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198,165 |
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"id": 1014803779868168200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 03:47:55",
"content": "Available help channel!",
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{
"id": 1014816270258028700,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 04:37:33",
"content": "how get this",
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{
"id": 1014816272833323000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 04:37:33",
"content": "Pinned a message.",
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"timestamp": "09/01/2022 04:37:34",
"content": "",
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"id": 1014816333667516400,
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"author_name": "cl13",
"timestamp": "09/01/2022 04:37:48",
"content": "i am getting 3+(4/x+2)",
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{
"id": 1014816398255595600,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 04:38:03",
"content": "the answers are getting something else",
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{
"id": 1014818907548303400,
"author_id": 246589435464908800,
"author_name": "Rαιη",
"timestamp": "09/01/2022 04:48:01",
"content": "are you solving for x, or are you graphing",
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"id": 1014819429596545000,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 04:50:06",
"content": "im about to integrate it",
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"id": 1014819510970232800,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 04:50:25",
"content": "@Rαιη",
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"id": 1014819637428494300,
"author_id": 246589435464908800,
"author_name": "Rαιη",
"timestamp": "09/01/2022 04:50:56",
"content": "Excuse the f*k me?",
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{
"id": 1014819877753716700,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 04:51:53",
"content": "what",
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},
{
"id": 1014819941368737800,
"author_id": 246589435464908800,
"author_name": "Rαιη",
"timestamp": "09/01/2022 04:52:08",
"content": "so you want to integrate the right side",
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},
{
"id": 1014819974910574600,
"author_id": 246589435464908800,
"author_name": "Rαιη",
"timestamp": "09/01/2022 04:52:16",
"content": "just integrate each term separately",
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},
{
"id": 1014820007961690100,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 04:52:24",
"content": "i want to integrate the left side and in the answers they integrate whats on the right side",
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},
{
"id": 1014820030262820900,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 04:52:29",
"content": "i dont know how to get to the right side",
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{
"id": 1014820061518778400,
"author_id": 246589435464908800,
"author_name": "Rαιη",
"timestamp": "09/01/2022 04:52:37",
"content": "RHS is just polynomial division",
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"id": 1014820106871787500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/01/2022 04:52:47",
"content": ":this:",
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{
"id": 1014820118129295400,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 04:52:50",
"content": "i did polynomial division and got a different answer",
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{
"id": 1014820138983370800,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 04:52:55",
"content": "i got 3+(4/x+2)",
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},
{
"id": 1014820221040726000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/01/2022 04:53:15",
"content": "show your working?",
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{
"id": 1014820259712204800,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 04:53:24",
"content": "ok 1 min",
"attachments": [],
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{
"id": 1014820589149618200,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 04:54:42",
"content": "",
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"id": 1014820709844918300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/01/2022 04:55:11",
"content": "how does it become 4",
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{
"id": 1014820726483730400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/01/2022 04:55:15",
"content": "on the last line",
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{
"id": 1014820740459147300,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 04:55:18",
"content": "thats the remainder right",
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{
"id": 1014820763372617700,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 04:55:24",
"content": "6+-2=4",
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},
{
"id": 1014820768049274900,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/01/2022 04:55:25",
"content": "but why is it 4",
"attachments": [],
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},
{
"id": 1014820799070351400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/01/2022 04:55:32",
"content": "why are we adding",
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{
"id": 1014820842514948100,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 04:55:43",
"content": "is it supposed to be 6--2",
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{
"id": 1014820858176475300,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 04:55:47",
"content": "so 6+2?",
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{
"id": 1014820928129093600,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 04:56:03",
"content": "ok",
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{
"id": 1014820942305841200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/01/2022 04:56:07",
"content": "uh",
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},
{
"id": 1014820948639232000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/01/2022 04:56:08",
"content": "no",
"attachments": [],
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{
"id": 1014820956562276400,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 04:56:10",
"content": "what",
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},
{
"id": 1014820974643925000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/01/2022 04:56:14",
"content": "it's -2 -6",
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{
"id": 1014821035868168200,
"author_id": 246589435464908800,
"author_name": "Rαιη",
"timestamp": "09/01/2022 04:56:29",
"content": "remember to \"take away\" the stuff",
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{
"id": 1014821043757662200,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 04:56:31",
"content": "the youtube video i followed did 6-2",
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{
"id": 1014821052599259300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/01/2022 04:56:33",
"content": "we subtract in polynomial division",
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{
"id": 1014821084983480300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/01/2022 04:56:41",
"content": "that's how you get rid of the 3x",
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{
"id": 1014821085583253500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/01/2022 04:56:41",
"content": "it's (3x-2)-(3x+6)",
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{
"id": 1014821121410994200,
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"author_name": "夢雪",
"timestamp": "09/01/2022 04:56:49",
"content": ":this:",
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"timestamp": "09/01/2022 04:56:50",
"content": "",
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"id": 1014821137743630500,
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"author_name": "cl13",
"timestamp": "09/01/2022 04:56:53",
"content": "this is in the video",
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"id": 1014821167518978200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/01/2022 04:57:00",
"content": "-2-(-6)",
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{
"id": 1014821225773674500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/01/2022 04:57:14",
"content": "wait wtf",
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{
"id": 1014821248888479900,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 04:57:20",
"content": "video is wrong?",
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"id": 1014821285903208400,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 04:57:29",
"content": "really throwing me off",
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{
"id": 1014821326713802800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/01/2022 04:57:38",
"content": "that is kinda not how it's done usually",
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{
"id": 1014821332057337900,
"author_id": 246589435464908800,
"author_name": "Rαιη",
"timestamp": "09/01/2022 04:57:40",
"content": "ur multiplying by the wrong thing",
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"id": 1014821374273007700,
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"author_name": "cl13",
"timestamp": "09/01/2022 04:57:50",
"content": "this isnt my working",
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"id": 1014821399463989400,
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"author_name": "cl13",
"timestamp": "09/01/2022 04:57:56",
"content": "that image is the video i was following",
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"id": 1014821436633907200,
"author_id": 246589435464908800,
"author_name": "Rαιη",
"timestamp": "09/01/2022 04:58:04",
"content": "ah",
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"id": 1014821493995225100,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/01/2022 04:58:18",
"content": "usually you multiply 3 by x+2 and subtract it",
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{
"id": 1014821636693839900,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 04:58:52",
"content": "so (3x-2)-(3x+6)",
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"id": 1014821660999815200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/01/2022 04:58:58",
"content": "i think he did 3(x+2) = 3x+6 and -(3x+6) to -3x-6",
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"id": 1014821696852738000,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 04:59:07",
"content": "so its just -8?",
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"id": 1014821763131121700,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/01/2022 04:59:22",
"content": "you can confirm the answer by (3x - 2)/(x + 2) = (3x + 6 - 8)/(x + 2) = 3 - 8/(x + 2)",
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"id": 1014822206754259000,
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"author_name": "cl13",
"timestamp": "09/01/2022 05:01:08",
"content": "ok i understand it now",
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"id": 1014822393635676200,
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"author_name": "cl13",
"timestamp": "09/01/2022 05:01:53",
"content": "3x-8ln|x+2|",
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"id": 1014822416725315700,
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"author_name": "cl13",
"timestamp": "09/01/2022 05:01:58",
"content": "yipee",
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"id": 1014822536267169800,
"author_id": 898569310904127500,
"author_name": "cl13",
"timestamp": "09/01/2022 05:02:27",
"content": ".close",
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{
"id": 1014822538997678200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 05:02:27",
"content": "Channel closed",
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}
] |
help-9
|
1cec2d2f082b4856b72c2ebeb18a2fa1
|
198,166 |
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"timestamp": "09/01/2022 05:03:27",
"content": "Available help channel!",
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},
{
"id": 1014824109613523000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 05:08:42",
"content": "Pinned a message.",
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{
"id": 1014824117398155300,
"author_id": 692931385077268600,
"author_name": "🤍 🤍",
"timestamp": "09/01/2022 05:08:44",
"content": "Did I do part b correct ?",
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},
{
"id": 1014826532713267200,
"author_id": 692931385077268600,
"author_name": "🤍 🤍",
"timestamp": "09/01/2022 05:18:19",
"content": "@Helpers",
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},
{
"id": 1014830308593504300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 05:33:20",
"content": "@🤍 🤍 Has your question been resolved?",
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"timestamp": "09/01/2022 05:37:40",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
77db16f59c4f4054a5c9d531b685c4d7
|
198,167 |
[
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"timestamp": "09/01/2022 06:09:53",
"content": "Available help channel!",
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},
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"id": 1014840408611762200,
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"timestamp": "09/01/2022 06:13:28",
"content": "Pinned a message.",
"attachments": [],
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"id": 1014840467365564500,
"author_id": 654361267103858700,
"author_name": "imizu",
"timestamp": "09/01/2022 06:13:42",
"content": "Hi, anyone knows how to do 11",
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},
{
"id": 1014842143631749100,
"author_id": 1014413414904365200,
"author_name": "srbh901",
"timestamp": "09/01/2022 06:20:21",
"content": "No force is acting horizontally so horizontal distance travelled by it would be v.t and vertically on gravity is acting -- y= gt^2/2 ..",
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"id": 1014843561746890800,
"author_id": 654361267103858700,
"author_name": "imizu",
"timestamp": "09/01/2022 06:26:00",
"content": "I see",
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},
{
"id": 1014843605317320700,
"author_id": 654361267103858700,
"author_name": "imizu",
"timestamp": "09/01/2022 06:26:10",
"content": "Gotcha",
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},
{
"id": 1014843625164771300,
"author_id": 654361267103858700,
"author_name": "imizu",
"timestamp": "09/01/2022 06:26:15",
"content": "Thanks",
"attachments": [],
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},
{
"id": 1014843639916150900,
"author_id": 654361267103858700,
"author_name": "imizu",
"timestamp": "09/01/2022 06:26:18",
"content": ".close",
"attachments": [],
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},
{
"id": 1014843642730533000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 06:26:19",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
a579989ec0f24ddb8ac50328cb2644f6
|
198,168 |
[
{
"id": 1014856661174865900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 07:18:03",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1014859540380012700,
"author_id": 311833206423027700,
"author_name": "ByteLaw",
"timestamp": "09/01/2022 07:29:29",
"content": "Little question:\nI know that if 2 tangents to a circle originate from the same point they are equal to each other, but does it go the opposite way such that there are 2 straight lines that originate from the same point and are equal to each other, so if one is a tangent to the circle the other is also a tangent?",
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"id": 1014859543362158600,
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"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 07:29:30",
"content": "Pinned a message.",
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{
"id": 1014859756051124400,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/01/2022 07:30:21",
"content": "uve to be a bit more specific",
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"reference": null
},
{
"id": 1014859831959617500,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/01/2022 07:30:39",
"content": "but if u mean that they both touch the circumfurance of the circle, yes",
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},
{
"id": 1014859851307950200,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/01/2022 07:30:43",
"content": "cant spell lol",
"attachments": [],
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},
{
"id": 1014859862859067400,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/01/2022 07:30:46",
"content": "else u can get like",
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"reference": null
},
{
"id": 1014860006836932700,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "09/01/2022 07:31:20",
"content": "Not in this case",
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"id": 1014860217944657900,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/01/2022 07:32:11",
"content": "",
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"id": 1014860233333555200,
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"author_name": "Circle",
"timestamp": "09/01/2022 07:32:14",
"content": "yea idk why i took so long to send",
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},
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"id": 1014860902085951500,
"author_id": 311833206423027700,
"author_name": "ByteLaw",
"timestamp": "09/01/2022 07:34:54",
"content": "alright thanks",
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},
{
"id": 1014861131111731300,
"author_id": 311833206423027700,
"author_name": "ByteLaw",
"timestamp": "09/01/2022 07:35:48",
"content": ".close",
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},
{
"id": 1014861133506691100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 07:35:49",
"content": "Channel closed",
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}
] |
help-9
|
a87a27d8a69b4956b47896e8b1db0dde
|
198,169 |
[
{
"id": 1014862069583057000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 07:39:32",
"content": "Available help channel!",
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},
{
"id": 1014864797654847600,
"author_id": 623569094880264200,
"author_name": "-21°",
"timestamp": "09/01/2022 07:50:23",
"content": "How to solve this equation?",
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"id": 1014864801270333600,
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"timestamp": "09/01/2022 07:50:23",
"content": "Pinned a message.",
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"id": 1014864880173584500,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/01/2022 07:50:42",
"content": "sry can u type it out",
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},
{
"id": 1014864891254943700,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/01/2022 07:50:45",
"content": "i cant read :c",
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},
{
"id": 1014865001787424800,
"author_id": 623569094880264200,
"author_name": "-21°",
"timestamp": "09/01/2022 07:51:11",
"content": "2tgX + ctgX - 3 = 0",
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},
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"id": 1014865202115780600,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/01/2022 07:51:59",
"content": "ok so what are u solving for? X?",
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},
{
"id": 1014865237750595700,
"author_id": 623569094880264200,
"author_name": "-21°",
"timestamp": "09/01/2022 07:52:07",
"content": "Yes X",
"attachments": [],
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"reference": null
},
{
"id": 1014865346223669400,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/01/2022 07:52:33",
"content": "u first move all constants to the right side",
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},
{
"id": 1014865365706223700,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/01/2022 07:52:38",
"content": "aka those not dependent on X",
"attachments": [],
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"reference": null
},
{
"id": 1014865430940233700,
"author_id": 852470857569402900,
"author_name": "Teek0505",
"timestamp": "09/01/2022 07:52:54",
"content": "tgx=tanx and ctg=cotx?",
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},
{
"id": 1014865449084801000,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/01/2022 07:52:58",
"content": "then factorise out x and divide both sides by the thing u got",
"attachments": [],
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},
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"id": 1014865461235699700,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/01/2022 07:53:01",
"content": "oh what",
"attachments": [],
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"reference": null
},
{
"id": 1014865481196384400,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/01/2022 07:53:06",
"content": "are those not variables",
"attachments": [],
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},
{
"id": 1014865494177747000,
"author_id": 623569094880264200,
"author_name": "-21°",
"timestamp": "09/01/2022 07:53:09",
"content": "Yes",
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"id": 1014865513752580200,
"author_id": 852470857569402900,
"author_name": "Teek0505",
"timestamp": "09/01/2022 07:53:13",
"content": "I don't think so lol",
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"nickname": "💕Spirit Immortal Layer 8",
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}
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},
{
"id": 1014865524846506100,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/01/2022 07:53:16",
"content": "first time seeing that :c mb",
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},
{
"id": 1014865568035242000,
"author_id": 852470857569402900,
"author_name": "Teek0505",
"timestamp": "09/01/2022 07:53:26",
"content": "I've seen it once before lol",
"attachments": [],
"mentions": [],
"reference": null
},
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"id": 1014865637987860500,
"author_id": 852470857569402900,
"author_name": "Teek0505",
"timestamp": "09/01/2022 07:53:43",
"content": "Just do cotx=1/tanx and solve the quadratic equation formed",
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"id": 1014865753964564600,
"author_id": 623569094880264200,
"author_name": "-21°",
"timestamp": "09/01/2022 07:54:11",
"content": "OH!",
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},
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"id": 1014865760063066100,
"author_id": 623569094880264200,
"author_name": "-21°",
"timestamp": "09/01/2022 07:54:12",
"content": "Thx",
"attachments": [],
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},
{
"id": 1014869536111079600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 08:09:12",
"content": "@-21° Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 08:09:17",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
d0fffb62f3d643ff8c446e1c704715e6
|
198,170 |
[
{
"id": 960345234343080100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/03/2022 21:09:06",
"content": "Available help channel!",
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"mentions": [],
"reference": null
},
{
"id": 960347403855216600,
"author_id": 154996785960452100,
"author_name": "sirez",
"timestamp": "04/03/2022 21:17:43",
"content": "",
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"id": 960347405696512100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/03/2022 21:17:43",
"content": "Pinned a message.",
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{
"id": 960347649410748500,
"author_id": 553412283561148400,
"author_name": "Elise",
"timestamp": "04/03/2022 21:18:42",
"content": "what exactly do u need help with?",
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},
{
"id": 960347862930178200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/03/2022 21:19:32",
"content": "What is your question",
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"id": 960348069273161700,
"author_id": 154996785960452100,
"author_name": "sirez",
"timestamp": "04/03/2022 21:20:22",
"content": "thats my question and i am getting -1/3. thats fine because i know it equals to X but i am confused with the -1/3 x-1 bit and the remainder",
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},
{
"id": 960348531456114800,
"author_id": 154996785960452100,
"author_name": "sirez",
"timestamp": "04/03/2022 21:22:12",
"content": "i did the math and my final answer is 2x-1/3 Remainder : 34/3",
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},
{
"id": 960348546874351700,
"author_id": 154996785960452100,
"author_name": "sirez",
"timestamp": "04/03/2022 21:22:15",
"content": "is that correct?",
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},
{
"id": 960348627082047600,
"author_id": 154996785960452100,
"author_name": "sirez",
"timestamp": "04/03/2022 21:22:35",
"content": "do i have to simplify further when entering the problem as the remainder theorem?",
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},
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"id": 960352403197141000,
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"timestamp": "04/03/2022 21:37:35",
"content": "@sirez Has your question been resolved?",
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"id": 960352728616427500,
"author_id": 553412283561148400,
"author_name": "Elise",
"timestamp": "04/03/2022 21:38:52",
"content": "this looks about right",
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"id": 960354697405927400,
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"author_name": "sirez",
"timestamp": "04/03/2022 21:46:42",
"content": "thank you @Elise",
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"timestamp": "04/03/2022 21:46:43",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
b3eb78f51ef7421e91b1a01427261c2a
|
198,171 |
[
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 08:10:18",
"content": "Available help channel!",
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},
{
"id": 1014870443020263400,
"author_id": 617052584196177900,
"author_name": "magima",
"timestamp": "09/01/2022 08:12:48",
"content": "Hello! I have a question. I don’t get how they go from the first line to the second:",
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"timestamp": "09/01/2022 08:12:49",
"content": "Pinned a message.",
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{
"id": 1014870573542801500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/01/2022 08:13:20",
"content": "**magima**",
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"id": 1014870698331746400,
"author_id": 617052584196177900,
"author_name": "magima",
"timestamp": "09/01/2022 08:13:49",
"content": "Disappears*",
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},
{
"id": 1014871798816460800,
"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "09/01/2022 08:18:12",
"content": "Because the subscript j after the parens on the first line means: take the jth component of what's inside the parens. But in the parens it's just a constant times a_n, so you're just taking the j-th component of a_n, which is delta_jn (times the same constant).",
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},
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"id": 1014872364770656400,
"author_id": 388548208697278460,
"author_name": "daveamayombo",
"timestamp": "09/01/2022 08:20:27",
"content": "Then it's just the usual rule for contracting with $\\delta_{jn}$... It turns $e_{lmn}$ into $e_{lmj}$.",
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},
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"id": 1014872538691686400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/01/2022 08:21:08",
"content": "**daveamayombo**",
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"timestamp": "09/01/2022 08:28:50",
"content": "@magima Has your question been resolved?",
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"timestamp": "09/01/2022 08:43:50",
"content": "Channel closed",
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}
] |
help-9
|
b78a41fa7cd7432693d04008093b1de9
|
198,172 |
[
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"timestamp": "09/01/2022 08:44:50",
"content": "Available help channel!",
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},
{
"id": 1014878885055316100,
"author_id": 617052584196177900,
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"timestamp": "09/01/2022 08:46:21",
"content": "You’re the best 👌",
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] |
help-9
|
3edadf8221d8430ab87f11e518739b36
|
198,173 |
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"author_id": 388548208697278460,
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"timestamp": "09/01/2022 08:48:37",
"content": "👍",
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"content": "Available help channel!",
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},
{
"id": 1014895118429475000,
"author_id": 186483831547756540,
"author_name": "IsaacS",
"timestamp": "09/01/2022 09:50:52",
"content": "Hello, I don't understand how this expectation calculation works. It's for the random process X(t)=a*cos(2*pi*f*t+theta) where theta is a uniform random variable on (0,2*pi). I thought you could always bring the expectation inside a function. Why isn't the expectation being calculated as integral of theta*X(t)?",
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"timestamp": "09/01/2022 09:57:37",
"content": "nvm I figured it out. just had to use the definition of expectation",
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] |
help-9
|
8e326d51cf0f49e99fbdbe2d9da70827
|
198,174 |
[
{
"id": 1014897551096418300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/01/2022 10:00:32",
"content": "you cannot always bring the expectation inside a function?",
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"id": 1014897594901725300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/01/2022 10:00:42",
"content": "it almost never works?",
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},
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"id": 1014913814094938200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 11:05:09",
"content": "Available help channel!",
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},
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"id": 1014913891312087200,
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"content": "Pinned a message.",
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"timestamp": "09/01/2022 11:05:30",
"content": ",rotate",
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},
{
"id": 1014913904440262700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/01/2022 11:05:31",
"content": "",
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"id": 1014913927710257200,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "09/01/2022 11:05:36",
"content": "What did I do wrong here?",
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},
{
"id": 1014913968818630800,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "09/01/2022 11:05:46",
"content": "The answers isn't correct it seems like",
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},
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"id": 1014914368443523100,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "09/01/2022 11:07:21",
"content": "you are multiplying the second row by 1/3, 3 times 1/3 is 1, not 0",
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"id": 1014915659764859000,
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"author_name": "sure",
"timestamp": "09/01/2022 11:12:29",
"content": "Oh ye",
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"id": 1014915689011744800,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "09/01/2022 11:12:36",
"content": "Ima try again",
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"id": 1014916312818004100,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "09/01/2022 11:15:05",
"content": "What can I do to get 0 bottom left? @waler",
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"id": 1014916458939154400,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "09/01/2022 11:15:40",
"content": "note that there is a 1 on the top row",
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"timestamp": "09/01/2022 11:15:45",
"content": "why not subtract from that?",
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"id": 1014918896454729900,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "09/01/2022 11:25:21",
"content": "How",
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},
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"author_name": "sure",
"timestamp": "09/01/2022 11:25:46",
"content": "",
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"id": 1014919022178996400,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "09/01/2022 11:25:51",
"content": "I restarted and got that",
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},
{
"id": 1014919068140191900,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "09/01/2022 11:26:02",
"content": "But seems to be wrong",
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"id": 1014919640125820900,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "09/01/2022 11:28:18",
"content": "i assume there is supposed to be a => in between the two augmented matrices. This step is wrong, 15-7 is not 7",
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"id": 1014919659100852200,
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"author_name": "waler",
"timestamp": "09/01/2022 11:28:23",
"content": "be careful with the algebra",
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},
{
"id": 1014920180222148700,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "09/01/2022 11:30:27",
"content": "Oh yeah",
"attachments": [],
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},
{
"id": 1014920224446890100,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "09/01/2022 11:30:37",
"content": "I've sat too long with this without break",
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},
{
"id": 1014920314259509400,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "09/01/2022 11:30:59",
"content": "just try to do it really slowly",
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},
{
"id": 1014920424901062800,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "09/01/2022 11:31:25",
"content": "you are just messing up with the calculations, that's all",
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},
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"id": 1014921319856484500,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "09/01/2022 11:34:58",
"content": "",
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"id": 1014921321446121500,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "09/01/2022 11:34:59",
"content": "Finally",
"attachments": [],
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},
{
"id": 1014921349858328600,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "09/01/2022 11:35:06",
"content": "I think I spent over 1 hour on this lol",
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},
{
"id": 1014921482339618800,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "09/01/2022 11:35:37",
"content": "seems good now",
"attachments": [],
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},
{
"id": 1014921655132377200,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "09/01/2022 11:36:18",
"content": "I think I should write what Im actually doing too",
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},
{
"id": 1014921668814180400,
"author_id": 825100575346917400,
"author_name": "sure",
"timestamp": "09/01/2022 11:36:22",
"content": "So it's easy to see",
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},
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"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 12:02:12",
"content": "@sure Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 12:10:54",
"content": "Channel closed",
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}
] |
help-9
|
dade6febecb846e081a3527d995a7f9e
|
198,175 |
[
{
"id": 1014930611607183400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 12:11:54",
"content": "Available help channel!",
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},
{
"id": 1014931912512520300,
"author_id": 406453846945169400,
"author_name": "Ice Bear",
"timestamp": "09/01/2022 12:17:04",
"content": "I need help with explaining why Ln is going more upwards than Lg (logarithms)",
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"timestamp": "09/01/2022 12:17:05",
"content": "Pinned a message.",
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{
"id": 1014932157384376300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/01/2022 12:18:02",
"content": "e<10, so log_e(x) > log_10(x) [for x > 1]",
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},
{
"id": 1014932172995567600,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/01/2022 12:18:06",
"content": "Ln = 2.303 log",
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},
{
"id": 1014932264393650300,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/01/2022 12:18:28",
"content": "ye",
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{
"id": 1014932321113227400,
"author_id": 406453846945169400,
"author_name": "Ice Bear",
"timestamp": "09/01/2022 12:18:41",
"content": "i dont get it 😛",
"attachments": [],
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},
{
"id": 1014932334660817000,
"author_id": 406453846945169400,
"author_name": "Ice Bear",
"timestamp": "09/01/2022 12:18:45",
"content": "ouf",
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"reference": null
},
{
"id": 1014932441191960600,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/01/2022 12:19:10",
"content": "e=2.7",
"attachments": [],
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},
{
"id": 1014932458317295600,
"author_id": 406453846945169400,
"author_name": "Ice Bear",
"timestamp": "09/01/2022 12:19:14",
"content": "yes",
"attachments": [],
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},
{
"id": 1014932476562526200,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/01/2022 12:19:18",
"content": "now check",
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},
{
"id": 1014932524155277300,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/01/2022 12:19:30",
"content": "2.71",
"attachments": [],
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},
{
"id": 1014932533080752300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/01/2022 12:19:32",
"content": "better not to treat approximate equality as equality...",
"attachments": [],
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},
{
"id": 1014932582695190500,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/01/2022 12:19:44",
"content": "yea just for understanding",
"attachments": [],
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},
{
"id": 1014932605851926700,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/01/2022 12:19:49",
"content": "not for solving",
"attachments": [],
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},
{
"id": 1014932606036480100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/01/2022 12:19:49",
"content": "it's *approximately* 2.718",
"attachments": [],
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},
{
"id": 1014932637766389800,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/01/2022 12:19:57",
"content": "yes it's",
"attachments": [],
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"reference": null
},
{
"id": 1014932645672648700,
"author_id": 406453846945169400,
"author_name": "Ice Bear",
"timestamp": "09/01/2022 12:19:59",
"content": "i wrote wong order",
"attachments": [],
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},
{
"id": 1014932652215783400,
"author_id": 406453846945169400,
"author_name": "Ice Bear",
"timestamp": "09/01/2022 12:20:00",
"content": "e",
"attachments": [],
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"reference": null
},
{
"id": 1014932689511514100,
"author_id": 406453846945169400,
"author_name": "Ice Bear",
"timestamp": "09/01/2022 12:20:09",
"content": "but yeah",
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},
{
"id": 1014932701763096600,
"author_id": 406453846945169400,
"author_name": "Ice Bear",
"timestamp": "09/01/2022 12:20:12",
"content": "then what?",
"attachments": [],
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},
{
"id": 1014932914443661300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/01/2022 12:21:03",
"content": "well you could also go the formulaic route and use the change of base formula\n\nlog_e(x) = log_e(10) * log_10(x)",
"attachments": [],
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},
{
"id": 1014932945380847600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/01/2022 12:21:10",
"content": "log_e(10) is approximately 2.303",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014932995339190300,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/01/2022 12:21:22",
"content": "how old you both??",
"attachments": [],
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},
{
"id": 1014933021624910000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/01/2022 12:21:28",
"content": "so log_e(x) is that many times bigger than log_10(x)...",
"attachments": [],
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},
{
"id": 1014933086934417400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/01/2022 12:21:44",
"content": "does \"you both\" include me?",
"attachments": [],
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},
{
"id": 1014933116281950200,
"author_id": 406453846945169400,
"author_name": "Ice Bear",
"timestamp": "09/01/2022 12:21:51",
"content": "im 17, but this is the first time im having logarithms",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014933137106669600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/01/2022 12:21:56",
"content": "...ok it must include both me and OP",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014933160108236900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/01/2022 12:22:01",
"content": "idk why you would want to know my age tho",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014933177791430700,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/01/2022 12:22:06",
"content": "log e 10 is just log 10 ryt",
"attachments": [],
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{
"id": 1014933215984754800,
"author_id": 292982329377423360,
"author_name": "LuckyPie",
"timestamp": "09/01/2022 12:22:15",
"content": "fbi time?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014933303964475400,
"author_id": 406453846945169400,
"author_name": "Ice Bear",
"timestamp": "09/01/2022 12:22:36",
"content": "perhaps",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014933549218005100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/01/2022 12:23:34",
"content": "i mean ok like\ni'm 23, so what",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014934185745584300,
"author_id": 292982329377423360,
"author_name": "LuckyPie",
"timestamp": "09/01/2022 12:26:06",
"content": "he doesnt want the cupcakes anymore",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014934241412395100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/01/2022 12:26:19",
"content": "*if* you use log without a base to mean the natural logarithm then yes, log_e(10) = log(10).",
"attachments": [],
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},
{
"id": 1014934270386634900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/01/2022 12:26:26",
"content": "who? what cupcakes?",
"attachments": [],
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},
{
"id": 1014934318864400400,
"author_id": 406453846945169400,
"author_name": "Ice Bear",
"timestamp": "09/01/2022 12:26:38",
"content": "lol",
"attachments": [],
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},
{
"id": 1014934412808421400,
"author_id": 406453846945169400,
"author_name": "Ice Bear",
"timestamp": "09/01/2022 12:27:00",
"content": "imma bail think i got it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014934422157537400,
"author_id": 406453846945169400,
"author_name": "Ice Bear",
"timestamp": "09/01/2022 12:27:02",
"content": "bye",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014934445905694800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/01/2022 12:27:08",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014934449202397300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 12:27:09",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
0026c4d5596d466fb7246b06a0239dfd
|
198,176 |
[
{
"id": 1014934450456506500,
"author_id": 406453846945169400,
"author_name": "Ice Bear",
"timestamp": "09/01/2022 12:27:09",
"content": "and thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014934497558540400,
"author_id": 406453846945169400,
"author_name": "Ice Bear",
"timestamp": "09/01/2022 12:27:20",
"content": "damn",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014934512976789500,
"author_id": 406453846945169400,
"author_name": "Ice Bear",
"timestamp": "09/01/2022 12:27:24",
"content": "gota reopen",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014934701036798000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 12:28:09",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014935350642229200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 12:30:44",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1014935348670906400,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1014935422159302800,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "09/01/2022 12:31:01",
"content": "you can't necessarily",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014935444913393700,
"author_id": 292982329377423360,
"author_name": "LuckyPie",
"timestamp": "09/01/2022 12:31:06",
"content": "explicit formula of what my dude?",
"attachments": [],
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"reference": null
},
{
"id": 1014935455491428500,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "09/01/2022 12:31:09",
"content": "you need more terms",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014935545937412100,
"author_id": 292982329377423360,
"author_name": "LuckyPie",
"timestamp": "09/01/2022 12:31:30",
"content": "do you know what type of series it is",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014935684131323900,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "09/01/2022 12:32:03",
"content": "@Crazy Tiger please refer to this to understand why this is not enough info",
"attachments": [
{
"id": 1014935683258925000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1014935683258925096/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 541393
}
],
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"name": "Crazy Tiger",
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},
{
"id": 1014935763399475300,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "09/01/2022 12:32:22",
"content": "https://www.desmos.com/calculator/83zibmopxy",
"attachments": [],
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},
{
"id": 1014935825152225400,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "09/01/2022 12:32:37",
"content": "your sequence is non constant increase so it could be quadratic, cubic or higher",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014935880206663800,
"author_id": 804401325042434000,
"author_name": "Max..",
"timestamp": "09/01/2022 12:32:50",
"content": "u need at least 4 terms if it's quadratic",
"attachments": [],
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"reference": null
},
{
"id": 1014936844045131800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/01/2022 12:36:40",
"content": "can you show the problem exactly as stated?",
"attachments": [],
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},
{
"id": 1014936893114286200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/01/2022 12:36:51",
"content": "simply to know for sure what it says bc details matter",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014938087308144800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 12:41:36",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
c718206db87c460cb65a66b3d8e23d70
|
198,177 |
[
{
"id": 1014941728307945500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 12:56:04",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014941865570730100,
"author_id": 150784942521974800,
"author_name": "Aceplosion",
"timestamp": "09/01/2022 12:56:37",
"content": "",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 12:56:37",
"content": "Pinned a message.",
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{
"id": 1014941946298499200,
"author_id": 150784942521974800,
"author_name": "Aceplosion",
"timestamp": "09/01/2022 12:56:56",
"content": "Hi so I'm not sure whether this is true or not because idk if imaginary numbers are included in the set of real numbers",
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},
{
"id": 1014942109578567800,
"author_id": 150784942521974800,
"author_name": "Aceplosion",
"timestamp": "09/01/2022 12:57:35",
"content": "I understand that the statement reads \nfor all x in the real number set, such that some y exists in the real number set, such that y^2 = x",
"attachments": [],
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},
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"id": 1014942176586760200,
"author_id": 292982329377423360,
"author_name": "LuckyPie",
"timestamp": "09/01/2022 12:57:51",
"content": "imaginary numbers are included in C not R",
"attachments": [],
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{
"id": 1014942202813763700,
"author_id": 150784942521974800,
"author_name": "Aceplosion",
"timestamp": "09/01/2022 12:57:57",
"content": "for all positive values I think it is true because you can always have y = sqrt(x)",
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},
{
"id": 1014942328370245800,
"author_id": 150784942521974800,
"author_name": "Aceplosion",
"timestamp": "09/01/2022 12:58:27",
"content": "i see, so then this statement is false because negative numbers would only work if imaginary numbers were included",
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},
{
"id": 1014942348616151200,
"author_id": 150784942521974800,
"author_name": "Aceplosion",
"timestamp": "09/01/2022 12:58:32",
"content": "right?",
"attachments": [],
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},
{
"id": 1014942574844313600,
"author_id": 292982329377423360,
"author_name": "LuckyPie",
"timestamp": "09/01/2022 12:59:26",
"content": "yissir",
"attachments": [],
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},
{
"id": 1014942695275368600,
"author_id": 150784942521974800,
"author_name": "Aceplosion",
"timestamp": "09/01/2022 12:59:55",
"content": "okay thanks",
"attachments": [],
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"reference": null
},
{
"id": 1014942715206717400,
"author_id": 150784942521974800,
"author_name": "Aceplosion",
"timestamp": "09/01/2022 13:00:00",
"content": ".close",
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},
{
"id": 1014942718046240800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 13:00:00",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
7bc0aa371ddc4f598018acc41ccc9b08
|
198,178 |
[
{
"id": 1014945440212467800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 13:10:49",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1014945543350390800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 13:11:14",
"content": "Pinned a message.",
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"timestamp": "09/01/2022 13:16:10",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
6cbe198fe2e1430c945ce268c3e56e9b
|
198,179 |
[
{
"id": 1014949713390342300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 13:27:48",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014952252647161900,
"author_id": 756136621224493200,
"author_name": "darija",
"timestamp": "09/01/2022 13:37:53",
"content": "4+(x-3)=5-x",
"attachments": [],
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},
{
"id": 1014952253901250600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 13:37:54",
"content": "Pinned a message.",
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"messageId": 1014952252647161900,
"channelId": 486844875632017400,
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}
},
{
"id": 1014952438811345000,
"author_id": 756136621224493200,
"author_name": "darija",
"timestamp": "09/01/2022 13:38:38",
"content": "what do i do with the (x-3) like how am i supposed to know what x is? how do i figure out the ()",
"attachments": [],
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"reference": null
},
{
"id": 1014956133678600400,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "09/01/2022 13:53:19",
"content": "In this case you can remove the brackets",
"attachments": [],
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"reference": null
},
{
"id": 1014956165836325000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "09/01/2022 13:53:26",
"content": "It's 4+x-3",
"attachments": [],
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"reference": null
},
{
"id": 1014956549476712600,
"author_id": 756136621224493200,
"author_name": "darija",
"timestamp": "09/01/2022 13:54:58",
"content": "omg thank u",
"attachments": [],
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},
{
"id": 1014956564613959700,
"author_id": 756136621224493200,
"author_name": "darija",
"timestamp": "09/01/2022 13:55:01",
"content": ".close",
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},
{
"id": 1014956567554166800,
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"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 13:55:02",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
7f169f1a1bee4c0589288afd83a802ed
|
198,180 |
[
{
"id": 1014956819711537200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 13:56:02",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1014958645223641100,
"author_id": 531524746895032400,
"author_name": "everytimecrusader",
"timestamp": "09/01/2022 14:03:18",
"content": "yo",
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},
{
"id": 1014958647815708800,
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"timestamp": "09/01/2022 14:03:18",
"content": "Pinned a message.",
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"author_name": "everytimecrusader",
"timestamp": "09/01/2022 14:03:22",
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"id": 1014958724487585800,
"author_id": 531524746895032400,
"author_name": "everytimecrusader",
"timestamp": "09/01/2022 14:03:36",
"content": "How do i take the module with the imaginary unit inside?",
"attachments": [],
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},
{
"id": 1014958772705296400,
"author_id": 531524746895032400,
"author_name": "everytimecrusader",
"timestamp": "09/01/2022 14:03:48",
"content": "Can i just place at evidence and remove it?",
"attachments": [],
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},
{
"id": 1014958876774375400,
"author_id": 787351231332483100,
"author_name": "hsp",
"timestamp": "09/01/2022 14:04:13",
"content": "$|a+ib| = \\sqrt{a^2+b^2}$",
"attachments": [],
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"reference": null
},
{
"id": 1014958888367435800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/01/2022 14:04:16",
"content": "**hsp**",
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"id": 1014959064490446800,
"author_id": 531524746895032400,
"author_name": "everytimecrusader",
"timestamp": "09/01/2022 14:04:58",
"content": "In this case then i would just ignore the imaginary part and put it in a sqrt?",
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"author_name": "hsp",
"timestamp": "09/01/2022 14:05:35",
"content": "uh",
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},
{
"id": 1014959341813649500,
"author_id": 531524746895032400,
"author_name": "everytimecrusader",
"timestamp": "09/01/2022 14:06:04",
"content": "How would you apply this rule on the equation above?",
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},
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"id": 1014959530603450500,
"author_id": 787351231332483100,
"author_name": "hsp",
"timestamp": "09/01/2022 14:06:49",
"content": "sorry my internet is wildin",
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},
{
"id": 1014959591391510700,
"author_id": 787351231332483100,
"author_name": "hsp",
"timestamp": "09/01/2022 14:07:03",
"content": "can you just tell me what value you mean",
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"author_name": "hsp",
"timestamp": "09/01/2022 14:07:10",
"content": "can you just tell me what expression you mean",
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},
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"id": 1014959756676436100,
"author_id": 531524746895032400,
"author_name": "everytimecrusader",
"timestamp": "09/01/2022 14:07:43",
"content": "Would it be $\\sqrt[]{7²+(4-x)²}$",
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},
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"id": 1014959848552661000,
"author_id": 531524746895032400,
"author_name": "everytimecrusader",
"timestamp": "09/01/2022 14:08:04",
"content": "?",
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},
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"id": 1014959866034528300,
"author_id": 702491873021001900,
"author_name": "sloppymope",
"timestamp": "09/01/2022 14:08:09",
"content": "why 11?",
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},
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"id": 1014959886766977200,
"author_id": 702491873021001900,
"author_name": "sloppymope",
"timestamp": "09/01/2022 14:08:14",
"content": "7.",
"attachments": [],
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},
{
"id": 1014959887572291700,
"author_id": 531524746895032400,
"author_name": "everytimecrusader",
"timestamp": "09/01/2022 14:08:14",
"content": "oh mb",
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"id": 1014959941414555900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/01/2022 14:08:27",
"content": "**everytimecrusader**",
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"id": 1014959958678307000,
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"author_name": "sloppymope",
"timestamp": "09/01/2022 14:08:31",
"content": "yes",
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},
{
"id": 1014959963321405400,
"author_id": 531524746895032400,
"author_name": "everytimecrusader",
"timestamp": "09/01/2022 14:08:32",
"content": "Yeah i got it",
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},
{
"id": 1014959967087902800,
"author_id": 787351231332483100,
"author_name": "hsp",
"timestamp": "09/01/2022 14:08:33",
"content": "looks good",
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},
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"author_name": "everytimecrusader",
"timestamp": "09/01/2022 14:08:34",
"content": "thx",
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},
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"author_id": 531524746895032400,
"author_name": "everytimecrusader",
"timestamp": "09/01/2022 14:08:40",
"content": ".close",
"attachments": [],
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},
{
"id": 1014960002198417400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 14:08:41",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
910a32fd1d2a4befa5de74c4321f44f5
|
198,181 |
[
{
"id": 960354956886573200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/03/2022 21:47:44",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 960358785375952900,
"author_id": 265520530965135360,
"author_name": "sebb",
"timestamp": "04/03/2022 22:02:57",
"content": "someone help me",
"attachments": [],
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"reference": null
},
{
"id": 960358787380817900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/03/2022 22:02:57",
"content": "Pinned a message.",
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"messageId": 960358785375952900,
"channelId": 486844875632017400,
"guildId": null
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},
{
"id": 960359137756209200,
"author_id": 265520530965135360,
"author_name": "sebb",
"timestamp": "04/03/2022 22:04:21",
"content": "in need of a smart guy",
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"reference": null
},
{
"id": 960359192433156100,
"author_id": 553412283561148400,
"author_name": "Elise",
"timestamp": "04/03/2022 22:04:34",
"content": ":JustAsk:",
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},
{
"id": 960360685689254000,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "04/03/2022 22:10:30",
"content": "Send the question@sebb",
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"id": 960361589771477100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/03/2022 22:14:05",
"content": ".close",
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},
{
"id": 960361591239503900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/03/2022 22:14:06",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
962e137df3834fa0892d8c8a9afa894c
|
198,182 |
[
{
"id": 1014960776404025300,
"author_id": 567994604897697800,
"author_name": "Einfach_Emu",
"timestamp": "09/01/2022 14:11:46",
"content": "Can someone describe the property of the function:2x⁵-3x²+x\nEspecially describing how and why it is unlimited X",
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},
{
"id": 1014961770697343000,
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"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 14:15:43",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1014966316966367200,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "09/01/2022 14:33:47",
"content": "Confusion on a very simple trig problem",
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},
{
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"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 14:33:47",
"content": "Pinned a message.",
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"channelId": 486844875632017400,
"guildId": null
}
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{
"id": 1014966324226695200,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "09/01/2022 14:33:48",
"content": "$5*tan(65)$",
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},
{
"id": 1014966336943820900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/01/2022 14:33:51",
"content": "**dopediscorduser**",
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"author_name": "dopediscorduser",
"timestamp": "09/01/2022 14:34:03",
"content": "",
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{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1014966386243674292/unknown.png",
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"id": 1014966429189165200,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "09/01/2022 14:34:13",
"content": "Why is this telling me -7.3",
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},
{
"id": 1014966551247601800,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "09/01/2022 14:34:42",
"content": "This telling me 10.7",
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"author_name": "dopediscorduser",
"timestamp": "09/01/2022 14:34:53",
"content": "",
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{
"id": 1014966614095048800,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "09/01/2022 14:34:57",
"content": "And this also telling me -7.3?",
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},
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"id": 1014966755006877800,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "09/01/2022 14:35:31",
"content": "Here it uses deg",
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"id": 1014966769552720000,
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"author_name": "Janox",
"timestamp": "09/01/2022 14:35:35",
"content": "Here radians",
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"author_name": "dopediscorduser",
"timestamp": "09/01/2022 14:35:53",
"content": "Ohhh",
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},
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"id": 1014966875584745600,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "09/01/2022 14:36:00",
"content": "Yeah that makes sense",
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},
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"author_name": "Janox",
"timestamp": "09/01/2022 14:36:18",
"content": "",
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"author_name": "dopediscorduser",
"timestamp": "09/01/2022 14:37:00",
"content": "Right gotcha",
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},
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"id": 1014967140366942300,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "09/01/2022 14:37:03",
"content": "Thank you",
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},
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"id": 1014967171396415500,
"author_id": 570064042895474700,
"author_name": "dopediscorduser",
"timestamp": "09/01/2022 14:37:10",
"content": ".close",
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},
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"id": 1014967174177235000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 14:37:11",
"content": "Channel closed",
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}
] |
help-9
|
1b42bc246c9d4836abcff2f494b3e8df
|
198,183 |
[
{
"id": 1014968843917078500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 14:43:49",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1014969146380918800,
"author_id": 311906859076550660,
"author_name": "Chaotic",
"timestamp": "09/01/2022 14:45:01",
"content": "/reopen",
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},
{
"id": 1014969148608094300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 14:45:02",
"content": "Pinned a message.",
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"id": 1014969372558770300,
"author_id": 311906859076550660,
"author_name": "Chaotic",
"timestamp": "09/01/2022 14:45:55",
"content": "okay but **how** do I plug in those numbers",
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},
{
"id": 1014969639794659300,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "09/01/2022 14:46:59",
"content": "?",
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},
{
"id": 1014970233922007000,
"author_id": 781228420997840900,
"author_name": "FireBlazer",
"timestamp": "09/01/2022 14:49:21",
"content": "What numbers do you want to plug-in?",
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},
{
"id": 1014970782608269300,
"author_id": 311906859076550660,
"author_name": "Chaotic",
"timestamp": "09/01/2022 14:51:31",
"content": "I tried reopening my old thread fk",
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},
{
"id": 1014970801189048400,
"author_id": 311906859076550660,
"author_name": "Chaotic",
"timestamp": "09/01/2022 14:51:36",
"content": "uh I guess ill post it here again",
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},
{
"id": 1014970864250400900,
"author_id": 311906859076550660,
"author_name": "Chaotic",
"timestamp": "09/01/2022 14:51:51",
"content": "I need help with this from step 0 to the answer",
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{
"id": 1014970919686508700,
"author_id": 311906859076550660,
"author_name": "Chaotic",
"timestamp": "09/01/2022 14:52:04",
"content": "I have absolutely zero math skills so yes I will need the most basic explanation possible",
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},
{
"id": 1014971064633266300,
"author_id": 607102310526484500,
"author_name": "Darkness",
"timestamp": "09/01/2022 14:52:39",
"content": "y=ax+b\na is the slope",
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},
{
"id": 1014971208627933200,
"author_id": 607102310526484500,
"author_name": "Darkness",
"timestamp": "09/01/2022 14:53:13",
"content": "y-intercept means at x=0",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 15:07:04",
"content": "@Chaotic Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 15:22:05",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
78fece94fac8481dbe221214d95bb02b
|
198,184 |
[
{
"id": 1014986421490171900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 15:53:40",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1014988323531538400,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "09/01/2022 16:01:13",
"content": "Can someone help me with 2 and 3?",
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"timestamp": "09/01/2022 16:01:14",
"content": "Pinned a message.",
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{
"id": 1014988423704092800,
"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "09/01/2022 16:01:37",
"content": "What have you tried?",
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},
{
"id": 1014988464120401900,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "09/01/2022 16:01:47",
"content": "I just dont know how to find it",
"attachments": [],
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"reference": null
},
{
"id": 1014988693309771900,
"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "09/01/2022 16:02:42",
"content": "The average rate of change is f(4)-f(1)/[4-1]",
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},
{
"id": 1014988737932972200,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "09/01/2022 16:02:52",
"content": "Oh ok so one second",
"attachments": [],
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},
{
"id": 1014988744794853400,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "09/01/2022 16:02:54",
"content": "Does that mean",
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},
{
"id": 1014988807126384800,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "09/01/2022 16:03:09",
"content": "2-3 divided by 4-1",
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},
{
"id": 1014988811199062000,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "09/01/2022 16:03:10",
"content": "?",
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},
{
"id": 1014988827909165000,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "09/01/2022 16:03:14",
"content": "For question 2",
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},
{
"id": 1014989011305111700,
"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "09/01/2022 16:03:57",
"content": "For the left one, yes",
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},
{
"id": 1014989120923250800,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "09/01/2022 16:04:24",
"content": "you can imagine drawing a line, from (1,f(1)) to (4,f(4)), and the slope of this line is the average rate of change",
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},
{
"id": 1014989162111316000,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "09/01/2022 16:04:33",
"content": "Oh ok and the right one would be 5 - -3 divided by 4-1",
"attachments": [],
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},
{
"id": 1014989228037390500,
"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "09/01/2022 16:04:49",
"content": "4-1 = 3",
"attachments": [],
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},
{
"id": 1014989235457114100,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "09/01/2022 16:04:51",
"content": "so from where the graph goes through x=1 to x=4",
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},
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"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "09/01/2022 16:04:52",
"content": "Thanks",
"attachments": [],
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"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "09/01/2022 16:05:11",
"content": "Thanks for the help",
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},
{
"id": 1014989330206429200,
"author_id": 583126818111094800,
"author_name": "TheMadIrish",
"timestamp": "09/01/2022 16:05:13",
"content": ".close",
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},
{
"id": 1014989332853035100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 16:05:14",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
8fb4a1be92424eb5a3aabca6e8fa6b89
|
198,185 |
[
{
"id": 1015001041089089500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 16:51:46",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015002716331855900,
"author_id": 514580791821467650,
"author_name": "leo volynski",
"timestamp": "09/01/2022 16:58:25",
"content": "Hey guys, question: If you are using the poincare model for hyperbolic geometry, and you have one geodesic G and one point that is not on the geodesic (P), how do you find the closest point on G to P (in terms of hyperbolic distance)?",
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"timestamp": "09/01/2022 16:58:25",
"content": "Pinned a message.",
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"id": 1015004593211572200,
"author_id": 295654938741309440,
"author_name": "M8732",
"timestamp": "09/01/2022 17:05:52",
"content": "Maybe also ask this in #diff-geo-top.",
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"author_name": "leo volynski",
"timestamp": "09/01/2022 17:07:35",
"content": "@M8732 It does not let me ask",
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"id": 1015005070766637200,
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"author_name": "iCaird",
"timestamp": "09/01/2022 17:07:46",
"content": "#get-advanced-access",
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},
{
"id": 1015005264484782100,
"author_id": 514580791821467650,
"author_name": "leo volynski",
"timestamp": "09/01/2022 17:08:32",
"content": "Cool",
"attachments": [],
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},
{
"id": 1015009041040285800,
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"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 17:23:33",
"content": "@leo volynski Has your question been resolved?",
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"timestamp": "09/01/2022 17:53:39",
"content": "@leo volynski Has your question been resolved?",
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"timestamp": "09/01/2022 18:23:40",
"content": "Channel closed",
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}
] |
help-9
|
7c3ae910871240d18ba9d9f391995ce3
|
198,186 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 18:24:40",
"content": "Available help channel!",
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},
{
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"author_id": 869300975461077000,
"author_name": "OwlDolphin2010",
"timestamp": "09/01/2022 18:36:34",
"content": "I don’t know how to awnser 2",
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"timestamp": "09/01/2022 18:36:35",
"content": "Pinned a message.",
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"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 18:51:35",
"content": "@OwlDolphin2010 Has your question been resolved?",
"attachments": [],
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"timestamp": "09/01/2022 19:06:35",
"content": "Channel closed",
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}
] |
help-9
|
77c5357da0e746049e9608565e22ce29
|
198,187 |
[
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 19:50:54",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1015053762018164700,
"author_id": 403332357391908860,
"author_name": "000557A",
"timestamp": "09/01/2022 20:21:15",
"content": "How is this point at 5 considered a vertical tangent ?\n\nThis question asks to identify parts at which \"f\" is \nI've identified the vertical asympote already (at x=1)\n\nbut I fail to see how (x=5) is a vertical tangent.\nI also tried running a ruler throughout the area, but the ruler is not completely straight up at any part\n\nFor reference, i've put a box around 5 to show that is not completely straight up.",
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"content": "Pinned a message.",
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"id": 1015055264380100600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/01/2022 20:27:13",
"content": "Your book could be wrong",
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},
{
"id": 1015055352498245800,
"author_id": 216912122083409920,
"author_name": "Learath2",
"timestamp": "09/01/2022 20:27:34",
"content": "This is a bad question if it doesn't give you the equation for f, asking for you to identify vertical tangents by eye is just silly 😄",
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},
{
"id": 1015055427131674600,
"author_id": 403332357391908860,
"author_name": "000557A",
"timestamp": "09/01/2022 20:27:52",
"content": "> The graph of f is given. State, with reasons, the numbers\n> at which f is not differentiable.",
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"author_name": "000557A",
"timestamp": "09/01/2022 20:27:56",
"content": "yea no formula lol",
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"id": 1015055476930646000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/01/2022 20:28:04",
"content": "Even around a vertical asymptote the tangent isnt vertically oriented it has some angle",
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"author_name": "Deleted User",
"timestamp": "09/01/2022 20:28:14",
"content": "@000557A",
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"author_id": 403332357391908860,
"author_name": "000557A",
"timestamp": "09/01/2022 20:28:37",
"content": "yes but vertical asymptote is not differentiabl, so it is included in answer",
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"id": 1015055697286795400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/01/2022 20:28:57",
"content": "Vertical tangent implies infinite gradient",
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"author_id": 216912122083409920,
"author_name": "Learath2",
"timestamp": "09/01/2022 20:29:15",
"content": "but yes, that's essentially it, just look for places where tangents become vertical enough and call it a day",
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"id": 1015055777377030300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/01/2022 20:29:16",
"content": "So your dy/dx should have a vertical asymptote at that point",
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},
{
"id": 1015055795378983000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/01/2022 20:29:20",
"content": "But going by the graph",
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"id": 1015055808028999700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/01/2022 20:29:23",
"content": "It's not",
"attachments": [],
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},
{
"id": 1015055857572139100,
"author_id": 403332357391908860,
"author_name": "000557A",
"timestamp": "09/01/2022 20:29:35",
"content": "so the graph is just off ?",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/01/2022 20:29:39",
"content": "It's still wrong",
"attachments": [],
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"author_name": "Deleted User",
"timestamp": "09/01/2022 20:29:46",
"content": "Nope graph is fine",
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"timestamp": "09/01/2022 20:29:52",
"content": "Question is stupid",
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},
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"id": 1015055970419884000,
"author_id": 403332357391908860,
"author_name": "000557A",
"timestamp": "09/01/2022 20:30:02",
"content": "ok so i skip then thx",
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"id": 1015055979622187100,
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"timestamp": "09/01/2022 20:30:04",
"content": ".close",
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},
{
"id": 1015055982474305500,
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"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 20:30:05",
"content": "Channel closed",
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}
] |
help-9
|
394f384bef4641de9c3012312f9b3c7e
|
198,188 |
[
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"id": 1015056291342856200,
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"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 20:31:18",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015058617738735700,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "09/01/2022 20:40:33",
"content": "",
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"timestamp": "09/01/2022 20:40:33",
"content": "Pinned a message.",
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"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "09/01/2022 20:40:55",
"content": "I’m having trouble figuring this out",
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},
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"id": 1015059245126930400,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "09/01/2022 20:43:02",
"content": "Ok I actually got it",
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},
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"id": 1015059252106235900,
"author_id": 819818586965016600,
"author_name": "Jun♾",
"timestamp": "09/01/2022 20:43:04",
"content": ".close",
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},
{
"id": 1015059254941593700,
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"timestamp": "09/01/2022 20:43:05",
"content": "Channel closed",
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}
] |
help-9
|
c720f55221db47ed805f40ae1bdac3cd
|
198,189 |
[
{
"id": 1015065431758868500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 21:07:37",
"content": "Available help channel!",
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},
{
"id": 1015066278370738200,
"author_id": 332133779273416700,
"author_name": "SugarRobinso",
"timestamp": "09/01/2022 21:10:59",
"content": "Is something like this legal?\n**f({x})**\n*{x} is a singleton.*",
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},
{
"id": 1015066280266575900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 21:11:00",
"content": "Pinned a message.",
"attachments": [],
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"id": 1015066407240728700,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "09/01/2022 21:11:30",
"content": "sure, it ends up being the same as f(x)",
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},
{
"id": 1015066466938257400,
"author_id": 332133779273416700,
"author_name": "SugarRobinso",
"timestamp": "09/01/2022 21:11:44",
"content": "Great, thanks!",
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},
{
"id": 1015066490652856400,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "09/01/2022 21:11:50",
"content": "or rather its probably {f(x)}",
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},
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"author_id": 332133779273416700,
"author_name": "SugarRobinso",
"timestamp": "09/01/2022 21:13:00",
"content": "Nope, it's f({x}), but if it is legal I'm ok with it.",
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},
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"author_id": 332133779273416700,
"author_name": "SugarRobinso",
"timestamp": "09/01/2022 21:13:13",
"content": ".close",
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},
{
"id": 1015066841623822300,
"author_id": 805217272087838700,
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"timestamp": "09/01/2022 21:13:14",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
23523747950f4aa5b47bae7c2b2244b3
|
198,190 |
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"id": 1015067097824497700,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "09/01/2022 21:14:15",
"content": "i mean f({x}) = {f(x)}. For a set A, f(A) = { f(a) | a in A}",
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"timestamp": "09/01/2022 21:35:01",
"content": "Available help channel!",
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"id": 1015073342144909300,
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"content": "",
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"timestamp": "09/01/2022 21:39:04",
"content": "Pinned a message.",
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"id": 1015073379545530500,
"author_id": 1009585371878801400,
"author_name": "-w-",
"timestamp": "09/01/2022 21:39:12",
"content": "where does the 2b and the 2a come from?",
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"timestamp": "09/01/2022 21:39:17",
"content": "I don't understand how we get there",
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"author_id": 317468487838728200,
"author_name": "Samsamson33",
"timestamp": "09/01/2022 21:41:41",
"content": "in the upper expression, the two values are the same, right?",
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"timestamp": "09/01/2022 21:42:54",
"content": "sorry didnt know it was cut off",
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"timestamp": "09/01/2022 21:43:09",
"content": "I dont understand 😭",
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"author_name": "Samsamson33",
"timestamp": "09/01/2022 21:45:59",
"content": "these two mean the same thing",
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"id": 1015075246262452200,
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"timestamp": "09/01/2022 21:46:37",
"content": "oh I see",
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"timestamp": "09/01/2022 21:46:46",
"content": "but I still don't quite understand how we get the 2b and 2a from that",
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"author_id": 317468487838728200,
"author_name": "Samsamson33",
"timestamp": "09/01/2022 21:46:54",
"content": "because you just add them up",
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"author_id": 317468487838728200,
"author_name": "Samsamson33",
"timestamp": "09/01/2022 21:47:38",
"content": "actually wait",
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"author_id": 317468487838728200,
"author_name": "Samsamson33",
"timestamp": "09/01/2022 21:47:45",
"content": "they don't mean exactly the same thing",
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"author_name": "Samsamson33",
"timestamp": "09/01/2022 21:48:53",
"content": "but the reason you end up with the 2b is because\n> -b sin(ax) sin(bx) - b sin(ax) sin(bx) = -2 b sin(ax) sin(bx)",
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"id": 1015076090647171100,
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"timestamp": "09/01/2022 21:49:59",
"content": "OHHH",
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"id": 1015076103687254100,
"author_id": 1009585371878801400,
"author_name": "-w-",
"timestamp": "09/01/2022 21:50:02",
"content": "I see I think I get it now",
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"id": 1015076112881168400,
"author_id": 1009585371878801400,
"author_name": "-w-",
"timestamp": "09/01/2022 21:50:04",
"content": "thank you so much!!!",
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{
"id": 1015076124830744600,
"author_id": 1009585371878801400,
"author_name": "-w-",
"timestamp": "09/01/2022 21:50:07",
"content": "❤️",
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"id": 1015076147656151200,
"author_id": 1009585371878801400,
"author_name": "-w-",
"timestamp": "09/01/2022 21:50:12",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 21:50:13",
"content": "Channel closed",
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help-9
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b6d838ffb79f4c0e8f788d51bad50034
|
198,191 |
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"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 21:51:13",
"content": "Available help channel!",
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"timestamp": "09/01/2022 21:53:09",
"content": "@Nodachi",
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"timestamp": "09/01/2022 21:53:09",
"content": "Pinned a message.",
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"timestamp": "09/01/2022 21:53:12",
"content": "Here",
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"author_name": "Nodachi",
"timestamp": "09/01/2022 21:53:25",
"content": "Hello.",
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"id": 1015076998869156000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/01/2022 21:53:35",
"content": "So the thing is that what you're telling me is",
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"author_id": 456226577798135800,
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"timestamp": "09/01/2022 21:53:44",
"content": "You think displacement is zero, correct?",
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"timestamp": "09/01/2022 21:53:54",
"content": "Since you've been told it's the shortest distance covered",
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"author_name": "Deleted User",
"timestamp": "09/01/2022 21:54:11",
"content": "Well I'll need to refine that definition for you since it's not completely correct",
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"timestamp": "09/01/2022 21:54:14",
"content": "I know displacement is not zero",
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"id": 1015077237453754400,
"author_id": 456226577798135800,
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"timestamp": "09/01/2022 21:54:32",
"content": "Displacement is not the shortest distance from point a to point b",
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"author_name": "Nodachi",
"timestamp": "09/01/2022 21:54:37",
"content": "but I just can't comprehend the idea of how the displacement works there because its not straight.",
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"timestamp": "09/01/2022 21:54:43",
"content": "It is simply the distance covered in a single direction",
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"timestamp": "09/01/2022 21:55:02",
"content": "Like you see that velocity I've drawn is tangential to the circle",
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"timestamp": "09/01/2022 21:55:13",
"content": "Similarly the displacement is also tangential",
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"timestamp": "09/01/2022 21:55:40",
"content": "Tangent implies it is perpendicular to the radius btw",
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"timestamp": "09/01/2022 21:57:22",
"content": "So the total displacement of circular motion of a rotation would be zero bcz the direction is changing and since vectors can be positive as well as negative",
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"timestamp": "09/01/2022 21:57:37",
"content": "It sums to zero upon a full rotation",
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"timestamp": "09/01/2022 21:57:52",
"content": "Oh ok",
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"timestamp": "09/01/2022 21:57:55",
"content": "yep",
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"timestamp": "09/01/2022 21:58:11",
"content": "Just imagine it as a linear displacement in the direction that is tangent to the circle",
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"timestamp": "09/01/2022 21:58:31",
"content": "Like you imagine the velocity is tangent to the circle",
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"timestamp": "09/01/2022 22:00:00",
"content": "I don't know why I'm not comprehending this simple ideas.",
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"timestamp": "09/01/2022 22:00:05",
"content": "should I just use khan academy",
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"timestamp": "09/01/2022 22:00:17",
"content": "@Nodachi",
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"timestamp": "09/01/2022 22:00:34",
"content": "You know that displacement will only occur if some time duration has passed, correct?",
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"timestamp": "09/01/2022 22:00:37",
"content": "yes",
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"timestamp": "09/01/2022 22:00:47",
"content": "You can do both things lol",
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"author_name": "Nodachi",
"timestamp": "09/01/2022 22:01:01",
"content": "I'm stupid. I want to smack my brain why don't I understand what ur saying",
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"timestamp": "09/01/2022 22:01:12",
"content": "so image them as a bunch of straight lines in that direction",
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"timestamp": "09/01/2022 22:01:16",
"content": "Ok anyways continuing, so we knew that at the point I drew when t was 0, the object had some velocity v",
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"timestamp": "09/01/2022 22:02:01",
"content": "yah.",
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"timestamp": "09/01/2022 22:02:04",
"content": "Calm down, this is a hard thing to grasp for some people, circular motion isn't the simplest thing in the world. Relax and just try to focus, if you lose me somewhere just tell me",
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"timestamp": "09/01/2022 22:02:13",
"content": "I'm not even on circular motion",
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"timestamp": "09/01/2022 22:02:18",
"content": "honestly i think i needa blame my tutor",
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"timestamp": "09/01/2022 22:02:27",
"content": "Ok so if I say some small amount of time passes",
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"timestamp": "09/01/2022 22:02:29",
"content": "cus I wanted to go right from the basics and he is teaching me these concepts",
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"timestamp": "09/01/2022 22:02:31",
"content": "Like 0.01s",
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"timestamp": "09/01/2022 22:02:33",
"content": "yah",
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"timestamp": "09/01/2022 22:02:41",
"content": "Since the object had velocity it should move, right?",
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"timestamp": "09/01/2022 22:03:14",
"content": "So that very small distance it moved in the direction of v (our velocity) is displacement",
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"timestamp": "09/01/2022 22:03:28",
"content": "how does that justify that it is a straight line tho",
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"timestamp": "09/01/2022 22:03:50",
"content": "That's why I told you not to use that definition",
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"timestamp": "09/01/2022 22:04:04",
"content": "Displacement is the distance you cover in a single direction.",
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"content": "Single direction implies there is only one axis you care about",
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"timestamp": "09/01/2022 22:04:41",
"content": "oh i see,",
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"timestamp": "09/01/2022 22:05:20",
"content": "If you followed the blue path to get to F from O",
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"timestamp": "09/01/2022 22:05:25",
"content": "And I asked you",
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"timestamp": "09/01/2022 22:05:26",
"content": "thats the distance",
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"timestamp": "09/01/2022 22:05:36",
"content": "How much distance you travelled just in the direction of OF",
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"timestamp": "09/01/2022 22:05:43",
"content": "Not the total distance you travelled",
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"timestamp": "09/01/2022 22:06:00",
"content": "But only the distance travelled with respect to my axis",
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"timestamp": "09/01/2022 22:06:08",
"content": "What would u say",
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"content": "@Nodachi",
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"content": "the straight path",
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"timestamp": "09/01/2022 22:06:50",
"content": "Yes",
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"timestamp": "09/01/2022 22:07:02",
"content": "So that's why they tell you it's a straight line",
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"timestamp": "09/01/2022 22:07:15",
"content": "But you shouldn't blindly take that bcz sometimes your axis could be curved",
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"timestamp": "09/01/2022 22:07:23",
"content": "So you always say",
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"timestamp": "09/01/2022 22:07:35",
"content": "Distance covered in a certain direction",
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"timestamp": "09/01/2022 22:07:49",
"content": "distance does not care abt the direction tho",
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"timestamp": "09/01/2022 22:08:05",
"content": "You're going to do circular motion next which has angular displacement",
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"timestamp": "09/01/2022 22:08:16",
"content": "That's an example of where your axis/direction will be curved",
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"timestamp": "09/01/2022 22:08:20",
"content": "Yes",
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"timestamp": "09/01/2022 22:08:22",
"content": "It doesn't",
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"timestamp": "09/01/2022 22:08:29",
"content": "Distance simply means how far you travelled",
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"timestamp": "09/01/2022 22:08:37",
"content": "Why is my physics teacher teaching me these concepts in the beginning",
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"timestamp": "09/01/2022 22:08:47",
"content": "Bcz they're basica",
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"content": "Basics*",
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"timestamp": "09/01/2022 22:09:03",
"content": "So why am I not comprehending this",
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"timestamp": "09/01/2022 22:09:09",
"content": "its me im stupid",
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"timestamp": "09/01/2022 22:09:18",
"content": "You're not stupid",
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"timestamp": "09/01/2022 22:09:28",
"content": "It's common to have problems and doubts",
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"timestamp": "09/01/2022 22:09:31",
"content": "I so badly want to understand this for the love of god.",
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"timestamp": "09/01/2022 22:09:34",
"content": "That's why you learn",
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"timestamp": "09/01/2022 22:09:42",
"content": "I am stupid, because I have issues with focusing and processing concepts",
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"timestamp": "09/01/2022 22:09:48",
"content": "Have you understood so far why displacement works here though?",
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"author_name": "Nodachi",
"timestamp": "09/01/2022 22:09:50",
"content": "hence it takes me longer, I get it done, but I take longer",
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"author_name": "Nodachi",
"timestamp": "09/01/2022 22:10:02",
"content": "in the circular motion?",
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"author_id": 785338955515560000,
"author_name": "Nodachi",
"timestamp": "09/01/2022 22:10:11",
"content": "here is how I am picturizing this concept",
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"timestamp": "09/01/2022 22:10:18",
"content": "Yes",
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"author_name": "Nodachi",
"timestamp": "09/01/2022 22:10:24",
"content": "the circle has a bunch of dots with small distances beside one another",
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"timestamp": "09/01/2022 22:10:29",
"content": "Yes",
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"timestamp": "09/01/2022 22:10:31",
"content": "each dot has their own tanget line",
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"timestamp": "09/01/2022 22:10:35",
"content": "Yes",
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"id": 1015081296441126900,
"author_id": 785338955515560000,
"author_name": "Nodachi",
"timestamp": "09/01/2022 22:10:40",
"content": "and that tangent line magically represent displacement",
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"timestamp": "09/01/2022 22:10:51",
"content": "It only represents the direction",
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"id": 1015081364674060300,
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"timestamp": "09/01/2022 22:10:56",
"content": "Of displacement",
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"timestamp": "09/01/2022 22:11:02",
"content": "Not the actual displacement",
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"timestamp": "09/01/2022 22:11:25",
"content": "lets look at it this way tho",
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"timestamp": "09/01/2022 22:11:31",
"content": "Hmm",
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"timestamp": "09/01/2022 22:12:07",
"content": "",
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"timestamp": "09/01/2022 22:12:13",
"content": "It's not actually magical, it has some basis in calculus and geometry but it's all right",
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"timestamp": "09/01/2022 22:12:30",
"content": "well here is what I understand and I don't understand these concepts",
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"id": 1015081765708247000,
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"timestamp": "09/01/2022 22:12:32",
"content": "but whatever anyways",
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"id": 1015081798549651500,
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"timestamp": "09/01/2022 22:12:40",
"content": "the instantaneous velocity",
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"timestamp": "09/01/2022 22:12:50",
"content": "since its impossible to count an exact point",
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"id": 1015081860314955800,
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"timestamp": "09/01/2022 22:12:54",
"content": "velocity",
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"timestamp": "09/01/2022 22:13:24",
"content": "I estimate it through the tangent line by taking two points close to that",
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"timestamp": "09/01/2022 22:13:53",
"content": "Go on",
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"timestamp": "09/01/2022 22:14:17",
"content": "thats all ik",
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"id": 1015082238938992600,
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"timestamp": "09/01/2022 22:14:25",
"content": "he just told me the theory part behind it",
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"id": 1015082256865448000,
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"timestamp": "09/01/2022 22:14:29",
"content": "I don't understand any of this",
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"timestamp": "09/01/2022 22:14:32",
"content": "Yes that's fine",
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"timestamp": "09/01/2022 22:15:03",
"content": "But you take the points quite close to the tangent but they have to be on the circle",
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"timestamp": "09/01/2022 22:15:18",
"content": "but how do I make a reasonable",
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"timestamp": "09/01/2022 22:15:19",
"content": "estimation",
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"timestamp": "09/01/2022 22:15:20",
"content": "You do not take points on the tangent",
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"timestamp": "09/01/2022 22:15:42",
"content": "The closer your points are, to each other, the more reasonable your estimation is",
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"timestamp": "09/01/2022 22:16:17",
"content": "I see.",
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"timestamp": "09/01/2022 22:16:31",
"content": "Go as close as you want",
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"timestamp": "09/01/2022 22:16:53",
"content": "You can watch Khan Academy lol",
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"timestamp": "09/01/2022 22:16:59",
"content": "I learnt from there as well at first",
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"id": 1015082890427629700,
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"timestamp": "09/01/2022 22:17:00",
"content": "I feel so bad",
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{
"id": 1015082901496410100,
"author_id": 785338955515560000,
"author_name": "Nodachi",
"timestamp": "09/01/2022 22:17:03",
"content": "cus I feel so stupid",
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"id": 1015082929493397500,
"author_id": 785338955515560000,
"author_name": "Nodachi",
"timestamp": "09/01/2022 22:17:09",
"content": "and u are devoting so much time to an idiot like me",
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"author_name": "Deleted User",
"timestamp": "09/01/2022 22:17:10",
"content": "Don't feel bad, you're not stupid",
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"timestamp": "09/01/2022 22:17:20",
"content": "Doubts like this are common",
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},
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"id": 1015083006244954100,
"author_id": 785338955515560000,
"author_name": "Nodachi",
"timestamp": "09/01/2022 22:17:28",
"content": "I've taken 2 hours to try and figure out this doubt",
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},
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"id": 1015083020220383400,
"author_id": 785338955515560000,
"author_name": "Nodachi",
"timestamp": "09/01/2022 22:17:31",
"content": "and still don't understand.",
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},
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"id": 1015083055322501100,
"author_id": 785338955515560000,
"author_name": "Nodachi",
"timestamp": "09/01/2022 22:17:39",
"content": "I've just been re-reading my notes a crap ton of times.",
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},
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"author_name": "Nodachi",
"timestamp": "09/01/2022 22:18:06",
"content": "Did it help a lot",
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"author_name": "Deleted User",
"timestamp": "09/01/2022 22:18:08",
"content": "Calm down @Nodachi you're not stupid, try to relax, drink some coffee or whichever drink you prefer and watch a Khan academy video if you want with a calm mind",
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"author_name": "Nodachi",
"timestamp": "09/01/2022 22:18:16",
"content": "yahh. I needa eat dinner.",
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"id": 1015083222507475100,
"author_id": 785338955515560000,
"author_name": "Nodachi",
"timestamp": "09/01/2022 22:18:19",
"content": "and chill out.",
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},
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/01/2022 22:18:20",
"content": "Ok good",
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},
{
"id": 1015083233483952100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/01/2022 22:18:22",
"content": "Eat dinner",
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},
{
"id": 1015083235644014700,
"author_id": 785338955515560000,
"author_name": "Nodachi",
"timestamp": "09/01/2022 22:18:22",
"content": "I jus wanna do well.",
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},
{
"id": 1015083245056032800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/01/2022 22:18:24",
"content": "Relax",
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},
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"id": 1015083254191239200,
"author_id": 785338955515560000,
"author_name": "Nodachi",
"timestamp": "09/01/2022 22:18:27",
"content": "yah.",
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},
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/01/2022 22:18:31",
"content": "And then watch any video",
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},
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"id": 1015083305554690000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/01/2022 22:18:39",
"content": "If I could animate it for you, I would have",
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},
{
"id": 1015083318817071100,
"author_id": 785338955515560000,
"author_name": "Nodachi",
"timestamp": "09/01/2022 22:18:42",
"content": "yah. can u add me btw in case i get stuck sometimes.",
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},
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"id": 1015083348508561400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/01/2022 22:18:49",
"content": "I prefer videos for that reason",
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},
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"id": 1015083354749681700,
"author_id": 785338955515560000,
"author_name": "Nodachi",
"timestamp": "09/01/2022 22:18:51",
"content": "I really appreciate you.",
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"id": 1015083370901950500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/01/2022 22:18:54",
"content": "Sure",
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"id": 1015083376635543600,
"author_id": 785338955515560000,
"author_name": "Nodachi",
"timestamp": "09/01/2022 22:18:56",
"content": "I'm a visual learner",
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},
{
"id": 1015083380368482300,
"author_id": 785338955515560000,
"author_name": "Nodachi",
"timestamp": "09/01/2022 22:18:57",
"content": "yea",
"attachments": [],
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"reference": null
},
{
"id": 1015083403894341600,
"author_id": 785338955515560000,
"author_name": "Nodachi",
"timestamp": "09/01/2022 22:19:02",
"content": "ty.",
"attachments": [],
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},
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"id": 1015083565840605200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/01/2022 22:19:41",
"content": "I'm closing this channel now @Nodachi",
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"timestamp": "09/01/2022 22:19:48",
"content": "If you need any more help you can DM me",
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},
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"id": 1015083605380317200,
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"author_name": "Deleted User",
"timestamp": "09/01/2022 22:19:50",
"content": ",close",
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},
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"id": 1015083642017562800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/01/2022 22:19:59",
"content": ".close",
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},
{
"id": 1015083644831932400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 22:20:00",
"content": "Channel closed",
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}
] |
help-9
|
fadf922de18b4c6ebfb030d4a131c461
|
198,192 |
[
{
"id": 960361844101509200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/03/2022 22:15:06",
"content": "Available help channel!",
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},
{
"id": 960362213439324300,
"author_id": 265520530965135360,
"author_name": "sebb",
"timestamp": "04/03/2022 22:16:34",
"content": "yo",
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},
{
"id": 960362215574229000,
"author_id": 805217272087838700,
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"timestamp": "04/03/2022 22:16:34",
"content": "Pinned a message.",
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"author_id": 265520530965135360,
"author_name": "sebb",
"timestamp": "04/03/2022 22:16:53",
"content": "sorry i was busy",
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},
{
"id": 960363639074877600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/03/2022 22:22:14",
"content": "read this @sebb",
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"timestamp": "04/03/2022 22:31:53",
"content": "@sebb Has your question been resolved?",
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"timestamp": "04/03/2022 22:42:25",
"content": "what's your question--",
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},
{
"id": 960369844392456200,
"author_id": 805217272087838700,
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"timestamp": "04/03/2022 22:46:53",
"content": "Channel closed",
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}
] |
help-9
|
d2d2efbc7755479ea9ff248cb74bd8db
|
198,193 |
[
{
"id": 1015087735872176100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 22:36:15",
"content": "Available help channel!",
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},
{
"id": 1015089917245796400,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "09/01/2022 22:44:55",
"content": "how can i slove this",
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},
{
"id": 1015089919477158000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 22:44:56",
"content": "Pinned a message.",
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"content": "",
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"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "09/01/2022 22:48:57",
"content": "any vedios or resouces i can read or watch",
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},
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"timestamp": "09/01/2022 22:50:53",
"content": "check Indian solutions on Google",
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"timestamp": "09/01/2022 22:51:39",
"content": "doubtnut, toppr, Sarthaks, askiitians, etc",
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"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "09/01/2022 22:51:48",
"content": "ok thanks",
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},
{
"id": 1015091658133618700,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "09/01/2022 22:51:50",
"content": "!close",
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},
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"id": 1015091688684912600,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/01/2022 22:51:58",
"content": "wait",
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},
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"id": 1015091699241988200,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "09/01/2022 22:52:00",
"content": "ok",
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},
{
"id": 1015091710340124800,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "09/01/2022 22:52:03",
"content": "i wait",
"attachments": [],
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"reference": null
},
{
"id": 1015092173923946500,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "09/01/2022 22:53:53",
"content": "wow \nis good \ndoubtnut",
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"id": 1015092214210232300,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/01/2022 22:54:03",
"content": "@السلام عليكم I think same question not there",
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"id": 1015092258934116400,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/01/2022 22:54:14",
"content": "types of it are there",
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},
{
"id": 1015092376940843100,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/01/2022 22:54:42",
"content": "yes, but it's Indian language, so I don't know whether u can understand what they say",
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"author_name": "السلام عليكم",
"timestamp": "09/01/2022 22:55:02",
"content": "math is math",
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},
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"id": 1015092536676716700,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/01/2022 22:55:20",
"content": "yea",
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"id": 1015092545438630000,
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"timestamp": "09/01/2022 22:55:22",
"content": "cool",
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},
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"id": 1015092554271821800,
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"author_name": "Xhigma",
"timestamp": "09/01/2022 22:55:24",
"content": "ok then",
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},
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"id": 1015092565885861900,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/01/2022 22:55:27",
"content": "bye",
"attachments": [],
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},
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"id": 1015092591554998400,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "09/01/2022 22:55:33",
"content": "thanks alot",
"attachments": [],
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},
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"id": 1015092607652745200,
"author_id": 560971304036073500,
"author_name": "السلام عليكم",
"timestamp": "09/01/2022 22:55:37",
"content": ".close",
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},
{
"id": 1015092610148343900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 22:55:37",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
a6de2b6ef46b4bb2b6fc13b3cd43240a
|
198,194 |
[
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"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 22:56:37",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1015094495630610600,
"author_id": 480580972300075000,
"author_name": "Evelynn522",
"timestamp": "09/01/2022 23:03:07",
"content": "Can anyone help me with this",
"attachments": [],
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},
{
"id": 1015094497828409500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/01/2022 23:03:07",
"content": "Pinned a message.",
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"timestamp": "09/01/2022 23:04:15",
"content": ",rotate",
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},
{
"id": 1015094786149056500,
"author_id": 510789298321096700,
"author_name": "TeXit",
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"timestamp": "09/01/2022 23:19:15",
"content": "@Evelynn522 Has your question been resolved?",
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"content": "@Evelynn522 Has your question been resolved?",
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"timestamp": "09/02/2022 00:21:43",
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help-9
|
0bc9b7bad60d4ed5a2e324bb263c73a0
|
198,195 |
[
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"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 02:16:16",
"content": "Available help channel!",
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},
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"id": 1015145123136417900,
"author_id": 792427673368002600,
"author_name": "Aerith",
"timestamp": "09/02/2022 02:24:17",
"content": "what defines a greedy algorithm?\nive googled but im not entirely sure",
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},
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"content": "Pinned a message.",
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"timestamp": "09/02/2022 02:39:19",
"content": "@Aerith Has your question been resolved?",
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"id": 1015149350810292200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "09/02/2022 02:41:05",
"content": "not really a math question",
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},
{
"id": 1015149368980017200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "09/02/2022 02:41:10",
"content": "cs server is in #network",
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},
{
"id": 1015149416727986200,
"author_id": 792427673368002600,
"author_name": "Aerith",
"timestamp": "09/02/2022 02:41:21",
"content": "no one really talks there lol",
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},
{
"id": 1015149495484436500,
"author_id": 792427673368002600,
"author_name": "Aerith",
"timestamp": "09/02/2022 02:41:40",
"content": "and theres occasional cs people here so i decided to try my luck HAHAH",
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{
"id": 1015153132382195700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/02/2022 02:56:07",
"content": "a greedy algorithm is an algorithm that solves a multi-step decision problem by taking the locally optimal choice & never backtracks on its decisions",
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"id": 1015153171829641300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/02/2022 02:56:16",
"content": "to say it in a somewhat vague way",
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{
"id": 1015153180218245100,
"author_id": 317468487838728200,
"author_name": "Samsamson33",
"timestamp": "09/02/2022 02:56:18",
"content": "it solves a problem in a series of steps, and at each step makes the *locally optimal* choice (that is, the choice that brings it closest to its goal in the next step, but may not be the best overall)",
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"author_name": "Samsamson33",
"timestamp": "09/02/2022 02:56:50",
"content": "for example, if you want to make change for coins, a greedy algorithm would always give you the largest coin possible until the change is made",
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"author_name": "Samsamson33",
"timestamp": "09/02/2022 02:57:12",
"content": "but for some currency systems, that will result in more coins than necessary",
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"author_name": "Aerith",
"timestamp": "09/02/2022 02:57:52",
"content": "ah i see, so Ill have to clear on when to use a greedy algorithm",
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"author_name": "Aerith",
"timestamp": "09/02/2022 02:58:03",
"content": "cuz i think theres a lot of examples where greedy algorithms wont work well",
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"author_name": "Samsamson33",
"timestamp": "09/02/2022 02:58:47",
"content": "here's another example, courtesy of Wikipedia, in which the greedy algorithm tries and fails to find the largest node at the bottom: https://upload.wikimedia.org/wikipedia/commons/8/8c/Greedy-search-path-example.gif",
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"id": 1015153930419847300,
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"author_name": "Aerith",
"timestamp": "09/02/2022 02:59:17",
"content": "ah i see",
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"author_name": "Samsamson33",
"timestamp": "09/02/2022 02:59:28",
"content": "there are some cases in which it's optimal, though",
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},
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"author_name": "Aerith",
"timestamp": "09/02/2022 02:59:31",
"content": "wait how would we even do this? (without greedy algorithms)",
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"author_name": "Aerith",
"timestamp": "09/02/2022 02:59:43",
"content": "since the tree isnt sorted its kinda hard",
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"author_name": "Samsamson33",
"timestamp": "09/02/2022 02:59:48",
"content": "the obvious solution is to brute force the entire tree",
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"id": 1015154080735314000,
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"author_name": "Aerith",
"timestamp": "09/02/2022 02:59:53",
"content": "yes",
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"id": 1015154093616025600,
"author_id": 317468487838728200,
"author_name": "Samsamson33",
"timestamp": "09/02/2022 02:59:56",
"content": "just look through every node",
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},
{
"id": 1015154109231411200,
"author_id": 792427673368002600,
"author_name": "Aerith",
"timestamp": "09/02/2022 03:00:00",
"content": "would there be a better way though?",
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},
{
"id": 1015154156408942600,
"author_id": 317468487838728200,
"author_name": "Samsamson33",
"timestamp": "09/02/2022 03:00:11",
"content": "not without more information on the tree",
"attachments": [],
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},
{
"id": 1015154190923862100,
"author_id": 792427673368002600,
"author_name": "Aerith",
"timestamp": "09/02/2022 03:00:19",
"content": "i see",
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},
{
"id": 1015154221684887700,
"author_id": 792427673368002600,
"author_name": "Aerith",
"timestamp": "09/02/2022 03:00:27",
"content": "okay i understand thank u!!",
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},
{
"id": 1015154230807511000,
"author_id": 792427673368002600,
"author_name": "Aerith",
"timestamp": "09/02/2022 03:00:29",
"content": ":eeveeKawaii:",
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"author_name": "Samsamson33",
"timestamp": "09/02/2022 03:00:31",
"content": "np!",
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"id": 1015154260993916900,
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"author_name": "Aerith",
"timestamp": "09/02/2022 03:00:36",
"content": ".close",
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},
{
"id": 1015154263791521800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 03:00:37",
"content": "Channel closed",
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}
] |
help-9
|
af751b7d4e5b4379bc50c3410ec7298f
|
198,196 |
[
{
"id": 1015154515781111800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 03:01:37",
"content": "Available help channel!",
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},
{
"id": 1015156313694687400,
"author_id": 852595755302912000,
"author_name": "YoursTruly",
"timestamp": "09/02/2022 03:08:45",
"content": "Does the term \"regular pyramid\" always refer to a pyramid with a triangular base?",
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"content": "Pinned a message.",
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"id": 1015157468164259800,
"author_id": 349552552385314800,
"author_name": "Al3dium",
"timestamp": "09/02/2022 03:13:21",
"content": "not necessarily, it is just a pyramid which base is a regular polygon",
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},
{
"id": 1015157542512509000,
"author_id": 349552552385314800,
"author_name": "Al3dium",
"timestamp": "09/02/2022 03:13:38",
"content": "and the center D falls perpendicular to the base in it's center",
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"timestamp": "09/02/2022 03:23:46",
"content": "@YoursTruly Has your question been resolved?",
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"author_name": "YoursTruly",
"timestamp": "09/02/2022 03:25:37",
"content": "I see. Thank you for your time and assistance.",
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},
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"timestamp": "09/02/2022 03:25:39",
"content": "Channel closed",
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}
] |
help-9
|
a34f5d5c3b1e4464b630e15c47f1ecc5
|
198,197 |
[
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"timestamp": "09/02/2022 03:26:39",
"content": "Available help channel!",
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{
"id": 1015170531810623500,
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"timestamp": "09/02/2022 04:05:18",
"content": "Did i miss any factors",
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"timestamp": "09/02/2022 04:20:19",
"content": "@Furry Has your question been resolved?",
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"content": "Channel closed",
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help-9
|
9e8ac4df47534a60b9425c07d5de4b7c
|
198,198 |
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"timestamp": "09/02/2022 04:20:40",
"content": "Aint letting the world see my crap handwriting",
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"timestamp": "09/02/2022 04:20:45",
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{
"id": 1015184088321249300,
"author_id": 289701555991740400,
"author_name": "Mezza",
"timestamp": "09/02/2022 04:59:07",
"content": "I need some help with this physics question. I think it’s more related to maths, so I’ll post it here",
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"content": "Pinned a message.",
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"id": 1015184999651225600,
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"timestamp": "09/02/2022 05:02:45",
"content": "G = 6.67x10^-11",
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"id": 1015185046057005000,
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"content": "M = 5.98x10^24",
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"timestamp": "09/02/2022 05:03:11",
"content": "r = 6.37x10^6",
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"id": 1015186505448296400,
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"timestamp": "09/02/2022 05:08:44",
"content": "Solved it I didn’t need the values anyway",
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"content": ".close",
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"content": "Channel closed",
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] |
help-9
|
28460c0c7cdd43b598e71c5b8ebafaf1
|
198,199 |
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"content": "Available help channel!",
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"id": 1015196662936907800,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "09/02/2022 05:49:05",
"content": "note that a median always cuts a triangle's area in two halves, then using similar triangles should get you somewhere",
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"timestamp": "09/02/2022 05:51:33",
"content": "Yeah, I solved it, thanks!",
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"timestamp": "09/02/2022 05:51:35",
"content": ".close",
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"timestamp": "09/02/2022 05:51:36",
"content": "Channel closed",
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}
] |
help-9
|
bd972ad196614304a256a404b4b1280f
|
198,200 |
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"timestamp": "09/02/2022 06:34:31",
"content": "Available help channel!",
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"id": 1015208861717762000,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "09/02/2022 06:37:34",
"content": "how do i approach this problem",
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"content": "Pinned a message.",
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"author_name": "divyansh",
"timestamp": "09/02/2022 06:48:04",
"content": "hmm nice question",
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"timestamp": "09/02/2022 06:53:04",
"content": "@Lvn Has your question been resolved?",
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"timestamp": "09/02/2022 06:59:58",
"content": "any progress",
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"content": "nah 😔",
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"content": "lol u just given only 2 things about g",
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"content": "there is notiing u can extract more from these 2",
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"content": "ig",
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"timestamp": "09/02/2022 07:02:47",
"content": "ig we should assume g(x) some func maybe",
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"timestamp": "09/02/2022 07:09:05",
"content": "i think that could work, lets say we assume gx=ksin^2x then maximum of gx would be k, we can find k by solving the integral",
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"timestamp": "09/02/2022 07:09:09",
"content": "ill try",
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"content": "i got k=4",
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"timestamp": "09/02/2022 07:15:00",
"content": "@divyansh oh wow 4 is the right answer 💀",
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"content": "lmfaoo",
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"content": "how u thought that gx should be ksin^2x",
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"content": "brh it was like half a page integral and i didnt even double check",
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"content": "i just assumed",
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"content": "lol",
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"timestamp": "09/02/2022 07:16:47",
"content": "this question was stupid",
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"content": "bruh",
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"timestamp": "09/02/2022 07:17:03",
"content": "idk was my method right by assume gx=ksin^2x",
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"timestamp": "09/02/2022 07:17:49",
"content": "i think it should be cause it satisfies everything in the given problem",
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"timestamp": "09/02/2022 07:17:56",
"content": "well thanks anyways",
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"timestamp": "09/02/2022 07:17:58",
"content": ".close",
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},
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"id": 1015219030505832600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 07:17:58",
"content": "Channel closed",
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] |
help-9
|
895347118c3d425aa2fe34949023119e
|
198,201 |
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"id": 1015224972811182100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 07:41:35",
"content": "Available help channel!",
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"author_name": "eyesawk6",
"timestamp": "09/02/2022 07:52:25",
"content": "If the identity matches it, it'd be 1/1/(CosA)(SinA) = (CosA)(SinA).\n\nIf we solve it, won't it be :-\n\n= 1 = CosA SinA = CosA SinA.\n\nWhat role does the 1 play? Can I count it?>",
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"content": "Pinned a message.",
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"author_name": "iCaird",
"timestamp": "09/02/2022 08:03:49",
"content": "Solve what?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 08:08:49",
"content": "@eyesawk6 Has your question been resolved?",
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"author_name": "eyesawk6",
"timestamp": "09/02/2022 08:08:56",
"content": "I just want to know what would the result be?",
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"timestamp": "09/02/2022 08:11:01",
"content": "There's no equation here",
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},
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"id": 1015232473858310300,
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"timestamp": "09/02/2022 08:11:23",
"content": "Oh, if the identity matches it",
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"timestamp": "09/02/2022 08:12:24",
"content": "So it'll be \n\n1 = CosA SinA = CosA SinA",
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"timestamp": "09/02/2022 08:12:30",
"content": "I'm basically trying to prove it.",
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"author_name": "eyesawk6",
"timestamp": "09/02/2022 08:12:34",
"content": "Using the given identities.",
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"timestamp": "09/02/2022 08:13:10",
"content": "There are no real solutions to that",
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"timestamp": "09/02/2022 08:14:45",
"content": "chochan here",
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"author_name": "Xhigma",
"timestamp": "09/02/2022 08:14:51",
"content": "what you want help?",
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"author_name": "Xhigma",
"timestamp": "09/02/2022 08:15:16",
"content": "1 is not Cos A Sin A, how did you get that??",
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"author_name": "iCaird",
"timestamp": "09/02/2022 08:19:33",
"content": "Just plug in any value of A to see its not true",
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"timestamp": "09/02/2022 08:20:24",
"content": "",
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"timestamp": "09/02/2022 08:21:22",
"content": "that's cosAsin A= cos ASinA",
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"timestamp": "09/02/2022 08:21:24",
"content": "not 1",
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},
{
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"author_name": "eyesawk6",
"timestamp": "09/02/2022 08:22:05",
"content": "I tried to look for an answer elsewhere.",
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"timestamp": "09/02/2022 08:22:21",
"content": "that's what I told",
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"id": 1015235317026017300,
"author_id": 778932185210028000,
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"timestamp": "09/02/2022 08:22:41",
"content": "1/ 1/sinA cos A= sinA cos A",
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"timestamp": "09/02/2022 08:22:59",
"content": "reciprocal of denominator = numerator",
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"timestamp": "09/02/2022 08:23:18",
"content": "Do not understand it.",
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"timestamp": "09/02/2022 08:23:21",
"content": "You've already finished the question",
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"timestamp": "09/02/2022 08:23:24",
"content": "yea",
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"timestamp": "09/02/2022 08:23:29",
"content": "what's the doubt lol",
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"timestamp": "09/02/2022 08:23:37",
"content": "I did not finish it.",
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"timestamp": "09/02/2022 08:23:49",
"content": "I looked for it, on the internet.",
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"timestamp": "09/02/2022 08:24:18",
"content": "Okay so what don't you understand here",
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"timestamp": "09/02/2022 08:25:00",
"content": "This step.",
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"timestamp": "09/02/2022 08:25:09",
"content": "Won't it be 1 = SinACosA.",
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"timestamp": "09/02/2022 08:25:35",
"content": "Basically trying to prove LHS=RHS",
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"timestamp": "09/02/2022 08:26:13",
"content": "You started with LHS, the big fraction expression, and ended up with 1/(1/(cosAsinA))",
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"timestamp": "09/02/2022 08:26:19",
"content": "Using the pythagorean identity",
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"timestamp": "09/02/2022 08:26:30",
"content": "And this is just cosAsinA = RHS",
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"timestamp": "09/02/2022 08:27:01",
"content": "Where did the \"1\" go?",
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"id": 1015236512318758900,
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"timestamp": "09/02/2022 08:27:26",
"content": "Which 1?",
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"timestamp": "09/02/2022 08:28:05",
"content": "$\\frac{1}{\\frac{1}{x}}=x$",
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"author_name": "TeXit",
"timestamp": "09/02/2022 08:28:08",
"content": "**ΣAC**",
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"timestamp": "09/02/2022 08:28:24",
"content": "Lord slap me thrice.",
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},
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"timestamp": "09/02/2022 08:28:51",
"content": "So I can kill the 1/1",
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"content": "✋",
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"content": "🖐️",
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"content": "Ig sure",
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"content": "done thrice",
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"timestamp": "09/02/2022 08:29:20",
"content": "That'd make it 5",
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"content": "wha",
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"timestamp": "09/02/2022 08:29:54",
"content": "Thank you sir.",
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"content": ".close",
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"content": "Channel closed",
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] |
help-9
|
33d4b89eef904997a39dc37c277fe447
|
198,202 |
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"id": 1015237279461159000,
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"timestamp": "09/02/2022 08:30:29",
"content": "I meant reciprocal of x means 1/x",
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"id": 1015251869515382900,
"author_id": 287102775605592060,
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"timestamp": "09/02/2022 09:28:28",
"content": "Sorry for the ez question whats -2^2",
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"timestamp": "09/02/2022 09:28:28",
"content": "Pinned a message.",
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"content": "@jmay107 4",
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"id": 1015252064332419100,
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"content": "no",
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"id": 1015252108716552200,
"author_id": 925214259774890100,
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"timestamp": "09/02/2022 09:29:25",
"content": "what",
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"id": 1015252175439536300,
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"timestamp": "09/02/2022 09:29:41",
"content": "-2*-2",
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"id": 1015252196427841500,
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"author_name": "otherworlds123",
"timestamp": "09/02/2022 09:29:46",
"content": "4 right",
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},
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"id": 1015252305127428100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "09/02/2022 09:30:12",
"content": "-2*-2 is indeed 4,\nbut that isn't what's being asked",
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},
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"id": 1015252483326627800,
"author_id": 925214259774890100,
"author_name": "otherworlds123",
"timestamp": "09/02/2022 09:30:54",
"content": "isnt -2^2, -2 multiplied by itself twce",
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"id": 1015252498728091600,
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"timestamp": "09/02/2022 09:30:58",
"content": "4",
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"id": 1015252501819314300,
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"content": "no",
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"id": 1015252566541615200,
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"timestamp": "09/02/2022 09:31:14",
"content": "mfw",
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"id": 1015252583985713200,
"author_id": 925214259774890100,
"author_name": "otherworlds123",
"timestamp": "09/02/2022 09:31:18",
"content": "how",
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"author_id": 287102775605592060,
"author_name": "jmay107",
"timestamp": "09/02/2022 09:31:29",
"content": "ya my answer came out wrong",
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"id": 1015252816073334800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "09/02/2022 09:32:13",
"content": "don't disregard the order of operations",
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"id": 1015253060878078000,
"author_id": 925214259774890100,
"author_name": "otherworlds123",
"timestamp": "09/02/2022 09:33:12",
"content": "right",
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"author_name": "jmay107",
"timestamp": "09/02/2022 09:34:22",
"content": "ok so.... 1^2-(-3)^2 / 1-(-3)... this doesnt equate to -2?",
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"id": 1015253512743047300,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "09/02/2022 09:34:59",
"content": "based on exactly what's written, no",
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"id": 1015253622696714400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "09/02/2022 09:35:26",
"content": ",w 1^2-(-3)^2 / 1-(-3)",
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},
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"id": 1015253631542509700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/02/2022 09:35:28",
"content": "Results provided by WolframAlpha",
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},
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"id": 1015253946312429700,
"author_id": 287102775605592060,
"author_name": "jmay107",
"timestamp": "09/02/2022 09:36:43",
"content": "sorry if i took over an occupied channel, i meant to type my OG post into Available..",
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},
{
"id": 1015254028021682200,
"author_id": 287102775605592060,
"author_name": "jmay107",
"timestamp": "09/02/2022 09:37:02",
"content": "For the function shown in the figure below, find the average rate of change from (-3,13) to (1,-3)",
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"author_name": "ramonov",
"timestamp": "09/02/2022 09:37:13",
"content": "well this channel has your name on it",
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"id": 1015254381001707500,
"author_id": 925214259774890100,
"author_name": "otherworlds123",
"timestamp": "09/02/2022 09:38:26",
"content": "his OG question was in my channel",
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"id": 1015255113138454500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "09/02/2022 09:41:21",
"content": "i don't know what you were applying to get\n> ok so.... 1^2-(-3)^2 / 1-(-3)",
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"id": 1015255199172001800,
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"author_name": "ramonov",
"timestamp": "09/02/2022 09:41:42",
"content": "if\n> For the function shown in the figure below, find the average rate of change from (-3,13) to (1,-3)\nis the original question\nall you really need is the slope between those two points",
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"timestamp": "09/02/2022 09:52:03",
"content": "@jmay107 Has your question been resolved?",
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"timestamp": "09/02/2022 10:07:03",
"content": "Channel closed",
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}
] |
help-9
|
46d4b4b4eb10450c9d3da53c7ac4c55e
|
198,203 |
[
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"timestamp": "04/03/2022 22:47:54",
"content": "Available help channel!",
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},
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"id": 960372390796345300,
"author_id": 172302891166466050,
"author_name": "SaudiQuirk",
"timestamp": "04/03/2022 22:57:00",
"content": "Hey",
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"content": "Pinned a message.",
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"author_name": "SaudiQuirk",
"timestamp": "04/03/2022 22:57:55",
"content": "How do i solve this",
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},
{
"id": 960373468220768300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/03/2022 23:01:17",
"content": "And don't ping people either or ask people to help you. You just post your question and wait patiently for help",
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"timestamp": "04/03/2022 23:01:43",
"content": "Ok",
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},
{
"id": 960374617241944000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/03/2022 23:05:51",
"content": "Did you try anything?",
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},
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"id": 960374688977146000,
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"author_name": "SaudiQuirk",
"timestamp": "04/03/2022 23:06:08",
"content": "Wdym",
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"id": 960374743847043100,
"author_id": 172302891166466050,
"author_name": "SaudiQuirk",
"timestamp": "04/03/2022 23:06:21",
"content": "I don’t know the steps to solving it really",
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},
{
"id": 960374760548729000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/03/2022 23:06:25",
"content": "It means what it means, did you try anything?",
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},
{
"id": 960374796602982400,
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"author_name": "SaudiQuirk",
"timestamp": "04/03/2022 23:06:34",
"content": "if you could explain that would be good",
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},
{
"id": 960374917352792000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/03/2022 23:07:03",
"content": "Do you know the equation of a circle?",
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"id": 960374945991524400,
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"timestamp": "04/03/2022 23:07:10",
"content": "Yes",
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},
{
"id": 960375014702604300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/03/2022 23:07:26",
"content": "And that equation is?",
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},
{
"id": 960375158445580300,
"author_id": 172302891166466050,
"author_name": "SaudiQuirk",
"timestamp": "04/03/2022 23:08:00",
"content": "Tbh i forgot it but i think it’s",
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},
{
"id": 960375283410690000,
"author_id": 172302891166466050,
"author_name": "SaudiQuirk",
"timestamp": "04/03/2022 23:08:30",
"content": "( x - a) 2 + ( y - b ) 2 =r 2",
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},
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"id": 960375521634558000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/03/2022 23:09:27",
"content": "Why is there two equal signs?",
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},
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"id": 960375866263740400,
"author_id": 289701555991740400,
"author_name": "Mezza",
"timestamp": "04/03/2022 23:10:49",
"content": "General form for a circle is (x-a)^2 + (y-b)^2 = r^2",
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},
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"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/03/2022 23:10:58",
"content": "Wasn't asking you",
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"id": 960375911906152400,
"author_id": 172302891166466050,
"author_name": "SaudiQuirk",
"timestamp": "04/03/2022 23:11:00",
"content": "Supposed to be a plus sign i mistyped",
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},
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"id": 960375942008676400,
"author_id": 172302891166466050,
"author_name": "SaudiQuirk",
"timestamp": "04/03/2022 23:11:07",
"content": "👍🏻",
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"id": 960376019582341200,
"author_id": 289701555991740400,
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"timestamp": "04/03/2022 23:11:25",
"content": "Oh I thought anyone was allowed to help my bad",
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"timestamp": "04/03/2022 23:11:32",
"content": "What’s the problem bro",
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"timestamp": "04/03/2022 23:11:36",
"content": "let him help",
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},
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"timestamp": "04/03/2022 23:11:46",
"content": "Anyone can help but that question was not directed to you",
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"timestamp": "04/03/2022 23:11:49",
"content": "Dw you could help",
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"content": "Damn bro you’re so toxic",
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"timestamp": "04/03/2022 23:12:02",
"content": "I was asking quirk to see if they knew the equation or not",
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"timestamp": "04/03/2022 23:12:07",
"content": "Yeah sorry",
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"content": "i don’t mind him answering",
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"timestamp": "04/03/2022 23:12:42",
"content": "What is the radius? Using the given equation in the problem",
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"timestamp": "04/03/2022 23:13:04",
"content": "Do you know how to solve that question? If yes can you help",
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"content": "Idk",
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"content": "Don't care. I wasn't asking the peanut gallery, it was directed to you so I'm not expecting anyone else except for you to answer",
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"timestamp": "04/03/2022 23:13:33",
"content": "that’s why i’m asking for help",
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"timestamp": "04/03/2022 23:13:40",
"content": "Ok",
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"timestamp": "04/03/2022 23:13:48",
"content": "And I'm trying to teach you how to do it",
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"timestamp": "04/03/2022 23:14:06",
"content": "All he did wrong was type an = instead of a + so I was correcting him",
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"timestamp": "04/03/2022 23:14:14",
"content": "Thanks",
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"timestamp": "04/03/2022 23:14:42",
"content": "If you're given x^2 + y^2 = 36, and the general form is (x-a)^2 + (y-b)^2 = r^2, what is r^2 equal to?",
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"timestamp": "04/03/2022 23:15:12",
"content": "I know, I was trying to let the person point of the mistake and fix it on their own",
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"timestamp": "04/03/2022 23:16:26",
"content": "They fixed it before I even sent the message anyway",
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"timestamp": "04/03/2022 23:16:34",
"content": "But yeah I’m sorry like I said",
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"timestamp": "04/03/2022 23:17:34",
"content": "Will not happen again good sir",
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"timestamp": "04/03/2022 23:18:02",
"content": "@SaudiQuirk If you're given x^2 + y^2 = 36, and the general form is (x-a)^2 + (y-b)^2 = r^2, what is r^2 equal to?",
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"timestamp": "04/03/2022 23:19:28",
"content": "i don’t know how to calculate it",
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"timestamp": "04/03/2022 23:19:33",
"content": "can you help",
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"timestamp": "04/03/2022 23:19:54",
"content": "I wasn't asking you to calculate anything yet",
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"timestamp": "04/03/2022 23:20:16",
"content": "I'm asking you to compare your given equation, in the problem, and the general form",
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"timestamp": "04/03/2022 23:20:21",
"content": "I know",
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"content": "I don’t know how to use the general form",
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"timestamp": "04/03/2022 23:20:33",
"content": "can you explain",
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"timestamp": "04/03/2022 23:20:39",
"content": "You're comparing the two",
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"timestamp": "04/03/2022 23:20:44",
"content": "ok",
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"timestamp": "04/03/2022 23:21:10",
"content": "x^2 + y^2 = 36\n(x-a)^2 + (y-b)^2 = r^2\nThey look similar, right?",
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"timestamp": "04/03/2022 23:21:16",
"content": "Yes",
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"timestamp": "04/03/2022 23:21:24",
"content": "how do i solve it",
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"timestamp": "04/03/2022 23:21:38",
"content": "So as I asked, what is r^2 equal to?",
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"timestamp": "04/03/2022 23:23:27",
"content": "36",
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"timestamp": "04/03/2022 23:23:32",
"content": "yes",
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"timestamp": "04/03/2022 23:24:09",
"content": "If r^2 = 36, then what is r equal to?",
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"content": "6",
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"timestamp": "04/03/2022 23:27:26",
"content": "R stands for radius, correct?",
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"timestamp": "04/03/2022 23:28:01",
"content": "Yes",
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"content": "correct",
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"timestamp": "04/03/2022 23:28:56",
"content": "You really don't have to reply to every one of my messages",
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"timestamp": "04/03/2022 23:29:37",
"content": "So if the radius is 6, what options do you have left?",
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"timestamp": "04/03/2022 23:31:56",
"content": "B and a",
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"timestamp": "04/03/2022 23:32:23",
"content": "Now what does line of symmetry mean?",
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"timestamp": "04/03/2022 23:34:43",
"content": "The line that passes through the center",
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"timestamp": "04/03/2022 23:35:30",
"content": "Not exactly",
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"timestamp": "04/03/2022 23:39:21",
"content": "Ok can you explain",
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"timestamp": "04/03/2022 23:39:41",
"content": "Please",
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"timestamp": "04/03/2022 23:40:12",
"content": "`The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.`",
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"timestamp": "04/03/2022 23:40:17",
"content": "Ok",
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"timestamp": "04/03/2022 23:40:53",
"content": "so why is the answer lines of symmetry it’s because they’re equal right?",
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"timestamp": "04/03/2022 23:41:10",
"content": "they’re all 6",
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"timestamp": "04/03/2022 23:41:22",
"content": "What?",
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"timestamp": "04/03/2022 23:41:28",
"content": "R=6",
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"timestamp": "04/03/2022 23:41:51",
"content": "Is that why the answer is y and x are lines of symmetry",
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"timestamp": "04/03/2022 23:42:09",
"content": "Not exactly",
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"timestamp": "04/03/2022 23:42:24",
"content": "How many lines of symmetry does a circle have?",
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"timestamp": "04/03/2022 23:42:33",
"content": "2",
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"timestamp": "04/03/2022 23:42:41",
"content": "Not exactly",
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"timestamp": "04/03/2022 23:42:49",
"content": "y and x are both 6",
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"timestamp": "04/03/2022 23:42:58",
"content": "Is that why they’re both lines of symmetry?",
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"timestamp": "04/03/2022 23:43:06",
"content": "can you please explain",
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"timestamp": "04/03/2022 23:43:17",
"content": "Line of symmetry has nothing to do with r = 6",
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"timestamp": "04/03/2022 23:43:22",
"content": "Then what?",
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"timestamp": "04/03/2022 23:43:35",
"content": "The r = 6 was used so you can identify which graphs you have",
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"timestamp": "04/03/2022 23:43:38",
"content": "Y and x are lines of symmetry",
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"timestamp": "04/03/2022 23:43:46",
"content": "because they’re 6",
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"timestamp": "04/03/2022 23:43:57",
"content": "Then what?",
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"timestamp": "04/03/2022 23:44:06",
"content": "Why is the answer b",
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"timestamp": "04/03/2022 23:44:32",
"content": "As stated, line of symmetry is an imaginary line that passes through the center of the shape that divides it into identical halves",
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"content": "Ok bro i get that",
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"content": "why is x and y lines of symmetry?",
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"content": "You're only focusing on just these two",
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"content": "It's a circle",
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"timestamp": "04/03/2022 23:45:48",
"content": "Thanks fir helping",
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"content": "For*",
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"content": "Does this split the circle equal in two halves?",
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"content": "What about this question?",
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"content": "Fyi, it wasn't B",
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"content": "the answer isn’t b?",
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"content": "It’s A?",
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"timestamp": "04/03/2022 23:47:17",
"content": "Or this",
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"timestamp": "04/03/2022 23:47:57",
"content": "Meaning that the circle has more lines of symmetry than just the x and y axis",
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"timestamp": "04/03/2022 23:48:05",
"content": "I’m done with that question. Can you help me with this",
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"timestamp": "04/03/2022 23:48:19",
"content": "So the answer isn’t B?",
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"timestamp": "04/03/2022 23:48:42",
"content": ".",
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"timestamp": "04/03/2022 23:48:47",
"content": "it’s A?",
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"timestamp": "04/03/2022 23:48:54",
"content": "but our teacher said it was B",
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"content": "B i meant",
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"content": "It should be A, a circle has infinitely many lines of symmetry",
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"timestamp": "04/03/2022 23:53:01",
"content": "Can you help me with this question",
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"timestamp": "04/03/2022 23:53:05",
"content": "Quickly",
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"timestamp": "04/03/2022 23:53:17",
"content": "Why quickly?",
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"author_id": 172302891166466050,
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"timestamp": "04/03/2022 23:53:42",
"content": "For saving time",
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"author_name": "dldh06",
"timestamp": "04/03/2022 23:57:33",
"content": "Do you know what domain and range are?",
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"timestamp": "04/03/2022 23:59:25",
"content": "Then perhaps look into that",
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"timestamp": "04/04/2022 00:02:25",
"content": "Fuck you bro. I could’ve used this time to go on mathway and learn how to solve them but i wasted my time with you",
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"content": "The question asks for domain and range, you said you don't know what that is so I'm stating that you should looking into that",
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"timestamp": "04/04/2022 00:04:17",
"content": "Because I don't have to look up every single definition for you",
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"timestamp": "04/04/2022 00:04:23",
"content": "Just fuck off bro",
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"timestamp": "04/04/2022 00:04:30",
"content": "you’re toxic",
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"timestamp": "04/04/2022 00:04:35",
"content": "like you can’t even help bro",
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"timestamp": "04/04/2022 00:04:39",
"content": "Why tf are you here",
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"timestamp": "04/04/2022 00:04:43",
"content": "If you don’t want to help",
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"timestamp": "04/04/2022 00:04:51",
"content": "I did help",
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"timestamp": "04/04/2022 00:04:54",
"content": "nah bro",
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"timestamp": "04/04/2022 00:04:58",
"content": "It took you an hour",
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"timestamp": "04/04/2022 00:05:09",
"content": "For one question",
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"timestamp": "04/04/2022 00:05:12",
"content": "It's called being busy too",
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"timestamp": "04/04/2022 00:05:25",
"content": "then you should’ve fucked off at the first minute lol",
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"timestamp": "04/04/2022 00:05:29",
"content": "Instead of wasting my time",
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"timestamp": "04/04/2022 00:05:31",
"content": "and your time",
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"timestamp": "04/04/2022 00:05:41",
"content": "You asked for help, I came to assist you",
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"timestamp": "04/04/2022 00:05:46",
"content": "like you should’ve told me to go on wolfram or something to see the steps",
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"timestamp": "04/04/2022 00:06:01",
"content": "the problem is my credit card isn’t working rn that’s why i’m here",
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"timestamp": "04/04/2022 00:06:42",
"content": "you shouldn’t have been close minded",
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"author_name": "dldh06",
"timestamp": "04/04/2022 00:08:29",
"content": "Well, I was trying to teach you and not give you the full explanation, because you should learn",
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"timestamp": "04/04/2022 00:08:58",
"content": "Fucking man is arrogant",
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{
"id": 960390555223883900,
"author_id": 172302891166466050,
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"timestamp": "04/04/2022 00:09:11",
"content": "Thinks he’s a mastermind",
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{
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"timestamp": "04/04/2022 00:09:12",
"content": "Wtf",
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"timestamp": "04/04/2022 00:09:32",
"content": "Never said any of that",
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"timestamp": "04/04/2022 00:09:33",
"content": "bro you’re nothing lol",
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"timestamp": "04/04/2022 00:09:52",
"content": "I could easily learn maths and come here to help people with ease unlike you",
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"author_name": "dldh06",
"timestamp": "04/04/2022 00:10:25",
"content": "I am helping people",
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{
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"timestamp": "04/04/2022 00:10:42",
"content": "If you don't like this teaching method, then tbh, this server isn't for you",
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"timestamp": "04/04/2022 00:10:51",
"content": "You’re wasting people’s time with your ignorance and arrogance",
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"author_name": "SaudiQuirk",
"timestamp": "04/04/2022 00:10:54",
"content": "Don’t cry though",
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"id": 960391077901246600,
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"timestamp": "04/04/2022 00:11:16",
"content": "It’s ok",
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{
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"timestamp": "04/04/2022 00:11:16",
"content": "Like you can hurt my feelings",
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{
"id": 960391097287323600,
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"author_name": "SaudiQuirk",
"timestamp": "04/04/2022 00:11:20",
"content": "i know how it feels",
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{
"id": 960391167336394800,
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"timestamp": "04/04/2022 00:11:37",
"content": "you’re probably old and you have a 9 year old’s brain or you’re 9",
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"timestamp": "04/04/2022 00:12:05",
"content": "Like dude just fucking get to the point",
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"timestamp": "04/04/2022 00:12:13",
"content": "stop fucking about lol",
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"author_name": "dldh06",
"timestamp": "04/04/2022 00:12:23",
"content": "Like dude, I'm trying to help you learn",
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"author_name": "SaudiQuirk",
"timestamp": "04/04/2022 00:12:37",
"content": "i’d rather not get help from someone like u lol",
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{
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"timestamp": "04/04/2022 00:12:59",
"content": "Fam i went to another server",
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"timestamp": "04/04/2022 00:13:02",
"content": "And he helped me alr",
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"timestamp": "04/04/2022 00:13:07",
"content": "just go away im done",
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"author_name": "SaudiQuirk",
"timestamp": "04/04/2022 00:13:12",
"content": "thx",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 960391737220685800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/04/2022 00:13:53",
"content": "Then you wouldn't like getting help from others because that's how people teach here, they engage with others instead of giving you the step by step solutions",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 960391917831598100,
"author_id": 172302891166466050,
"author_name": "SaudiQuirk",
"timestamp": "04/04/2022 00:14:36",
"content": "Nah bruh 😹 i got help from other humble people unlike you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 960391931018502100,
"author_id": 582219492231348200,
"author_name": "FeIix",
"timestamp": "04/04/2022 00:14:39",
"content": "@Moderators rule 4 break by quirk?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 960392000140636200,
"author_id": 172302891166466050,
"author_name": "SaudiQuirk",
"timestamp": "04/04/2022 00:14:56",
"content": "that’s why you’re sad because you don’t like helping other people. You’re ignorant",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 960392128377270300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/04/2022 00:15:26",
"content": "I enjoy helping people, why do you think I'm here?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 960392148719644700,
"author_id": 582219492231348200,
"author_name": "FeIix",
"timestamp": "04/04/2022 00:15:31",
"content": "Quirk, you're bring very rude when dldh06 is just trying to help you in a polite way",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 960392213353881600,
"author_id": 172302891166466050,
"author_name": "SaudiQuirk",
"timestamp": "04/04/2022 00:15:46",
"content": "bro you’re having a hard time because of this dumb attitude you have",
"attachments": [],
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{
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},
{
"id": 960392321579495400,
"author_id": 172302891166466050,
"author_name": "SaudiQuirk",
"timestamp": "04/04/2022 00:16:12",
"content": "If you were somewhat humble you would probably get somewhere in life",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 960392407717924900,
"author_id": 172302891166466050,
"author_name": "SaudiQuirk",
"timestamp": "04/04/2022 00:16:33",
"content": "but you can’t because you maybe ignorant or arrogant",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 960392435614228500,
"author_id": 172302891166466050,
"author_name": "SaudiQuirk",
"timestamp": "04/04/2022 00:16:39",
"content": "don’t cry tho. Thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 960392667034972200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/04/2022 00:17:35",
"content": "I am somewhere in life, with a finished education and a full time job",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 960392704691433500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/04/2022 00:17:44",
"content": "get dat paper",
"attachments": [],
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"id": 960392721468624900,
"author_id": 467435887236612100,
"author_name": "Edd",
"timestamp": "04/04/2022 00:17:48",
"content": "taken care of",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 960392736920461300,
"author_id": 467435887236612100,
"author_name": "Edd",
"timestamp": "04/04/2022 00:17:51",
"content": ".close",
"attachments": [],
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},
{
"id": 960392738740789200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/04/2022 00:17:52",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
db7678f59a754760bc0d6eb1f444cdba
|
198,204 |
[
{
"id": 1015269652944928800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 10:39:08",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015272473371099100,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "09/02/2022 10:50:20",
"content": "q is 1/8 ? and how can i find p",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1015272473077489866/unknown.png",
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"id": 1015272476332277900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 10:50:21",
"content": "Pinned a message.",
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}
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{
"id": 1015273644676616200,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/02/2022 10:54:59",
"content": "@Lvn yo",
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},
{
"id": 1015273784531484800,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "09/02/2022 10:55:33",
"content": "hi",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015274400339206300,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/02/2022 10:57:59",
"content": "@Lvn did you start it",
"attachments": [],
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{
"id": 714349425018929300,
"name": "Lvn",
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}
],
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},
{
"id": 1015274583538028500,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/02/2022 10:58:43",
"content": "can u send how you got q",
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{
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{
"id": 1015274802094813200,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "09/02/2022 10:59:35",
"content": "r/n=x, integral x^7 from 0 to 1 is 1/8",
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},
{
"id": 1015274951000981500,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "09/02/2022 11:00:11",
"content": "in p there's an extra 1/n term idk how can i calculate the sum",
"attachments": [],
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"reference": null
},
{
"id": 1015275131259588700,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "09/02/2022 11:00:54",
"content": "oh ig p is 0 then",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015275183923281900,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "09/02/2022 11:01:06",
"content": ".close",
"attachments": [],
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},
{
"id": 1015275186762825700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 11:01:07",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
ca438ae4d38e46c1862a6dd975b667f6
|
198,205 |
[
{
"id": 1015275296913621000,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/02/2022 11:01:33",
"content": ".reopen",
"attachments": [],
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},
{
"id": 1015275346813259900,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/02/2022 11:01:45",
"content": "yes",
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"id": 1015275438945341400,
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"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 11:02:07",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015275439360577700,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "09/02/2022 11:02:07",
"content": "is there any doubt?",
"attachments": [],
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},
{
"id": 1015275441298354300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 11:02:08",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1015275493110599800,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/02/2022 11:02:20",
"content": "how 0",
"attachments": [],
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},
{
"id": 1015275549628825700,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "09/02/2022 11:02:33",
"content": "cuz 1/inf=0",
"attachments": [],
"mentions": [],
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},
{
"id": 1015275579643285500,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "09/02/2022 11:02:41",
"content": "it has an extra 1/n term",
"attachments": [],
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},
{
"id": 1015275612111376400,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/02/2022 11:02:48",
"content": "1/n integral x^3 from 0 to 1",
"attachments": [],
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},
{
"id": 1015275673784422500,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/02/2022 11:03:03",
"content": "oh ok n infinity so P = 0",
"attachments": [],
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},
{
"id": 1015275691211772000,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/02/2022 11:03:07",
"content": "like that?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015275696756629500,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "09/02/2022 11:03:09",
"content": "ya",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015275724778782800,
"author_id": 778932185210028000,
"author_name": "Xhigma",
"timestamp": "09/02/2022 11:03:15",
"content": "ok ye",
"attachments": [],
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},
{
"id": 1015275731581943900,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "09/02/2022 11:03:17",
"content": ".close",
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},
{
"id": 1015275734396321900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 11:03:17",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
7bc45b8dce934de9b54a4f141ed41a0b
|
198,206 |
[
{
"id": 1015281688043065500,
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"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 11:26:57",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1015282350021689300,
"author_id": 284065859515973630,
"author_name": "Erzis",
"timestamp": "09/02/2022 11:29:35",
"content": "is this solvable?",
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"timestamp": "09/02/2022 11:29:35",
"content": "Pinned a message.",
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"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 11:44:35",
"content": "@Erzis Has your question been resolved?",
"attachments": [],
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"timestamp": "09/02/2022 12:14:49",
"content": "@Erzis Has your question been resolved?",
"attachments": [],
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"name": "Erzis",
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"timestamp": "09/02/2022 12:44:50",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
ca326e3bc7b4479e9c16eb5f4441289b
|
198,207 |
[
{
"id": 1015303655014011000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 12:54:14",
"content": "Available help channel!",
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},
{
"id": 1015304271073398800,
"author_id": 971305282598756400,
"author_name": "franklindelano",
"timestamp": "09/02/2022 12:56:41",
"content": "Okay, so say you have a parameterized 3-D plane: F(k,t) = <1+2k+3t, 2-2k-4t, 2k+4t>. Why is it that, when you split these into their normals: n\\_1 = <2, -2, 2> and n\\_2 = <3, -4, 4>, these normals are necessarily parallel to the original plane?",
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},
{
"id": 1015304272944038000,
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"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 12:56:42",
"content": "Pinned a message.",
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"id": 1015308046920061000,
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"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 13:11:41",
"content": "@franklindelano Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 13:41:46",
"content": "@franklindelano Has your question been resolved?",
"attachments": [],
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{
"id": 1015317838636003300,
"author_id": 381971715296722940,
"author_name": "ELeonardo",
"timestamp": "09/02/2022 13:50:36",
"content": "Hello. If you have 2 vectors (v1, v2) **parallel** to a plane, and these vectors are linearly independent (v1 is not a multiple of v2), then all the linear combinations of these 2 vectors are **parallel** to the plane. In fact these are not normals",
"attachments": [],
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"id": 1015317926322114700,
"author_id": 381971715296722940,
"author_name": "ELeonardo",
"timestamp": "09/02/2022 13:50:57",
"content": "you can get the normal vector by calculating the cross product of v1 and v2",
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},
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"id": 1015330938185597000,
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"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 14:42:39",
"content": "@franklindelano Has your question been resolved?",
"attachments": [],
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"author_id": 971305282598756400,
"author_name": "franklindelano",
"timestamp": "09/02/2022 15:31:18",
"content": "Oh what?",
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"id": 1015343495680098300,
"author_id": 971305282598756400,
"author_name": "franklindelano",
"timestamp": "09/02/2022 15:32:33",
"content": "Oh, so it isn't not a normal, because the parameterized 3-D plane is formed by two vectors which span the entire plane?",
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},
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"id": 1015345608812400800,
"author_id": 381971715296722940,
"author_name": "ELeonardo",
"timestamp": "09/02/2022 15:40:57",
"content": "Yes 👍🏽",
"attachments": [],
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"timestamp": "09/02/2022 17:32:33",
"content": "@franklindelano Has your question been resolved?",
"attachments": [],
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"timestamp": "09/02/2022 19:32:34",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
1106e56c674f4656b9f2ed38a90889eb
|
198,208 |
[
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"id": 1015404148361015300,
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"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 19:33:34",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1015404291307098200,
"author_id": 582682473188819000,
"author_name": "angelaxx",
"timestamp": "09/02/2022 19:34:08",
"content": "whats a derivative?",
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},
{
"id": 1015404293437792300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 19:34:08",
"content": "Pinned a message.",
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"id": 1015404582769275000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "09/02/2022 19:35:17",
"content": "https://www.youtube.com/watch?v=wUZcIYx-7a4&ab_channel=Mario%27sMathTutoring",
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},
{
"id": 1015404630752100500,
"author_id": 582682473188819000,
"author_name": "angelaxx",
"timestamp": "09/02/2022 19:35:29",
"content": "omg you are a life saver",
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},
{
"id": 1015404643318247600,
"author_id": 582682473188819000,
"author_name": "angelaxx",
"timestamp": "09/02/2022 19:35:32",
"content": "thank youuu",
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},
{
"id": 1015404688318922900,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "09/02/2022 19:35:43",
"content": "All you need to do you use google",
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"author_name": "angelaxx",
"timestamp": "09/02/2022 19:36:15",
"content": "sorry ive been working on limits that ive forgot basic skills my brain is too fried but thanks anyway",
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{
"id": 1015404833987108900,
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"timestamp": "09/02/2022 19:36:17",
"content": ".close",
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"timestamp": "09/02/2022 19:36:18",
"content": "Channel closed",
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}
] |
help-9
|
17edb268cb8e4e7f8c2a6d844dd460fc
|
198,209 |
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"content": "Available help channel!",
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"id": 1015407782859657200,
"author_id": 730452083962020000,
"author_name": "PiniXD",
"timestamp": "09/02/2022 19:48:00",
"content": "Could someone help me in this system of equations problem plz. I tried solving it but i only got weird fractions.",
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"content": "Pinned a message.",
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"content": "Post your work",
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"content": "Srry if it's messy",
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"author_id": 216912122083409920,
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"timestamp": "09/02/2022 19:52:57",
"content": "If you know matrices you can just shove it in a matrix and do Gaussian Elimination",
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"content": "I don't think they know that, hence the method they are doing",
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"timestamp": "09/02/2022 19:53:29",
"content": "My teacher hasn't shown me both methods. She handed me just some notes.",
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"author_name": "Learath2",
"timestamp": "09/02/2022 19:53:51",
"content": "Yeah, me neither. Just wanted to give a hint incase they just forgot and the word gaussian or matrix might trigger some memories 😄",
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"timestamp": "09/02/2022 19:53:53",
"content": "Like kind a substation of some kind",
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"timestamp": "09/02/2022 19:54:23",
"content": "My memory is trash rn lol",
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"timestamp": "09/02/2022 19:55:12",
"content": "If you want I can send the notes my teacher sent me and maybe we can take it off from there if it's any help",
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"timestamp": "09/02/2022 19:55:47",
"content": "If you don't know matrices and gaussian elimination we'll just have to do it by hand, there isn't much to know so notes are probably not needed",
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"timestamp": "09/02/2022 19:55:55",
"content": "Ok",
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"timestamp": "09/02/2022 19:56:21",
"content": "So first it seems you subtracted the 3rd equation from the 2nd",
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"timestamp": "09/02/2022 19:56:28",
"content": "Yes",
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"timestamp": "09/02/2022 19:57:21",
"content": "Oh no you didn't subtract, you substituted for z",
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"timestamp": "09/02/2022 19:57:46",
"content": "I made z to plug it into the 4rd equation",
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"timestamp": "09/02/2022 19:57:51",
"content": "3rd",
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"timestamp": "09/02/2022 19:57:55",
"content": "Not 4th",
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"timestamp": "09/02/2022 19:58:39",
"content": "Then from there I made another equation and then plugged z to the 1st equation to give me another equation",
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"timestamp": "09/02/2022 19:58:49",
"content": "To eliminate",
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"timestamp": "09/02/2022 19:58:59",
"content": "Idk if this makes sense",
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"timestamp": "09/02/2022 19:59:35",
"content": "With the elimination that's how I got my variable x",
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"author_name": "Learath2",
"timestamp": "09/02/2022 19:59:58",
"content": "Mh, you made an algebra mistake somewhere I'm having trouble spotting",
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"timestamp": "09/02/2022 20:00:14",
"content": "x is supposed to be -1",
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"author_name": "dldh06",
"timestamp": "09/02/2022 20:00:41",
"content": "I know the mistake now",
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"id": 1015411042903392300,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "09/02/2022 20:00:58",
"content": "The thing that messed up everything",
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},
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"id": 1015411142807531500,
"author_id": 216912122083409920,
"author_name": "Learath2",
"timestamp": "09/02/2022 20:01:21",
"content": "Well don't tease us",
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"author_id": 730452083962020000,
"author_name": "PiniXD",
"timestamp": "09/02/2022 20:01:29",
"content": "Yeah I wanna know",
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"content": "",
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"timestamp": "09/02/2022 20:01:48",
"content": "You wrote 12",
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"author_id": 216912122083409920,
"author_name": "Learath2",
"timestamp": "09/02/2022 20:01:50",
"content": "Aha",
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"timestamp": "09/02/2022 20:01:51",
"content": "Instead of -12",
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{
"id": 1015411288786096100,
"author_id": 730452083962020000,
"author_name": "PiniXD",
"timestamp": "09/02/2022 20:01:56",
"content": "It was the sign",
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},
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"id": 1015411340636074100,
"author_id": 730452083962020000,
"author_name": "PiniXD",
"timestamp": "09/02/2022 20:02:09",
"content": "This is just sad on my part",
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},
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"author_id": 216912122083409920,
"author_name": "Learath2",
"timestamp": "09/02/2022 20:02:22",
"content": "May I offer you a trick for the future?",
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"timestamp": "09/02/2022 20:02:27",
"content": "All the work was good, you just miswrote a sign",
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"timestamp": "09/02/2022 20:02:32",
"content": "Yes please",
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"author_name": "Learath2",
"timestamp": "09/02/2022 20:02:55",
"content": "Substituting in is tricky, it's easy to make a mistake. Try to use what you did at the end when you were left with 2 variable 2 equations but for the 3 equation ones",
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"author_name": "PiniXD",
"timestamp": "09/02/2022 20:02:59",
"content": "You won't belive how many things I've gotten wrong because of the - and +",
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"author_name": "Learath2",
"timestamp": "09/02/2022 20:03:20",
"content": "Writing xs under xs, ys under ys, zs under zs and adding/subtracting is much much safer",
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"author_name": "PiniXD",
"timestamp": "09/02/2022 20:03:47",
"content": "Ok so then it will give me less of a chance to mess up right?",
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"timestamp": "09/02/2022 20:03:58",
"content": "If you wanted to know, if the problem had 12, instead, you would have gotten the answer correct",
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"author_name": "PiniXD",
"timestamp": "09/02/2022 20:04:04",
"content": "Like all in thier own little columns?",
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"timestamp": "09/02/2022 20:04:25",
"content": "Also just look for trivial cancellations. e.g. 1st equation has a +y, second has a -y, add them together you'll get rid of the y. 1st has -z, 3rd has +z add them together you'll drop z",
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"timestamp": "09/02/2022 20:04:30",
"content": "Ig that's makes me feel a bit better thx",
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"timestamp": "09/02/2022 20:04:59",
"content": "Yes, just like you did when you were left with $\\\\ 10x - 3y = 14 \\\\ x + 3y = -1$",
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"timestamp": "09/02/2022 20:05:11",
"content": "Cancel the variables that are easy",
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"author_name": "TeXit",
"timestamp": "09/02/2022 20:05:13",
"content": "**Learath2**",
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"timestamp": "09/02/2022 20:05:48",
"content": "Look for easy cancellations, and instead of substitution, try to just work with equations as a whole, adding and subtracting them from one another",
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"timestamp": "09/02/2022 20:05:49",
"content": "Ok",
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"timestamp": "09/02/2022 20:06:09",
"content": "Will make your life much easier and your algebra easier to diagnose when you get errors",
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"timestamp": "09/02/2022 20:06:09",
"content": "So no elimination?",
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"timestamp": "09/02/2022 20:06:36",
"content": "Yes elimination, but not by substituting one equation into another, but instead adding/subtracting them as a whole",
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"author_name": "PiniXD",
"timestamp": "09/02/2022 20:07:10",
"content": "Oh ok then thank you so much",
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"id": 1015413084170485800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "09/02/2022 20:09:04",
"content": "In my opinion, I wouldn't confuse the OP with pseudo Gaussian Elimination if their teacher taught this a specific way",
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"author_id": 216912122083409920,
"author_name": "Learath2",
"timestamp": "09/02/2022 20:09:32",
"content": "Well their teacher obviously taught them the other way too since they did it with 2 variables and 2 equations",
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"id": 1015413500421615700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "09/02/2022 20:10:43",
"content": "I mean you're saying eliminate variables as a whole system, it could get confusing if their teacher didn't teach that yet with 3 variables",
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"id": 1015413857197494400,
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"author_name": "Learath2",
"timestamp": "09/02/2022 20:12:09",
"content": "It's just advice, up to him to take it or leave it. I find it easier to keep track of that way, I teach people that way. If he feels like sticking with what the teacher thought is safer, he is free to do so",
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"id": 1015416381010874400,
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"timestamp": "09/02/2022 20:22:10",
"content": "@PiniXD Has your question been resolved?",
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"timestamp": "09/02/2022 20:24:59",
"content": "Channel closed",
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}
] |
help-9
|
79e9309d31bd4e019b98ffa844c9f33d
|
198,210 |
[
{
"id": 1015427295869141000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 21:05:33",
"content": "Available help channel!",
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},
{
"id": 1015428094514958500,
"author_id": 1014720934587945000,
"author_name": "JavieCoffee",
"timestamp": "09/02/2022 21:08:43",
"content": "If I have a basis for R^2, like B={[0, 1], [1, 0]}, how would I go about making a change of basis matrix for it? Can I just stack the basis vectors into a matrix, or is there something more to it?",
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"id": 1015428096633094300,
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"timestamp": "09/02/2022 21:08:43",
"content": "Pinned a message.",
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"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 21:23:43",
"content": "@JavieCoffee Has your question been resolved?",
"attachments": [],
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"id": 1015432850201395300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "09/02/2022 21:27:37",
"content": "Do you have a specific problem",
"attachments": [],
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"timestamp": "09/02/2022 21:38:44",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
97f8aff600f9468aa1a5f6792e42166e
|
198,211 |
[
{
"id": 1015435899108085900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 21:39:44",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015438395167752300,
"author_id": 572940454191038460,
"author_name": "Alham",
"timestamp": "09/02/2022 21:49:39",
"content": "Hello, no idea where to start with this problem. Maybe some U sub could work? But i have no clue as of now",
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"timestamp": "09/02/2022 21:49:39",
"content": "Pinned a message.",
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"id": 1015441158211649700,
"author_id": 831591156919173100,
"author_name": "bendy",
"timestamp": "09/02/2022 22:00:38",
"content": "looks like you can factor the inside as a square",
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},
{
"id": 1015441410805215400,
"author_id": 831591156919173100,
"author_name": "bendy",
"timestamp": "09/02/2022 22:01:38",
"content": "wait no nvm",
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},
{
"id": 1015441446670704800,
"author_id": 831591156919173100,
"author_name": "bendy",
"timestamp": "09/02/2022 22:01:46",
"content": "what is option e btw",
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},
{
"id": 1015441543252938800,
"author_id": 572940454191038460,
"author_name": "Alham",
"timestamp": "09/02/2022 22:02:09",
"content": "none of the answers",
"attachments": [],
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},
{
"id": 1015441565340147800,
"author_id": 572940454191038460,
"author_name": "Alham",
"timestamp": "09/02/2022 22:02:15",
"content": "i believe",
"attachments": [],
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},
{
"id": 1015442578059042800,
"author_id": 572940454191038460,
"author_name": "Alham",
"timestamp": "09/02/2022 22:06:16",
"content": "actually i can try to complete the square?",
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},
{
"id": 1015442653258719400,
"author_id": 831591156919173100,
"author_name": "bendy",
"timestamp": "09/02/2022 22:06:34",
"content": "yeah i tried that but idk if its any help",
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},
{
"id": 1015442684040712300,
"author_id": 831591156919173100,
"author_name": "bendy",
"timestamp": "09/02/2022 22:06:41",
"content": "you get sin^2(x) + (cos(x) - 2022)^2",
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},
{
"id": 1015443364419747800,
"author_id": 572940454191038460,
"author_name": "Alham",
"timestamp": "09/02/2022 22:09:24",
"content": "yea i dont think that helps it",
"attachments": [],
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"reference": null
},
{
"id": 1015443783644631000,
"author_id": 831591156919173100,
"author_name": "bendy",
"timestamp": "09/02/2022 22:11:04",
"content": "you could approximate the integral if you had a calculator",
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},
{
"id": 1015443927026909300,
"author_id": 572940454191038460,
"author_name": "Alham",
"timestamp": "09/02/2022 22:11:38",
"content": "I thought of that but these questions all have methods to get to their final answers so i was tryna figure that out first",
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},
{
"id": 1015446126855462900,
"author_id": 572940454191038460,
"author_name": "Alham",
"timestamp": "09/02/2022 22:20:22",
"content": "Tried reducing sin^2x also doesnt help",
"attachments": [],
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"reference": null
},
{
"id": 1015446167405985800,
"author_id": 572940454191038460,
"author_name": "Alham",
"timestamp": "09/02/2022 22:20:32",
"content": "makes it tougher actually",
"attachments": [],
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},
{
"id": 1015447333867102200,
"author_id": 572940454191038460,
"author_name": "Alham",
"timestamp": "09/02/2022 22:25:10",
"content": "Maybe multiply the outside by some type of form of one with ln to get something one the inside cancelled (Lna/lnb = ln(a/b))?",
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},
{
"id": 1015447550804906000,
"author_id": 572940454191038460,
"author_name": "Alham",
"timestamp": "09/02/2022 22:26:02",
"content": "Wait then the multiplying ln(b) would just revert it back to original unless you start integrating from there differently?",
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},
{
"id": 1015447734427332600,
"author_id": 831591156919173100,
"author_name": "bendy",
"timestamp": "09/02/2022 22:26:45",
"content": "https://math.stackexchange.com/questions/1757448/evaluation-of-int-0-pi-ln5-4-cos-x-dx",
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},
{
"id": 1015447757403738200,
"author_id": 831591156919173100,
"author_name": "bendy",
"timestamp": "09/02/2022 22:26:51",
"content": "its in a very similar form to this",
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},
{
"id": 1015447767012876300,
"author_id": 831591156919173100,
"author_name": "bendy",
"timestamp": "09/02/2022 22:26:53",
"content": "so this might help",
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},
{
"id": 1015447873086816300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/02/2022 22:27:19",
"content": "",
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"id": 1015447910479057000,
"author_id": 572940454191038460,
"author_name": "Alham",
"timestamp": "09/02/2022 22:27:27",
"content": "I will look at that ty",
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},
{
"id": 1015448308161990700,
"author_id": 572940454191038460,
"author_name": "Alham",
"timestamp": "09/02/2022 22:29:02",
"content": "Ah I shouldve continued my approach of deriving i tried then scrapped wouldve saved this mess",
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},
{
"id": 1015449424362733600,
"author_id": 572940454191038460,
"author_name": "Alham",
"timestamp": "09/02/2022 22:33:28",
"content": "Got it, thx",
"attachments": [],
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},
{
"id": 1015449436266184800,
"author_id": 572940454191038460,
"author_name": "Alham",
"timestamp": "09/02/2022 22:33:31",
"content": ".close",
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},
{
"id": 1015449438707261400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/02/2022 22:33:32",
"content": "Channel closed",
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}
] |
help-9
|
02c4a217a8b742028a5abce1b845fb87
|
198,212 |
[
{
"id": 1015476639657889800,
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"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 00:21:37",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1015479741941289000,
"author_id": 562235038905925600,
"author_name": "mooncake",
"timestamp": "09/03/2022 00:33:57",
"content": "i need help figuring this out",
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"timestamp": "09/03/2022 00:33:57",
"content": "Pinned a message.",
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{
"id": 1015479821695975600,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "09/03/2022 00:34:16",
"content": "What ya got so far?",
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},
{
"id": 1015479848136868000,
"author_id": 562235038905925600,
"author_name": "mooncake",
"timestamp": "09/03/2022 00:34:22",
"content": "nothin i just started it",
"attachments": [],
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},
{
"id": 1015479988738326500,
"author_id": 562235038905925600,
"author_name": "mooncake",
"timestamp": "09/03/2022 00:34:56",
"content": "i don't understand how to do it",
"attachments": [],
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},
{
"id": 1015480132602958000,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "09/03/2022 00:35:30",
"content": "y=mx+b\n\nwhere m is the slope and b is the y-intercept",
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},
{
"id": 1015480182347403400,
"author_id": 490649542077841400,
"author_name": "tatpoj",
"timestamp": "09/03/2022 00:35:42",
"content": "Do you know how to find the slope and y-intercept?",
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},
{
"id": 1015480242397270000,
"author_id": 562235038905925600,
"author_name": "mooncake",
"timestamp": "09/03/2022 00:35:56",
"content": "i know how to find the y int",
"attachments": [],
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},
{
"id": 1015480248990699500,
"author_id": 562235038905925600,
"author_name": "mooncake",
"timestamp": "09/03/2022 00:35:58",
"content": "but not the slope",
"attachments": [],
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"reference": null
},
{
"id": 1015481172605812700,
"author_id": 562235038905925600,
"author_name": "mooncake",
"timestamp": "09/03/2022 00:39:38",
"content": "hello",
"attachments": [],
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},
{
"id": 1015482244648943600,
"author_id": 892894492108128300,
"author_name": "hired",
"timestamp": "09/03/2022 00:43:53",
"content": "The slope is meant to be got from the triangle hint",
"attachments": [],
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},
{
"id": 1015482278144647300,
"author_id": 562235038905925600,
"author_name": "mooncake",
"timestamp": "09/03/2022 00:44:01",
"content": "is it 2/2",
"attachments": [],
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},
{
"id": 1015482280682213500,
"author_id": 562235038905925600,
"author_name": "mooncake",
"timestamp": "09/03/2022 00:44:02",
"content": "so 1",
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},
{
"id": 1015482309077631000,
"author_id": 892894492108128300,
"author_name": "hired",
"timestamp": "09/03/2022 00:44:09",
"content": "No",
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},
{
"id": 1015482406968504300,
"author_id": 562235038905925600,
"author_name": "mooncake",
"timestamp": "09/03/2022 00:44:32",
"content": "so",
"attachments": [],
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},
{
"id": 1015482430091698200,
"author_id": 562235038905925600,
"author_name": "mooncake",
"timestamp": "09/03/2022 00:44:38",
"content": "how do i do the unit part",
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},
{
"id": 1015482517962363000,
"author_id": 892894492108128300,
"author_name": "hired",
"timestamp": "09/03/2022 00:44:59",
"content": "It’s negative",
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},
{
"id": 1015482567266418700,
"author_id": 892894492108128300,
"author_name": "hired",
"timestamp": "09/03/2022 00:45:10",
"content": "So the slope is -1",
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},
{
"id": 1015482723743318100,
"author_id": 562235038905925600,
"author_name": "mooncake",
"timestamp": "09/03/2022 00:45:48",
"content": "ok thanks",
"attachments": [],
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},
{
"id": 1015486499501912200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 01:00:48",
"content": "@mooncake Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 01:15:48",
"content": "Channel closed",
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}
] |
help-9
|
042eb6f823184ee5b5bf6861ebd15bee
|
198,213 |
[
{
"id": 1015491731237650400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 01:21:35",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1015493225852719200,
"author_id": 126912102416908290,
"author_name": "Momo",
"timestamp": "09/03/2022 01:27:31",
"content": "Let's say you have two terms being added, and are taking the limit as some variable goes to infinity. If the first term diverges to infinity, and the second term diverges to negative infinity, is the result undefined or 0?",
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{
"id": 1015493227945676800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 01:27:32",
"content": "Pinned a message.",
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{
"id": 1015493482955161600,
"author_id": 118536946527109120,
"author_name": "Migillope",
"timestamp": "09/03/2022 01:28:33",
"content": "depends",
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},
{
"id": 1015493666636300400,
"author_id": 126912102416908290,
"author_name": "Momo",
"timestamp": "09/03/2022 01:29:17",
"content": "Easiest case, let's say we have: lim_x->infty x - lim_y->infty y",
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},
{
"id": 1015493787449053300,
"author_id": 118536946527109120,
"author_name": "Migillope",
"timestamp": "09/03/2022 01:29:45",
"content": "are x and y in any way related",
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},
{
"id": 1015493834077110400,
"author_id": 126912102416908290,
"author_name": "Momo",
"timestamp": "09/03/2022 01:29:57",
"content": "No",
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},
{
"id": 1015493884970803300,
"author_id": 118536946527109120,
"author_name": "Migillope",
"timestamp": "09/03/2022 01:30:09",
"content": "then its undefined",
"attachments": [],
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},
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"id": 1015494017649217500,
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"timestamp": "09/03/2022 01:30:40",
"content": "The only reason why I'm thinking about this and was wondering what would have happened here if the first term had diverged to negative infinity and the second term to infinity:",
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"timestamp": "09/03/2022 01:30:46",
"content": "I know it doesn't but would it have been undefined?",
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"timestamp": "09/03/2022 01:30:51",
"content": "these are the same variable",
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"timestamp": "09/03/2022 01:31:03",
"content": "oh, I see, a vs b",
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"timestamp": "09/03/2022 01:31:11",
"content": "It's from an integral problem",
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"timestamp": "09/03/2022 01:31:22",
"content": "I'm being \"proper\" and changing the bounds from infinity to limits",
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"timestamp": "09/03/2022 01:31:59",
"content": "it would be, yes",
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"timestamp": "09/03/2022 01:32:04",
"content": "Undefined?",
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"timestamp": "09/03/2022 01:32:07",
"content": "yes",
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"timestamp": "09/03/2022 01:32:28",
"content": "Is there any case where it'll be 0 instead?",
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"timestamp": "09/03/2022 01:33:20",
"content": "however, $\\lim_{t \\to \\infty}(\\ln(1+e^x))\\mid_{-t}^{t}$ would be defined since the function is continuous",
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"timestamp": "09/03/2022 01:33:36",
"content": "**Migillope**",
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"timestamp": "09/03/2022 01:33:43",
"content": "any case where what would be zero?",
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"timestamp": "09/03/2022 01:33:54",
"content": "infinity - infinity",
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"author_name": "Momo",
"timestamp": "09/03/2022 01:34:10",
"content": "first term diverged to inf and second to -inf",
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"timestamp": "09/03/2022 01:34:34",
"content": "I don't understand what you mean by this",
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"timestamp": "09/03/2022 01:35:06",
"content": "the function there is continuous, since we consider the limit in just one variable, the limit will either converge or diverge, but it won't be undefined",
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"timestamp": "09/03/2022 01:35:22",
"content": "eh, sorta. here's an example",
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"author_name": "Migillope",
"timestamp": "09/03/2022 01:36:03",
"content": "$\\lim_{t \\to \\infty}(t) - \\lim_{t \\to \\infty}(t)$",
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"timestamp": "09/03/2022 01:36:05",
"content": "**Migillope**",
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"timestamp": "09/03/2022 01:37:12",
"content": "if you evaluate each invdividually you find $\\infty - \\infty$ which is undefined. But limits distrubute over addition, so it is equivalent to\n$\\lim_{t \\to \\infty}(t-t) = \\lim_{t \\to \\infty}(0) = 0$",
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"timestamp": "09/03/2022 01:37:16",
"content": "**Migillope**",
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"timestamp": "09/03/2022 01:37:43",
"content": "which is why I asked earlier if your x and y were related in some way",
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"timestamp": "09/03/2022 01:37:46",
"content": "What about\n$\\lim{x \\to \\infty}(x) - \\lim{y \\to \\infty}(y)$",
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"timestamp": "09/03/2022 01:37:48",
"content": "**Momo**",
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"timestamp": "09/03/2022 01:37:55",
"content": "are x and y related in some way",
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"timestamp": "09/03/2022 01:38:01",
"content": "Nope",
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"timestamp": "09/03/2022 01:38:04",
"content": "then it is undefined",
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"author_name": "Momo",
"timestamp": "09/03/2022 01:38:13",
"content": "And if they are you'd sub one for the other?",
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"author_name": "Migillope",
"timestamp": "09/03/2022 01:38:23",
"content": "well you would substitute according to the relation",
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"author_name": "Migillope",
"timestamp": "09/03/2022 01:38:35",
"content": "so if x=y then the whole thing is 0 for the same reason outlined a few message sago",
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"author_name": "Migillope",
"timestamp": "09/03/2022 01:39:03",
"content": "if x = y^2 then the whole thing diverges to infinity since the left limit grows much faster than the right",
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"id": 1015496199312265200,
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"author_name": "Migillope",
"timestamp": "09/03/2022 01:39:20",
"content": "if y = x^2, the whole thing diverges to infinity since the right limit grows much faster than the left",
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"author_name": "Migillope",
"timestamp": "09/03/2022 01:39:40",
"content": "the whole question is ultimately, how fast does the left limit grow in comparison to the right",
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"timestamp": "09/03/2022 01:39:52",
"content": "we cannot answer this when the expressions are completely unrelated",
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"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 01:53:13",
"content": "@Momo Has your question been resolved?",
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"timestamp": "09/03/2022 01:55:08",
"content": "Channel closed",
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}
] |
help-9
|
f9e14b9eceed4de5a1b26e0d041b7d46
|
198,214 |
[
{
"id": 955248652757127200,
"author_id": 426266736015441900,
"author_name": "dq",
"timestamp": "03/20/2022 19:37:06",
"content": "'Math major'",
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"id": 955248691395043300,
"author_id": 426266736015441900,
"author_name": "dq",
"timestamp": "03/20/2022 19:37:15",
"content": "calls negative 'minusing'",
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},
{
"id": 955248839823093800,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "03/20/2022 19:37:51",
"content": "last chance, cut it out",
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},
{
"id": 955248934333333600,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/20/2022 19:38:13",
"content": "What's your question?",
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"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/20/2022 19:38:14",
"content": "Ask it.",
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},
{
"id": 955249015807688700,
"author_id": 426266736015441900,
"author_name": "dq",
"timestamp": "03/20/2022 19:38:33",
"content": "I closeded the CHANENL!",
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"author_id": 186109587366215680,
"author_name": "Omegabet_",
"timestamp": "03/20/2022 19:38:43",
"content": "They got help already",
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"id": 955249061806624900,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/20/2022 19:38:44",
"content": "You opened it again. Close it.",
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"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/20/2022 19:38:50",
"content": "Lmao no kidding",
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"id": 955249116366143500,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/20/2022 19:38:57",
"content": "They reopened it lol",
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},
{
"id": 955249144186933200,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/20/2022 19:39:03",
"content": "They're just being stupid Ig",
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},
{
"id": 955249263313559700,
"author_id": 800622149903056900,
"author_name": "Shen",
"timestamp": "03/20/2022 19:39:32",
"content": "*Allow __Active__ and __Very Active__ people to close channels and such* /s",
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},
{
"id": 955249354258673800,
"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "03/20/2022 19:39:53",
"content": "theyre muted",
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},
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"author_id": 150414892225134600,
"author_name": "RokettoJanpu",
"timestamp": "03/20/2022 19:40:15",
"content": "@Omegabet_ dont minimod",
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"timestamp": "03/20/2022 19:41:16",
"content": "K.",
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"author_name": "Mathematics Bot",
"timestamp": "03/20/2022 21:08:53",
"content": "Available help channel!",
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{
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"author_id": 120342645330542600,
"author_name": "Hythlodaeus",
"timestamp": "03/20/2022 21:13:01",
"content": "Question help pls.",
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"timestamp": "03/20/2022 21:13:02",
"content": "Pinned a message.",
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"timestamp": "03/20/2022 21:15:13",
"content": "I am stuck on working out this question. I have wrote down so far 1 flan serves 8 people and requires 5 eggs",
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{
"id": 955273561306722300,
"author_id": 120342645330542600,
"author_name": "Hythlodaeus",
"timestamp": "03/20/2022 21:16:05",
"content": "need flans for 80 people. I need to work out if i need 45 eggs is enough, but i am struggling to work out if it serves 8 people do i just do 8 x 80 to find how many people it serves",
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{
"id": 955274293716082700,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "03/20/2022 21:18:59",
"content": "option 1: you need to find out the number of flans needed first and then multiply the number of eggs per flan to find the number of eggs needed",
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{
"id": 955274461953818600,
"author_id": 120342645330542600,
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"timestamp": "03/20/2022 21:19:39",
"content": "I think 10 flans serve 80 people",
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"id": 955274492257632300,
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"author_name": "MarveI",
"timestamp": "03/20/2022 21:19:47",
"content": "yeah",
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{
"id": 955274640845054000,
"author_id": 120342645330542600,
"author_name": "Hythlodaeus",
"timestamp": "03/20/2022 21:20:22",
"content": "If each flan needs 5 eggs its 10 x 5 = 50 eggs?",
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"id": 955274659815899300,
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"timestamp": "03/20/2022 21:20:27",
"content": "yeah",
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"author_name": "MarveI",
"timestamp": "03/20/2022 21:20:34",
"content": "but your option one is wrong",
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"id": 955274841097920500,
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"author_name": "MarveI",
"timestamp": "03/20/2022 21:21:10",
"content": "and then option 2, first you need to find out how many flans 45 eggs can make",
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{
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"timestamp": "03/20/2022 21:22:44",
"content": "Option 2: 45/5=9 flans",
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"id": 955275428661190700,
"author_id": 120342645330542600,
"author_name": "Hythlodaeus",
"timestamp": "03/20/2022 21:23:30",
"content": "I have changed option 1 to divide 80 by 8 then multiply the number of flans by 5.",
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},
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"id": 955275619090964500,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "03/20/2022 21:24:15",
"content": "ok",
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},
{
"id": 955275735487115300,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "03/20/2022 21:24:43",
"content": "and then you calculate the number of people that it can feed",
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},
{
"id": 955275824603496400,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "03/20/2022 21:25:04",
"content": "so, if 1 flan can serve 8 people, how many people can 9 flans serve",
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},
{
"id": 955275975560683600,
"author_id": 120342645330542600,
"author_name": "Hythlodaeus",
"timestamp": "03/20/2022 21:25:40",
"content": "8x9 = 72",
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},
{
"id": 955276034117341200,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "03/20/2022 21:25:54",
"content": "yeah",
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},
{
"id": 955276187096207400,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "03/20/2022 21:26:31",
"content": "so, for option 2, you __multiply__ the number of flans by __8__",
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},
{
"id": 955276327857053700,
"author_id": 120342645330542600,
"author_name": "Hythlodaeus",
"timestamp": "03/20/2022 21:27:04",
"content": "To find out the total number of eggs needed",
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},
{
"id": 955276420295307300,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "03/20/2022 21:27:26",
"content": "yeah",
"attachments": [],
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},
{
"id": 955276531117224000,
"author_id": 120342645330542600,
"author_name": "Hythlodaeus",
"timestamp": "03/20/2022 21:27:53",
"content": "just 10 flans x 5 eggs per flan = 50 eggs.",
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},
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"id": 955276808083890200,
"author_id": 120342645330542600,
"author_name": "Hythlodaeus",
"timestamp": "03/20/2022 21:28:59",
"content": "Thank you for helping me 🙂",
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},
{
"id": 955276948349792400,
"author_id": 120342645330542600,
"author_name": "Hythlodaeus",
"timestamp": "03/20/2022 21:29:32",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 955276950002356400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/20/2022 21:29:33",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
74a9dfc79ebb4e018e4773649dae0053
|
198,215 |
[
{
"id": 955739251016872000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/22/2022 04:06:34",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 955739606932922400,
"author_id": 728394779632730200,
"author_name": "aminua",
"timestamp": "03/22/2022 04:07:59",
"content": "Your friend claims that the only solution to the trig equation tan 0 = √3 is 0 = 60°. Is your friend correct? Explain.",
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},
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"id": 955739608753254400,
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"content": "Pinned a message.",
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"id": 955739647701553200,
"author_id": 728394779632730200,
"author_name": "aminua",
"timestamp": "03/22/2022 04:08:08",
"content": "from my understanding it's no",
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},
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"id": 955739693872459800,
"author_id": 728394779632730200,
"author_name": "aminua",
"timestamp": "03/22/2022 04:08:19",
"content": "however i'm having trouble full on EXPLAINING it",
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},
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"id": 955740489531932700,
"author_id": 246744092673966080,
"author_name": "ehven",
"timestamp": "03/22/2022 04:11:29",
"content": "@aminua",
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"id": 955740504660799500,
"author_id": 246744092673966080,
"author_name": "ehven",
"timestamp": "03/22/2022 04:11:33",
"content": "i agree its no",
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},
{
"id": 955740557714522100,
"author_id": 728394779632730200,
"author_name": "aminua",
"timestamp": "03/22/2022 04:11:45",
"content": "y e a",
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},
{
"id": 955740607521906800,
"author_id": 246744092673966080,
"author_name": "ehven",
"timestamp": "03/22/2022 04:11:57",
"content": "tan is sin / cos",
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},
{
"id": 955740637104308200,
"author_id": 246744092673966080,
"author_name": "ehven",
"timestamp": "03/22/2022 04:12:04",
"content": "theres only one other coordinate",
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},
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"id": 955740679454228500,
"author_id": 246744092673966080,
"author_name": "ehven",
"timestamp": "03/22/2022 04:12:14",
"content": "that can give u a ratio of sqrt 3",
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},
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"id": 955740877345669100,
"author_id": 246744092673966080,
"author_name": "ehven",
"timestamp": "03/22/2022 04:13:01",
"content": "what is the coordinate at 60 degrees @aminua",
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"id": 955741485259698200,
"author_id": 728394779632730200,
"author_name": "aminua",
"timestamp": "03/22/2022 04:15:26",
"content": "1/2 , √3/2 ?",
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},
{
"id": 955741681624420400,
"author_id": 246744092673966080,
"author_name": "ehven",
"timestamp": "03/22/2022 04:16:13",
"content": "i agree",
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},
{
"id": 955741811949838300,
"author_id": 728394779632730200,
"author_name": "aminua",
"timestamp": "03/22/2022 04:16:44",
"content": "so would the other point be at 240?",
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},
{
"id": 955741885815746600,
"author_id": 246744092673966080,
"author_name": "ehven",
"timestamp": "03/22/2022 04:17:02",
"content": "perhaps",
"attachments": [],
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},
{
"id": 955741896645414900,
"author_id": 246744092673966080,
"author_name": "ehven",
"timestamp": "03/22/2022 04:17:04",
"content": "why do you say that",
"attachments": [],
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},
{
"id": 955742443121287200,
"author_id": 728394779632730200,
"author_name": "aminua",
"timestamp": "03/22/2022 04:19:15",
"content": "because if you divide sin/cos for both of the coordinates they have the same outcome",
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},
{
"id": 955742671983480800,
"author_id": 246744092673966080,
"author_name": "ehven",
"timestamp": "03/22/2022 04:20:09",
"content": "whats the coordinate at 240 degrees",
"attachments": [],
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},
{
"id": 955742733270675500,
"author_id": 728394779632730200,
"author_name": "aminua",
"timestamp": "03/22/2022 04:20:24",
"content": "-1/2, -√3/2",
"attachments": [],
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},
{
"id": 955742802275340300,
"author_id": 728394779632730200,
"author_name": "aminua",
"timestamp": "03/22/2022 04:20:40",
"content": "-√3/2/-1/2 = √3/2/1/2",
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},
{
"id": 955743084254199800,
"author_id": 246744092673966080,
"author_name": "ehven",
"timestamp": "03/22/2022 04:21:48",
"content": "nice",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 955743121759694800,
"author_id": 728394779632730200,
"author_name": "aminua",
"timestamp": "03/22/2022 04:21:57",
"content": "tysm for the assistance ^^",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 955743146397020200,
"author_id": 246744092673966080,
"author_name": "ehven",
"timestamp": "03/22/2022 04:22:02",
"content": "sure!",
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},
{
"id": 955743424542286000,
"author_id": 728394779632730200,
"author_name": "aminua",
"timestamp": "03/22/2022 04:23:09",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 955743425985146900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "03/22/2022 04:23:09",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
d19ac6c03dfb44bf9989731c5f30cb7e
|
198,216 |
[
{
"id": 960392746168881200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/04/2022 00:17:53",
"content": "also max your 401k",
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"reference": null
},
{
"id": 960392911659348000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "04/04/2022 00:18:33",
"content": "Don't delete the messages plz, this was entertaining to read",
"attachments": [],
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{
"id": 467435887236612100,
"name": "Edd",
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"id": 960397211412340900,
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"author_name": "Mathematics Bot",
"timestamp": "04/04/2022 00:35:38",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 960397356686258300,
"author_id": 859971294409785300,
"author_name": "semaj",
"timestamp": "04/04/2022 00:36:13",
"content": "Could someone check this for me, thanks",
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"id": 960397358506586200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/04/2022 00:36:13",
"content": "Pinned a message.",
"attachments": [],
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"id": 960400842849136600,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/04/2022 00:50:04",
"content": "Nice",
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{
"id": 960400869294231600,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/04/2022 00:50:10",
"content": ":sadcatthumbsup:",
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},
{
"id": 960401351626592300,
"author_id": 859971294409785300,
"author_name": "semaj",
"timestamp": "04/04/2022 00:52:05",
"content": "b) is fine?",
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},
{
"id": 960401558514831400,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/04/2022 00:52:54",
"content": "you solved b?",
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"id": 960401577145925600,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/04/2022 00:52:59",
"content": ":vampysmug:",
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},
{
"id": 960401681663799300,
"author_id": 859971294409785300,
"author_name": "semaj",
"timestamp": "04/04/2022 00:53:24",
"content": "Wdym, just asking if someone could check b) for me",
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},
{
"id": 960401756578250900,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/04/2022 00:53:42",
"content": "Oh sorry i was looking at d lol",
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},
{
"id": 960401794272489600,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/04/2022 00:53:51",
"content": "I thought b) = a)",
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},
{
"id": 960401819891277800,
"author_id": 562871150762262500,
"author_name": "Dracô",
"timestamp": "04/04/2022 00:53:57",
"content": "Yes b is correct",
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},
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"id": 960402068739350500,
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"author_name": "Dracô",
"timestamp": "04/04/2022 00:54:56",
"content": "@semaj",
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"id": 960402206673227800,
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"author_name": "semaj",
"timestamp": "04/04/2022 00:55:29",
"content": "Oh k, thanks",
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},
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"id": 960402219256143900,
"author_id": 859971294409785300,
"author_name": "semaj",
"timestamp": "04/04/2022 00:55:32",
"content": "\\:)",
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},
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"id": 960402256233115600,
"author_id": 859971294409785300,
"author_name": "semaj",
"timestamp": "04/04/2022 00:55:41",
"content": ".close",
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},
{
"id": 960402257621442600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/04/2022 00:55:41",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
ac37b576a3d04fd6b72107cabeb83ee9
|
198,217 |
[
{
"id": 1015500425639768000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 01:56:08",
"content": "Available help channel!",
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},
{
"id": 1015503871386320900,
"author_id": 967403221419184100,
"author_name": "hovik",
"timestamp": "09/03/2022 02:09:50",
"content": "if im doing a linear equation and i want to solve for c, and i isolate it to the opposite side, would it become -c or just stay as c?",
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"id": 1015503873319915600,
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"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 02:09:50",
"content": "Pinned a message.",
"attachments": [],
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"id": 1015504020519006200,
"author_id": 967403221419184100,
"author_name": "hovik",
"timestamp": "09/03/2022 02:10:25",
"content": "60 = -2(-100) + c\n-c = -60-2(-100)",
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},
{
"id": 1015504022632931500,
"author_id": 967403221419184100,
"author_name": "hovik",
"timestamp": "09/03/2022 02:10:26",
"content": "?",
"attachments": [],
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"reference": null
},
{
"id": 1015504107693428900,
"author_id": 967403221419184100,
"author_name": "hovik",
"timestamp": "09/03/2022 02:10:46",
"content": "because i get the right answer on the right side, but the left side is still negative c",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015504141197508600,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "09/03/2022 02:10:54",
"content": "Seems correct",
"attachments": [],
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},
{
"id": 1015504175171383300,
"author_id": 967403221419184100,
"author_name": "hovik",
"timestamp": "09/03/2022 02:11:02",
"content": "can i just leave c as -c?",
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},
{
"id": 1015504198567215100,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "09/03/2022 02:11:08",
"content": "No",
"attachments": [],
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},
{
"id": 1015504224840323200,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "09/03/2022 02:11:14",
"content": "Wait wdym",
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},
{
"id": 1015504238794772500,
"author_id": 967403221419184100,
"author_name": "hovik",
"timestamp": "09/03/2022 02:11:17",
"content": "like",
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},
{
"id": 1015504256339546100,
"author_id": 967403221419184100,
"author_name": "hovik",
"timestamp": "09/03/2022 02:11:21",
"content": "cuz my answer on the right side is right",
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},
{
"id": 1015504270684065800,
"author_id": 967403221419184100,
"author_name": "hovik",
"timestamp": "09/03/2022 02:11:25",
"content": "its 140",
"attachments": [],
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},
{
"id": 1015504291915636700,
"author_id": 967403221419184100,
"author_name": "hovik",
"timestamp": "09/03/2022 02:11:30",
"content": "but since the left side is -c",
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},
{
"id": 1015504321032486900,
"author_id": 967403221419184100,
"author_name": "hovik",
"timestamp": "09/03/2022 02:11:37",
"content": "i wanted to divide both sides by -1",
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},
{
"id": 1015504342532497500,
"author_id": 967403221419184100,
"author_name": "hovik",
"timestamp": "09/03/2022 02:11:42",
"content": "but then the right side becomes wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015504363923447800,
"author_id": 967403221419184100,
"author_name": "hovik",
"timestamp": "09/03/2022 02:11:47",
"content": "it goes to -140",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015504404876640300,
"author_id": 967403221419184100,
"author_name": "hovik",
"timestamp": "09/03/2022 02:11:57",
"content": "wait nvm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015504406336249900,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "09/03/2022 02:11:57",
"content": "So why is it wrong?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015504422639501400,
"author_id": 967403221419184100,
"author_name": "hovik",
"timestamp": "09/03/2022 02:12:01",
"content": "nvmvnvmvnv",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015504437332168700,
"author_id": 967403221419184100,
"author_name": "hovik",
"timestamp": "09/03/2022 02:12:05",
"content": "i mixed 2 questions together",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015504446752563200,
"author_id": 967403221419184100,
"author_name": "hovik",
"timestamp": "09/03/2022 02:12:07",
"content": "it is -140",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015504448577077200,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "09/03/2022 02:12:07",
"content": ":catthumbsup:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015504471196975100,
"author_id": 967403221419184100,
"author_name": "hovik",
"timestamp": "09/03/2022 02:12:13",
"content": ":sad:",
"attachments": [],
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},
{
"id": 1015504753784000500,
"author_id": 967403221419184100,
"author_name": "hovik",
"timestamp": "09/03/2022 02:13:20",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015504756439011300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 02:13:21",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
4112eb955f2748ad81cb88714087f455
|
198,218 |
[
{
"id": 1015524078125330400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 03:30:07",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015524609296191500,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:32:14",
"content": "the residue at a pole or zero, how do i intepret it? like what does it mean",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015524611535945700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 03:32:14",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
"messageId": 1015524609296191500,
"channelId": 486844875632017400,
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}
},
{
"id": 1015524838003191800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/03/2022 03:33:08",
"content": "what's the residue at a zero? one would think only poles have residues",
"attachments": [],
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},
{
"id": 1015524936120537200,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:33:32",
"content": "oh only poles mb, i dont quite get residues",
"attachments": [],
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"reference": null
},
{
"id": 1015524988339634200,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:33:44",
"content": "so how would i interpret the residue at a pole",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015525156447342600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/03/2022 03:34:24",
"content": "it's the coefficient on z^-1 in the laurent series centered at the pole",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015525338417205200,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:35:08",
"content": "then if the pole is of order 2? is it the same?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015525417731510400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/03/2022 03:35:27",
"content": "if you think about what happens when you integrate a meromorphic function in a loop",
"attachments": [],
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"reference": null
},
{
"id": 1015525468981711000,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/03/2022 03:35:39",
"content": "essentially all the terms drop out",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015525470953029800,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:35:39",
"content": "we get some value?",
"attachments": [],
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"reference": null
},
{
"id": 1015525492276871200,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:35:44",
"content": "non zero value",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015525575160516600,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/03/2022 03:36:04",
"content": "because everything that isn't attached to z^-1 integrates to 0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015525583075160000,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:36:06",
"content": "so residue is essentially writing that 1 term that is not dropped out?",
"attachments": [],
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},
{
"id": 1015525861522423900,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/03/2022 03:37:12",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015525916866248700,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:37:26",
"content": "then how abou say",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015525939641340000,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:37:31",
"content": "f(z)=sqrt(z)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015526028090814500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/03/2022 03:37:52",
"content": "uh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015526035187572700,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/03/2022 03:37:54",
"content": "not good",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015526058751184900,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:37:59",
"content": "is that neither holomorphic or meromorphic on C? (the entire)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015526120575209500,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:38:14",
"content": "so its the same for",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015526146617638900,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/03/2022 03:38:20",
"content": "it has a branch cut",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015526153471131600,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:38:22",
"content": "sin or exponential functions?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015526172555223200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/03/2022 03:38:27",
"content": "it's holomorphic elsewhere",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015526220743573500,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:38:38",
"content": "idk what branch cut means",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015526250070159400,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:38:45",
"content": "but so are they",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015526269988905000,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:38:50",
"content": "do they have a residue?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015526339849240600,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/03/2022 03:39:06",
"content": "residue depends on the point you take it at",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015526345901604900,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:39:08",
"content": "is it just the entire series?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015526384094945300,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:39:17",
"content": "sqrt z about 0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015526421348757600,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:39:26",
"content": "is it just the laurent series about 0?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015526615901540500,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:40:12",
"content": "woo",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015526635740610700,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:40:17",
"content": "watching my lect now",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015526649774735400,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:40:20",
"content": "now they talk about sin",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015526659270651900,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:40:23",
"content": "ok lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015526811049922600,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:40:59",
"content": "ill be back with more confusion",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015526821896388600,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:41:01",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015526824710770800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 03:41:02",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
0e0ec42e336c407c9eb3033cd7e36386
|
198,219 |
[
{
"id": 1015526837897674800,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 03:41:05",
"content": "also thanks ann n snow",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015527135756169200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 03:42:16",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015534445861814300,
"author_id": 880569020804382700,
"author_name": "cerrik",
"timestamp": "09/03/2022 04:11:19",
"content": "how do you define as a limit the volume within a closed surface?",
"attachments": [],
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"reference": null
},
{
"id": 1015534447904440300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 04:11:20",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
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"messageId": 1015534445861814300,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1015536371160592400,
"author_id": 880569020804382700,
"author_name": "cerrik",
"timestamp": "09/03/2022 04:18:58",
"content": "i think it wants the answer as a limit n -> infinity, along with a series of cross sections?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015536973999517700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "09/03/2022 04:21:22",
"content": "many ways\nhttps://tutorial.math.lamar.edu/Classes/CalcIII/DoubleIntegrals.aspx\nhttps://tutorial.math.lamar.edu/classes/calciii/tripleintegrals.aspx",
"attachments": [],
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},
{
"id": 1015537050591694800,
"author_id": 880569020804382700,
"author_name": "cerrik",
"timestamp": "09/03/2022 04:21:40",
"content": "oh this problem was given with the assumption the student doesn't know integrals",
"attachments": [],
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"reference": null
},
{
"id": 1015538618208636900,
"author_id": 370444508644769800,
"author_name": "DootDooter",
"timestamp": "09/03/2022 04:27:54",
"content": "If they know limits but not integrals then can't you just expand out the definition of the integral?",
"attachments": [],
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},
{
"id": 1015538775822172200,
"author_id": 880569020804382700,
"author_name": "cerrik",
"timestamp": "09/03/2022 04:28:31",
"content": "uhhh we've only covered definition of derivative using limits",
"attachments": [],
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},
{
"id": 1015538825709232100,
"author_id": 370444508644769800,
"author_name": "DootDooter",
"timestamp": "09/03/2022 04:28:43",
"content": "Okay, you don't need derivatives for this.",
"attachments": [],
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"reference": null
},
{
"id": 1015538972778307600,
"author_id": 370444508644769800,
"author_name": "DootDooter",
"timestamp": "09/03/2022 04:29:18",
"content": "It's just unpacking the definition of the integral which is just a special limit.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015538997839286300,
"author_id": 880569020804382700,
"author_name": "cerrik",
"timestamp": "09/03/2022 04:29:24",
"content": "",
"attachments": [
{
"id": 1015538995377230000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1015538995377229904/D25A0A7B-307E-4F11-9F09-A3577E1649DD.jpg",
"fileName": "D25A0A7B-307E-4F11-9F09-A3577E1649DD.jpg",
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{
"id": 1015539052096782300,
"author_id": 880569020804382700,
"author_name": "cerrik",
"timestamp": "09/03/2022 04:29:37",
"content": "this was the solution for area of a closed region using limits",
"attachments": [],
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},
{
"id": 1015539106064904200,
"author_id": 370444508644769800,
"author_name": "DootDooter",
"timestamp": "09/03/2022 04:29:50",
"content": "Yeah looks vaguely correct",
"attachments": [],
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},
{
"id": 1015539159844274200,
"author_id": 880569020804382700,
"author_name": "cerrik",
"timestamp": "09/03/2022 04:30:03",
"content": "could i not use this same idea for volume??",
"attachments": [],
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"reference": null
},
{
"id": 1015539203448254500,
"author_id": 880569020804382700,
"author_name": "cerrik",
"timestamp": "09/03/2022 04:30:13",
"content": "base * height * depth?",
"attachments": [],
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"reference": null
},
{
"id": 1015539250764202000,
"author_id": 370444508644769800,
"author_name": "DootDooter",
"timestamp": "09/03/2022 04:30:25",
"content": "This is what I'm suggesting you do.",
"attachments": [],
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},
{
"id": 1015539288554885100,
"author_id": 370444508644769800,
"author_name": "DootDooter",
"timestamp": "09/03/2022 04:30:34",
"content": "See riemann's link about triple integrals.",
"attachments": [],
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},
{
"id": 1015539344502702200,
"author_id": 370444508644769800,
"author_name": "DootDooter",
"timestamp": "09/03/2022 04:30:47",
"content": "You'll just have three nested integrals.",
"attachments": [],
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},
{
"id": 1015539376597516300,
"author_id": 880569020804382700,
"author_name": "cerrik",
"timestamp": "09/03/2022 04:30:55",
"content": "jeez okay i'll give it a shot",
"attachments": [],
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"reference": null
},
{
"id": 1015539400349851600,
"author_id": 370444508644769800,
"author_name": "DootDooter",
"timestamp": "09/03/2022 04:31:00",
"content": "But each one is just some fancy limit.",
"attachments": [],
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},
{
"id": 1015539426962702300,
"author_id": 880569020804382700,
"author_name": "cerrik",
"timestamp": "09/03/2022 04:31:07",
"content": "hm okok thank you",
"attachments": [],
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},
{
"id": 1015539576997158900,
"author_id": 880569020804382700,
"author_name": "cerrik",
"timestamp": "09/03/2022 04:31:42",
"content": "yah this is impossible for me i think",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015539604465647600,
"author_id": 880569020804382700,
"author_name": "cerrik",
"timestamp": "09/03/2022 04:31:49",
"content": "😹😹😹",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015540157845340200,
"author_id": 880569020804382700,
"author_name": "cerrik",
"timestamp": "09/03/2022 04:34:01",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015540160697479200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 04:34:02",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
dd521ec3ae3d453fa546e58155ef060a
|
198,220 |
[
{
"id": 1015541020378804400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 04:37:27",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015546162339651600,
"author_id": 256476167454851070,
"author_name": "Matt-",
"timestamp": "09/03/2022 04:57:53",
"content": "So I was able to get 47 right but for 48 when I’m making the projection vector for the Parallel vector is the x,y gonna be 5,-4 since it’s a tangent?",
"attachments": [
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"id": 1015546166013862000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 04:57:53",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
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},
{
"id": 1015546755057721500,
"author_id": 256476167454851070,
"author_name": "Matt-",
"timestamp": "09/03/2022 05:00:14",
"content": "Or is that just the angle and I’ll take the respective sine and cosine of that angle?",
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},
{
"id": 1015546967843147900,
"author_id": 352841007936831500,
"author_name": "pipoca",
"timestamp": "09/03/2022 05:01:05",
"content": "Anyone know how to do the one on the bottom",
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"timestamp": "09/03/2022 05:01:52",
"content": "Expand them and group I’m assuming? But you might wanna go to another help channel lol",
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"timestamp": "09/03/2022 05:16:52",
"content": "@Matt- Has your question been resolved?",
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"timestamp": "09/03/2022 05:18:40",
"content": "Channel closed",
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}
] |
help-9
|
94f8fd0a10884e12becece96144dbc02
|
198,221 |
[
{
"id": 1015551647323258900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 05:19:40",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1015568279726731400,
"author_id": 538037765661786100,
"author_name": "Spencer",
"timestamp": "09/03/2022 06:25:46",
"content": "Hello, I am unsure how the run is 4. I believe I am doing my math wrong but am unsure what to change. Currently im plugging these numbers into the standard formula, so im doing -7^2 + 3^2 = 58, finding the greatest common factor which leaves me with 2 square root 29, then plugging that into my trigonometric functions.",
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"content": "Pinned a message.",
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"id": 1015570020794904600,
"author_id": 538037765661786100,
"author_name": "Spencer",
"timestamp": "09/03/2022 06:32:41",
"content": "Im stupid, I just went through a YouTube tutorial and found im not suppose to square a radical",
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},
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"id": 1015570034233442400,
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"timestamp": "09/03/2022 06:32:44",
"content": "My teacher sucks",
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},
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"timestamp": "09/03/2022 06:47:44",
"content": "@Spencer Has your question been resolved?",
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}
] |
help-9
|
ff71813e99dd423488dbb4d3d80664da
|
198,222 |
[
{
"id": 1015583647362977800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 07:26:50",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1015584496969584800,
"author_id": 670500641298317300,
"author_name": "cane piercings",
"timestamp": "09/03/2022 07:30:12",
"content": "Hello am kinda confused about how to evaluate functions but if the given is F(5) and the function is F(w)=3, doesn't that mean the answer is F(5)=3?",
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},
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"timestamp": "09/03/2022 07:30:13",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1015584954832388100,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "09/03/2022 07:32:01",
"content": "is the function dependent on w?",
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},
{
"id": 1015584967113322500,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "09/03/2022 07:32:04",
"content": "if so then yes",
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},
{
"id": 1015585027620339800,
"author_id": 271133126728613900,
"author_name": "waler",
"timestamp": "09/03/2022 07:32:19",
"content": "if not then not enough information to conclude",
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},
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"id": 1015585786780983300,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "09/03/2022 07:35:20",
"content": "Correct, if by F(w)=3 you mean the constant function that is equal to 3 for any w.",
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"author_name": "cane piercings",
"timestamp": "09/03/2022 07:36:45",
"content": "Ummmm what's a constant function?? ⊙﹏⊙ Am sorry am just Soo dumb",
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},
{
"id": 1015586342710812700,
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"author_name": "Janox",
"timestamp": "09/03/2022 07:37:32",
"content": "It is constant if the value doesn't change no matter at which point you evaluate it.",
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"timestamp": "09/03/2022 07:37:53",
"content": "Ohhhh",
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"timestamp": "09/03/2022 07:37:56",
"content": "Ok thanks",
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},
{
"id": 1015587212575899800,
"author_id": 670500641298317300,
"author_name": "cane piercings",
"timestamp": "09/03/2022 07:41:00",
"content": "Am still confused (*﹏*;)",
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},
{
"id": 1015587277302399000,
"author_id": 670500641298317300,
"author_name": "cane piercings",
"timestamp": "09/03/2022 07:41:15",
"content": "If the given is",
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"content": "",
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"timestamp": "09/03/2022 07:41:31",
"content": "And the function is",
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"author_name": "cane piercings",
"timestamp": "09/03/2022 07:42:22",
"content": "Can I do it like this (Z^2)^2?",
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"author_name": "Janox",
"timestamp": "09/03/2022 07:43:03",
"content": "Yes, kind of",
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{
"id": 1015587797291253800,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "09/03/2022 07:43:19",
"content": "Replace all `z` with `w²`",
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"timestamp": "09/03/2022 07:43:40",
"content": "Ok",
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},
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"author_name": "cane piercings",
"timestamp": "09/03/2022 07:45:35",
"content": "You mean something like this?",
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"author_name": "Janox",
"timestamp": "09/03/2022 07:45:49",
"content": "Yep👍",
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},
{
"id": 1015588513443491800,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "09/03/2022 07:46:10",
"content": "That is equal to h(w²)",
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"id": 1015588628057047000,
"author_id": 670500641298317300,
"author_name": "cane piercings",
"timestamp": "09/03/2022 07:46:37",
"content": "Can the final answer be a fraction? Or does it always have to be a whole number?",
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{
"id": 1015588725276815400,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "09/03/2022 07:47:00",
"content": "Final answer to what?",
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"id": 1015588809972404200,
"author_id": 670500641298317300,
"author_name": "cane piercings",
"timestamp": "09/03/2022 07:47:21",
"content": "To the equation",
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"id": 1015588885734117500,
"author_id": 670500641298317300,
"author_name": "cane piercings",
"timestamp": "09/03/2022 07:47:39",
"content": "To evaluation in general",
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"id": 1015588958077472800,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "09/03/2022 07:47:56",
"content": "Oh so you mean if you plug in some number for w?",
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"id": 1015589053002952700,
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"author_name": "cane piercings",
"timestamp": "09/03/2022 07:48:18",
"content": "Ye something like that",
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"author_name": "Janox",
"timestamp": "09/03/2022 07:50:32",
"content": "Depends on the number. If w itself is a fraction, then most likely `h(w²)` is also a fraction.\nBut if w is a whole number, then `h(w²)` is also a whole number. That is because whole numbers are closed under addition, subtraction and multiplication.",
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"id": 1015589797814874100,
"author_id": 688374781858545800,
"author_name": "Janox",
"timestamp": "09/03/2022 07:51:16",
"content": "That means if you add, subtract, multiply, square, ... two whole numbers the result is also a whole number.",
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"author_name": "cane piercings",
"timestamp": "09/03/2022 07:51:48",
"content": "Ohhh",
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},
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"id": 1015589955495538800,
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"author_name": "cane piercings",
"timestamp": "09/03/2022 07:51:54",
"content": "Okok thanks",
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},
{
"id": 1015591747037966500,
"author_id": 670500641298317300,
"author_name": "cane piercings",
"timestamp": "09/03/2022 07:59:01",
"content": "I'm kinda stuck",
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},
{
"id": 1015591794815291400,
"author_id": 670500641298317300,
"author_name": "cane piercings",
"timestamp": "09/03/2022 07:59:12",
"content": "If I try to simplify it",
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"timestamp": "09/03/2022 07:59:15",
"content": "",
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"author_id": 670500641298317300,
"author_name": "cane piercings",
"timestamp": "09/03/2022 07:59:19",
"content": "I end up with thus",
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},
{
"id": 1015591842382889000,
"author_id": 670500641298317300,
"author_name": "cane piercings",
"timestamp": "09/03/2022 07:59:24",
"content": "This",
"attachments": [],
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},
{
"id": 1015591957533294600,
"author_id": 670500641298317300,
"author_name": "cane piercings",
"timestamp": "09/03/2022 07:59:51",
"content": "And I don't know what to do next",
"attachments": [],
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},
{
"id": 1015592454612857000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "09/03/2022 08:01:49",
"content": "What are your instructions",
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},
{
"id": 1015592905144029200,
"author_id": 670500641298317300,
"author_name": "cane piercings",
"timestamp": "09/03/2022 08:03:37",
"content": "Nothing much",
"attachments": [],
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},
{
"id": 1015592934827110400,
"author_id": 670500641298317300,
"author_name": "cane piercings",
"timestamp": "09/03/2022 08:03:44",
"content": "It's just to evaluate",
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},
{
"id": 1015593141673402500,
"author_id": 670500641298317300,
"author_name": "cane piercings",
"timestamp": "09/03/2022 08:04:33",
"content": "Is this already the final solution or can I still simplify it?",
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},
{
"id": 1015593308447309800,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "09/03/2022 08:05:13",
"content": "If your instructions are just to evaluate h(w²) then you're done",
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},
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"id": 1015593510281429000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "09/03/2022 08:06:01",
"content": "You can factor h(z) and then plug in w² if you want",
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},
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"id": 1015593908681572400,
"author_id": 670500641298317300,
"author_name": "cane piercings",
"timestamp": "09/03/2022 08:07:36",
"content": "So this is already the final answer?",
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},
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"id": 1015597684427587700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 08:22:36",
"content": "@cane piercings Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 08:23:08",
"content": "Channel closed",
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}
] |
help-9
|
26f4e8f4d7af460a9a459fd97e2bfad0
|
198,223 |
[
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"timestamp": "09/03/2022 08:24:08",
"content": "Available help channel!",
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},
{
"id": 1015601027317239900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/03/2022 08:35:53",
"content": "",
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"content": "Pinned a message.",
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"author_id": 456226577798135800,
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"timestamp": "09/03/2022 08:35:59",
"content": "Is this correct?",
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},
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"id": 1015602074278449200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/03/2022 08:40:03",
"content": "@Helpers",
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},
{
"id": 1015602093748387800,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "09/03/2022 08:40:08",
"content": "chill",
"attachments": [],
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},
{
"id": 1015602110030680000,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "09/03/2022 08:40:12",
"content": "it hasnt been 15 mins",
"attachments": [],
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"reference": null
},
{
"id": 1015602128594665500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/03/2022 08:40:16",
"content": "Oh ok",
"attachments": [],
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},
{
"id": 1015602184496357500,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "09/03/2022 08:40:29",
"content": "and yes u r correct",
"attachments": [],
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},
{
"id": 1015602221477548000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/03/2022 08:40:38",
"content": "Ok thanks",
"attachments": [],
"mentions": [],
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},
{
"id": 1015602304939987000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/03/2022 08:40:58",
"content": ".close",
"attachments": [],
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},
{
"id": 1015602307800510500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 08:40:59",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
de47cc4f791b46da8c327724a46c33c4
|
198,224 |
[
{
"id": 1015603553357791400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 08:45:56",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015603836288778200,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 08:47:03",
"content": "not sure where to start\n\nThe six faces of a cube are painted black. The cube is then cut into $5^3 = 125$ smaller cubes, all the same size. One of the small cubes is chosen at random, and rolled. What is the probability that when it lands, the face on the top is black?",
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},
{
"id": 1015603838524330000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 08:47:04",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1015603836288778200,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1015603849421127800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/03/2022 08:47:06",
"content": "**banan\\|crab**",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1015603849479856178/996044212158083084.png",
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{
"id": 1015604220096950300,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "09/03/2022 08:48:35",
"content": "how do we find out the number of painted faces",
"attachments": [],
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"id": 1015604398904328200,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 08:49:17",
"content": "wdym?",
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"id": 1015604488381415600,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "09/03/2022 08:49:39",
"content": "it says 6 faces are painted black right",
"attachments": [],
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{
"id": 1015604544819970000,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "09/03/2022 08:49:52",
"content": "we want to find how many cubes are painted black",
"attachments": [],
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"reference": null
},
{
"id": 1015604743340564500,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 08:50:39",
"content": "125-27 cubes have black paint on them",
"attachments": [],
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"reference": null
},
{
"id": 1015604861687042000,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "09/03/2022 08:51:08",
"content": "how did we get 27",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015604891118489700,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "09/03/2022 08:51:15",
"content": "that does not seem correct",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015605134274854900,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 08:52:13",
"content": "it seems like 20%.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015605179355238400,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 08:52:23",
"content": "hint: construct a probability tree.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015605428429791200,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 08:53:23",
"content": "also, the number of faces with black paint on them counts. some blocks will have black paint on more than one face (consider the corner pieces for instance).",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015605529655124100,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 08:53:47",
"content": "i tried doing casework, but that didnt go well",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015605631937429500,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 08:54:11",
"content": "try it again; when I did casework, it allowed me to arrive to a clean conclusion.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015606272638320600,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 08:56:44",
"content": "my cases were:\ncubes with 0 black faces\ncubes with 1 black face",
"attachments": [],
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"id": 1015606281001775100,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 08:56:46",
"content": "...",
"attachments": [],
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"reference": null
},
{
"id": 1015606299339268100,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 08:56:50",
"content": "up to 3 black faces",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015606388233338900,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 08:57:12",
"content": "hmmm, personally I classified it more geometrically.",
"attachments": [],
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"reference": null
},
{
"id": 1015606473994285000,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 08:57:32",
"content": "corner cubes, edge cubes, face cubes, and inner cubes.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015606511529103400,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 08:57:41",
"content": "right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015606603782824000,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 08:58:03",
"content": "and then for each case i determined the probability that it would land on a black face",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015606808271921300,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 08:58:52",
"content": "hmmm yeah that's also how I did it.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015606943873781800,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 08:59:24",
"content": "i got \ncorner: 3/4\nedge: 2/4\nface: 1/4\ninner: 0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015606979860893800,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 08:59:33",
"content": "if i add them i get 6/4 which is greater than one",
"attachments": [],
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},
{
"id": 1015607056977375200,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 08:59:51",
"content": "oops a cube has 6 faces.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015607172295577600,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 09:00:18",
"content": "oh mb",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015607245356142700,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 09:00:36",
"content": "wait i get `1`",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015607281364254800,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 09:00:44",
"content": "that doesnt make sense tho",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015607327019249800,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 09:00:55",
"content": "and also, you have quantify all those possibilities.",
"attachments": [],
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"reference": null
},
{
"id": 1015607347017687200,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 09:01:00",
"content": "hm?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015607388277055500,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 09:01:10",
"content": "for instance, how many corner pieces are there?",
"attachments": [],
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"reference": null
},
{
"id": 1015607502727033000,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 09:01:37",
"content": "and by the way, count pieces only once. that is, if a piece is a corner piece, exclude it from edge piece or face piece.",
"attachments": [],
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},
{
"id": 1015607895200632800,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 09:03:11",
"content": "4",
"attachments": [],
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},
{
"id": 1015608068123402200,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 09:03:52",
"content": "what about edge pieces? exclude all corner pieces.",
"attachments": [],
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},
{
"id": 1015608145403457500,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 09:04:10",
"content": "36",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015608243051053200,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 09:04:34",
"content": "what about face pieces? likewise, exclude all edge and corner pieces.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015608279696674800,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 09:04:42",
"content": "54",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015608345182343300,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 09:04:58",
"content": "yup. and the rest are inner pieces.",
"attachments": [],
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},
{
"id": 1015608468549423100,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 09:05:27",
"content": "now find the possibility that you will, for example, get an edge piece.",
"attachments": [],
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},
{
"id": 1015608550678077400,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 09:05:47",
"content": "multiply that by the possibility that its randomly selected face would be painted.",
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},
{
"id": 1015608622883029100,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 09:06:04",
"content": "perform that on all 4 possibilities -- inner, face, edge, and corner.",
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},
{
"id": 1015608654977847300,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 09:06:12",
"content": "36/125?",
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},
{
"id": 1015608695012470800,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 09:06:21",
"content": "ok gotcha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015608710569144400,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 09:06:25",
"content": "yeah good",
"attachments": [],
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},
{
"id": 1015609049670230000,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 09:07:46",
"content": "```\n27/125*0=0\n36/125*2/6=2/125\n54/125*1/6=9/125\n8/125*3/6=4/125\n```",
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},
{
"id": 1015609421369458700,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 09:09:15",
"content": "multiply or add?",
"attachments": [],
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},
{
"id": 1015609438985535500,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 09:09:19",
"content": "add",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015609577754071200,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 09:09:52",
"content": "hm its wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015609634041630700,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 09:10:05",
"content": "try not to simplify and calculate",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015609683828023400,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 09:10:17",
"content": "the numbers are right before simplification",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015609713980874800,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 09:10:24",
"content": "I will recheck my answer, too.",
"attachments": [],
"mentions": [],
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},
{
"id": 1015609878712156300,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 09:11:04",
"content": "yeah i got it correct now",
"attachments": [],
"mentions": [],
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},
{
"id": 1015609892570148900,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 09:11:07",
"content": "thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015609915798200300,
"author_id": 682051884802244600,
"author_name": "DW09877",
"timestamp": "09/03/2022 09:11:13",
"content": "no problem.",
"attachments": [],
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},
{
"id": 1015610029598060500,
"author_id": 996044212158083100,
"author_name": "banan|crab",
"timestamp": "09/03/2022 09:11:40",
"content": ".close",
"attachments": [],
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},
{
"id": 1015610032420819100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 09:11:40",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
87b9219a4023492fb9fd3bb5bfac7c38
|
198,225 |
[
{
"id": 1015610284871782500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 09:12:41",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015623223678881900,
"author_id": 731716389190238200,
"author_name": "ikea",
"timestamp": "09/03/2022 10:04:05",
"content": "hi! i’ve been stuck on this complex numbers problem for a bit (as you can tell by the eraser marks🤡) but cant seem to get the right answer. could someone help me through the process?",
"attachments": [
{
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{
"id": 1015623225872486400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 10:04:06",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1015623223678881900,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1015625114127175800,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "09/03/2022 10:11:36",
"content": "write it in polar form",
"attachments": [],
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},
{
"id": 1015625128220049500,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "09/03/2022 10:11:39",
"content": "the base I mean",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015626548725952600,
"author_id": 731716389190238200,
"author_name": "ikea",
"timestamp": "09/03/2022 10:17:18",
"content": "i dont know what that means😭",
"attachments": [],
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{
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"nickname": "Lucid",
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}
],
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},
{
"id": 1015626600630452400,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "09/03/2022 10:17:31",
"content": "in re^ix form",
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"timestamp": "09/03/2022 10:18:47",
"content": "i havent heard those terms before",
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"timestamp": "09/03/2022 10:19:33",
"content": "do you know eulers formula?",
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"timestamp": "09/03/2022 10:19:39",
"content": "e^(ix)=cos(x)+isin(x)",
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"timestamp": "09/03/2022 10:19:58",
"content": "no i just started this course, algebra 2",
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"timestamp": "09/03/2022 10:20:18",
"content": ":catThink: oh tbh i dont think this is taught in algebra 2",
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"timestamp": "09/03/2022 10:21:00",
"content": "then they probably expected u to use binomial theorom which i think is taught after that",
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"timestamp": "09/03/2022 10:21:15",
"content": "I think they're supposed to use trigonometric form",
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"timestamp": "09/03/2022 10:21:18",
"content": "other than that u have no option other than doing a painfull expansion",
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"timestamp": "09/03/2022 10:21:20",
"content": "I would probably just expand normally",
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"timestamp": "09/03/2022 10:21:23",
"content": "It's painfull",
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"timestamp": "09/03/2022 10:21:28",
"content": "By I don't like trig",
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"timestamp": "09/03/2022 10:21:47",
"content": "i would just go use binomial theorom if i cant use eulers formula lol",
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"timestamp": "09/03/2022 10:21:47",
"content": "Yeah i started doing that but i was like “there has to be an easier way”",
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"timestamp": "09/03/2022 10:21:56",
"content": "there is",
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"timestamp": "09/03/2022 10:22:00",
"content": "and thats eulers formula",
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"timestamp": "09/03/2022 10:22:10",
"content": "its 5 sec solution",
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"timestamp": "09/03/2022 10:22:10",
"content": "🥸",
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"author_name": "TimesZeroed",
"timestamp": "09/03/2022 10:22:43",
"content": "Well after learning of eulers formula pain was saved",
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"timestamp": "09/03/2022 10:22:50",
"content": "From happening",
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"timestamp": "09/03/2022 10:23:07",
"content": "ye",
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"timestamp": "09/03/2022 10:23:20",
"content": "dang guess i have to expand until we learn that",
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"timestamp": "09/03/2022 10:23:33",
"content": "Use trig or binomial therom",
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"timestamp": "09/03/2022 10:23:47",
"content": "have u been taught the geometric intepreation of multplying complex numbers which is also basically a consequence of eulers formula?",
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"timestamp": "09/03/2022 10:24:13",
"content": "I always though the formula was the consequence",
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"timestamp": "09/03/2022 10:24:25",
"content": "But I guess I'm just dumb",
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"timestamp": "09/03/2022 10:24:55",
"content": "no it isnt lol its a consequence of the defintion of cos,sin and e^x by their series expansions",
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"timestamp": "09/03/2022 10:26:56",
"content": "sadly no,",
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"timestamp": "09/03/2022 10:26:56",
"content": "I still doing some complex number problems without polar is a fun challenge. For like cubes roots of unity.",
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"timestamp": "09/03/2022 10:27:19",
"content": "then u have to expand it normally sadly",
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"timestamp": "09/03/2022 10:27:35",
"content": "Oh okay well thank you so much for your help guys",
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"timestamp": "09/03/2022 10:27:51",
"content": "or if u are an absolute genius invent the theoroms yourself jk jk",
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"timestamp": "09/03/2022 10:27:55",
"content": "When I was learning quad",
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"timestamp": "09/03/2022 10:28:07",
"content": "I had already leant about the formula",
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"timestamp": "09/03/2022 10:28:15",
"content": "So sometimes I would just use",
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"timestamp": "09/03/2022 10:28:39",
"content": "And sometimes the teachers would not care about my work",
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"timestamp": "09/03/2022 10:28:57",
"content": "use eulers formula?",
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"timestamp": "09/03/2022 10:29:13",
"content": "I was talking about quadratics",
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"timestamp": "09/03/2022 10:29:43",
"content": "oh u meant binomial theorom",
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"timestamp": "09/03/2022 10:29:57",
"content": "Not binomial",
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"timestamp": "09/03/2022 10:30:00",
"content": "the",
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"timestamp": "09/03/2022 10:30:01",
"content": "you learned it on your own time…",
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"author_name": "TimesZeroed",
"timestamp": "09/03/2022 10:30:19",
"content": "-b plus or minus sqrt(b^2-4ac) all over 2a",
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"timestamp": "09/03/2022 10:30:27",
"content": "Youtube",
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"timestamp": "09/03/2022 10:30:29",
"content": "oh the quadratic formula",
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"timestamp": "09/03/2022 10:30:32",
"content": "is your best friend",
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"id": 1015629889229033600,
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"timestamp": "09/03/2022 10:30:35",
"content": "thats nice",
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"timestamp": "09/03/2022 10:31:06",
"content": "Ya but it's not really",
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"timestamp": "09/03/2022 10:31:09",
"content": "best pieces of math can be found if u work to find them yourself rather than learning them blindly all the time",
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"timestamp": "09/03/2022 10:31:14",
"content": "It gets boring",
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"id": 1015630071115043000,
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"timestamp": "09/03/2022 10:31:18",
"content": "during class",
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"content": "just sitting there",
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"timestamp": "09/03/2022 10:31:26",
"content": "true",
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"timestamp": "09/03/2022 10:32:13",
"content": "I was able to learn some topics in calculus without even anyone teaching me like how to solve first order linear des its very satisfying once u find it",
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"timestamp": "09/03/2022 10:33:12",
"content": "I was proud of myself for proving the lim h->0 of (f(x+h)-f(x))/h is the derivative",
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"timestamp": "09/03/2022 10:33:23",
"content": "and then showing how that can simplfy for",
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"timestamp": "09/03/2022 10:33:45",
"content": "i think thats the defintion of the dervative",
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"timestamp": "09/03/2022 10:33:48",
"content": "for the rule",
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"id": 1015630724570828900,
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"timestamp": "09/03/2022 10:33:54",
"content": "like thats what it is u cannot prove it",
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"timestamp": "09/03/2022 10:33:57",
"content": "I forgot the name of",
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{
"id": 1015630755294097400,
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"timestamp": "09/03/2022 10:34:01",
"content": "it goes like",
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"timestamp": "09/03/2022 10:34:17",
"content": "d/dx (3x^2)=3*2x^2-1",
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"id": 1015630828207870100,
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"timestamp": "09/03/2022 10:34:18",
"content": "lhoptal rule?",
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"timestamp": "09/03/2022 10:34:27",
"content": "Not that one",
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"timestamp": "09/03/2022 10:34:27",
"content": "oh that",
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{
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"timestamp": "09/03/2022 10:34:32",
"content": "power rule",
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"timestamp": "09/03/2022 10:34:39",
"content": "I was proud of myself",
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"timestamp": "09/03/2022 10:34:48",
"content": "but then I realized it's very easy",
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"timestamp": "09/03/2022 10:34:56",
"content": "ya ig most people do that",
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"timestamp": "09/03/2022 10:35:11",
"content": "its a bit tricky to generalize it to fractional exponents",
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"timestamp": "09/03/2022 10:35:33",
"content": "Ya, I used bionimial therom to prove it",
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"timestamp": "09/03/2022 10:36:04",
"content": "binomial theorom cant be used to prove it over fractional exponents tho",
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"id": 1015631296195739600,
"author_id": 923289947383922700,
"author_name": "TimesZeroed",
"timestamp": "09/03/2022 10:36:10",
"content": "Well",
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},
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"id": 1015631351208218800,
"author_id": 923289947383922700,
"author_name": "TimesZeroed",
"timestamp": "09/03/2022 10:36:23",
"content": "It sorta can",
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"id": 1015631364118290600,
"author_id": 923289947383922700,
"author_name": "TimesZeroed",
"timestamp": "09/03/2022 10:36:26",
"content": "I have not done it",
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},
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"id": 1015631417100746800,
"author_id": 923289947383922700,
"author_name": "TimesZeroed",
"timestamp": "09/03/2022 10:36:39",
"content": "But I seen a generlized verison of it",
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"id": 1015631426659561500,
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"timestamp": "09/03/2022 10:36:41",
"content": "generalized binomial theorom?",
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"id": 1015631452366446600,
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"timestamp": "09/03/2022 10:36:47",
"content": "ya",
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{
"id": 1015631482829680800,
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"timestamp": "09/03/2022 10:36:55",
"content": "but thats a overkill for it i think",
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},
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"id": 1015631527402537000,
"author_id": 923289947383922700,
"author_name": "TimesZeroed",
"timestamp": "09/03/2022 10:37:05",
"content": "But that requires calcuals itself to prove",
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"id": 1015631554355142800,
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"timestamp": "09/03/2022 10:37:12",
"content": "exactly",
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},
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"id": 1015631591122423900,
"author_id": 923289947383922700,
"author_name": "TimesZeroed",
"timestamp": "09/03/2022 10:37:20",
"content": "and it's overkill",
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},
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"id": 1015631609669636100,
"author_id": 923289947383922700,
"author_name": "TimesZeroed",
"timestamp": "09/03/2022 10:37:25",
"content": "as you said",
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},
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"id": 1015631621745029100,
"author_id": 909734400990785500,
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"timestamp": "09/03/2022 10:37:28",
"content": "u can easily prove it using logarithimic diff",
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},
{
"id": 1015631725130416300,
"author_id": 923289947383922700,
"author_name": "TimesZeroed",
"timestamp": "09/03/2022 10:37:52",
"content": "Would love to if I was not addicted to video games and youtube",
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},
{
"id": 1015631809092014200,
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"author_name": "",
"timestamp": "09/03/2022 10:38:12",
"content": "ln(y)=nln(x) \n\ntake d/dx of both sides \n\n=> y'/y=n/x \n\n=> y'=(yn)/x=x^(n-1)n",
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},
{
"id": 1015631965384351900,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "09/03/2022 10:38:50",
"content": "ig we drifted from the orginal topic",
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},
{
"id": 1015631991510679700,
"author_id": 923289947383922700,
"author_name": "TimesZeroed",
"timestamp": "09/03/2022 10:38:56",
"content": "Ya",
"attachments": [],
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},
{
"id": 1015632015313338500,
"author_id": 909734400990785500,
"author_name": "",
"timestamp": "09/03/2022 10:39:01",
"content": "which ig has ended",
"attachments": [],
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},
{
"id": 1015632151435284600,
"author_id": 923289947383922700,
"author_name": "TimesZeroed",
"timestamp": "09/03/2022 10:39:34",
"content": "I'll talk in a different channel",
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},
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"id": 1015632166983577600,
"author_id": 923289947383922700,
"author_name": "TimesZeroed",
"timestamp": "09/03/2022 10:39:38",
"content": "If that ok",
"attachments": [],
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},
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"id": 1015632306293198800,
"author_id": 923289947383922700,
"author_name": "TimesZeroed",
"timestamp": "09/03/2022 10:40:11",
"content": "Never mind",
"attachments": [],
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},
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"id": 1015633565431636000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 10:45:11",
"content": "@ikea Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 10:45:47",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
92ec620619d14df2bf1744721817a4a1
|
198,226 |
[
{
"id": 1015634959802826900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 10:50:44",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1015635501513965600,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 10:52:53",
"content": "tough one. un is a real seq that goes to 0, show this",
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"timestamp": "09/03/2022 10:52:53",
"content": "Pinned a message.",
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"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 10:53:00",
"content": "i tried many manipulations and none worked really",
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"id": 1015635569621078000,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 10:53:09",
"content": "whats the go to strategy in those kind of questions",
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{
"id": 1015635752970895400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/03/2022 10:53:53",
"content": "let $v_n = u_n + u_{2n}$ then $u_n = \\sum_{k=0}^{\\infty} (-1)^k v_{2^k n}$",
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"id": 1015635763939004500,
"author_id": 510789298321096700,
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"timestamp": "09/03/2022 10:53:55",
"content": "**Ann**",
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"timestamp": "09/03/2022 10:54:48",
"content": "waaaw",
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"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 10:54:55",
"content": "god how are you so quick",
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{
"id": 1015636018134798500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/03/2022 10:54:56",
"content": "$u_n + u_{2n} - u_{2n} - u_{4n} + u_{4n} + u_{8n} - u_{8n} - u_{16n} + \\dots$",
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"id": 1015636026900873200,
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"timestamp": "09/03/2022 10:54:58",
"content": "**Ann**",
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"id": 1015636037764133000,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 10:55:01",
"content": "how do you see those things",
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},
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"id": 1015636140927234200,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 10:55:25",
"content": "What got into your head to think of vn",
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{
"id": 1015636182652166300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/03/2022 10:55:35",
"content": "the u\\_n + u\\_{2n} thing",
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},
{
"id": 1015636244740456400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/03/2022 10:55:50",
"content": "it occurred to me to express u_n in terms of that",
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},
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"id": 1015636328781717600,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 10:56:10",
"content": "in terms of un+u2n",
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"id": 1015636342383845500,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 10:56:13",
"content": "why?",
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{
"id": 1015636383039230000,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 10:56:23",
"content": "to make use of what we have",
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"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 10:56:25",
"content": "okay",
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"timestamp": "09/03/2022 10:56:26",
"content": "makes sense",
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"timestamp": "09/03/2022 10:56:37",
"content": "okay from here on out its easy",
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"timestamp": "09/03/2022 10:56:40",
"content": "thanks Ann",
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"timestamp": "09/03/2022 10:57:31",
"content": ".close",
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"timestamp": "09/03/2022 10:57:31",
"content": "Channel closed",
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] |
help-9
|
2c7fb25a7c8045bbb6a9123aaba1abd7
|
198,227 |
[
{
"id": 960480060761079800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/04/2022 06:04:51",
"content": "Available help channel!",
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},
{
"id": 960480382753603600,
"author_id": 498977307101495300,
"author_name": "RiBid",
"timestamp": "04/04/2022 06:06:08",
"content": "I'm not sure how to do this question",
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"content": "Pinned a message.",
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"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/04/2022 06:18:08",
"content": "@RiBid Start simple. How many elements does A x B have?",
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"author_name": "RiBid",
"timestamp": "04/04/2022 06:18:59",
"content": "It'll have a x b elements right.",
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{
"id": 960483744291119100,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/04/2022 06:19:29",
"content": "yes",
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"id": 960483765103239200,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/04/2022 06:19:34",
"content": "and B x A?",
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"author_name": "RiBid",
"timestamp": "04/04/2022 06:19:40",
"content": "same thing",
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"id": 960483863078010900,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/04/2022 06:19:57",
"content": "now you need to remove those elements which are in both (A x B) and (B x A)",
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"id": 960484178762276900,
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"timestamp": "04/04/2022 06:21:13",
"content": "I'm not sure what that'll be",
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"id": 960484382412517400,
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"author_name": "Navix",
"timestamp": "04/04/2022 06:22:01",
"content": "say A = {1, 2, 3, 4, 5, 6} and B = {2, 3, 8, 9}, A intersect B = {2, 3}\none of the duplicates will be (2, 3) from (A x B) and (2, 3) from (B x A)",
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"id": 960484592001904600,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/04/2022 06:22:51",
"content": "given there are 2 elements in this intersection, how many duplicates would you need to remove?",
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},
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"id": 960484711375994900,
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"author_name": "RiBid",
"timestamp": "04/04/2022 06:23:20",
"content": "1 duplicate",
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},
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"id": 960484839159627800,
"author_id": 392341051794391040,
"author_name": "Navix",
"timestamp": "04/04/2022 06:23:50",
"content": "what about (3,2)?",
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"timestamp": "04/04/2022 06:24:18",
"content": "oh right.",
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"author_name": "RiBid",
"timestamp": "04/04/2022 06:26:27",
"content": "but why exactly am I finding that?",
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"id": 960485565826998300,
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"author_name": "Navix",
"timestamp": "04/04/2022 06:26:43",
"content": "well because in your final set you don't want duplicates",
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"timestamp": "04/04/2022 06:26:46",
"content": "so you need to subtract those",
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"author_name": "RiBid",
"timestamp": "04/04/2022 06:27:38",
"content": "so AxB and BxA will have have as many duplicates as A intersect B i.e c ?",
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},
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"timestamp": "04/04/2022 06:28:19",
"content": "if the intersection is non-empty and you just do `a * b + b * a = 2ab` as your cardinality, you're overcounting by the size of the set `A intersect B`",
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"timestamp": "04/04/2022 06:29:42",
"content": "so subtracting c from that gives the true value?",
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"timestamp": "04/04/2022 06:44:42",
"content": "@RiBid Has your question been resolved?",
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"timestamp": "04/04/2022 07:15:45",
"content": "@RiBid Has your question been resolved?",
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"timestamp": "04/04/2022 07:45:45",
"content": "Channel closed",
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}
] |
help-9
|
3e32de26aa1b4066b14c626ee6aeef90
|
198,228 |
[
{
"id": 1015636882622795800,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 10:58:22",
"content": "@Ann hey Ann",
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"id": 1015636907977347100,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 10:58:28",
"content": "did maths come easy to you?",
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},
{
"id": 1015636942869766100,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 10:58:36",
"content": "or is it studying day and night?",
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},
{
"id": 1015637052211073200,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 10:59:02",
"content": "i am trying a lot to get better and i can feel an improvement but i feel i am a dwarf among the maths talent",
"attachments": [],
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"reference": null
},
{
"id": 1015637102471434200,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 10:59:14",
"content": "I am trying to study smarter not harder and understand the logic behind everything",
"attachments": [],
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"reference": null
},
{
"id": 1015637158658318300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/03/2022 10:59:28",
"content": ".reopen",
"attachments": [],
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},
{
"id": 1015637163012010000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 10:59:29",
"content": "✅",
"attachments": [],
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},
{
"id": 1015637182297428100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/03/2022 10:59:33",
"content": "gonna do this so that the channel doesn't close on us",
"attachments": [],
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},
{
"id": 1015637204032307200,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 10:59:39",
"content": "yeah",
"attachments": [],
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},
{
"id": 1015637280163123200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/03/2022 10:59:57",
"content": "anyway, no, i never really \"studied day and night\"",
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},
{
"id": 1015637288639791100,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 10:59:59",
"content": "So i want to see your take on this",
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},
{
"id": 1015637351319474200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/03/2022 11:00:14",
"content": "perhaps it is because most math i've been introduced to was sufficiently lubricated at the time of introduction",
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},
{
"id": 1015637419271397400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/03/2022 11:00:30",
"content": "that i never saw much need to force it in with effort",
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},
{
"id": 1015637482118848500,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 11:00:45",
"content": "So you had a powerful foundation thats it?",
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},
{
"id": 1015637518412153000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/03/2022 11:00:54",
"content": "some of it however was not, whence came a lot of pain in my behind in _some_ of my classes",
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},
{
"id": 1015637545574486100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/03/2022 11:01:00",
"content": "essentially",
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},
{
"id": 1015637736679542900,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 11:01:46",
"content": "Okay. And now learning new concepts how do you make sure to retain as much knowledge as possible",
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},
{
"id": 1015637818711752700,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 11:02:05",
"content": "I feel i forget what i learn faster than i can say i learned it",
"attachments": [],
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"reference": null
},
{
"id": 1015638032122118100,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 11:02:56",
"content": "Because it feels you have the mathematical mind, not the memorized the chapter one. I want that",
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},
{
"id": 1015638062342078500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/03/2022 11:03:03",
"content": "nyeh",
"attachments": [],
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},
{
"id": 1015638070365782100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/03/2022 11:03:05",
"content": "i guess like",
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},
{
"id": 1015638159859658900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/03/2022 11:03:26",
"content": "this is going to sound up-in-the-clouds but a concept is easily memorable if i can relate it to other already known things",
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},
{
"id": 1015638229376061400,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 11:03:43",
"content": "No not at all up in the clouds",
"attachments": [],
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"id": 1015638350624997400,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 11:04:12",
"content": "Actually a wonderful advice. Just now remembering what ive retained its all related to something else i already knew extremely well",
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},
{
"id": 1015638420762149000,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 11:04:29",
"content": "But i never did this intentionally",
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},
{
"id": 1015638472133984400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/03/2022 11:04:41",
"content": "i guess like",
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},
{
"id": 1015638474205970600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/03/2022 11:04:41",
"content": "yeah",
"attachments": [],
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},
{
"id": 1015638486478487600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/03/2022 11:04:44",
"content": "find connections with familiar things",
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},
{
"id": 1015638509631054000,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 11:04:50",
"content": "Nice",
"attachments": [],
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},
{
"id": 1015638563171340400,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 11:05:03",
"content": "thanks a lott",
"attachments": [],
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"reference": null
},
{
"id": 1015638640443007100,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 11:05:21",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1015638643567767800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 11:05:22",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
2026d4ff1f36484a82006c1ea133231f
|
198,229 |
[
{
"id": 1015639682941456500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 11:09:30",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1015642164388171800,
"author_id": 867780015323611100,
"author_name": "MKGamer",
"timestamp": "09/03/2022 11:19:21",
"content": "What happens if we multiply -1 to +-x",
"attachments": [],
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"reference": null
},
{
"id": 1015642166816673900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 11:19:22",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1015642164388171800,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1015642240569319600,
"author_id": 572940454191038460,
"author_name": "Alham",
"timestamp": "09/03/2022 11:19:39",
"content": "Then it is still +- x",
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},
{
"id": 1015642258818744400,
"author_id": 867780015323611100,
"author_name": "MKGamer",
"timestamp": "09/03/2022 11:19:44",
"content": "OK",
"attachments": [],
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"reference": null
},
{
"id": 1015642296479391700,
"author_id": 572940454191038460,
"author_name": "Alham",
"timestamp": "09/03/2022 11:19:53",
"content": "it becomes -+ x basically",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015642313554411500,
"author_id": 867780015323611100,
"author_name": "MKGamer",
"timestamp": "09/03/2022 11:19:57",
"content": "So what if +-x is equated to something else",
"attachments": [],
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},
{
"id": 1015642333749977200,
"author_id": 867780015323611100,
"author_name": "MKGamer",
"timestamp": "09/03/2022 11:20:02",
"content": "ah..got it",
"attachments": [],
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"name": "Alham",
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},
{
"id": 1015642365446340600,
"author_id": 572940454191038460,
"author_name": "Alham",
"timestamp": "09/03/2022 11:20:09",
"content": "then the order will switch",
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"mentions": [],
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},
{
"id": 1015642372031381500,
"author_id": 572940454191038460,
"author_name": "Alham",
"timestamp": "09/03/2022 11:20:11",
"content": "yea",
"attachments": [],
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},
{
"id": 1015642455007313900,
"author_id": 867780015323611100,
"author_name": "MKGamer",
"timestamp": "09/03/2022 11:20:30",
"content": "like +-x= y",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015642475228041200,
"author_id": 867780015323611100,
"author_name": "MKGamer",
"timestamp": "09/03/2022 11:20:35",
"content": "it becomes +-x=-y",
"attachments": [],
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},
{
"id": 1015642485013360800,
"author_id": 572940454191038460,
"author_name": "Alham",
"timestamp": "09/03/2022 11:20:38",
"content": "+- y = -+x means for +y its -x",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015642486787547100,
"author_id": 867780015323611100,
"author_name": "MKGamer",
"timestamp": "09/03/2022 11:20:38",
"content": "thats it?",
"attachments": [],
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},
{
"id": 1015642510791561300,
"author_id": 867780015323611100,
"author_name": "MKGamer",
"timestamp": "09/03/2022 11:20:44",
"content": "Oh...'",
"attachments": [],
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},
{
"id": 1015642516047024100,
"author_id": 867780015323611100,
"author_name": "MKGamer",
"timestamp": "09/03/2022 11:20:45",
"content": "OK",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015642529313599500,
"author_id": 867780015323611100,
"author_name": "MKGamer",
"timestamp": "09/03/2022 11:20:48",
"content": "Got it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015642545474244700,
"author_id": 572940454191038460,
"author_name": "Alham",
"timestamp": "09/03/2022 11:20:52",
"content": "👍",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015642594967044200,
"author_id": 867780015323611100,
"author_name": "MKGamer",
"timestamp": "09/03/2022 11:21:04",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015642597756240000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 11:21:05",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
873b993505ec4f84909d78d0ef50ed7a
|
198,230 |
[
{
"id": 1015644691473105200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 11:29:24",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1015646131818070100,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "09/03/2022 11:35:07",
"content": "what's the difference between a ring and a vector space",
"attachments": [],
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},
{
"id": 1015646133940400100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 11:35:08",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1015646131818070100,
"channelId": 486844875632017400,
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{
"id": 1015646243961184300,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 11:35:34",
"content": "do you know google?",
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},
{
"id": 1015646301247000700,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 11:35:48",
"content": "It's a thing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015646350630723600,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "09/03/2022 11:35:59",
"content": "very convenient for definitions",
"attachments": [],
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},
{
"id": 1015647249461686400,
"author_id": 346288140610306050,
"author_name": "Jester",
"timestamp": "09/03/2022 11:39:34",
"content": "lmao",
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},
{
"id": 1015647316906090500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 11:39:50",
"content": "in a ring we multiply ring elements",
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},
{
"id": 1015647364595318900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 11:40:01",
"content": "in a vector space we multiply field elements with vector space elements",
"attachments": [],
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},
{
"id": 1015647393401807000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 11:40:08",
"content": "that gives a very different structure",
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},
{
"id": 1015647466189766800,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "09/03/2022 11:40:25",
"content": "ahhh right you can only multiply vectors with a scalar",
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},
{
"id": 1015647556455383200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 11:40:47",
"content": "there are some sets that are rings and vector spaces",
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},
{
"id": 1015647583613497500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 11:40:53",
"content": "for example the set of polynomials",
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},
{
"id": 1015647600592035800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 11:40:57",
"content": "or the set of matrices",
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},
{
"id": 1015647647274631200,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "09/03/2022 11:41:08",
"content": "the set of reals",
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},
{
"id": 1015647742246277100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 11:41:31",
"content": "yeah ok every field",
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},
{
"id": 1015648039765016600,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "09/03/2022 11:42:42",
"content": "so every field is a vector space but not every vector space is a field?",
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},
{
"id": 1015648056730988500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 11:42:46",
"content": "yes",
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},
{
"id": 1015648100741808300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 11:42:57",
"content": "R^2 is a vector space but not a field",
"attachments": [],
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},
{
"id": 1015648145155297400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 11:43:07",
"content": "ok maybe not the best example cause you can define a field structure on R^2",
"attachments": [],
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},
{
"id": 1015648157910179800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 11:43:10",
"content": "lets take R^3",
"attachments": [],
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},
{
"id": 1015648176205742100,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "09/03/2022 11:43:15",
"content": "do you need to be able to multiply any element in a vector space by any field element of any field",
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},
{
"id": 1015648229662150700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 11:43:27",
"content": "no, a vector space is always over a fixed field",
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},
{
"id": 1015648348688093300,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "09/03/2022 11:43:56",
"content": "is there any intuition for this other than just notation",
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},
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"timestamp": "09/03/2022 11:44:01",
"content": "you can consider some vector spaces over different base fields",
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"timestamp": "09/03/2022 11:44:03",
"content": "like something visual",
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"timestamp": "09/03/2022 11:44:11",
"content": "like considering C^2 as a vector space over C or over R",
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"timestamp": "09/03/2022 11:44:32",
"content": "what do you mean with intuition",
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"timestamp": "09/03/2022 11:44:49",
"content": "it wouldn't really make sense to try to view R^2 as a vector space over Z_2 or something",
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"timestamp": "09/03/2022 11:44:55",
"content": "not sure if there is a nice general visualization",
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"timestamp": "09/03/2022 11:45:06",
"content": "a way to imagine it other than notation",
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"timestamp": "09/03/2022 11:45:17",
"content": "imagine *what* exactly",
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"timestamp": "09/03/2022 11:45:26",
"content": "fields and vector spaces",
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"timestamp": "09/03/2022 11:46:24",
"content": "well the best example for vector spaces is R^n",
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"timestamp": "09/03/2022 11:46:39",
"content": "R^2 is the usual plane and R^3 the usual 3-dim space",
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"timestamp": "09/03/2022 11:46:44",
"content": "fields are basically just sets that you can perform basic addition, subtraction, multiplication and division on, they need to conform to a few axioms",
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"timestamp": "09/03/2022 11:47:02",
"content": "why is it called a field",
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"timestamp": "09/03/2022 11:47:06",
"content": "reasons",
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"timestamp": "09/03/2022 11:47:07",
"content": "who knows",
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"timestamp": "09/03/2022 11:47:08",
"content": "idk",
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"timestamp": "09/03/2022 11:47:49",
"content": "why is it called \"bla\" in math often has no satisfying answer",
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"author_name": "illuminator3",
"timestamp": "09/03/2022 11:48:15",
"content": "what does 'vector space over a field' mean",
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"author_name": "rbit ✨",
"timestamp": "09/03/2022 11:48:44",
"content": "R^3 is a vector space over the reals",
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"timestamp": "09/03/2022 11:49:03",
"content": "we can multiply scalars and vectors",
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"author_name": "rbit ✨",
"timestamp": "09/03/2022 11:49:15",
"content": "so a vector space V over a field F means that all scalar multiplication has to be done with elements of F",
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"timestamp": "09/03/2022 11:49:20",
"content": "when we say \"V is a vector space over the field F\", we mean that the scalars come from F",
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"timestamp": "09/03/2022 11:49:39",
"content": "ahhh",
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"timestamp": "09/03/2022 11:49:46",
"content": "why does it need to be a field for the scalars",
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"timestamp": "09/03/2022 11:49:48",
"content": "why not just a ring",
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"timestamp": "09/03/2022 11:49:58",
"content": "well being able to divide by scalars is nice",
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"timestamp": "09/03/2022 11:50:02",
"content": "gives a lot of nice stuff",
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"timestamp": "09/03/2022 11:50:10",
"content": "but in fact we can do something similar over rings",
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"timestamp": "09/03/2022 11:50:14",
"content": "then it's called a module",
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"timestamp": "09/03/2022 11:50:23",
"content": "but I don't really know shit about them",
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"timestamp": "09/03/2022 11:50:36",
"content": "it is possible to construct something similar with rings yes, but usually its done with fields",
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"timestamp": "09/03/2022 11:50:51",
"content": "so field is a ring with a 1 element, multiplicative commutativity, and division?",
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"timestamp": "09/03/2022 11:51:12",
"content": "why does a ring have additive commutativity but not multiplicative commutativity and a 1 element",
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"timestamp": "09/03/2022 11:51:13",
"content": "yes",
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"timestamp": "09/03/2022 11:51:19",
"content": "what's the reason behind having it like this instead of that",
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"author_name": "Denascite",
"timestamp": "09/03/2022 11:51:31",
"content": "well it turns out that a lot of interesting sets have that structure",
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"timestamp": "09/03/2022 11:51:34",
"content": "like the set of matrices",
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"timestamp": "09/03/2022 11:51:40",
"content": "matrix multiplication is not commutative",
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"timestamp": "09/03/2022 11:51:54",
"content": "but multiplicative identity?",
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"author_name": "Denascite",
"timestamp": "09/03/2022 11:52:01",
"content": "and then someone just decided to call those structures rings",
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"timestamp": "09/03/2022 11:52:20",
"content": "well it depends on the definition of ring",
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"timestamp": "09/03/2022 11:52:26",
"content": "some definitions actually do include that you have a 1",
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"timestamp": "09/03/2022 11:52:33",
"content": "depends on the author",
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"timestamp": "09/03/2022 11:52:44",
"content": "you can construct matrices over rings, then you have a \"vector space\" over a ring, like if you calculate characteristic polynomials you have a matrix of polynomials",
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"timestamp": "09/03/2022 11:52:51",
"content": "what ring doesn't have a multiplicative identity?",
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"timestamp": "09/03/2022 11:53:15",
"content": "for example 2Z",
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"timestamp": "09/03/2022 11:53:32",
"content": "i.e. {..., -4, -2, 0, 2, 4, ...}",
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"timestamp": "09/03/2022 11:53:46",
"content": "but again, depending on definition this might not be called a ring",
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"timestamp": "09/03/2022 11:54:28",
"content": "so we just don't care that we cannot divide by a scalar?",
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"timestamp": "09/03/2022 11:55:04",
"content": "> you have a matrix of polynomials\nwdym with this",
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"timestamp": "09/03/2022 11:55:06",
"content": "for determinants we dont need division, so we dont care in that case",
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"timestamp": "09/03/2022 11:55:11",
"content": "well what exactly do you mean with \"we don't care\". of course we care. but what else should we do",
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"timestamp": "09/03/2022 11:55:11",
"content": "ohhh wait I get it",
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"timestamp": "09/03/2022 11:55:27",
"content": "we take what we can get",
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"author_name": "illuminator3",
"timestamp": "09/03/2022 11:55:49",
"content": "so we ideally want to constructor a vector space over a field but a ring is better than nothing?",
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"timestamp": "09/03/2022 11:55:55",
"content": "what does the notation 2Z mean",
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"timestamp": "09/03/2022 11:56:00",
"content": "2*Z",
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"timestamp": "09/03/2022 11:56:08",
"content": "yes a ring is better than nothing",
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"timestamp": "09/03/2022 11:56:12",
"content": "{ 2e | e \\in Z }?",
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"timestamp": "09/03/2022 11:56:14",
"content": "yes",
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"timestamp": "09/03/2022 11:56:16",
"content": "ah",
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"timestamp": "09/03/2022 11:56:48",
"content": "every structure we can get is better than nothing",
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"timestamp": "09/03/2022 11:56:58",
"content": "'structure'?",
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"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 11:57:15",
"content": "field, ring, group, vector space, whatever",
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"timestamp": "09/03/2022 11:57:30",
"content": "in response to this",
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"id": 1015651790399742000,
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"timestamp": "09/03/2022 11:57:36",
"content": "ah",
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"timestamp": "09/03/2022 11:57:38",
"content": "what's a group?",
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"id": 1015651915599712400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 11:58:06",
"content": "a set with one operation that has associativity, an identity and inverse elements",
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"timestamp": "09/03/2022 11:58:15",
"content": "example pls?",
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"id": 1015651983924924400,
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"author_name": "Denascite",
"timestamp": "09/03/2022 11:58:22",
"content": "Z under addition",
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"timestamp": "09/03/2022 11:58:40",
"content": "in general the additive part of every group",
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"timestamp": "09/03/2022 11:58:47",
"content": "minus that it doesn't have to be commutative",
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"timestamp": "09/03/2022 11:58:51",
"content": "ahhhh",
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"timestamp": "09/03/2022 11:58:53",
"content": "Z under addition even is a commutative group",
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"timestamp": "09/03/2022 11:58:59",
"content": "the set of invertible matrices under multiplication",
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"timestamp": "09/03/2022 11:59:18",
"content": "abelian group?",
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"timestamp": "09/03/2022 11:59:45",
"content": "so a field is more powerful than a ring which is more powerful than a group?",
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"timestamp": "09/03/2022 11:59:48",
"content": "yes",
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"timestamp": "09/03/2022 11:59:50",
"content": "essentially",
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"author_name": "illuminator3",
"timestamp": "09/03/2022 11:59:54",
"content": "what's an abelian group",
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"author_name": "Denascite",
"timestamp": "09/03/2022 12:00:07",
"content": "a group where the operation is commutative",
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"author_name": "Denascite",
"timestamp": "09/03/2022 12:00:14",
"content": "don't ask me why that's also called abelian",
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"author_name": "illuminator3",
"timestamp": "09/03/2022 12:00:33",
"content": "wouldn't have thought algebra is this interesting",
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"id": 1015652555444994200,
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"timestamp": "09/03/2022 12:00:39",
"content": "oh it is",
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"id": 1015652566731854000,
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"timestamp": "09/03/2022 12:00:41",
"content": "it's super interesting",
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"author_name": "illuminator3",
"timestamp": "09/03/2022 12:00:49",
"content": "yea gonna be taking it next semester",
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"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "09/03/2022 12:00:59",
"content": "there are even sets with even less structure",
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"id": 1015652651985276900,
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"author_name": "Denascite",
"timestamp": "09/03/2022 12:01:02",
"content": "have fun",
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{
"id": 1015652676358373400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 12:01:07",
"content": "it's super abstract",
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},
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"id": 1015652695178223600,
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"author_name": "Denascite",
"timestamp": "09/03/2022 12:01:12",
"content": "but also super interesting",
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},
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"author_name": "illuminator3",
"timestamp": "09/03/2022 12:01:18",
"content": "less structure as in a structure that is 'less powerful'?",
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"author_name": "rbit ✨",
"timestamp": "09/03/2022 12:01:23",
"content": "monoid, semigroup, magma ..",
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"id": 1015652772164673500,
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"author_name": "Denascite",
"timestamp": "09/03/2022 12:01:30",
"content": "yes",
"attachments": [],
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"id": 1015652794407067800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 12:01:36",
"content": "for example we might not have inverses",
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"id": 1015652815051432000,
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"author_name": "Denascite",
"timestamp": "09/03/2022 12:01:41",
"content": "think Z under multiplication",
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"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "09/03/2022 12:01:42",
"content": "like a magma does only require a binary operator, nothing else",
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"author_name": "illuminator3",
"timestamp": "09/03/2022 12:02:04",
"content": "what is that called then?",
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"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 12:02:15",
"content": "or only associativity, not even an identity, like 2Z under multiplication",
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},
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"id": 1015652988053889200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 12:02:22",
"content": "I forgot the names",
"attachments": [],
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},
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"id": 1015653004243910800,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "09/03/2022 12:02:26",
"content": "semigroup requires associativity",
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"id": 1015653149391978600,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "09/03/2022 12:03:00",
"content": "with identity elements it becomes a monoid",
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"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "09/03/2022 12:03:10",
"content": "only and nothing else?",
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"author_name": "rbit ✨",
"timestamp": "09/03/2022 12:03:43",
"content": "yes only that (ofc we will always require our operator to be \"closed\")",
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"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "09/03/2022 12:03:54",
"content": "what does it mean for an operator to be closed",
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"id": 1015653462001860600,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "09/03/2022 12:04:15",
"content": "it will always generate elements inside our set",
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"id": 1015653485770965000,
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"author_name": "illuminator3",
"timestamp": "09/03/2022 12:04:20",
"content": "ah",
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"id": 1015653514766204900,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "09/03/2022 12:04:27",
"content": "integers arent closed under division",
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{
"id": 1015653558017855600,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "09/03/2022 12:04:38",
"content": "so magma -> semigroup -> monoid -> group -> ring -> field?",
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"id": 1015653690419462300,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "09/03/2022 12:05:09",
"content": "yeah pretty much, there are some branches with having commutativity",
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"id": 1015653698564796400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 12:05:11",
"content": "and there is also stuff like skew fields or division algebras or something",
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{
"id": 1015653759382200400,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "09/03/2022 12:05:26",
"content": "does a magma also require its operation to be closed",
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"id": 1015653779921715200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 12:05:31",
"content": "but the important ones are groups, rings, fields",
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"id": 1015653830790230000,
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"timestamp": "09/03/2022 12:05:43",
"content": "yes",
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"id": 1015653996310044700,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "09/03/2022 12:06:22",
"content": "no idea what most of these are",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1015653995521511554/1920px-Algebraic_structures_-_magma_to_group.svg.png",
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"timestamp": "09/03/2022 12:06:38",
"content": "probably very unimportant for now",
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"id": 1015654247708250200,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "09/03/2022 12:07:22",
"content": "does divisibility imply invertibility",
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"id": 1015654317069447200,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "09/03/2022 12:07:39",
"content": "no idea lop",
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"id": 1015654335914463400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 12:07:43",
"content": "in algebra we define division by inverses",
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"id": 1015654370471317600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 12:07:51",
"content": "we don't actually talk about division",
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},
{
"id": 1015654460405583900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 12:08:13",
"content": "like when we divide by 2, we can instead multiply by 1/2. and 1/2 is the inverse of 2",
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"id": 1015654502222799000,
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"author_name": "Denascite",
"timestamp": "09/03/2022 12:08:23",
"content": "so in the end its just multiplication again",
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"id": 1015654526390378600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 12:08:29",
"content": "same for subtraction btw",
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"id": 1015654527648677900,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "09/03/2022 12:08:29",
"content": "a/b is only special notation for a * (b^-1)",
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"id": 1015654579460907000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 12:08:41",
"content": "when we want to subtract 2, we instead add -2",
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"id": 1015654627582152800,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "09/03/2022 12:08:53",
"content": "if we set b^-1 as multiplication inverse",
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"id": 1015655033624334300,
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"author_name": "rbit ✨",
"timestamp": "09/03/2022 12:10:29",
"content": "field are pretty easy to remember id say, we have associativity, commutativity, identity and inverse for both addition and multiplication, 0≠1 and distributivity to combine our two operators",
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"id": 1015655089752518700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 12:10:43",
"content": "essentially in a field we have everything we want",
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},
{
"id": 1015655171738575000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 12:11:02",
"content": "everything that you are used to being able to do from Q or R",
"attachments": [],
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},
{
"id": 1015655260984987600,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "09/03/2022 12:11:24",
"content": "we can even extend these definition to ordered fields if we want to compare elements",
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},
{
"id": 1015655551725748400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 12:12:33",
"content": "although you'll probably see the definition of ordered fields in an analysis course and not in an algebra course",
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},
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"id": 1015655614451556400,
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"author_name": "Denascite",
"timestamp": "09/03/2022 12:12:48",
"content": "or at least I did. algebra courses already have a lot of other stuff to cover",
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"id": 1015657213307658400,
"author_id": 737614205003497500,
"author_name": "rbit ✨",
"timestamp": "09/03/2022 12:19:09",
"content": "oh now i know why they call it divisibility sometimes, because when there isnt any identity element we cant define inverses, so instead we require that for any a and b, we have x and y, so that\na\\*x = b\ny\\*a = b\nwhich seems to be called right and left division",
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"id": 1015657962406158300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/03/2022 12:22:08",
"content": "ah yeah good point. sets without an identity are whack tho",
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},
{
"id": 1015658091846586400,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "09/03/2022 12:22:39",
"content": "am back",
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},
{
"id": 1015658123094151300,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "09/03/2022 12:22:46",
"content": "yea",
"attachments": [],
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},
{
"id": 1015658130702610600,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "09/03/2022 12:22:48",
"content": "thanks guys",
"attachments": [],
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},
{
"id": 1015658149367271400,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "09/03/2022 12:22:52",
"content": "<o/",
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},
{
"id": 1015658152177438700,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "09/03/2022 12:22:53",
"content": ".close",
"attachments": [],
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},
{
"id": 1015658155486752800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 12:22:54",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
841e5065bc5c42d2aa1b98acbdf7996c
|
198,231 |
[
{
"id": 1015667507215990800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 13:00:03",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1015667551428157600,
"author_id": 751138135617830900,
"author_name": "LokiSeidrGod",
"timestamp": "09/03/2022 13:00:14",
"content": "Help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015667553739227300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 13:00:15",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
"messageId": 1015667551428157600,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1015667590120620000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "09/03/2022 13:00:23",
"content": "Helped.",
"attachments": [],
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"reference": null
},
{
"id": 1015667660920463400,
"author_id": 751138135617830900,
"author_name": "LokiSeidrGod",
"timestamp": "09/03/2022 13:00:40",
"content": "How does one factorize 2x^2-9x+4",
"attachments": [],
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"reference": null
},
{
"id": 1015667762598776800,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "09/03/2022 13:01:04",
"content": "I would factories it by finding zero values first",
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},
{
"id": 1015667795104628900,
"author_id": 751138135617830900,
"author_name": "LokiSeidrGod",
"timestamp": "09/03/2022 13:01:12",
"content": "I see you also have a Oneiros pfp, nice.",
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},
{
"id": 1015667870342074400,
"author_id": 751138135617830900,
"author_name": "LokiSeidrGod",
"timestamp": "09/03/2022 13:01:30",
"content": "What do you mean zero values?",
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},
{
"id": 1015667872606994400,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "09/03/2022 13:01:31",
"content": "Oikos",
"attachments": [],
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},
{
"id": 1015667991456784500,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "09/03/2022 13:01:59",
"content": "x values when y=0",
"attachments": [],
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},
{
"id": 1015668124982464600,
"author_id": 751138135617830900,
"author_name": "LokiSeidrGod",
"timestamp": "09/03/2022 13:02:31",
"content": "So that would be 2(0)^2-9(0)+4?",
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},
{
"id": 1015668363768365000,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "09/03/2022 13:03:28",
"content": "No",
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},
{
"id": 1015668383355764900,
"author_id": 751138135617830900,
"author_name": "LokiSeidrGod",
"timestamp": "09/03/2022 13:03:32",
"content": "No, I guess not. That doesn't make much sense lmao",
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},
{
"id": 1015668398878904600,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "09/03/2022 13:03:36",
"content": "x=0 isn't always a zero value",
"attachments": [],
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},
{
"id": 1015668450691125400,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "09/03/2022 13:03:48",
"content": "y=2x^2-9x+4",
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},
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"id": 1015668563115257900,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "09/03/2022 13:04:15",
"content": "Did u learn the quadratic formula",
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},
{
"id": 1015668563719241900,
"author_id": 751138135617830900,
"author_name": "LokiSeidrGod",
"timestamp": "09/03/2022 13:04:15",
"content": "Do go on fellow dream of the endless",
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},
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"id": 1015668605045702800,
"author_id": 751138135617830900,
"author_name": "LokiSeidrGod",
"timestamp": "09/03/2022 13:04:25",
"content": "Hmm, I believe not",
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},
{
"id": 1015668716547092500,
"author_id": 751138135617830900,
"author_name": "LokiSeidrGod",
"timestamp": "09/03/2022 13:04:52",
"content": "Could you write it down? I don't remember math formula names",
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},
{
"id": 1015669612899213400,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "09/03/2022 13:08:25",
"content": "Look at your course",
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},
{
"id": 1015669670285676500,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "09/03/2022 13:08:39",
"content": "Have they done an example",
"attachments": [],
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},
{
"id": 1015669824355061800,
"author_id": 751138135617830900,
"author_name": "LokiSeidrGod",
"timestamp": "09/03/2022 13:09:16",
"content": "Aight I'm supposed to factorize it, but it gives me (2x-1)(x-4)",
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},
{
"id": 1015669911600758900,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "09/03/2022 13:09:37",
"content": "How did u get that",
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},
{
"id": 1015669957301903500,
"author_id": 751138135617830900,
"author_name": "LokiSeidrGod",
"timestamp": "09/03/2022 13:09:48",
"content": "Mathway 👀",
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},
{
"id": 1015670128563716200,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "09/03/2022 13:10:28",
"content": "Did your course do a factorization example or talk about it",
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},
{
"id": 1015670202257645700,
"author_id": 751138135617830900,
"author_name": "LokiSeidrGod",
"timestamp": "09/03/2022 13:10:46",
"content": "Yeah, but with more simple terms",
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},
{
"id": 1015670261611249800,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "09/03/2022 13:11:00",
"content": "Show",
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},
{
"id": 1015670291155914800,
"author_id": 751138135617830900,
"author_name": "LokiSeidrGod",
"timestamp": "09/03/2022 13:11:07",
"content": "Say the first number wasn't squared",
"attachments": [],
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},
{
"id": 1015670364388470900,
"author_id": 751138135617830900,
"author_name": "LokiSeidrGod",
"timestamp": "09/03/2022 13:11:25",
"content": "the first variable wouldn't be say 7x^2",
"attachments": [],
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},
{
"id": 1015670378661683300,
"author_id": 751138135617830900,
"author_name": "LokiSeidrGod",
"timestamp": "09/03/2022 13:11:28",
"content": "aight",
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},
{
"id": 1015670598841667700,
"author_id": 751138135617830900,
"author_name": "LokiSeidrGod",
"timestamp": "09/03/2022 13:12:21",
"content": "uhm",
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},
{
"id": 1015670625815244900,
"author_id": 751138135617830900,
"author_name": "LokiSeidrGod",
"timestamp": "09/03/2022 13:12:27",
"content": "I didn't solve it",
"attachments": [],
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},
{
"id": 1015670805461467100,
"author_id": 751138135617830900,
"author_name": "LokiSeidrGod",
"timestamp": "09/03/2022 13:13:10",
"content": "it was x^2-2x-48",
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},
{
"id": 1015670916484714500,
"author_id": 751138135617830900,
"author_name": "LokiSeidrGod",
"timestamp": "09/03/2022 13:13:36",
"content": "It gave (x-8)(x+6)",
"attachments": [],
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},
{
"id": 1015670979961303200,
"author_id": 751138135617830900,
"author_name": "LokiSeidrGod",
"timestamp": "09/03/2022 13:13:51",
"content": "I guess I kinda missed the part where they explained",
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},
{
"id": 1015670981244756100,
"author_id": 485164773647056900,
"author_name": "Gooaaa",
"timestamp": "09/03/2022 13:13:52",
"content": "https://youtu.be/ZGmKQa45PVw",
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},
{
"id": 1015671112564211700,
"author_id": 751138135617830900,
"author_name": "LokiSeidrGod",
"timestamp": "09/03/2022 13:14:23",
"content": "I shall watch this then, ty very much Mr Dream",
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},
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"id": 1015674888780001400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 13:29:23",
"content": "@LokiSeidrGod Has your question been resolved?",
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"timestamp": "09/03/2022 13:36:55",
"content": "Channel closed",
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}
] |
help-9
|
3f7a67a3a6714046800181c0beb60ed4
|
198,232 |
[
{
"id": 1015677034778869900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 13:37:55",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1015677146653524000,
"author_id": 360764798775984100,
"author_name": "Acid",
"timestamp": "09/03/2022 13:38:22",
"content": "Can someone please help",
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"timestamp": "09/03/2022 13:38:22",
"content": "Pinned a message.",
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"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 13:53:22",
"content": "@Acid Has your question been resolved?",
"attachments": [],
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"timestamp": "09/03/2022 14:23:44",
"content": "@Acid Has your question been resolved?",
"attachments": [],
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"author_name": "crescentshrey",
"timestamp": "09/03/2022 14:44:50",
"content": "did you try power of point maybe",
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},
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"id": 1015696117389852800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 14:53:45",
"content": "Channel closed",
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}
] |
help-9
|
e2ee52cf2f01417396efba315592c2aa
|
198,233 |
[
{
"id": 1015696369828253700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 14:54:45",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1015697292772245500,
"author_id": 898592085215674500,
"author_name": "Samat127",
"timestamp": "09/03/2022 14:58:25",
"content": "Which number that multiple with a/b gives b/a and a and b is whole numbers and a and b isn't 0?",
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},
{
"id": 1015697294944903200,
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"content": "Pinned a message.",
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{
"id": 1015697886027190400,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "09/03/2022 15:00:46",
"content": "so you need is $x \\cdot \\frac ab = \\frac ba$",
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},
{
"id": 1015697895451803800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/03/2022 15:00:49",
"content": "**Deep.**",
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"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "09/03/2022 15:01:06",
"content": "Solve for x",
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},
{
"id": 1015698001366360200,
"author_id": 898592085215674500,
"author_name": "Samat127",
"timestamp": "09/03/2022 15:01:14",
"content": "Ok",
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},
{
"id": 1015698128139210800,
"author_id": 898592085215674500,
"author_name": "Samat127",
"timestamp": "09/03/2022 15:01:44",
"content": "Ohhh",
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},
{
"id": 1015698194711199700,
"author_id": 898592085215674500,
"author_name": "Samat127",
"timestamp": "09/03/2022 15:02:00",
"content": "A is a*a and b is b*b",
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},
{
"id": 1015698277032796200,
"author_id": 898592085215674500,
"author_name": "Samat127",
"timestamp": "09/03/2022 15:02:20",
"content": "a*a",
"attachments": [],
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},
{
"id": 1015698302198620300,
"author_id": 898592085215674500,
"author_name": "Samat127",
"timestamp": "09/03/2022 15:02:26",
"content": "b*b",
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},
{
"id": 1015698716511981700,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "09/03/2022 15:04:04",
"content": "Not sure what you mean by that",
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},
{
"id": 1015698755560943700,
"author_id": 898592085215674500,
"author_name": "Samat127",
"timestamp": "09/03/2022 15:04:14",
"content": "So a multiple with a divide with b multiple with b is the number",
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},
{
"id": 1015698791233491000,
"author_id": 898592085215674500,
"author_name": "Samat127",
"timestamp": "09/03/2022 15:04:22",
"content": "I can't write the small 2",
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},
{
"id": 1015698921965760600,
"author_id": 898592085215674500,
"author_name": "Samat127",
"timestamp": "09/03/2022 15:04:53",
"content": "Oops",
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},
{
"id": 1015698994929868800,
"author_id": 898592085215674500,
"author_name": "Samat127",
"timestamp": "09/03/2022 15:05:11",
"content": "I mean b with small 2 divide with a with small 2 is the number",
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},
{
"id": 1015699143605362800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "09/03/2022 15:05:46",
"content": "bb/aa yes",
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},
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"id": 1015699198429106200,
"author_id": 898592085215674500,
"author_name": "Samat127",
"timestamp": "09/03/2022 15:05:59",
"content": "Yea",
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},
{
"id": 1015699278573883400,
"author_id": 898592085215674500,
"author_name": "Samat127",
"timestamp": "09/03/2022 15:06:18",
"content": "Thanks for the help",
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},
{
"id": 1015699298618462200,
"author_id": 898592085215674500,
"author_name": "Samat127",
"timestamp": "09/03/2022 15:06:23",
"content": ".close",
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},
{
"id": 1015699301785153700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 15:06:24",
"content": "Channel closed",
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}
] |
help-9
|
48b4c4c567454f8d9fd1d4be31065502
|
198,234 |
[
{
"id": 1015707673813078000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 15:39:40",
"content": "Available help channel!",
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},
{
"id": 1015707866482626700,
"author_id": 869988452077289600,
"author_name": "WillHCubed",
"timestamp": "09/03/2022 15:40:26",
"content": "does anyone know what the coordinates of the third parallelogram would be?",
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"content": "Pinned a message.",
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"author_id": 869988452077289600,
"author_name": "WillHCubed",
"timestamp": "09/03/2022 15:52:33",
"content": "Anyone?",
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},
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"id": 1015714693022744700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 16:07:33",
"content": "@WillHCubed Has your question been resolved?",
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{
"id": 1015718735430033400,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 16:23:37",
"content": "well",
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},
{
"id": 1015718955089932400,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 16:24:30",
"content": "itll still be parallel to the line with the same length",
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},
{
"id": 1015718979597250700,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 16:24:35",
"content": "so just represent it that way",
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},
{
"id": 1015719078717050900,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 16:24:59",
"content": "but idk feels like quite a bad way to prove",
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},
{
"id": 1015719100682604700,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 16:25:04",
"content": "areas the same",
"attachments": [],
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},
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"id": 1015719288918769700,
"author_id": 187850624421986300,
"author_name": "Circle",
"timestamp": "09/03/2022 16:25:49",
"content": "just say that as those 2 coordinates move, height and length is the same thus areas is same",
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},
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"id": 1015719421462974500,
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"content": "",
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"timestamp": "09/03/2022 16:43:58",
"content": "@WillHCubed Has your question been resolved?",
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"timestamp": "09/03/2022 16:57:34",
"content": "Channel closed",
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}
] |
help-9
|
d684018767354ac1a9d1913df1d53302
|
198,235 |
[
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"timestamp": "09/03/2022 16:58:34",
"content": "Available help channel!",
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},
{
"id": 1015729808602308700,
"author_id": 348915460793958400,
"author_name": "Shrike",
"timestamp": "09/03/2022 17:07:37",
"content": "Used the first derivative test and thought that option A was right but had it marked wrong, what did I mess up here?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 17:07:38",
"content": "Pinned a message.",
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"timestamp": "09/03/2022 17:10:26",
"content": "since x = 1 is the point of interest, I checked the derivative to the left (set x to 0):\n\n(0-1 = negative, 0+5 = positive, combined equal negative)",
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"timestamp": "09/03/2022 17:11:14",
"content": "and to the right, setting x to 2: \n\n(2-1 = positive, 2+5 = positive, combined equal positive",
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"timestamp": "09/03/2022 17:11:48",
"content": "the derivative is a quartic though",
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"timestamp": "09/03/2022 17:11:51",
"content": "so this",
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"timestamp": "09/03/2022 17:12:02",
"content": "so you don't have a product of 2 things",
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"timestamp": "09/03/2022 17:12:05",
"content": "but 4",
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"timestamp": "09/03/2022 17:12:41",
"content": "wait so what point did I go wrong at then?",
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"timestamp": "09/03/2022 17:12:42",
"content": "also it's 1 and 4 btw, not 1 and 5",
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"timestamp": "09/03/2022 17:13:06",
"content": "when you write it as a product, it shouldn't be a degree 2 polynomial",
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"timestamp": "09/03/2022 17:13:10",
"content": "but a degree 4",
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"timestamp": "09/03/2022 17:13:24",
"content": "in this case with (x²-1) instead I think",
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"timestamp": "09/03/2022 17:13:33",
"content": ",w factor x^4 - 5x² + 4",
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"timestamp": "09/03/2022 17:13:35",
"content": "Results provided by WolframAlpha",
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"timestamp": "09/03/2022 17:13:40",
"content": "yes",
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"timestamp": "09/03/2022 17:14:17",
"content": "oh so I messed up with the factoring",
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"timestamp": "09/03/2022 17:14:31",
"content": "although the sign of x²-1 is the same as that of x-1 in the area",
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"timestamp": "09/03/2022 17:15:00",
"content": "but you have x²-4 instead",
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"timestamp": "09/03/2022 17:15:04",
"content": "making the signs inverted",
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"timestamp": "09/03/2022 17:15:10",
"content": "compared to what you had",
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"timestamp": "09/03/2022 17:18:57",
"content": "is that clear ?",
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"timestamp": "09/03/2022 17:19:48",
"content": "So taking it from the top.\n\n1. I have to factor this as a degree 4 polynomial",
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"timestamp": "09/03/2022 17:20:13",
"content": "so basically disregard the bottom step and just straight up factor the top one as a 4th degree poly?",
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"timestamp": "09/03/2022 17:20:31",
"content": "you did it with the same idea as me actually. You just messed up when doing it",
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"timestamp": "09/03/2022 17:20:53",
"content": "considering it as a quadratic in x² is the usual strat for these (and polynomials where all degrees are even in general)",
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"timestamp": "09/03/2022 17:21:06",
"content": "just need to factor it properly",
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"timestamp": "09/03/2022 17:21:22",
"content": "product of 4, sum of 5 -> 1 and 4 are the roots",
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"timestamp": "09/03/2022 17:21:27",
"content": "that's what you messed up",
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"author_name": "themateo713",
"timestamp": "09/03/2022 17:21:36",
"content": "and forgetting x² was the indeterminate rather than x",
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"timestamp": "09/03/2022 17:22:05",
"content": "tbh I didn't even remember about degrees of polynomials, I can't remember studying them lol",
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"author_name": "Shrike",
"timestamp": "09/03/2022 17:22:09",
"content": "that was a really helpful tip",
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"id": 1015733625901306000,
"author_id": 348915460793958400,
"author_name": "Shrike",
"timestamp": "09/03/2022 17:22:47",
"content": "yeah I realize I switched the sum and product for those oof",
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"timestamp": "09/03/2022 17:22:49",
"content": "you didn't know that ?",
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"author_name": "Shrike",
"timestamp": "09/03/2022 17:23:59",
"content": "No, I was following along with a yt guide that was factoring exponents with just x^2",
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"author_name": "Shrike",
"timestamp": "09/03/2022 17:24:11",
"content": "and just assumed it was the same for stuff with x^4",
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"author_name": "themateo713",
"timestamp": "09/03/2022 17:24:29",
"content": "things aren't the same until proven so",
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"id": 1015734095021604900,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "09/03/2022 17:24:39",
"content": "general rule in math: if it's not proven it's wrong",
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"id": 1015734141075079200,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "09/03/2022 17:24:50",
"content": "if it feels like it should be true, try to prove it",
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"timestamp": "09/03/2022 17:25:36",
"content": "gotchaa",
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"author_name": "themateo713",
"timestamp": "09/03/2022 17:26:45",
"content": "quadratics have a lot of applications outside of things that are very explicitly quadratics:\nLike quadratics in some variables: x^4 + x^2 + 1 is a quadratic in x², 4^x + 3*2^x + 8 is a quadratic in 2^x\nOr things that can be brought back to quadratics: x + 1 = 1/x is a quadratic once multiplied by x (just need to remember x = 0 can't be a solution for such things)",
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"author_name": "Shrike",
"timestamp": "09/03/2022 17:28:48",
"content": "I dimly get it. Let me work through running the number line on this factored number rq",
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"timestamp": "09/03/2022 17:28:50",
"content": "the first kind of application is particularly nice because it means all theory on quadratics is available, such as (most notably) to find the extremum of the function",
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"author_name": "Shrike",
"timestamp": "09/03/2022 17:35:42",
"content": "All right I'm stuck again, I'm not sure how to plug a number into x with more than two different checks",
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"author_name": "Shrike",
"timestamp": "09/03/2022 17:36:04",
"content": "so I have this",
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"timestamp": "09/03/2022 17:36:13",
"content": "and now I have to run a number line test",
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"timestamp": "09/03/2022 17:37:11",
"content": "I didn't ever try to work with x rather than x². The advantage of using x² is that it makes a product of half as many things",
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"timestamp": "09/03/2022 17:37:38",
"content": "which let me find the signs around -1 very easily",
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"timestamp": "09/03/2022 17:37:50",
"content": "while 4 factors is a bit more to handle",
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"author_name": "Shrike",
"timestamp": "09/03/2022 17:39:50",
"content": "Oh so you're saying to work with (x^2 - 1) and (x^2 - 2) instead?",
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"timestamp": "09/03/2022 17:40:05",
"content": "I think I'm getting those wrong actually",
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"timestamp": "09/03/2022 17:40:45",
"content": "x²-4",
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"timestamp": "09/03/2022 17:40:49",
"content": "not x²-2",
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"timestamp": "09/03/2022 17:41:26",
"content": "but you should find + 1 - as your sign table no matter the method",
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"author_name": "Shrike",
"timestamp": "09/03/2022 17:43:06",
"content": "so I plug numbers into just (x²-4) to find the + and - on either side of 1?",
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"timestamp": "09/03/2022 17:43:52",
"content": "no, into the whole product of course",
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"timestamp": "09/03/2022 17:44:00",
"content": "you're trying to find the sign of the derivative",
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"timestamp": "09/03/2022 17:49:31",
"content": "So this then?",
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"timestamp": "09/03/2022 17:49:45",
"content": "and then since I want the deriviative sign on either side of 1",
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"timestamp": "09/03/2022 17:50:13",
"content": "I plug 2 into both of these",
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"content": "as you'll notice, 2 is a root so that's too far away from 1",
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"timestamp": "09/03/2022 17:50:45",
"content": "+ , 0",
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"author_name": "Shrike",
"timestamp": "09/03/2022 17:50:54",
"content": "Yeah that's why it gives me a 0 right",
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"timestamp": "09/03/2022 17:51:05",
"content": "also it's just simpler to think in terms of quantities than actual operations",
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"timestamp": "09/03/2022 17:51:14",
"content": "like just look at each term and find the sign",
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"timestamp": "09/03/2022 17:51:42",
"content": "I'd just think + and -, not like 0.1 * (-2.9) < 0 you know",
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"timestamp": "09/03/2022 17:55:13",
"content": "I think I have to do an operation because its still not clicking for me sadly, even something relatively simple as this is frustrating",
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"timestamp": "09/03/2022 17:56:23",
"content": "to be fair, I say that because it's something I've internalized so I don't spend time doing computations, but until you have intenalized this, you do have to get a bit more manual with it",
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"timestamp": "09/03/2022 17:57:41",
"content": "So I took the long way and plugged in 1.5 into the product",
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"timestamp": "09/03/2022 17:57:52",
"content": "and got a negative on the right",
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"timestamp": "09/03/2022 17:58:46",
"content": "and then .5 into the product for the left side and got two negatives to make a positive",
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},
{
"id": 1015742723610923000,
"author_id": 348915460793958400,
"author_name": "Shrike",
"timestamp": "09/03/2022 17:58:56",
"content": "so + 1 - like you said",
"attachments": [],
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},
{
"id": 1015742751335272400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "09/03/2022 17:59:03",
"content": "as expected yes",
"attachments": [],
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},
{
"id": 1015742873519538300,
"author_id": 348915460793958400,
"author_name": "Shrike",
"timestamp": "09/03/2022 17:59:32",
"content": "I'll have to admit I'm really bad at factoring, definitely going to have to work on this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015742903051624600,
"author_id": 348915460793958400,
"author_name": "Shrike",
"timestamp": "09/03/2022 17:59:39",
"content": "thanks for your help though for sure!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015743101391876100,
"author_id": 348915460793958400,
"author_name": "Shrike",
"timestamp": "09/03/2022 18:00:26",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015743104260767900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 18:00:27",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
2ed2670178984c448c021ea8309a2d31
|
198,236 |
[
{
"id": 1015743356833378400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 18:01:27",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015745855233470500,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "09/03/2022 18:11:23",
"content": "",
"attachments": [
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{
"id": 1015745857183813600,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "09/03/2022 18:11:23",
"content": "Yo",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015745857397739500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 18:11:24",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1015745855233470500,
"channelId": 486844875632017400,
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}
},
{
"id": 1015745899101704200,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "09/03/2022 18:11:33",
"content": "Could I have some help with solving this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015746009336393700,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "09/03/2022 18:12:00",
"content": "Honestly I have no idea how to tackle this, I'm doing practing a past paper exam and I've never seen a question like this before",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015746234151084000,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "09/03/2022 18:12:53",
"content": "nevermind i got it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015746257538531300,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "09/03/2022 18:12:59",
"content": "i just had to memorize the table",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015746278577147900,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "09/03/2022 18:13:04",
"content": "unit circle thing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015746286282096800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "09/03/2022 18:13:06",
"content": "pretty sure you just memorize the answer here",
"attachments": [],
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"reference": null
},
{
"id": 1015746316338479100,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "09/03/2022 18:13:13",
"content": "yeah",
"attachments": [],
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"reference": null
},
{
"id": 1015746331131772900,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "09/03/2022 18:13:16",
"content": "thanks for your time",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015746335921680500,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "09/03/2022 18:13:18",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1015746338543112300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 18:13:18",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
0efa48ce779c405091536ef7dbb98b11
|
198,237 |
[
{
"id": 1015748382922375200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 18:21:26",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015750292463173800,
"author_id": 352841007936831500,
"author_name": "pipoca",
"timestamp": "09/03/2022 18:29:01",
"content": "anyone know how to do the bearing question",
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"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 18:29:02",
"content": "Pinned a message.",
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"id": 1015750301308952700,
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"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 18:29:03",
"content": null,
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},
{
"id": 1015750445735616600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/03/2022 18:29:37",
"content": "",
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"id": 1015750678183940200,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "09/03/2022 18:30:33",
"content": "Don't open more than one channel",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015754068465041500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 18:44:01",
"content": "@pipoca Has your question been resolved?",
"attachments": [],
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"id": 1015757844945051800,
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"timestamp": "09/03/2022 18:59:02",
"content": "Channel closed",
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}
] |
help-9
|
461ff2674bfa4aabb60fd1fa278293d8
|
198,238 |
[
{
"id": 960505708875501700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/04/2022 07:46:46",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 960515545025871900,
"author_id": 665305426887311400,
"author_name": "elpimS",
"timestamp": "04/04/2022 08:25:51",
"content": "hey can someone help with this\n(problem solving w/trigonometry)",
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"id": 960515547227881500,
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"timestamp": "04/04/2022 08:25:51",
"content": "Pinned a message.",
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"id": 960517837519212500,
"author_id": 665305426887311400,
"author_name": "elpimS",
"timestamp": "04/04/2022 08:34:58",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 960518702225326100,
"author_id": 663459803863187500,
"author_name": "The Mysterious Stranger",
"timestamp": "04/04/2022 08:38:24",
"content": "Triangle ABT and ABF is a right triangle. Use one of the trigonometric functions for one of the angles",
"attachments": [],
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"reference": null
},
{
"id": 960519001094627300,
"author_id": 561270415008333800,
"author_name": "Calamity",
"timestamp": "04/04/2022 08:39:35",
"content": "You can start by letting the length of flagpole be x then focus on two triangles ABT and ABE that has the base AB in common then make two equations that focus x and solve for x",
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"timestamp": "04/04/2022 08:49:58",
"content": "@elpimS Has your question been resolved?",
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"id": 960525389011243000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/04/2022 09:04:58",
"content": "Channel closed",
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}
] |
help-9
|
836cadfe85494778891f046f307f5fce
|
198,239 |
[
{
"id": 1015758096838176800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 19:00:02",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015759139936415900,
"author_id": 683211807967805400,
"author_name": "PKLJ",
"timestamp": "09/03/2022 19:04:10",
"content": "I'm currently trying to understand the basic principle of the monthly loan payment formula, if someone could help that'd be great\ni have a sample problem here and the given explanation of the formula's utility, and i understand how to use the formula to find the monthly pay amount, but im not sure why it works, especially the 1-(1+interest rate/monthly)^-12*3\nill send an image, one second",
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},
{
"id": 1015759142159396900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 19:04:11",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1015759436561776800,
"author_id": 683211807967805400,
"author_name": "PKLJ",
"timestamp": "09/03/2022 19:05:21",
"content": "first image is the sample problem, second is the given explanation on solving it\n(the part in the end of the question about accruing simple interest for 4 years are parts of a later problem, but dont matter for this one and can be ignored)",
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{
"id": 1015759504400461800,
"author_id": 683211807967805400,
"author_name": "PKLJ",
"timestamp": "09/03/2022 19:05:37",
"content": "basically, i dont get *why* this works",
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},
{
"id": 1015760160939069400,
"author_id": 683211807967805400,
"author_name": "PKLJ",
"timestamp": "09/03/2022 19:08:14",
"content": "if im reading this right, the formula is basically the monthly interest of the loan's principle, divided by 1 - (1+the monthly interest rate)^ -36",
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},
{
"id": 1015761027863941100,
"author_id": 683211807967805400,
"author_name": "PKLJ",
"timestamp": "09/03/2022 19:11:40",
"content": "the main things confusing me is why there are negative exponents involved, and why dividing the principle's interest by the formula's bottom half works",
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},
{
"id": 1015761737758277600,
"author_id": 683211807967805400,
"author_name": "PKLJ",
"timestamp": "09/03/2022 19:14:30",
"content": "ill keep trying to figure it out on my own with this in the background, so if anyone comes by to explain the mechanics of this in simpler terms please ping me or something",
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},
{
"id": 1015762802939527300,
"author_id": 683211807967805400,
"author_name": "PKLJ",
"timestamp": "09/03/2022 19:18:44",
"content": "i fee like if i understood why it was important for the 12*3 exponents to be negative instead of how theyre positive in say, the (monthly) compound interest formula, id be able to figure out the rest",
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},
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"id": 1015766578635227300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 19:33:44",
"content": "@PKLJ Has your question been resolved?",
"attachments": [],
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"id": 1015766604405014500,
"author_id": 683211807967805400,
"author_name": "PKLJ",
"timestamp": "09/03/2022 19:33:50",
"content": "hmm, the monthly loan payment formula should just be the yearly loan pay formula with an extra step to break it into months. i think ill try figuring that out since it should be more obvious by looking at it what the values achieve, maybe itll give me context for this since it should be working under the same principle..?",
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},
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"id": 1015766961793278000,
"author_id": 683211807967805400,
"author_name": "PKLJ",
"timestamp": "09/03/2022 19:35:15",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 1015774189493432300,
"author_id": 683211807967805400,
"author_name": "PKLJ",
"timestamp": "09/03/2022 20:03:58",
"content": "Tldr if someone could explain what the denominator portion of the monthly loan repayment formula does, itd be great",
"attachments": [],
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},
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"id": 1015781740066906100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 20:33:59",
"content": "@PKLJ Has your question been resolved?",
"attachments": [],
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"author_name": "PKLJ",
"timestamp": "09/03/2022 20:38:06",
"content": "i have to go, ill free up the channel and ask later",
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},
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"id": 1015782783395831900,
"author_id": 683211807967805400,
"author_name": "PKLJ",
"timestamp": "09/03/2022 20:38:07",
"content": ".close",
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},
{
"id": 1015782786210201600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 20:38:08",
"content": "Channel closed",
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}
] |
help-9
|
e8203c8f3b134b2ba2b8367d7fc775eb
|
198,240 |
[
{
"id": 1015783037797154800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 20:39:08",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015789345510281300,
"author_id": 561106885739020300,
"author_name": "sush",
"timestamp": "09/03/2022 21:04:12",
"content": "can smo help me approach this question thanks",
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"id": 1015789347326406700,
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"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 21:04:12",
"content": "Pinned a message.",
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{
"id": 1015790905233506400,
"author_id": 492817322105634800,
"author_name": "marco.py",
"timestamp": "09/03/2022 21:10:24",
"content": "i would square both sides",
"attachments": [],
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"reference": null
},
{
"id": 1015791295123443700,
"author_id": 831591156919173100,
"author_name": "bendy",
"timestamp": "09/03/2022 21:11:57",
"content": "be wary of extraneous solns",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015791466506895400,
"author_id": 492817322105634800,
"author_name": "marco.py",
"timestamp": "09/03/2022 21:12:38",
"content": "they said or otherwise",
"attachments": [],
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"reference": null
},
{
"id": 1015791590045909100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/03/2022 21:13:07",
"content": "",
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},
{
"id": 1015791595121033200,
"author_id": 831591156919173100,
"author_name": "bendy",
"timestamp": "09/03/2022 21:13:08",
"content": "yeah i said be careful of solutions that turn out to be incorrect",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015791604197507100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/03/2022 21:13:10",
"content": "",
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},
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"id": 1015791619271823400,
"author_id": 831591156919173100,
"author_name": "bendy",
"timestamp": "09/03/2022 21:13:14",
"content": "which will occur using your method",
"attachments": [],
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"author_id": 561106885739020300,
"author_name": "sush",
"timestamp": "09/03/2022 21:13:25",
"content": "just realised isnt in my syllabus anymore",
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"timestamp": "09/03/2022 21:13:27",
"content": "and why is that",
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"timestamp": "09/03/2022 21:13:38",
"content": "syllabus changes",
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"author_name": "bendy",
"timestamp": "09/03/2022 21:13:40",
"content": "because squaring both sides will yield ?^2 = 1",
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"timestamp": "09/03/2022 21:13:47",
"content": "square root is multivalued function",
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"timestamp": "09/03/2022 21:14:00",
"content": "ah yeah",
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"timestamp": "09/03/2022 21:14:35",
"content": ".close",
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"timestamp": "09/03/2022 21:14:35",
"content": "Channel closed",
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}
] |
help-9
|
4103d84c8dfc41afa45f61c6926a7e4b
|
198,241 |
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"author_id": 805217272087838700,
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"timestamp": "09/03/2022 21:15:35",
"content": "Available help channel!",
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"id": 1015793429273382900,
"author_id": 489214454869786600,
"author_name": "Zach HHG",
"timestamp": "09/03/2022 21:20:26",
"content": "Wasnt too sure how to phrase this for google so I wanted to ask here!\n\nAn object bouncing around inside the perimeter of a circle follows a path depending on it's starting position. Now, I'm just curious since I lack the means to do this myself -- does that object, if it just keeps travelling in a straight line and bouncing around and around, eventually repeat its path exactly within the bounds of the circle? If so, is this something that can be calculated such that n = number of bounces until the pattern repeats?\n\nI'm not looking for **any** of the math, just wanted to know if my assumptions are on track. Hope this made sense.",
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"content": "Pinned a message.",
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"author_id": 489214454869786600,
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"timestamp": "09/03/2022 21:22:42",
"content": "Further, would changing the shape of the circle to an ellipse with the same area change that number?",
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"timestamp": "09/03/2022 21:37:42",
"content": "@Zach HHG Has your question been resolved?",
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"author_name": "M8732",
"timestamp": "09/03/2022 21:42:23",
"content": "With almost all starting configurations it will never repeat",
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"timestamp": "09/03/2022 21:44:52",
"content": "Channel closed",
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}
] |
help-9
|
927850d27777481896ead1682aa7f052
|
198,242 |
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"timestamp": "09/03/2022 22:02:23",
"content": "Available help channel!",
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"author_id": 715800509595779100,
"author_name": "ashthehumper",
"timestamp": "09/03/2022 22:04:46",
"content": "I'm not sure how to do all of part (d). It is a proving identity question.",
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"timestamp": "09/03/2022 22:05:05",
"content": "@Helpers",
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"content": ".close",
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] |
help-9
|
a63229f5ebcc49458e2fe77522b0f2f2
|
198,243 |
[
{
"id": 1015807114574299300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/03/2022 22:14:48",
"content": "Available help channel!",
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},
{
"id": 1015811660969169000,
"author_id": 752876875746902100,
"author_name": "Molana Messi-ud-din",
"timestamp": "09/03/2022 22:32:52",
"content": "If a point A(3,5) and B(1,4) lie on the graph of line ax + by = 7, find the value of a and b",
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"author_name": "Molana Messi-ud-din",
"timestamp": "09/03/2022 22:33:02",
"content": "Help",
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},
{
"id": 1015811935146614800,
"author_id": 560122149126275100,
"author_name": "Civil Service Pigeon",
"timestamp": "09/03/2022 22:33:58",
"content": "If a point lies on the graph, its coordinates satisfy the equation",
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"id": 1015811974413693000,
"author_id": 560122149126275100,
"author_name": "Civil Service Pigeon",
"timestamp": "09/03/2022 22:34:07",
"content": "For instance, point A tells us thst 3a+5b=7",
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"id": 1015811996102434800,
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"author_name": "Civil Service Pigeon",
"timestamp": "09/03/2022 22:34:12",
"content": "Apply similar logic for point B",
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"timestamp": "09/03/2022 22:34:18",
"content": "Then you can solve the system",
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"timestamp": "09/03/2022 22:34:19",
"content": "@Molana Messi-ud-din",
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"timestamp": "09/03/2022 22:34:24",
"content": "Hmm",
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"author_name": "Molana Messi-ud-din",
"timestamp": "09/03/2022 22:34:32",
"content": "Could you elaborate it even more",
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"author_name": "Molana Messi-ud-din",
"timestamp": "09/03/2022 22:34:50",
"content": "An explaination was exactly what i was looking for",
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"author_name": "Molana Messi-ud-din",
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"content": "@Civil Service Pigeon",
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"author_name": "Deleted User",
"timestamp": "09/03/2022 22:36:06",
"content": "hi friend the goal is to get two equations",
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"content": "^",
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"timestamp": "09/03/2022 22:36:34",
"content": "A(3,5) and B(1,4) are pairs of (x,y) coordinates",
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"timestamp": "09/03/2022 22:36:59",
"content": "for point a x = 3 and y = 5 and for point b x = 1 and y = 4",
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"timestamp": "09/03/2022 22:38:48",
"content": "so now you will need to create your first equation using the information from point A and the given line ax+by = 7",
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"timestamp": "09/03/2022 22:39:12",
"content": "what will the first equation be?",
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"author_name": "Molana Messi-ud-din",
"timestamp": "09/03/2022 22:39:13",
"content": "Ok",
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"author_name": "Molana Messi-ud-din",
"timestamp": "09/03/2022 22:39:19",
"content": "Wait",
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"author_name": "Molana Messi-ud-din",
"timestamp": "09/03/2022 22:39:46",
"content": "3a + 5b = 7",
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"timestamp": "09/03/2022 22:40:19",
"content": "perfect",
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"timestamp": "09/03/2022 22:40:30",
"content": "now you need to get the second equation using point B and the given line",
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"timestamp": "09/03/2022 22:40:43",
"content": "what will that equation be? its the same process with different set of coordinates",
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"timestamp": "09/03/2022 22:40:48",
"content": "A + 4b = 7",
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"timestamp": "09/03/2022 22:40:55",
"content": "ok now you have two different equations",
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"timestamp": "09/03/2022 22:40:57",
"content": "system of equations",
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"author_name": "Deleted User",
"timestamp": "09/03/2022 22:41:09",
"content": "its hard to solve a problem with two different unknown variables",
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"timestamp": "09/03/2022 22:41:25",
"content": "Actually, constants",
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"timestamp": "09/03/2022 22:41:36",
"content": "you need to solve one of the equations for a or b",
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"timestamp": "09/03/2022 22:41:53",
"content": "then plugin that a or b value into the other equation",
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"author_name": "Molana Messi-ud-din",
"timestamp": "09/03/2022 22:42:06",
"content": "One question",
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"timestamp": "09/03/2022 22:42:12",
"content": "the goal is to get one of the equations with all of the same variables",
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"author_name": "Molana Messi-ud-din",
"timestamp": "09/03/2022 22:42:13",
"content": "What's the logic behind it",
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"timestamp": "09/03/2022 22:42:55",
"content": "since you're on the same graph and the equations are equivalent you can do this",
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"timestamp": "09/03/2022 22:43:15",
"content": "Ok",
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"author_name": "Molana Messi-ud-din",
"timestamp": "09/03/2022 22:43:52",
"content": "Thanks",
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"timestamp": "09/03/2022 22:45:01",
"content": "ok so now you have the two equations on the same graph and the equations are equivalent",
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"timestamp": "09/03/2022 22:45:38",
"content": "try expressing one of your a's in terms of b's. try it using the second equation a + 4b = 7",
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"timestamp": "09/03/2022 22:46:27",
"content": "a = 7 - 4b",
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"timestamp": "09/03/2022 22:47:36",
"content": "now that you have expressed a in terms of b you can plug it back into the a in the first equation",
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"timestamp": "09/03/2022 22:47:51",
"content": "so 3a + 5b = 7 becomes 3(7-4b)+5b = 7",
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"timestamp": "09/03/2022 22:48:22",
"content": "21-12b + 5b = 7",
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"timestamp": "09/03/2022 22:48:35",
"content": "21-7b = 7",
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"timestamp": "09/03/2022 22:48:59",
"content": "7b = 21-7",
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"timestamp": "09/03/2022 22:49:06",
"content": "7b = 14",
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"timestamp": "09/03/2022 22:49:11",
"content": "b = 14/7 = 2",
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"timestamp": "09/03/2022 22:49:22",
"content": "so now you know exactly what b is",
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"id": 1015816141316305000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "09/03/2022 22:50:41",
"content": "plug it back into one of the equations to actually solve for a",
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"id": 1015816219410051100,
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"timestamp": "09/03/2022 22:50:59",
"content": "for example 3a + 5b =7....you can do 3a + 5(2) = 7",
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"timestamp": "09/03/2022 22:51:03",
"content": "3a + 10 = 7",
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"timestamp": "09/03/2022 22:51:07",
"content": "3a = 7-10",
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"timestamp": "09/03/2022 22:51:14",
"content": "3a = -3",
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"timestamp": "09/03/2022 22:51:17",
"content": "a = -3/3 = -1",
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"id": 1015816314746589300,
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"timestamp": "09/03/2022 22:51:22",
"content": "a = -1 and b = 2",
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},
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"id": 1015816408506040300,
"author_id": 456226577798135800,
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"timestamp": "09/03/2022 22:51:44",
"content": "check your answer by plugging in these a and b values in the original 2 equations that we found in the beginning",
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"timestamp": "09/03/2022 22:52:03",
"content": "first check with 3a+5b = 7",
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"timestamp": "09/03/2022 22:52:08",
"content": "3a +5b = 7",
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"timestamp": "09/03/2022 22:52:37",
"content": "left side: 3(-1) + 5(2) = -3+10= 7\nright side: 7\n\nleft side = right side\n7 = 7 \ncheck",
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"timestamp": "09/03/2022 22:52:55",
"content": "second check with a + 4b = 7",
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"timestamp": "09/03/2022 22:52:59",
"content": "a + 4b = 7",
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"timestamp": "09/03/2022 22:53:52",
"content": "left side: -1 + 4 (2) = -1 + 8 = 7\nright side: 7\n\nleft side = right side \n7 = 7\ncheck",
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},
{
"id": 1015817179419136000,
"author_id": 456226577798135800,
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"timestamp": "09/03/2022 22:54:48",
"content": "so we know that a = -1 and b = 2 are indeed the correct values for the problem",
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"timestamp": "09/03/2022 22:55:00",
"content": "@Molana Messi-ud-din hope that helps",
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"timestamp": "09/03/2022 23:00:00",
"content": "@Molana Messi-ud-din Has your question been resolved?",
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"timestamp": "09/03/2022 23:00:58",
"content": "Channel closed",
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] |
help-9
|
f2f72b3f752042338de4e3e081535f24
|
198,244 |
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"content": "Available help channel!",
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},
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"timestamp": "09/03/2022 23:03:09",
"content": "Yup that did",
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"content": "@Molana Messi-ud-din Has your question been resolved?",
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help-9
|
4ac6b09fb9b6447c99e1655d2345938a
|
198,245 |
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"timestamp": "09/03/2022 23:34:10",
"content": "Available help channel!",
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{
"id": 1015847719631343700,
"author_id": 852470857569402900,
"author_name": "Teek0505",
"timestamp": "09/04/2022 00:56:09",
"content": "What do i need to study before studying digamma functions?",
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"timestamp": "09/04/2022 00:56:22",
"content": "I know basic calculus as of now. Beta gamma functions. Is it enough?",
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"content": "Or do I need to study anything else?",
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"content": "@Teek0505 Has your question been resolved?",
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}
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help-9
|
3bca4ebd059546ae88ce7b3c432cc9e7
|
198,246 |
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"timestamp": "09/04/2022 01:40:31",
"content": "Available help channel!",
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},
{
"id": 1015859623871393800,
"author_id": 789015389018521600,
"author_name": "Particles",
"timestamp": "09/04/2022 01:43:28",
"content": "what is the point of competitive math?",
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"id": 1015859626857742500,
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"content": "Pinned a message.",
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"content": "A point is an infinitely small element with no length or breadth",
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"id": 1015861010227277800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "09/04/2022 01:48:58",
"content": "promote critical thinking and potentially get new whacky approaches that noones thought of before",
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"id": 1015861094906073100,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "09/04/2022 01:49:18",
"content": "It's fun... for some",
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"timestamp": "09/04/2022 01:58:28",
"content": "@Particles Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
8cc42d744c1044818ab6708b22770c3a
|
198,247 |
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"content": "Available help channel!",
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"content": "Help me this problem",
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"author_name": "ramonov",
"timestamp": "09/04/2022 02:18:13",
"content": "what have you tried",
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"content": "@PrinceC12 Has your question been resolved?",
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help-9
|
ad2bda21245c44d9ac02aaf58bc7068b
|
198,248 |
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"content": "why does the right side have square brackets? [ ]",
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"content": ".close",
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"timestamp": "09/04/2022 06:16:43",
"content": "its cuz theres a negation and for clarity? its the same without",
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"content": "It’s probably just to enclose the proposition corresponding to the forall quantifier, nothing too important",
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] |
help-9
|
3876a85c036e4d559f757e58b779c9a7
|
198,249 |
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"timestamp": "04/04/2022 09:15:58",
"content": "Help with this please",
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"timestamp": "04/04/2022 09:16:48",
"content": "Just the last question",
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"timestamp": "04/04/2022 10:39:06",
"content": "Channel closed",
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help-9
|
75734dc60c344218b599517d94d49950
|
198,250 |
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{
"id": 1015970201696751600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/04/2022 09:02:51",
"content": "Available help channel!",
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},
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"id": 1015971231557767200,
"author_id": 674953875610140700,
"author_name": "Joob",
"timestamp": "09/04/2022 09:06:57",
"content": "Part of the graph of y = x^2 - 6x is shown. Find the area of the shaded region",
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"timestamp": "09/04/2022 09:06:57",
"content": "Pinned a message.",
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"id": 1015971998549168100,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "09/04/2022 09:10:00",
"content": "Ah yes nice shaded region i see",
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"timestamp": "09/04/2022 09:11:55",
"content": "Do u need to see it",
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"timestamp": "09/04/2022 09:12:11",
"content": "I thought you can just interpret the line",
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"timestamp": "09/04/2022 09:12:13",
"content": "My bad",
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"timestamp": "09/04/2022 09:12:16",
"content": "Let me get a photo",
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},
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"author_name": "夢雪",
"timestamp": "09/04/2022 09:12:23",
"content": "we dont know what the area is",
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},
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"timestamp": "09/04/2022 09:12:26",
"content": "how do we find it",
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},
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"timestamp": "09/04/2022 09:13:41",
"content": "Here",
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},
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"id": 1015972990254587900,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/04/2022 09:13:56",
"content": "how could anyone have guessed that",
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},
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"id": 1015973040326197200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/04/2022 09:14:08",
"content": "do you know how to integrate?",
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"author_name": "Joob",
"timestamp": "09/04/2022 09:14:30",
"content": "is that where you use the interger and then set like a range",
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},
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"timestamp": "09/04/2022 09:14:53",
"content": "uh",
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},
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"id": 1015973519462498300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/04/2022 09:16:02",
"content": "$\\int_a^b f(x) \\, dx$",
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},
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"author_name": "Joob",
"timestamp": "09/04/2022 09:16:05",
"content": "or is that where you get the antiderivate",
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"timestamp": "09/04/2022 09:16:06",
"content": "**夢雪**",
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"author_name": "夢雪",
"timestamp": "09/04/2022 09:16:08",
"content": "this thing",
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"author_name": "Joob",
"timestamp": "09/04/2022 09:16:12",
"content": "oh yeah",
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"author_name": "Joob",
"timestamp": "09/04/2022 09:16:17",
"content": "thats what i was trying to say",
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"author_name": "Joob",
"timestamp": "09/04/2022 09:16:32",
"content": "is the squiggly line called a interger?",
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},
{
"id": 1015973660131065900,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/04/2022 09:16:36",
"content": "no",
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},
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"id": 1015973676782469200,
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"author_name": "Joob",
"timestamp": "09/04/2022 09:16:40",
"content": "what is it called",
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},
{
"id": 1015973683090702300,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/04/2022 09:16:41",
"content": "its called an integral sign",
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"author_name": "Joob",
"timestamp": "09/04/2022 09:16:49",
"content": "got a bit mixed up i think",
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"id": 1015973750698684400,
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"author_name": "Joob",
"timestamp": "09/04/2022 09:16:58",
"content": "yeah so i do that",
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"id": 1015973811432214500,
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"author_name": "Joob",
"timestamp": "09/04/2022 09:17:12",
"content": "and then do i evaluate",
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"id": 1015973939337507000,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "09/04/2022 09:17:43",
"content": "> do you know how to integrate?",
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},
{
"id": 1015973945884815400,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/04/2022 09:17:44",
"content": "well first of all what is \"do that\"",
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"author_name": "Joob",
"timestamp": "09/04/2022 09:18:04",
"content": "do that meaning find the antiderivate",
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},
{
"id": 1015974065024008300,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "09/04/2022 09:18:12",
"content": "Yes",
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},
{
"id": 1015974105272553500,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/04/2022 09:18:22",
"content": "aight ill leave it to you deep imma dip",
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},
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"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "09/04/2022 09:19:38",
"content": "You see definite integral gives you area of the graph between a to b",
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"author_id": 941359139450404900,
"author_name": "Rakib Aziz Sium",
"timestamp": "09/04/2022 09:19:53",
"content": "",
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"timestamp": "09/04/2022 09:20:07",
"content": "#❓how-to-get-help",
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"author_name": "Deep.",
"timestamp": "09/04/2022 09:20:15",
"content": "But here in your problem area from 0 to 6 is negative and 6 to 8 is positive",
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"author_name": "Rakib Aziz Sium",
"timestamp": "09/04/2022 09:20:22",
"content": "Solve",
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},
{
"id": 1015974625148153900,
"author_id": 674953875610140700,
"author_name": "Joob",
"timestamp": "09/04/2022 09:20:26",
"content": "ok",
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},
{
"id": 1015974743427522600,
"author_id": 674953875610140700,
"author_name": "Joob",
"timestamp": "09/04/2022 09:20:54",
"content": "so do i do this",
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},
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"id": 1015974754320130200,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "09/04/2022 09:20:57",
"content": "So integrating from 0 to 8 won’t be helpful",
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},
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"id": 1015974947941793800,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "09/04/2022 09:21:43",
"content": "?",
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"id": 1015975005990961300,
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"author_name": "Joob",
"timestamp": "09/04/2022 09:21:57",
"content": "",
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"id": 1015975114229166200,
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"author_name": "Joob",
"timestamp": "09/04/2022 09:22:23",
"content": "the left is 6 and 0 it looks a bit like two sixes",
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"author_name": "Deep.",
"timestamp": "09/04/2022 09:22:44",
"content": "Seems fine ig",
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},
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"id": 1015975425870139400,
"author_id": 674953875610140700,
"author_name": "Joob",
"timestamp": "09/04/2022 09:23:37",
"content": "then do i replace the x's with 8 in one 6 in one and 0 in one",
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"id": 1015975519319236700,
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"author_name": "Joob",
"timestamp": "09/04/2022 09:23:59",
"content": "so evaluate",
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},
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"id": 1015975526462140500,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "09/04/2022 09:24:01",
"content": "Hmm wym?",
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},
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"id": 1015975744435912700,
"author_id": 674953875610140700,
"author_name": "Joob",
"timestamp": "09/04/2022 09:24:53",
"content": "ill show you",
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},
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"author_name": "Joob",
"timestamp": "09/04/2022 09:28:58",
"content": "",
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"author_name": "Joob",
"timestamp": "09/04/2022 09:29:05",
"content": "like this?",
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"id": 1015977529942753300,
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"author_name": "Deep.",
"timestamp": "09/04/2022 09:31:59",
"content": "That is partially correct",
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"author_name": "Deep.",
"timestamp": "09/04/2022 09:32:08",
"content": "But yes I suppose you are on right track",
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"id": 1015977621923840000,
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"timestamp": "09/04/2022 09:32:21",
"content": "so do i have to do the same",
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"id": 1015977661656469500,
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"author_name": "Joob",
"timestamp": "09/04/2022 09:32:30",
"content": "but for (6) and (0)",
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"timestamp": "09/04/2022 09:32:38",
"content": "Yes",
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},
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"id": 1015977729620988000,
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"author_name": "Joob",
"timestamp": "09/04/2022 09:32:46",
"content": "ok",
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},
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"timestamp": "09/04/2022 09:37:47",
"content": "",
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"author_name": "Joob",
"timestamp": "09/04/2022 09:37:54",
"content": "Is this what I need to solve",
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},
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"id": 1015980385257128000,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "09/04/2022 09:43:19",
"content": "Yes looks perfect",
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"author_name": "Joob",
"timestamp": "09/04/2022 09:47:19",
"content": "ok i got it is the answer -152/3",
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"id": 1015981577483862000,
"author_id": 674953875610140700,
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"timestamp": "09/04/2022 09:48:04",
"content": "or is it 152/3",
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"id": 1015982533445427300,
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"author_name": "Joob",
"timestamp": "09/04/2022 09:51:52",
"content": "ok thanks",
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"id": 1015982541053898800,
"author_id": 674953875610140700,
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"timestamp": "09/04/2022 09:51:53",
"content": ".close",
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},
{
"id": 1015982543880847400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/04/2022 09:51:54",
"content": "Channel closed",
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}
] |
help-9
|
09eb0a5bf6434ab18989bb355b6e38e8
|
198,251 |
[
{
"id": 1015982798865170400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/04/2022 09:52:55",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1015983419102076900,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 09:55:23",
"content": "𝐻={[𝑎,𝑏]|𝑎∈𝐴,𝑏∈𝐴,𝑎+𝑏∈𝐴} 𝐴={1,2,3,4}",
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"timestamp": "09/04/2022 09:55:23",
"content": "Pinned a message.",
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"id": 1015983585083261000,
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"author_name": "Axe",
"timestamp": "09/04/2022 09:56:02",
"content": "Im thinking {[1], [1,2], [1,2,3],[3,2,1],[2,1]} is the solution, can someone help me understand why I am incorrect?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015983886448218200,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 09:57:14",
"content": "It says the answer should have 6 elements, but mine only has 5. What am I missing?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015984141046657000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 09:58:15",
"content": "so first, [1] can't be in the set because it doesn't have the form [a,b]. same for [1,2,3] and [3,2,1]",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015984318557987000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 09:58:57",
"content": "so we need two elements a and b from the set A such that the sum a+b is also in A",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015984346835984500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 09:59:04",
"content": "lets take a=1. what can we take as b?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015984374287696000,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 09:59:10",
"content": "1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015984460258345000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 09:59:31",
"content": "yes. but that's not the only option",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015984482307817500,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 09:59:36",
"content": "1,2,3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015984535625797600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 09:59:49",
"content": "yes. so [1,1], [1,2] and [1,3] are all in H",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015984560892301300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 09:59:55",
"content": "next lets take a=2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015984587723247600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:00:01",
"content": "what can we take as b so that 2+b is in A ?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015984638369476600,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:00:13",
"content": "1,2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015984681868595200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:00:24",
"content": "yes. so [2,1] and [2,2] are also in H",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015984708431134800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:00:30",
"content": "next a=3. what can we take as b?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015984725145436300,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:00:34",
"content": "1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015984752332906600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:00:41",
"content": "good so [3,1] is in H",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015984763288424400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:00:43",
"content": "and last a=4",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015984776856997900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:00:46",
"content": "what can we take as b?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015984808486248600,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:00:54",
"content": "0?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015984834776137700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:01:00",
"content": "0 is not in A",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015984871035912300,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:01:09",
"content": "then nothing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015984954141839500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:01:29",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015984989072019500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:01:37",
"content": "so there is no element of the form [4,b] in H",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015985013185052800,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:01:43",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015985056524816400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:01:53",
"content": "so we have the elements [1,1], [1,2], [1,3], [2,1], [2,2] and [3,1]",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015985080021307400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:01:59",
"content": "that's 6 elements",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015985097926783100,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:02:03",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015985111763783800,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:02:06",
"content": "That makes sense",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015985179388543100,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:02:22",
"content": "I have another one as well hold on one second",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015985609292120000,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:04:05",
"content": "𝐿={{𝑥 | 𝑥∈𝐴 and 𝑥+𝑦∈𝐴} | 𝑦∈𝐴}",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015985695476699100,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:04:25",
"content": "Here im thinking that {{1},{2},{3}} is the answer but I think I am missing something",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015985716553056300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:04:30",
"content": "og means?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015985733409980500,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:04:34",
"content": "and",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015985862925893600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:05:05",
"content": "ok. so we need to compute the sets {x|x in A and x+y in A} for a fixed y",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015985887764545700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:05:11",
"content": "is it the same set A ?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015985905972035600,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:05:16",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015985936556900500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:05:23",
"content": "ok. lets take y=1 first",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015985977438769200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:05:33",
"content": "we need to compute the set {x|x in A and x+1 in A}",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015985989807784100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:05:36",
"content": "what is that set?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986055599624200,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:05:51",
"content": "{1}",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986079351984100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:05:57",
"content": "no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986094585688200,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:06:01",
"content": "why",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986158225858600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:06:16",
"content": "because for example 2 also works as x",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986182586368000,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:06:22",
"content": "both 2 in A and 2+1=3 in A",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986243986800600,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:06:36",
"content": "ah so 1,2,3 works then",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986284239540200,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:06:46",
"content": "yes. so the first set is {1,2,3}",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986296671436900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:06:49",
"content": "next take y=2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986325431779500,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:06:56",
"content": "1,2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986352061423600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:07:02",
"content": "{1,2} but yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986362073235600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:07:04",
"content": "and then y=3 ?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986426866847700,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:07:20",
"content": "and for 3 it would be 1 so {{1,2,3},{1,2},{1}} is the answer?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986502511120500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:07:38",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986589605826700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:07:59",
"content": "uhm no",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986593275846700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:07:59",
"content": "wait",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986619112771700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:08:06",
"content": "for y=4 we actually have the empty set",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986662322483200,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:08:16",
"content": "Why is that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986741217349800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:08:35",
"content": "well which x can we choose for y=4 ?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986789837717600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:08:46",
"content": "{x|x in A and x+4 in A} ?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986811471929300,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:08:51",
"content": "0 but it said x had to be in a?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986855512125400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:09:02",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986889179791400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:09:10",
"content": "so {x|x in A and x+4 in A} = empty set",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015986993093689500,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:09:35",
"content": "I dont understand why the empty set is included in this one but not the previous one",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015987254730166400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:10:37",
"content": "well previously we didn't care about sets. we asked about something else",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015987326356291600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:10:54",
"content": "there is no \"empty\" [a,b] thing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015987430177906700,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:11:19",
"content": "why can there not be a empty []",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015987553171685400,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:11:48",
"content": "well it still needs to have two entries. otherwise it's a different thing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015987572960399500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:11:53",
"content": "but {1} and {} are both sets",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015987702207889500,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:12:24",
"content": "yes but {} is not in A thats what confuses me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015987707274608600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:12:25",
"content": "previously we asked about all [a,b] which satisfy some thing. now we ask about all sets which satisfy some thing. that's different",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015987838434672800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:12:56",
"content": "yes but all elements of {} are in A",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015987898589392900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:13:11",
"content": "{} is a subset of A",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015987979845632000,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:13:30",
"content": "so {} is a subset of everything?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015987990557884500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:13:33",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015988006898913300,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:13:36",
"content": "okay",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015988021088235500,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:13:40",
"content": "then it makes sense",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015988054009323600,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:13:48",
"content": "thank you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015988163371597800,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "09/04/2022 10:14:14",
"content": "youre welcome",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015988546391257100,
"author_id": 376827396764074000,
"author_name": "Axe",
"timestamp": "09/04/2022 10:15:45",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1015988549390188500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/04/2022 10:15:46",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
6d725dada4854960bad976b4c7ceb006
|
198,252 |
[
{
"id": 1016001372015042700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/04/2022 11:06:43",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016006901814792300,
"author_id": 483060616664449000,
"author_name": "Ozurn",
"timestamp": "09/04/2022 11:28:41",
"content": "Hello, I have an assessment that my teacher will grade for homework, so could someone please check through all the work throughly and tell me if there is anything wrong?",
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"id": 1016006904696279000,
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"timestamp": "09/04/2022 11:28:42",
"content": "Pinned a message.",
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"id": 1016007060200112100,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "09/04/2022 11:29:19",
"content": "no",
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"id": 1016007144581111900,
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"author_name": "Ozurn",
"timestamp": "09/04/2022 11:29:39",
"content": "get lost bro XD",
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},
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"content": "@Ozurn Has your question been resolved?",
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"content": "@Helpers",
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"timestamp": "09/04/2022 12:04:18",
"content": "q4 is still not corrected HAHA",
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"timestamp": "09/04/2022 12:18:59",
"content": "@Ozurn Has your question been resolved?",
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"timestamp": "09/04/2022 12:48:59",
"content": "Channel closed",
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}
] |
help-9
|
7a844efbe2f540bbaaa31a1e875a4187
|
198,253 |
[
{
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"timestamp": "09/04/2022 12:49:59",
"content": "Available help channel!",
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"content": "Pinned a message.",
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"timestamp": "09/04/2022 12:51:16",
"content": "Can someone please explain this to me",
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},
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"author_id": 560122149126275100,
"author_name": "Civil Service Pigeon",
"timestamp": "09/04/2022 12:55:59",
"content": "This means we want x values that map onto more than one y",
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"timestamp": "09/04/2022 12:56:10",
"content": "Yes",
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"content": "This is c, because $|y|=x \\implies y=\\pm x$",
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"timestamp": "09/04/2022 12:56:16",
"content": "**messy circle creation**",
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"author_name": "hevar",
"timestamp": "09/04/2022 12:56:29",
"content": "But I don’t know how the question is set up",
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"timestamp": "09/04/2022 12:56:32",
"content": "Also d, because $y^2 =x \\implies y=\\pm \\sqrt{x}$",
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"timestamp": "09/04/2022 12:56:34",
"content": "**messy circle creation**",
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"content": "Wdym",
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"author_name": "hevar",
"timestamp": "09/04/2022 12:57:30",
"content": "I mean I know how relations and functions work but the way the questions are confusing",
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"timestamp": "09/04/2022 12:57:58",
"content": "How would this be simplified",
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"id": 1016029486099210200,
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"author_name": "hevar",
"timestamp": "09/04/2022 12:58:26",
"content": "u given by y=u(x) and y=x",
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"timestamp": "09/04/2022 12:58:29",
"content": "This is all that rlly matters here",
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"timestamp": "09/04/2022 12:59:29",
"content": "Does absolute brackets matter here?",
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"author_name": "Civil Service Pigeon",
"timestamp": "09/04/2022 12:59:57",
"content": "Yes, consider their piecewise representations",
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"author_name": "hevar",
"timestamp": "09/04/2022 13:00:56",
"content": "So the ones that are not function is 2nd one and last?",
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"id": 1016030520397811700,
"author_id": 560122149126275100,
"author_name": "Civil Service Pigeon",
"timestamp": "09/04/2022 13:02:32",
"content": "3rd and 4th, that’s what I said earlier.",
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"id": 1016030746927976600,
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"author_name": "hevar",
"timestamp": "09/04/2022 13:03:27",
"content": "Could you please explain why (y) occurs 2 times in 3rd and 4rd",
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"id": 1016031205675774100,
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"timestamp": "09/04/2022 13:05:16",
"content": "First one can be justified by a piecewise representation of absolute value",
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"timestamp": "09/04/2022 13:05:33",
"content": "2nd one the intermediate step is $|y|=\\sqrt{x}$, apply the same logic as before",
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"timestamp": "09/04/2022 13:05:36",
"content": "**messy circle creation**",
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"timestamp": "09/04/2022 13:05:45",
"content": "Ohhhh",
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"timestamp": "09/04/2022 13:06:06",
"content": "Ohhh it’s very simplified now",
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"timestamp": "09/04/2022 13:06:12",
"content": "Thank you @Civil Service Pigeon",
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"content": ".close",
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"content": "Channel closed",
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}
] |
help-9
|
be5b0e048b2746449a1a82ef8ad8ac9b
|
198,254 |
[
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"author_name": "Mathematics Bot",
"timestamp": "09/04/2022 13:07:18",
"content": "Available help channel!",
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},
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"id": 1016033001508966500,
"author_id": 977276105855737900,
"author_name": "U(1)",
"timestamp": "09/04/2022 13:12:24",
"content": "Anyone know what this symbol is called?",
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"content": "Pinned a message.",
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"author_id": 977276105855737900,
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"timestamp": "09/04/2022 13:14:11",
"content": "It seems like a pi but not quite",
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},
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"id": 1016033475133980700,
"author_id": 522472631312580600,
"author_name": "kjmkty",
"timestamp": "09/04/2022 13:14:17",
"content": "its not pi",
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},
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"id": 1016033499389636600,
"author_id": 522472631312580600,
"author_name": "kjmkty",
"timestamp": "09/04/2022 13:14:23",
"content": "definitely",
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"id": 1016033549763231900,
"author_id": 522472631312580600,
"author_name": "kjmkty",
"timestamp": "09/04/2022 13:14:35",
"content": "but idk the symbols name either",
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},
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"id": 1016033583292498000,
"author_id": 522472631312580600,
"author_name": "kjmkty",
"timestamp": "09/04/2022 13:14:43",
"content": "so idk how to answer this question",
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"id": 1016033786535882900,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "09/04/2022 13:15:31",
"content": "of course it's pi",
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"id": 1016033995475144700,
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"author_name": "maximo",
"timestamp": "09/04/2022 13:16:21",
"content": "do you have context for what this is saying",
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"timestamp": "09/04/2022 13:16:41",
"content": "it means product",
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"id": 1016034164593668200,
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"timestamp": "09/04/2022 13:17:01",
"content": "Joint probability of independent variables, so yeah it's a product",
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"id": 1016034199226044400,
"author_id": 977276105855737900,
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"timestamp": "09/04/2022 13:17:10",
"content": "But how do I type it in that font",
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},
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"id": 1016034238182727700,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/04/2022 13:17:19",
"content": "capital pi",
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},
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"id": 1016034273351971000,
"author_id": 217089972933623800,
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"timestamp": "09/04/2022 13:17:27",
"content": "$\\prod$ i think",
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},
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"id": 1016034287012806700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/04/2022 13:17:31",
"content": "**maximo**",
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"id": 1016034322144297000,
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"author_name": "swaggofishballs",
"timestamp": "09/04/2022 13:17:39",
"content": "how do u use that",
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},
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"id": 1016034364867498100,
"author_id": 217089972933623800,
"author_name": "maximo",
"timestamp": "09/04/2022 13:17:49",
"content": "put dollar signs around the latex",
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},
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"id": 1016034376435376100,
"author_id": 977276105855737900,
"author_name": "U(1)",
"timestamp": "09/04/2022 13:17:52",
"content": "The problem is there's a capital pi in its definition, so I can't have that too lol",
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"id": 1016034545734275100,
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"author_name": "U(1)",
"timestamp": "09/04/2022 13:18:32",
"content": "$\\Pi = \\Pi_{i=1}^d u_i$",
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},
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"id": 1016034560334627000,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "09/04/2022 13:18:36",
"content": "so copy this?",
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},
{
"id": 1016034562121408500,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "09/04/2022 13:18:36",
"content": "Π",
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},
{
"id": 1016034673006235800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/04/2022 13:19:03",
"content": "**U(1)**",
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"author_name": "frownyfrog",
"timestamp": "09/04/2022 13:19:34",
"content": "$Π = \\Pi_{i=1}^d u_i$",
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},
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"id": 1016034817034436700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/04/2022 13:19:37",
"content": "**frownyfrog**",
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"author_name": "frownyfrog",
"timestamp": "09/04/2022 13:19:42",
"content": "damn",
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},
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"id": 1016034902464012400,
"author_id": 977276105855737900,
"author_name": "U(1)",
"timestamp": "09/04/2022 13:19:57",
"content": "Screw it I'll just name it $\\eta$ or smtn",
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},
{
"id": 1016034912136081400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/04/2022 13:20:00",
"content": "**U(1)**",
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"author_name": "frownyfrog",
"timestamp": "09/04/2022 13:20:00",
"content": "$П = \\Pi_{i=1}^d u_i$",
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},
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"id": 1016034928019914800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/04/2022 13:20:03",
"content": "**frownyfrog**\nCompile Error! Click the :errors: reaction for more information.\n(You may edit your message to recompile.)",
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"author_name": "frownyfrog",
"timestamp": "09/04/2022 13:20:11",
"content": "wow that's worse",
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},
{
"id": 1016035060299862000,
"author_id": 217089972933623800,
"author_name": "maximo",
"timestamp": "09/04/2022 13:20:35",
"content": "$d {\\atop \\Pi {\\atop i=0}}$",
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},
{
"id": 1016035071880343600,
"author_id": 510789298321096700,
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"timestamp": "09/04/2022 13:20:38",
"content": "**maximo**",
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"id": 1016035089358012500,
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"author_name": "maximo",
"timestamp": "09/04/2022 13:20:42",
"content": "damn",
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},
{
"id": 1016035122585288800,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "09/04/2022 13:20:50",
"content": "there's definitely a way to just change the font to whatever",
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},
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"id": 1016035171440537600,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "09/04/2022 13:21:01",
"content": "but renaming is a better idea",
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},
{
"id": 1016035201522073600,
"author_id": 977276105855737900,
"author_name": "U(1)",
"timestamp": "09/04/2022 13:21:09",
"content": "$\\mathbb{\\Pi}$",
"attachments": [],
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},
{
"id": 1016035214398603500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/04/2022 13:21:12",
"content": "**U(1)**",
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"timestamp": "09/04/2022 13:36:09",
"content": "@U(1) Has your question been resolved?",
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"timestamp": "09/04/2022 13:36:39",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
f74f8b15bc024b06905a13d3343adff3
|
198,255 |
[
{
"id": 1016039358974922800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/04/2022 13:37:40",
"content": "Available help channel!",
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},
{
"id": 1016041506282414100,
"author_id": 378707164161769500,
"author_name": "matthew.",
"timestamp": "09/04/2022 13:46:12",
"content": "I am at the end of this quadratic equation but I am having trouble figuring out what else I need to do",
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"content": "Pinned a message.",
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"id": 1016042440857243600,
"author_id": 349552552385314800,
"author_name": "Al3dium",
"timestamp": "09/04/2022 13:49:55",
"content": "first off if you are solving for b, it should be b=whatever",
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},
{
"id": 1016042524864954500,
"author_id": 522472631312580600,
"author_name": "kjmkty",
"timestamp": "09/04/2022 13:50:15",
"content": "$\\frac{4 \\pm 2\\sqrt{10}}{6} = \\frac{2(2 \\pm \\sqrt{10})}{6} = \\frac {\\cancel{2}(2 \\pm \\sqrt{10})}{\\cancel{2}\\cdot 3}$",
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{
"id": 1016042573015547900,
"author_id": 522472631312580600,
"author_name": "kjmkty",
"timestamp": "09/04/2022 13:50:26",
"content": "fuck",
"attachments": [],
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},
{
"id": 1016042651478409200,
"author_id": 349552552385314800,
"author_name": "Al3dium",
"timestamp": "09/04/2022 13:50:45",
"content": "`\\cancelto`",
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},
{
"id": 1016042672617697300,
"author_id": 349552552385314800,
"author_name": "Al3dium",
"timestamp": "09/04/2022 13:50:50",
"content": "not cancel",
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},
{
"id": 1016042709779222700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/04/2022 13:50:59",
"content": "**kjmkty**",
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"author_name": "matthew.",
"timestamp": "09/04/2022 13:51:01",
"content": "yeah I know idk why I put x",
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"id": 1016042812036358100,
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"author_name": "kjmkty",
"timestamp": "09/04/2022 13:51:23",
"content": "just simplify the answer",
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},
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"id": 1016042975836508200,
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"author_name": "Al3dium",
"timestamp": "09/04/2022 13:52:02",
"content": "yeah there's nothing else to it ^",
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"id": 1016043021608960100,
"author_id": 522472631312580600,
"author_name": "kjmkty",
"timestamp": "09/04/2022 13:52:13",
"content": "so $b=\\frac{2 \\pm \\sqrt{10}}{3}$",
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},
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"id": 1016043028382744600,
"author_id": 378707164161769500,
"author_name": "matthew.",
"timestamp": "09/04/2022 13:52:15",
"content": "im confused how the 4 turns into a 2 and the 6 turns into a 3",
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},
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"timestamp": "09/04/2022 13:52:15",
"content": "**kjmkty**",
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"author_name": "kjmkty",
"timestamp": "09/04/2022 13:52:35",
"content": "4 is 2 times 2",
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"author_id": 349552552385314800,
"author_name": "Al3dium",
"timestamp": "09/04/2022 13:52:36",
"content": "what is 2/6?",
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"id": 1016043135580782700,
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"author_name": "kjmkty",
"timestamp": "09/04/2022 13:52:40",
"content": "and 6 is 3 times 2",
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},
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"id": 1016044331599138800,
"author_id": 522472631312580600,
"author_name": "kjmkty",
"timestamp": "09/04/2022 13:57:25",
"content": "i factorised",
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},
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"id": 1016044390835290200,
"author_id": 522472631312580600,
"author_name": "kjmkty",
"timestamp": "09/04/2022 13:57:39",
"content": "i notices 4, 2 and 6 have a common divisor",
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"author_name": "kjmkty",
"timestamp": "09/04/2022 13:57:42",
"content": "which is 2",
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},
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"id": 1016044421185274000,
"author_id": 522472631312580600,
"author_name": "kjmkty",
"timestamp": "09/04/2022 13:57:47",
"content": "so i made 2 a factor",
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},
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"author_name": "kjmkty",
"timestamp": "09/04/2022 13:57:56",
"content": ".",
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"id": 1016045966039728100,
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"author_name": "matthew.",
"timestamp": "09/04/2022 14:03:55",
"content": "I think I get it now",
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},
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"id": 1016046091231297700,
"author_id": 378707164161769500,
"author_name": "matthew.",
"timestamp": "09/04/2022 14:04:25",
"content": "thanks",
"attachments": [],
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},
{
"id": 1016049866805362800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/04/2022 14:19:25",
"content": "@matthew. Has your question been resolved?",
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"timestamp": "09/04/2022 14:19:30",
"content": "Channel closed",
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}
] |
help-9
|
c15095ea85fe4e5f90fa80a2ddd0a76b
|
198,256 |
[
{
"id": 1016058256071852000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/04/2022 14:52:45",
"content": "Available help channel!",
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},
{
"id": 1016058765776265200,
"author_id": 800175190583410700,
"author_name": "neuromancer",
"timestamp": "09/04/2022 14:54:47",
"content": "Cam someone check my work here please?",
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"timestamp": "09/04/2022 14:54:47",
"content": "Pinned a message.",
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"author_id": 800175190583410700,
"author_name": "neuromancer",
"timestamp": "09/04/2022 14:54:52",
"content": "Answer is 9pi/500",
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},
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"id": 1016060557637460200,
"author_id": 800175190583410700,
"author_name": "neuromancer",
"timestamp": "09/04/2022 15:01:54",
"content": "did i trig sub wrong",
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},
{
"id": 1016060748901916700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/04/2022 15:02:40",
"content": "yes you did. x is not 3sin(5θ)",
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},
{
"id": 1016060815096426500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/04/2022 15:02:55",
"content": "the triangle you drew is inconsistent",
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},
{
"id": 1016060918788006000,
"author_id": 800175190583410700,
"author_name": "neuromancer",
"timestamp": "09/04/2022 15:03:20",
"content": "okay i see",
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},
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"id": 1016060942192234600,
"author_id": 800175190583410700,
"author_name": "neuromancer",
"timestamp": "09/04/2022 15:03:26",
"content": "how do you remember what to substitute?",
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},
{
"id": 1016061180881678500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/04/2022 15:04:23",
"content": "well like, *generally* you would not get multiple-angle trig functions at the substitution stage...",
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},
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"id": 1016061395307086000,
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"author_name": "Ann",
"timestamp": "09/04/2022 15:05:14",
"content": "really what you want is to apply the pythagorean identity to the root",
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},
{
"id": 1016061409886482600,
"author_id": 183668144404037630,
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"timestamp": "09/04/2022 15:05:17",
"content": "so that it simplifies",
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},
{
"id": 1016061462243983400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/04/2022 15:05:30",
"content": "here it's sqrt(9-25x^2) that we want to deal with",
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},
{
"id": 1016061618624401500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/04/2022 15:06:07",
"content": "sqrt(9 - 25x^2) can be written as 3 * sqrt(1 - (5x/3)^2)",
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},
{
"id": 1016061661473423500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/04/2022 15:06:17",
"content": "so we want to make 5x/3 = sin(θ)",
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},
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"id": 1016061712987865100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/04/2022 15:06:29",
"content": "(or that = cos(θ), it works all the same)",
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},
{
"id": 1016062482772664300,
"author_id": 800175190583410700,
"author_name": "neuromancer",
"timestamp": "09/04/2022 15:09:33",
"content": "wait why make 5x/3 = sin (θ)?",
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},
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"id": 1016066258980057100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/04/2022 15:24:33",
"content": "@neuromancer Has your question been resolved?",
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"author_name": "Mathematics Bot",
"timestamp": "09/04/2022 15:54:55",
"content": "@neuromancer Has your question been resolved?",
"attachments": [],
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"timestamp": "09/04/2022 16:24:55",
"content": "Channel closed",
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}
] |
help-9
|
78a768c6ad94472dadd866e78ddd7458
|
198,257 |
[
{
"id": 1016083221508796500,
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"timestamp": "09/04/2022 16:31:57",
"content": "Available help channel!",
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},
{
"id": 1016084517527761000,
"author_id": 268303053843595260,
"author_name": "RazeXIX",
"timestamp": "09/04/2022 16:37:06",
"content": "hi",
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"author_name": "Mathematics Bot",
"timestamp": "09/04/2022 16:37:07",
"content": "Pinned a message.",
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"id": 1016084538323112000,
"author_id": 268303053843595260,
"author_name": "RazeXIX",
"timestamp": "09/04/2022 16:37:11",
"content": "is anyone willing to help me out",
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},
{
"id": 1016084685518012400,
"author_id": 268303053843595260,
"author_name": "RazeXIX",
"timestamp": "09/04/2022 16:37:46",
"content": "trying to understand this proof of limits",
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"content": "@RazeXIX Has your question been resolved?",
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"timestamp": "09/04/2022 17:22:59",
"content": "@RazeXIX Has your question been resolved?",
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"id": 1016103073833287800,
"author_id": 268303053843595260,
"author_name": "RazeXIX",
"timestamp": "09/04/2022 17:50:51",
"content": "ayo every other channel got a response except mine",
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},
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"id": 1016119867134460000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/04/2022 18:57:34",
"content": "@RazeXIX Has your question been resolved?",
"attachments": [],
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"timestamp": "09/04/2022 18:57:59",
"content": "uh ngl i dont know",
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"timestamp": "09/04/2022 18:59:43",
"content": "Yo Raze, DM me.",
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"content": "@RazeXIX Has your question been resolved?",
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"timestamp": "09/04/2022 22:57:59",
"content": "Channel closed",
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}
] |
help-9
|
534bc95def9a4d6eb2171a6c20d30636
|
198,258 |
[
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"timestamp": "09/04/2022 22:58:59",
"content": "Available help channel!",
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},
{
"id": 1016181103175946400,
"author_id": 290478875925020700,
"author_name": "luostneibma",
"timestamp": "09/04/2022 23:00:54",
"content": "Can someone help tell explain to me what i am doing wrong on a scientific notation problem please?",
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},
{
"id": 1016181105147248600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/04/2022 23:00:55",
"content": "Pinned a message.",
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"timestamp": "09/04/2022 23:18:37",
"content": "@luostneibma Has your question been resolved?",
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"author_name": "luostneibma",
"timestamp": "09/04/2022 23:21:05",
"content": "@Helpers",
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},
{
"id": 1016188049534763000,
"author_id": 217686845394386940,
"author_name": "jswatj",
"timestamp": "09/04/2022 23:28:30",
"content": "how can we tell you what you are doing wrong without you showing your work",
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},
{
"id": 1016192894807322800,
"author_id": 290478875925020700,
"author_name": "luostneibma",
"timestamp": "09/04/2022 23:47:46",
"content": "Sorry for taking up your time",
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},
{
"id": 1016193130418143200,
"author_id": 290478875925020700,
"author_name": "luostneibma",
"timestamp": "09/04/2022 23:48:42",
"content": ".closed",
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},
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"id": 1016193198265217200,
"author_id": 290478875925020700,
"author_name": "luostneibma",
"timestamp": "09/04/2022 23:48:58",
"content": ".close",
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},
{
"id": 1016193200991506400,
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"timestamp": "09/04/2022 23:48:59",
"content": "Channel closed",
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}
] |
help-9
|
9cf2edf573dd4a85a9942ad1c4b7ffaf
|
198,259 |
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"id": 1016193364951052300,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/04/2022 23:49:38",
"content": "@luostneibma did u manage to do the qn?",
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"timestamp": "09/04/2022 23:49:46",
"content": "Hm?",
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{
"id": 1016193454377807900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/04/2022 23:49:59",
"content": "Available help channel!",
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},
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"id": 1016193477857509500,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/04/2022 23:50:05",
"content": "all ok? (:",
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},
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/04/2022 23:50:05",
"content": "Pinned a message.",
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"timestamp": "09/04/2022 23:50:09",
"content": ".close",
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},
{
"id": 1016193498145361900,
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"timestamp": "09/04/2022 23:50:09",
"content": "Channel closed",
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}
] |
help-9
|
b12425d29b174e1f94a3ac7429d82215
|
198,260 |
[
{
"id": 960555502302032000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/04/2022 11:04:38",
"content": "Available help channel!",
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},
{
"id": 960555780199833600,
"author_id": 493959876104683500,
"author_name": "Fugheth",
"timestamp": "04/04/2022 11:05:44",
"content": "I have a doubt that is both about math and programming. i'm writing a code in python to convert cartesian equations to polar equations and sometimes the cartesian eq appears in a form like x^2 + y^2 = 16, and some times it appears in different forms that if i only substitute x = r*cos(teta) the result gives something in a function only of r and not of teta.",
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"timestamp": "04/04/2022 11:05:44",
"content": "Pinned a message.",
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"id": 960556465570074800,
"author_id": 493959876104683500,
"author_name": "Fugheth",
"timestamp": "04/04/2022 11:08:27",
"content": "in this case i'm in doubt if it would be easier to input the polar geometry directly, like the definition of a line in polar coordinates, or if it still easier to convert it from cartesian to polar coordinates",
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"id": 960559638527488000,
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"timestamp": "04/04/2022 11:21:04",
"content": "@Helpers",
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"id": 960563414449672200,
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"author_name": "Mathematics Bot",
"timestamp": "04/04/2022 11:36:04",
"content": "@Fugheth Has your question been resolved?",
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"timestamp": "04/04/2022 11:39:31",
"content": "no",
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"id": 960571833604800500,
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"author_name": "Mathematics Bot",
"timestamp": "04/04/2022 12:09:31",
"content": "@Fugheth Has your question been resolved?",
"attachments": [],
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"id": 960572610469580900,
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"author_name": "riemann",
"timestamp": "04/04/2022 12:12:36",
"content": "what is your question",
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"id": 960580109201457200,
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"timestamp": "04/04/2022 12:42:24",
"content": "tghis",
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{
"id": 960580336952160300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/04/2022 12:43:19",
"content": "i don't see the question",
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"id": 960580388747640800,
"author_id": 493959876104683500,
"author_name": "Fugheth",
"timestamp": "04/04/2022 12:43:31",
"content": "I have a doubt that is both about math and programming. i'm writing a code in python to convert cartesian equations to polar equations and sometimes the cartesian eq appears in a form like x^2 + y^2 = 16, and some times it appears in different forms that if i only substitute x = r*cos(teta) the result gives something in a function only of r and not of teta",
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"id": 960580429897932800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/04/2022 12:43:41",
"content": "this is just a copy paste. what is your question",
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"id": 960580434591379500,
"author_id": 493959876104683500,
"author_name": "Fugheth",
"timestamp": "04/04/2022 12:43:42",
"content": "in this case i'm in doubt if it would be easier to input the polar geometry directly, like the definition of a line in polar coordinates, or if it still easier to convert it from cartesian to polar coordinates",
"attachments": [],
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"reference": null
},
{
"id": 960580497023565800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/04/2022 12:43:57",
"content": "easier for what purpose",
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"id": 960580741446635500,
"author_id": 493959876104683500,
"author_name": "Fugheth",
"timestamp": "04/04/2022 12:44:55",
"content": "i'm trying this to describe a particular planar geometry, if a can make it i would integrate and derivate and use it as input to optimization algoritms",
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{
"id": 960581059051937900,
"author_id": 493959876104683500,
"author_name": "Fugheth",
"timestamp": "04/04/2022 12:46:11",
"content": "i need to know the area above these curves (that ill need to define as a function by parts), the perimeter and curvature",
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{
"id": 960581440511291400,
"author_id": 493959876104683500,
"author_name": "Fugheth",
"timestamp": "04/04/2022 12:47:42",
"content": "these geometries forms closed curves that describes various shapes , these shapes are used for simulating solid rocket engines",
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{
"id": 960581831370088600,
"author_id": 493959876104683500,
"author_name": "Fugheth",
"timestamp": "04/04/2022 12:49:15",
"content": "and the geometries affect all the functioning of the engine by various specific factors that rely mostly in the geometry itself",
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{
"id": 960582124556136600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/04/2022 12:50:25",
"content": "area of what curves? the circle equations?",
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"id": 960582145825456300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/04/2022 12:50:30",
"content": "here",
"attachments": [],
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{
"id": 960592090553786400,
"author_id": 493959876104683500,
"author_name": "Fugheth",
"timestamp": "04/04/2022 13:30:01",
"content": "the curves i'm using vary from lines to circles and arcs",
"attachments": [],
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{
"id": 960592283747618800,
"author_id": 493959876104683500,
"author_name": "Fugheth",
"timestamp": "04/04/2022 13:30:47",
"content": "and using these different types i can build a multi function curve that forms a determined shape",
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{
"id": 960594952050602000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/04/2022 13:41:23",
"content": "this is still very abstract. do you have a specific equation that you want to calculate an area of?",
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{
"id": 960595248059404300,
"author_id": 493959876104683500,
"author_name": "Fugheth",
"timestamp": "04/04/2022 13:42:34",
"content": "yes",
"attachments": [],
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},
{
"id": 960595454561771600,
"author_id": 493959876104683500,
"author_name": "Fugheth",
"timestamp": "04/04/2022 13:43:23",
"content": "y = 2 * x [from y=0 to y=2]",
"attachments": [],
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},
{
"id": 960595485087903700,
"author_id": 493959876104683500,
"author_name": "Fugheth",
"timestamp": "04/04/2022 13:43:30",
"content": "y = 8 * x [from y=2 to y= 15]",
"attachments": [],
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},
{
"id": 960595556105863200,
"author_id": 493959876104683500,
"author_name": "Fugheth",
"timestamp": "04/04/2022 13:43:47",
"content": "y = sqrt((x^2)+18) [from y=15 to y=18]",
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},
{
"id": 960597747193503700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/04/2022 13:52:29",
"content": "well that's confusing to shade",
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"author_name": "Fugheth",
"timestamp": "04/04/2022 13:59:37",
"content": "i hadnt ploted yet, but it was supposed to be all linked in one curve",
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"id": 960599892705828900,
"author_id": 493959876104683500,
"author_name": "Fugheth",
"timestamp": "04/04/2022 14:01:01",
"content": "this last curve was supposed to look like a circle, i guess its because the original equation is x^2+y^2 = 18",
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"author_name": "riemann",
"timestamp": "04/04/2022 14:07:59",
"content": "your previous expression is not the same as this",
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"timestamp": "04/04/2022 14:09:12",
"content": "i'll fix the math and come back after its allright",
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"author_name": "Fugheth",
"timestamp": "04/04/2022 14:09:59",
"content": "but for now ill close the channel and let it available",
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"id": 960602155411185700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/04/2022 14:10:00",
"content": "even when fixed i'm still unsure what to shade",
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"timestamp": "04/04/2022 14:11:00",
"content": "i should look like the right side, but with all the end linked and the top part in the format of an arc",
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"timestamp": "04/04/2022 14:11:45",
"content": "do you also want to add the condition x > 0 ?",
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"timestamp": "04/04/2022 14:11:58",
"content": "yes",
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"author_name": "riemann",
"timestamp": "04/04/2022 14:14:20",
"content": "once you connect the dots, i don't see this being too hard. you just integrate",
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"id": 960603258764808300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/04/2022 14:14:24",
"content": "$\\int_0^{\\sqrt{3}} \\sqrt{18 - x^2}dx$",
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"id": 960603345628827800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/04/2022 14:14:44",
"content": "**riemann**",
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"timestamp": "04/04/2022 14:14:49",
"content": "Then you subtract off the triangles you want to exclude",
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"timestamp": "04/04/2022 14:15:09",
"content": "hmmm",
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"author_name": "Fugheth",
"timestamp": "04/04/2022 14:15:51",
"content": "great",
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},
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"id": 960603790782898300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/04/2022 14:16:30",
"content": "that's the hard part",
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"timestamp": "04/04/2022 14:16:44",
"content": "the rest is figuring out the triangles that intersect that red shaded area that you want to exclude",
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"timestamp": "04/04/2022 14:17:27",
"content": "i'll try this way",
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"timestamp": "04/04/2022 14:18:42",
"content": "thank you @riemann !!",
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"author_name": "Fugheth",
"timestamp": "04/04/2022 14:19:26",
"content": "https://tenor.com/view/the-office-bow-michael-scott-steve-carell-office-gif-12985913",
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"id": 960619628516753400,
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"author_name": "Mathematics Bot",
"timestamp": "04/04/2022 15:19:26",
"content": "@Fugheth Has your question been resolved?",
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"id": 960629390918692900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/04/2022 15:58:14",
"content": ".close",
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},
{
"id": 960629392395088000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/04/2022 15:58:14",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
ccd760062fc44fcf97ba659cf238a75b
|
198,261 |
[
{
"id": 1016193591036612600,
"author_id": 290478875925020700,
"author_name": "luostneibma",
"timestamp": "09/04/2022 23:50:32",
"content": "What's qn?",
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"reference": null
},
{
"id": 1016195380578373800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "09/04/2022 23:57:38",
"content": "Abbreviation for \"**q**uestio**n**\"",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016195650234372100,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/04/2022 23:58:43",
"content": "why am I keep being assigned this server HAHA",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016195681720991900,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/04/2022 23:58:50",
"content": ".close",
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"reference": null
},
{
"id": 1016195702474416100,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/04/2022 23:58:55",
"content": "oh no",
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},
{
"id": 1016195716324020200,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/04/2022 23:58:58",
"content": "I think it’s glitched",
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"reference": null
},
{
"id": 1016195767154790400,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "09/04/2022 23:59:10",
"content": "It waits a minute",
"attachments": [],
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"reference": null
},
{
"id": 1016195789539778700,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/04/2022 23:59:16",
"content": "ohh oki",
"attachments": [],
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"reference": null
},
{
"id": 1016216149622538400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/05/2022 01:20:10",
"content": "Available help channel!",
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"mentions": [],
"reference": null
},
{
"id": 1016218188993798100,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:28:16",
"content": "Not quite sure on how to solve it",
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{
"id": 1016218190960922600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/05/2022 01:28:17",
"content": "Pinned a message.",
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{
"id": 1016219359410143200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:32:55",
"content": "First, find the radius of the circle.",
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{
"id": 1016219819231682600,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:34:45",
"content": "@Slezzzy",
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"id": 1016219895861628900,
"author_id": 282639486087856130,
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"timestamp": "09/05/2022 01:35:03",
"content": "wdym",
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},
{
"id": 1016220071128997900,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:35:45",
"content": "Well, it's a circle. A radius is a line segment from the center of the circle to the circle's edge, like that line that goes up and to the left. Find the length of the radius.",
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"id": 1016220108739330200,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:35:54",
"content": "oh gotcha",
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},
{
"id": 1016220353284014200,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:36:52",
"content": "how do i find that in this example?",
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{
"id": 1016220450617045100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:37:15",
"content": "Well, the center is at (0, 0) (you can tell by the x and y axes meeting up there).",
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"id": 1016220502215368700,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:37:28",
"content": "okay",
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},
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"id": 1016220504979427300,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:37:28",
"content": "Then you have the point at the edge of the circle.",
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},
{
"id": 1016220555134914700,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:37:40",
"content": "So, use the Pythagorean theorem to find the length of the radius.",
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"id": 1016220762169937900,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:38:30",
"content": "but i would need to know what the points equal for Pythagorean theorem",
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{
"id": 1016220796370300900,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:38:38",
"content": "You know their positions.",
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},
{
"id": 1016220924078457000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:39:08",
"content": "The center is at (0, 0) and the point on the circle's edge is at (-3/5, 4/5).",
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},
{
"id": 1016221015656894500,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:39:30",
"content": "and how can i use that to use py theorem",
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{
"id": 1016221150956761100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:40:02",
"content": "Well, you use the change in x and the change in y with r² = x² + y².",
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},
{
"id": 1016221220091478000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:40:19",
"content": "The r is the hypotenuse of a right triangle.",
"attachments": [],
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},
{
"id": 1016221277834453100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:40:33",
"content": "x is the distance from the center to right under the other point.",
"attachments": [],
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},
{
"id": 1016221311799926800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:40:41",
"content": "y is the distance from there up to the point.",
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},
{
"id": 1016221359791165400,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:40:52",
"content": "And you turn at a right angle there.",
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{
"id": 1016221762050084900,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:42:28",
"content": "",
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"id": 1016221804794233000,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:42:38",
"content": "im still kinda confused",
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},
{
"id": 1016221809844174800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:42:39",
"content": "See the right triangle there?",
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},
{
"id": 1016221837589487700,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:42:46",
"content": "ohh",
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},
{
"id": 1016221840118648800,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:42:47",
"content": "yeah",
"attachments": [],
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},
{
"id": 1016221879624810600,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:42:56",
"content": "So the bottom edge is 3/5 long.",
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},
{
"id": 1016221906283810800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:43:02",
"content": "The left edge is 4/5 long.",
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},
{
"id": 1016221927095939100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:43:07",
"content": "How long is the hypotenuse?",
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},
{
"id": 1016222363043496000,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:44:51",
"content": "umm",
"attachments": [],
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},
{
"id": 1016222441548288000,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:45:10",
"content": "sorry im really new to this",
"attachments": [],
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"reference": null
},
{
"id": 1016222483977875500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:45:20",
"content": "What is the Pythagorean theorem?",
"attachments": [],
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},
{
"id": 1016222528462667800,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:45:31",
"content": "a2 + b2 = c2",
"attachments": [],
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},
{
"id": 1016222563841609700,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:45:39",
"content": "Right, and what are a and b here?",
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},
{
"id": 1016222670934786000,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:46:05",
"content": "is it the 3/5 and 4/5",
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},
{
"id": 1016222721287401500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:46:17",
"content": "Yes, it's the two sides that touch the right angle.",
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},
{
"id": 1016222751964532900,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:46:24",
"content": "The c is the side across from the right angle.",
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},
{
"id": 1016222819291516900,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:46:40",
"content": "so (-3/5^2) + 4/5^2 = c^2",
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},
{
"id": 1016222903454417000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:47:00",
"content": "Yes, except when you square a negative number, you put it in parentheses.",
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},
{
"id": 1016222958743720000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:47:13",
"content": "Fractions, too.",
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},
{
"id": 1016222998140813300,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:47:23",
"content": "(-3/5)² + (4/5)² = c².",
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},
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"id": 1016222999172632600,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:47:23",
"content": "oh ok",
"attachments": [],
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},
{
"id": 1016223045595177000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:47:34",
"content": "That way, the whole fraction is squared instead of just the bottom or whatever.",
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},
{
"id": 1016223120434143400,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:47:52",
"content": "so c is 1",
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},
{
"id": 1016223137408495600,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:47:56",
"content": "Right.",
"attachments": [],
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},
{
"id": 1016223153275547600,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:48:00",
"content": "So, the radius is 1.",
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},
{
"id": 1016223198280429600,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:48:10",
"content": "oh ok",
"attachments": [],
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},
{
"id": 1016223230324916200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:48:18",
"content": "We call a circle with radius 1 a unit circle, since one meaning of unit is one.",
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},
{
"id": 1016223276860719100,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:48:29",
"content": "oh ok",
"attachments": [],
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},
{
"id": 1016223364609753200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:48:50",
"content": "Unit circles that have the origin (0, 0) as the center are easier to do trigonometry with.",
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},
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"id": 1016223397585367000,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:48:58",
"content": "okay",
"attachments": [],
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},
{
"id": 1016223636249653200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:49:55",
"content": "OK, now with a circle like that, sin(θ) is the y coordinate where the angle hits the circle edge, cos(θ) is the x coordinate, and tan(θ) is the slope of the line that hits the circle edge.",
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},
{
"id": 1016223828684308500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:50:41",
"content": "So, since sin(θ) is the y coordinate where the angle hits the circle, what's sin(θ)?",
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},
{
"id": 1016224085816127500,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:51:42",
"content": "it is",
"attachments": [],
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"reference": null
},
{
"id": 1016224161145831400,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:52:00",
"content": "is it 4/5",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016224175351922700,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:52:03",
"content": "Yes.",
"attachments": [],
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},
{
"id": 1016224244226592900,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:52:20",
"content": "Since cos(θ) is the x coordinate where it hits the circle, what's cos(θ)?",
"attachments": [],
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"reference": null
},
{
"id": 1016224310446268400,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:52:36",
"content": "-3/5",
"attachments": [],
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"reference": null
},
{
"id": 1016224392939839600,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:52:55",
"content": "Good. Now, since tan(θ) is the slope of the line that hits the circle, what's tan(θ)?",
"attachments": [],
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},
{
"id": 1016224737711624200,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:54:18",
"content": "1?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016224767700914200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:54:25",
"content": "How did you get 1?",
"attachments": [],
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"reference": null
},
{
"id": 1016224794741588000,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:54:31",
"content": "im not sure",
"attachments": [],
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"reference": null
},
{
"id": 1016224825905262600,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:54:39",
"content": "it was kinda a guess",
"attachments": [],
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"reference": null
},
{
"id": 1016224844687364100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:54:43",
"content": "OK, how do you get a slope normally?",
"attachments": [],
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},
{
"id": 1016224875796508700,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:54:50",
"content": "y = mx + b",
"attachments": [],
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},
{
"id": 1016224943454834700,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:55:07",
"content": "That does use the slope, but it needs you to already have the slope.",
"attachments": [],
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"reference": null
},
{
"id": 1016225007153713200,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:55:22",
"content": "is it y = y0 thing",
"attachments": [],
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"reference": null
},
{
"id": 1016225087105536000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:55:41",
"content": "The slope is m = (y₁ - y₂)/(x₁ - x₂)",
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},
{
"id": 1016225121230389200,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:55:49",
"content": "ohh yeah",
"attachments": [],
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"reference": null
},
{
"id": 1016225128247480300,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:55:51",
"content": "that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016225257687875600,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:56:21",
"content": "So, we have the point on the edge of the circle (-3/5, 4/5) and the center (0, 0).",
"attachments": [],
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},
{
"id": 1016225342597378200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:56:42",
"content": "So, fill the two y values in on the top of the fraction and the two x values on the bottom.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016225394111824000,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:56:54",
"content": "ok so",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016225613729775600,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:57:46",
"content": "(-3-4)/(5-5)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016225674152906800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:58:01",
"content": "No, it's a bit different.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016225719417839700,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:58:12",
"content": "The ys are on top.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016225763399311400,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:58:22",
"content": "What are the two ys from (-3/5, 4/5) and (0, 0)?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016225768818344100,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:58:23",
"content": "oh woops",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016225770579959800,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:58:24",
"content": "mb",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016225805594022000,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 01:58:32",
"content": "i j did the wrong ones",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016225819187753000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:58:35",
"content": "Oh, OK.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016226063740846100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 01:59:34",
"content": "So, what is the slope?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016226200189935600,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:00:06",
"content": "(5-5)/(-3-4)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016226228354691100,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:00:13",
"content": "so 0?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016226243852636300,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:00:17",
"content": "thats not right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016226309980028900,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:00:32",
"content": "Yeah, 0 would be a flat line.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016226357732184200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:00:44",
"content": "What are the two y coordinates in (-3/5, 4/5) and (0, 0)?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016226375310508200,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:00:48",
"content": "ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016226406549696500,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:00:55",
"content": "5 0",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016226453962104800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:01:07",
"content": "How did you get the 5?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016226497511571500,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:01:17",
"content": "",
"attachments": [
{
"id": 1016226497033408600,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1016226497033408632/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 797
}
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},
{
"id": 1016226516587249700,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:01:22",
"content": "Oh, OK.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016226589710757900,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:01:39",
"content": "With coordinates, the whole part before the comma is the x and the whole part after the comma is the y.",
"attachments": [],
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"reference": null
},
{
"id": 1016226608983589000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:01:44",
"content": "Like (x, y).",
"attachments": [],
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"reference": null
},
{
"id": 1016226621444857900,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:01:47",
"content": "oh mb",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016226628516466700,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:01:48",
"content": "i didnt format",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016226680240607200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:02:01",
"content": "What part comes after the comma in (-3/5, 4/5)?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016226768836907000,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:02:22",
"content": "hmm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016226779943424000,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:02:24",
"content": "4/5",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016226799094608000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:02:29",
"content": "Good.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016226836662984700,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:02:38",
"content": "So, y₁ is 4/5.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016226860797010000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:02:44",
"content": "And y₂ is 0.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016226895458730100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:02:52",
"content": "So, the top of the slope fraction will be 4/5 - 0.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016226946625048600,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:03:04",
"content": "Right, so the bottom will be -3/5 - 0.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016226960738897900,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:03:08",
"content": "cool",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016227238594760700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/05/2022 02:04:14",
"content": "**Chai T. Rex**",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1016227238661849099/537482727557955597.png",
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},
{
"id": 1016227263450202100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:04:20",
"content": "There we go",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016227286141370400,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:04:25",
"content": "Do you see how we got that?",
"attachments": [],
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},
{
"id": 1016227302381732000,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:04:29",
"content": "ye",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016227350477820000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:04:40",
"content": "OK, so now use arithmetic to simplify that.",
"attachments": [],
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},
{
"id": 1016227558272020500,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:05:30",
"content": "so",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016227566836785200,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:05:32",
"content": "-4/3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016227584436084700,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:05:36",
"content": "Good.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016227610818256900,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:05:43",
"content": "So, tan(θ) is -4/3.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016227685007097900,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:06:00",
"content": "One thing to notice is that tan(θ) is also sin(θ)/cos(θ).",
"attachments": [],
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},
{
"id": 1016227758420009100,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:06:18",
"content": "ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016227768935137300,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:06:20",
"content": "so",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016227794914656400,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:06:26",
"content": "for tan on the answer i can put -4/3",
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},
{
"id": 1016227856940023800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/05/2022 02:06:41",
"content": "**Chai T. Rex**",
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"timestamp": "09/05/2022 02:06:48",
"content": "Yes, that's right.",
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"timestamp": "09/05/2022 02:07:14",
"content": "Now, you have:\n\nsin(θ) = 4/5\ncos(θ) = -3/5\ntan(θ) = -4/3",
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"id": 1016228056328839300,
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"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:07:29",
"content": "Do you know how to get the other three from that?",
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"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:08:09",
"content": "yep",
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"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:08:11",
"content": "recipricals",
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"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:08:12",
"content": "ty",
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"id": 1016228251829543000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:08:15",
"content": "You're welcome.",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:08:50",
"content": "This only works for unit (radius 1) circles centered on the origin (0, 0).",
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"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:09:16",
"content": "For other circles, you need to move the whole circle so the center is at (0, 0), then shrink or grow it so that the radius is 1.",
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"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:09:30",
"content": "But they'll give you unit circles for a while before you have to do that, I think.",
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"timestamp": "09/05/2022 02:09:36",
"content": "ok ty",
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"timestamp": "09/05/2022 02:09:41",
"content": "No problem.",
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"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/05/2022 02:09:47",
"content": "why did you calculate tan as the gradient lol",
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"author_name": "夢雪",
"timestamp": "09/05/2022 02:09:58",
"content": "tan = sin/cos by definition",
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"id": 1016228715132375000,
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"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:10:06",
"content": "Because it's important to know that the tangent gives the slope.",
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"author_name": "夢雪",
"timestamp": "09/05/2022 02:10:13",
"content": "eh",
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"id": 1016228781339443200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/05/2022 02:10:22",
"content": "kinda gives the wrong impression of the definition of tan",
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{
"id": 1016229209552728000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:12:04",
"content": "Tangent comes from a tangent line, not from its relation to sine and cosine.",
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"author_name": "夢雪",
"timestamp": "09/05/2022 02:13:58",
"content": "i mean you can give whatever definition of tan you want",
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"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/05/2022 02:14:03",
"content": "you can even start from power series",
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"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/05/2022 02:14:25",
"content": "but knowing tan = sin/cos is probably way more important than anything else",
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"id": 1016230132521893900,
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"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:15:44",
"content": "Right, but I mentioned that.",
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"author_name": "夢雪",
"timestamp": "09/05/2022 02:20:31",
"content": "eh",
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"id": 1016231380973256700,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/05/2022 02:20:41",
"content": "just seems kinda convoluted",
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"id": 1016231413378465800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/05/2022 02:20:49",
"content": "especially since the typical schoolbook definition is sin/cos",
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"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:22:01",
"content": "",
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"author_name": "夢雪",
"timestamp": "09/05/2022 02:26:03",
"content": "do you know how to evaluate the trig functions at -5pi/3",
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"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:26:08",
"content": "i dont",
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"id": 1016232829568426100,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/05/2022 02:26:27",
"content": "do you know how to convert the angle to something that you know how to evaluate",
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"id": 1016232889714745300,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:26:41",
"content": "wdym",
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"id": 1016232911940362200,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:26:46",
"content": "like deg to rad?",
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"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/05/2022 02:27:05",
"content": "like for example sin(x + 2pi) = sin(x)",
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"id": 1016233041686962200,
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"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:27:17",
"content": "i dont",
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},
{
"id": 1016233143780507600,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/05/2022 02:27:42",
"content": "welp",
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"id": 1016233178215755800,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/05/2022 02:27:50",
"content": "im on a phone so it's a bit hard for me to explain",
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{
"id": 1016233250714292200,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/05/2022 02:28:07",
"content": "see if someone else can type the equations for you",
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"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:29:25",
"content": "okay",
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"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:30:00",
"content": "",
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"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:30:47",
"content": "Do you know how to find sine and cosine of π/3?",
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"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:30:52",
"content": "i dont",
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"id": 1016233971052453900,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:30:59",
"content": "is it just sin(pi/3",
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"id": 1016234000320303200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:31:06",
"content": "Have you dealt much with degrees?",
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"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:31:20",
"content": "i havent",
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"id": 1016234106402640000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:31:31",
"content": "Do you know how to convert degrees to radians?",
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"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:31:34",
"content": "yes",
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"timestamp": "09/05/2022 02:31:36",
"content": "\\[\\trigvalues\\]",
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"id": 1016234140481364100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/05/2022 02:31:39",
"content": "**Chai T. Rex**",
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"author_name": "夢雪",
"timestamp": "09/05/2022 02:31:45",
"content": "oh wow",
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{
"id": 1016234168897769500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:31:46",
"content": "OK, there's a pattern here.",
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"id": 1016234170458050600,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:31:46",
"content": "deg x pi/180",
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"id": 1016234185331060700,
"author_id": 118663865264242690,
"author_name": "夢雪",
"timestamp": "09/05/2022 02:31:50",
"content": "neat",
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{
"id": 1016234246916026400,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:32:05",
"content": "See how the tops are 0 through 4 for sine and 4 through 0 for cosine?",
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"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:32:30",
"content": "ye",
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{
"id": 1016234435173171300,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:32:50",
"content": "And then the angles are like 0, π/6, π/4, π/3, and π/2.",
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"id": 1016234474159218700,
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"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:32:59",
"content": "okay",
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},
{
"id": 1016234539758133200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:33:15",
"content": "Then you can use sine/cosine to get tangent.",
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"id": 1016234654992437200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:33:42",
"content": "But these are very common angles, so just remember the patterns to get the common angles.",
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"timestamp": "09/05/2022 02:34:23",
"content": "okay",
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"id": 1016234845552251000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:34:27",
"content": "So, 5π/3 is in the fourth quadrant.",
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"id": 1016234960866246800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:34:55",
"content": "You know how sine is the y coordinate?",
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"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:35:30",
"content": "i didnt",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:36:46",
"content": "I mean from earlier when we found the sine here.",
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"timestamp": "09/05/2022 02:37:01",
"content": "We used the y value of where it hit the unit circle's edge.",
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"id": 1016235522168983600,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:37:09",
"content": "Do you remember that?",
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"timestamp": "09/05/2022 02:37:36",
"content": "oh yeah",
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"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:37:48",
"content": "So, here's a diagram:",
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"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:38:01",
"content": "If you start at (1, 0)",
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:38:31",
"content": "And then you go along the circle's edge until you get to the first line that hits the circle's edge",
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"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:39:03",
"content": "You'll have travelled a certain number of radians along the circle's edge, right?",
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"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:40:03",
"content": "",
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"timestamp": "09/05/2022 02:40:09",
"content": "yeah",
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"id": 1016236284227887100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:40:10",
"content": "See what I mean?",
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"id": 1016236298152988800,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:40:14",
"content": "i think so?",
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},
{
"id": 1016236387349057500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:40:35",
"content": "OK, so if you go the same number of radians down towards the other line",
"attachments": [],
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"reference": null
},
{
"id": 1016236451559641100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:40:50",
"content": "It'll be directly under the other point.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016236683135561700,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:41:46",
"content": "",
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{
"id": 1016236769563398100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:42:06",
"content": "See how if you go the same number of radians the other way, you're right under the first point we travelled to?",
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},
{
"id": 1016236913285419000,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:42:40",
"content": "yeah",
"attachments": [],
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"reference": null
},
{
"id": 1016236951604559900,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:42:50",
"content": "OK, so they'll have the same x value.",
"attachments": [],
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"reference": null
},
{
"id": 1016236981262487600,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:42:57",
"content": "Which means their cosines will be the same.",
"attachments": [],
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},
{
"id": 1016237024090542100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:43:07",
"content": "But the y values will be negatives of each other.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016237075885998200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:43:19",
"content": "Does that make sense?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016237146291576800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:43:36",
"content": "Like if the first point's y value is 1/3, the second point's will be -1/3.",
"attachments": [],
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"reference": null
},
{
"id": 1016237250264178800,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:44:01",
"content": "it kinda does?",
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},
{
"id": 1016237316622270600,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:44:17",
"content": "OK, so their sines will be negatives of each other.",
"attachments": [],
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"reference": null
},
{
"id": 1016237435572727800,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:44:45",
"content": "okay",
"attachments": [],
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},
{
"id": 1016237673414930400,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:45:42",
"content": "```\n CT | Nothing\n----+--------\nSC | S T\n```",
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},
{
"id": 1016237743145242800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:45:58",
"content": "So, that's how the quadrants work.",
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},
{
"id": 1016237775659471000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:46:06",
"content": "The first quadrant has nothing change.",
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},
{
"id": 1016237781661532200,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:46:07",
"content": "what does ct sc and st",
"attachments": [],
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},
{
"id": 1016237819288625300,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:46:16",
"content": "The second quadrant has cosine and tangent change signs.",
"attachments": [],
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},
{
"id": 1016237859247767700,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:46:26",
"content": "Like the negative of the quadrant 1 version.",
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},
{
"id": 1016237945713336300,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:46:47",
"content": "The third quadrant has negative versions of sine and cosine from the first quadrant.",
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},
{
"id": 1016237979183890400,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:46:55",
"content": "oh okay",
"attachments": [],
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},
{
"id": 1016238016018255900,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:47:03",
"content": "The fourth quadrant has sine and tangent negative from first quadrant.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016238163225747500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:47:38",
"content": "So, we're in the fourth quadrant.",
"attachments": [],
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"reference": null
},
{
"id": 1016238292846518300,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:48:09",
"content": "Now, remember how we walked counterclockwise to the first point?",
"attachments": [],
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},
{
"id": 1016238332746928100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:48:19",
"content": "And then we walked clockwise to the second point?",
"attachments": [],
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},
{
"id": 1016238377210753200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:48:29",
"content": "Both from (1, 0).",
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},
{
"id": 1016238404494700500,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:48:36",
"content": "uh yea?",
"attachments": [],
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},
{
"id": 1016238457552638000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:48:49",
"content": "OK, so (1, 0)'s angle is 0 radians.",
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},
{
"id": 1016238474506027000,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:48:53",
"content": "ok",
"attachments": [],
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},
{
"id": 1016238492994502700,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:48:57",
"content": "It's also 2π radians if you go around the circle.",
"attachments": [],
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},
{
"id": 1016238535730266100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:49:07",
"content": "Now our angle is 5/3 π radians, right?",
"attachments": [],
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},
{
"id": 1016238754379341800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:49:59",
"content": "That's 1/3 π less than 2π.",
"attachments": [],
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},
{
"id": 1016238775204073500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:50:04",
"content": "Does that make sense?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016238920683491300,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:50:39",
"content": "i think so",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016239058109878300,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:51:12",
"content": "tbh i might j start googling as this is due soon",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016239135486394400,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:51:30",
"content": "im j out of time",
"attachments": [],
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},
{
"id": 1016239147414995100,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/05/2022 02:51:33",
"content": "is this abt special angles?",
"attachments": [],
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},
{
"id": 1016239213118763000,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:51:49",
"content": "This is about finding the main three trigonometric results for 5/3 π.",
"attachments": [],
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},
{
"id": 1016239337366618100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:52:18",
"content": "OK, so if you go 1/3 π clockwise, you can go 1/3 π counterclockwise to get an angle in the first quadrant.",
"attachments": [],
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},
{
"id": 1016239375241199600,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:52:27",
"content": "Which is the angle 1/3 π.",
"attachments": [],
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"reference": null
},
{
"id": 1016239478857269200,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 02:52:52",
"content": "okay",
"attachments": [],
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"reference": null
},
{
"id": 1016239521957953500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:53:02",
"content": "Now we know from the chart above what the sine and cosine are for 1/3 π (or 60°).",
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},
{
"id": 1016239554002419700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/05/2022 02:53:10",
"content": "**Chai T. Rex**",
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{
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"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:53:27",
"content": "The sine is 1/2 and the cosine is sqrt(3)/2.",
"attachments": [],
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},
{
"id": 1016239696222883800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:53:44",
"content": "The x values will be the same since the points are right under or on top of each other.",
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},
{
"id": 1016239738111410200,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:53:54",
"content": "And the y values will just be the negatives of each other.",
"attachments": [],
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"reference": null
},
{
"id": 1016239772798308500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:54:02",
"content": "Does that make sense?",
"attachments": [],
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"reference": null
},
{
"id": 1016239775914664000,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/05/2022 02:54:03",
"content": "what’s the qn?",
"attachments": [],
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},
{
"id": 1016239839223500800,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/05/2022 02:54:18",
"content": "bec I need to practice this too",
"attachments": [],
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},
{
"id": 1016239917585670100,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:54:37",
"content": "This one ^",
"attachments": [],
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},
{
"id": 1016240082707025900,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/05/2022 02:55:16",
"content": "ohh so sin cos and tan of -5pi/3?",
"attachments": [],
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},
{
"id": 1016240135773368300,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:55:29",
"content": "Yes, that's right.",
"attachments": [],
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},
{
"id": 1016240287657508900,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/05/2022 02:56:05",
"content": "sin of it is -rt3/2 is it?",
"attachments": [],
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},
{
"id": 1016240397808320500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:56:31",
"content": "Yes.",
"attachments": [],
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},
{
"id": 1016240489441267800,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/05/2022 02:56:53",
"content": "cos is -1/2?",
"attachments": [],
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"reference": null
},
{
"id": 1016240506562420900,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:56:57",
"content": "Nope.",
"attachments": [],
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},
{
"id": 1016240581158121500,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:57:15",
"content": "The cosine is the x value, which will be the same as in the first quadrant.",
"attachments": [],
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},
{
"id": 1016240626204942300,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/05/2022 02:57:26",
"content": "ohhh 1/2",
"attachments": [],
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},
{
"id": 1016240636359364600,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:57:28",
"content": "",
"attachments": [
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"id": 1016240641736462300,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/05/2022 02:57:29",
"content": "oh right the quad",
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},
{
"id": 1016240952010080300,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/05/2022 02:58:43",
"content": "wait which quad are we looking at right now",
"attachments": [],
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},
{
"id": 1016241019592908800,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:58:59",
"content": "5/3 π is in the fourth quadrant.",
"attachments": [],
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"reference": null
},
{
"id": 1016241133938032600,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/05/2022 02:59:27",
"content": "so tan is -rt3",
"attachments": [],
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},
{
"id": 1016241158420172800,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/05/2022 02:59:33",
"content": "wait",
"attachments": [],
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"reference": null
},
{
"id": 1016241207095070700,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/05/2022 02:59:44",
"content": "ya",
"attachments": [],
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"reference": null
},
{
"id": 1016241212539281400,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 02:59:45",
"content": "Yes, that's right.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016241220198084600,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/05/2022 02:59:47",
"content": "I think",
"attachments": [],
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"reference": null
},
{
"id": 1016241228536361000,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/05/2022 02:59:49",
"content": "phew",
"attachments": [],
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"reference": null
},
{
"id": 1016241412108456100,
"author_id": 960097812211728400,
"author_name": "swaggofishballs",
"timestamp": "09/05/2022 03:00:33",
"content": "tysm!",
"attachments": [],
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"reference": null
},
{
"id": 1016241544598134800,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 03:01:05",
"content": "@Chai T. Rex well ty for the help sadly i cant access the hw anymore though",
"attachments": [],
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{
"id": 1016241580383932400,
"author_id": 537482727557955600,
"author_name": "Chai T. Rex",
"timestamp": "09/05/2022 03:01:13",
"content": "No problem.",
"attachments": [],
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},
{
"id": 1016241655562637400,
"author_id": 282639486087856130,
"author_name": "Slezzzy",
"timestamp": "09/05/2022 03:01:31",
"content": "yeah i was tryna get the last 3 hw problems i had before 12 but oh well",
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},
{
"id": 1016245431635812400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/05/2022 03:16:31",
"content": "@Slezzzy Has your question been resolved?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/05/2022 03:16:36",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
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30be9fd17d3147f4ac02c39a54f9956f
|
198,262 |
[
{
"id": 1016245705821659300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/05/2022 03:17:37",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016246087616565400,
"author_id": 421932356820008960,
"author_name": "Znimator",
"timestamp": "09/05/2022 03:19:08",
"content": "Was studying today at school new theme.\nWorking in 3D with points",
"attachments": [],
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"reference": null
},
{
"id": 1016246090443522200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/05/2022 03:19:08",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
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{
"id": 1016246136446664700,
"author_id": 421932356820008960,
"author_name": "Znimator",
"timestamp": "09/05/2022 03:19:19",
"content": "And the formulas was about finding distance",
"attachments": [],
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"reference": null
},
{
"id": 1016246162451333100,
"author_id": 421932356820008960,
"author_name": "Znimator",
"timestamp": "09/05/2022 03:19:26",
"content": "And middle position",
"attachments": [],
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},
{
"id": 1016246192239292400,
"author_id": 421932356820008960,
"author_name": "Znimator",
"timestamp": "09/05/2022 03:19:33",
"content": "There was one math problem",
"attachments": [],
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},
{
"id": 1016246416349335600,
"author_id": 421932356820008960,
"author_name": "Znimator",
"timestamp": "09/05/2022 03:20:26",
"content": "I need to find A by using B and Middle Point M",
"attachments": [],
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},
{
"id": 1016246466047647700,
"author_id": 421932356820008960,
"author_name": "Znimator",
"timestamp": "09/05/2022 03:20:38",
"content": "We made it by using formulas",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016246472985022500,
"author_id": 421932356820008960,
"author_name": "Znimator",
"timestamp": "09/05/2022 03:20:40",
"content": "Like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016246586621296800,
"author_id": 421932356820008960,
"author_name": "Znimator",
"timestamp": "09/05/2022 03:21:07",
"content": "(1+x) / 2 = 3; x = 5",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016246688400281600,
"author_id": 421932356820008960,
"author_name": "Znimator",
"timestamp": "09/05/2022 03:21:31",
"content": "Why cant i just do B + M*2?",
"attachments": [],
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},
{
"id": 1016246903224139800,
"author_id": 421932356820008960,
"author_name": "Znimator",
"timestamp": "09/05/2022 03:22:22",
"content": "Or something like this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016247004428517400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/05/2022 03:22:46",
"content": "you can do 2M - B actually",
"attachments": [],
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"reference": null
},
{
"id": 1016247246246920200,
"author_id": 421932356820008960,
"author_name": "Znimator",
"timestamp": "09/05/2022 03:23:44",
"content": "Is any difference between Vectors tho?\nI just used to simplify formulas while working with code in 3D (Unity for example)",
"attachments": [],
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},
{
"id": 1016247341910589400,
"author_id": 421932356820008960,
"author_name": "Znimator",
"timestamp": "09/05/2022 03:24:07",
"content": "Makes sense",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "09/05/2022 03:39:07",
"content": "@Znimator Has your question been resolved?",
"attachments": [],
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/05/2022 03:54:07",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
78d62b6bb0e5460cb7771c70bb0a5d8c
|
198,263 |
[
{
"id": 1016255146373681300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/05/2022 03:55:08",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016256270338113500,
"author_id": 931284437667307500,
"author_name": "bbree",
"timestamp": "09/05/2022 03:59:35",
"content": ".open",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016256311450665000,
"author_id": 931284437667307500,
"author_name": "bbree",
"timestamp": "09/05/2022 03:59:45",
"content": "kek",
"attachments": [],
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},
{
"id": 1016256313111625900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/05/2022 03:59:46",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
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"id": 1016256402056024200,
"author_id": 931284437667307500,
"author_name": "bbree",
"timestamp": "09/05/2022 04:00:07",
"content": "hello!! would like help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016256451758543000,
"author_id": 931284437667307500,
"author_name": "bbree",
"timestamp": "09/05/2022 04:00:19",
"content": "it's geometric sequence",
"attachments": [],
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},
{
"id": 1016256476114858000,
"author_id": 931284437667307500,
"author_name": "bbree",
"timestamp": "09/05/2022 04:00:25",
"content": "The Association of Entrepreneurs of the Philippines would like to help 15 small-scale companies by giving them opportunities to sell their products (ex. Cupcakes, cookies, and the like). The association would also like to give a loan package as additional capital to these entrepreneurs with very minimum interest. They decided to use the idea of geometric sequence in giving the amount. If the association is willing to give a total loanable amount between P3.5 M and P4 M for these 15 companies, determine a reasonable amount to be given to the smallest company. As the Finance Officer, determine the loanable amount receive by the biggest company. Remember that the amount given will depend on their capacity to pay. You must provide the association with the necessary computations to support your proposal.Show in the solution that you use the formula for Geometric Sequence and Geometric Series.",
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},
{
"id": 1016256506380959700,
"author_id": 931284437667307500,
"author_name": "bbree",
"timestamp": "09/05/2022 04:00:32",
"content": "i don't rlly get this",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016260282114379800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/05/2022 04:15:32",
"content": "@bbree Has your question been resolved?",
"attachments": [],
"mentions": [
{
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"name": "bbree",
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{
"id": 1016267686453465100,
"author_id": 931284437667307500,
"author_name": "bbree",
"timestamp": "09/05/2022 04:44:57",
"content": "@Helpers thanks!",
"attachments": [],
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},
{
"id": 1016267838811541500,
"author_id": 931284437667307500,
"author_name": "bbree",
"timestamp": "09/05/2022 04:45:34",
"content": "P3.5 M as in 3.5milion pesos, 4 M as in 4million pesos",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016275389959655400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/05/2022 05:15:34",
"content": "@bbree Has your question been resolved?",
"attachments": [],
"mentions": [
{
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"name": "bbree",
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"id": 1016290561260519600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/05/2022 06:15:51",
"content": "@bbree Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 931284437667307500,
"name": "bbree",
"discriminator": "0017",
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{
"id": 1016330765191090200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/05/2022 08:55:36",
"content": "@bbree Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 931284437667307500,
"name": "bbree",
"discriminator": "0017",
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"id": 1016330815409492000,
"author_id": 931284437667307500,
"author_name": "bbree",
"timestamp": "09/05/2022 08:55:48",
"content": "Someone? Help?",
"attachments": [],
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"reference": null
},
{
"id": 1016391214511161300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/05/2022 12:55:49",
"content": "@bbree Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 931284437667307500,
"name": "bbree",
"discriminator": "0017",
"nickname": "bbree",
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},
{
"id": 1016394368040566900,
"author_id": 564113178422673400,
"author_name": "arun-woopers",
"timestamp": "09/05/2022 13:08:21",
"content": "alright",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016443960421515300,
"author_id": 931284437667307500,
"author_name": "bbree",
"timestamp": "09/05/2022 16:25:24",
"content": "Anyone help?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016564757769236600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/06/2022 00:25:25",
"content": "@bbree Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 931284437667307500,
"name": "bbree",
"discriminator": "0017",
"nickname": "bbree",
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}
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},
{
"id": 1016806376569311200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/06/2022 16:25:31",
"content": "@bbree Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 931284437667307500,
"name": "bbree",
"discriminator": "0017",
"nickname": "bbree",
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},
{
"id": 1016926270090641400,
"author_id": 260118674306760700,
"author_name": "monikanicity",
"timestamp": "09/07/2022 00:21:56",
"content": "Yeah that's a very confusing question",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1016926663386353800,
"author_id": 260118674306760700,
"author_name": "monikanicity",
"timestamp": "09/07/2022 00:23:30",
"content": "Are we looking for a geometric sequence with first term 3.5M and 15th term 4M",
"attachments": [],
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"reference": null
},
{
"id": 1016940469751644200,
"author_id": 931284437667307500,
"author_name": "bbree",
"timestamp": "09/07/2022 01:18:21",
"content": "Yep",
"attachments": [],
"mentions": [
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"name": "monikanicity",
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},
{
"id": 1016940831481008100,
"author_id": 260118674306760700,
"author_name": "monikanicity",
"timestamp": "09/07/2022 01:19:48",
"content": "well then the amount given to the smallest company is 3.5M and the amount given to the largest company is 4M",
"attachments": [],
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"reference": null
},
{
"id": 1016941050465628300,
"author_id": 260118674306760700,
"author_name": "monikanicity",
"timestamp": "09/07/2022 01:20:40",
"content": "Did you Google translate the question?",
"attachments": [],
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"reference": null
},
{
"id": 1016995643035766900,
"author_id": 931284437667307500,
"author_name": "bbree",
"timestamp": "09/07/2022 04:57:36",
"content": "nope",
"attachments": [],
"mentions": [
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},
{
"id": 1017088030743482400,
"author_id": 238607490873425920,
"author_name": "IRIS",
"timestamp": "09/07/2022 11:04:43",
"content": "",
"attachments": [
{
"id": 1017088029371932800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1017088029371932803/IMG_1432.jpg",
"fileName": "IMG_1432.jpg",
"fileSizeBytes": 651991
}
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},
{
"id": 1017088032442155100,
"author_id": 238607490873425920,
"author_name": "IRIS",
"timestamp": "09/07/2022 11:04:43",
"content": "@bbree, I believe this is your solution",
"attachments": [],
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},
{
"id": 1017090252298539000,
"author_id": 238607490873425920,
"author_name": "IRIS",
"timestamp": "09/07/2022 11:13:32",
"content": "[3500000.0, 3533542.557598246, 3567406.573245129, 3601595.1276621106, 3636111.3310950156, 3670958.3235969837, 3706139.2753141304, 3741657.386773943, 3777515.889176448, 3813718.044688159, 3850267.146738851, 3887166.5203211713, 3924419.5222931267, 3962029.541683469, 4000000.000000003]",
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},
{
"id": 1017090341863686300,
"author_id": 238607490873425920,
"author_name": "IRIS",
"timestamp": "09/07/2022 11:13:54",
"content": "Here is all the terms from 1 to 15 for reference to 9 dp",
"attachments": [],
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"reference": null
},
{
"id": 1017091114974593200,
"author_id": 238607490873425920,
"author_name": "IRIS",
"timestamp": "09/07/2022 11:16:58",
"content": "If you do it on a basic calc it will spit out 4 000 000 as the 15th term. I computed everything in python however you'd round to nearest cent in a real scenario and give to 2dp",
"attachments": [],
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},
{
"id": 1017100940807000000,
"author_id": 931284437667307500,
"author_name": "bbree",
"timestamp": "09/07/2022 11:56:01",
"content": "Ah omg thanks!!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1017127561949630600,
"author_id": 848185036309659600,
"author_name": "Arthur Morgan",
"timestamp": "09/07/2022 13:41:48",
"content": "Can anyone help me with math problem today is my Birthday",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1017133218371211400,
"author_id": 781570288881631200,
"author_name": "wumpus",
"timestamp": "09/07/2022 14:04:16",
"content": "Not when you’re taking someone else’s channel",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1017133244455583900,
"author_id": 781570288881631200,
"author_name": "wumpus",
"timestamp": "09/07/2022 14:04:22",
"content": "But happy birthday",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1017154042339786800,
"author_id": 848185036309659600,
"author_name": "Arthur Morgan",
"timestamp": "09/07/2022 15:27:01",
"content": "I am sorry it was kind of an emergency",
"attachments": [],
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},
{
"id": 1017154233532960900,
"author_id": 848185036309659600,
"author_name": "Arthur Morgan",
"timestamp": "09/07/2022 15:27:47",
"content": "Thanks",
"attachments": [],
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{
"id": 1017262642307530800,
"author_id": 209300311091838980,
"author_name": "Peacemaker II",
"timestamp": "09/07/2022 22:38:33",
"content": "you need a geometric series where the sum of the first 15 terms is between 3.5 and 4 million",
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"id": 1017317103570796700,
"author_id": 260118674306760700,
"author_name": "monikanicity",
"timestamp": "09/08/2022 02:14:58",
"content": "There's an infinite number of those",
"attachments": [],
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"reference": null
},
{
"id": 1017317530936807400,
"author_id": 260118674306760700,
"author_name": "monikanicity",
"timestamp": "09/08/2022 02:16:40",
"content": "Eh either way it's a horrible mess of a question might as well be that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1017584125852516500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/08/2022 19:56:01",
"content": "@bbree Has your question been resolved?",
"attachments": [],
"mentions": [
{
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{
"id": 1017639007099826200,
"author_id": 302689827927883800,
"author_name": "Maxeyy",
"timestamp": "09/08/2022 23:34:06",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 1017639028767608800,
"author_id": 302689827927883800,
"author_name": "Maxeyy",
"timestamp": "09/08/2022 23:34:11",
"content": "@bbree close your channel",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "09/09/2022 00:31:20",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
3e3a9e1f48cd4c5fb1cbfbdc7a40d14c
|
198,264 |
[
{
"id": 1017653664741068800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/09/2022 00:32:20",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1017653742872580100,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:32:39",
"content": "reserved",
"attachments": [],
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"reference": null
},
{
"id": 1017653744982306800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/09/2022 00:32:39",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1017653742872580100,
"channelId": 486844875632017400,
"guildId": null
}
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"id": 1017653839194763300,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:33:02",
"content": "I am doing some financial math for a foundations math 30 course. I am currently learning about compounding interest and how to calculate future value. The other question is regarding the use of the rule of 72 which is defined in the first picture. I am just wanting a sanity check on my work to see if I'm working through the problem correctly.",
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:35:15",
"content": "I feel like example 2 is wrong. Wouldn't the time it takes to double your money again be shorter with compounding interest? I am only at an algebra 1 level of understanding and I'm only at functions. So I don't yet understand exponential relationships really or how to graph them. I don't know about logarithms yet either.",
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"author_name": "Ann",
"timestamp": "09/09/2022 00:36:10",
"content": "3.8% compounded monthly is a little bit faster than 3.8% compounded annually, but not drastically so.",
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:36:37",
"content": "right, but in example 2 it's wanting me to use the rule of 72 to caclulate the approximation of how long it will take to double my principal",
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:37:05",
"content": "from what I understood that is the correct way to apply the formula",
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"timestamp": "09/09/2022 00:37:55",
"content": ",calc 72/3.8",
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"author_name": "TeXit",
"timestamp": "09/09/2022 00:37:56",
"content": "Result:\n```\n18.947368421053\n```",
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:38:16",
"content": "that would be if it is applied annually correct",
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"author_name": "Ann",
"timestamp": "09/09/2022 00:38:19",
"content": "ok so let me make sure i understand your question correctly",
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:38:27",
"content": "the compounding period",
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"author_name": "Ann",
"timestamp": "09/09/2022 00:38:56",
"content": "you're asking this:\n\"is it true that the time to double the investment will be shorter for 3.8% p.a. compounded monthly compared with 3.8% p.a. compounded annually?\"",
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"author_name": "Ann",
"timestamp": "09/09/2022 00:39:01",
"content": "is that correct?",
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"timestamp": "09/09/2022 00:39:18",
"content": "",
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"timestamp": "09/09/2022 00:40:38",
"content": "or t = 72/R where R is interest rate per period as a percentage",
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:41:15",
"content": "since it said compounded monthly I divided by 12 since that is the frequency of the compounding period of the annual interest rate",
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:41:52",
"content": "According to the rule of 72 that formula can help you derivce the approximation of how many years it will take to double your investment at a given interest rate.",
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"author_name": "Ann",
"timestamp": "09/09/2022 00:42:06",
"content": "...well thanks for not answering my question i guess",
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:42:19",
"content": "It should be inferred",
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:42:37",
"content": "that is not what I am asking",
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"id": 1017656348755902500,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:43:00",
"content": "I am asking if my calculation for the given question is correct based on the rule of 72 for approximating the time it will take to double an investment",
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"id": 1017656480960352300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/09/2022 00:43:32",
"content": "your calculation is written in a way i find somewhat odd",
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"id": 1017656559574188200,
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"author_name": "Ann",
"timestamp": "09/09/2022 00:43:50",
"content": "namely that you seem to have written $72 \\divisionsymbol \\frac{3.8}{12}$ but then you ignored the 12",
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"timestamp": "09/09/2022 00:43:53",
"content": "**Ann**",
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:44:13",
"content": "well I divided the number of periods by 12 to conver it to years",
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"id": 1017656683381653500,
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:44:20",
"content": "because it output like 227 or something",
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"author_name": "Ann",
"timestamp": "09/09/2022 00:44:25",
"content": "well yeah",
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:44:25",
"content": "which I believe would be the number of months",
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"author_name": "Ann",
"timestamp": "09/09/2022 00:44:28",
"content": "you put in the interest rate per month",
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"id": 1017656740319330400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/09/2022 00:44:34",
"content": "you got a doubling time measured in months",
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"id": 1017656767372611600,
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:44:40",
"content": "right",
"attachments": [],
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"id": 1017656831226683400,
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"author_name": "Ann",
"timestamp": "09/09/2022 00:44:55",
"content": "so you essentially divided by 12 and multiplied by 12",
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"id": 1017656851497763000,
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:45:00",
"content": "yes XD",
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"id": 1017656901506445300,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:45:12",
"content": "but",
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"id": 1017656942069551100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/09/2022 00:45:22",
"content": "which brought you back to the same result as if you'd just taken the nominal annual interest rate and applied the rule of 72 to it",
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"id": 1017657014245138600,
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:45:39",
"content": "uhm",
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"id": 1017657033371156500,
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:45:43",
"content": "yeah you are right.",
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"id": 1017657051083706400,
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:45:48",
"content": "My question is then",
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"id": 1017657303580807300,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:46:48",
"content": "if I calculate it in terms of monthly compounding periods it's 227.36842",
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"id": 1017657412842434600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/09/2022 00:47:14",
"content": "227.36ish *months*",
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{
"id": 1017657451018993700,
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:47:23",
"content": "but it felt weird writing that as a period of time, so I converted it back to years, but since it's slightly faster to compound per monthly period",
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"id": 1017657643172626400,
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:48:09",
"content": "I was worried if I left it per annum that it would be wrong.",
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"id": 1017657658515406800,
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:48:12",
"content": "It's only an approximation anyways",
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"id": 1017657676047581200,
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"author_name": "Ann",
"timestamp": "09/09/2022 00:48:17",
"content": "yes it is",
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:48:19",
"content": "but in the question it says compounded monthly",
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"id": 1017657736219082800,
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"author_name": "Ann",
"timestamp": "09/09/2022 00:48:31",
"content": "which brings us back to what i said at the beginning:\n> 3.8% compounded monthly is a little bit faster than 3.8% compounded annually, but not drastically so.",
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"id": 1017657770247471100,
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"author_name": "Ann",
"timestamp": "09/09/2022 00:48:39",
"content": "we are indeed working with approximations",
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"id": 1017657777470058500,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:48:41",
"content": "right",
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"id": 1017657822424600600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/09/2022 00:48:52",
"content": "like",
"attachments": [],
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"id": 1017657995821338600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/09/2022 00:49:33",
"content": "here i'm going to calculate the _exact_ doubling times for 3.8% p.a. annually and 3.8% p.a. monthly",
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"id": 1017658111839973400,
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:50:01",
"content": "To double the investment again is the time frame linear? Wouldn't it speed up as your principal compounds with accrued interest? Like would the first doubling period to get to 7k(approximately 18.9) years be the same amount of time to double again?",
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"id": 1017658160045101000,
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:50:12",
"content": "To calculate exactly you have to use logarithms?",
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"id": 1017658201879093200,
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"author_name": "Ann",
"timestamp": "09/09/2022 00:50:22",
"content": "yes to both",
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"id": 1017658259815026700,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:50:36",
"content": "The time frame would be the same?",
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"id": 1017658353696112600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/09/2022 00:50:58",
"content": "yes. it takes the same amount of time for any investment to double",
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"id": 1017658376441823400,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:51:04",
"content": "Oh ok",
"attachments": [],
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{
"id": 1017658382972375000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/09/2022 00:51:05",
"content": "no matter the size it started at",
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"id": 1017658413389455400,
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:51:12",
"content": "Oh interesting",
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{
"id": 1017658455110197200,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:51:22",
"content": "My intuition felt like it would speed up",
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{
"id": 1017658507484483700,
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:51:35",
"content": "but my understanding is not adequate yet",
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"id": 1017658530750275600,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:51:40",
"content": "I need to learn more algebra.",
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"id": 1017658579047694300,
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"author_name": "Ann",
"timestamp": "09/09/2022 00:51:52",
"content": "anyway, the exact times rounded to the nearest 0.01 are 18.58 years for annual compounding and 18.26 years for monthly compounding",
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"author_name": "Ann",
"timestamp": "09/09/2022 00:52:00",
"content": "which is not that drastic of a difference all things considered",
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"id": 1017658650250199000,
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:52:09",
"content": "no it's not",
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"id": 1017658656554233900,
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:52:10",
"content": "you're right",
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"id": 1017658688380612700,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:52:18",
"content": "in the scheme of things, practically speaking.",
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"id": 1017658741224640500,
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:52:31",
"content": "The approximation is sufficient then for cases where precision isn't absolutely necessary",
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"id": 1017658809549856800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/09/2022 00:52:47",
"content": "yes",
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"id": 1017658873164878000,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:53:02",
"content": "Ok, I just wanted to make sure I understood and was applying the rule correctly.",
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"id": 1017658896661356500,
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:53:08",
"content": "One more quick thing",
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"id": 1017658972561489900,
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"timestamp": "09/09/2022 00:53:26",
"content": "",
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"author_name": "Dankus",
"timestamp": "09/09/2022 00:53:31",
"content": "Did I apply the formula correclty",
"attachments": [],
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"reference": null
},
{
"id": 1017659021089583100,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:53:37",
"content": "for future value",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1017659542135373800,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:55:42",
"content": "I rounded to the nearest hundreth",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1017659594702606300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/09/2022 00:55:54",
"content": "you rounded to the nearest _cent_.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1017659619096678500,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:56:00",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1017659626508013600,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:56:02",
"content": "cent",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1017659687539318800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/09/2022 00:56:16",
"content": ",calc 1250 * (1 + 0.035/12)^(12*5)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1017659689154138100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "09/09/2022 00:56:17",
"content": "Result:\n```\n1488.6785364286\n```",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1017659704366870500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "09/09/2022 00:56:20",
"content": "ok yes you're good",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1017659723039912000,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:56:25",
"content": "Ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1017659751775092900,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:56:32",
"content": "thank you very much Ann, I really appreciate it.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1017659790018744300,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:56:41",
"content": "Sorry I just get worried since no answer key is provided for the examples",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1017659803738308600,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:56:44",
"content": "I can't check if I'm wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1017659833060692000,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:56:51",
"content": "and I want to make sure I'm the right track before the next class",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1017659980196880400,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:57:26",
"content": "You are a great mathematician! 😄 Thank you senpai.",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1017660093048815600,
"author_id": 272928139154292740,
"author_name": "Dankus",
"timestamp": "09/09/2022 00:57:53",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1017660095959674900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "09/09/2022 00:57:54",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
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37e1cc4e42fe444992ed12790d29c8ce
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