
"timestamp": "04/02/2022 09:25:33",
"content": "But using two angles",
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"timestamp": "04/02/2022 09:25:35",
"content": "So it doesn't always span V",
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"content": "You'd also need a distance. a 3D vector-space can't have every point described by less than 3 coordinates, and any more than 3 is unnecessary",
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"timestamp": "04/02/2022 09:27:23",
"content": "Thanks",
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"content": "That's most likely the way you defined dimension. A vector space is of dimension n iff it has a basis of n elements.",
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"timestamp": "04/02/2022 09:29:22",
"content": "Though the spheric coordinates don't really use vectors for coordinates, but it stays true that you need 3 real numbers' worth of information",
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"timestamp": "04/02/2022 09:31:36",
"content": "So do you think it spans a 2D vector space ?",
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"content": "Yes",
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"timestamp": "04/02/2022 09:32:13",
"content": "What's the span of (0,1) ?",
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"author_name": "ghfhdhd",
"timestamp": "04/02/2022 09:32:52",
"content": "A line",
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"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "04/02/2022 09:33:03",
"content": "Is that a 2D vector space ?",
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"author_name": "ghfhdhd",
"timestamp": "04/02/2022 09:33:17",
"content": "No",
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"timestamp": "04/02/2022 09:33:29",
"content": "Assuming we're in R^3 for this example",
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"content": "Yet that's the span of (0,0,0) and (1,0,0)",
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"content": "So 2 distinct vectors don't always span a full 2D VS",
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"content": "More specifically, this only happens if the vectors are linearly independant (which for 2 vectors means neither is multiple of the other)",
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"content": "@ghfhdhd Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
9fcba809245c47b698ac2a67ffce9311
|
197,827 |
[
{
"id": 1008251770809614300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 01:52:34",
"content": "Available help channel!",
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},
{
"id": 1008253165617037300,
"author_id": 763023158293954600,
"author_name": "UW-BHARAT",
"timestamp": "08/14/2022 01:58:07",
"content": "3^x/1+3^x = 2/5\nFind\n81^x/1+81^x",
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},
{
"id": 1008253167361851400,
"author_id": 805217272087838700,
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"timestamp": "08/14/2022 01:58:07",
"content": "Pinned a message.",
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"author_id": 281105694013259780,
"author_name": "citrusmunch",
"timestamp": "08/14/2022 01:59:47",
"content": "is that entire `1 + 3^x` in the denominator?",
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},
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"id": 1008253632065589200,
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"timestamp": "08/14/2022 01:59:58",
"content": "Ys",
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},
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"id": 1008253732905038000,
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"author_name": "UW-BHARAT",
"timestamp": "08/14/2022 02:00:22",
"content": "",
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"author_id": 763023158293954600,
"author_name": "UW-BHARAT",
"timestamp": "08/14/2022 02:00:26",
"content": "I have done this😷",
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},
{
"id": 1008253789221949400,
"author_id": 763023158293954600,
"author_name": "UW-BHARAT",
"timestamp": "08/14/2022 02:00:35",
"content": "But the answer is 16/97",
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},
{
"id": 1008253869349949400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/14/2022 02:00:54",
"content": "so what you really mean is 3^x/(1+3^x)",
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},
{
"id": 1008253945476554900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/14/2022 02:01:13",
"content": "and presumably also 81^x/(1+81^x)",
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},
{
"id": 1008253987750953000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/14/2022 02:01:23",
"content": "what you have is wrong on multiple accounts",
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},
{
"id": 1008254110384009200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/14/2022 02:01:52",
"content": "you cannot conclude from 3^x/(1+3^x) = 2/5 that 3^x = 2 and 1+3^x = 5 (indeed these two contradict each other)",
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},
{
"id": 1008254159058895000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/14/2022 02:02:03",
"content": "and from 1 + 3^x = 5 you cannot conclude that 1 + (3^x)^4 = 5^4",
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},
{
"id": 1008254304240533500,
"author_id": 763023158293954600,
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"timestamp": "08/14/2022 02:02:38",
"content": "Ohk",
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},
{
"id": 1008254447740276700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/14/2022 02:03:12",
"content": "let z = 3^x, then you have z/(1+z) = 2/5 => 5z = 2 + 2z => z = 2/3. you can now evaluate z^4/(1+z^4)",
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"id": 1008255216405192700,
"author_id": 763023158293954600,
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"timestamp": "08/14/2022 02:06:16",
"content": "Ok",
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},
{
"id": 1008255225615888400,
"author_id": 763023158293954600,
"author_name": "UW-BHARAT",
"timestamp": "08/14/2022 02:06:18",
"content": "Got it",
"attachments": [],
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},
{
"id": 1008259014762700900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 02:21:21",
"content": "@UW-BHARAT Has your question been resolved?",
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"timestamp": "08/14/2022 02:36:21",
"content": "Channel closed",
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}
] |
help-9
|
1403355957ea4b4695fd5db3458e015b
|
197,828 |
[
{
"id": 1008263042917736400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 02:37:22",
"content": "Available help channel!",
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},
{
"id": 1008263386737414100,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "08/14/2022 02:38:44",
"content": "i dont understand what they mean by theta != that sample",
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"timestamp": "08/14/2022 02:38:44",
"content": "Pinned a message.",
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"id": 1008263430379143300,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "08/14/2022 02:38:54",
"content": "how did they find the sample",
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},
{
"id": 1008264100381462500,
"author_id": 281105694013259780,
"author_name": "citrusmunch",
"timestamp": "08/14/2022 02:41:34",
"content": "in the original the denominator is zero when `theta = π/2`",
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},
{
"id": 1008264373862682600,
"author_id": 281105694013259780,
"author_name": "citrusmunch",
"timestamp": "08/14/2022 02:42:39",
"content": "`3π/2` also counts",
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},
{
"id": 1008264422604689400,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "08/14/2022 02:42:50",
"content": "ok they are just trying to match the functions",
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},
{
"id": 1008264432838770700,
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"author_name": "citrusmunch",
"timestamp": "08/14/2022 02:42:53",
"content": "and either of these plus any multiple of `pi` will also count",
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},
{
"id": 1008264461964017700,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "08/14/2022 02:43:00",
"content": "ok",
"attachments": [],
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},
{
"id": 1008264572714618900,
"author_id": 281105694013259780,
"author_name": "citrusmunch",
"timestamp": "08/14/2022 02:43:26",
"content": "the simplification they're using depends on the values being non-zero",
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},
{
"id": 1008264654679711700,
"author_id": 281105694013259780,
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"timestamp": "08/14/2022 02:43:46",
"content": "`0 / 0` is undefined and they did some algebra where certain theta values could ruin that assumption",
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},
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"id": 1008264668910977200,
"author_id": 281105694013259780,
"author_name": "citrusmunch",
"timestamp": "08/14/2022 02:43:49",
"content": "so they rule it out",
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},
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"id": 1008264704277360600,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "08/14/2022 02:43:58",
"content": "ok",
"attachments": [],
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},
{
"id": 1008264752004354000,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "08/14/2022 02:44:09",
"content": "ty",
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},
{
"id": 1008264755175227400,
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"author_name": "Atomic",
"timestamp": "08/14/2022 02:44:10",
"content": ".close",
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},
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"id": 1008264756932649000,
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"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 02:44:10",
"content": "Channel closed",
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}
] |
help-9
|
166de5fa37fa44179ccfdf2378899a38
|
197,829 |
[
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"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 03:38:31",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1008284018778845300,
"author_id": 625889478774620200,
"author_name": "./",
"timestamp": "08/14/2022 04:00:43",
"content": "how to find the volume of this cylindrical portion to two decimal places",
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"id": 1008284022042001400,
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"timestamp": "08/14/2022 04:00:43",
"content": "Pinned a message.",
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{
"id": 1008284359075307600,
"author_id": 216912122083409920,
"author_name": "Learath2",
"timestamp": "08/14/2022 04:02:04",
"content": "Do you know how to find the volume of the entire cylinder?",
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},
{
"id": 1008284480722718700,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "08/14/2022 04:02:33",
"content": "Area of circle * Height, correct?",
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},
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"id": 1008284566953410700,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "08/14/2022 04:02:53",
"content": "@./",
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{
"id": 1008284934093406200,
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"timestamp": "08/14/2022 04:04:21",
"content": "uhh yes",
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},
{
"id": 1008285278412222500,
"author_id": 625889478774620200,
"author_name": "./",
"timestamp": "08/14/2022 04:05:43",
"content": "i think so is it 62.83cm?",
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"id": 1008285673788297200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/14/2022 04:07:17",
"content": "watch your units cm^3",
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},
{
"id": 1008285791761481700,
"author_id": 216912122083409920,
"author_name": "Learath2",
"timestamp": "08/14/2022 04:07:45",
"content": "Mh, not only the units are the issue here",
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},
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"id": 1008285915044651000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/14/2022 04:08:15",
"content": "that would be for a full cylinder",
"attachments": [],
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},
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"id": 1008286025145122800,
"author_id": 216912122083409920,
"author_name": "Learath2",
"timestamp": "08/14/2022 04:08:41",
"content": "Ohoh I see, didn’t see the reply",
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},
{
"id": 1008286085266276400,
"author_id": 216912122083409920,
"author_name": "Learath2",
"timestamp": "08/14/2022 04:08:55",
"content": "cm^3, no?",
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"id": 1008286110159487100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/14/2022 04:09:01",
"content": "fk",
"attachments": [],
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},
{
"id": 1008286126366273500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/14/2022 04:09:05",
"content": "typo",
"attachments": [],
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},
{
"id": 1008286177398374400,
"author_id": 216912122083409920,
"author_name": "Learath2",
"timestamp": "08/14/2022 04:09:17",
"content": "Anyway, we have the full cylinder. This one is 3/4ths of a cylinder",
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},
{
"id": 1008286255148171300,
"author_id": 216912122083409920,
"author_name": "Learath2",
"timestamp": "08/14/2022 04:09:36",
"content": "So it’s volume is 3/4ths the whole cylinder",
"attachments": [],
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},
{
"id": 1008286333179019300,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "08/14/2022 04:09:54",
"content": ":this: ** **",
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},
{
"id": 1008286589581017100,
"author_id": 625889478774620200,
"author_name": "./",
"timestamp": "08/14/2022 04:10:56",
"content": "so 3/4x𝝿x2^2x5",
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},
{
"id": 1008286645616922600,
"author_id": 625889478774620200,
"author_name": "./",
"timestamp": "08/14/2022 04:11:09",
"content": "=15𝝿",
"attachments": [],
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},
{
"id": 1008286669381845000,
"author_id": 625889478774620200,
"author_name": "./",
"timestamp": "08/14/2022 04:11:15",
"content": "=47.12cm^3",
"attachments": [],
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},
{
"id": 1008286725795237900,
"author_id": 625889478774620200,
"author_name": "./",
"timestamp": "08/14/2022 04:11:28",
"content": "is that right?",
"attachments": [],
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},
{
"id": 1008287493076041700,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "08/14/2022 04:14:31",
"content": "Yep",
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"id": 1008288189108207700,
"author_id": 625889478774620200,
"author_name": "./",
"timestamp": "08/14/2022 04:17:17",
"content": "great thanks",
"attachments": [],
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},
{
"id": 1008288270184104000,
"author_id": 625889478774620200,
"author_name": "./",
"timestamp": "08/14/2022 04:17:36",
"content": ".close",
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},
{
"id": 1008288271891173400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 04:17:37",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
668c9955226d4b0a842499968ed63033
|
197,830 |
[
{
"id": 1008318363979763700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 06:17:11",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1008319715682291700,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "08/14/2022 06:22:33",
"content": "hello y'all i forgot a very simple formula for calculating time traveled with a constant speed",
"attachments": [],
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"reference": null
},
{
"id": 1008319717473255400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 06:22:34",
"content": "Pinned a message.",
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{
"id": 1008319851330285700,
"author_id": 969891367062995000,
"author_name": "OceanBro",
"timestamp": "08/14/2022 06:23:06",
"content": "t = d/s?",
"attachments": [],
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"reference": null
},
{
"id": 1008320087658344400,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "08/14/2022 06:24:02",
"content": "A ship is travelling at 12 miles per hour. It will be 8 miles of a lighthouse twice during its travel. Once when it travels 3.325586215 miles and again when it travels 10.8127254 miles.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008320241153089500,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "08/14/2022 06:24:39",
"content": "How do I calculate for the time?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008320759363551200,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "08/14/2022 06:26:42",
"content": "oops nevermind guys i remembered now",
"attachments": [],
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"reference": null
},
{
"id": 1008320772948885500,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "08/14/2022 06:26:45",
"content": ".close",
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},
{
"id": 1008320774551121900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 06:26:46",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
632c6f3257944e38b72266c22d55ac87
|
197,831 |
[
{
"id": 1008334311977652400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 07:20:33",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1008343954678353900,
"author_id": 301961698473017340,
"author_name": "ashllxyy",
"timestamp": "08/14/2022 07:58:52",
"content": "",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 07:58:53",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1008343977394720900,
"author_id": 301961698473017340,
"author_name": "ashllxyy",
"timestamp": "08/14/2022 07:58:58",
"content": "So",
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},
{
"id": 1008343997279916000,
"author_id": 301961698473017340,
"author_name": "ashllxyy",
"timestamp": "08/14/2022 07:59:03",
"content": "lol",
"attachments": [],
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"reference": null
},
{
"id": 1008344055568138400,
"author_id": 301961698473017340,
"author_name": "ashllxyy",
"timestamp": "08/14/2022 07:59:16",
"content": "I just needed help with the first statement",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008344113453744100,
"author_id": 301961698473017340,
"author_name": "ashllxyy",
"timestamp": "08/14/2022 07:59:30",
"content": "that the function can only exist if cos x > 0 and sin x > 0",
"attachments": [],
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},
{
"id": 1008344178050216100,
"author_id": 301961698473017340,
"author_name": "ashllxyy",
"timestamp": "08/14/2022 07:59:46",
"content": "how do we get to that step",
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},
{
"id": 1008344288595288000,
"author_id": 301961698473017340,
"author_name": "ashllxyy",
"timestamp": "08/14/2022 08:00:12",
"content": "I see a mod function a denominator function and a root function",
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},
{
"id": 1008344344337580000,
"author_id": 301961698473017340,
"author_name": "ashllxyy",
"timestamp": "08/14/2022 08:00:25",
"content": "okay nvm im blind as hell",
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},
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"id": 1008344355678994400,
"author_id": 301961698473017340,
"author_name": "ashllxyy",
"timestamp": "08/14/2022 08:00:28",
"content": ".close",
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},
{
"id": 1008344357256052700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 08:00:28",
"content": "Channel closed",
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}
] |
help-9
|
9eac081c855843438f9847193fbc5cea
|
197,832 |
[
{
"id": 1008344931137499300,
"author_id": 833992497076240400,
"author_name": "divyansh",
"timestamp": "08/14/2022 08:02:45",
"content": "lol",
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"timestamp": "08/14/2022 08:08:55",
"content": "Available help channel!",
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},
{
"id": 1008349232148779100,
"author_id": 343750954862116860,
"author_name": "AltazarRequiem",
"timestamp": "08/14/2022 08:19:51",
"content": "Let M = The set of all nonnegative even numbers less than 30 but not greater than 7. Describe the set using rule method.\nI know how to do the Roster method which is M = {0,2,4,6} but it's getting complicated on this method, please help",
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"id": 1008349233922973800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 08:19:51",
"content": "Pinned a message.",
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{
"id": 1008352604687974500,
"author_id": 343750954862116860,
"author_name": "AltazarRequiem",
"timestamp": "08/14/2022 08:33:15",
"content": "I need clarification on this M = {x : x is a nonnegative even number < 30 x < 7 }",
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},
{
"id": 1008352777061286000,
"author_id": 343750954862116860,
"author_name": "AltazarRequiem",
"timestamp": "08/14/2022 08:33:56",
"content": "@Helpers",
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"reference": null
},
{
"id": 1008353394156642300,
"author_id": 266701848969216030,
"author_name": "opfromthestart",
"timestamp": "08/14/2022 08:36:23",
"content": "That is almost right, however that is the wrong symbol for \"not greater than\", since it isnt greater it is less than or equal to.",
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},
{
"id": 1008353693378289700,
"author_id": 343750954862116860,
"author_name": "AltazarRequiem",
"timestamp": "08/14/2022 08:37:34",
"content": "So what's the symbol for \"not greater than\"?",
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},
{
"id": 1008353955224506400,
"author_id": 266701848969216030,
"author_name": "opfromthestart",
"timestamp": "08/14/2022 08:38:37",
"content": "$\\le$",
"attachments": [],
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"reference": null
},
{
"id": 1008353969262833800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/14/2022 08:38:40",
"content": "**opfromthestart**",
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{
"id": 1008355104417652700,
"author_id": 343750954862116860,
"author_name": "AltazarRequiem",
"timestamp": "08/14/2022 08:43:11",
"content": "can </ be used as not greater than?",
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},
{
"id": 1008356200770969600,
"author_id": 778947575830413300,
"author_name": "ᴡʜɪᴘᴘᴇᴅᴄʀᴇᴀᴍ",
"timestamp": "08/14/2022 08:47:32",
"content": "$\\le$",
"attachments": [],
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},
{
"id": 1008356213240639600,
"author_id": 778947575830413300,
"author_name": "ᴡʜɪᴘᴘᴇᴅᴄʀᴇᴀᴍ",
"timestamp": "08/14/2022 08:47:35",
"content": "sad",
"attachments": [],
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},
{
"id": 1008356220815544400,
"author_id": 778947575830413300,
"author_name": "ᴡʜɪᴘᴘᴇᴅᴄʀᴇᴀᴍ",
"timestamp": "08/14/2022 08:47:37",
"content": "oh wait",
"attachments": [],
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},
{
"id": 1008356224456216700,
"author_id": 778947575830413300,
"author_name": "ᴡʜɪᴘᴘᴇᴅᴄʀᴇᴀᴍ",
"timestamp": "08/14/2022 08:47:38",
"content": "it works",
"attachments": [],
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},
{
"id": 1008356231146123300,
"author_id": 778947575830413300,
"author_name": "ᴡʜɪᴘᴘᴇᴅᴄʀᴇᴀᴍ",
"timestamp": "08/14/2022 08:47:39",
"content": "Lmao",
"attachments": [],
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"reference": null
},
{
"id": 1008358827298652200,
"author_id": 343750954862116860,
"author_name": "AltazarRequiem",
"timestamp": "08/14/2022 08:57:58",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1008358829118996600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 08:57:59",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
a5703504d6204406922635624d99f2b0
|
197,833 |
[
{
"id": 1008359082576584700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 08:58:59",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008362811262501000,
"author_id": 774316224724598800,
"author_name": "mo.sy",
"timestamp": "08/14/2022 09:13:48",
"content": "can someone help me with this integral",
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"timestamp": "08/14/2022 09:13:49",
"content": "Pinned a message.",
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"id": 1008362989449117700,
"author_id": 774316224724598800,
"author_name": "mo.sy",
"timestamp": "08/14/2022 09:14:31",
"content": "should be like that??",
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},
{
"id": 1008363052602765300,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "08/14/2022 09:14:46",
"content": "you have four different intervals at play here",
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},
{
"id": 1008363134257471500,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "08/14/2022 09:15:05",
"content": "[-2,-1]\n[-1,0]\n[0,1]\n[1,2]",
"attachments": [],
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"reference": null
},
{
"id": 1008363215312396300,
"author_id": 774316224724598800,
"author_name": "mo.sy",
"timestamp": "08/14/2022 09:15:25",
"content": "oh okey",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008363306609815600,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "08/14/2022 09:15:46",
"content": "$0 \\leq |x| < 1$ means $-1 < x < 1$",
"attachments": [],
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"reference": null
},
{
"id": 1008363318408392800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/14/2022 09:15:49",
"content": "**ΣAC**",
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},
{
"id": 1008363407243747300,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "08/14/2022 09:16:10",
"content": "see if you can figure out what $1 \\leq |x| \\leq 2$ means",
"attachments": [],
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},
{
"id": 1008363419352703000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/14/2022 09:16:13",
"content": "**ΣAC**",
"attachments": [
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"timestamp": "08/14/2022 09:16:25",
"content": "okey thank you",
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"content": "do u have an idea about this? @iCaird",
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"content": "its the same idea",
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"content": "okey thanks a lot",
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help-9
|
f7b7517f7a424c4dbb8cefc055adb038
|
197,834 |
[
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"timestamp": "08/14/2022 09:33:33",
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"author_id": 143920388718460930,
"author_name": "Liliana",
"timestamp": "08/14/2022 09:43:31",
"content": "Hi! I'm kinda confused by homogenous differential equations... I'm unsure what it means by that and I'm trying to work out if this equation is or isn't. I've found information that tells me it's if it is set equal to 0 or to dy/dx but I found other info saying if f(x,y) is the same as f(tx, ty)... any help untangling this would be greatly appreciated.",
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"content": "@Liliana Has your question been resolved?",
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"timestamp": "08/14/2022 09:58:58",
"content": "seperation of variables",
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"content": "left side needs to be only y and right x so transform to that",
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"timestamp": "08/14/2022 09:59:22",
"content": "then take integral",
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"content": "You clearly did not read their question",
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"author_name": "Liliana",
"timestamp": "08/14/2022 10:02:58",
"content": "Yeah, I'm struggling to understand what homogenous means.. :blobsmilesweat:",
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"timestamp": "08/14/2022 10:03:44",
"content": "**ΣAC**",
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"timestamp": "08/14/2022 10:03:53",
"content": "Where f is a homogeneous function",
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"author_name": "iCaird",
"timestamp": "08/14/2022 10:04:41",
"content": "Which means f(tx,ty)=t^n*f(x,y) for some n",
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"author_name": "Liliana",
"timestamp": "08/14/2022 10:05:47",
"content": "Yeah, I got that far.. and n is the degree? I'm assuming it's not homogenous, but I'm honestly unsure",
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"author_name": "iCaird",
"timestamp": "08/14/2022 10:07:31",
"content": "n is the degree yeah",
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"timestamp": "08/14/2022 10:07:43",
"content": "Well rather than guessing you can just check",
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"timestamp": "08/14/2022 10:07:59",
"content": "Work with f(tx,ty) for your specific example",
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"author_name": "Liliana",
"timestamp": "08/14/2022 10:08:34",
"content": "Yeah, so I substitute tx, ty and it really doesn't seem like it'll factor to all t^same power... which I'm assuming is what that all means?",
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"timestamp": "08/14/2022 10:09:15",
"content": "Yeah if you're not able to pull out t^same power and be left with f(x,y) then the function is not homogeneous",
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"author_name": "Liliana",
"timestamp": "08/14/2022 10:10:19",
"content": "like, this would be the correct way of substituting it, no?",
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"author_name": "Liliana",
"timestamp": "08/14/2022 10:11:17",
"content": "so i'd be left with t^2 in my f(x,y) so it's non-homogenous?",
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"author_name": "iCaird",
"timestamp": "08/14/2022 10:12:12",
"content": "Yeah exactly",
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"author_name": "iCaird",
"timestamp": "08/14/2022 10:12:16",
"content": "We can only pull out a t",
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"author_name": "iCaird",
"timestamp": "08/14/2022 10:12:23",
"content": "And we're not left with f(x,y)",
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"author_name": "Liliana",
"timestamp": "08/14/2022 10:12:26",
"content": "Okay, that makes a lot of sense",
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"author_name": "Liliana",
"timestamp": "08/14/2022 10:12:41",
"content": "Thankyou so much",
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"content": "Channel closed",
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] |
help-9
|
de7f8659f5564e399dbf7b7a90e0f2bd
|
197,835 |
[
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"content": "Struggling to interpret the bottom question… understand the method but don’t know what it means by ‘maximum’",
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"content": "@Tom Cruise Has your question been resolved?",
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"content": "@Helpers",
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"content": "@Tom Cruise Has your question been resolved?",
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"author_id": 216912122083409920,
"author_name": "Learath2",
"timestamp": "08/14/2022 11:16:05",
"content": "Mh, bizarre wording. Is it maybe asking you to define a function d which is the distance from any point on the graph to the origin?",
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"timestamp": "08/14/2022 11:17:46",
"content": "Then the bottom part might be asking the average distance from the origin, which would be the integral average of the function d? But this is a function, unless the domain is limited you'd need a double integral",
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"content": "@Tom Cruise Has your question been resolved?",
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"content": "Top hat question",
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"content": "Channel closed",
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] |
help-9
|
324baa64436143e5af9fc2f3944c33c2
|
197,836 |
[
{
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"content": "Available help channel!",
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"author_id": 933153827648045200,
"author_name": "AuHasard",
"timestamp": "08/14/2022 13:19:16",
"content": "\\text{The function f(x) is defined as}\n$$f(x) = \\begin{cases} \\frac{3x^2 - 11x + 6}{x-3} & \\text{if } x \\neq 3 \\\\ c & \\text{if } x = 3 \\end{cases}$$\n\n\\text{Determine the value of the constant c so that the function f(x) becomes continuous.}",
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"timestamp": "08/14/2022 13:19:20",
"content": "**AuHasard**",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/14/2022 13:20:45",
"content": "3x^2-11x+6=(x-3)(3x-2)",
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"timestamp": "08/14/2022 13:20:53",
"content": "So factor out x-3",
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},
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"id": 1008425036681597000,
"author_id": 826318983413366800,
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"timestamp": "08/14/2022 13:21:04",
"content": "Limit of 3x-2 when x approaches 3",
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},
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"id": 1008425051558785200,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/14/2022 13:21:07",
"content": "Is 4",
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},
{
"id": 1008425080172314800,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/14/2022 13:21:14",
"content": "Rest is clear",
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},
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"id": 1008425271411626100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/14/2022 13:22:00",
"content": "4?",
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"id": 1008425363845693600,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/14/2022 13:22:22",
"content": "Yeah",
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},
{
"id": 1008426097878253700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/14/2022 13:25:17",
"content": "how u getting 4",
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},
{
"id": 1008427448381218800,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "08/14/2022 13:30:39",
"content": ",calc 3*3 - 2",
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"id": 1008427450373505000,
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"author_name": "TeXit",
"timestamp": "08/14/2022 13:30:39",
"content": "Result:\n```\n7\n```",
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"timestamp": "08/14/2022 13:31:33",
"content": "Whoops",
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"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 13:36:33",
"content": "@AuHasard Has your question been resolved?",
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"timestamp": "08/14/2022 13:51:34",
"content": "Channel closed",
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}
] |
help-9
|
366cedc6c82746ce80b58b0a6bbf51d7
|
197,837 |
[
{
"id": 959815542976417800,
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"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 10:04:17",
"content": "Available help channel!",
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},
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"id": 959816916598394900,
"author_id": 414484943398502400,
"author_name": "Musi",
"timestamp": "04/02/2022 10:09:45",
"content": "How do I factor `x² – 6x + 5 = 0`",
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"id": 959816918548766800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 10:09:45",
"content": "Pinned a message.",
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"id": 959817566086373400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/02/2022 10:12:20",
"content": "Use whatever factoring method you want",
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"author_id": 414484943398502400,
"author_name": "Musi",
"timestamp": "04/02/2022 10:13:17",
"content": "I did `Sum: -6 Product 5` but there's no integer that goes into that",
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"id": 959818307060527100,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "04/02/2022 10:15:16",
"content": "or just solve the zero values",
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"id": 959818757159673900,
"author_id": 414484943398502400,
"author_name": "Musi",
"timestamp": "04/02/2022 10:17:04",
"content": "How do I do that",
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"id": 959818842111103000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/02/2022 10:17:24",
"content": "There are",
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"id": 959818887829020700,
"author_id": 414484943398502400,
"author_name": "Musi",
"timestamp": "04/02/2022 10:17:35",
"content": "Wait what",
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},
{
"id": 959818908334948500,
"author_id": 414484943398502400,
"author_name": "Musi",
"timestamp": "04/02/2022 10:17:40",
"content": "Which one",
"attachments": [],
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},
{
"id": 959818950697439400,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/02/2022 10:17:50",
"content": "-1 and -5",
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},
{
"id": 959818988811087900,
"author_id": 414484943398502400,
"author_name": "Musi",
"timestamp": "04/02/2022 10:17:59",
"content": "Oooh",
"attachments": [],
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},
{
"id": 959819007458943000,
"author_id": 414484943398502400,
"author_name": "Musi",
"timestamp": "04/02/2022 10:18:03",
"content": "That makes sense",
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},
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"id": 959819031517466600,
"author_id": 414484943398502400,
"author_name": "Musi",
"timestamp": "04/02/2022 10:18:09",
"content": "I'm an idiot :)",
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},
{
"id": 959819042615623700,
"author_id": 414484943398502400,
"author_name": "Musi",
"timestamp": "04/02/2022 10:18:12",
"content": "Thank you",
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},
{
"id": 959819056645554200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/02/2022 10:18:15",
"content": "Don't tell people the answer",
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/02/2022 10:18:20",
"content": "Let them figure that out",
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},
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"id": 959819145418002600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/02/2022 10:18:36",
"content": "You should have asked what are the factors of 6",
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"id": 959819163206033500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "04/02/2022 10:18:41",
"content": "Ah",
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"author_id": 414484943398502400,
"author_name": "Musi",
"timestamp": "04/02/2022 10:19:07",
"content": "I thought for sure there wasn't anything",
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"id": 959819277018484700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/02/2022 10:19:08",
"content": "Then asked to identify what are the possible combinations",
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"id": 959819325898915800,
"author_id": 414484943398502400,
"author_name": "Musi",
"timestamp": "04/02/2022 10:19:19",
"content": "Anyways, thank you",
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},
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"id": 959819363689566200,
"author_id": 414484943398502400,
"author_name": "Musi",
"timestamp": "04/02/2022 10:19:28",
"content": ".close",
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"id": 959819365463773200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 10:19:29",
"content": "Channel closed",
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] |
help-9
|
77d9710a9d7f400796045cfecf78d670
|
197,838 |
[
{
"id": 1008432964973121700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 13:52:34",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1008447028445061200,
"author_id": 837014715636777000,
"author_name": "Keth",
"timestamp": "08/14/2022 14:48:27",
"content": "in a quadratic equation, 4x^2+8x-10 ,",
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"id": 1008447030412193800,
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"content": "Pinned a message.",
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"author_id": 837014715636777000,
"author_name": "Keth",
"timestamp": "08/14/2022 14:48:44",
"content": "can K not = ah^2+bh+c",
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},
{
"id": 1008447131478134800,
"author_id": 837014715636777000,
"author_name": "Keth",
"timestamp": "08/14/2022 14:48:52",
"content": "where H = -b/2a",
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},
{
"id": 1008447143058620400,
"author_id": 837014715636777000,
"author_name": "Keth",
"timestamp": "08/14/2022 14:48:54",
"content": "?",
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{
"id": 1008447331051511900,
"author_id": 837014715636777000,
"author_name": "Keth",
"timestamp": "08/14/2022 14:49:39",
"content": "why is -D/4a different than ah^2+bh+c",
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},
{
"id": 1008447397589946500,
"author_id": 837014715636777000,
"author_name": "Keth",
"timestamp": "08/14/2022 14:49:55",
"content": "when D = b^2-4ac",
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},
{
"id": 1008447417676476400,
"author_id": 837014715636777000,
"author_name": "Keth",
"timestamp": "08/14/2022 14:50:00",
"content": "if they both are used to find K",
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},
{
"id": 1008447437704278100,
"author_id": 837014715636777000,
"author_name": "Keth",
"timestamp": "08/14/2022 14:50:05",
"content": "how can they give 2 different values",
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},
{
"id": 1008448781441847300,
"author_id": 217686845394386940,
"author_name": "jswatj",
"timestamp": "08/14/2022 14:55:25",
"content": "????",
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},
{
"id": 1008449274612293600,
"author_id": 837014715636777000,
"author_name": "Keth",
"timestamp": "08/14/2022 14:57:23",
"content": "?",
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{
"id": 1008449944341991400,
"author_id": 351011564544983040,
"author_name": "Potet",
"timestamp": "08/14/2022 15:00:02",
"content": "If you mean D is/are the solution(s):\nD > 0, 2 solutions\nD = 0, 1 solution\nD < 2, no solution (no real solution).",
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{
"id": 1008450099841605800,
"author_id": 351011564544983040,
"author_name": "Potet",
"timestamp": "08/14/2022 15:00:39",
"content": "This is used to find the extreme point",
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},
{
"id": 1008450234428432500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/14/2022 15:01:11",
"content": "vertex",
"attachments": [],
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},
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"id": 1008453051021021300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 15:12:23",
"content": "@Keth Has your question been resolved?",
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"id": 1008453268474708100,
"author_id": 837014715636777000,
"author_name": "Keth",
"timestamp": "08/14/2022 15:13:15",
"content": "I mean to find k we can use both these methods right",
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"id": 1008453309213982800,
"author_id": 837014715636777000,
"author_name": "Keth",
"timestamp": "08/14/2022 15:13:25",
"content": "so how can one give a difference answer compared to the oother",
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},
{
"id": 1008454001622261900,
"author_id": 351011564544983040,
"author_name": "Potet",
"timestamp": "08/14/2022 15:16:10",
"content": "It depends what the question asks.",
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},
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"id": 1008454701429297300,
"author_id": 351011564544983040,
"author_name": "Potet",
"timestamp": "08/14/2022 15:18:57",
"content": "For instance:\n—\nYou’re going to find when the pebble hits the surface of the water.\n\nThis question requires the D you said. \n—\nYou’re going to find when the ball is at its highest peak when throwing it up into the air.\n\nThis question requires the H you said.",
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{
"id": 1008454918375481300,
"author_id": 351011564544983040,
"author_name": "Potet",
"timestamp": "08/14/2022 15:19:48",
"content": "If you’re trying to get the whole function, you use D.",
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{
"id": 1008455065411010600,
"author_id": 351011564544983040,
"author_name": "Potet",
"timestamp": "08/14/2022 15:20:23",
"content": "If you’re trying to find the extreme point, you use H.",
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"id": 1008460860269801500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 15:43:25",
"content": "@Keth Has your question been resolved?",
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"id": 1008467562520125400,
"author_id": 1008375021279916000,
"author_name": "herbytus",
"timestamp": "08/14/2022 16:10:03",
"content": "Slt math",
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},
{
"id": 1008467975382245400,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "08/14/2022 16:11:41",
"content": "what?",
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{
"id": 1008468410524508300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 16:13:25",
"content": "Channel closed",
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}
] |
help-9
|
a22c1e8dfc274c7b8eef3901f2d6b8b8
|
197,839 |
[
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 16:14:25",
"content": "Available help channel!",
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{
"id": 1008469479409328300,
"author_id": 904820255845679200,
"author_name": "≫ Isحak",
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"content": "Pinned a message.",
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"author_id": 904820255845679200,
"author_name": "≫ Isحak",
"timestamp": "08/14/2022 16:17:40",
"content": "How to solve this?",
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"id": 1008469565572927600,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "08/14/2022 16:18:00",
"content": "Factor",
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{
"id": 1008469753691656300,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "08/14/2022 16:18:45",
"content": "e^(2x)*(cosx-2sinx)=0 right?",
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{
"id": 1008469918976585900,
"author_id": 904820255845679200,
"author_name": "≫ Isحak",
"timestamp": "08/14/2022 16:19:25",
"content": "What happened to the denominator?",
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"id": 1008469970088374400,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "08/14/2022 16:19:37",
"content": "Thrown to the trash",
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},
{
"id": 1008469985217228900,
"author_id": 904820255845679200,
"author_name": "≫ Isحak",
"timestamp": "08/14/2022 16:19:40",
"content": "How comes?",
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"id": 1008470007015030800,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "08/14/2022 16:19:46",
"content": "Multiply both sides by e^4x",
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{
"id": 1008470111998460000,
"author_id": 904820255845679200,
"author_name": "≫ Isحak",
"timestamp": "08/14/2022 16:20:11",
"content": "But can you do that when there is x in e^4x ?",
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},
{
"id": 1008470159247290500,
"author_id": 904820255845679200,
"author_name": "≫ Isحak",
"timestamp": "08/14/2022 16:20:22",
"content": "Wouldn't that get rid of a solution?",
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{
"id": 1008470421324169200,
"author_id": 904820255845679200,
"author_name": "≫ Isحak",
"timestamp": "08/14/2022 16:21:24",
"content": "Sorry if the question is stupid xD",
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},
{
"id": 1008470541386141700,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "08/14/2022 16:21:53",
"content": "1. It's only a problem if you're multiplying by 0, but e^4x is never 0\n\n2. A fraction is only 0 if the numerator is 0, so even if e^4x is 0 somewhere, you could use this reasoning to just set the numerator to 0",
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"id": 1008470670587482200,
"author_id": 485164773647056900,
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"timestamp": "08/14/2022 16:22:24",
"content": "Yes",
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"id": 1008470708810158200,
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"timestamp": "08/14/2022 16:22:33",
"content": "When is this zero",
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"id": 1008470737973162000,
"author_id": 904820255845679200,
"author_name": "≫ Isحak",
"timestamp": "08/14/2022 16:22:40",
"content": "OH",
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"id": 1008470755941564500,
"author_id": 904820255845679200,
"author_name": "≫ Isحak",
"timestamp": "08/14/2022 16:22:44",
"content": "that makes a lot of sense",
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"id": 1008470924640657500,
"author_id": 904820255845679200,
"author_name": "≫ Isحak",
"timestamp": "08/14/2022 16:23:24",
"content": "thanks",
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},
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"id": 1008470937890459800,
"author_id": 904820255845679200,
"author_name": "≫ Isحak",
"timestamp": "08/14/2022 16:23:28",
"content": ".close",
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"timestamp": "08/14/2022 16:23:28",
"content": "Channel closed",
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}
] |
help-9
|
c6adfcf85ac0410899d582e14971f068
|
197,840 |
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"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 17:00:29",
"content": "@Deleted User Has your question been resolved?",
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"timestamp": "08/14/2022 17:04:03",
"content": "and uhhhhh what nonw",
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"id": 1008481202056986800,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "08/14/2022 17:04:15",
"content": "What have you tried",
"attachments": [],
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},
{
"id": 1008481395221467300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/14/2022 17:05:01",
"content": "i tried long divion",
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},
{
"id": 1008481450502402200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/14/2022 17:05:14",
"content": "but i kept missing it up",
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},
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "08/14/2022 17:05:47",
"content": "Show your work",
"attachments": [],
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},
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/14/2022 17:08:40",
"content": "",
"attachments": [
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"timestamp": "08/14/2022 17:08:55",
"content": "Oh boy thats hard to read",
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},
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "08/14/2022 17:10:54",
"content": "You subtracted wrong",
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "08/14/2022 17:11:13",
"content": "You're supposed to subtract the whole of (3x³ + 6x²)",
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},
{
"id": 1008483229138960400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/14/2022 17:12:18",
"content": "im confused how did i ssubtracted them wong?",
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},
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "08/14/2022 17:14:53",
"content": "You did -3x³ + 6x²",
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},
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"author_name": "Gamer Dio",
"timestamp": "08/14/2022 17:15:05",
"content": "But you should've done -(3x³ + 6x²)",
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"author_name": "Deleted User",
"timestamp": "08/14/2022 17:16:18",
"content": "i see..... but how does that effect the equtation",
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},
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"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "08/14/2022 17:17:04",
"content": "You wouldn't end up with 1x² after subtracting",
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},
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"timestamp": "08/14/2022 17:17:58",
"content": "i ended up with 11x-14",
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},
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"timestamp": "08/14/2022 17:18:08",
"content": "oh",
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},
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/14/2022 17:18:51",
"content": "gotcha",
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},
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"author_name": "Deleted User",
"timestamp": "08/14/2022 17:18:58",
"content": ".close",
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},
{
"id": 1008484907103834200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 17:18:58",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
b8bdff98af914642a24df7dc20238326
|
197,841 |
[
{
"id": 1008490304556503200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 17:40:25",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008503570607386800,
"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:33:08",
"content": "Need help for the entirety of question 7. Not sure why they set 3x+25=7x-19 and then when they plug x back into angle CBD (3x+25) = 58 degress they then add a 90 to get 148. The 90 they add is because of the right angle im assuming but im not sure why they would do that. A general explanation of what they did in the question would help",
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"timestamp": "08/14/2022 18:33:08",
"content": "Pinned a message.",
"attachments": [],
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"id": 1008504368988954600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/14/2022 18:36:18",
"content": "Angle bisector means it splits in the angle in half equally",
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"id": 1008504427453366300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/14/2022 18:36:32",
"content": "So BD splits CBE equally in half",
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},
{
"id": 1008504684555804700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/14/2022 18:37:33",
"content": "Then ABD = ABC + CBD",
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},
{
"id": 1008504983592915100,
"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:38:45",
"content": "would that mean that cbd and dbe are congruent",
"attachments": [],
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},
{
"id": 1008505019118657500,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/14/2022 18:38:53",
"content": "Yes",
"attachments": [],
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},
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"id": 1008505112974602400,
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"author_name": "324242aqq",
"timestamp": "08/14/2022 18:39:16",
"content": "i get this yea",
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"author_name": "dldh06",
"timestamp": "08/14/2022 18:39:17",
"content": "That's why it did 3x + 25 = 7x - 19",
"attachments": [],
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},
{
"id": 1008505174869950600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/14/2022 18:39:30",
"content": "Because CBD = DBE",
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},
{
"id": 1008505262308593800,
"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:39:51",
"content": "oh that makes sense",
"attachments": [],
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},
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"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:40:37",
"content": "what does that get them then tho?",
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"id": 1008505474494243000,
"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:40:42",
"content": "i see why they did it",
"attachments": [],
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},
{
"id": 1008505541888319600,
"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:40:58",
"content": "cbd and dbe are congruent and abd= abc+cbd",
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},
{
"id": 1008505572842291300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/14/2022 18:41:05",
"content": "It helps you find x",
"attachments": [],
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},
{
"id": 1008505616253329400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/14/2022 18:41:16",
"content": "So then you can find the value of CBD",
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},
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"id": 1008505794796474400,
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"author_name": "324242aqq",
"timestamp": "08/14/2022 18:41:58",
"content": "would it make sense if i plugged x into DBE instead of CBD? DBE being 7x-19",
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},
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"id": 1008505810046963800,
"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:42:02",
"content": "would it matter which one i plugged in x",
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{
"id": 1008506221822742700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/14/2022 18:43:40",
"content": "I mean because CBD = DBE, so it'll be the same value, but it would be useless to plug it into DBE, since you're looking for ABD, which is ABC + CBD, and not ABC + DBE",
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},
{
"id": 1008506326982332500,
"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:44:05",
"content": "i see",
"attachments": [],
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},
{
"id": 1008506337635877000,
"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:44:08",
"content": "nah i understand yea",
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},
{
"id": 1008506454644375600,
"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:44:35",
"content": "abd includes CBD and not DBE so it in order to solve u find the measure of CBD and uh",
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},
{
"id": 1008506535627980900,
"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:44:55",
"content": "by adding the two u get abd?",
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},
{
"id": 1008506548252840100,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/14/2022 18:44:58",
"content": "Yes",
"attachments": [],
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},
{
"id": 1008506584143507500,
"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:45:06",
"content": "we know abc is 90 so i see why they added 90 degress",
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},
{
"id": 1008506585556983800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/14/2022 18:45:07",
"content": "You add ABC + CBD",
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},
{
"id": 1008506594356629500,
"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:45:09",
"content": "yea",
"attachments": [],
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},
{
"id": 1008506824963674200,
"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:46:04",
"content": "thank u man",
"attachments": [],
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},
{
"id": 1008506869276491800,
"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:46:14",
"content": "really appreciate it",
"attachments": [],
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"reference": null
},
{
"id": 1008506889321074800,
"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:46:19",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1008506891384668300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 18:46:20",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
107b5bf232084ab198ac1205f8c03891
|
197,842 |
[
{
"id": 1008506991989244000,
"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:46:44",
"content": ".reopen",
"attachments": [],
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"reference": null
},
{
"id": 1008506997030801500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 18:46:45",
"content": "✅",
"attachments": [],
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"reference": null
},
{
"id": 1008507026814550000,
"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:46:52",
"content": "what would a problem like this be called?",
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},
{
"id": 1008507046657802400,
"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:46:57",
"content": "is this just angle addition postulate",
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},
{
"id": 1008507135304400900,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/14/2022 18:47:18",
"content": "Not sure",
"attachments": [],
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},
{
"id": 1008507155537731600,
"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:47:23",
"content": "aha lr",
"attachments": [],
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"reference": null
},
{
"id": 1008507160197611500,
"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:47:24",
"content": "ah alr",
"attachments": [],
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},
{
"id": 1008507197430448300,
"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:47:33",
"content": "ty tho",
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},
{
"id": 1008507201763168400,
"author_id": 551849140070514700,
"author_name": "324242aqq",
"timestamp": "08/14/2022 18:47:34",
"content": ".close",
"attachments": [],
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},
{
"id": 1008507203205996500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 18:47:34",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
b8cb3a37f8d3470e9af2570b5b3d9eb8
|
197,843 |
[
{
"id": 1008509516226240500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 18:56:45",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1008510446883582100,
"author_id": 319232839302512640,
"author_name": "juanfran",
"timestamp": "08/14/2022 19:00:27",
"content": "They ask for limit (x;y)-->(2;0) of that function, the answer is 0 but i dont understand how to get there, i suspect its something to do with bound times infinitesimy = 0, but im kinda stuck. i appreciate the help",
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"timestamp": "08/14/2022 19:00:28",
"content": "Pinned a message.",
"attachments": [],
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},
{
"id": 1008511358939185200,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/14/2022 19:04:05",
"content": "It equals",
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},
{
"id": 1008511455198453900,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/14/2022 19:04:28",
"content": "$\\frac{(x-2)y}{(x-2)^{2}+y^{2}}$",
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},
{
"id": 1008511469484253300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/14/2022 19:04:31",
"content": "**Cogwheels of the mind**",
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{
"id": 1008511654025248800,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/14/2022 19:05:15",
"content": "(y(x-2)) / ((x-2)^2 + y^2).\nThen using polar coordinates centered around (2,0) solves it",
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},
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"id": 1008511677983117400,
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"author_name": "Cogwheels of the mind",
"timestamp": "08/14/2022 19:05:21",
"content": "So same as $\\lim_{(x,y) \\to (0,0)}\\frac{xy}{x^{2}+y^{2}}$",
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"id": 1008511688229798000,
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"author_name": "TeXit",
"timestamp": "08/14/2022 19:05:23",
"content": "**Cogwheels of the mind**",
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"author_name": "juanfran",
"timestamp": "08/14/2022 19:05:58",
"content": "let me think about on paper brb",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/14/2022 19:06:03",
"content": "So I don’t think it exists",
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},
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"id": 1008511956401000600,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/14/2022 19:06:27",
"content": "It doesn't",
"attachments": [],
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},
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"id": 1008511999866572900,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/14/2022 19:06:38",
"content": "Yeah",
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},
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"id": 1008512100383076500,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/14/2022 19:07:01",
"content": "Because it's cos(theta)sin(theta) which is anywhere from -1/2 to 1/2",
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"id": 1008512235448053900,
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"author_name": "juanfran",
"timestamp": "08/14/2022 19:07:34",
"content": "yeah i got it know, the answer is wrong, it thought me off",
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},
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"id": 1008512265970008000,
"author_id": 319232839302512640,
"author_name": "juanfran",
"timestamp": "08/14/2022 19:07:41",
"content": "thank you so much",
"attachments": [],
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},
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"author_id": 319232839302512640,
"author_name": "juanfran",
"timestamp": "08/14/2022 19:07:54",
"content": "so how do i close it now?",
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},
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"author_id": 319232839302512640,
"author_name": "juanfran",
"timestamp": "08/14/2022 19:07:57",
"content": "the thread",
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},
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"id": 1008512447763718300,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/14/2022 19:08:24",
"content": ".close",
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"reference": null
},
{
"id": 1008512468240302100,
"author_id": 319232839302512640,
"author_name": "juanfran",
"timestamp": "08/14/2022 19:08:29",
"content": "oh ty",
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},
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"author_id": 319232839302512640,
"author_name": "juanfran",
"timestamp": "08/14/2022 19:08:30",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1008512475131560000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 19:08:31",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
c39e7ce63dad4a83bb2976fcd57e796e
|
197,844 |
[
{
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"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 19:10:29",
"content": "Available help channel!",
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},
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"id": 1008516666319183900,
"author_id": 292481663466733600,
"author_name": "postmodern",
"timestamp": "08/14/2022 19:25:10",
"content": "Hello, I have a question on speed and acceleration",
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"content": "Pinned a message.",
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"author_id": 292481663466733600,
"author_name": "postmodern",
"timestamp": "08/14/2022 19:25:33",
"content": "In the book it says that a particle is decreasing when both acceleration and velocity have opposite signs",
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"timestamp": "08/14/2022 19:25:54",
"content": "but im confused on that\n\nIf I'm driving and slam the breaks my velocity is negative and so is my acceleration",
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"timestamp": "08/14/2022 19:26:56",
"content": "It makes sense that if Acceleration is positive so shall velocity",
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"author_name": "postmodern",
"timestamp": "08/14/2022 19:27:53",
"content": "Or am I misinterpreting",
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"author_name": "tatpoj",
"timestamp": "08/14/2022 19:27:55",
"content": "No, if you're driving in the positive direction, and you hit the brakes, your acceleration is negative and your velocity is still positive, at least until you slow to rest",
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"timestamp": "08/14/2022 19:28:32",
"content": "but isn't it increasing in a decreasing rate for v(t)?",
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"timestamp": "08/14/2022 19:28:44",
"content": "when I guess means positive",
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"author_name": "tatpoj",
"timestamp": "08/14/2022 19:29:18",
"content": "The car's velocity is decreasing, yes. If I understand you correctly",
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"timestamp": "08/14/2022 19:29:25",
"content": "but if my acceleration starts to decline shouldnt my velocity decline",
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"author_name": "postmodern",
"timestamp": "08/14/2022 19:29:30",
"content": "both signs will be negative?",
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"author_name": "tatpoj",
"timestamp": "08/14/2022 19:29:58",
"content": "If you have negative acceleration, then the velocity is decreasing, which means it will become negative eventually",
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"timestamp": "08/14/2022 19:30:18",
"content": "In the car example, negative velocity would mean you're going in reverse",
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"author_name": "tatpoj",
"timestamp": "08/14/2022 19:30:58",
"content": "But it's not negative immediately",
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"id": 1008518392778596500,
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"author_name": "postmodern",
"timestamp": "08/14/2022 19:32:02",
"content": "right because the velocity means in the instant rate of change on speed\n\nso if i slam the breaks acceleration is decreasing (negative) but velocity is positive at decreasing rates until it hits zero (car stops)\n\ncorrect?",
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"id": 1008518590351282200,
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"author_name": "tatpoj",
"timestamp": "08/14/2022 19:32:49",
"content": "You're using the words negative and decreasing interchangeably, which is not correct",
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{
"id": 1008518711788974200,
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"author_name": "postmodern",
"timestamp": "08/14/2022 19:33:18",
"content": "apologies, intro to physics is in my todo list",
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"id": 1008518775676604400,
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"author_name": "tatpoj",
"timestamp": "08/14/2022 19:33:33",
"content": "If you hit the brakes, your acceleration is negative.\nNegative acceleration means decreasing velocity.",
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{
"id": 1008519135992496300,
"author_id": 292481663466733600,
"author_name": "postmodern",
"timestamp": "08/14/2022 19:34:59",
"content": "if it's deceleration would this mean that it is having opposite signs with velocity",
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"id": 1008519394919469200,
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"author_name": "tatpoj",
"timestamp": "08/14/2022 19:36:01",
"content": "Yeah, right, if the car was going in the negative direction (moving backward), then applying the brakes would provide positive acceleration.",
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"id": 1008519506068521100,
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"timestamp": "08/14/2022 19:36:27",
"content": "sounds good, thank you!",
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"id": 1008519535013417100,
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"author_name": "tatpoj",
"timestamp": "08/14/2022 19:36:34",
"content": "Sure thing",
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"timestamp": "08/14/2022 19:36:37",
"content": ".close",
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},
{
"id": 1008519550880464900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 19:36:38",
"content": "Channel closed",
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}
] |
help-9
|
a4b057f5c6274d91b13ebcd4fbe8a00c
|
197,845 |
[
{
"id": 1008519803423703000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/14/2022 19:37:38",
"content": "Available help channel!",
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"id": 1008541737842659300,
"author_id": 573905759134548000,
"author_name": "Nonna",
"timestamp": "08/14/2022 21:04:48",
"content": "Family of circles: $x^2 + y^2 +4x - ky - 2k = 0$.\\\\\nFor which value of k is the area 9π?\\\\\\\\\nI completed the squares and got \\\\$(x+2)^2+\\left(y-\\frac 1 2 k\\right)^2 = \\frac 1 4 k^2 + 2k + 4x$\\\\\\\\\nThen I tried to solve for the area:\\\\\\\\\n$A = \\cancel\\pi (\\frac 1 4 k^2 + 2k + 4x)^2 = 3^2 \\cdot \\cancel\\pi$ Here we can ignore the ² on both sides and only consider positive solutions\n$\\frac 1 4 k^2 + 2k + 4x = 3$\\\\\\\\\nHere's where I get stuck, because I'm left with two variables",
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"timestamp": "08/14/2022 21:04:48",
"content": "Pinned a message.",
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"timestamp": "08/14/2022 21:05:18",
"content": "**Nonna**",
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"author_name": "Nonna",
"timestamp": "08/14/2022 21:06:01",
"content": "What should I do?",
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"id": 1008542131813634200,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "08/14/2022 21:06:22",
"content": "there should be no 4x on the right side",
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},
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"id": 1008542164617281700,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "08/14/2022 21:06:29",
"content": "check your completing the squares work again",
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"id": 1008542302525997000,
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"author_name": "Eric Tao",
"timestamp": "08/14/2022 21:07:02",
"content": "also note that the right hand side of the equation is r^2 not r",
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"author_name": "Nonna",
"timestamp": "08/14/2022 21:08:00",
"content": "Oh you are right",
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"timestamp": "08/14/2022 21:08:14",
"content": "💀 That's a huge mistake hahah! Thanks again",
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"timestamp": "08/14/2022 21:08:28",
"content": "Haha no problem",
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"timestamp": "08/14/2022 21:08:30",
"content": ".close",
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"timestamp": "08/14/2022 21:08:30",
"content": "Channel closed",
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}
] |
help-9
|
fad4d831d0a6454aafa4a75a5ef5badb
|
197,846 |
[
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"timestamp": "08/14/2022 21:14:50",
"content": "Available help channel!",
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"id": 1008555864988328100,
"author_id": 771056635199619100,
"author_name": "Fluffy.Bullet",
"timestamp": "08/14/2022 22:00:56",
"content": "how do you get 2sin (whatever that symbol is) and 2cos (whatever that symbol is)? can someone explain this please. and can someone explain what that symbol is. thanks 🙂",
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"content": "Pinned a message.",
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"author_id": 771056635199619100,
"author_name": "Fluffy.Bullet",
"timestamp": "08/14/2022 22:00:58",
"content": "for a and b",
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},
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"id": 1008557591544213600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/14/2022 22:07:47",
"content": "Fyi, that symbol is phi",
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"id": 1008557611660091500,
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"author_name": "dldh06",
"timestamp": "08/14/2022 22:07:52",
"content": "$\\phi$",
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"author_name": "TeXit",
"timestamp": "08/14/2022 22:07:55",
"content": "**dldh06**",
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"author_name": "Fluffy.Bullet",
"timestamp": "08/14/2022 22:12:10",
"content": "thank you and can you explain how youg et 2cos phi and 2sin phi?",
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"timestamp": "08/14/2022 22:27:10",
"content": "@Fluffy.Bullet Has your question been resolved?",
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"timestamp": "08/14/2022 22:57:41",
"content": "@Fluffy.Bullet Has your question been resolved?",
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"timestamp": "08/14/2022 23:05:43",
"content": "oh and this will be the diagram",
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"author_id": 771056635199619100,
"author_name": "Fluffy.Bullet",
"timestamp": "08/14/2022 23:05:45",
"content": "",
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"author_name": "Fluffy.Bullet",
"timestamp": "08/14/2022 23:05:45",
"content": "my bad",
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},
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"id": 1008587277921943600,
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"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 00:05:45",
"content": "@Fluffy.Bullet Has your question been resolved?",
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{
"id": 1008587411384717300,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/15/2022 00:06:17",
"content": "um",
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},
{
"id": 1008587491101659300,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/15/2022 00:06:36",
"content": "sin(phi) = AD/BD",
"attachments": [],
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},
{
"id": 1008587513553756300,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/15/2022 00:06:41",
"content": "so",
"attachments": [],
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},
{
"id": 1008587540451823700,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/15/2022 00:06:48",
"content": "since BD is 2r",
"attachments": [],
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},
{
"id": 1008587598014464000,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/15/2022 00:07:02",
"content": "AD = b = 2r sin(phi)",
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},
{
"id": 1008587722912440400,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/15/2022 00:07:31",
"content": "cos (phi) = AB/BD",
"attachments": [],
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},
{
"id": 1008587733427556500,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/15/2022 00:07:34",
"content": "so",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008587800062468100,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/15/2022 00:07:50",
"content": "AB = a = 2r cos(phi)",
"attachments": [],
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},
{
"id": 1008587926801748000,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/15/2022 00:08:20",
"content": "since r = 1 cm",
"attachments": [],
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},
{
"id": 1008587994866917400,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/15/2022 00:08:36",
"content": "a = 2cos(phi)\nb = 2sin(phi)",
"attachments": [],
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},
{
"id": 1008588065947795500,
"author_id": 771056635199619100,
"author_name": "Fluffy.Bullet",
"timestamp": "08/15/2022 00:08:53",
"content": "did u use special triangle or right triangle?",
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},
{
"id": 1008588127968956500,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/15/2022 00:09:08",
"content": "right triangle",
"attachments": [],
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},
{
"id": 1008588147648635000,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/15/2022 00:09:13",
"content": "cuz its rectangle",
"attachments": [],
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},
{
"id": 1008588202044555300,
"author_id": 771056635199619100,
"author_name": "Fluffy.Bullet",
"timestamp": "08/15/2022 00:09:26",
"content": "oh thank you",
"attachments": [],
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},
{
"id": 1008588223825596500,
"author_id": 885504026177831000,
"author_name": "OmRolex02",
"timestamp": "08/15/2022 00:09:31",
"content": "wc",
"attachments": [],
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"reference": null
},
{
"id": 1008588308227575800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 00:09:51",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
1a7a301dba194488989ea4bcca9be7c0
|
197,847 |
[
{
"id": 1008625359832481900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 02:37:05",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008625478313185300,
"author_id": 852595755302912000,
"author_name": "YoursTruly",
"timestamp": "08/15/2022 02:37:33",
"content": "What is wrong with my approach? I filled (CC) in the gaps instead of S as given in the solution.",
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{
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"id": 1008625480125124600,
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"timestamp": "08/15/2022 02:37:33",
"content": "Pinned a message.",
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"id": 1008629253996290000,
"author_id": 805217272087838700,
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"timestamp": "08/15/2022 02:52:33",
"content": "@YoursTruly Has your question been resolved?",
"attachments": [],
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{
"id": 1008631051469455400,
"author_id": 852225858457436200,
"author_name": "astroanax",
"timestamp": "08/15/2022 02:59:42",
"content": "Cengage huh?",
"attachments": [],
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"id": 1008631274161836200,
"author_id": 852595755302912000,
"author_name": "YoursTruly",
"timestamp": "08/15/2022 03:00:35",
"content": "I even cropped the illustration number part to ensure that someone wouldn't redundantly point that out for the nth time.. the green color always gives it away I guess.",
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},
{
"id": 1008634855707394000,
"author_id": 852225858457436200,
"author_name": "astroanax",
"timestamp": "08/15/2022 03:14:49",
"content": "Do you any know other jee servers where you can actually get help?",
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"id": 1008634970971050000,
"author_id": 852595755302912000,
"author_name": "YoursTruly",
"timestamp": "08/15/2022 03:15:16",
"content": "Attempting a little test.. will get back to you in a while.",
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},
{
"id": 1008636894755704800,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/15/2022 03:22:55",
"content": "What you found is 2 Cs together, but you didn’t consider the fact that no 2 S should be together",
"attachments": [],
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{
"id": 1008637128986591400,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/15/2022 03:23:51",
"content": "You’re saying USCC**SS**E is one of the solution",
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},
{
"id": 1008637183911018500,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/15/2022 03:24:04",
"content": "Which is wrong",
"attachments": [],
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},
{
"id": 1008637350290653300,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/15/2022 03:24:43",
"content": "Do you get that?",
"attachments": [],
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},
{
"id": 1008637363263639600,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/15/2022 03:24:46",
"content": "@YoursTruly",
"attachments": [],
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 03:45:16",
"content": "@YoursTruly Has your question been resolved?",
"attachments": [],
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"author_id": 852595755302912000,
"author_name": "YoursTruly",
"timestamp": "08/15/2022 04:07:06",
"content": "Right. I forgot that the \"CC\" can only occupy one place at a time.. is it possible to rewrite my method to be able to accommodate the condition?",
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"id": 1008648919309373400,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/15/2022 04:10:42",
"content": "No, the main issue here you see is with SS being together, you don’t want that",
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"author_id": 852595755302912000,
"author_name": "YoursTruly",
"timestamp": "08/15/2022 04:11:25",
"content": "Thank you for your time and assistance.",
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},
{
"id": 1008649123299332100,
"author_id": 852595755302912000,
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"timestamp": "08/15/2022 04:11:30",
"content": ".close",
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},
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"id": 1008649125467795600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 04:11:31",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
94aebf8ffddc4094b0ab2f9a1c4fba71
|
197,848 |
[
{
"id": 959819618459992200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 10:20:29",
"content": "Available help channel!",
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},
{
"id": 959820638263054300,
"author_id": 900480876314492900,
"author_name": "PT",
"timestamp": "04/02/2022 10:24:32",
"content": "how do we find Z?",
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"content": "Pinned a message.",
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{
"id": 959820661063295000,
"author_id": 900480876314492900,
"author_name": "PT",
"timestamp": "04/02/2022 10:24:38",
"content": "from z table",
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},
{
"id": 959821605020790900,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/02/2022 10:28:23",
"content": "Might wanna be more specific",
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},
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"id": 959824437094539300,
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"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 10:39:38",
"content": "@PT Has your question been resolved?",
"attachments": [],
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"name": "PT",
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},
{
"id": 959826378587516900,
"author_id": 900480876314492900,
"author_name": "PT",
"timestamp": "04/02/2022 10:47:21",
"content": "im working on this and i think im supposed to use this eqution to solve a,c and d but how do I find the variable z?",
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"id": 959826404969697300,
"author_id": 900480876314492900,
"author_name": "PT",
"timestamp": "04/02/2022 10:47:27",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 959828234294399000,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/02/2022 10:54:43",
"content": "Look up a Z-table for example?",
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},
{
"id": 959828484274921500,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/02/2022 10:55:43",
"content": "And find the alpha/2 quantile",
"attachments": [],
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},
{
"id": 959828517078589400,
"author_id": 900480876314492900,
"author_name": "PT",
"timestamp": "04/02/2022 10:55:51",
"content": "i looked at a ze table before but which value should i choose?",
"attachments": [],
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},
{
"id": 959828554445623300,
"author_id": 900480876314492900,
"author_name": "PT",
"timestamp": "04/02/2022 10:56:00",
"content": "this may sound silly but im kind of lose here",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959828590193696800,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/02/2022 10:56:08",
"content": "Figure out what alpha is",
"attachments": [],
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"reference": null
},
{
"id": 959828683680522200,
"author_id": 900480876314492900,
"author_name": "PT",
"timestamp": "04/02/2022 10:56:30",
"content": "how?",
"attachments": [],
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},
{
"id": 959828739078901800,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/02/2022 10:56:44",
"content": "Says so in the question",
"attachments": [],
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},
{
"id": 959828775862939600,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/02/2022 10:56:52",
"content": "If you know what alpha even refers to",
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},
{
"id": 959828912601436200,
"author_id": 900480876314492900,
"author_name": "PT",
"timestamp": "04/02/2022 10:57:25",
"content": "no",
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},
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"id": 959829066440138800,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/02/2022 10:58:02",
"content": "I’m sure it is mentioned where ever you found that formula what alpha is for example",
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},
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"id": 959829153920720900,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "04/02/2022 10:58:23",
"content": "Or legit on like any page on CI/hypothesis testing in your book",
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},
{
"id": 959829342827987000,
"author_id": 900480876314492900,
"author_name": "PT",
"timestamp": "04/02/2022 10:59:08",
"content": "ok i will do research, thanks for the help",
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},
{
"id": 959829481902719000,
"author_id": 900480876314492900,
"author_name": "PT",
"timestamp": "04/02/2022 10:59:41",
"content": ".close",
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"reference": null
},
{
"id": 959829483756617900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 10:59:41",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
aee5b766c1a74b4ea9c43ab6190ab620
|
197,849 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 04:12:31",
"content": "Available help channel!",
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},
{
"id": 1008656911144587300,
"author_id": 698392329983230000,
"author_name": "mcrive",
"timestamp": "08/15/2022 04:42:27",
"content": "Can someone help me find b for question 5d",
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"timestamp": "08/15/2022 04:42:28",
"content": "Pinned a message.",
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},
{
"id": 1008658538417107000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/15/2022 04:48:55",
"content": "its implied that b° is a central angle",
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},
{
"id": 1008658687088406700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/15/2022 04:49:30",
"content": "after finding a°, its pretty much applying properties of radii and angle sum of a triangle",
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},
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"timestamp": "08/15/2022 04:57:27",
"content": "@mcrive Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
382d505c221a416a985992c2478e5d13
|
197,850 |
[
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"timestamp": "08/15/2022 05:07:10",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"author_id": 561106885739020300,
"author_name": "sush",
"timestamp": "08/15/2022 05:12:26",
"content": "I got up to the general form of each of them and am unsure of what to do next",
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"id": 1008664684720824300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/15/2022 05:13:20",
"content": "recommend first massaging this expression somewhat",
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},
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"id": 1008664908927344600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/15/2022 05:14:14",
"content": "$(x-x^{-1})^9(x+x^{-1})^5 = x^{-14}(x^2-1)^9(x^2+1)^5 \\\\ = x^{-14}(x^4-1)^5(x^2-1)^4$",
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"id": 1008664919975137300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/15/2022 05:14:17",
"content": "**Ann**",
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"id": 1008664986698121200,
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"author_name": "sush",
"timestamp": "08/15/2022 05:14:32",
"content": "wait i first skipped a couple of steps at the beginning",
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"id": 1008665002808459400,
"author_id": 561106885739020300,
"author_name": "sush",
"timestamp": "08/15/2022 05:14:36",
"content": "I did difference of two squares",
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"id": 1008665017417207800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/15/2022 05:14:40",
"content": "so you are now instead finding the coefficient of x^16 in (x^4 - 1)^5 * (x^2 - 1)^4",
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"id": 1008665047012216800,
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"timestamp": "08/15/2022 05:14:47",
"content": "as did i...",
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"id": 1008665601151090700,
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"author_name": "sush",
"timestamp": "08/15/2022 05:16:59",
"content": "how did u get a x^-14 on the outside for the first part",
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"timestamp": "08/15/2022 05:17:22",
"content": "nvm i got it",
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"id": 1008666137275408500,
"author_id": 561106885739020300,
"author_name": "sush",
"timestamp": "08/15/2022 05:19:07",
"content": "could you explain why the goal changes to finding coefficient of x^16?",
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},
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"id": 1008669913101115400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 05:34:07",
"content": "@sush Has your question been resolved?",
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"author_name": "sush",
"timestamp": "08/15/2022 05:55:47",
"content": "can someone tell me why and how they do this?",
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},
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"id": 1008675382200893400,
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"id": 1008675385698943000,
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"author_name": "sush",
"timestamp": "08/15/2022 05:55:52",
"content": "? part of the same qussesiton",
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},
{
"id": 1008682467298922500,
"author_id": 588984609052819500,
"author_name": "DOOM",
"timestamp": "08/15/2022 06:24:00",
"content": "hey i have an int calc problem in my channel see if you can help me",
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"timestamp": "08/15/2022 06:34:00",
"content": "@sush Has your question been resolved?",
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"timestamp": "08/15/2022 07:04:01",
"content": "Channel closed",
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}
] |
help-9
|
6664ebbe8c5c4ec986e72f1ceca3371c
|
197,851 |
[
{
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"content": "Available help channel!",
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"id": 1008694861194608800,
"author_id": 626513049963987000,
"author_name": "kasim",
"timestamp": "08/15/2022 07:13:15",
"content": "hi i’m really stuck on this stats question was wondering if someone could help:\n\nConsider a random sample of 19 observations of two variables x and y. The data yield the following statistics:\nx̄ = 3562\nȳ = 491\nΣ (xi - x̄)^2 = 24838754\nΣ (yi- ȳ)^2 = 21428\nr=-0.71\n\n1. what is the value of the coefficient of determination for the regression of y on x?\n\n2. what is the value of the estimated intercept for the regression model of y on x?\n\n3. what is the value of the estimated model error variance for the regression model of y on x?\n\nplease could someone help as i don’t have any idea where to start",
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"timestamp": "08/15/2022 07:13:16",
"content": "Pinned a message.",
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"timestamp": "08/15/2022 07:28:15",
"content": "@kasim Has your question been resolved?",
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"timestamp": "08/15/2022 07:36:10",
"content": "@Helpers",
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"timestamp": "08/15/2022 08:06:10",
"content": "@kasim Has your question been resolved?",
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"timestamp": "08/15/2022 09:10:34",
"content": "@kasim Has your question been resolved?",
"attachments": [],
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"content": "Channel closed",
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] |
help-9
|
6bf3f38d8d9d4ea98a59be1215894983
|
197,852 |
[
{
"id": 1008751446545674400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 10:58:06",
"content": "Available help channel!",
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},
{
"id": 1008757839944220700,
"author_id": 573035389955080200,
"author_name": "ღVODKAღ",
"timestamp": "08/15/2022 11:23:30",
"content": "what is this? \"a primitive root modulo \" g = 5 (which is a primitive root modulo 23). \"",
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"timestamp": "08/15/2022 11:23:31",
"content": "Pinned a message.",
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"author_name": "ღVODKAღ",
"timestamp": "08/15/2022 11:24:15",
"content": "also how can I calculate it",
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{
"id": 1008758457769398400,
"author_id": 573035389955080200,
"author_name": "ღVODKAღ",
"timestamp": "08/15/2022 11:25:58",
"content": "or is it just the name and it is just a arndom number",
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"id": 1008758491550326800,
"author_id": 573035389955080200,
"author_name": "ღVODKAღ",
"timestamp": "08/15/2022 11:26:06",
"content": "its for diffie hellman key exchange",
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},
{
"id": 1008758546810282000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/15/2022 11:26:19",
"content": "A generator of cyclic group U(Z/nZ) is called a primitive root",
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},
{
"id": 1008758635293323400,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/15/2022 11:26:40",
"content": "When U(Z/nZ) is cyclic",
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},
{
"id": 1008758789144596500,
"author_id": 573035389955080200,
"author_name": "ღVODKAღ",
"timestamp": "08/15/2022 11:27:17",
"content": "I dont really understand it.",
"attachments": [],
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},
{
"id": 1008758830408155300,
"author_id": 573035389955080200,
"author_name": "ღVODKAღ",
"timestamp": "08/15/2022 11:27:27",
"content": "im just 14 and weary bad with math",
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},
{
"id": 1008758830949220400,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/15/2022 11:27:27",
"content": "And there is no good way to find one",
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},
{
"id": 1008758866588225700,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/15/2022 11:27:35",
"content": "Generally difficult",
"attachments": [],
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},
{
"id": 1008758943771799700,
"author_id": 573035389955080200,
"author_name": "ღVODKAღ",
"timestamp": "08/15/2022 11:27:54",
"content": "how can I than?",
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"id": 1008759026391204000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/15/2022 11:28:13",
"content": "No good way",
"attachments": [],
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},
{
"id": 1008759072469827600,
"author_id": 573035389955080200,
"author_name": "ღVODKAღ",
"timestamp": "08/15/2022 11:28:24",
"content": "what do you recomand than *",
"attachments": [],
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},
{
"id": 1008759112923881600,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/15/2022 11:28:34",
"content": "There isn’t",
"attachments": [],
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},
{
"id": 1008759132947484700,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/15/2022 11:28:39",
"content": "It’s not a solved problem",
"attachments": [],
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},
{
"id": 1008759258311033000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/15/2022 11:29:09",
"content": "You have to verify whether a given number is primitive root or not",
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},
{
"id": 1008759332164337800,
"author_id": 573035389955080200,
"author_name": "ღVODKAღ",
"timestamp": "08/15/2022 11:29:26",
"content": "how does it work ?",
"attachments": [],
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},
{
"id": 1008759366251450500,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/15/2022 11:29:34",
"content": "What do you mean",
"attachments": [],
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},
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"id": 1008759417451323400,
"author_id": 573035389955080200,
"author_name": "ღVODKAღ",
"timestamp": "08/15/2022 11:29:46",
"content": "how do I verify it ?",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/15/2022 11:29:58",
"content": "Give me a number n",
"attachments": [],
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},
{
"id": 1008759519377117300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/15/2022 11:30:11",
"content": "And a number m relatively prime to n",
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},
{
"id": 1008759527899930600,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/15/2022 11:30:13",
"content": "I show you",
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},
{
"id": 1008759557234892900,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/15/2022 11:30:20",
"content": "choose small one",
"attachments": [],
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},
{
"id": 1008759571885600800,
"author_id": 573035389955080200,
"author_name": "ღVODKAღ",
"timestamp": "08/15/2022 11:30:23",
"content": "3(n) and 5(m)",
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},
{
"id": 1008759633000792200,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/15/2022 11:30:38",
"content": "U(Z/5Z)={1,2,3,4}",
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},
{
"id": 1008759659580096500,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/15/2022 11:30:44",
"content": "3^1=3",
"attachments": [],
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},
{
"id": 1008759680824246400,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/15/2022 11:30:49",
"content": "3^2=4",
"attachments": [],
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},
{
"id": 1008759708355678300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/15/2022 11:30:56",
"content": "3^3=2",
"attachments": [],
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},
{
"id": 1008759733064323100,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/15/2022 11:31:02",
"content": "3^4=1",
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},
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"id": 1008759775246430200,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/15/2022 11:31:12",
"content": "So 3 is a primitive root mod 5",
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},
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"id": 1008759929978507300,
"author_id": 573035389955080200,
"author_name": "ღVODKAღ",
"timestamp": "08/15/2022 11:31:49",
"content": "nice",
"attachments": [],
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},
{
"id": 1008759937314341000,
"author_id": 573035389955080200,
"author_name": "ღVODKAღ",
"timestamp": "08/15/2022 11:31:50",
"content": "thanks",
"attachments": [],
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},
{
"id": 1008760175940862200,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/15/2022 11:32:47",
"content": "You edited?",
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},
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"id": 1008760255309684900,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/15/2022 11:33:06",
"content": "Whatever , 5=2 is a primitive root mod 3",
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"timestamp": "08/15/2022 11:33:17",
"content": "Same way",
"attachments": [],
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 11:46:51",
"content": "@ღVODKAღ Has your question been resolved?",
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"timestamp": "08/15/2022 12:01:51",
"content": "Channel closed",
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}
] |
help-9
|
02c34585d51a4315ba6ac5e661833f2b
|
197,853 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 12:02:51",
"content": "Available help channel!",
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},
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"id": 1008769130972840000,
"author_id": 470204739225649150,
"author_name": "無mamma mai虚",
"timestamp": "08/15/2022 12:08:22",
"content": "how can i find the equation for the shape of a bent ruler?",
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"content": "Pinned a message.",
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"author_id": 470204739225649150,
"author_name": "無mamma mai虚",
"timestamp": "08/15/2022 12:09:32",
"content": "the shape can only appear after i apply some perpendicular force and then stop applying it and i keep the horizontal force constant",
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"author_name": "無mamma mai虚",
"timestamp": "08/15/2022 12:09:38",
"content": "now everything is stationary",
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"author_name": "無mamma mai虚",
"timestamp": "08/15/2022 12:09:49",
"content": "so how can i get even an equation to solve from this setup",
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"id": 1008770176436682800,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/15/2022 12:12:32",
"content": "very complicated question. That depends on the elasticity of the ruler surely. If you really want to know that, I think you're better off asking in some physics/engineering server",
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"timestamp": "08/15/2022 12:24:49",
"content": "@無mamma mai虚 Has your question been resolved?",
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"timestamp": "08/15/2022 12:27:37",
"content": "soryr for the late reply, but, okay, i will try that",
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"content": "@無mamma mai虚 Has your question been resolved?",
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"content": ".close",
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help-9
|
d910e34cd73d40ca9fc67928686cccfe
|
197,854 |
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"timestamp": "08/15/2022 13:07:32",
"content": "Available help channel!",
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"id": 1008784393797640300,
"author_id": 805217272087838700,
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"content": "Pinned a message.",
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"timestamp": "08/15/2022 13:09:41",
"content": "Where is my approach at evaluating the antiderivative going wrong?",
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"timestamp": "08/15/2022 13:10:33",
"content": "Sorry top part should be cut, 1 sec",
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help-9
|
ec8bec1e02aa4fecb9865f273ca59176
|
197,855 |
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"id": 1008784987857879200,
"author_id": 686029440135725000,
"author_name": "4634",
"timestamp": "08/15/2022 13:11:23",
"content": ".open",
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"id": 1008785042786504700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/15/2022 13:11:36",
"content": "nothing wrong",
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"id": 1008785163834114200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/15/2022 13:12:05",
"content": "$\\sqrt{x} = x^{1/2}$",
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"author_id": 510789298321096700,
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"timestamp": "08/15/2022 13:12:08",
"content": "**riemann**",
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"timestamp": "08/15/2022 13:13:46",
"content": "$x\\sqrt{x} = x^{3/2}",
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"timestamp": "08/15/2022 13:13:53",
"content": "or what do you mean?",
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"id": 1008785762931716200,
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"author_name": "riemann",
"timestamp": "08/15/2022 13:14:28",
"content": "both are true.",
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"author_name": "ramonov",
"timestamp": "08/15/2022 13:14:38",
"content": "your final results are equivalent,\nthey're just in a different form",
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"id": 1008785884084174800,
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"author_name": "4634",
"timestamp": "08/15/2022 13:14:57",
"content": "Oh, so it's just a different way to arrive at the expression. I'm honestly confused how the book arrived at that",
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"id": 1008785901897404500,
"author_id": 686029440135725000,
"author_name": "4634",
"timestamp": "08/15/2022 13:15:01",
"content": "Thank you!",
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{
"id": 1008786009892327400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/15/2022 13:15:27",
"content": "though it'd probably be nicer to write that\n$$\\sqrt{2}\\frac25$$\nas\n$$\\frac{2\\sqrt{2}}{5}$$",
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"author_name": "TeXit",
"timestamp": "08/15/2022 13:15:30",
"content": "**ℝamonov**",
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"timestamp": "08/15/2022 13:15:42",
"content": "the rest is exponent and radical laws",
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"author_name": "ramonov",
"timestamp": "08/15/2022 13:16:02",
"content": "something you should be well familiar with by the time you reach integral calculus (or just calc in general)",
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"timestamp": "08/15/2022 13:16:50",
"content": "Yes thank you! The confusing part is how they got the isolated sqrt(2x) term, doesn't seem as obvious to derive that",
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"content": "Available help channel!",
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"timestamp": "08/15/2022 13:19:23",
"content": ".close",
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"timestamp": "08/15/2022 13:21:57",
"content": "i dont know how to solve this",
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"author_name": "Marialysssr",
"timestamp": "08/15/2022 13:22:28",
"content": "i understand this",
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"timestamp": "08/15/2022 13:22:40",
"content": "but not this",
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"author_id": 381971715296722940,
"author_name": "ELeonardo",
"timestamp": "08/15/2022 13:23:09",
"content": "Hello, try partial fractions decomposition for 4 and 5",
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"timestamp": "08/15/2022 13:23:36",
"content": "wdym",
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"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:25:08",
"content": "one way to do is if u know the graph",
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"author_name": "Marialysssr",
"timestamp": "08/15/2022 13:25:39",
"content": "i don't",
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"author_id": 381971715296722940,
"author_name": "ELeonardo",
"timestamp": "08/15/2022 13:26:04",
"content": "rewrite each fraction as a pair of fractions",
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"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:26:07",
"content": "then just take close enough values and see what u get?",
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"timestamp": "08/15/2022 13:26:56",
"content": "it gives me 0",
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"author_name": "Marialysssr",
"timestamp": "08/15/2022 13:27:07",
"content": "in both sides of 1",
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"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:27:22",
"content": "the overall limit u mean?",
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"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:27:41",
"content": "or just the denominator",
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"author_id": 513076258591080450,
"author_name": "Marialysssr",
"timestamp": "08/15/2022 13:27:52",
"content": "the overall",
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"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:28:00",
"content": "how💀",
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"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:28:32",
"content": "we doing no.4 right?",
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"timestamp": "08/15/2022 13:28:45",
"content": "yes",
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"author_name": "Marialysssr",
"timestamp": "08/15/2022 13:28:51",
"content": "1.1+1/1.1-1 it gives me 21",
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"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:29:11",
"content": "what",
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"timestamp": "08/15/2022 13:29:28",
"content": "idkkk",
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"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:29:31",
"content": "oh u took 1.1",
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"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:29:36",
"content": "yeah so",
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"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:29:44",
"content": "if ur checking for 1+",
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"timestamp": "08/15/2022 13:29:49",
"content": "take smaller and smaller values",
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"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:29:55",
"content": "which are to the right of 1",
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"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:29:58",
"content": "and see whats coming",
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},
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"id": 1008789790759588000,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:30:28",
"content": "since here u took 1.1, checking for something smaller",
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"timestamp": "08/15/2022 13:31:42",
"content": "okkk",
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"author_id": 470204739225649150,
"author_name": "無mamma mai虚",
"timestamp": "08/15/2022 13:31:45",
"content": "isn't 4 just an omographic function",
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"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:31:57",
"content": "whats omographic",
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"author_name": "無mamma mai虚",
"timestamp": "08/15/2022 13:32:24",
"content": "a func of type y =(ax+b)/(cx+d)",
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"author_name": "Supreme Goosling",
"timestamp": "08/15/2022 13:32:26",
"content": "so for 4 the limit as 1 approaches from the right and left side aren't the same therefore it diverges",
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"author_name": "Marialysssr",
"timestamp": "08/15/2022 13:33:01",
"content": "it gives me 201 i took 1,01",
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"timestamp": "08/15/2022 13:33:22",
"content": "it looks like that form yea",
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"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:33:33",
"content": "check for even smaller, and try to make sense of what ur doing",
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"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:33:45",
"content": "u dont need to check if u know whats happening",
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"author_name": "Supreme Goosling",
"timestamp": "08/15/2022 13:33:50",
"content": "so as 1+ gets bigger the limit approaches a larger value",
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"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:34:59",
"content": "what?",
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"author_name": "Marialysssr",
"timestamp": "08/15/2022 13:34:59",
"content": "so does it approaches to 2?",
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"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:35:11",
"content": "💀 how do u draw that conclusion",
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"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:35:29",
"content": "u literally got 201 for 1.01 as u said",
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"author_name": "無mamma mai虚",
"timestamp": "08/15/2022 13:35:42",
"content": "well since 1.01 already went way past 2 you can rule that conclusion out slready",
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"timestamp": "08/15/2022 13:35:58",
"content": "wait wait",
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"author_name": "無mamma mai虚",
"timestamp": "08/15/2022 13:36:15",
"content": "you see that as you get closer to 1 from the right the result blows up to positive infinity",
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"timestamp": "08/15/2022 13:36:15",
"content": "so is it +infinite",
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},
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"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:36:21",
"content": "right",
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"author_name": "無mamma mai虚",
"timestamp": "08/15/2022 13:36:25",
"content": "that's for 1+",
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"id": 1008791309886169200,
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"author_name": "無mamma mai虚",
"timestamp": "08/15/2022 13:36:30",
"content": "now test for 1-",
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"id": 1008791357063712800,
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"author_name": "無mamma mai虚",
"timestamp": "08/15/2022 13:36:41",
"content": "try plugging 0.99, 0.999 etc.",
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"id": 1008791389703778400,
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"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:36:49",
"content": "after uve checked for both, i recommend seeing the graph",
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},
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"author_id": 513076258591080450,
"author_name": "Marialysssr",
"timestamp": "08/15/2022 13:37:35",
"content": "so 1- is -infinite",
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},
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"id": 1008791602216575100,
"author_id": 470204739225649150,
"author_name": "無mamma mai虚",
"timestamp": "08/15/2022 13:37:40",
"content": "yes",
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},
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"id": 1008791755472253000,
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"author_name": "Marialysssr",
"timestamp": "08/15/2022 13:38:16",
"content": "i think i get it now thankss",
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},
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"id": 1008791844181786600,
"author_id": 513076258591080450,
"author_name": "Marialysssr",
"timestamp": "08/15/2022 13:38:38",
"content": ".close",
"attachments": [],
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},
{
"id": 1008791845767237600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 13:38:38",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
8ef57b285dfa44738dd4b764bb9e1ac2
|
197,856 |
[
{
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"author_id": 470204739225649150,
"author_name": "無mamma mai虚",
"timestamp": "08/15/2022 13:39:29",
"content": "aren't you supposed to say the limit doesn't exist at 1 though, because of the two infinities?",
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"content": "Available help channel!",
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"id": 1008792118883537000,
"author_id": 513076258591080450,
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"timestamp": "08/15/2022 13:39:43",
"content": "oh",
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"id": 1008792121349775500,
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"timestamp": "08/15/2022 13:39:44",
"content": "Pinned a message.",
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"id": 1008792142493261800,
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"author_name": "Supreme Goosling",
"timestamp": "08/15/2022 13:39:49",
"content": "^",
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"author_id": 513076258591080450,
"author_name": "Marialysssr",
"timestamp": "08/15/2022 13:39:52",
"content": "i didn't know that",
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"id": 1008792201767166000,
"author_id": 632983888536535000,
"author_name": "Supreme Goosling",
"timestamp": "08/15/2022 13:40:03",
"content": "You could also say the limit diverges",
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},
{
"id": 1008792251037646800,
"author_id": 470204739225649150,
"author_name": "無mamma mai虚",
"timestamp": "08/15/2022 13:40:15",
"content": "yeah",
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},
{
"id": 1008792341802401900,
"author_id": 489120531186974700,
"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:40:36",
"content": "but thats not what they asked",
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"author_id": 632983888536535000,
"author_name": "Supreme Goosling",
"timestamp": "08/15/2022 13:41:08",
"content": "yeah but this limit does not exist because the limits from the right and left arent the same.",
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"author_name": "idontsleepanymore",
"timestamp": "08/15/2022 13:41:20",
"content": "yes",
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"id": 1008793055417082000,
"author_id": 470204739225649150,
"author_name": "無mamma mai虚",
"timestamp": "08/15/2022 13:43:26",
"content": "wouldn't have been very helpful if we just let them throw in +-infty",
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"id": 1008793442861715600,
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"author_name": "無mamma mai虚",
"timestamp": "08/15/2022 13:44:59",
"content": "I'd still reccomend to.keep.in mind that the limit of the omographic function diverges at -d/c",
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"id": 1008793963542618200,
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"timestamp": "08/15/2022 13:47:03",
"content": "okk",
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"id": 1008794087769526300,
"author_id": 513076258591080450,
"author_name": "Marialysssr",
"timestamp": "08/15/2022 13:47:33",
"content": "what about in the 5",
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"id": 1008794196813025300,
"author_id": 513076258591080450,
"author_name": "Marialysssr",
"timestamp": "08/15/2022 13:47:59",
"content": "-1 - gives me +infinite",
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"id": 1008794314803007600,
"author_id": 513076258591080450,
"author_name": "Marialysssr",
"timestamp": "08/15/2022 13:48:27",
"content": "and -1+ gives me + infinite is it right?",
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{
"id": 1008794736758374500,
"author_id": 470204739225649150,
"author_name": "無mamma mai虚",
"timestamp": "08/15/2022 13:50:07",
"content": "no -1+ goes to -infty",
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{
"id": 1008794765418057900,
"author_id": 470204739225649150,
"author_name": "無mamma mai虚",
"timestamp": "08/15/2022 13:50:14",
"content": "how did you get +infty?",
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"id": 1008794938969952400,
"author_id": 470204739225649150,
"author_name": "無mamma mai虚",
"timestamp": "08/15/2022 13:50:55",
"content": "looking at the graph is kinda like cheating but it does in fact diverge too",
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"timestamp": "08/15/2022 13:52:06",
"content": "lol yeah i was putting 0,99",
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"author_id": 513076258591080450,
"author_name": "Marialysssr",
"timestamp": "08/15/2022 13:52:13",
"content": "instead of -0,99",
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"author_name": "Marialysssr",
"timestamp": "08/15/2022 14:03:24",
"content": ".close",
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"id": 1008798081275396200,
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"timestamp": "08/15/2022 14:03:25",
"content": "Channel closed",
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}
] |
help-9
|
60eae69228614b6087b4740743bf7ac1
|
197,857 |
[
{
"id": 1008807433856102400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 14:40:34",
"content": "Available help channel!",
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},
{
"id": 1008808660861993100,
"author_id": 238423528255258620,
"author_name": "Iskander",
"timestamp": "08/15/2022 14:45:27",
"content": "Is this correct?",
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},
{
"id": 1008808663114330400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 14:45:28",
"content": "Pinned a message.",
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}
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"id": 1008808665807061100,
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"author_name": "Iskander",
"timestamp": "08/15/2022 14:45:28",
"content": "",
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{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1008808665001758760/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 157166
}
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{
"id": 1008809142493917300,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/15/2022 14:47:22",
"content": "a,c,d is fine. b is not",
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},
{
"id": 1008809578181443700,
"author_id": 238423528255258620,
"author_name": "Iskander",
"timestamp": "08/15/2022 14:49:06",
"content": "so b would be -2",
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},
{
"id": 1008810030948167800,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/15/2022 14:50:54",
"content": "yeah, do you see why?",
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},
{
"id": 1008810492778791000,
"author_id": 238423528255258620,
"author_name": "Iskander",
"timestamp": "08/15/2022 14:52:44",
"content": "i'm trying to",
"attachments": [],
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},
{
"id": 1008810524609347600,
"author_id": 238423528255258620,
"author_name": "Iskander",
"timestamp": "08/15/2022 14:52:51",
"content": "but I think I'm missing something",
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},
{
"id": 1008810700459753600,
"author_id": 238423528255258620,
"author_name": "Iskander",
"timestamp": "08/15/2022 14:53:33",
"content": "Oh wait nvm",
"attachments": [],
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"reference": null
},
{
"id": 1008810723452932200,
"author_id": 238423528255258620,
"author_name": "Iskander",
"timestamp": "08/15/2022 14:53:39",
"content": "got it",
"attachments": [],
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},
{
"id": 1008810754801160200,
"author_id": 238423528255258620,
"author_name": "Iskander",
"timestamp": "08/15/2022 14:53:46",
"content": "thanks for the help",
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},
{
"id": 1008811021454033200,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/15/2022 14:54:50",
"content": "np",
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},
{
"id": 1008811104073437300,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/15/2022 14:55:10",
"content": "(basically, if you use row 1, you will reintroduce x_1 to row 2)",
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},
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"id": 1008811143860592600,
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"author_name": "Iskander",
"timestamp": "08/15/2022 14:55:19",
"content": ".close",
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},
{
"id": 1008811144984678500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 14:55:19",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
38d65b257c674abc80e8c2ca2a4729b6
|
197,858 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 14:56:20",
"content": "Available help channel!",
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},
{
"id": 1008813095826751500,
"author_id": 820928612336402400,
"author_name": "JuIian",
"timestamp": "08/15/2022 15:03:04",
"content": "I need help with a task. \n\nI got 4 points A(1/13/11) B(13/10/8) C(9/-1/3) and D(-3/2/6) \n\nThese form a square which is the base of an even pyramid. \n\nNow I need to find out the 2 possible Points for the peak of the pyramid E, so that the length of the height is 18 \n\nMy approach: First I created the vectors AB and AD. Then I created the vector product so I have a vector that is perpendicular to the base. \n\nI then calculated the middle point of the square M(-3/6/3) and added the appropriate amount of the perpendicular vector so the height is correct, but my solution is not adding up \n\nI calculated M(-3/6/3) \nPerpendicular vector n(1/1/-3)\n\nDid I approach this the wrong way? Why am I not getting the correct result?",
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},
{
"id": 1008813098263646200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 15:03:05",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1008813095826751500,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1008816589866549200,
"author_id": 403982696130281500,
"author_name": "Treeg0n",
"timestamp": "08/15/2022 15:16:57",
"content": "Use geometry to calculate the length AE, then solve the coordinates of E such that |A-E| =|B-E| =|C-E|=|D-E|= AE\nYou can square all that to use the Pythagorean theroem to calculate coordinate by coordinate @JuIian",
"attachments": [],
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}
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},
{
"id": 1008816965848150000,
"author_id": 403982696130281500,
"author_name": "Treeg0n",
"timestamp": "08/15/2022 15:18:27",
"content": "Salvation is in the euclidian space",
"attachments": [],
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"reference": null
},
{
"id": 1008816991617945600,
"author_id": 820928612336402400,
"author_name": "JuIian",
"timestamp": "08/15/2022 15:18:33",
"content": "I mean that sounds like a very intuitive solution and I can try it out later. \nBut rn I am wondering why my approach does not function? I normally never had a problem with such tasks",
"attachments": [],
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"reference": null
},
{
"id": 1008819224170475600,
"author_id": 403982696130281500,
"author_name": "Treeg0n",
"timestamp": "08/15/2022 15:27:25",
"content": "Your approach should work, maybe normalize your perpendicular vecor than multiply by 18@JuIian",
"attachments": [],
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"name": "JuIian",
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},
{
"id": 1008819573023314000,
"author_id": 820928612336402400,
"author_name": "JuIian",
"timestamp": "08/15/2022 15:28:49",
"content": "what do you mean with that exactly? I mean I got much bigger vector components but shortened it by dividing through 18, but that shouldnt be a problem right? \n\nI can already see that the solution doesnt work because 1/1/-3 has the length of sqrt(11) so Id add 18/sqrt(11) to the middle point, but the solution are even numbers....",
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},
{
"id": 1008822294723973100,
"author_id": 403982696130281500,
"author_name": "Treeg0n",
"timestamp": "08/15/2022 15:39:38",
"content": "I think you screwed M up",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008822411820552300,
"author_id": 820928612336402400,
"author_name": "JuIian",
"timestamp": "08/15/2022 15:40:05",
"content": "I just figured that out, you are right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008822436726317000,
"author_id": 820928612336402400,
"author_name": "JuIian",
"timestamp": "08/15/2022 15:40:11",
"content": "but sadly that is not a complete explanation",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008822477759185000,
"author_id": 820928612336402400,
"author_name": "JuIian",
"timestamp": "08/15/2022 15:40:21",
"content": "because the vector that needs to be added is still an uneven number :/",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008823618916077700,
"author_id": 403982696130281500,
"author_name": "Treeg0n",
"timestamp": "08/15/2022 15:44:53",
"content": "Check the vectorial product maybe?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008823682816282800,
"author_id": 820928612336402400,
"author_name": "JuIian",
"timestamp": "08/15/2022 15:45:09",
"content": "I already checked my calculations using online tools",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008823704400167000,
"author_id": 820928612336402400,
"author_name": "JuIian",
"timestamp": "08/15/2022 15:45:14",
"content": "so I am going insane rn",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008826573631258800,
"author_id": 820928612336402400,
"author_name": "JuIian",
"timestamp": "08/15/2022 15:56:38",
"content": "@Helpers plz",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008828331929653400,
"author_id": 820928612336402400,
"author_name": "JuIian",
"timestamp": "08/15/2022 16:03:37",
"content": "I might just have identified the error",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008831278973452300,
"author_id": 820928612336402400,
"author_name": "JuIian",
"timestamp": "08/15/2022 16:15:20",
"content": "Okay we can close it up, I just made 2 tiny errors which fucked everything up and now I spent my 2 last hours before exam on something that I am actually able to do normally",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008831286200250400,
"author_id": 820928612336402400,
"author_name": "JuIian",
"timestamp": "08/15/2022 16:15:21",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008831288330965000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 16:15:22",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
7efe587cb98540e59911e0cc1eb1fc55
|
197,859 |
[
{
"id": 959829736836706300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 11:00:42",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959830767469473800,
"author_id": 933356161464418300,
"author_name": "Snickerdoodle",
"timestamp": "04/02/2022 11:04:47",
"content": "",
"attachments": [
{
"id": 959830766953594900,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/959830766953594940/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 29913
}
],
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},
{
"id": 959830769453396000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 11:04:48",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 959830767469473800,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 959830782065643600,
"author_id": 933356161464418300,
"author_name": "Snickerdoodle",
"timestamp": "04/02/2022 11:04:51",
"content": "working on part 2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959830913770991600,
"author_id": 933356161464418300,
"author_name": "Snickerdoodle",
"timestamp": "04/02/2022 11:05:22",
"content": "the MS finds the time when the particle changes direction by making v = 0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959831019429703700,
"author_id": 933356161464418300,
"author_name": "Snickerdoodle",
"timestamp": "04/02/2022 11:05:47",
"content": "how do you know that its velocity is 0 when it changes direction",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959834794760499200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 11:20:47",
"content": "@Snickerdoodle Has your question been resolved?",
"attachments": [],
"mentions": [
{
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"name": "Snickerdoodle",
"discriminator": "7461",
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},
{
"id": 959835337667002500,
"author_id": 933356161464418300,
"author_name": "Snickerdoodle",
"timestamp": "04/02/2022 11:22:57",
"content": "https://tenor.com/view/lion-king-dramatic-oh-my-how-dare-they-gif-5552902",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959842888265662500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 11:52:57",
"content": "@Snickerdoodle Has your question been resolved?",
"attachments": [],
"mentions": [
{
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"name": "Snickerdoodle",
"discriminator": "7461",
"nickname": "Snickerdoodle",
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],
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},
{
"id": 959842973632315400,
"author_id": 933356161464418300,
"author_name": "Snickerdoodle",
"timestamp": "04/02/2022 11:53:17",
"content": "https://tenor.com/view/emoji-disintergrating-meme-emoji-disintegrating-meme-gif-21239978",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959851230081994800,
"author_id": 692654133785657300,
"author_name": "Alexander42",
"timestamp": "04/02/2022 12:26:06",
"content": "@Snickerdoodle The particle is moving on a line. So assume that the particle is moving to the right at the beginning. Now look at the last moment before the particle moves to the left. At his time, it can't move to the left, because it is before it moves to the left. But it also can't move to the right, because then it still would need some time to brake before it can start to move to the left. So the particle can't have any velocity at the moment before it starts to move to the left, which is just the moment when it changes direction.",
"attachments": [],
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}
],
"reference": null
},
{
"id": 959852032594940000,
"author_id": 933356161464418300,
"author_name": "Snickerdoodle",
"timestamp": "04/02/2022 12:29:17",
"content": "i understand but how do u know that, what if it does more of a U-turn motion",
"attachments": [],
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{
"id": 692654133785657300,
"name": "Alexander42",
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},
{
"id": 959852077641760800,
"author_id": 933356161464418300,
"author_name": "Snickerdoodle",
"timestamp": "04/02/2022 12:29:28",
"content": "then it never stops",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959852167005622300,
"author_id": 692654133785657300,
"author_name": "Alexander42",
"timestamp": "04/02/2022 12:29:49",
"content": "it travels on a straight line... How should a U-turn on a line look like?",
"attachments": [],
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"reference": null
},
{
"id": 959852280872591400,
"author_id": 933356161464418300,
"author_name": "Snickerdoodle",
"timestamp": "04/02/2022 12:30:16",
"content": "hmmmmmmmmmmmmmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959852400397656200,
"author_id": 933356161464418300,
"author_name": "Snickerdoodle",
"timestamp": "04/02/2022 12:30:45",
"content": "i see. mthe language is vague tho, \nthey said it started off in a line",
"attachments": [],
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},
{
"id": 959852583416135700,
"author_id": 933356161464418300,
"author_name": "Snickerdoodle",
"timestamp": "04/02/2022 12:31:29",
"content": "but i guess if there is no other way to solve it then you have to assume it stays on a straight line",
"attachments": [],
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},
{
"id": 959852618761523200,
"author_id": 933356161464418300,
"author_name": "Snickerdoodle",
"timestamp": "04/02/2022 12:31:37",
"content": "thanks for the help!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959852680006734000,
"author_id": 933356161464418300,
"author_name": "Snickerdoodle",
"timestamp": "04/02/2022 12:31:52",
"content": "!close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959852703381598300,
"author_id": 933356161464418300,
"author_name": "Snickerdoodle",
"timestamp": "04/02/2022 12:31:57",
"content": "eh...",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959852710788730900,
"author_id": 692654133785657300,
"author_name": "Alexander42",
"timestamp": "04/02/2022 12:31:59",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959852733031153800,
"author_id": 933356161464418300,
"author_name": "Snickerdoodle",
"timestamp": "04/02/2022 12:32:04",
"content": "ah thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959852740618649600,
"author_id": 933356161464418300,
"author_name": "Snickerdoodle",
"timestamp": "04/02/2022 12:32:06",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959852742250221600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/02/2022 12:32:06",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
b1b7f8335b584f449c8fc820c1bd7cac
|
197,860 |
[
{
"id": 1008831541113278600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 16:16:22",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008832705628229600,
"author_id": 334494062587674600,
"author_name": "Andrew_Amundrud",
"timestamp": "08/15/2022 16:21:00",
"content": "I am an artist working in video games. My problem is converting a 3d cartesian point into a 2D offset for a scrolling texture. I have looked at the conversion from cartesian to polar coordinates, but this doesn't work.",
"attachments": [],
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"reference": null
},
{
"id": 1008832708077691000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 16:21:00",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1008832705628229600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1008834095775764600,
"author_id": 334494062587674600,
"author_name": "Andrew_Amundrud",
"timestamp": "08/15/2022 16:26:31",
"content": "",
"attachments": [
{
"id": 1008834094647480300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1008834094647480380/2022-08-16_08-23-58-1.webm",
"fileName": "2022-08-16_08-23-58-1.webm",
"fileSizeBytes": 7583857
}
],
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},
{
"id": 1008834318476525700,
"author_id": 334494062587674600,
"author_name": "Andrew_Amundrud",
"timestamp": "08/15/2022 16:27:24",
"content": "My brain does not know how to approach this problem...",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008834594671444100,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/15/2022 16:28:30",
"content": "looks fine to me?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008834877241688000,
"author_id": 334494062587674600,
"author_name": "Andrew_Amundrud",
"timestamp": "08/15/2022 16:29:37",
"content": "I will be in afk",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008834986125832400,
"author_id": 334494062587674600,
"author_name": "Andrew_Amundrud",
"timestamp": "08/15/2022 16:30:03",
"content": "Ahh, how do I gain permission?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008835644644131000,
"author_id": 334494062587674600,
"author_name": "Andrew_Amundrud",
"timestamp": "08/15/2022 16:32:40",
"content": "It is mostly broken. The polar coordinate cycles between 90 and -90 and will cause the scrolling texture to reverse direction.",
"attachments": [],
"mentions": [
{
"id": 764959481070616600,
"name": "Toby",
"discriminator": "2275",
"nickname": "Toby",
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}
],
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},
{
"id": 1008836095007526900,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/15/2022 16:34:28",
"content": "you're gonna have to be more detailed than that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008836217024032800,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/15/2022 16:34:57",
"content": "as someone who doesnt know how to use unity(?), it just looks like you are controlling the numbers using your mouse",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008837241214353500,
"author_id": 334494062587674600,
"author_name": "Andrew_Amundrud",
"timestamp": "08/15/2022 16:39:01",
"content": "The skybox is custom made to account for the curvature of the planet. As such, it rotates around a central pivot based on the cameras position on the planets surface. The sky is always working to give the impression that it is stationary with regards to the camera. Part of this illusion is that the skybox texture - which is a 2D texture, needs to scroll in a 2D direction in response to the rotation of the skybox (sphere) in 3D space.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008837695889473500,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/15/2022 16:40:49",
"content": "so you want the sky to rotate at the same speed as the ground...?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008837847358394400,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/15/2022 16:41:26",
"content": "if its going the wrong way, surely just stick a negative sign somewhere and see what happens",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008838086043652100,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/15/2022 16:42:23",
"content": "https://en.wikipedia.org/wiki/Spherical_coordinate_system#Cartesian_coordinates",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008839882434674700,
"author_id": 334494062587674600,
"author_name": "Andrew_Amundrud",
"timestamp": "08/15/2022 16:49:31",
"content": "Is there any way I can describe this with a screen share?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008840279811424400,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/15/2022 16:51:06",
"content": "i cant join vc rn",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008840468227961000,
"author_id": 334494062587674600,
"author_name": "Andrew_Amundrud",
"timestamp": "08/15/2022 16:51:50",
"content": "I just need permission.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008840704425996300,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/15/2022 16:52:47",
"content": "you are in the afk channel, you should go to a normal one and see if it works",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008841114519867400,
"author_id": 573905759134548000,
"author_name": "Nonna",
"timestamp": "08/15/2022 16:54:25",
"content": "I think to stream you need the streamer role?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008841836594479100,
"author_id": 334494062587674600,
"author_name": "Andrew_Amundrud",
"timestamp": "08/15/2022 16:57:17",
"content": "I have no sound for some reason",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008845612663447600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 17:12:17",
"content": "@Andrew_Amundrud Has your question been resolved?",
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"content": "@Andrew_Amundrud Has your question been resolved?",
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help-9
|
3ee2ac8e06c34ff5963e06919876d079
|
197,861 |
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"content": "Greetings. Could you tell me where have I potentially messed up (the task was to find the indefinite integral)? Specifically the b-a²<0 case, for the textbook only gives the inverse hyperbolic tangent option, without the cotangent.",
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"content": "just here to say your handwriting is top tier",
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"timestamp": "08/15/2022 17:57:26",
"content": "Thanks!",
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"content": "i don't see anything wrong. i think the book just didn't take that case into consideration",
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"content": "By the way, just in case such a question arises, I do know that the “trivial case” could be easily included into the b-a²=0 case, yet it only crossed my mind in the middle of writing the solution, and it also seemed somewhat more illustrative of the example.",
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"timestamp": "08/15/2022 18:01:33",
"content": "actually maybe you do have a mistake here",
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"timestamp": "08/15/2022 18:01:50",
"content": "$(\\sqrt{a^2 - b})^2 = |a^2 - b|$",
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"timestamp": "08/15/2022 18:02:04",
"content": "**riemann**",
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"timestamp": "08/15/2022 18:02:24",
"content": "ah shit no you had it right. i'll shut up",
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"timestamp": "08/15/2022 18:02:27",
"content": "I do not remember taking square roots anywhere. Besides, I defined a² to be greater than b.",
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"timestamp": "08/15/2022 18:03:06",
"content": "That’s OK.",
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"timestamp": "08/15/2022 18:03:28",
"content": "Perhaps someone else would try?….",
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"id": 1008859409641902200,
"author_id": 261933205387477000,
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"timestamp": "08/15/2022 18:07:06",
"content": ",w differentiate arctanh(x/a)",
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"timestamp": "08/15/2022 18:07:14",
"content": "Results provided by WolframAlpha",
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"timestamp": "08/15/2022 18:07:16",
"content": ",w differentiate arcoth(x/a)",
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"content": "Results provided by WolframAlpha",
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"timestamp": "08/15/2022 18:07:37",
"content": ":thinkies: so they're the same up to a constant?",
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"timestamp": "08/15/2022 18:07:46",
"content": "The derivatives are the same, it is just that the domains differ.",
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"timestamp": "08/15/2022 18:08:12",
"content": "It is quite surprising, actually.",
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"timestamp": "08/15/2022 18:09:41",
"content": "are these swapped?",
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"timestamp": "08/15/2022 18:10:25",
"content": "No, they are not. If you look at the formula following the one you have just sent, the artanh and arcoth still correspond to one another.",
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"timestamp": "08/15/2022 18:10:38",
"content": "oh i'm blind",
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"timestamp": "08/15/2022 18:11:19",
"content": "I simply made the inverse substitution and also solved the inequalities in the left-hand sides of the formulæ.",
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"timestamp": "08/15/2022 18:11:26",
"content": "yea i'm gonna say your answer is more complete than the solution's",
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"timestamp": "08/15/2022 18:12:23",
"content": "unless they meant the complex tanh(z) in eqn (1) here\nhttps://mathworld.wolfram.com/InverseHyperbolicTangent.html",
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"timestamp": "08/15/2022 18:13:00",
"content": "What is even more surprising is that the textbook actually takes notice of the fact that the integral of 1/(1-x²) can be represented in two different ways depending upon the domain of definition of the integrand, and yet ignores the fact when it comes up in the problems.",
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"timestamp": "08/15/2022 18:13:41",
"content": "Not an offense against the textbook, though. It is miraculous.",
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"timestamp": "08/15/2022 18:13:52",
"content": "yea there _might_ be a way to reconcile this with complex logarithms",
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"timestamp": "08/15/2022 18:14:22",
"content": "but i don't think it's anything you need to worry about. your answer is complete",
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"timestamp": "08/15/2022 18:14:28",
"content": "No, it am still too far from that 😂",
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"timestamp": "08/15/2022 18:14:50",
"content": "I guess and hope you are right. Thank you.",
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"timestamp": "08/15/2022 18:15:33",
"content": ".close",
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] |
help-9
|
c42bae60905b4029ab356e7b37338900
|
197,862 |
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"content": "Pinned a message.",
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"timestamp": "08/15/2022 18:55:16",
"content": "how do i take a wronskian of the matricies?",
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"content": "https://tutorial.math.lamar.edu/classes/de/wronskian.aspx",
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"content": "@potato.farmer Has your question been resolved?",
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help-9
|
ab8faf4798484b5b9381cdbad8518b76
|
197,863 |
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{
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"author_id": 217686845394386940,
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"content": "Having trouble showing that the least upper bound principle implies the axiom of completeness",
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"timestamp": "08/15/2022 19:37:45",
"content": "here are the definitions",
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"content": "Least upper bound principle: Every nonempty set of real numbers that is bounded from above has a unique least upper bound",
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"id": 1008882527827665000,
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"content": "Axiom of completeness: If X, Y are nonempty subsets of R having the property that x<=y for every x in X and y in Y then there exists a real number c such that x<=c<=y for all x, y",
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"id": 1008882652788568000,
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"timestamp": "08/15/2022 19:39:28",
"content": "I started by supposing that the least upper bound principle holds",
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"id": 1008882816882311200,
"author_id": 217686845394386940,
"author_name": "jswatj",
"timestamp": "08/15/2022 19:40:07",
"content": "then suppose that X, Y are nonempty subsets of R such that x<=y for all x in X and y in Y.",
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"id": 1008882982058201100,
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"timestamp": "08/15/2022 19:40:47",
"content": "Since X is nonempty and X is bounded above by y, then it follows by the least upper bound principle that there exists a sup(X)=c",
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"timestamp": "08/15/2022 19:40:54",
"content": "not sure where to go from here though 😦",
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"timestamp": "08/15/2022 19:41:07",
"content": "also that x<=c for all x in X",
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"timestamp": "08/15/2022 19:46:12",
"content": "actually i think i figured it out",
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"author_id": 530781099995955200,
"author_name": "Danajax",
"timestamp": "08/15/2022 19:46:31",
"content": "the least upper bound is called a supremum",
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"timestamp": "08/15/2022 19:46:33",
"content": "pro. this is a hard proof",
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"timestamp": "08/15/2022 19:46:49",
"content": "I know",
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"content": "actually?",
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"timestamp": "08/15/2022 19:48:03",
"content": "i was gonna say since Y is bounded below by any x in X can we not just choose c? So then c<=y and it follows that x<=c<=y",
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"timestamp": "08/15/2022 19:48:14",
"content": "since c is an element of X",
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"timestamp": "08/15/2022 19:49:03",
"content": "https://math.stackexchange.com/questions/2112478/prove-that-the-completeness-axiom-follows-from-the-least-upper-bound-principle",
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"timestamp": "08/15/2022 19:49:49",
"content": "ohhh",
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"author_name": "Danajax",
"timestamp": "08/15/2022 19:50:06",
"content": "yh it's very well presented in this link",
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"author_name": "jswatj",
"timestamp": "08/15/2022 19:53:00",
"content": "wait",
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},
{
"id": 1008886155447632000,
"author_id": 217686845394386940,
"author_name": "jswatj",
"timestamp": "08/15/2022 19:53:23",
"content": "how do we know that if we choose some $y_0\\in Y$ such that $y_0\\leq c$ then $x\\leq y_0$?",
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"id": 1008886166659014800,
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"author_name": "TeXit",
"timestamp": "08/15/2022 19:53:26",
"content": "**jswatj**",
"attachments": [
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"timestamp": "08/15/2022 19:53:47",
"content": "or is that because $x\\leq c$ so since $y_0\\leq c$ then $x\\leq y_0$",
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"timestamp": "08/15/2022 19:53:49",
"content": "**jswatj**",
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"timestamp": "08/15/2022 19:54:43",
"content": "I'm not sure if those arguments holds",
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"timestamp": "08/15/2022 19:55:03",
"content": "",
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"timestamp": "08/15/2022 19:55:08",
"content": "how did they argue this then?",
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"content": "",
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"timestamp": "08/15/2022 19:56:48",
"content": "yes that is trivial",
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"timestamp": "08/15/2022 19:57:07",
"content": "i know that",
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},
{
"id": 1008887113795780600,
"author_id": 217686845394386940,
"author_name": "jswatj",
"timestamp": "08/15/2022 19:57:12",
"content": "im talking about this",
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{
"id": 1008887187766530000,
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"author_name": "jswatj",
"timestamp": "08/15/2022 19:57:29",
"content": "i don't understand how they formed that chain of inequalities",
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},
{
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"timestamp": "08/15/2022 19:57:42",
"content": "OHHHH",
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{
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"author_id": 217686845394386940,
"author_name": "jswatj",
"timestamp": "08/15/2022 19:57:44",
"content": "holy",
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},
{
"id": 1008887287154753500,
"author_id": 217686845394386940,
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"timestamp": "08/15/2022 19:57:53",
"content": "thats so smart",
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},
{
"id": 1008887299850911900,
"author_id": 217686845394386940,
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"timestamp": "08/15/2022 19:57:56",
"content": "since y_0 is in Y",
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"timestamp": "08/15/2022 19:57:59",
"content": "then x<=y_0",
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"timestamp": "08/15/2022 19:58:05",
"content": "by our assumption",
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"timestamp": "08/15/2022 19:58:08",
"content": "yes exactly",
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"timestamp": "08/15/2022 19:58:16",
"content": "",
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"author_name": "jswatj",
"timestamp": "08/15/2022 19:58:17",
"content": "thank you so much",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008887421980655600,
"author_id": 217686845394386940,
"author_name": "jswatj",
"timestamp": "08/15/2022 19:58:25",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008887423612231800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 19:58:26",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
db1a8932344b4273a5043f350f8545e8
|
197,864 |
[
{
"id": 1008887677170495600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 19:59:26",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008890076530479200,
"author_id": 259066073389727740,
"author_name": "Brandon.",
"timestamp": "08/15/2022 20:08:58",
"content": "How do I determine if something is a function based on its relation?",
"attachments": [],
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"reference": null
},
{
"id": 1008890078598271000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 20:08:59",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
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"guildId": null
}
},
{
"id": 1008890850601873500,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "08/15/2022 20:12:03",
"content": "if each x value has one y value, it is a function",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008891091489128600,
"author_id": 259066073389727740,
"author_name": "Brandon.",
"timestamp": "08/15/2022 20:13:00",
"content": "@Kihei this would be a function then",
"attachments": [],
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},
{
"id": 1008891143448174700,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "08/15/2022 20:13:12",
"content": "yup!",
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},
{
"id": 1008891167934525600,
"author_id": 259066073389727740,
"author_name": "Brandon.",
"timestamp": "08/15/2022 20:13:18",
"content": "Can I try another with you?",
"attachments": [],
"mentions": [],
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},
{
"id": 1008891198150291600,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "08/15/2022 20:13:25",
"content": "sure",
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},
{
"id": 1008891781225648300,
"author_id": 259066073389727740,
"author_name": "Brandon.",
"timestamp": "08/15/2022 20:15:44",
"content": "the problem on the right isn’t a function",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008891820819886200,
"author_id": 259066073389727740,
"author_name": "Brandon.",
"timestamp": "08/15/2022 20:15:54",
"content": "but the one on the left is one?",
"attachments": [],
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"reference": null
},
{
"id": 1008891860481216800,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "08/15/2022 20:16:03",
"content": "nope, both of them are functions",
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},
{
"id": 1008892009693577300,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "08/15/2022 20:16:39",
"content": "here’s the thing with the right one: even though there are 2 x values having one y value, it still fits the definition of a function",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008892083240718500,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "08/15/2022 20:16:56",
"content": "that each x value has one y value",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008892175838359600,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "08/15/2022 20:17:19",
"content": "for example, if -6 pointed to 2 different y values, it wouldn’t be a function",
"attachments": [],
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"reference": null
},
{
"id": 1008892260424884200,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "08/15/2022 20:17:39",
"content": "yes",
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},
{
"id": 1008892636280655900,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "08/15/2022 20:19:08",
"content": "are you asking what it is?",
"attachments": [],
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},
{
"id": 1008893000912470000,
"author_id": 259066073389727740,
"author_name": "Brandon.",
"timestamp": "08/15/2022 20:20:35",
"content": "yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008893878411214800,
"author_id": 259066073389727740,
"author_name": "Brandon.",
"timestamp": "08/15/2022 20:24:04",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1008893880265085000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/15/2022 20:24:05",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
3a7429a41233403ca29a7337df050ae2
|
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