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{
"id": 1003607851375272000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 06:19:17",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1003609876263612400,
"author_id": 708594064060055600,
"author_name": "PB",
"timestamp": "08/01/2022 06:27:20",
"content": "",
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"id": 1003609878801170400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 06:27:21",
"content": "Pinned a message.",
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{
"id": 1003610097768992900,
"author_id": 708594064060055600,
"author_name": "PB",
"timestamp": "08/01/2022 06:28:13",
"content": "Is it possible to prove that the shape on the coordinate is an Parallelogram",
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},
{
"id": 1003610269588664400,
"author_id": 772659291458895900,
"author_name": "JellyShark",
"timestamp": "08/01/2022 06:28:54",
"content": "i think i can speak Chinese to you",
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"reference": null
},
{
"id": 1003610390661451800,
"author_id": 852256521986768900,
"author_name": ".,..",
"timestamp": "08/01/2022 06:29:23",
"content": "cool",
"attachments": [],
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"reference": null
},
{
"id": 1003610399712751600,
"author_id": 852256521986768900,
"author_name": ".,..",
"timestamp": "08/01/2022 06:29:25",
"content": "I cant",
"attachments": [],
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},
{
"id": 1003610901162766500,
"author_id": 772659291458895900,
"author_name": "JellyShark",
"timestamp": "08/01/2022 06:31:25",
"content": "AP跟BQ平行, 如果有辦法找到這兩段長度一樣就可以吧",
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"reference": null
},
{
"id": 1003610952693985300,
"author_id": 852256521986768900,
"author_name": ".,..",
"timestamp": "08/01/2022 06:31:37",
"content": "the fuck",
"attachments": [],
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"reference": null
},
{
"id": 1003611343460515800,
"author_id": 772659291458895900,
"author_name": "JellyShark",
"timestamp": "08/01/2022 06:33:10",
"content": "or AB=PQ",
"attachments": [],
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"reference": null
},
{
"id": 1003611617935753300,
"author_id": 708594064060055600,
"author_name": "PB",
"timestamp": "08/01/2022 06:34:15",
"content": "題目無提及AP和BQ等長",
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{
"id": 1003611865781383200,
"author_id": 708594064060055600,
"author_name": "PB",
"timestamp": "08/01/2022 06:35:15",
"content": "AP和BQ的長度，如果不假設紅色和藍色為直角的話，似乎也無法求出",
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},
{
"id": 1003612755208716400,
"author_id": 772659291458895900,
"author_name": "JellyShark",
"timestamp": "08/01/2022 06:38:47",
"content": "我試試看",
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},
{
"id": 1003615641657409500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 06:50:15",
"content": "@PB Has your question been resolved?",
"attachments": [],
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"name": "PB",
"discriminator": "4429",
"nickname": "Please Correct My Grammar",
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{
"id": 1003616305263427600,
"author_id": 852470857569402900,
"author_name": "Teek0505",
"timestamp": "08/01/2022 06:52:53",
"content": "Lmfao so random",
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{
"id": 852256521986768900,
"name": ".,..",
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"nickname": "dotcom",
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{
"id": 1003623700714750000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 07:22:16",
"content": "@PB Has your question been resolved?",
"attachments": [],
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"id": 708594064060055600,
"name": "PB",
"discriminator": "4429",
"nickname": "Please Correct My Grammar",
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{
"id": 1003626087688962200,
"author_id": 772659291458895900,
"author_name": "JellyShark",
"timestamp": "08/01/2022 07:31:45",
"content": "",
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"author_id": 772659291458895900,
"author_name": "JellyShark",
"timestamp": "08/01/2022 07:32:00",
"content": "這樣應該可以知道有沒有平行了",
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{
"id": 1003631250919137400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 07:52:16",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
d5c5004ea9d745c688b1e7a2bd99a980
|
197,566 |
[
{
"id": 1003631505333047400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 07:53:17",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1003632834285682800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 07:58:34",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1003633372943351800,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/01/2022 08:00:42",
"content": "when you have an equation that is of the form sin(a) = sin(b), you can have many solutions indeed",
"attachments": [],
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"name": "Leplaź Equation",
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{
"id": 1003633522386415700,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/01/2022 08:01:18",
"content": "either a = b + 2nπ , or a = π - b + 2nπ",
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},
{
"id": 1003634021852532900,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/01/2022 08:03:17",
"content": "what do you mean, i just told you about this case",
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"id": 1003634084037284000,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/01/2022 08:03:32",
"content": "i'm not talking about the sin(x) = c case",
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{
"id": 1003634328300945400,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/01/2022 08:04:30",
"content": "in general : sin(a) = sin(b) => a = b + 2nπ or a = π - b + 2nπ",
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},
{
"id": 1003634505589981200,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/01/2022 08:05:12",
"content": "here, your a is 4x and your b is 5x",
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{
"id": 1003634547734347800,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/01/2022 08:05:22",
"content": ".close",
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"id": 1003634617884102800,
"author_id": 689108355632988300,
"author_name": "nisrine",
"timestamp": "08/01/2022 08:05:39",
"content": "i finished dont worry",
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{
"id": 1003634662054310000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 08:05:50",
"content": "Channel closed",
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}
] |
help-9
|
ef0f2408328848e7a75c949fdd0345c9
|
197,567 |
[
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"id": 1003635358359113700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 08:08:36",
"content": "Available help channel!",
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},
{
"id": 1003636935199301800,
"author_id": 318211165907845100,
"author_name": "ThatPool",
"timestamp": "08/01/2022 08:14:52",
"content": "Hi, Im trying to derive a simple formula to make curve from 1 position to another\nif first position is 0,0 and second position is 9,9\ni want it to make a curve from that straight line and give me y coordinate if i put x and vice versa",
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"id": 1003636937325809700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 08:14:52",
"content": "Pinned a message.",
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"id": 1003637023246131200,
"author_id": 318211165907845100,
"author_name": "ThatPool",
"timestamp": "08/01/2022 08:15:13",
"content": "",
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{
"id": 1003637508271251500,
"author_id": 318211165907845100,
"author_name": "ThatPool",
"timestamp": "08/01/2022 08:17:08",
"content": "so if i put y=3 in the formula, it should give x=0.1 and y=4.5 it gives x=4.5 and y=8 gives x=4",
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{
"id": 1003637650076471300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/01/2022 08:17:42",
"content": "hold up",
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},
{
"id": 1003637846516703400,
"author_id": 318211165907845100,
"author_name": "ThatPool",
"timestamp": "08/01/2022 08:18:29",
"content": "its should be pretty simple to solve but i havent done maths in like 6 months and my brain is not responding now ;-;",
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"author_name": "Ann",
"timestamp": "08/01/2022 08:18:58",
"content": "",
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"id": 1003638017057099800,
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"author_name": "Ann",
"timestamp": "08/01/2022 08:19:09",
"content": "you want your curve to pass through these points?",
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{
"id": 1003638133985919000,
"author_id": 318211165907845100,
"author_name": "ThatPool",
"timestamp": "08/01/2022 08:19:37",
"content": "yes not the center one tho",
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{
"id": 1003638160405839900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/01/2022 08:19:44",
"content": "> and y=4.5 it gives x=4.5",
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},
{
"id": 1003638256153403500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/01/2022 08:20:06",
"content": "anyway even with these control points there are many curves that might fit your bill",
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},
{
"id": 1003638262918824000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/01/2022 08:20:08",
"content": "what's this for?",
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},
{
"id": 1003638462957748200,
"author_id": 318211165907845100,
"author_name": "ThatPool",
"timestamp": "08/01/2022 08:20:56",
"content": "im making a game and need to get all the points for line renderer to make a curve and not straight line",
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{
"id": 1003638742583623800,
"author_id": 318211165907845100,
"author_name": "ThatPool",
"timestamp": "08/01/2022 08:22:02",
"content": "",
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{
"id": 1003638819783970800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/01/2022 08:22:21",
"content": "there are many types of curves",
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{
"id": 1003638894081872000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/01/2022 08:22:39",
"content": "circles, parabolas, ellipses, bézier curves...",
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},
{
"id": 1003638920556331000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/01/2022 08:22:45",
"content": "what does this curve represent?",
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{
"id": 1003638990462791700,
"author_id": 318211165907845100,
"author_name": "ThatPool",
"timestamp": "08/01/2022 08:23:02",
"content": "bezier i think",
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},
{
"id": 1003639088844390400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/01/2022 08:23:25",
"content": "not what i was asking",
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{
"id": 1003639132532256800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/01/2022 08:23:35",
"content": "you're making a game, alright. in the context of the game, how will your curve be used?",
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{
"id": 1003639209116053500,
"author_id": 318211165907845100,
"author_name": "ThatPool",
"timestamp": "08/01/2022 08:23:54",
"content": "ball moves straight but when i make it move right, it doesnt go straight to right but it curves to that position",
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{
"id": 1003639441723764700,
"author_id": 318211165907845100,
"author_name": "ThatPool",
"timestamp": "08/01/2022 08:24:49",
"content": "like a snake",
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},
{
"id": 1003639498955042800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/01/2022 08:25:03",
"content": "..eh?",
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{
"id": 1003639665888346100,
"author_id": 318211165907845100,
"author_name": "ThatPool",
"timestamp": "08/01/2022 08:25:43",
"content": "umm",
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},
{
"id": 1003639689149960200,
"author_id": 318211165907845100,
"author_name": "ThatPool",
"timestamp": "08/01/2022 08:25:48",
"content": "wait",
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},
{
"id": 1003640071691436000,
"author_id": 318211165907845100,
"author_name": "ThatPool",
"timestamp": "08/01/2022 08:27:19",
"content": "",
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{
"id": 1003640256853196800,
"author_id": 318211165907845100,
"author_name": "ThatPool",
"timestamp": "08/01/2022 08:28:03",
"content": "im poor at explaining too 🤦",
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},
{
"id": 1003640295340113900,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/01/2022 08:28:13",
"content": "that you do seem to be.",
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{
"id": 1003640368786579500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/01/2022 08:28:30",
"content": "so you have a snake controlled by (presumably) the player and you want it to rotate smoothly while still remaining in motion when the player presses Left or Right?",
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"id": 1003640445953396700,
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"author_name": "ThatPool",
"timestamp": "08/01/2022 08:28:49",
"content": "yes",
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{
"id": 1003640846199029800,
"author_id": 318211165907845100,
"author_name": "ThatPool",
"timestamp": "08/01/2022 08:30:24",
"content": "i thought about calculating the positions where player can move to like when player press right, it will determine the possible position and move to that but through a curve",
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{
"id": 1003640847146942600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/01/2022 08:30:24",
"content": "hm",
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},
{
"id": 1003640924900950000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/01/2022 08:30:43",
"content": "well then it sounds like (a) you should really be rotating the snake's velocity vector if anything",
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{
"id": 1003640970757292200,
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"author_name": "Ann",
"timestamp": "08/01/2022 08:30:54",
"content": "and (b) if that's happening at a uniform rate, the snake should end up moving in a circle",
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{
"id": 1003641113300701200,
"author_id": 318211165907845100,
"author_name": "ThatPool",
"timestamp": "08/01/2022 08:31:28",
"content": "yes",
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},
{
"id": 1003641280678600800,
"author_id": 318211165907845100,
"author_name": "ThatPool",
"timestamp": "08/01/2022 08:32:08",
"content": "but camera doesnt rotate with the snake so it will still go on right side if you hold right key",
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"id": 1003641409120780300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/01/2022 08:32:38",
"content": "well sure",
"attachments": [],
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},
{
"id": 1003641742525988900,
"author_id": 318211165907845100,
"author_name": "ThatPool",
"timestamp": "08/01/2022 08:33:58",
"content": "should i play with velocity ? cuz right now im not using any rigidbody on the snake",
"attachments": [],
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},
{
"id": 1003641880787030000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/01/2022 08:34:31",
"content": "further assistance seems to require knowing more implementation details",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003641885920874600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/01/2022 08:34:32",
"content": "so idk",
"attachments": [],
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"reference": null
},
{
"id": 1003642201676468200,
"author_id": 318211165907845100,
"author_name": "ThatPool",
"timestamp": "08/01/2022 08:35:47",
"content": "yeah im sorry i cant explain clearly atm\nthank you for the assistance. will come back when i can explain it properly or give you a clear idea for it",
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"reference": null
},
{
"id": 1003642233557352400,
"author_id": 318211165907845100,
"author_name": "ThatPool",
"timestamp": "08/01/2022 08:35:55",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003642235226701800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 08:35:55",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
60cc2ba1172644e495de6b15762800dc
|
197,568 |
[
{
"id": 1003642488885620700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 08:36:56",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003647376101216300,
"author_id": 491595139966566400,
"author_name": "cumquat",
"timestamp": "08/01/2022 08:56:21",
"content": "help pls!",
"attachments": [],
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"reference": null
},
{
"id": 1003647378311630800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 08:56:21",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
"messageId": 1003647376101216300,
"channelId": 486844875632017400,
"guildId": null
}
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"id": 1003647391011971100,
"author_id": 491595139966566400,
"author_name": "cumquat",
"timestamp": "08/01/2022 08:56:24",
"content": "how do i do this?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003647453620347000,
"author_id": 491595139966566400,
"author_name": "cumquat",
"timestamp": "08/01/2022 08:56:39",
"content": "",
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"id": 1003648153540645000,
"author_id": 491595139966566400,
"author_name": "cumquat",
"timestamp": "08/01/2022 08:59:26",
"content": "nvm i got it!",
"attachments": [],
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},
{
"id": 1003648357178286200,
"author_id": 491595139966566400,
"author_name": "cumquat",
"timestamp": "08/01/2022 09:00:15",
"content": "nvm again how please",
"attachments": [],
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},
{
"id": 1003648604772249700,
"author_id": 491595139966566400,
"author_name": "cumquat",
"timestamp": "08/01/2022 09:01:14",
"content": "nvm i got it again",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003648643234005000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "08/01/2022 09:01:23",
"content": "What a roller coaster",
"attachments": [],
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"reference": null
},
{
"id": 1003652380925120600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 09:16:14",
"content": "@cumquat Has your question been resolved?",
"attachments": [],
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 09:31:14",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
294635ea47724c28ab0308a22cacd4ce
|
197,569 |
[
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"id": 1003656409424080900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 09:32:15",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003659850263314400,
"author_id": 982955199096307700,
"author_name": "Harsh Kumar",
"timestamp": "08/01/2022 09:45:55",
"content": "",
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"content": "Pinned a message.",
"attachments": [],
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"messageId": 1003659850263314400,
"channelId": 486844875632017400,
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"id": 1003659852788273300,
"author_id": 982955199096307700,
"author_name": "Harsh Kumar",
"timestamp": "08/01/2022 09:45:56",
"content": "Plz help me to find it's range😊",
"attachments": [],
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"reference": null
},
{
"id": 1003663632791511200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 10:00:57",
"content": "@Harsh Kumar Has your question been resolved?",
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"author_id": 852470857569402900,
"author_name": "Teek0505",
"timestamp": "08/01/2022 10:04:10",
"content": "(0,inf) excluding 1/√2 I guess",
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"id": 1003664684009934800,
"author_id": 982955199096307700,
"author_name": "Harsh Kumar",
"timestamp": "08/01/2022 10:05:07",
"content": "@Teek0505 how will you plz explain",
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"id": 1003665173036421200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/01/2022 10:07:04",
"content": "Don't give out answers",
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"author_name": "Teek0505",
"timestamp": "08/01/2022 10:07:09",
"content": "1/√(x+1) , inf>√(x+1)≥0 so\n1/√(x+1)>0, and we can't take x=1 cuz that makes our denominator zero. So we exclude y=1/√2",
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"id": 1003665250081575000,
"author_id": 852470857569402900,
"author_name": "Teek0505",
"timestamp": "08/01/2022 10:07:22",
"content": "I need to confirm my answer in order to explain.",
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"author_name": "Teek0505",
"timestamp": "08/01/2022 10:07:42",
"content": "Wasn't giving away anything was just confirming so I could explain.",
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"id": 1003665342851203200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/01/2022 10:07:44",
"content": "That's not confirming, you straight up gave the answer",
"attachments": [],
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"id": 1003665465677201500,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/01/2022 10:08:14",
"content": "The purpose of the server isn't to give answers or do the work for people. You teach them and let them try it themselves",
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"id": 1003665493267324900,
"author_id": 852470857569402900,
"author_name": "Teek0505",
"timestamp": "08/01/2022 10:08:20",
"content": "Welp sorry I forgot the question mark.",
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"author_id": 852470857569402900,
"author_name": "Teek0505",
"timestamp": "08/01/2022 10:08:30",
"content": "Yes ik my bad.",
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"id": 1003665577988075600,
"author_id": 982955199096307700,
"author_name": "Harsh Kumar",
"timestamp": "08/01/2022 10:08:40",
"content": "@dldh06 what's your prblm in fact he is helping me no just like you ignoring😠 😡",
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"author_id": 852470857569402900,
"author_name": "Teek0505",
"timestamp": "08/01/2022 10:09:09",
"content": "Bruh",
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},
{
"id": 1003665718052663300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/01/2022 10:09:14",
"content": "Chill",
"attachments": [],
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},
{
"id": 1003665728068649100,
"author_id": 852470857569402900,
"author_name": "Teek0505",
"timestamp": "08/01/2022 10:09:16",
"content": "He had a fair point.",
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},
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"id": 1003665730123857900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/01/2022 10:09:17",
"content": "Chill my man",
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},
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"id": 1003665756925468700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/01/2022 10:09:23",
"content": "He's in like 20 channels",
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},
{
"id": 1003665759605633200,
"author_id": 852470857569402900,
"author_name": "Teek0505",
"timestamp": "08/01/2022 10:09:24",
"content": "I shouldn't give away answers lol",
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"id": 1003665771005739100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/01/2022 10:09:27",
"content": "Factor out the bottom",
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"id": 1003665777569837200,
"author_id": 852470857569402900,
"author_name": "Teek0505",
"timestamp": "08/01/2022 10:09:28",
"content": "People cheat",
"attachments": [],
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},
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"id": 1003665980226019300,
"author_id": 982955199096307700,
"author_name": "Harsh Kumar",
"timestamp": "08/01/2022 10:10:16",
"content": "@Teek0505 no bro u r helping, u r not letting me cheat I was stuck to this question😩 😭",
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"author_id": 852470857569402900,
"author_name": "Teek0505",
"timestamp": "08/01/2022 10:10:39",
"content": "I said people cheat. Not referring to you particularly.",
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"id": 1003666084416725100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/01/2022 10:10:41",
"content": "@Harsh Kumar first factor $x^2-1$ using difference of squares",
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"author_name": "Teek0505",
"timestamp": "08/01/2022 10:10:52",
"content": "Squares*",
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"id": 1003666137181077600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/01/2022 10:10:54",
"content": "I'll show why the range excludes 1/sqrt(2)",
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},
{
"id": 1003666164628594700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/01/2022 10:11:00",
"content": "**Umbraleviathan**",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/01/2022 10:11:01",
"content": "Brain moment.",
"attachments": [],
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},
{
"id": 1003666185457516500,
"author_id": 852470857569402900,
"author_name": "Teek0505",
"timestamp": "08/01/2022 10:11:05",
"content": "Happens",
"attachments": [],
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"id": 1003666917392908300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/01/2022 10:14:00",
"content": "Bro he left",
"attachments": [],
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},
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"id": 1003666931347357800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/01/2022 10:14:03",
"content": "He ain't here no more",
"attachments": [],
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"id": 1003666956790022300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/01/2022 10:14:09",
"content": "Man went poof",
"attachments": [],
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},
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"id": 1003667111173963800,
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"author_name": "Teek0505",
"timestamp": "08/01/2022 10:14:46",
"content": "He was kinda weird anyways",
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"id": 1003667995614253000,
"author_id": 733586866003116000,
"author_name": "Andrea276",
"timestamp": "08/01/2022 10:18:17",
"content": ".close",
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},
{
"id": 1003667997707206700,
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"timestamp": "08/01/2022 10:18:17",
"content": "Channel closed",
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}
] |
help-9
|
1d170a9c13504536abca2960a9a8555b
|
197,570 |
[
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"id": 1003673755534504000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 10:41:10",
"content": "Available help channel!",
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},
{
"id": 1003674572089999500,
"author_id": 414266157089030140,
"author_name": "Galaxoid",
"timestamp": "08/01/2022 10:44:25",
"content": "What is the velocity of a satellite in elliptical orbit around Jupiter at a perigree?\nPerigree = 1500km, Apogee = 500000km",
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"content": "Pinned a message.",
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"timestamp": "08/01/2022 10:45:44",
"content": "nvm",
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"id": 1003674920963801200,
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"author_name": "Galaxoid",
"timestamp": "08/01/2022 10:45:48",
"content": ".close",
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},
{
"id": 1003674923073552500,
"author_id": 805217272087838700,
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"timestamp": "08/01/2022 10:45:49",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
7d771d73eb0142dabe3718b5ffbf6a11
|
197,571 |
[
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 10:20:16",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 959462070603104300,
"author_id": 920767422821187600,
"author_name": "Spades",
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"timestamp": "04/01/2022 10:39:43",
"content": "Pinned a message.",
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"timestamp": "04/01/2022 10:39:52",
"content": "@Helpers",
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},
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"id": 959463353888170000,
"author_id": 220517274845577200,
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"timestamp": "04/01/2022 10:44:49",
"content": "the question is cut off",
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},
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"id": 959463605026308200,
"author_id": 920767422821187600,
"author_name": "Spades",
"timestamp": "04/01/2022 10:45:49",
"content": "",
"attachments": [
{
"id": 959463603105308800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/959463603105308752/IMG_2206.jpg",
"fileName": "IMG_2206.jpg",
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"id": 959463608507580500,
"author_id": 920767422821187600,
"author_name": "Spades",
"timestamp": "04/01/2022 10:45:50",
"content": "@ramonov",
"attachments": [],
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{
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"name": "ramonov",
"discriminator": "0921",
"nickname": "ℝamonov",
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}
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},
{
"id": 959463679668146200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "04/01/2022 10:46:07",
"content": "what have you tried?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959464076650623000,
"author_id": 920767422821187600,
"author_name": "Spades",
"timestamp": "04/01/2022 10:47:41",
"content": "A",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959464101581582300,
"author_id": 920767422821187600,
"author_name": "Spades",
"timestamp": "04/01/2022 10:47:47",
"content": "But i neep help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959465050224091300,
"author_id": 920767422821187600,
"author_name": "Spades",
"timestamp": "04/01/2022 10:51:33",
"content": "@Helpers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959468826330820600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 11:06:34",
"content": "@Spades Has your question been resolved?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959472303597572100,
"author_id": 174893623769301000,
"author_name": "SporkleBM || hibernating",
"timestamp": "04/01/2022 11:20:23",
"content": "Ive drawn a purple X. \nThat's where M is,",
"attachments": [
{
"id": 959472302469283800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/959472302469283860/IMG_20220401_204922.jpg",
"fileName": "IMG_20220401_204922.jpg",
"fileSizeBytes": 577503
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},
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"id": 959472496762048600,
"author_id": 174893623769301000,
"author_name": "SporkleBM || hibernating",
"timestamp": "04/01/2022 11:21:09",
"content": "You're asked to find the point which is four units away from M; \nSo if the difference of the coords is 4 (either in (x,y) position, it's the answer.)",
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},
{
"id": 959472601720299500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 11:21:34",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
7fb022c61c2f4ae08f1d989d41eaac21
|
197,572 |
[
{
"id": 1003681340614508700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 11:11:19",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003686671725903900,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:32:30",
"content": "",
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"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 11:32:30",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1003686671725903900,
"channelId": 486844875632017400,
"guildId": null
}
},
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"id": 1003688714796531800,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:40:37",
"content": "ok so what I thought should've been the correct answer",
"attachments": [],
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"reference": null
},
{
"id": 1003688721838772200,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:40:38",
"content": "actually isn't",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003688818165158000,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:41:01",
"content": "confused as to why",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003688888591716400,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:41:18",
"content": "si",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003688896170819700,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:41:20",
"content": "so",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003688903351472300,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:41:22",
"content": "given that",
"attachments": [],
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},
{
"id": 1003688947207114900,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:41:32",
"content": "",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1003688946481512509/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 31780
}
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},
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"id": 1003688963132903600,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:41:36",
"content": "y is equivalent to the sum of the opposite equal interiors",
"attachments": [],
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},
{
"id": 1003689283892285600,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:42:52",
"content": "",
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{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1003689283204423700/unknown.png",
"fileName": "unknown.png",
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"id": 1003689289940480000,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:42:54",
"content": "you know this",
"attachments": [],
"mentions": [],
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},
{
"id": 1003689496287658100,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:43:43",
"content": "Therefore must we not conclude y = COA + the angle above it",
"attachments": [],
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},
{
"id": 1003689521361191000,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:43:49",
"content": "So first let us find COA",
"attachments": [],
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},
{
"id": 1003689544522158100,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:43:55",
"content": "Where I found that it was",
"attachments": [],
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},
{
"id": 1003689578726703200,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:44:03",
"content": "180 - COB",
"attachments": [],
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},
{
"id": 1003689653687296100,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:44:21",
"content": "COB = 180- 90 - X",
"attachments": [],
"mentions": [],
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},
{
"id": 1003689667926962200,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:44:24",
"content": "This make sense?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003689762269446300,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:44:46",
"content": "so COB = 90 - X",
"attachments": [],
"mentions": [],
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},
{
"id": 1003689862177759200,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:45:10",
"content": "COA = 180 - 90 - X",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003689919031541900,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:45:24",
"content": "which is",
"attachments": [],
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},
{
"id": 1003689942439956500,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:45:29",
"content": "90 - X",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003690074183049300,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:46:01",
"content": "now the angle above",
"attachments": [],
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},
{
"id": 1003690086052925600,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:46:04",
"content": "it must be",
"attachments": [],
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},
{
"id": 1003690259504173000,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:46:45",
"content": "90 degrees - the CDA",
"attachments": [],
"mentions": [],
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},
{
"id": 1003690779899871200,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:48:49",
"content": "now if we go by the fact that the angle created in between a tangent and a chord is equal to the angle opposite the chord",
"attachments": [],
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},
{
"id": 1003690815593382000,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:48:58",
"content": "",
"attachments": [
{
"id": 1003690814876168300,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1003690814876168293/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 124182
}
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},
{
"id": 1003690822144889100,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:48:59",
"content": "then CDA must simply be equivalent to COA",
"attachments": [],
"mentions": [],
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},
{
"id": 1003690893745848300,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:49:16",
"content": "90 - 90 - x = -x",
"attachments": [],
"mentions": [],
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},
{
"id": 1003690927312883800,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:49:24",
"content": "-x + -x + 90",
"attachments": [],
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},
{
"id": 1003690983780794400,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:49:38",
"content": "= -2x + 90",
"attachments": [],
"mentions": [],
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},
{
"id": 1003691002453819500,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:49:42",
"content": "unaware why this is wrong",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003691324882567300,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:50:59",
"content": "180 - 90 - x",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003691333682221000,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:51:01",
"content": "90 - x",
"attachments": [],
"mentions": [],
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},
{
"id": 1003691570127708200,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:51:58",
"content": "90 - 2x",
"attachments": [],
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},
{
"id": 1003691601345913000,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:52:05",
"content": "90 - 2x",
"attachments": [],
"mentions": [],
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},
{
"id": 1003691773144600600,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:52:46",
"content": "i'm just so confussed",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003691788747407400,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 11:52:50",
"content": "whaat did i do wrong",
"attachments": [],
"mentions": [],
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},
{
"id": 1003693836066885800,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 12:00:58",
"content": "",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1003693835458723992/Screenshot_20220801-213122_Discord.jpg",
"fileName": "Screenshot_20220801-213122_Discord.jpg",
"fileSizeBytes": 280314
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"id": 1003697611825488000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 12:15:58",
"content": "@mqs Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 504932196650319900,
"name": "mqs",
"discriminator": "8704",
"nickname": "mqs",
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}
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},
{
"id": 1003705970410668000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 12:49:11",
"content": "@mqs Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 504932196650319900,
"name": "mqs",
"discriminator": "8704",
"nickname": "mqs",
"isBot": false
}
],
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},
{
"id": 1003706124584890500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/01/2022 12:49:48",
"content": "COA=180-(90-x)=180-90+x=90+x",
"attachments": [],
"mentions": [
{
"id": 504932196650319900,
"name": "mqs",
"discriminator": "8704",
"nickname": "mqs",
"isBot": false
}
],
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},
{
"id": 1003706136052117600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/01/2022 12:49:50",
"content": "ur mistake",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003706164363661300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/01/2022 12:49:57",
"content": "@mqs",
"attachments": [],
"mentions": [
{
"id": 504932196650319900,
"name": "mqs",
"discriminator": "8704",
"nickname": "mqs",
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}
],
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},
{
"id": 1003706669995409400,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 12:51:58",
"content": "i see",
"attachments": [],
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},
{
"id": 1003706677893271600,
"author_id": 504932196650319900,
"author_name": "mqs",
"timestamp": "08/01/2022 12:51:59",
"content": "thhank you",
"attachments": [],
"mentions": [],
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},
{
"id": 1003713520979943400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 13:19:11",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
c8aff82a960a4f23ab8d74cfa9b549d6
|
197,573 |
[
{
"id": 1003713773598679200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 13:20:11",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003714691891208200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 13:23:50",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1003714688388976800,
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"author_id": 805217272087838700,
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"timestamp": "08/01/2022 13:23:57",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
d76b93817efb428294b86093ee723467
|
197,574 |
[
{
"id": 1003717216673476700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 13:33:52",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003717792933085200,
"author_id": 932910941073465300,
"author_name": "VECTORFIELDS",
"timestamp": "08/01/2022 13:36:10",
"content": "If value is 740 it should output -2\nif value is 844 it should output 44\nif value is anything else it should be based of on this change. How to solve?",
"attachments": [],
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},
{
"id": 1003717794539516000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 13:36:10",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1003717792933085200,
"channelId": 486844875632017400,
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}
},
{
"id": 1003717870246703200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/01/2022 13:36:28",
"content": "too vague as stated",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003717925527617500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/01/2022 13:36:41",
"content": "what's the \"value\"? what's \"it\"? what does the output represent?",
"attachments": [],
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"reference": null
},
{
"id": 1003717958222237800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/01/2022 13:36:49",
"content": "is this for a video game or somesuch?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003718030502662300,
"author_id": 932910941073465300,
"author_name": "VECTORFIELDS",
"timestamp": "08/01/2022 13:37:06",
"content": "i meant if i provided 740 as input , it should output -2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003718122685071500,
"author_id": 932910941073465300,
"author_name": "VECTORFIELDS",
"timestamp": "08/01/2022 13:37:28",
"content": "and similarly if i provided 844 as input, it should output 44",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003718146949140600,
"author_id": 932910941073465300,
"author_name": "VECTORFIELDS",
"timestamp": "08/01/2022 13:37:34",
"content": "what logic to use",
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"timestamp": "08/01/2022 13:37:39",
"content": "impossible to determine",
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"timestamp": "08/01/2022 13:37:51",
"content": "there are _many_ functions out there which map 740 to -2 and 844 to 44",
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"timestamp": "08/01/2022 13:38:02",
"content": "which is why im asking for context",
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"timestamp": "08/01/2022 13:38:09",
"content": "video game it is",
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"timestamp": "08/01/2022 13:38:17",
"content": "because i think knowing the context for this will make it clear what the function's supposed to be",
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"timestamp": "08/01/2022 13:38:33",
"content": "at least you would have infinitely many polynomial functions to satisfy your requirements",
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"author_name": "VECTORFIELDS",
"timestamp": "08/01/2022 13:38:51",
"content": "like?",
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"id": 1003718576584282200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/01/2022 13:39:16",
"content": "oh no",
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"author_name": "Ann",
"timestamp": "08/01/2022 13:39:26",
"content": "things are about to get needlessly confusing",
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"author_name": "VECTORFIELDS",
"timestamp": "08/01/2022 13:40:50",
"content": "so no solution?",
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"author_name": "JellyShark",
"timestamp": "08/01/2022 13:41:39",
"content": "what you asking is that what curve would go through these 2 points",
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"content": "",
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"timestamp": "08/01/2022 13:43:06",
"content": "give us context",
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"timestamp": "08/01/2022 13:43:08",
"content": "give us context!!!",
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"id": 1003719797487452200,
"author_id": 260975264987611140,
"author_name": "gmod",
"timestamp": "08/01/2022 13:44:07",
"content": "is it a linear function??",
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"author_name": "gmod",
"timestamp": "08/01/2022 13:44:13",
"content": "like a straight line",
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"author_name": "VECTORFIELDS",
"timestamp": "08/01/2022 13:44:18",
"content": "yes",
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"author_name": "gmod",
"timestamp": "08/01/2022 13:44:38",
"content": "do you know how to find the slope",
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"author_name": "VECTORFIELDS",
"timestamp": "08/01/2022 13:44:50",
"content": "oh oh oh is that it?",
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"timestamp": "08/01/2022 13:45:05",
"content": "yes",
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"author_name": "gmod",
"timestamp": "08/01/2022 13:45:09",
"content": "well yeah then u can find the y intercept from there to find the function",
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"author_name": "gmod",
"timestamp": "08/01/2022 13:45:20",
"content": "and then you plug in whatever you need to calculate",
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"author_name": "gmod",
"timestamp": "08/01/2022 13:45:34",
"content": "what are u trying to find",
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"author_name": "VECTORFIELDS",
"timestamp": "08/01/2022 13:48:01",
"content": "Just some stupid stuff.\ni just need that output, i if were to pass 740 to that function it should give me -2 as result,\nsimilarly in case of 844 it should give 44,\nlikewise 785, it should give something between -2 and 44 i guess.",
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"author_name": "Ann",
"timestamp": "08/01/2022 13:48:14",
"content": "you still are not giving any context!",
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"id": 1003721112628244500,
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"timestamp": "08/01/2022 13:49:21",
"content": "740, 844 is screen sizes (height), there is no context",
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"author_name": "VECTORFIELDS",
"timestamp": "08/01/2022 13:49:52",
"content": "would that do?",
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"author_name": "JellyShark",
"timestamp": "08/01/2022 13:50:47",
"content": "Why would 740 become-2",
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"id": 1003721617207201800,
"author_id": 932910941073465300,
"author_name": "VECTORFIELDS",
"timestamp": "08/01/2022 13:51:21",
"content": "it is the perfect value based on screen size for an element",
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"author_id": 932910941073465300,
"author_name": "VECTORFIELDS",
"timestamp": "08/01/2022 13:51:28",
"content": "position",
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"author_id": 932910941073465300,
"author_name": "VECTORFIELDS",
"timestamp": "08/01/2022 13:51:30",
"content": "i guess",
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"id": 1003721657145372800,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/01/2022 13:51:31",
"content": "$$f\\colon \\{740,844\\}\\to \\mathbb{Z}\\colon x\\mapsto\\begin{cases} -2 &\\text{if }x=740\\\\ 44&\\text{otherwise}\\end{cases}$$",
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"author_name": "TeXit",
"timestamp": "08/01/2022 13:51:34",
"content": "**Toby**",
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"timestamp": "08/01/2022 13:53:49",
"content": "is that an if condition?",
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"author_name": "VECTORFIELDS",
"timestamp": "08/01/2022 13:55:44",
"content": "i thought proportion would do fine\n740/-2 = 844/44 = 755/?",
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"id": 1003724272184852600,
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"author_name": "Ann",
"timestamp": "08/01/2022 14:01:54",
"content": "what element",
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"author_name": "Ann",
"timestamp": "08/01/2022 14:02:11",
"content": "so you are trying to position a graphical element on the screen based on its height (and presumably also its width)?",
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"id": 1003726496776589400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 14:10:45",
"content": "@VECTORFIELDS Has your question been resolved?",
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"timestamp": "08/01/2022 14:13:30",
"content": "yes mam.",
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"author_name": "VECTORFIELDS",
"timestamp": "08/01/2022 14:16:30",
"content": "so is there anything in mathematics that i can use of?\nenter input: 740 output: -2\nenter input: 844 output: 44\nbased on these values, is it possible to determine value of 755?",
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"author_name": "VECTORFIELDS",
"timestamp": "08/01/2022 14:17:05",
"content": "and if possible, the output for 955, 640 ?",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 14:25:45",
"content": "Channel closed",
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}
] |
help-9
|
d7d7110726614916977ec0f79af7c7ac
|
197,575 |
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{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 14:26:45",
"content": "Available help channel!",
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},
{
"id": 1003732698067644500,
"author_id": 878798685264285700,
"author_name": "JSwift",
"timestamp": "08/01/2022 14:35:23",
"content": "I figured out (a) was false and I know b is true but I have no idea how to prove",
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"timestamp": "08/01/2022 14:35:24",
"content": "Pinned a message.",
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"id": 1003733384335466500,
"author_id": 1000342473601728500,
"author_name": "Catematician",
"timestamp": "08/01/2022 14:38:07",
"content": "Just pick an integer and find a number you can plug that gives that one.",
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},
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"id": 1003733418066051100,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "08/01/2022 14:38:15",
"content": "are u sure g is onto?",
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"id": 1003733473049190400,
"author_id": 1000342473601728500,
"author_name": "Catematician",
"timestamp": "08/01/2022 14:38:28",
"content": "It is.",
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"id": 1003733616070758400,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "08/01/2022 14:39:02",
"content": "its floor function right?",
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"id": 1003733653953724500,
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"timestamp": "08/01/2022 14:39:11",
"content": "Yeah.",
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{
"id": 1003733817955196900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/01/2022 14:39:50",
"content": "find the inverse",
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},
{
"id": 1003733893381374000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/01/2022 14:40:08",
"content": "set `n` to be an arbitrary integer, then find `x` such that `g(x) = n`",
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"id": 1003734239210127500,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "08/01/2022 14:41:31",
"content": "i have a doubt how can it be an onto function? ( doesnt gif function gives only integral values? )",
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"id": 1003734294985986000,
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"author_name": "Catematician",
"timestamp": "08/01/2022 14:41:44",
"content": "Yes, it's onto Z.",
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"author_name": "Lvn",
"timestamp": "08/01/2022 14:41:54",
"content": "ohh",
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"author_name": "Lvn",
"timestamp": "08/01/2022 14:42:10",
"content": "my bad",
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"author_id": 878798685264285700,
"author_name": "JSwift",
"timestamp": "08/01/2022 14:46:38",
"content": "How do you deal the floor function or do you leave it?",
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"id": 1003735650744422500,
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"timestamp": "08/01/2022 14:47:07",
"content": "It behaves nicely for just integers.",
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"timestamp": "08/01/2022 14:47:43",
"content": "Actually it does for all real numbers, but after plugging in some arguements you see the pattern.",
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"id": 1003735868638507000,
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"timestamp": "08/01/2022 14:47:59",
"content": "you only need to find one x. doesn't matter if there are more.",
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"timestamp": "08/01/2022 14:48:13",
"content": "Ohhhhh",
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"timestamp": "08/01/2022 14:48:24",
"content": "Okay I can do that",
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"id": 1003736405794619400,
"author_id": 878798685264285700,
"author_name": "JSwift",
"timestamp": "08/01/2022 14:50:07",
"content": "So it would be floor of $(2y+1-1)/2$",
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"id": 1003736434076811300,
"author_id": 878798685264285700,
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"timestamp": "08/01/2022 14:50:14",
"content": "is equal to y",
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"id": 1003736537948762100,
"author_id": 878798685264285700,
"author_name": "JSwift",
"timestamp": "08/01/2022 14:50:39",
"content": "That’s the proof?",
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"id": 1003736553631268900,
"author_id": 878798685264285700,
"author_name": "JSwift",
"timestamp": "08/01/2022 14:50:42",
"content": "That’s all you need",
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{
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"author_name": "TeXit",
"timestamp": "08/01/2022 14:51:57",
"content": "**JSwift**",
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"id": 1003736949875548200,
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"timestamp": "08/01/2022 14:52:17",
"content": "looks good",
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"timestamp": "08/01/2022 14:52:48",
"content": "double check by plugging it into g",
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"timestamp": "08/01/2022 14:55:45",
"content": "Okie thank you thank you",
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help-9
|
a7555715476c4c85a5184f636eb5b5dc
|
197,576 |
[
{
"id": 1003738137949900900,
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"timestamp": "08/01/2022 14:57:00",
"content": "Available help channel!",
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},
{
"id": 1003741165868298200,
"author_id": 429017707208245250,
"author_name": "Meragone",
"timestamp": "08/01/2022 15:09:02",
"content": "There are 5 men and 3 women. How many possible arrangements in a row are there under the condition that two women can't be next to each other? I'm wondering how to find the answer, I thought of substracting wrong arrangements from 8! but I wouldn't even know how to find those",
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"timestamp": "08/01/2022 15:16:26",
"content": "not completely sure if this works, but it seems alright in my head: if you want 2 women next to each other, then you could group two women together (there are 3C2*2! ways to do this), and consider 6 people (5m, 1w) and 1 group (consisting of the pair of w) ie 7!. Then add back the overcount of 3 women (3! ways) next to each other (by considering the way to organise 5 men and 1 group of w= 6!)",
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"author_name": "frownyfrog",
"timestamp": "08/01/2022 15:19:32",
"content": "Essentially if you take the men they look like this .M.M.M.M.M.",
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"timestamp": "08/01/2022 15:19:50",
"content": "Dots are where the women can go",
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"timestamp": "08/01/2022 15:21:50",
"content": "Oh that's not bad",
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"timestamp": "08/01/2022 15:23:42",
"content": "(i get 14400 with this which seems consistent with frog's way)",
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"timestamp": "08/01/2022 15:23:57",
"content": "(but frog's way is way simpler lmao)",
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"timestamp": "08/01/2022 15:24:14",
"content": "I wouldn't know how to use it though",
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"author_name": "Meragone",
"timestamp": "08/01/2022 15:31:45",
"content": "Like 8! - (6•7! - 6•6!) ?",
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"timestamp": "08/01/2022 15:32:54",
"content": "6c3 defines the \"shape\" then 3!×5! choses the \"identities\"",
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"timestamp": "08/01/2022 15:36:32",
"content": "Alright, thank you both so very much, I made sense of it",
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"content": ".close",
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] |
help-9
|
9aec2e4ac0b64436ac933a4f626755c5
|
197,577 |
[
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"content": "Available help channel!",
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"id": 1003753785581129700,
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"timestamp": "08/01/2022 15:59:11",
"content": "hey",
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"id": 1003753939147165800,
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"author_name": "dark",
"timestamp": "08/01/2022 15:59:47",
"content": "(1) The solution set of the equation 3x − 7 = 2 for x ∈ R is {3}.",
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"id": 1003754031925186700,
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"timestamp": "08/01/2022 16:00:10",
"content": "(2) 3 is a solution of the equation 3x − 7 = 2 for x ∈ R.",
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"id": 1003754105426157700,
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"timestamp": "08/01/2022 16:00:27",
"content": "(3) At most 3 is a solution of the equation 3x − 7 = 2 for x ∈ R.",
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"id": 1003754517592027100,
"author_id": 463266619049902100,
"author_name": "dark",
"timestamp": "08/01/2022 16:02:05",
"content": "the question is to say which statements do a, b, and c justify",
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"id": 1003754597753573400,
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"author_name": "dark",
"timestamp": "08/01/2022 16:02:24",
"content": "I am kinda stuck here",
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"id": 1003754892965449900,
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"author_name": "dark",
"timestamp": "08/01/2022 16:03:35",
"content": "starting with (a), my thought process was that (a) justifies (1), since when 3x-7=2 ⇒ x=3 it should mean that 3 is the only solution for the equation and thus the set {3}",
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"id": 1003754950951702700,
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"timestamp": "08/01/2022 16:03:49",
"content": "where did i go wrong with my thinking?",
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"timestamp": "08/01/2022 16:18:49",
"content": "@dark Has your question been resolved?",
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"author_name": "smermla9",
"timestamp": "08/01/2022 16:26:28",
"content": "idk but i think b resumes all the statements",
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"author_name": "dark",
"timestamp": "08/01/2022 16:26:42",
"content": "it does, i have the solution, i want the intuitive explanation",
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"id": 1003760980003655700,
"author_id": 769724515089121300,
"author_name": "smermla9",
"timestamp": "08/01/2022 16:27:46",
"content": "cuz <=> can only be used when we can proove both => and <=",
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"id": 1003761533333033000,
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"author_name": "smermla9",
"timestamp": "08/01/2022 16:29:58",
"content": "<=> means that the last statement can only be true if the first one is true, and also the first statement exists because there is another statement prooving it which is the last one which is unique",
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"author_name": "smermla9",
"timestamp": "08/01/2022 16:33:29",
"content": "did u get it?",
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"id": 1003767743402750000,
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"author_name": "dark",
"timestamp": "08/01/2022 16:54:39",
"content": "yeah micheal explained it in , early uni proofs and logic",
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"timestamp": "08/01/2022 16:54:44",
"content": ".close",
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"content": "Channel closed",
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] |
help-9
|
fb8dd413881b412f8cc814ce297a7e5a
|
197,578 |
[
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"timestamp": "08/01/2022 16:55:45",
"content": "Available help channel!",
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},
{
"id": 1003768595463012500,
"author_id": 896245007533629400,
"author_name": "studyinglatte",
"timestamp": "08/01/2022 16:58:02",
"content": "there's a theorem about sets that the empty set is unique. I don't understand why that theorem exists. Like if it wasn't proven, what will we not know about the empty? that there could be multiple empty sets?",
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"content": "Pinned a message.",
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"author_name": "Gurkenglas",
"timestamp": "08/01/2022 16:59:17",
"content": "if you saw it in a lecture, you could Ctrl-F the script for any references to it later",
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"timestamp": "08/01/2022 17:00:14",
"content": "i only saw it on proofwiki",
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"author_name": "jswatj",
"timestamp": "08/01/2022 17:00:19",
"content": "its unique by definition i believe?",
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"timestamp": "08/01/2022 17:00:32",
"content": "https://proofwiki.org/wiki/Empty_Set_is_Unique",
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"timestamp": "08/01/2022 17:00:37",
"content": "if it's unique by definition then a theorem wouldnt have existed",
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"id": 1003769263317844100,
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"author_name": "dark",
"timestamp": "08/01/2022 17:00:41",
"content": "to prove it",
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"id": 1003769285031776300,
"author_id": 896245007533629400,
"author_name": "studyinglatte",
"timestamp": "08/01/2022 17:00:46",
"content": "like there's a whole article about it so it's kinda weird to me",
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"author_name": "Gurkenglas",
"timestamp": "08/01/2022 17:00:59",
"content": "suppose we don't define what it means for two sets to be equal",
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"id": 1003769342556647400,
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"author_name": "dark",
"timestamp": "08/01/2022 17:01:00",
"content": "the idea of proving the obvious is a huge topic",
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"author_name": "Gurkenglas",
"timestamp": "08/01/2022 17:01:04",
"content": "then we could still say:",
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"author_name": "Gurkenglas",
"timestamp": "08/01/2022 17:01:16",
"content": "for any two empty sets, there is a unique bijection between them",
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"id": 1003769463394553900,
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"author_name": "iCaird",
"timestamp": "08/01/2022 17:01:29",
"content": "one reason we might want to know that: any set that is empty is a subset of a general set, without knowing there is only one empty set, a finite set might have infinite subsets which doesnt seems to make much sense!",
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"timestamp": "08/01/2022 17:01:31",
"content": "and that's a notion that generalizes way further anyway, so good enough",
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"author_name": "studyinglatte",
"timestamp": "08/01/2022 17:03:48",
"content": "like if we don't define what it means for two sets, then unique sets might not exist?",
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"timestamp": "08/01/2022 17:04:30",
"content": "eh?",
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"author_name": "Gurkenglas",
"timestamp": "08/01/2022 17:04:52",
"content": "here's a list of places proofwiki uses Empty_Set_Is_Unique https://proofwiki.org/wiki/Special:WhatLinksHere/Empty_Set_is_Unique",
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"timestamp": "08/01/2022 17:04:52",
"content": "what do you mean by a unique bijection?",
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"timestamp": "08/01/2022 17:05:28",
"content": "do you know what a bijection is? there's only one of them from any empty set to any empty set.",
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"timestamp": "08/01/2022 17:05:54",
"content": "a one-to-one mapping right?",
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"timestamp": "08/01/2022 17:05:57",
"content": "yep",
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"author_name": "studyinglatte",
"timestamp": "08/01/2022 17:06:25",
"content": "so if two sets are empty, then they are the same thing?",
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"author_name": "jswatj",
"timestamp": "08/01/2022 17:06:35",
"content": "thats true, it follows from extensionality my mistake",
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"timestamp": "08/01/2022 17:06:38",
"content": "like is that what it means for empty sets to be unique",
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"timestamp": "08/01/2022 17:07:11",
"content": "no, what it means for there to be one empty set is: any two empty sets are *the same*",
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"timestamp": "08/01/2022 17:07:38",
"content": "and the definition that proofwiki uses for that is: one is a subset of the other, and the other is a subset of the one",
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"timestamp": "08/01/2022 17:08:29",
"content": "for set equality?",
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"timestamp": "08/01/2022 17:09:35",
"content": "a definition you might like more is: a set is about what's inside. two sets are equal if they contain the same elements. in the end they are equivalent definitions.",
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"timestamp": "08/01/2022 17:09:45",
"content": "it just confuses me why it needs to be proven that the empty set is unique because then do i need to prove that every other non-empty set is also unique?",
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"author_name": "giannis_money",
"timestamp": "08/01/2022 17:11:31",
"content": "this is how proofwiki defines an empty set",
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"timestamp": "08/01/2022 17:11:49",
"content": "(really at this stage they should be saying an not the)",
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"timestamp": "08/01/2022 17:12:17",
"content": "or equivalently phi is empty if",
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"timestamp": "08/01/2022 17:12:55",
"content": "so it actually requires proof to show that 2 sets that satisfy these properties must be the same",
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"timestamp": "08/01/2022 17:14:52",
"content": "why doesn't it require proof to show that 2 power sets of a given set S are the same?",
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"author_name": "studyinglatte",
"timestamp": "08/01/2022 17:15:06",
"content": "so we define phi as the set of all x such that x is not in phi? then we say that phi is called the empty set?",
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"timestamp": "08/01/2022 17:16:02",
"content": "no. phi is empty if for all x (from whatever set, x can be anything), x is not in phi",
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"timestamp": "08/01/2022 17:16:48",
"content": "i see, so this is how we define an empty set?",
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"timestamp": "08/01/2022 17:16:53",
"content": "well the power set has a unique definition",
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"timestamp": "08/01/2022 17:17:10",
"content": "as in, you know explicitly what it is",
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"author_name": "Gurkenglas",
"timestamp": "08/01/2022 17:17:21",
"content": "what makes a definition unique",
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"author_name": "giannis_money",
"timestamp": "08/01/2022 17:17:57",
"content": "i wasn't sure how to word it tbh, maybe that wasn't the best use of language",
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"timestamp": "08/01/2022 17:18:12",
"content": "yea",
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"author_name": "Gurkenglas",
"timestamp": "08/01/2022 17:18:28",
"content": "what makes our knowledge about power sets more explicit than our knowledge about empty sets",
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"timestamp": "08/01/2022 17:19:26",
"content": "i mean it kinda make sense to prove that two power sets of a given set S must be equal",
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"timestamp": "08/01/2022 17:19:50",
"content": "really it depends on what definitions ur using (they're all equivalent in the end)",
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"timestamp": "08/01/2022 17:20:06",
"content": "but maybe it can be proven just from definitions",
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"timestamp": "08/01/2022 17:20:22",
"content": "it could hardly be proven from anything else",
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"author_name": "giannis_money",
"timestamp": "08/01/2022 17:20:30",
"content": "the definition for empty set which i would use is like \"a set is _empty_ if it satisfies the following properties\"",
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"id": 1003774321946267800,
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"author_name": "Gurkenglas",
"timestamp": "08/01/2022 17:20:47",
"content": "\"a set is a power set of S if it satisfies...\"",
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"author_name": "giannis_money",
"timestamp": "08/01/2022 17:21:14",
"content": "the definition of a power set is like the power set of a set A is ... this where it's stated explicitly",
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"author_name": "Gurkenglas",
"timestamp": "08/01/2022 17:21:23",
"content": "the empty set is {}",
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"author_name": "giannis_money",
"timestamp": "08/01/2022 17:22:01",
"content": "sure ig that works lol, no need for proving uniqueness then",
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"author_id": 896245007533629400,
"author_name": "studyinglatte",
"timestamp": "08/01/2022 17:24:00",
"content": "just confirming, can i define the power set of a set A like such?",
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"author_name": "giannis_money",
"timestamp": "08/01/2022 17:24:41",
"content": "yea but i don't think you need the forall symbol",
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"author_name": "studyinglatte",
"timestamp": "08/01/2022 17:26:23",
"content": "really? just X would mean for all X that's a subset of A?",
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"author_name": "giannis_money",
"timestamp": "08/01/2022 17:26:44",
"content": "yes",
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"id": 1003775839009263900,
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"author_name": "studyinglatte",
"timestamp": "08/01/2022 17:26:49",
"content": "cool",
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"author_id": 896245007533629400,
"author_name": "studyinglatte",
"timestamp": "08/01/2022 17:26:50",
"content": "thanks guys",
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"author_id": 896245007533629400,
"author_name": "studyinglatte",
"timestamp": "08/01/2022 17:26:56",
"content": ".close",
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},
{
"id": 1003775871326372100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 17:26:56",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
21f3609ba7784d61b53d51495a7ecab9
|
197,579 |
[
{
"id": 1003785316102066300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 18:04:28",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1003786692521627800,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:09:56",
"content": "Hello, could someone explain to me how one would reach x = 4? also would the base of the triangle = 9.38? thank you.",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1003786691582120096/chrome_f4UIBgLj6j.png",
"fileName": "chrome_f4UIBgLj6j.png",
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 18:09:57",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1003787204054761500,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:11:58",
"content": "what do you mean by 'reach x=4'?",
"attachments": [],
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{
"id": 1003787644465074200,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:13:43",
"content": "the P coordinate, how do you solve for x?",
"attachments": [],
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},
{
"id": 1003787706150690800,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:13:58",
"content": "alright so do you know the Pythagorean theorem?",
"attachments": [],
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},
{
"id": 1003787747368116400,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:14:08",
"content": "a^2+b^2=c^2",
"attachments": [],
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},
{
"id": 1003787755848994800,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:14:10",
"content": "Yes",
"attachments": [],
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},
{
"id": 1003787905245904900,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:14:46",
"content": "The only thing is this problem doesn't indicate a right triangle other than the 'a pythag', which I'm assuming means to use the Pythagorean theorem",
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},
{
"id": 1003788024909414400,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:15:14",
"content": "Ok so can you define a, b, and c for me in terms of this problem?",
"attachments": [],
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},
{
"id": 1003788268913037400,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:16:12",
"content": "would c be the base, b the hypotenuse and a the 6?",
"attachments": [],
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},
{
"id": 1003788373930029200,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:16:37",
"content": "I can't understand this question it does not make sense to me, does it make sense to you?",
"attachments": [],
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},
{
"id": 1003788464434720800,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:16:59",
"content": "the hypotenuse is always c and it is always the longest side",
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},
{
"id": 1003788476736618500,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:17:02",
"content": "it is in the trigonometry section of a paper",
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},
{
"id": 1003788499281006600,
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"author_name": "JWCfive",
"timestamp": "08/01/2022 18:17:07",
"content": "a and b are legs of the triangle",
"attachments": [],
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},
{
"id": 1003788554629025900,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:17:20",
"content": "alright I did not know that",
"attachments": [],
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},
{
"id": 1003788575109816400,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:17:25",
"content": "I thought c was the unknown",
"attachments": [],
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},
{
"id": 1003788758086332500,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:18:09",
"content": "so a^2 + 36 = 2 root 13?",
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},
{
"id": 1003788885882572900,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:18:39",
"content": "a, b, or c can be unknown, it depends on the problem",
"attachments": [],
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},
{
"id": 1003788905373520000,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:18:44",
"content": "let me give you an example for each",
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},
{
"id": 1003789424355717200,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:20:48",
"content": "A problem asking for a or b: \n```\nQuestion: A right triangle has a hypotenuse of length 5 and a leg of length 4. What is the length of the other leg?\nSolution: hypotenuse = c = 5, leg1 = a = 4, leg2 = b = x\n a^2 + b^2 = c^2\n 4^2 + x^2 = 5^2\n 16 + x^2 = 25\n x^2 = 9\n x = 3\n```",
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},
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"id": 1003789734012784800,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:22:02",
"content": "ok I see",
"attachments": [],
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},
{
"id": 1003789762366275700,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:22:08",
"content": "A problem asking for c:\n```\nQuestion: A right triangle has a leg of length 5 and a leg of length 12. What is the length of the hypotenuse?\nSolution: leg1 = a = 5, leg2 = b = 12, hypotenuse = c = ?\n a^2 + b^2 = c^2\n 5^2 + 12^2 = c^2\n 25 + 144 = c^2\n 169 = c^2\n 13 = c```",
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},
{
"id": 1003789839319179300,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:22:27",
"content": "But what is the original problem askign for, the one that you sent?",
"attachments": [],
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},
{
"id": 1003789985490669700,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:23:02",
"content": "the base of the triangle",
"attachments": [],
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},
{
"id": 1003790018629873700,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:23:09",
"content": "Ok and what did you try?",
"attachments": [],
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},
{
"id": 1003790087441629300,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:23:26",
"content": "52+36=c^2",
"attachments": [],
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},
{
"id": 1003790107947577300,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:23:31",
"content": "9.3",
"attachments": [],
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},
{
"id": 1003790139346137100,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:23:38",
"content": "Ahh so you see what you did wrong?",
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},
{
"id": 1003790155385151600,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:23:42",
"content": "yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003790169289265300,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:23:45",
"content": "hypotenuse is not c",
"attachments": [],
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},
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"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:23:48",
"content": "How would you solve it correctly?",
"attachments": [],
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},
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"id": 1003790352605528200,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:24:29",
"content": "a^2+6^2=2 root 13?",
"attachments": [],
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},
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"id": 1003790440274870400,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:24:50",
"content": "yep",
"attachments": [],
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},
{
"id": 1003790489855721600,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:25:02",
"content": "a^2 + 36 = 7.21",
"attachments": [],
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},
{
"id": 1003790491218870300,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:25:02",
"content": "Does the theta need to be addressed in this problem?",
"attachments": [],
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},
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"id": 1003790537456898000,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:25:13",
"content": "Wait sorry I was wrong",
"attachments": [],
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},
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"id": 1003790553332318300,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:25:17",
"content": "You forgot to square 2 root 13",
"attachments": [],
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},
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"id": 1003790595560587300,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:25:27",
"content": "so (2sqrt(13))^2 = 4*13 = 52",
"attachments": [],
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},
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"id": 1003790625424027600,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:25:34",
"content": "so you have a^2 + 36 = 52",
"attachments": [],
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},
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"id": 1003790646760444000,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:25:39",
"content": "and a^2 = 16",
"attachments": [],
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},
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"id": 1003790659183968300,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:25:42",
"content": "and finally a = 4",
"attachments": [],
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},
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"id": 1003790696978862200,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:25:51",
"content": "you are a genius",
"attachments": [],
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},
{
"id": 1003790821566468200,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:26:21",
"content": "so the correct formula is a^2 + 6^2 = 2 root 13 ^2",
"attachments": [],
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},
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"id": 1003790851023065200,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:26:28",
"content": "Yes!",
"attachments": [],
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},
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"id": 1003790856437891100,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:26:29",
"content": "Good job!",
"attachments": [],
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},
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"id": 1003790926176604300,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:26:46",
"content": "thanks a lot brother, I am writing tomorrow and you saved me a lot of hassle",
"attachments": [],
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},
{
"id": 1003790934414196900,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:26:48",
"content": "Haha thanks but I don't know about that one, I'm just glad I could help out",
"attachments": [],
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"id": 1003790948439949400,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:26:51",
"content": "also wait",
"attachments": [],
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},
{
"id": 1003790959642955800,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:26:54",
"content": "Of course",
"attachments": [],
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},
{
"id": 1003791037489225900,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:27:12",
"content": "how does the base of the triangle (4) equal the x coordinate of point P?",
"attachments": [],
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},
{
"id": 1003791351160242300,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:28:27",
"content": "Okay so the P(x ; 6) means you are stepping up 6 and over x. Now that we know the x is 4, we know we are stepping up 6 and over 4",
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"id": 1003791461936013300,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:28:54",
"content": "I seeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003791467820625900,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:28:55",
"content": "ohhhhhhhhhhhhhhh",
"attachments": [],
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},
{
"id": 1003791476167290900,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:28:57",
"content": "makes sense",
"attachments": [],
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},
{
"id": 1003791507481952400,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:29:04",
"content": "you are a genius my friend",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003791646904832100,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:29:38",
"content": "thanks for everything man, wish you greatness and happiness 💪 🤝",
"attachments": [],
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},
{
"id": 1003791862009692300,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:30:29",
"content": "Likewise!",
"attachments": [],
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},
{
"id": 1003791878719815800,
"author_id": 693618136980914200,
"author_name": "JWCfive",
"timestamp": "08/01/2022 18:30:33",
"content": "Good luck on your writing",
"attachments": [],
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},
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"id": 1003791925230440400,
"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:30:44",
"content": "🤝 thanks man, cheers!",
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"author_id": 635155160313757700,
"author_name": "Monarch",
"timestamp": "08/01/2022 18:30:46",
"content": ".close",
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},
{
"id": 1003791937083543700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 18:30:47",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
589649b85ea74c3daa6ceff279d97921
|
197,580 |
[
{
"id": 1003797582155350100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 18:53:13",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003799889223893100,
"author_id": 338015275427299300,
"author_name": "Ari S",
"timestamp": "08/01/2022 19:02:23",
"content": "",
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"id": 1003799890704470000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 19:02:23",
"content": "Pinned a message.",
"attachments": [],
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"reference": {
"messageId": 1003799889223893100,
"channelId": 486844875632017400,
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{
"id": 1003799947226918900,
"author_id": 338015275427299300,
"author_name": "Ari S",
"timestamp": "08/01/2022 19:02:37",
"content": "I need to solve this problem by hand and not use a clculator",
"attachments": [],
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"reference": null
},
{
"id": 1003800238546497700,
"author_id": 88345892150583300,
"author_name": "WINUS",
"timestamp": "08/01/2022 19:03:46",
"content": "is there any specific part about the problem you get stuck on?",
"attachments": [],
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},
{
"id": 1003800461977067600,
"author_id": 338015275427299300,
"author_name": "Ari S",
"timestamp": "08/01/2022 19:04:39",
"content": "Idk how to do derivatives so I really don't understand. The problem is my teacher hasn't sent us our online lecture yet and my hw is due soon. So idk how to do these yet.",
"attachments": [],
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"reference": null
},
{
"id": 1003800694920319000,
"author_id": 88345892150583300,
"author_name": "WINUS",
"timestamp": "08/01/2022 19:05:35",
"content": "do you know how to do \"simple derivatives\" like the derivative of x^3?",
"attachments": [],
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},
{
"id": 1003800831700762800,
"author_id": 338015275427299300,
"author_name": "Ari S",
"timestamp": "08/01/2022 19:06:07",
"content": "no",
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},
{
"id": 1003801044750450700,
"author_id": 88345892150583300,
"author_name": "WINUS",
"timestamp": "08/01/2022 19:06:58",
"content": "ohhh ehhh okay so you are not familiar with the concept of derivatives?",
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},
{
"id": 1003801074190254200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/01/2022 19:07:05",
"content": "My suggestion, watch some Khan Academy",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003801127374041100,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/01/2022 19:07:18",
"content": "Since apparently you don't have the knowledge with derivatives",
"attachments": [],
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},
{
"id": 1003801274778656800,
"author_id": 338015275427299300,
"author_name": "Ari S",
"timestamp": "08/01/2022 19:07:53",
"content": "dang alr",
"attachments": [],
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},
{
"id": 1003801321046032500,
"author_id": 338015275427299300,
"author_name": "Ari S",
"timestamp": "08/01/2022 19:08:04",
"content": "i mean i thought thats why I asked for help",
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},
{
"id": 1003801442915717100,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/01/2022 19:08:33",
"content": "That's because that problem involves a basic knowledge of derivative rules",
"attachments": [],
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},
{
"id": 1003801511480008700,
"author_id": 88345892150583300,
"author_name": "WINUS",
"timestamp": "08/01/2022 19:08:50",
"content": "yeah sadly its a big topic, (makes sense when you grasp it but can feel daunting in the beginning\nso it can be hard to communicate in chat",
"attachments": [],
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},
{
"id": 1003801512377602000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/01/2022 19:08:50",
"content": "And it helps if you have that knowledge beforehand",
"attachments": [],
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},
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"id": 1003801664630837200,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/01/2022 19:09:26",
"content": "So that way you know the terminology, people are using and not get confused",
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},
{
"id": 1003801702534746200,
"author_id": 338015275427299300,
"author_name": "Ari S",
"timestamp": "08/01/2022 19:09:35",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003801704044712100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 19:09:35",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
934073c1a6fe430f882b29e0c0af9a02
|
197,581 |
[
{
"id": 1003801710856257500,
"author_id": 338015275427299300,
"author_name": "Ari S",
"timestamp": "08/01/2022 19:09:37",
"content": "fine",
"attachments": [],
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},
{
"id": 1003801732884729900,
"author_id": 338015275427299300,
"author_name": "Ari S",
"timestamp": "08/01/2022 19:09:42",
"content": "geez cableez guys",
"attachments": [],
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},
{
"id": 1003801748105875600,
"author_id": 338015275427299300,
"author_name": "Ari S",
"timestamp": "08/01/2022 19:09:46",
"content": ".close",
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},
{
"id": 1003801832289747000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/01/2022 19:10:06",
"content": "I mean, do you know the term power rule and how to apply it?",
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},
{
"id": 1003801905216114800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/01/2022 19:10:23",
"content": "Do you know definition of the derivative?",
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},
{
"id": 1003840511087484900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 21:43:48",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003842685116874800,
"author_id": 669187970473132000,
"author_name": "Freezozo",
"timestamp": "08/01/2022 21:52:26",
"content": "me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003842687088201900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 21:52:27",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1003842685116874800,
"channelId": 486844875632017400,
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{
"id": 1003842844143919100,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "08/01/2022 21:53:04",
"content": "do you have a question",
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},
{
"id": 1003842931377045600,
"author_id": 669187970473132000,
"author_name": "Freezozo",
"timestamp": "08/01/2022 21:53:25",
"content": "Yeah",
"attachments": [],
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},
{
"id": 1003842939614666800,
"author_id": 669187970473132000,
"author_name": "Freezozo",
"timestamp": "08/01/2022 21:53:27",
"content": "so",
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},
{
"id": 1003842988960661500,
"author_id": 669187970473132000,
"author_name": "Freezozo",
"timestamp": "08/01/2022 21:53:39",
"content": "i didnt know how to claim help",
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},
{
"id": 1003843018228515000,
"author_id": 669187970473132000,
"author_name": "Freezozo",
"timestamp": "08/01/2022 21:53:46",
"content": "and i thought i had to something special",
"attachments": [],
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},
{
"id": 1003843032346546200,
"author_id": 669187970473132000,
"author_name": "Freezozo",
"timestamp": "08/01/2022 21:53:49",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003843034154287100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 21:53:49",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
e1018e0c07994919a3bccd3fba9d4710
|
197,582 |
[
{
"id": 959472761418416100,
"author_id": 174893623769301000,
"author_name": "SporkleBM || hibernating",
"timestamp": "04/01/2022 11:22:12",
"content": "To help you a little more, \n\nA is at (9,4)\nB is at (1,1) \nC is at (-4,9) \nOrigin is at (0,0)",
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},
{
"id": 959488973980434400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 12:26:37",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959489274133229700,
"author_id": 747632494265893100,
"author_name": "Silo_StarNight",
"timestamp": "04/01/2022 12:27:49",
"content": "",
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"id": 959489277719347200,
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"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 12:27:50",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 959489274133229700,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 959489481067622400,
"author_id": 553412283561148400,
"author_name": "Elise",
"timestamp": "04/01/2022 12:28:38",
"content": "have you tried anything?",
"attachments": [],
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"reference": null
},
{
"id": 959489542723895300,
"author_id": 747632494265893100,
"author_name": "Silo_StarNight",
"timestamp": "04/01/2022 12:28:53",
"content": "to reduce the fraction",
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},
{
"id": 959489600731091000,
"author_id": 747632494265893100,
"author_name": "Silo_StarNight",
"timestamp": "04/01/2022 12:29:07",
"content": "but it did not work",
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"reference": null
},
{
"id": 959489632611995800,
"author_id": 553412283561148400,
"author_name": "Elise",
"timestamp": "04/01/2022 12:29:14",
"content": "I think that will make it a little trickier",
"attachments": [],
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"reference": null
},
{
"id": 959489749700198400,
"author_id": 553412283561148400,
"author_name": "Elise",
"timestamp": "04/01/2022 12:29:42",
"content": "for this problem, u can take the cube root of the two numbers individually",
"attachments": [],
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},
{
"id": 959489915840786600,
"author_id": 553412283561148400,
"author_name": "Elise",
"timestamp": "04/01/2022 12:30:22",
"content": "or since its multiple choice, u could just cube the answers and see which gives you the fraction in the question",
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},
{
"id": 959489975844499600,
"author_id": 747632494265893100,
"author_name": "Silo_StarNight",
"timestamp": "04/01/2022 12:30:36",
"content": "ok thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959489994483970200,
"author_id": 391270706186420200,
"author_name": "illuminator3",
"timestamp": "04/01/2022 12:30:41",
"content": "$\\sqrt{\\frac{a}{b}} = \\frac{\\sqrt{a}}{\\sqrt{b}}$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959490007435980800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/01/2022 12:30:44",
"content": "**illuminator3**",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/959490007591157770/391270706186420224.png",
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},
{
"id": 959490223350353900,
"author_id": 747632494265893100,
"author_name": "Silo_StarNight",
"timestamp": "04/01/2022 12:31:35",
"content": ".close",
"attachments": [],
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"reference": null
},
{
"id": 959490225330094100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 12:31:36",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
7cff9216a3e440de9577b1e74a7d7e8e
|
197,583 |
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{
"id": 1003843084301377500,
"author_id": 669187970473132000,
"author_name": "Freezozo",
"timestamp": "08/01/2022 21:54:01",
"content": "how do i close this",
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},
{
"id": 1003843108619952300,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "08/01/2022 21:54:07",
"content": "you already did lol",
"attachments": [],
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},
{
"id": 1003843119177007100,
"author_id": 252980043511234560,
"author_name": "Kihei",
"timestamp": "08/01/2022 21:54:10",
"content": "wait a bit",
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},
{
"id": 1003843125799833700,
"author_id": 669187970473132000,
"author_name": "Freezozo",
"timestamp": "08/01/2022 21:54:11",
"content": "oh",
"attachments": [],
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},
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"id": 1003843136092655700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/01/2022 21:54:14",
"content": "can't you read the bot messages",
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},
{
"id": 1003843162856505500,
"author_id": 669187970473132000,
"author_name": "Freezozo",
"timestamp": "08/01/2022 21:54:20",
"content": "damn",
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},
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"id": 1003845211165823100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 22:02:28",
"content": "Available help channel!",
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},
{
"id": 1003848410257948700,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:15:11",
"content": "12(x+y)^3/9(x+y) but it must be written in the form C A^p B^q I got it down to 4(x+y)^2/3 but now I'm stuck. How do I make it that form?",
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},
{
"id": 1003848412577407100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 22:15:12",
"content": "Pinned a message.",
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}
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"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:15:38",
"content": "oh, and also, only p and q and c are numbers",
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},
{
"id": 1003848544995770500,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:15:43",
"content": "a and b are the variables",
"attachments": [],
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},
{
"id": 1003852232460079100,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "08/01/2022 22:30:22",
"content": "$12(x+y)^{\\frac{3}{9}}(x+y)$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003852241821761700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/01/2022 22:30:25",
"content": "**MarveI**",
"attachments": [
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"id": 1003852241985351800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "08/01/2022 22:30:25",
"content": "is this the question?",
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},
{
"id": 1003852349355348000,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:30:50",
"content": "no",
"attachments": [],
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},
{
"id": 1003852458138812500,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:31:16",
"content": "its (12(x+y)^3)/(9(x+y))",
"attachments": [],
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},
{
"id": 1003852500358672500,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "08/01/2022 22:31:26",
"content": "ohh",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003852629346103300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/01/2022 22:31:57",
"content": "**MarveI**",
"attachments": [
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"id": 1003852651882090500,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:32:02",
"content": "yep",
"attachments": [],
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},
{
"id": 1003852712540110800,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:32:17",
"content": "I got it down to (4(x+y)^2)/3",
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},
{
"id": 1003852734077866000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "08/01/2022 22:32:22",
"content": "oh ok",
"attachments": [],
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},
{
"id": 1003852830437802000,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:32:45",
"content": "somehow it needs to be in the form (c) (a^p) (b^q)",
"attachments": [],
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},
{
"id": 1003852862335492200,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:32:53",
"content": "where c p and q are numbers",
"attachments": [],
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},
{
"id": 1003853511123013600,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:35:27",
"content": "I didn't make a mistake with typing it, it is x + y and not x - y so I don't know how I'm supposed to make them individual single variables or how I can get the 3 out of the denominator",
"attachments": [],
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},
{
"id": 1003853511311769700,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "08/01/2022 22:35:27",
"content": "ok idk",
"attachments": [],
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},
{
"id": 1003853573374890000,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:35:42",
"content": "can I ping helpers?",
"attachments": [],
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},
{
"id": 1003853587945898000,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "08/01/2022 22:35:46",
"content": "yeah",
"attachments": [],
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},
{
"id": 1003853620137181300,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:35:53",
"content": "@Helpers",
"attachments": [],
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"reference": null
},
{
"id": 1003853652114538500,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:36:01",
"content": "Yes?",
"attachments": [],
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},
{
"id": 1003853734687801500,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:36:21",
"content": "Hi, I'm having trouble with this question",
"attachments": [],
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},
{
"id": 1003853923184021500,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:37:05",
"content": "(12(x+y)^3)/(9(x+y)) in the form of C A^p B^q where c p and q are numbers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003853982961258500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/01/2022 22:37:20",
"content": "**MarveI**",
"attachments": [
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{
"id": 1003854003244900400,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:37:25",
"content": "thats the one",
"attachments": [],
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"reference": null
},
{
"id": 1003854089945354200,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:37:45",
"content": "and I got it down to (4(x+y)^2 )/ 3",
"attachments": [],
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},
{
"id": 1003854117938147300,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 22:37:52",
"content": "could it be",
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},
{
"id": 1003854125726974000,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 22:37:54",
"content": "C = 4",
"attachments": [],
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},
{
"id": 1003854148271358100,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 22:37:59",
"content": "A = x+y",
"attachments": [],
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},
{
"id": 1003854165610606700,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 22:38:03",
"content": "p=2",
"attachments": [],
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"reference": null
},
{
"id": 1003854182001946600,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 22:38:07",
"content": "B = 3",
"attachments": [],
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},
{
"id": 1003854197126606800,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 22:38:11",
"content": "and q = -1?",
"attachments": [],
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},
{
"id": 1003854342647992300,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:38:45",
"content": "can’t you get rid of the x+y in denominator and the numerator changes from cubed to squared?",
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"id": 1003854367822192600,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:38:52",
"content": "yes",
"attachments": [],
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},
{
"id": 1003854379520110700,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 22:38:54",
"content": "thats what he did",
"attachments": [],
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},
{
"id": 1003854431823085600,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 22:39:07",
"content": "im just building on what he's done",
"attachments": [],
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"reference": null
},
{
"id": 1003854454489092100,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:39:12",
"content": "the issue is how i make it c a^p b^q",
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},
{
"id": 1003854486432915500,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 22:39:20",
"content": "ah shit i gtg for food",
"attachments": [],
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"reference": null
},
{
"id": 1003854492602728600,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:39:21",
"content": "Then it will just be (4/3)(x+y)^2",
"attachments": [],
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},
{
"id": 1003854501557567600,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 22:39:23",
"content": "gimme a sec",
"attachments": [],
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"reference": null
},
{
"id": 1003854517718220800,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 22:39:27",
"content": "late night hungies",
"attachments": [],
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},
{
"id": 1003854558415556700,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:39:37",
"content": "but how is x+y seperate?",
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},
{
"id": 1003854623024611300,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:39:52",
"content": "uhhh binomial expansion?",
"attachments": [],
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},
{
"id": 1003854755925327900,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:40:24",
"content": "anything in the form (a+b)^2 is equal to a^2 + 2ab + b^2",
"attachments": [],
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},
{
"id": 1003854875261685800,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:40:52",
"content": "and that doesn't work anyway you can't just do 4/3 times, and even if you can binomial expansion make x and y multiple things",
"attachments": [],
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},
{
"id": 1003854984884011100,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:41:19",
"content": "Unless, am I supposed to make A equal multiple things?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003855000885264400,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:41:22",
"content": "can I do that?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003855061669122000,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:41:37",
"content": "What? Just expand the binomial then apply 4/3 to all of the terms?",
"attachments": [],
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},
{
"id": 1003855237070737400,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:42:19",
"content": "oh yeah but if I expand it how can I have just c a^p b^q ?",
"attachments": [],
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},
{
"id": 1003855261355745300,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:42:25",
"content": "(x+y)^2 becomes x^2 + 2xy + b^2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003855291575709700,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:42:32",
"content": "I understand",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003855354574164000,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:42:47",
"content": "Is C a constant? What does it represent",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003855377487634600,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:42:52",
"content": "c is constant",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003855387453300900,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:42:55",
"content": "so is p and q",
"attachments": [],
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"reference": null
},
{
"id": 1003855413130825700,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:43:01",
"content": "they are numbers",
"attachments": [],
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"reference": null
},
{
"id": 1003855438032425100,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:43:07",
"content": "a and b are variables",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1003855460610351200,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:43:12",
"content": "thats all it says",
"attachments": [],
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"reference": null
},
{
"id": 1003855505220964500,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:43:23",
"content": "what the fuckkkk 😭 I have never seen this form",
"attachments": [],
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"reference": null
},
{
"id": 1003855532865626400,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:43:29",
"content": "ikr",
"attachments": [],
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"reference": null
},
{
"id": 1003855537156391000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/01/2022 22:43:30",
"content": "do you have a pic of the problem",
"attachments": [],
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"reference": null
},
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"timestamp": "08/01/2022 22:43:34",
"content": "yeah",
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"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:43:37",
"content": "Yeah pls send",
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"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:44:06",
"content": "alright doing it",
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"timestamp": "08/01/2022 22:44:24",
"content": "its question d",
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"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:44:42",
"content": "I did a b and c",
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"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:44:49",
"content": "but I don't get d",
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"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:44:57",
"content": "b ruh",
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"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:44:59",
"content": "and e looks easy",
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"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:45:10",
"content": "but d hurts",
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"author_name": "ramonov",
"timestamp": "08/01/2022 22:45:28",
"content": "i suppose you could explicitly express that as\n$$\\frac13 \\cdot 2^2 \\cdot (x+y)^2$$",
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"author_name": "TeXit",
"timestamp": "08/01/2022 22:45:31",
"content": "**ℝamonov**",
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"timestamp": "08/01/2022 22:45:42",
"content": "hm",
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"id": 1003856123100668000,
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"author_name": "kyoshi",
"timestamp": "08/01/2022 22:45:50",
"content": "basically",
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"author_name": "kyoshi",
"timestamp": "08/01/2022 22:45:53",
"content": "yeah",
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"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:45:58",
"content": "but two isn't a variable?",
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"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:46:04",
"content": "it needs to be",
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"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:46:07",
"content": "thats the problem",
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"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:46:09",
"content": "yeah a and b need ti be varioables to a number power",
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"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:46:16",
"content": "^^^^",
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"id": 1003856233448612000,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/01/2022 22:46:16",
"content": "do you have the answer key?",
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"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:46:21",
"content": "nope",
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"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:46:29",
"content": "wish I did",
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"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:46:33",
"content": "it’s not a test right",
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"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:46:36",
"content": "no",
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"id": 1003856324578250800,
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"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:46:38",
"content": "Good",
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},
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"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:46:40",
"content": "its a homework",
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{
"id": 1003856353028227200,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 22:46:45",
"content": "looks like a textbook",
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"id": 1003856363962781700,
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"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:46:47",
"content": "summer assignment",
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},
{
"id": 1003856444854116500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/01/2022 22:47:07",
"content": "the fact that a,b aren't even in the expression like the others is also questionable",
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{
"id": 1003856477150265300,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:47:14",
"content": "no it isn't a mistake",
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{
"id": 1003856500839686300,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:47:20",
"content": "g and h also have x and y",
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{
"id": 1003856547002208300,
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"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:47:31",
"content": "I can send photos of questions g and h",
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{
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"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:47:44",
"content": "Yeah and I don’t think there’s any way to express two variables a and b . You will have another two variables as 2xy",
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{
"id": 1003856679512846300,
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"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:48:03",
"content": "Am I the only one thinking this is unsolvable?",
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},
{
"id": 1003856689872773200,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:48:05",
"content": "thats the issue",
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},
{
"id": 1003856721871118300,
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"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:48:13",
"content": "I think so but I have no idea",
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"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:48:19",
"content": "",
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"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:48:22",
"content": "this is g and h",
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},
{
"id": 1003856808647073900,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:48:33",
"content": "they also don't have x and y",
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"timestamp": "08/01/2022 22:48:39",
"content": "I mean a and b",
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},
{
"id": 1003856884136149000,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:48:51",
"content": "they only have one variable",
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},
{
"id": 1003856900422643800,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:48:55",
"content": "I literally think it’s unsolvable because you can’t express it in that form simply because the 2xy exists",
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},
{
"id": 1003856905824907400,
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"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:48:57",
"content": "so I'm so confused",
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},
{
"id": 1003857044996104200,
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"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:49:30",
"content": "thats what I think but this assignment has been in use for two years, and I'm friendless so I don't know anyone who can help",
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"id": 1003857107382194200,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:49:45",
"content": "Don’t have a teacher to contact?",
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{
"id": 1003857180639895700,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:50:02",
"content": "nope, I don't know who my teacher is yet",
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},
{
"id": 1003857205348552700,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:50:08",
"content": "its a district wide assignment",
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"id": 1003857228824064100,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:50:14",
"content": "I mean campus",
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},
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"id": 1003857232405995600,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:50:14",
"content": ":bleakkekw:",
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},
{
"id": 1003857260432347300,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:50:21",
"content": "how I feel rn",
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},
{
"id": 1003857356247023700,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:50:44",
"content": "I'm so screwed, it 11 pages of this madness",
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},
{
"id": 1003857418922491900,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:50:59",
"content": "and not a single example",
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},
{
"id": 1003857473486204900,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:51:12",
"content": "and there is a test on it day one",
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},
{
"id": 1003857489948836000,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:51:16",
"content": "school sucks",
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{
"id": 1003857642743136400,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:51:52",
"content": "@Eric Tao do you have any idea how (4/3)(x+y)^2 can be expresssed in the form (c)(a^p)(b^q) where c p and q are constants?",
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"author_name": "Eric Tao",
"timestamp": "08/01/2022 22:53:38",
"content": "lol what why ask me",
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"author_name": "Eric Tao",
"timestamp": "08/01/2022 22:53:40",
"content": "lemme see",
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"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:53:43",
"content": "Ur smart 👍🏻",
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{
"id": 1003858170168492200,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:53:58",
"content": "big brain man I need your knowledge",
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"author_name": "Eric Tao",
"timestamp": "08/01/2022 22:53:59",
"content": "well",
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"author_name": "Eric Tao",
"timestamp": "08/01/2022 22:54:05",
"content": "c = 4/3, a = x+y, p = 2",
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"author_name": "Eric Tao",
"timestamp": "08/01/2022 22:54:09",
"content": "b=whatever, q=0",
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"timestamp": "08/01/2022 22:54:18",
"content": "b whatever doesn't help",
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"timestamp": "08/01/2022 22:54:25",
"content": "wdym",
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"timestamp": "08/01/2022 22:54:26",
"content": "q = 0 means one",
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"timestamp": "08/01/2022 22:54:29",
"content": "yes",
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"author_name": "kyoshi",
"timestamp": "08/01/2022 22:54:32",
"content": "\"whatever\"",
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"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:54:38",
"content": ":KEK:",
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"id": 1003858338481713200,
"author_id": 469477482769416200,
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"timestamp": "08/01/2022 22:54:38",
"content": "and b needs to be a variable",
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"author_name": "Eric Tao",
"timestamp": "08/01/2022 22:54:40",
"content": "it can be whatever, as long as it's not zero",
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"id": 1003858369834127400,
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"timestamp": "08/01/2022 22:54:46",
"content": "not whatever",
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"id": 1003858394635059200,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:54:52",
"content": "what does whatever mean",
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"author_name": "Eric Tao",
"timestamp": "08/01/2022 22:54:52",
"content": "just set b = 1",
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"author_name": "Eric Tao",
"timestamp": "08/01/2022 22:54:56",
"content": "it can be whatever you want",
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"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:55:00",
"content": "b is a variable tho bro",
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"timestamp": "08/01/2022 22:55:14",
"content": "woah, that feels cheap but I'm desperate",
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"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:55:18",
"content": "It has to be x or y",
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"id": 1003858527300882600,
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"author_name": "Eric Tao",
"timestamp": "08/01/2022 22:55:23",
"content": "I mean the problem doesn't even have an a or a b in it",
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"author_name": "Eric Tao",
"timestamp": "08/01/2022 22:55:27",
"content": "so I think you can make a or b whatever you want",
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"id": 1003858561237008400,
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"author_name": "Eric Tao",
"timestamp": "08/01/2022 22:55:31",
"content": "you're not exactly cheating here",
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"id": 1003858566517628900,
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"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:55:33",
"content": "Yes they are replaced by x and y my guy",
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"id": 1003858567964659700,
"author_id": 968855747754602500,
"author_name": "GHOST_RIDER",
"timestamp": "08/01/2022 22:55:33",
"content": "why not then place b as x^0",
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},
{
"id": 1003858569935978600,
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"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:55:33",
"content": "I think so but later questions only have one variable",
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"id": 1003858585064833200,
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"timestamp": "08/01/2022 22:55:37",
"content": "he might be right",
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},
{
"id": 1003858633832017900,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:55:49",
"content": "Eric is a genius",
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"id": 1003858649145417900,
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"author_name": "Eric Tao",
"timestamp": "08/01/2022 22:55:52",
"content": "if you want you can also make a = b = x + y",
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{
"id": 1003858661917073500,
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"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:55:55",
"content": "big brain",
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},
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"id": 1003858684872491000,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:56:01",
"content": "that works",
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},
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"id": 1003858685388394500,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "08/01/2022 22:56:01",
"content": "there are like",
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},
{
"id": 1003858698927603800,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "08/01/2022 22:56:04",
"content": "an infinite number of ways to do this",
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},
{
"id": 1003858728342274200,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "08/01/2022 22:56:11",
"content": "and meet the (vague) guidelines that they want",
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},
{
"id": 1003858739587199000,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:56:14",
"content": "I’m sorry we are so smooth brain",
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},
{
"id": 1003858770033659900,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:56:21",
"content": "that you figured out, so you so wrinkly brain",
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},
{
"id": 1003858789138714800,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "08/01/2022 22:56:26",
"content": "tbh",
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},
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"id": 1003858800375255000,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "08/01/2022 22:56:28",
"content": "it's probably just a typo",
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},
{
"id": 1003858805987217400,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "08/01/2022 22:56:30",
"content": "I would bet",
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},
{
"id": 1003858829496291500,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:56:35",
"content": "alright ima close it tho",
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},
{
"id": 1003858848249041000,
"author_id": 531535537362829300,
"author_name": "Eric Tao",
"timestamp": "08/01/2022 22:56:40",
"content": "the fact that there is no a or b is suspicious lol",
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},
{
"id": 1003858849150812200,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "08/01/2022 22:56:40",
"content": "👍🏻",
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},
{
"id": 1003858892100489300,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:56:50",
"content": "but it does that for g and h questions",
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},
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"id": 1003858901818691600,
"author_id": 469477482769416200,
"author_name": "Murderous Mashed Potatos",
"timestamp": "08/01/2022 22:56:52",
"content": ".close",
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},
{
"id": 1003858903353807000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 22:56:53",
"content": "Channel closed",
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"reference": null
}
] |
help-9
|
59ed5f90c1a14b3a95c4f1c9d6d0fb6d
|
197,584 |
[
{
"id": 1003859155884454000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 22:57:53",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1003861590027796500,
"author_id": 909443531561640000,
"author_name": "Chupapi",
"timestamp": "08/01/2022 23:07:33",
"content": "When the price is Rs 20 per pen, 10 pens are sold and 20 Pens are sold when price is Rs 60 per pen.Find the linear demand function",
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},
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"id": 1003861592615698400,
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"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 23:07:34",
"content": "Pinned a message.",
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"id": 1003861701512405000,
"author_id": 909443531561640000,
"author_name": "Chupapi",
"timestamp": "08/01/2022 23:08:00",
"content": "I",
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"id": 1003861714879652000,
"author_id": 909443531561640000,
"author_name": "Chupapi",
"timestamp": "08/01/2022 23:08:03",
"content": "It's pen not pant",
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},
{
"id": 1003861895347962000,
"author_id": 909443531561640000,
"author_name": "Chupapi",
"timestamp": "08/01/2022 23:08:46",
"content": "I heard linear demand function for the frst tym",
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"id": 1003861943636996200,
"author_id": 909443531561640000,
"author_name": "Chupapi",
"timestamp": "08/01/2022 23:08:58",
"content": "Teacher didn't taught us dis idk how to do",
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},
{
"id": 1003861986494390400,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 23:09:08",
"content": "i think u gotta plot a graph",
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},
{
"id": 1003862005532348500,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 23:09:12",
"content": "not too sure",
"attachments": [],
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"reference": null
},
{
"id": 1003862048603639900,
"author_id": 909443531561640000,
"author_name": "Chupapi",
"timestamp": "08/01/2022 23:09:23",
"content": "Oh",
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},
{
"id": 1003862380033360000,
"author_id": 909443531561640000,
"author_name": "Chupapi",
"timestamp": "08/01/2022 23:10:42",
"content": "Can u make it sure?",
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},
{
"id": 1003862428452397200,
"author_id": 909443531561640000,
"author_name": "Chupapi",
"timestamp": "08/01/2022 23:10:53",
"content": "By researchin on it",
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},
{
"id": 1003862454582907000,
"author_id": 909443531561640000,
"author_name": "Chupapi",
"timestamp": "08/01/2022 23:11:00",
"content": "Idk",
"attachments": [],
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"reference": null
},
{
"id": 1003862458068377600,
"author_id": 909443531561640000,
"author_name": "Chupapi",
"timestamp": "08/01/2022 23:11:00",
"content": "Sir",
"attachments": [],
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"reference": null
},
{
"id": 1003862504453189800,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "08/01/2022 23:11:11",
"content": "idk",
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},
{
"id": 1003862512401391600,
"author_id": 691924005334286300,
"author_name": "kyoshi",
"timestamp": "08/01/2022 23:11:13",
"content": "idk too much on this topic",
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"id": 1003862532466946000,
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"timestamp": "08/01/2022 23:11:18",
"content": "sorry",
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"id": 1003862562066145300,
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"author_name": "kyoshi",
"timestamp": "08/01/2022 23:11:25",
"content": "maybe someone else could help",
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},
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"id": 1003862585625546900,
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"timestamp": "08/01/2022 23:11:31",
"content": "Np",
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"timestamp": "08/01/2022 23:11:38",
"content": "Ok then",
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"author_name": "Chupapi",
"timestamp": "08/01/2022 23:17:20",
"content": ".close",
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},
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"timestamp": "08/01/2022 23:17:20",
"content": "Channel closed",
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}
] |
help-9
|
2f593c8b2f00482aaff50d0b6b052413
|
197,585 |
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{
"id": 1003864303696363500,
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"author_name": "Mathematics Bot",
"timestamp": "08/01/2022 23:18:20",
"content": "Available help channel!",
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},
{
"id": 1003871447124549600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/01/2022 23:46:44",
"content": "For ABCDEF, I got AB-2C-2E-2D-2F",
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"content": "Pinned a message.",
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"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "08/01/2022 23:51:18",
"content": "You need to find the remainder when 10^n(A through F) is divided by 7",
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"id": 1003872656640200800,
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"timestamp": "08/01/2022 23:51:32",
"content": "For example 10E divided by 7 is 3E",
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"id": 1003872691390001200,
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"timestamp": "08/01/2022 23:51:40",
"content": "You could also use modular here",
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"timestamp": "08/02/2022 00:01:44",
"content": "@Deleted User Has your question been resolved?",
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"timestamp": "08/02/2022 00:03:27",
"content": "so for 50A + 40B + 60C + 20D + 30E + 10F, is it that the reminders are 1, 5, 4, 6, 2, 3?",
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"timestamp": "08/02/2022 00:07:57",
"content": "ah not quite",
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"id": 1003876938613522600,
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"timestamp": "08/02/2022 00:08:33",
"content": "its 10^n, so it would be",
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"id": 1003877148882378900,
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"timestamp": "08/02/2022 00:09:23",
"content": "$100000A + 10000B + 1000C + 100D + 10E + F \\equiv 0 \\pmod{7}$",
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},
{
"id": 1003877158734794800,
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"timestamp": "08/02/2022 00:09:25",
"content": "",
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"timestamp": "08/02/2022 00:09:47",
"content": "and you reduce each coefficient mod 7",
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"timestamp": "08/02/2022 00:11:35",
"content": "Oh I see, so the reminders are 5, 4, 6, 2, 3, 1, same as the multipliers",
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"timestamp": "08/02/2022 00:13:26",
"content": "yep",
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"timestamp": "08/02/2022 00:13:49",
"content": "and 5 + 4 + 6 + 2 + 3 + 1 = 21 is divisible by 7",
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"timestamp": "08/02/2022 00:16:02",
"content": "wait no actually",
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"timestamp": "08/02/2022 00:16:11",
"content": "thats not necessarily true sorry",
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"content": "if this is true, then $5A + 4B + 6C + 2D + 3E + F \\equiv 0 \\pmod{7}$ as well",
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"timestamp": "08/02/2022 00:18:14",
"content": "and then do I find the reminders of this equation and get 5, 4, 6, 2, 3, 1?",
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"timestamp": "08/02/2022 00:18:40",
"content": "there's no need to find remainders of those, since you already reduced this down to that",
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"author_name": "bendy",
"timestamp": "08/02/2022 00:18:59",
"content": "$\\equiv 0 \\pmod{7}$ means divisible by 7",
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"timestamp": "08/02/2022 00:19:22",
"content": "so by doing mod operations on this guy and getting to the other guy",
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"timestamp": "08/02/2022 00:19:41",
"content": "we preserve the divisible by 7 property",
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"timestamp": "08/02/2022 00:19:49",
"content": "and crucially you can go backwards",
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"timestamp": "08/02/2022 00:20:03",
"content": "basically, if this guy is divisible by 7",
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"timestamp": "08/02/2022 00:20:07",
"content": "then so is this guy",
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"timestamp": "08/02/2022 00:20:19",
"content": "thats the first part of the problem done!",
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"timestamp": "08/02/2022 00:20:23",
"content": "ohh i see i get it now",
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"timestamp": "08/02/2022 00:20:28",
"content": "👍",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/02/2022 00:20:58",
"content": "Do I perform the same (10^n) on AB-2C-2E-2D-2F?",
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"id": 1003880109909999600,
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"author_name": "bendy",
"timestamp": "08/02/2022 00:21:09",
"content": "where do you see that?",
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"id": 1003880324662558800,
"author_id": 831591156919173100,
"author_name": "bendy",
"timestamp": "08/02/2022 00:22:00",
"content": "how did you arrive at that",
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"id": 1003880515360800900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/02/2022 00:22:46",
"content": "not sure, cause that's what we did for the other equation?",
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"author_name": "bendy",
"timestamp": "08/02/2022 00:23:05",
"content": "im a little confused how you are getting negatives",
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"id": 1003880696584093700,
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"author_name": "bendy",
"timestamp": "08/02/2022 00:23:29",
"content": "and why AB are multiplied together",
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"timestamp": "08/02/2022 00:24:43",
"content": "oh cause AB-2C-2E-2D-2F is the equation that checks the divisibility for 7, I wasn't sure what to do for the first step",
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"author_name": "bendy",
"timestamp": "08/02/2022 00:26:45",
"content": "okay let me get this straight",
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"author_name": "bendy",
"timestamp": "08/02/2022 00:26:57",
"content": "take $225043$",
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"author_name": "TeXit",
"timestamp": "08/02/2022 00:26:59",
"content": "",
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"author_name": "bendy",
"timestamp": "08/02/2022 00:27:00",
"content": "its divisible by 7",
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"id": 1003881598900515000,
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"author_name": "bendy",
"timestamp": "08/02/2022 00:27:04",
"content": "if i use your formula",
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"id": 1003881610770395300,
"author_id": 831591156919173100,
"author_name": "bendy",
"timestamp": "08/02/2022 00:27:07",
"content": "i get -20",
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"id": 1003881685332529200,
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"author_name": "bendy",
"timestamp": "08/02/2022 00:27:25",
"content": "$2*2 - 2*5 - 2*0 - 2*4 - 2*3 = -20$",
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"author_name": "TeXit",
"timestamp": "08/02/2022 00:27:27",
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"author_name": "Deleted User",
"timestamp": "08/02/2022 00:29:07",
"content": "oh my bad",
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"author_name": "bendy",
"timestamp": "08/02/2022 00:30:49",
"content": "no worries",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/02/2022 00:31:03",
"content": "ABCDE-2F, but this can't be \"extended\" anymore?",
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"id": 1003882698235969700,
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"author_name": "bendy",
"timestamp": "08/02/2022 00:31:26",
"content": "i dont quite follow what you mean by extended",
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"id": 1003882729886187500,
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"author_name": "bendy",
"timestamp": "08/02/2022 00:31:34",
"content": "cant reduce it mod 7?",
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"id": 1003882775721541800,
"author_id": 831591156919173100,
"author_name": "bendy",
"timestamp": "08/02/2022 00:31:44",
"content": "ABCDEF represent the digits",
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},
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"id": 1003882804460929000,
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"author_name": "bendy",
"timestamp": "08/02/2022 00:31:51",
"content": "if we take a 2 digit example",
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"id": 1003882809917718500,
"author_id": 831591156919173100,
"author_name": "bendy",
"timestamp": "08/02/2022 00:31:53",
"content": "28",
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"author_name": "bendy",
"timestamp": "08/02/2022 00:31:55",
"content": "A = 2, B = 8",
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"author_name": "bendy",
"timestamp": "08/02/2022 00:32:09",
"content": "we represent $28 = 10A + B$",
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"author_name": "TeXit",
"timestamp": "08/02/2022 00:32:12",
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"author_name": "Deleted User",
"timestamp": "08/02/2022 00:33:48",
"content": "I see, so ABCDEF can be respresented as 100000A + 10000B + 1000C + 100D + 10E + F?",
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"timestamp": "08/02/2022 00:33:54",
"content": "yep exactly",
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"author_name": "Deleted User",
"timestamp": "08/02/2022 00:35:52",
"content": "and mod 7 it would be 5, 4, 6, 2, 3, 1 which is 5A + 4B + 6C + 2D + 3E + 1F, and it's divisible by 7",
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"id": 1003883877179347100,
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"author_name": "bendy",
"timestamp": "08/02/2022 00:36:07",
"content": "👍",
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},
{
"id": 1003884027171844100,
"author_id": 831591156919173100,
"author_name": "bendy",
"timestamp": "08/02/2022 00:36:43",
"content": "$100000A + 10000B + 1000C + 100D + 10E + F \\equiv 5A + 4B + 6C + 2D + 3E + F \\pmod{7}$",
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"timestamp": "08/02/2022 00:37:06",
"content": "yeah",
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"author_name": "Deleted User",
"timestamp": "08/02/2022 00:37:15",
"content": "thanks for the help!",
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},
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"id": 1003884183451615400,
"author_id": 831591156919173100,
"author_name": "bendy",
"timestamp": "08/02/2022 00:37:20",
"content": "npnp :)",
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"timestamp": "08/02/2022 00:37:43",
"content": ".close",
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"id": 1003884283049553900,
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"author_name": "Mathematics Bot",
"timestamp": "08/02/2022 00:37:44",
"content": "Channel closed",
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}
] |
help-9
|
ea381b921f1a48e0ad960b9f43093b35
|
197,586 |
[
{
"id": 1003884536268079100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/02/2022 00:38:44",
"content": "Available help channel!",
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},
{
"id": 1003886274656092200,
"author_id": 650525101048987600,
"author_name": "tEjAs",
"timestamp": "08/02/2022 00:45:39",
"content": "Would the asymptote of `y=x^2*e^(-x)` be y=0? I think that this would be the case but when x = 0, y also equals 0. So would the asymptote still be y=0? Thanks!",
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},
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"id": 1003886277873115300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/02/2022 00:45:39",
"content": "Pinned a message.",
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"id": 1003887310259105800,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "08/02/2022 00:49:46",
"content": "well",
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},
{
"id": 1003887761897562100,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "08/02/2022 00:51:33",
"content": "it approaches 0 as x goes to infinite",
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},
{
"id": 1003887809020559500,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "08/02/2022 00:51:45",
"content": "so y=0 is still an asymptote",
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},
{
"id": 1003888143520497800,
"author_id": 650525101048987600,
"author_name": "tEjAs",
"timestamp": "08/02/2022 00:53:04",
"content": "So would there be nothing special about (0, 0)?",
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},
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"id": 1003888213821239300,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "08/02/2022 00:53:21",
"content": "i dont think so",
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},
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"id": 1003888288920244200,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "08/02/2022 00:53:39",
"content": "its doesnt really matter if it passes through the asymptote",
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},
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"id": 1003888352157769700,
"author_id": 687838064084910100,
"author_name": "FructosePear",
"timestamp": "08/02/2022 00:53:54",
"content": "as long as it eventually approaches the asymptote",
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"id": 1003888376191144000,
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"timestamp": "08/02/2022 00:54:00",
"content": "alright, thank you so much!",
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"timestamp": "08/02/2022 01:09:00",
"content": "@tEjAs Has your question been resolved?",
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"timestamp": "08/02/2022 01:24:00",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
85164f03e2944dd8aed01768d2b8c3ef
|
197,587 |
[
{
"id": 1003896180515819500,
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"timestamp": "08/02/2022 01:25:00",
"content": "Available help channel!",
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},
{
"id": 1003898781500198900,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/02/2022 01:35:21",
"content": "can someone exlpain why they brought up the area of the rectangle being greater/less than the cure",
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"timestamp": "08/02/2022 01:35:21",
"content": "Pinned a message.",
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{
"id": 1003898943819751600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/02/2022 01:35:59",
"content": "what's the area of each rectangle?",
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},
{
"id": 1003899009368334300,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/02/2022 01:36:15",
"content": "wouldnt it be divergent as long as the area under the curve is inifinte?",
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},
{
"id": 1003899106760065000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/02/2022 01:36:38",
"content": "that only applies to the integral",
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},
{
"id": 1003899133821726700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/02/2022 01:36:45",
"content": "they're trying to infer something about the series",
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},
{
"id": 1003899397534392400,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/02/2022 01:37:47",
"content": "area of the rectangle is f(k) * (ak - ak-1) ?",
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},
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"id": 1003899586655567900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/02/2022 01:38:33",
"content": "okay, area = A = L * W",
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},
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"id": 1003899642741788800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/02/2022 01:38:46",
"content": "L = height, W = width",
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"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/02/2022 01:38:58",
"content": "What's L, W for the first rectangle on the left",
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"id": 1003899738153812000,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/02/2022 01:39:09",
"content": "a1",
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"id": 1003899765714591900,
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"author_name": "meatwagon",
"timestamp": "08/02/2022 01:39:15",
"content": "*1",
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"id": 1003899824896229400,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/02/2022 01:39:29",
"content": "so A = a1",
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"id": 1003899878763667500,
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"timestamp": "08/02/2022 01:39:42",
"content": "right. repeat for the next",
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},
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"id": 1003899919138050000,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/02/2022 01:39:52",
"content": "a2 , a3 .. an",
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},
{
"id": 1003899955922092000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/02/2022 01:40:01",
"content": "what's the sum of these rectangles?",
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{
"id": 1003900008376058000,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/02/2022 01:40:13",
"content": "infinity",
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"id": 1003900012444520400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/02/2022 01:40:14",
"content": "maybe use a greek symbol",
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},
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"id": 1003900099937718300,
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"author_name": "riemann",
"timestamp": "08/02/2022 01:40:35",
"content": "well yes but before you evaluate it, you can express it compactly",
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"id": 1003900118862418000,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/02/2022 01:40:39",
"content": "if its greater than inifity its still infinity right?",
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},
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"id": 1003900185014972400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/02/2022 01:40:55",
"content": "do you understand why?",
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"id": 1003900248885825500,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/02/2022 01:41:10",
"content": "because nothing is greater than infinity?",
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"id": 1003900354200604700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/02/2022 01:41:36",
"content": "alright if that's good enough for you",
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},
{
"id": 1003900748519710800,
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"timestamp": "08/02/2022 01:43:10",
"content": "one more q",
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"timestamp": "08/02/2022 01:43:10",
"content": "",
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"timestamp": "08/02/2022 01:43:28",
"content": "i dont see how k =1 is NOT convergent",
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"id": 1003900985397231600,
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"timestamp": "08/02/2022 01:44:06",
"content": "could you explain please",
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"id": 1003901101885624300,
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"author_name": "riemann",
"timestamp": "08/02/2022 01:44:34",
"content": "that's not what it's saying",
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"id": 1003901160127737900,
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"author_name": "meatwagon",
"timestamp": "08/02/2022 01:44:48",
"content": "wwhat is it saying?",
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"id": 1003901160379404400,
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"author_name": "riemann",
"timestamp": "08/02/2022 01:44:48",
"content": "on the very next line",
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"timestamp": "08/02/2022 01:45:09",
"content": "do the same calculation as before",
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"timestamp": "08/02/2022 01:45:16",
"content": "sum all the rectangles",
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"timestamp": "08/02/2022 01:45:39",
"content": "ok summing all the reectangle will result in a finite answer",
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"id": 1003901650701930500,
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"timestamp": "08/02/2022 01:46:45",
"content": "do you know what the sum of the rectangles equals?",
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"id": 1003901666719965200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/02/2022 01:46:48",
"content": "what's the first term?",
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},
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"id": 1003901717726888100,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/02/2022 01:47:01",
"content": "a2",
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},
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"id": 1003901773494366200,
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"author_name": "meatwagon",
"timestamp": "08/02/2022 01:47:14",
"content": "a2 + a3 + .... + an?",
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"id": 1003901784219193500,
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"timestamp": "08/02/2022 01:47:16",
"content": "right",
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"id": 1003901834022363100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/02/2022 01:47:28",
"content": "do you get this now?",
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"timestamp": "08/02/2022 01:47:40",
"content": "yea",
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{
"id": 1003901911801536500,
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"author_name": "meatwagon",
"timestamp": "08/02/2022 01:47:47",
"content": "cos it didnt ahve that red dot right",
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"id": 1003901984669175800,
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"timestamp": "08/02/2022 01:48:04",
"content": "sure",
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},
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"timestamp": "08/02/2022 02:02:47",
"content": "@meatwagon Has your question been resolved?",
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"timestamp": "08/02/2022 02:04:56",
"content": "Channel closed",
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}
] |
help-9
|
7e5be1b8604c45daabeaadb7ff699d20
|
197,588 |
[
{
"id": 1003906482124894200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/02/2022 02:05:57",
"content": "Available help channel!",
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},
{
"id": 1003907382876852400,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/02/2022 02:09:31",
"content": "isnt it 5?",
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"timestamp": "08/02/2022 02:09:32",
"content": "Pinned a message.",
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"id": 1003907507917422600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/02/2022 02:10:01",
"content": "share your work",
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},
{
"id": 1003907516884860900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/02/2022 02:10:03",
"content": "and no it isn't",
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},
{
"id": 1003907571758923800,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/02/2022 02:10:16",
"content": "i just plugged in values into my calc",
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},
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"id": 1003907598266945500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/02/2022 02:10:23",
"content": "type it out here",
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},
{
"id": 1003907643947098200,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/02/2022 02:10:34",
"content": "an+1/an , let n = 99",
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},
{
"id": 1003907702075969500,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/02/2022 02:10:47",
"content": "5^(-98)/5^-99",
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},
{
"id": 1003907722317676500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/02/2022 02:10:52",
"content": "nah",
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},
{
"id": 1003907752109818000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/02/2022 02:10:59",
"content": "n+1 = 100, not 98",
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"timestamp": "08/02/2022 02:11:26",
"content": "shit ur right",
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},
{
"id": 1003908095384228000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/02/2022 02:12:21",
"content": "parentheses are hard",
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},
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"id": 1003908109586145300,
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"author_name": "meatwagon",
"timestamp": "08/02/2022 02:12:25",
"content": "i actually plugged 5^(-99+1)/5^-99",
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},
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"id": 1003908131996315600,
"author_id": 312160913438408700,
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"timestamp": "08/02/2022 02:12:30",
"content": "into my calc",
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},
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"id": 1003908405100027900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/02/2022 02:13:35",
"content": "yea the right thing would be\n 5^(-(99+1))/5^-99",
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"id": 1003908472699629600,
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"author_name": "riemann",
"timestamp": "08/02/2022 02:13:51",
"content": "i mean the right thing in what your attempt",
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"id": 1003908496732987500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/02/2022 02:13:57",
"content": "the actual right thing is to evaluate the limit",
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},
{
"id": 1003909674711658600,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/02/2022 02:18:38",
"content": "i that is a good way to evaluate the limit no?",
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},
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"id": 1003909690238972000,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/02/2022 02:18:41",
"content": "subbing in values",
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},
{
"id": 1003909741900218400,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/02/2022 02:18:54",
"content": "n= 1, 99, 999999999",
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},
{
"id": 1003910011963068400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/02/2022 02:19:58",
"content": "maybe for some problems",
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},
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"id": 1003912073056628700,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/02/2022 02:28:10",
"content": "how do i do the first one quickly? is there a quick way",
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"id": 1003912229432856600,
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"timestamp": "08/02/2022 02:28:47",
"content": "did you learn limits in calculus ?",
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"id": 1003912534488780900,
"author_id": 312160913438408700,
"author_name": "meatwagon",
"timestamp": "08/02/2022 02:30:00",
"content": "learnign rn",
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},
{
"id": 1003914858338721800,
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"author_name": "meatwagon",
"timestamp": "08/02/2022 02:39:14",
"content": "",
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"author_name": "meatwagon",
"timestamp": "08/02/2022 02:39:16",
"content": "how is this wrong",
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},
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"id": 1003918643303813200,
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"author_name": "Mathematics Bot",
"timestamp": "08/02/2022 02:54:16",
"content": "@meatwagon Has your question been resolved?",
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"id": 1003920661242191900,
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"author_name": "riemann",
"timestamp": "08/02/2022 03:02:17",
"content": "Probably just need to simplify",
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"timestamp": "08/02/2022 03:09:16",
"content": "Channel closed",
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}
] |
help-9
|
e8f5bc47edd1458fbd93d4b57949964d
|
197,589 |
[
{
"id": 1003948853550137300,
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"author_name": "Mathematics Bot",
"timestamp": "08/02/2022 04:54:19",
"content": "Available help channel!",
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},
{
"id": 1003968963065168000,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:14:13",
"content": "",
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{
"id": 1003968967829897300,
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"timestamp": "08/02/2022 06:14:14",
"content": "Pinned a message.",
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{
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"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:14:16",
"content": "calculate this sum",
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},
{
"id": 1003969059253141500,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:14:36",
"content": "No idea how",
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},
{
"id": 1003969546559946800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 06:16:32",
"content": "something something binomial expansion",
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},
{
"id": 1003969575664226400,
"author_id": 712222770322210800,
"author_name": "jasoon",
"timestamp": "08/02/2022 06:16:39",
"content": "oh this is a series multisection thing",
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"timestamp": "08/02/2022 06:16:44",
"content": "something something i",
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"timestamp": "08/02/2022 06:17:04",
"content": "Exactly haha",
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"timestamp": "08/02/2022 06:17:27",
"content": "ik it has something to do with those",
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"timestamp": "08/02/2022 06:17:36",
"content": "but i cant quite figure out how to put them together",
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"timestamp": "08/02/2022 06:17:42",
"content": "$f(x) = (1+x)^n = \\sum_{k=0}^n \\binom{n}{k} x^k$",
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"timestamp": "08/02/2022 06:17:45",
"content": "**Ann**",
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"timestamp": "08/02/2022 06:18:14",
"content": "ann how do you have a blue background for texit",
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"timestamp": "08/02/2022 06:18:21",
"content": "blue?",
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"author_name": "jasoon",
"timestamp": "08/02/2022 06:18:28",
"content": "is that not blue",
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"timestamp": "08/02/2022 06:18:33",
"content": "that's grey",
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"timestamp": "08/02/2022 06:18:40",
"content": "oh",
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"author_name": "Ann",
"timestamp": "08/02/2022 06:18:40",
"content": "maybe your f.lux is malfunctioning?",
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"author_name": "Ann",
"timestamp": "08/02/2022 06:18:48",
"content": "anyway i think this might just be $\\frac14 \\paren{f(1) + f(i) + f(-1) + f(-i)}$",
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"timestamp": "08/02/2022 06:18:50",
"content": "**Ann**",
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"timestamp": "08/02/2022 06:19:26",
"content": "but isnt this just 0?",
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"author_name": "Ann",
"timestamp": "08/02/2022 06:19:46",
"content": "is it?",
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"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 06:20:02",
"content": "it's (2^n + (1+i)^n + (1-i)^n)/4 from where i'm looking.",
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"author_name": "Ann",
"timestamp": "08/02/2022 06:20:11",
"content": "not something you'd call zero on a whim.",
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"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:20:23",
"content": "write it out in for of the binomial sum",
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"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:20:51",
"content": "and factorize the sum of C(n,k) you have (1-1+i-i)",
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"author_name": "Ann",
"timestamp": "08/02/2022 06:20:58",
"content": "no you don't, not for all of them",
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"author_name": "Ann",
"timestamp": "08/02/2022 06:21:03",
"content": "the coefficients on $\\binom{n}{4k}$ will be $1+1+1+1=4$",
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"timestamp": "08/02/2022 06:21:05",
"content": "**Ann**",
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"timestamp": "08/02/2022 06:21:05",
"content": "they cancel out for not multiples of 4",
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"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:21:20",
"content": "oh shit",
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"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:21:21",
"content": "right",
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"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:21:37",
"content": "Thanks a lot",
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"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:21:42",
"content": "ANn how are you so freaking good",
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"id": 1003970880310874100,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:21:50",
"content": "like have you finished maths?",
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"id": 1003970904704958600,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:21:56",
"content": "literally done with it",
"attachments": [],
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"id": 1003970998384734200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 06:22:18",
"content": "define \"finished math\"?",
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"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:22:48",
"content": "Idk lol there's barely anything you cant answer on the whim",
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"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:23:05",
"content": "What did you study?",
"attachments": [],
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"id": 1003971286478880800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 06:23:27",
"content": "a lot of things",
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"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:23:30",
"content": "Ik maths but did you do prepa in france or did you go to a fancy uni?",
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"id": 1003971308851310700,
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"author_name": "Ann",
"timestamp": "08/02/2022 06:23:32",
"content": "selection bias",
"attachments": [],
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"author_name": "Ann",
"timestamp": "08/02/2022 06:23:43",
"content": "je ne suis même pas française",
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"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:23:49",
"content": "what do you mean",
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"timestamp": "08/02/2022 06:23:57",
"content": "if you don't see ann answering you assume ann isn't here or something",
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"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:24:07",
"content": "Exactly lol XD",
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"author_name": "Ann",
"timestamp": "08/02/2022 06:24:09",
"content": "you don't see me answering questions that i don't deem myself competent enough to answer.",
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"id": 1003971474878644400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 06:24:12",
"content": "because i simply don't.",
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"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:24:22",
"content": "okay",
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"id": 1003971558945067000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 06:24:32",
"content": "(and i also leave alone questions that i do not think of as deserving my time)",
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"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:24:59",
"content": "Haha well i am honored mine did XD",
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"author_name": "Ann",
"timestamp": "08/02/2022 06:25:02",
"content": "for the solution to this particular question my brain wandered into the conceptual neighborhood of discrete fourier analysis",
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"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:25:10",
"content": "and thats another thing btw why do you answer questions",
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"id": 1003971729468694700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 06:25:13",
"content": "which is something i studied in year 4 of my bach degree",
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"id": 1003971739732152400,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:25:15",
"content": "why do you help",
"attachments": [],
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},
{
"id": 1003971757184651300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 06:25:19",
"content": "because i like helping people",
"attachments": [],
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"id": 1003971785546535000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 06:25:26",
"content": "and i like sharing my mathematical knowledge",
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"id": 1003971790063808500,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:25:27",
"content": "Amazing truly",
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"id": 1003971884481794000,
"author_id": 712222770322210800,
"author_name": "jasoon",
"timestamp": "08/02/2022 06:25:50",
"content": "how do you set the texit backgroudn to grey though",
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},
{
"id": 1003971923102945400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 06:25:59",
"content": "`,tex --color white` or something to that effect",
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},
{
"id": 1003971951737450600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 06:26:06",
"content": "i forgor if it was white or light or whatever",
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},
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"id": 1003971988110446700,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:26:14",
"content": "no idea what that is yet",
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"author_name": "Ann",
"timestamp": "08/02/2022 06:26:20",
"content": "don't worry about it",
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},
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"id": 1003972147200393200,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:26:52",
"content": "God what id do to be able to look at a question and say huh that's easy XD",
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"id": 1003972216746148000,
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"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:27:09",
"content": "That's what practice is for",
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},
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"id": 1003972295355809800,
"author_id": 831267103293964300,
"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:27:28",
"content": "thankss ann again",
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},
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"author_name": "Dazzlefishe",
"timestamp": "08/02/2022 06:27:31",
"content": ".close",
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},
{
"id": 1003972310790844400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/02/2022 06:27:31",
"content": "Channel closed",
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}
] |
help-9
|
edd9f86c95af4b3a8beb2fb09da674d0
|
197,590 |
[
{
"id": 1003972563896119300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/02/2022 06:28:32",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1003976132946825300,
"author_id": 272170010447839230,
"author_name": "nered",
"timestamp": "08/02/2022 06:42:43",
"content": "I'm trying to understand the partial derivative in the case of my formula its been ages since I have done derivatives. I'm learning about gradient descent I have this formula from linear regression:\n\n```\nf(x) = m * x + b ; where m is the slope and b is the y intercept\n```\n\nThe derivative I'm looking for is of these two functions:\n\n```\nd/dm f(m, b) = SUM of (y - (m * x + b))^2\nd/db f(m, b) = SUM of (y - (m * x + b))^2\n```\n\nMy own approach comes to:\n```\nd/dm f(m, b) = SUM of 2(0 - (1 * x + 0))\nd/db f(m, b) = SUM of 2(0 - (1 + 1))\n```\n\nwhich does seem wrong tho I'm not sure what I'm doing wrong as the code returns incorrect data. \n\nSo first step I is the derivative of the outer part of function which in case of **m** comes to `2(y - (mx + b))` the second step is to then evaluated the inner part because in respect to **m** the **y** and **b** are constants so they become **0** and **m** in respect to **m** is 1 so: `2(0 - (1 * x + 0))`\n\nFor the second partial derivative in respect to **b** I'm not sure. I do the first step the same way and get `2(y - (mx + b))` than **y** and **mx** are constants in respect to **b** so they are 0 and well **b** in respect to **b** is 1 so I come to the result of `2(0 - (0 + 1))` which however in the end in the code returns incorrect results.",
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"id": 1003976134943322100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/02/2022 06:42:43",
"content": "Pinned a message.",
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"author_id": 272170010447839230,
"author_name": "nered",
"timestamp": "08/02/2022 06:42:53",
"content": "What am I doing wrong here ?",
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},
{
"id": 1003977715986202600,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "08/02/2022 06:49:00",
"content": ":cutethink:",
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},
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"id": 1003977744633307100,
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"author_name": "jan Niku",
"timestamp": "08/02/2022 06:49:07",
"content": "are you sure the code is wrong",
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"timestamp": "08/02/2022 06:49:17",
"content": "either way lemme check",
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"author_name": "jan Niku",
"timestamp": "08/02/2022 06:51:24",
"content": "$\\pdv b (y-mx-b)^2 = 2(y-mx-b)*(-1)$ i think?",
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"author_name": "nered",
"timestamp": "08/02/2022 06:51:38",
"content": "```partial derivative of m in f(m,b) = (y - (m*x + b))^2``` wolfram alfa tells me that this is the correct result for the partial derivative in respect to m `2x(b + m*x - y)`",
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"author_name": "jan Niku",
"timestamp": "08/02/2022 06:52:14",
"content": "if youre thinking about uhh",
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"author_name": "jan Niku",
"timestamp": "08/02/2022 06:52:24",
"content": "well we can say at least the square distance shouldnt be a constant",
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"timestamp": "08/02/2022 06:52:52",
"content": "it should depend on something",
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"timestamp": "08/02/2022 06:53:12",
"content": "probably grow with b, for sure",
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"timestamp": "08/02/2022 06:53:38",
"content": "**jan Niku**",
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"author_name": "nered",
"timestamp": "08/02/2022 07:00:53",
"content": "How does it come to that conclusion tho.",
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"id": 1003981029301817300,
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"timestamp": "08/02/2022 07:02:10",
"content": "it?",
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"author_name": "nered",
"timestamp": "08/02/2022 07:02:29",
"content": "Wolfram alfa and in your case",
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"id": 1003981166438777000,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "08/02/2022 07:02:43",
"content": "by taking the partial derivative?",
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"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "08/02/2022 07:02:48",
"content": "im not sure what you mean",
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"author_name": "nered",
"timestamp": "08/02/2022 07:02:53",
"content": "`d/db (y - mx + b)^2 ` first step is to do the derivative of the outer part which becomes: `2(y - mx + b)` in respect to b are the **y** and **mx** not constants and thus should be 0 ?",
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"timestamp": "08/02/2022 07:03:25",
"content": "compare like",
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"id": 1003981402678771700,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "08/02/2022 07:03:39",
"content": ",w partial derivative with respect to x: (x+y)",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/02/2022 07:03:40",
"content": "Results provided by WolframAlpha",
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"id": 1003981459444482200,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "08/02/2022 07:03:53",
"content": ",w partial derivative with respect to x: (x+y)^2",
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},
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"id": 1003981475722575900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/02/2022 07:03:56",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
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"id": 1003981502297669800,
"author_id": 331558346333224960,
"author_name": "jan Niku",
"timestamp": "08/02/2022 07:04:03",
"content": "compare these two answers",
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"id": 1003981566566998000,
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"author_name": "jan Niku",
"timestamp": "08/02/2022 07:04:18",
"content": "a function composition is going to get in the way of the 'constant' thing youre referring to i think",
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"id": 1003981647085043800,
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"author_name": "jan Niku",
"timestamp": "08/02/2022 07:04:37",
"content": "well, at least in the case of whats buried inside the composition",
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},
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"id": 1003981825682702500,
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"author_name": "jan Niku",
"timestamp": "08/02/2022 07:05:20",
"content": "so in general $\\pdv x f(x,y) \\neq \\pdv x f(x,0)$",
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"id": 1003981961246810100,
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"timestamp": "08/02/2022 07:05:52",
"content": "**jan Niku**",
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"timestamp": "08/02/2022 07:06:00",
"content": "does that make any sense? @nered",
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"timestamp": "08/02/2022 07:17:48",
"content": "I think I have to redo derivatives anyway.",
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"id": 1003984992034095100,
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"author_name": "nered",
"timestamp": "08/02/2022 07:17:55",
"content": "I don't get it 😄",
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"author_name": "Mathematics Bot",
"timestamp": "08/02/2022 07:32:55",
"content": "@nered Has your question been resolved?",
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"timestamp": "08/02/2022 07:33:01",
"content": "Channel closed",
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}
] |
help-9
|
59e303fcf44a4138946e9186734210bb
|
197,591 |
[
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"author_name": "Mathematics Bot",
"timestamp": "08/02/2022 07:34:02",
"content": "Available help channel!",
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},
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"id": 1003992565160366200,
"author_id": 774316224724598800,
"author_name": "mo.sy",
"timestamp": "08/02/2022 07:48:00",
"content": "Can someone help me with this question?",
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"author_name": "Mathematics Bot",
"timestamp": "08/02/2022 07:48:01",
"content": "Pinned a message.",
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"id": 1003993261293191200,
"author_id": 463266619049902100,
"author_name": "dark",
"timestamp": "08/02/2022 07:50:46",
"content": "first things first",
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"author_name": "Lvn",
"timestamp": "08/02/2022 07:51:03",
"content": "use lebenitz ( easier method )",
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"author_name": "mo.sy",
"timestamp": "08/02/2022 07:51:14",
"content": "should I do like that",
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"author_name": "Lvn",
"timestamp": "08/02/2022 07:51:21",
"content": "yea",
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"author_name": "Lvn",
"timestamp": "08/02/2022 07:51:39",
"content": "same for the 2nd expression",
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},
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"id": 1003993573034827900,
"author_id": 774316224724598800,
"author_name": "mo.sy",
"timestamp": "08/02/2022 07:52:01",
"content": "oh okey this method is right",
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"id": 1003993753826107400,
"author_id": 463266619049902100,
"author_name": "dark",
"timestamp": "08/02/2022 07:52:44",
"content": "wait can the boundaries be simplified?",
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},
{
"id": 1003993910755991600,
"author_id": 463266619049902100,
"author_name": "dark",
"timestamp": "08/02/2022 07:53:21",
"content": "since -x² to x³... x³ to x² implies -x² to x²?",
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},
{
"id": 1003994482930356400,
"author_id": 463266619049902100,
"author_name": "dark",
"timestamp": "08/02/2022 07:55:38",
"content": "$\\int_{a}^{b}f(x)dx+\\int_{b}^{c}f(x)dx=\\int_{a}^{c}f(x)dx$",
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"timestamp": "08/02/2022 07:55:40",
"content": "**dark**",
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"id": 1003994565017079900,
"author_id": 463266619049902100,
"author_name": "dark",
"timestamp": "08/02/2022 07:55:57",
"content": "does it only apply to constants?",
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"id": 1003994632524419100,
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"author_name": "Lvn",
"timestamp": "08/02/2022 07:56:13",
"content": "yea",
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},
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"timestamp": "08/02/2022 07:56:35",
"content": "right this makes it easier to solve",
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"timestamp": "08/02/2022 07:56:47",
"content": "but be careful since you have variables",
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"timestamp": "08/02/2022 07:56:53",
"content": "I don't know about that but i have to swap them in the second integral ig",
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"timestamp": "08/02/2022 07:57:26",
"content": "hm k",
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"author_name": "mo.sy",
"timestamp": "08/02/2022 07:57:33",
"content": "so can I apply this method",
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"author_name": "dark",
"timestamp": "08/02/2022 07:57:59",
"content": "idk wait for someone who knows for sure or go with the flow xd",
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"timestamp": "08/02/2022 07:58:32",
"content": "oh okey thanks",
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"id": 1003995350127878300,
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"timestamp": "08/02/2022 07:59:04",
"content": "wlcm",
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"timestamp": "08/02/2022 08:13:32",
"content": "@mo.sy Has your question been resolved?",
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"timestamp": "08/02/2022 08:13:44",
"content": "Channel closed",
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}
] |
help-9
|
1078f13ef9de425f919fbfba27f366b9
|
197,592 |
[
{
"id": 1003999292245164000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/02/2022 08:14:44",
"content": "Available help channel!",
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},
{
"id": 1004001994953982100,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:25:29",
"content": "A triangle has 3 sides, with the ratios of the sides being 5:12:113, what is the length of each side of the triangle?",
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"timestamp": "08/02/2022 08:25:29",
"content": "Pinned a message.",
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"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/02/2022 08:27:05",
"content": "did you copy down the question properly",
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},
{
"id": 1004002418666774500,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:27:10",
"content": "no",
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},
{
"id": 1004002494877286500,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:27:28",
"content": "sorry",
"attachments": [],
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},
{
"id": 1004002501487513600,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:27:29",
"content": "its this",
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},
{
"id": 1004002503219740800,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:27:30",
"content": "the lengths of a triangle are in the ratio 5:12:113, if the perimeter of the triangle is 36cm, what is the length of each side?",
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},
{
"id": 1004002616172351500,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/02/2022 08:27:57",
"content": "it's not possible for the lengths to be in the ratio you wrote",
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},
{
"id": 1004002651840708700,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:28:05",
"content": "why not?",
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},
{
"id": 1004002880212176900,
"author_id": 712222770322210800,
"author_name": "jasoon",
"timestamp": "08/02/2022 08:29:00",
"content": "yeah it's not possible",
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},
{
"id": 1004002880400924700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 08:29:00",
"content": "they violate the triangle inequality.",
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},
{
"id": 1004002903792554100,
"author_id": 712222770322210800,
"author_name": "jasoon",
"timestamp": "08/02/2022 08:29:05",
"content": "one leg is too long",
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},
{
"id": 1004003008989900800,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:29:30",
"content": "Damn alright",
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},
{
"id": 1004003025058275300,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:29:34",
"content": "What if the ratios were",
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"timestamp": "08/02/2022 08:29:38",
"content": "5:6:12",
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"timestamp": "08/02/2022 08:29:42",
"content": "still impossible",
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"author_id": 712222770322210800,
"author_name": "jasoon",
"timestamp": "08/02/2022 08:29:46",
"content": "it should be 5 12 13",
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"author_name": "jasoon",
"timestamp": "08/02/2022 08:29:53",
"content": "or something similar",
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"id": 1004003122965921800,
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"author_name": "Shah",
"timestamp": "08/02/2022 08:29:57",
"content": "Ok",
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"id": 1004003143341842600,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:30:02",
"content": "how about for 5:12:13",
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"id": 1004003255241674800,
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"author_name": "jasoon",
"timestamp": "08/02/2022 08:30:29",
"content": "as long as any two sides add up to more than the third that's a valid triangle",
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"author_name": "Shah",
"timestamp": "08/02/2022 08:30:57",
"content": "Ok, how do I solve for this: \n\nthe lengths of a triangle are in the ratio 5:12:13, if the perimeter of the triangle is 36cm, what is the length of each side?",
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"author_name": "ramonov",
"timestamp": "08/02/2022 08:31:42",
"content": "you could represent the lengths as\n5x,12x,13x\nfind the perimeter in terms of x\nequate that to given numerical value and solve for x",
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"author_name": "ramonov",
"timestamp": "08/02/2022 08:32:00",
"content": "and hence determine the length of each side",
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"author_name": "Shah",
"timestamp": "08/02/2022 08:32:20",
"content": "5x + 12x + 13x = 36\n\n30x = 36 \n\nx = 1.2",
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"author_name": "Shah",
"timestamp": "08/02/2022 08:32:27",
"content": "What is X exactly tho",
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"author_name": "Ann",
"timestamp": "08/02/2022 08:32:31",
"content": "5x + 12x + 13x is not 20x",
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"id": 1004003771917013100,
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"author_name": "Shah",
"timestamp": "08/02/2022 08:32:32",
"content": "like out of the ratios",
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"author_name": "Shah",
"timestamp": "08/02/2022 08:32:38",
"content": "my bad",
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"id": 1004003812933128200,
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"author_name": "Shah",
"timestamp": "08/02/2022 08:32:42",
"content": "I am having a brain fart lmao",
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"id": 1004003954859970700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 08:33:16",
"content": "the sides of your triangle are made up of equal parts, such that one of the sides gets 5 parts, another side gets 12 parts and the third gets 13 parts",
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"id": 1004003968659247100,
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"author_name": "Ann",
"timestamp": "08/02/2022 08:33:19",
"content": "x is the size of one part",
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"author_name": "Ann",
"timestamp": "08/02/2022 08:33:38",
"content": "note that it would still be possible to number-crunch this problem even with the impossible triangle ratios. you could still plug-and-chug and get a bullshit answer",
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"id": 1004004153569312800,
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"author_name": "Shah",
"timestamp": "08/02/2022 08:34:03",
"content": "Alright",
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"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:34:38",
"content": "but hdwk which?",
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"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:34:54",
"content": "Since the triangle sides should be different sides???",
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"id": 1004004380393095200,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:34:57",
"content": "lengths*",
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"id": 1004004537994055700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/02/2022 08:35:35",
"content": "hdwk?",
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"id": 1004004548202991700,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 08:35:37",
"content": "what do you mean, \"how do we know which\"",
"attachments": [],
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"id": 1004004560580386800,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:35:40",
"content": "how do we know",
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"id": 1004004588933873700,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:35:47",
"content": "What side ratio is x",
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"id": 1004004622614134900,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:35:55",
"content": "like out of the 3 ratios",
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"id": 1004004666687889400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 08:36:06",
"content": "x isn't the ratio of any two of the three sides...",
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"id": 1004004679375667300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 08:36:09",
"content": "x is just x",
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"id": 1004004712691023900,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:36:17",
"content": "x is a length right?",
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"id": 1004004713387266200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 08:36:17",
"content": "it's one-fifth of the side corresponding to 5",
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"id": 1004004743594655900,
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"author_name": "Shah",
"timestamp": "08/02/2022 08:36:24",
"content": "oh alright",
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"id": 1004004747814109200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 08:36:25",
"content": "it is also one-twelfth of the side corresponding to 12",
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"id": 1004004753770037200,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/02/2022 08:36:26",
"content": "5x,\n12x,\n13x,\nare the lengths of the three sides",
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"id": 1004004777107132500,
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"author_name": "Ann",
"timestamp": "08/02/2022 08:36:32",
"content": "and one-thirteenth of the side corresponding to 13",
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},
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"id": 1004004801354416100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/02/2022 08:36:38",
"content": "(in terms of x)",
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"id": 1004004832857837700,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:36:45",
"content": "I see",
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"id": 1004004842357928100,
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"author_name": "Shah",
"timestamp": "08/02/2022 08:36:47",
"content": "so to get x",
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"id": 1004004880207319000,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:36:56",
"content": "we multiply by the numbers",
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"id": 1004004888931471400,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:36:59",
"content": "not x sorry",
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"id": 1004004900641984600,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:37:01",
"content": "the lengths",
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"id": 1004004921294725100,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/02/2022 08:37:06",
"content": "too vague",
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},
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"id": 1004004940596912300,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:37:11",
"content": "As in",
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},
{
"id": 1004004948389920900,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:37:13",
"content": "5 x 1.2",
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},
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"id": 1004004969353056300,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:37:18",
"content": "13 x 1.2",
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},
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"id": 1004004978240798700,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:37:20",
"content": "12 x 1.2",
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},
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"id": 1004005015700123600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 08:37:29",
"content": "don't use the letter x for multiplication",
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},
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"id": 1004005046360481800,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:37:36",
"content": "alright ill use *",
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"id": 1004005080099471400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 08:37:44",
"content": "but yes, the sides themselves are **5\\*1.2, 12\\*1.2 and 13\\*1.2**",
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"id": 1004005112743723000,
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"author_name": "Shah",
"timestamp": "08/02/2022 08:37:52",
"content": "Alright thank you mateos!",
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"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/02/2022 08:37:59",
"content": "(especially not if the variable x is being used)",
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"id": 1004005179999404200,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:38:08",
"content": "btw do youz know what a waga waga is ?",
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"id": 1004005198601146400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 08:38:12",
"content": "no",
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"id": 1004005241085235200,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:38:22",
"content": "Waga waga!",
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},
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"id": 1004005251482927100,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:38:25",
"content": ".close",
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},
{
"id": 1004005252908978200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/02/2022 08:38:25",
"content": "Channel closed",
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}
] |
help-9
|
952230cf1ff1419bb2b670b65a9ce80f
|
197,593 |
[
{
"id": 959490496831566000,
"author_id": 603268450479243300,
"author_name": "-SomeRandomChild-",
"timestamp": "04/01/2022 12:32:40",
"content": ".close",
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},
{
"id": 959490521288564900,
"author_id": 603268450479243300,
"author_name": "-SomeRandomChild-",
"timestamp": "04/01/2022 12:32:46",
"content": "lol",
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},
{
"id": 959490537906397200,
"author_id": 747632494265893100,
"author_name": "Silo_StarNight",
"timestamp": "04/01/2022 12:32:50",
"content": ".close",
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},
{
"id": 959490556403257300,
"author_id": 747632494265893100,
"author_name": "Silo_StarNight",
"timestamp": "04/01/2022 12:32:55",
"content": "lol",
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{
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"timestamp": "04/01/2022 12:32:56",
"content": "xD",
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},
{
"id": 959491802564558800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 12:37:52",
"content": "Available help channel!",
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},
{
"id": 959503094587207700,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/01/2022 13:22:44",
"content": "no idea how to do this",
"attachments": [
{
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"timestamp": "04/01/2022 13:22:44",
"content": "Pinned a message.",
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{
"id": 959504301150064600,
"author_id": 550652464429400060,
"author_name": "ABHAS",
"timestamp": "04/01/2022 13:27:32",
"content": "So 8 = 2^3",
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},
{
"id": 959504329360949200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/01/2022 13:27:38",
"content": "ok",
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},
{
"id": 959504371698237400,
"author_id": 550652464429400060,
"author_name": "ABHAS",
"timestamp": "04/01/2022 13:27:48",
"content": "I guess that's enough",
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},
{
"id": 959504435581685900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/01/2022 13:28:04",
"content": "that doesn't make it any easier",
"attachments": [],
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},
{
"id": 959504473330442200,
"author_id": 550652464429400060,
"author_name": "ABHAS",
"timestamp": "04/01/2022 13:28:13",
"content": "Bruhh",
"attachments": [],
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},
{
"id": 959504489440747500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/01/2022 13:28:17",
"content": "it becomes (2^3)^52 doesn't it",
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},
{
"id": 959504509292388400,
"author_id": 550652464429400060,
"author_name": "ABHAS",
"timestamp": "04/01/2022 13:28:21",
"content": "Yup",
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{
"id": 959504532465913900,
"author_id": 550652464429400060,
"author_name": "ABHAS",
"timestamp": "04/01/2022 13:28:27",
"content": "Go ahead",
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},
{
"id": 959504602544361500,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/01/2022 13:28:43",
"content": "...2^156 ?",
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},
{
"id": 959504624296009700,
"author_id": 550652464429400060,
"author_name": "ABHAS",
"timestamp": "04/01/2022 13:28:49",
"content": "Yup",
"attachments": [],
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{
"id": 959504641022894100,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/01/2022 13:28:53",
"content": "what do I do from there then",
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},
{
"id": 959504689773310000,
"author_id": 550652464429400060,
"author_name": "ABHAS",
"timestamp": "04/01/2022 13:29:04",
"content": "5*2",
"attachments": [],
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},
{
"id": 959504719380873300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/01/2022 13:29:11",
"content": "huh",
"attachments": [],
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},
{
"id": 959504729984094200,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/01/2022 13:29:14",
"content": "I don't understand",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 959504772262670300,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/01/2022 13:29:24",
"content": "OOOOHHH",
"attachments": [],
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},
{
"id": 959504792860901400,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/01/2022 13:29:29",
"content": "damn",
"attachments": [],
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},
{
"id": 959504804781117600,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/01/2022 13:29:32",
"content": "that was very dumb",
"attachments": [],
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},
{
"id": 959504903733149700,
"author_id": 550652464429400060,
"author_name": "ABHAS",
"timestamp": "04/01/2022 13:29:55",
"content": ":infty1category:",
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},
{
"id": 959505087892426900,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/01/2022 13:30:39",
"content": "lol",
"attachments": [],
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},
{
"id": 959505091549868000,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "04/01/2022 13:30:40",
"content": ".close",
"attachments": [],
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},
{
"id": 959505093466660900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 13:30:41",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
78851a713aa54a6899ce8213dcc4f51c
|
197,594 |
[
{
"id": 1004005265307336800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 08:38:28",
"content": "no, we don't know what that means.",
"attachments": [],
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"reference": null
},
{
"id": 1004005280331346000,
"author_id": 816599712441827300,
"author_name": "Shah",
"timestamp": "08/02/2022 08:38:32",
"content": "Thanks mateos as always",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004005506676953200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/02/2022 08:39:26",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1004006139895218300,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:41:57",
"content": "The area of a nature park is 32km^2. On a map, it is represented by an are aof 200 cm^2.\nThe scale of the map is 1 : n. Show that the value of n is 40,000.",
"attachments": [],
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},
{
"id": 1004006141380006000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/02/2022 08:41:57",
"content": "Pinned a message.",
"attachments": [],
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"messageId": 1004006139895218300,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1004006234900418700,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:42:19",
"content": "How do you do this? I tried taking 3.2million(32 x 100,000) / 200 but that got me 16,000 not 40,000",
"attachments": [],
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},
{
"id": 1004006281771757700,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:42:31",
"content": "I also tried squaring it but the number was way too big",
"attachments": [],
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},
{
"id": 1004006734953730000,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:44:19",
"content": "for scale in area u square it",
"attachments": [],
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},
{
"id": 1004006771247026200,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:44:27",
"content": "so it would be 1^2:n^2",
"attachments": [],
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},
{
"id": 1004006838146191500,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:44:43",
"content": "also conversion for ur km is wrong",
"attachments": [],
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},
{
"id": 1004006874787623000,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:44:52",
"content": "oh?",
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},
{
"id": 1004006974171656300,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:45:16",
"content": "isn't it 1 : 100,000",
"attachments": [],
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},
{
"id": 1004006989136920700,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:45:19",
"content": "for a cm to km ratio",
"attachments": [],
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},
{
"id": 1004007049467797500,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:45:34",
"content": "cm to m is 10000",
"attachments": [],
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},
{
"id": 1004007068589637600,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:45:38",
"content": "huh",
"attachments": [],
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},
{
"id": 1004007083626221600,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:45:42",
"content": "that is mm isnt it",
"attachments": [],
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},
{
"id": 1004007097098305500,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:45:45",
"content": "thats mm to m",
"attachments": [],
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},
{
"id": 1004007144795943000,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:45:56",
"content": "100 cm is 1 metre isnt it",
"attachments": [],
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},
{
"id": 1004007177951903700,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:46:04",
"content": "wait mb",
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},
{
"id": 1004007198495621200,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:46:09",
"content": "cm^2 to m^2",
"attachments": [],
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},
{
"id": 1004007213486063600,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:46:13",
"content": "is 10000",
"attachments": [],
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},
{
"id": 1004007221392326800,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:46:15",
"content": "ah okay",
"attachments": [],
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},
{
"id": 1004007240744837100,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:46:19",
"content": "bc 100 times 100",
"attachments": [],
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},
{
"id": 1004007257941495900,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:46:23",
"content": "ah got it",
"attachments": [],
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"reference": null
},
{
"id": 1004007485050462200,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:47:17",
"content": "so its 200cm to 32million cm?",
"attachments": [],
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},
{
"id": 1004007595100618800,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:47:44",
"content": "not quite",
"attachments": [],
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},
{
"id": 1004007649974681700,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:47:57",
"content": "from m^2 to km^2",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004007715737178100,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:48:12",
"content": "u also have to remember that it is 1000 times 1000",
"attachments": [],
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},
{
"id": 1004007719684034700,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:48:13",
"content": "oh a million?",
"attachments": [],
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},
{
"id": 1004007785471680500,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:48:29",
"content": "because area is 2 dimensional",
"attachments": [],
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},
{
"id": 1004007827066605700,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:48:39",
"content": "so its 10^11?",
"attachments": [],
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},
{
"id": 1004007975129714800,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:49:14",
"content": "oh 1 to the power of 10*10",
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},
{
"id": 1004008012622606300,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:49:23",
"content": "10^10",
"attachments": [],
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},
{
"id": 1004008048802668500,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:49:32",
"content": "10^4 + 10^6",
"attachments": [],
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},
{
"id": 1004008057904316400,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:49:34",
"content": "mhm",
"attachments": [],
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},
{
"id": 1004008218365788200,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/02/2022 08:50:12",
"content": "10^4 + 10^6 is not 10^10.",
"attachments": [],
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},
{
"id": 1004008238347468800,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:50:17",
"content": "what happens when you get that number? is it 3.2 * 10^10 /200",
"attachments": [],
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},
{
"id": 1004008266759676000,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:50:24",
"content": "10^ 4 * 10^6 i think he meant it like that",
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},
{
"id": 1004008314859954300,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:50:35",
"content": "mb times",
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"id": 1004008400469893100,
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"author_name": "Mothy",
"timestamp": "08/02/2022 08:50:56",
"content": "mhm",
"attachments": [],
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"id": 1004008530799497200,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:51:27",
"content": "oh i mean 3.2 * 10^11 / 200 \nand sqrt of that answer",
"attachments": [],
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},
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"id": 1004008611825074200,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:51:46",
"content": "na 10^10",
"attachments": [],
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},
{
"id": 1004008640103067600,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:51:53",
"content": "but isnt it 32km?",
"attachments": [],
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},
{
"id": 1004008653856190600,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:51:56",
"content": "yep",
"attachments": [],
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},
{
"id": 1004008684487200900,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:52:03",
"content": "what do u have on the RHS",
"attachments": [],
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},
{
"id": 1004008703785193500,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:52:08",
"content": "RHS?",
"attachments": [],
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},
{
"id": 1004008728502214800,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:52:14",
"content": "right hand side of your ratio",
"attachments": [],
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},
{
"id": 1004008760227922000,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:52:22",
"content": "a 200 right?",
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},
{
"id": 1004008771070201900,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:52:24",
"content": "yeah",
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},
{
"id": 1004008784596840600,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:52:27",
"content": "200 cm",
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},
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"id": 1004008804570124300,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:52:32",
"content": "so u simplify first",
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"id": 1004008820315521200,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:52:36",
"content": "cm^2",
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"id": 1004008855568650200,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:52:44",
"content": "yeah",
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},
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"id": 1004008895137714200,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:52:54",
"content": "u can rewrite 200 as 2*10^2",
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},
{
"id": 1004009211585372300,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:54:09",
"content": "do i need to close before asking another question?",
"attachments": [],
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},
{
"id": 1004009320196882400,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:54:35",
"content": "na",
"attachments": [],
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},
{
"id": 1004009345643728900,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:54:41",
"content": "1,5,11,19,29 ... q \nexpress q in terms of n",
"attachments": [],
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},
{
"id": 1004009371988148200,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:54:47",
"content": "how would you do this? i have no idea on how to start at all",
"attachments": [],
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},
{
"id": 1004009418586857500,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:54:58",
"content": "i asked a friend whose math is much better than mine and he couldn't do it too",
"attachments": [],
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},
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"id": 1004009822733221900,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:56:35",
"content": "what is n referring to",
"attachments": [],
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},
{
"id": 1004010134332264600,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:57:49",
"content": "uhh hold on i'll get a picture",
"attachments": [],
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},
{
"id": 1004010170319380500,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:57:58",
"content": "kk",
"attachments": [],
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},
{
"id": 1004010227265446000,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:58:11",
"content": "between 5 and 1 is 4",
"attachments": [],
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},
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"id": 1004010247297441800,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:58:16",
"content": "between 11 and 5 is 6",
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},
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"id": 1004010291601883100,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:58:27",
"content": "between 19 and 11 is 8",
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},
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"author_name": "Vext",
"timestamp": "08/02/2022 08:58:30",
"content": "",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1004010303043948594/IMG_5626.jpg",
"fileName": "IMG_5626.jpg",
"fileSizeBytes": 500648
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"id": 1004010333842722800,
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"timestamp": "08/02/2022 08:58:37",
"content": "yeah and then 10",
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},
{
"id": 1004010350632509400,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 08:58:41",
"content": "mhm",
"attachments": [],
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},
{
"id": 1004010359235018900,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:58:43",
"content": "i got that part down but im not sure how to express it",
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},
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"id": 1004010416512454700,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 08:58:56",
"content": "the question is just \"Express q in terms of n\"",
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"id": 1004010482442719400,
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"author_name": "Vext",
"timestamp": "08/02/2022 08:59:12",
"content": "i got the p part down not sure how to do q though",
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"timestamp": "08/02/2022 09:04:26",
"content": "n+1=(q*(q-1))-1",
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"timestamp": "08/02/2022 09:04:28",
"content": "i think",
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"content": "idk",
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"author_name": "Vext",
"timestamp": "08/02/2022 09:06:53",
"content": "okay im not very sure either",
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},
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"id": 1004012510741024900,
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"author_name": "Mothy",
"timestamp": "08/02/2022 09:07:16",
"content": "switch the n and the q",
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"id": 1004012583671574500,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 09:07:33",
"content": "my brain is. fried",
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"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 09:07:45",
"content": "is the question hard?",
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"id": 1004012726596669400,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 09:08:07",
"content": "i havent done much of these types of questions so for me yea",
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"id": 1004012767075901600,
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"author_name": "Vext",
"timestamp": "08/02/2022 09:08:17",
"content": "if its q+1 cant you bring it over to the other side?",
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"id": 1004012805076291700,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 09:08:26",
"content": "like q = (n*(n-1))-2",
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"id": 1004012925134057600,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 09:08:55",
"content": "so i know that (n times (n-1)) -1 is equal to the previous rows last element",
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"id": 1004012978808574100,
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"author_name": "Mothy",
"timestamp": "08/02/2022 09:09:07",
"content": "ignore that. bit",
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"id": 1004013043723808900,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 09:09:23",
"content": "alright",
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},
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"id": 1004013238045917300,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 09:10:09",
"content": "tried to use the formula but it didnt work",
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},
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"id": 1004013333025915000,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 09:10:32",
"content": "let us try w 4",
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},
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"id": 1004013384087375900,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 09:10:44",
"content": "4 times 3-1",
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},
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"id": 1004013394971611100,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 09:10:47",
"content": "is 11 right?",
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"id": 1004013419646693400,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 09:10:52",
"content": "yeah",
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},
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"id": 1004013437480878200,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 09:10:57",
"content": "and that is the previous rows",
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},
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"id": 1004013452446154900,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 09:11:00",
"content": "last number",
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},
{
"id": 1004013498394742800,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 09:11:11",
"content": "wait where did 3 come from?",
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},
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"id": 1004013515276828800,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 09:11:15",
"content": "isnt it n-1?",
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},
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"id": 1004013535363354800,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 09:11:20",
"content": "so 1 is constant throughout",
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},
{
"id": 1004013556980781000,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 09:11:25",
"content": "mhm",
"attachments": [],
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},
{
"id": 1004013613905875100,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 09:11:39",
"content": "i typed it wrong",
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},
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"id": 1004013626035818500,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 09:11:42",
"content": "ah okay",
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},
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"id": 1004013685137735700,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 09:11:56",
"content": "make sense now",
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},
{
"id": 1004013711079510100,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 09:12:02",
"content": "tried with 5 as well and it worked but its for the previous row",
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},
{
"id": 1004013730801123300,
"author_id": 275460309345370100,
"author_name": "Vext",
"timestamp": "08/02/2022 09:12:07",
"content": "tysm!",
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},
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"id": 1004013943213273200,
"author_id": 722220038052118700,
"author_name": "Mothy",
"timestamp": "08/02/2022 09:12:57",
"content": "np",
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},
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"id": 1004017506652004500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/02/2022 09:27:07",
"content": "@Vext Has your question been resolved?",
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"id": 1004017590869434500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/02/2022 09:27:27",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
5a24fcc592704b6b9bc7dc0bea1fd339
|
197,595 |
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"id": 1004043893630844900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/02/2022 11:11:58",
"content": "Available help channel!",
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},
{
"id": 1004044091035766800,
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"author_name": "TimOn",
"timestamp": "08/02/2022 11:12:45",
"content": "Hello so for this question",
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"content": "Pinned a message.",
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"timestamp": "08/02/2022 11:13:36",
"content": "Iv come this far",
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"timestamp": "08/02/2022 11:13:36",
"content": "Buut i have no idea where to take it from here",
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{
"id": 1004045001627553900,
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"timestamp": "08/02/2022 11:16:22",
"content": "$a^{-\\frac12}$ is $\\frac{1}{\\sqrt{a}}$",
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"content": "**jasoon**",
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"content": "Oh",
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"author_name": "TimOn",
"timestamp": "08/02/2022 11:18:52",
"content": "Well it does make things easier but i still dont know what to do from there",
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"timestamp": "08/02/2022 11:20:25",
"content": "If i write it as",
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"id": 1004046580871082200,
"author_id": 724160139346575400,
"author_name": "TimOn",
"timestamp": "08/02/2022 11:22:39",
"content": "$\\frac {\\sqrt a - \\sqrt b}{\\sqrt a + \\sqrt b} * \\frac {\\sqrt a^-1 + \\sqrt b^-1}{\\sqrt a^-1 - \\sqrt b^-1}",
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"timestamp": "08/02/2022 11:23:37",
"content": "$\\frac {\\sqrt a - \\sqrt b}{\\sqrt a + \\sqrt b} * \\frac {\\sqrt a^-1 + \\sqrt b^-1}{\\sqrt a^-1 - \\sqrt b^-1}$",
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"timestamp": "08/02/2022 11:23:39",
"content": "**TimOn**",
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"timestamp": "08/02/2022 11:23:53",
"content": "Lets pretend thats power of negative 1",
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"timestamp": "08/02/2022 11:24:10",
"content": "Do they cancel out?",
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"id": 1004048292893708300,
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"timestamp": "08/02/2022 11:29:27",
"content": "$a^{-1}$",
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"timestamp": "08/02/2022 11:29:29",
"content": "**Ann**",
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"content": "this is how you type negative powers",
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"id": 1004048334127890600,
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"timestamp": "08/02/2022 11:29:37",
"content": "or powers longer than one symbol",
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"timestamp": "08/02/2022 11:32:44",
"content": "i got the answer 1 if I used properties of proportion from here",
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"author_name": "Meatball.",
"timestamp": "08/02/2022 11:34:05",
"content": "but I am.... like very junior at maths so excuse if i am wrong",
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"timestamp": "08/02/2022 11:34:05",
"content": "$\\frac {\\sqrt a - \\sqrt b}{\\sqrt a + \\sqrt b} * \\frac {\\sqrt a^{-1} + \\sqrt b^{-1}}{\\sqrt a^{-1} - \\sqrt b^{-1}}$",
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"timestamp": "08/02/2022 11:34:07",
"content": "**TimOn**",
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"timestamp": "08/02/2022 11:34:33",
"content": "I wonder if that cancels out to 1?",
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"timestamp": "08/02/2022 11:34:48",
"content": "I'm highschool",
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"timestamp": "08/02/2022 11:34:52",
"content": "me too",
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"content": ":YouAreBreathtaking:",
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"timestamp": "08/02/2022 11:35:01",
"content": "yeah",
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"timestamp": "08/02/2022 11:37:16",
"content": "What's that",
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"timestamp": "08/02/2022 11:37:33",
"content": "I might just not know the name of it",
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"author_name": "Meatball.",
"timestamp": "08/02/2022 11:37:56",
"content": "ohh actually, we dont use that here",
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"timestamp": "08/02/2022 11:38:06",
"content": "i didnt notice it was multiply sign",
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"author_name": "Meatball.",
"timestamp": "08/02/2022 11:38:14",
"content": "i thought it was equal to",
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"timestamp": "08/02/2022 11:38:19",
"content": "Nope",
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"author_name": "Meatball.",
"timestamp": "08/02/2022 11:38:26",
"content": "if it would be equal to properties of proportion would have worked easily",
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"timestamp": "08/02/2022 11:40:35",
"content": "@TimOn if you dont mind me askin, which chapter does this question come from?",
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"timestamp": "08/02/2022 11:48:27",
"content": "Idk",
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"timestamp": "08/02/2022 11:48:41",
"content": "Some university entrance level or something",
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"timestamp": "08/02/2022 11:49:32",
"content": "Should i ping help since i haven't gotten a decisive answer for my question",
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"timestamp": "08/02/2022 11:51:22",
"content": "Basically where i am at",
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"timestamp": "08/02/2022 11:52:34",
"content": "I put some values in place of a and b",
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"content": "I took 4 = a b=9",
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"timestamp": "08/02/2022 11:52:53",
"content": "The answer i got was -1",
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"timestamp": "08/02/2022 11:53:48",
"content": "I took a=7 b=13 and the answer is -1",
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"timestamp": "08/02/2022 11:54:54",
"content": "I took a=2 b=293 and got -1",
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"timestamp": "08/02/2022 11:55:00",
"content": "-1 must the answer",
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"author_name": "TimOn",
"timestamp": "08/02/2022 11:55:09",
"content": "Would appreciate if anyone could confirm",
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"author_name": "TimOn",
"timestamp": "08/02/2022 11:55:14",
"content": "https://media.discordapp.net/attachments/486844875632017408/1004044090364657766/IMG_20220802_181116.jpg",
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"author_name": "Meatball.",
"timestamp": "08/02/2022 12:03:07",
"content": "I continued from where u left off",
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"author_name": "Meatball.",
"timestamp": "08/02/2022 12:04:00",
"content": "Now this might not be the correct way to do it",
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"author_name": "Meatball.",
"timestamp": "08/02/2022 12:04:10",
"content": "But yes the answer i get is -1",
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"author_name": "TimOn",
"timestamp": "08/02/2022 12:06:02",
"content": ":imouto_question:",
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"id": 1004057618333057200,
"author_id": 724160139346575400,
"author_name": "TimOn",
"timestamp": "08/02/2022 12:06:30",
"content": "How did it go from 2over root a to 2√a",
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},
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"id": 1004057775854330000,
"author_id": 716323270982631400,
"author_name": "Meatball.",
"timestamp": "08/02/2022 12:07:08",
"content": "if you continue from here it will cancel out to -1",
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"author_id": 716323270982631400,
"author_name": "Meatball.",
"timestamp": "08/02/2022 12:07:20",
"content": "we use properties of proportion as I said before",
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"author_name": "TimOn",
"timestamp": "08/02/2022 12:07:45",
"content": "But what about the power of -1 :ConfusedGirl:",
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"id": 1004058031321006200,
"author_id": 716323270982631400,
"author_name": "Meatball.",
"timestamp": "08/02/2022 12:08:09",
"content": "n^-1 = 1/n",
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"author_name": "Meatball.",
"timestamp": "08/02/2022 12:08:15",
"content": "by the rule of negative exponents",
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"timestamp": "08/02/2022 12:10:13",
"content": "whatever",
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"author_id": 716323270982631400,
"author_name": "Meatball.",
"timestamp": "08/02/2022 12:11:33",
"content": "",
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"id": 1004059108053352400,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "08/02/2022 12:12:25",
"content": "b in the 5th rule shouldnt be 0",
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"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "08/02/2022 12:12:47",
"content": "And a in the 6th and 7th rule shouldnt be 0",
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},
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"id": 1004059922574614700,
"author_id": 724160139346575400,
"author_name": "TimOn",
"timestamp": "08/02/2022 12:15:40",
"content": "my question now is:",
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},
{
"id": 1004060904201138300,
"author_id": 724160139346575400,
"author_name": "TimOn",
"timestamp": "08/02/2022 12:19:34",
"content": "how is my mobile data so slow",
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},
{
"id": 1004060956051128400,
"author_id": 724160139346575400,
"author_name": "TimOn",
"timestamp": "08/02/2022 12:19:46",
"content": "i started uplaoding the image 5 minutes ago and it has yet to come",
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},
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"id": 1004061152139018400,
"author_id": 724160139346575400,
"author_name": "TimOn",
"timestamp": "08/02/2022 12:20:33",
"content": "",
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"id": 1004061153594445800,
"author_id": 724160139346575400,
"author_name": "TimOn",
"timestamp": "08/02/2022 12:20:33",
"content": "If left is that then right is that?",
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},
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"id": 1004061780445777900,
"author_id": 724160139346575400,
"author_name": "TimOn",
"timestamp": "08/02/2022 12:23:03",
"content": "Alright i dont want to embarrass myself anymore",
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},
{
"id": 1004061794115010700,
"author_id": 724160139346575400,
"author_name": "TimOn",
"timestamp": "08/02/2022 12:23:06",
"content": ":NervousSweat:",
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},
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"id": 1004065570095902800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/02/2022 12:38:06",
"content": "@TimOn Has your question been resolved?",
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"timestamp": "08/02/2022 12:46:22",
"content": "Channel closed",
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}
] |
help-9
|
b77bdd075db44745ac904e6167f1b46d
|
197,596 |
[
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"timestamp": "08/02/2022 13:16:53",
"content": "Available help channel!",
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{
"id": 1004075452484288500,
"author_id": 756169651863683200,
"author_name": "1mp",
"timestamp": "08/02/2022 13:17:22",
"content": "Hi can I please have a hint for this problem: Prove $x=y=z=2$ is the only positive integer solution to the Diophantine equation $3^x+4^y=5^z$?\n\nive only so far proved that x and z are both even and rewritten equation as $(3^a)^2+(2^y)^2=(5^b)^2 .",
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"content": "Pinned a message.",
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"timestamp": "08/02/2022 13:17:26",
"content": "**moonblade**\nCompile Error! Click the :errors: reaction for more information.\n(You may edit your message to recompile.)",
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"content": "@1mp Has your question been resolved?",
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"content": "@Helpers",
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"timestamp": "08/02/2022 14:03:58",
"content": "@1mp Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
35172dbecc9d42c190740e13d80b81cc
|
197,597 |
[
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"id": 1004094982040330400,
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"timestamp": "08/02/2022 14:34:58",
"content": "Available help channel!",
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},
{
"id": 1004095448350458000,
"author_id": 722484394547478500,
"author_name": "algorithmsLover",
"timestamp": "08/02/2022 14:36:50",
"content": "anyone know the solution? + please explain",
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"content": "Pinned a message.",
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{
"id": 1004095713594069000,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "08/02/2022 14:37:53",
"content": "1 = (5/4)a^2",
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{
"id": 1004095742044012700,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "08/02/2022 14:38:00",
"content": "a is side of square",
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"id": 1004095810633486500,
"author_id": 714349425018929300,
"author_name": "Lvn",
"timestamp": "08/02/2022 14:38:16",
"content": "by using pythagorus theorm",
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},
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"id": 1004095924798243000,
"author_id": 722484394547478500,
"author_name": "algorithmsLover",
"timestamp": "08/02/2022 14:38:43",
"content": "where is the right angle?",
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"id": 1004096001512054900,
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"author_name": "Lvn",
"timestamp": "08/02/2022 14:39:01",
"content": "",
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"id": 1004096075411509400,
"author_id": 722484394547478500,
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"timestamp": "08/02/2022 14:39:19",
"content": "very thanks 😁",
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"timestamp": "08/02/2022 14:39:22",
"content": ".close",
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},
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"id": 1004096089357570200,
"author_id": 805217272087838700,
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"timestamp": "08/02/2022 14:39:22",
"content": "Channel closed",
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}
] |
help-9
|
121b436ee1d44f3894c38ae0a7104618
|
197,598 |
[
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"id": 1004097975045333100,
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"timestamp": "08/02/2022 14:46:52",
"content": "Available help channel!",
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},
{
"id": 1004100056405786800,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/02/2022 14:55:08",
"content": "how in the ever existing logic did this happen?",
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"content": "Pinned a message.",
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"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/02/2022 14:55:13",
"content": "the context is",
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"author_name": "lacertae",
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"timestamp": "08/02/2022 14:55:55",
"content": "express AM, BN, and CQ via a, b, and c of triangle ABC",
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"content": "BN+CN=BC",
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},
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"id": 1004100658863018100,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/02/2022 14:57:32",
"content": "which transforms into",
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{
"id": 1004100680967012400,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/02/2022 14:57:37",
"content": "c-x+b-x=a",
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},
{
"id": 1004100858977452000,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/02/2022 14:58:20",
"content": "2x=b+c-a",
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},
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"id": 1004100935900995700,
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"author_name": "lacertae",
"timestamp": "08/02/2022 14:58:38",
"content": "2x=b+c+a-2a",
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"author_name": "lacertae",
"timestamp": "08/02/2022 14:58:47",
"content": "and how TF does this transform into",
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"id": 1004100996944896000,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/02/2022 14:58:52",
"content": "2x=2(p-a)",
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"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/02/2022 14:59:09",
"content": "I'm hella confused about the 2(p-a)",
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"timestamp": "08/02/2022 14:59:23",
"content": "2p-2a =2a+2b+2c-2a",
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"id": 1004101137336643700,
"author_id": 923268887909384200,
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"timestamp": "08/02/2022 14:59:26",
"content": "no?",
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"id": 1004102062822391900,
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"timestamp": "08/02/2022 15:03:07",
"content": "if p=(a+b+c)/2 then",
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"timestamp": "08/02/2022 15:03:31",
"content": "a+b+c-2a would make sense",
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"id": 1004103280072327300,
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"author_name": "lacertae",
"timestamp": "08/02/2022 15:07:57",
"content": ".close",
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"timestamp": "08/02/2022 15:07:57",
"content": "Channel closed",
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] |
help-9
|
d13f4ca023934e568d51b728b2ecdef6
|
197,599 |
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"id": 1004107960663953500,
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"author_name": "Mathematics Bot",
"timestamp": "08/02/2022 15:26:33",
"content": "Available help channel!",
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"id": 1004108832777179300,
"author_id": 953405197592453100,
"author_name": "ຕKຕaబrຕlబMຕaబrຕx益;)",
"timestamp": "08/02/2022 15:30:01",
"content": "With what velocity should an α− particle travel towards the nucleus of a copper atoms so as arrive at a distance 10−12m from the nucleus of the copper atom?\n(4.8×√29×60=200,NA=6×1023)",
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"author_name": "ຕKຕaబrຕlబMຕaబrຕx益;)",
"timestamp": "08/02/2022 15:30:13",
"content": "Ik this is chemistry so lemme give formulas",
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"author_name": "ຕKຕaబrຕlబMຕaబrຕx益;)",
"timestamp": "08/02/2022 15:30:22",
"content": "I need help in calculation",
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"id": 1004109346445209600,
"author_id": 953405197592453100,
"author_name": "ຕKຕaబrຕlబMຕaబrຕx益;)",
"timestamp": "08/02/2022 15:32:03",
"content": "1/2 × 4/Na × v^2 = 9×10^9×2×29×(1.6×10^-19)^2 divided by 10^-12",
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"content": "",
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"timestamp": "08/02/2022 15:36:08",
"content": "Forgot to add 10^-12 in 2nd step of the equation but added in 3rd one so not a prob",
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"author_name": "ຕKຕaబrຕlబMຕaబrຕx益;)",
"timestamp": "08/02/2022 15:45:08",
"content": "-.-",
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"author_name": "ຕKຕaబrຕlబMຕaబrຕx益;)",
"timestamp": "08/02/2022 15:58:30",
"content": "Corrected some mistakes still not getting the answer",
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"content": "@ຕKຕaబrຕlబMຕaబrຕx益;) Has your question been resolved?",
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"content": "@ຕKຕaబrຕlబMຕaబrຕx益;) Has your question been resolved?",
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] |
help-9
|
ddfb61bbed0f452fb826e39ea522a9ce
|
197,600 |
[
{
"id": 1004295479980470300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 03:51:41",
"content": "Available help channel!",
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},
{
"id": 1004297228103467000,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 03:58:38",
"content": "Heyo I got probability and percentage question I guess , I think I might be stupid but my math doesn't seem to add up",
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"id": 1004297230838140900,
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"content": "Pinned a message.",
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"id": 1004297384039292900,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 03:59:15",
"content": "Lets say I got loot boxes , and those have 4.2% chance to contain certain loot",
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"id": 1004297465719177200,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 03:59:34",
"content": "and this loot has 4 type of level 1 up to 4 and each level have different chance to obtain it",
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"id": 1004297488066420700,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 03:59:40",
"content": "so lets say chance to get lvl4 is 11%",
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},
{
"id": 1004297585885990900,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:00:03",
"content": "I'm trying to calculate how many times I need to \"roll\" in order to get this reward at level 4",
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{
"id": 1004297655641444400,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:00:20",
"content": "so the math I did was",
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{
"id": 1004297719571042400,
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"author_name": "YmY",
"timestamp": "08/03/2022 04:00:35",
"content": "100 / 4.2 in order to see how many time to get the basic loot once",
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"id": 1004297819789734000,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:00:59",
"content": "and then I did 100/ 11 in order to see the chances?\nand then I did the 100 / 4.2 * (100/11)",
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"id": 1004297860059246600,
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"author_name": "YmY",
"timestamp": "08/03/2022 04:01:08",
"content": "question is if it's right or not...",
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{
"id": 1004297943408459900,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:01:28",
"content": "and I got like 214 as number of tries to achieve it",
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},
{
"id": 1004297947573403800,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/03/2022 04:01:29",
"content": "The expected value of the geometric distribution has the nice property of being just what you expect it to be: if something has a probability p of happening, on average it will happen on the 1/p th attempt",
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{
"id": 1004298031950200800,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:01:49",
"content": "I want like the max amount to get it not average for say",
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},
{
"id": 1004298059901042700,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:01:56",
"content": "or is it avg?",
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},
{
"id": 1004298084660039800,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/03/2022 04:02:02",
"content": "Max is always infinity",
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},
{
"id": 1004298097935011800,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:02:05",
"content": "o ye",
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},
{
"id": 1004298109897162900,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:02:08",
"content": "cuz it never 100%",
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},
{
"id": 1004298206265475100,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:02:31",
"content": "but the math I did seems logical?",
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},
{
"id": 1004298274284523500,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:02:47",
"content": "for like 99% chance to get it?",
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},
{
"id": 1004298437380026400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/03/2022 04:03:26",
"content": "So you got a 0.042 * 0.11 = 0.00462 probability, so on average 1 every 216 rolls",
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"id": 1004298542841593900,
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"author_name": "themateo713",
"timestamp": "08/03/2022 04:03:51",
"content": "That's for a 50% chance of getting it",
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},
{
"id": 1004298560126337200,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:03:55",
"content": "oo",
"attachments": [],
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},
{
"id": 1004298586395259000,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:04:01",
"content": "wait so how you got the 216",
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},
{
"id": 1004298611946963000,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:04:08",
"content": "from the 0.00462",
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},
{
"id": 1004298666451943400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/03/2022 04:04:21",
"content": "1/0.00462",
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},
{
"id": 1004298685410181100,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:04:25",
"content": "ooooooooooooo",
"attachments": [],
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},
{
"id": 1004298697632387100,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:04:28",
"content": "okok",
"attachments": [],
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},
{
"id": 1004298705681268700,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:04:30",
"content": "so me big dumb",
"attachments": [],
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},
{
"id": 1004298815257460700,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/03/2022 04:04:56",
"content": "Like rolling a dice: you expect a 6 every 6 attempts: 1/(1/6)",
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},
{
"id": 1004298847478087700,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:05:04",
"content": "yeah 216 seems the right answer for what I was looking",
"attachments": [],
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},
{
"id": 1004298850053402800,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:05:04",
"content": "o",
"attachments": [],
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},
{
"id": 1004298851886321800,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:05:05",
"content": "ic",
"attachments": [],
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},
{
"id": 1004298905023942700,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/03/2022 04:05:17",
"content": "But 99% is much less",
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},
{
"id": 1004298960766251100,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:05:31",
"content": "yeye for sure",
"attachments": [],
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},
{
"id": 1004298968332783600,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/03/2022 04:05:33",
"content": "You'd be looking at thousands of rolls",
"attachments": [],
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},
{
"id": 1004299000129781800,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:05:40",
"content": "I had 216 as answer but I tried to look like how they got it",
"attachments": [],
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},
{
"id": 1004299020455387100,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:05:45",
"content": "and I got the the answer I typed above",
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},
{
"id": 1004299031196999800,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:05:48",
"content": "which seems kinda weird",
"attachments": [],
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},
{
"id": 1004299052025921700,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:05:52",
"content": "after I started to think bout it",
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},
{
"id": 1004299100918927400,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:06:04",
"content": "now I understand a bit how probability works",
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{
"id": 1004299232280322200,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/03/2022 04:06:35",
"content": "Well you've got a 1/25 chance of a box then 1/9 for the rarity. That multiplies to 1/225",
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},
{
"id": 1004299252559781900,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/03/2022 04:06:40",
"content": "It adds up",
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},
{
"id": 1004299306771173500,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:06:53",
"content": "yea I kinda worked my way around haha",
"attachments": [],
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},
{
"id": 1004299319161147400,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:06:56",
"content": "well thanks a bunch!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004299346126315500,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:07:03",
"content": "learning new things everyday!!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004299363146805400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/03/2022 04:07:07",
"content": "Not curious about the 99% ?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004299425499336700,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:07:22",
"content": "nah haha now I understand it was avg question",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004299433636270100,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:07:23",
"content": "and not 99% one",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004299476019712100,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:07:34",
"content": "so was myb assuming that",
"attachments": [],
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},
{
"id": 1004299506688467000,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:07:41",
"content": "now I can do my math around easier thanks!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004299570966184100,
"author_id": 236573340872081400,
"author_name": "YmY",
"timestamp": "08/03/2022 04:07:56",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004299572882976800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 04:07:57",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
211ec48bc9074ef9be864b976711182a
|
197,601 |
[
{
"id": 1004299825732399200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 04:08:57",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004300491620094000,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:11:36",
"content": "Please could I have some help with Q6aiii and 6b. Don't understand what it means",
"attachments": [
{
"id": 1004300491347472400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1004300491347472384/Screen_Shot_2022-08-03_at_6.10.01_pm.png",
"fileName": "Screen_Shot_2022-08-03_at_6.10.01_pm.png",
"fileSizeBytes": 225890
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],
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},
{
"id": 1004300495063613600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 04:11:37",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1004300491620094000,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1004300847007674400,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/03/2022 04:13:00",
"content": "Cones can unravel into sectors",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004300897226072200,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/03/2022 04:13:12",
"content": "Like in the image given to you",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004300917270663300,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:13:17",
"content": "ok",
"attachments": [],
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},
{
"id": 1004300962627858400,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:13:28",
"content": "how do u find the angel tho?",
"attachments": [],
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},
{
"id": 1004300968810266600,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:13:29",
"content": "angle",
"attachments": [],
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"reference": null
},
{
"id": 1004301023944376400,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:13:43",
"content": "wait",
"attachments": [],
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},
{
"id": 1004301076385775600,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:13:55",
"content": "is it 2πr/2πl?",
"attachments": [],
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},
{
"id": 1004301601697173500,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/03/2022 04:16:00",
"content": "Why 2πl?",
"attachments": [],
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},
{
"id": 1004301769788117000,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:16:40",
"content": "isnt that the circumference of the whole circle?",
"attachments": [],
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},
{
"id": 1004301779799916700,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/03/2022 04:16:43",
"content": "I believe is is 2πr/l",
"attachments": [],
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"reference": null
},
{
"id": 1004301870325575800,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:17:04",
"content": "if ur on a mac its option + p is π",
"attachments": [],
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},
{
"id": 1004301878005342200,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:17:06",
"content": "btw",
"attachments": [],
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},
{
"id": 1004301889350938800,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:17:09",
"content": "could be helpful",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004301940596932600,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:17:21",
"content": "why not 2πl tho?",
"attachments": [],
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},
{
"id": 1004302050198290400,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:17:47",
"content": "like ill trust u",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004302061485178900,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/03/2022 04:17:50",
"content": "Think, what is the formula for calculating angle of sector",
"attachments": [],
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{
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"id": 1004302129420308600,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:18:06",
"content": "isnt it theta on 360",
"attachments": [],
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},
{
"id": 1004302169584975900,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:18:16",
"content": "x whatever else ur doing?",
"attachments": [],
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},
{
"id": 1004302231153160200,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/03/2022 04:18:30",
"content": "Whats that?",
"attachments": [],
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{
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"name": "WhyWouldYouKap",
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}
],
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},
{
"id": 1004302277537960000,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:18:41",
"content": "oh thats the wrong thing nvm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004302371217739800,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:19:04",
"content": "isnt it arc/circumference",
"attachments": [],
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},
{
"id": 1004302412867174400,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:19:14",
"content": "if not then i have no idea",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004302611182260200,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/03/2022 04:20:01",
"content": "It’s \n> arc length/radius",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004302732502511600,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:20:30",
"content": "ah ok",
"attachments": [],
"mentions": [],
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},
{
"id": 1004302744145903600,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:20:33",
"content": "that helps",
"attachments": [],
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},
{
"id": 1004302805672149000,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:20:47",
"content": "so its 2πr/l",
"attachments": [],
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},
{
"id": 1004302836387024900,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/03/2022 04:20:55",
"content": "Yes",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004302918645731500,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:21:14",
"content": "which is 2xπx5/5√5?",
"attachments": [],
"mentions": [],
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},
{
"id": 1004302999310585900,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/03/2022 04:21:34",
"content": "Seems correct",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004303115379556400,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/03/2022 04:22:01",
"content": "Well now can you also do 6b?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004303145230418000,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:22:08",
"content": "i got 2.8",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004303181779570700,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:22:17",
"content": "which is mad wrong compared to answers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004303214541291500,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/03/2022 04:22:25",
"content": ",calc 2*pi*5/5(sqrt(5))",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004303266257047600,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:22:37",
"content": "do √125",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004303278110167200,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:22:40",
"content": "maybe it helps",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004303382988722200,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:23:05",
"content": "its shift 8 iirc",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004303433962111100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/03/2022 04:23:17",
"content": "Result:\n```\n14.049629462081\n```",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004303495815504000,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/03/2022 04:23:32",
"content": ":NervousSweat:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004303759876292600,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:24:35",
"content": "",
"attachments": [
{
"id": 1004303758521544700,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1004303758521544724/IMG_1229.jpg",
"fileName": "IMG_1229.jpg",
"fileSizeBytes": 2460202
}
],
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},
{
"id": 1004303867774767100,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/03/2022 04:25:01",
"content": ",w 10pi / sqrt(125)",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004303879615287400,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/03/2022 04:25:03",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004303915476602900,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:25:12",
"content": "yep",
"attachments": [],
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"reference": null
},
{
"id": 1004303952675881100,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:25:21",
"content": "2xπx5 is 10π",
"attachments": [],
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"reference": null
},
{
"id": 1004303978269511700,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:25:27",
"content": "5√5 is √125",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004303983806009300,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:25:28",
"content": "idk",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004304028928323600,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/03/2022 04:25:39",
"content": "Hmm well then whats the answer given at back?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004304038420029400,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:25:41",
"content": "the answers say 161˚ tbh",
"attachments": [],
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"reference": null
},
{
"id": 1004304094216851500,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:25:55",
"content": "it says its 360/√5",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004304128106831900,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:26:03",
"content": "but where is that from",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004304158876246000,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/03/2022 04:26:10",
"content": ",w 2.8099 radian to degree",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004304169903067300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/03/2022 04:26:13",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004304205290406000,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/03/2022 04:26:21",
"content": ":catshrug:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004304234180792400,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:26:28",
"content": "omg",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004304249653563400,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:26:32",
"content": "whats radians?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004304312664608800,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/03/2022 04:26:47",
"content": "Its unit of measurement of angle",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004304352460161000,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/03/2022 04:26:56",
"content": ",w what is radian",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004304368054566900,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/03/2022 04:27:00",
"content": "Results provided by WolframAlpha",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004304401692885000,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:27:08",
"content": "ok thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004304516457435100,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:27:35",
"content": "the next one i did",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004304530277683200,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:27:39",
"content": "which i got right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004304642798272500,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:28:05",
"content": "or did i wait",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004304683768221800,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:28:15",
"content": "if r = h, r is 10 or h is 5?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004304872490946600,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/03/2022 04:29:00",
"content": "Does it matter? Think why didn’t they give a specific number",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004304899338670100,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:29:07",
"content": "ah ok",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004304970155311100,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:29:23",
"content": "so u mean in general?",
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"id": 1004305087017005200,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/03/2022 04:29:51",
"content": "Because if you set r=h=x\n then l= x sqrt2",
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"id": 1004305174849912800,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/03/2022 04:30:12",
"content": "And in formula 2 pi x/ x sqrt(2) x gets canceled",
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"timestamp": "08/03/2022 04:30:14",
"content": "that makes sense",
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"timestamp": "08/03/2022 04:30:31",
"content": "so its just 2π/√2",
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"timestamp": "08/03/2022 04:30:45",
"content": "which is about 4.44",
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"timestamp": "08/03/2022 04:30:58",
"content": ",w 4.44 radian to degree",
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"author_name": "Deep.",
"timestamp": "08/03/2022 04:30:59",
"content": "Yes, and here the angle is not dependent on x",
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"timestamp": "08/03/2022 04:31:00",
"content": "Results provided by WolframAlpha",
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"timestamp": "08/03/2022 04:31:03",
"content": "ok thanks",
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"id": 1004305470527393800,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/03/2022 04:31:23",
"content": ":okvai:",
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"id": 1004305525355335700,
"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:31:36",
"content": "are radians complicated?",
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"id": 1004305561904484500,
"author_id": 600510288067952600,
"author_name": "GarlicBredFries",
"timestamp": "08/03/2022 04:31:45",
"content": "not really",
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"id": 1004305750593650800,
"author_id": 915145402859278300,
"author_name": "Deep.",
"timestamp": "08/03/2022 04:32:30",
"content": "Its just 2π = 360°",
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"timestamp": "08/03/2022 04:32:54",
"content": "ah ok",
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"author_id": 728366980796514300,
"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:32:56",
"content": "thanks so much",
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},
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"author_name": "WhyWouldYouKap",
"timestamp": "08/03/2022 04:32:58",
"content": "that helps a lot",
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"author_name": "Deep.",
"timestamp": "08/03/2022 04:33:02",
"content": ":happy:",
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"id": 1004306049794330600,
"author_id": 728366980796514300,
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"timestamp": "08/03/2022 04:33:41",
"content": "ur a legend mate",
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"id": 1004306058883383300,
"author_id": 728366980796514300,
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"timestamp": "08/03/2022 04:33:43",
"content": ".close",
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},
{
"id": 1004306060288467000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 04:33:43",
"content": "Channel closed",
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}
] |
help-9
|
40f3b6f91a86470d991d2d02ba102c6b
|
197,602 |
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 05:08:28",
"content": "Available help channel!",
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},
{
"id": 1004315076729241700,
"author_id": 756169651863683200,
"author_name": "1mp",
"timestamp": "08/03/2022 05:09:33",
"content": "Could I please have some help on this one? I've used Menalaus on ABD'F and Ceva on ABC but i dont know what else to do\nive also figured out D' is a fixed point iff BD' = $\\frac{BC\\cdot AE\\cdot FD'}{AC \\cdot EF}$ is constant\nwe know BC is constant but idk about the rest",
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"timestamp": "08/03/2022 05:09:34",
"content": "Pinned a message.",
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"timestamp": "08/03/2022 05:09:36",
"content": "**moonblade**",
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"timestamp": "08/03/2022 05:23:40",
"content": "@Helpers",
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},
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"id": 1004322406543933400,
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"timestamp": "08/03/2022 05:38:41",
"content": "@1mp Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
088dcc03d8644f89b94157c83c2864b6
|
197,603 |
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"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 05:54:41",
"content": "Available help channel!",
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},
{
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"content": "Pinned a message.",
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"id": 1004333082867929100,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "08/03/2022 06:21:06",
"content": "find the center of a circle using a tangent and a secant",
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"id": 1004336488986714200,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:34:38",
"content": "wait",
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"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:34:40",
"content": "hold on",
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"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:34:46",
"content": "did i read the question right",
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"timestamp": "08/03/2022 06:34:52",
"content": "wait so no",
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"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:35:05",
"content": "there's only one equation of a line",
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"id": 1004336629722382300,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:35:12",
"content": "nononono",
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"timestamp": "08/03/2022 06:35:18",
"content": "take ur time",
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"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:35:18",
"content": "you're not asked to actually",
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"timestamp": "08/03/2022 06:35:24",
"content": "find the center",
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"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:35:29",
"content": "i think",
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"author_name": "Lime",
"timestamp": "08/03/2022 06:35:49",
"content": "well, i need to cuz i need to also find the radius",
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"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:36:02",
"content": "actually nevermind",
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"timestamp": "08/03/2022 06:36:04",
"content": "you do",
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"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:36:06",
"content": "yeah so",
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"timestamp": "08/03/2022 06:36:07",
"content": "yes",
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"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:36:12",
"content": "use perpendicular lines",
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"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:36:14",
"content": "to these",
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"author_name": "Lime",
"timestamp": "08/03/2022 06:36:21",
"content": "how do i do that",
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"author_name": "Lime",
"timestamp": "08/03/2022 06:36:28",
"content": "formula?",
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"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:36:38",
"content": "do you know how to find the line perpendicular to another line",
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"id": 1004337065443475500,
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"author_name": "Lime",
"timestamp": "08/03/2022 06:36:56",
"content": "no",
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"id": 1004337275406123100,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:37:46",
"content": "the slope of a perpendicular is the negative reciprocral of the original one",
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"author_name": "Lime",
"timestamp": "08/03/2022 06:38:26",
"content": "is it sqrt of (h-x)^2+(k-y)^2=(h-x)^2+(k-y)^2?",
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"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:38:38",
"content": "huh",
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"id": 1004337504868118700,
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"author_name": "Lime",
"timestamp": "08/03/2022 06:38:40",
"content": "and i plug the two coordinates?",
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"author_name": "Lime",
"timestamp": "08/03/2022 06:39:15",
"content": "cuz they're both on the circle which means their distance is equidistant relative to the center",
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"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:39:30",
"content": "you can use perpendicular lines to triangulate the position of the center",
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"timestamp": "08/03/2022 06:40:47",
"content": "",
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"timestamp": "08/03/2022 06:41:35",
"content": "what would be the formula of that?",
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"author_name": "Lime",
"timestamp": "08/03/2022 06:42:00",
"content": "i don't have the radius",
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"id": 1004338524671180800,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:42:43",
"content": "why would you need the radius to find the equation for that line",
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"id": 1004338698428620800,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:43:25",
"content": "if you have a line with equation y=mx+b",
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"timestamp": "08/03/2022 06:43:33",
"content": "then the slope of a perpendicular line",
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"id": 1004338745530658800,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:43:36",
"content": "is -1/m",
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"id": 1004338818582847500,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "08/03/2022 06:43:54",
"content": "the slope would be -3/2?",
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"id": 1004339195613040600,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:45:23",
"content": "yeah",
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},
{
"id": 1004339222448197800,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:45:30",
"content": "wait",
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},
{
"id": 1004339332435419100,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:45:56",
"content": "yeah",
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},
{
"id": 1004339375338954800,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:46:06",
"content": "if you consider the weird underscore thing",
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{
"id": 1004339381118697500,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 06:46:08",
"content": "is minus",
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},
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"id": 1004339398843842700,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "08/03/2022 06:46:12",
"content": "i've answered one of these before but now they're asking for center and radius",
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"content": "first you need to find the center though",
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"content": "if you cqn find the center",
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"content": "then the radius is easy ti find",
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"content": "how do i find h, k for this one? cuz then i'll just use that as sort of a reference",
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"content": "ohhh i see what it wants you to do",
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"timestamp": "08/03/2022 06:48:18",
"content": "find a point equidistant to both of these points",
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"content": "you know how i could do that?",
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"timestamp": "08/03/2022 06:49:32",
"content": "so there's two ways you could do this",
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"timestamp": "08/03/2022 06:50:10",
"content": "you could find the equation of the perpendicular to the secant",
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"content": "or",
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"content": "you can use",
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"content": "the distance formula",
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"content": "they are pretty much equivalent methods",
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"timestamp": "08/03/2022 06:51:08",
"content": "that looks nasty though",
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"timestamp": "08/03/2022 06:51:17",
"content": "so many square roots and stuff",
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"timestamp": "08/03/2022 06:52:19",
"content": "do you have to do it this way",
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"timestamp": "08/03/2022 06:52:21",
"content": "i'm more familiar with the distance formula, how would u write this in a formula to find h, k?",
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"timestamp": "08/03/2022 06:54:16",
"content": "think about what doing it that way means",
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"timestamp": "08/03/2022 06:54:33",
"content": "a friend told me to \"multiply then subtract to the other equation\" but i have no idea what that means",
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"timestamp": "08/03/2022 06:54:55",
"content": "is that a right angle?",
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"content": "it's all the points",
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"content": "such",
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"content": "that",
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"content": "these lengths are equal",
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"timestamp": "08/03/2022 06:55:07",
"content": "so essentially this line",
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"content": "perpendicular",
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"content": "no",
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"timestamp": "08/03/2022 06:56:18",
"content": "so essentially",
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"content": "why would you use the distance formula",
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"timestamp": "08/03/2022 06:56:36",
"content": "when you can describe the exact same line",
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"timestamp": "08/03/2022 06:56:41",
"content": "with the information given",
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"timestamp": "08/03/2022 06:57:02",
"content": "without dealing with complicated square roots",
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"timestamp": "08/03/2022 06:59:25",
"content": "my friend just sent me something tho i dont get it",
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"content": "it's related to this",
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"timestamp": "08/03/2022 07:01:14",
"content": "how did he get the center this way? he subtracted two equations and isolated one of the points",
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"timestamp": "08/03/2022 07:03:58",
"content": "asagao?",
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"timestamp": "08/03/2022 07:04:35",
"content": "yeah",
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"timestamp": "08/03/2022 07:04:38",
"content": "so he plugged in",
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"timestamp": "08/03/2022 07:04:39",
"content": "the point",
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"timestamp": "08/03/2022 07:05:42",
"content": "wdym?",
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"timestamp": "08/03/2022 07:05:47",
"content": "into the equation",
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"timestamp": "08/03/2022 07:06:00",
"content": "and solved the equation from that point",
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"timestamp": "08/03/2022 07:06:09",
"content": "since he has the other equation from before",
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"timestamp": "08/03/2022 07:06:39",
"content": "ok? not sure what that means.. how would u apply it to this? as an example",
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"timestamp": "08/03/2022 07:08:34",
"content": "well just do the same process",
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"timestamp": "08/03/2022 07:08:48",
"content": "of finding the points",
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"timestamp": "08/03/2022 07:08:51",
"content": "equidistant",
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"timestamp": "08/03/2022 07:09:00",
"content": "to theses two points",
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"timestamp": "08/03/2022 07:09:14",
"content": "which is essentially the perpendicular bisector",
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"timestamp": "08/03/2022 07:10:45",
"content": "like this?",
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"timestamp": "08/03/2022 07:11:24",
"content": "i multiplied by 3 and subtracted but didn't isolate anything",
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"timestamp": "08/03/2022 07:13:53",
"content": "hmmm",
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"timestamp": "08/03/2022 07:14:24",
"content": "hmmm indeed",
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"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 07:14:55",
"content": "are you expected to use this method though",
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"timestamp": "08/03/2022 07:15:27",
"content": "yes, it's gonna be on the finals",
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"timestamp": "08/03/2022 07:15:44",
"content": "which is tomorrow",
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"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 07:16:01",
"content": "and you have to use this specific method to solve it?",
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"timestamp": "08/03/2022 07:16:29",
"content": "well, that's supposedly how it's done",
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"timestamp": "08/03/2022 07:17:30",
"content": "that's stupid though",
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"timestamp": "08/03/2022 07:18:36",
"content": "well ok then show me how it should be done.",
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"timestamp": "08/03/2022 07:19:02",
"content": "write something cuz i can't comprehend anything without the numbers and stuff",
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"timestamp": "08/03/2022 07:19:58",
"content": "look",
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"timestamp": "08/03/2022 07:20:05",
"content": "draw 2 lines",
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"timestamp": "08/03/2022 07:20:10",
"content": "lines intersect",
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"timestamp": "08/03/2022 07:20:12",
"content": "you find center",
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"timestamp": "08/03/2022 07:20:15",
"content": "right",
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"timestamp": "08/03/2022 07:20:30",
"content": "lol",
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"author_name": "Lime",
"timestamp": "08/03/2022 07:21:09",
"content": "and so?",
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"timestamp": "08/03/2022 07:21:19",
"content": "the goal is to find the center",
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"timestamp": "08/03/2022 07:21:30",
"content": "and then from there",
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"timestamp": "08/03/2022 07:21:34",
"content": "just use distance formula",
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"timestamp": "08/03/2022 07:21:38",
"content": "to find the radius",
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"author_name": "Lime",
"timestamp": "08/03/2022 07:25:24",
"content": "ok so this would just be the same basically right?",
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"content": "just different numbers",
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"timestamp": "08/03/2022 07:26:03",
"content": "well yeah",
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"author_name": "Lime",
"timestamp": "08/03/2022 07:26:31",
"content": "after this, how would you write the equation to find h, k?",
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"timestamp": "08/03/2022 07:27:39",
"content": "well solving for the value of x where both the lines intersect",
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"timestamp": "08/03/2022 07:27:54",
"content": "oh you're talking about that one",
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"timestamp": "08/03/2022 07:30:04",
"content": "honestly i don't even know",
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"timestamp": "08/03/2022 07:30:09",
"content": "just seems overly complicated",
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"timestamp": "08/03/2022 07:30:16",
"content": "for a relatively simple problem",
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"timestamp": "08/03/2022 07:34:26",
"content": "bro please just tell me h, k i am dying",
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"timestamp": "08/03/2022 07:34:51",
"content": "what's your question again?",
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"content": "just answer this",
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"timestamp": "08/03/2022 07:35:09",
"content": "find h,k",
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"author_name": "Thunder7",
"timestamp": "08/03/2022 07:36:29",
"content": "circle passing through (6;2) and tangent to the line x-5y+5=0 at (3;3)?",
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"timestamp": "08/03/2022 07:36:34",
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"timestamp": "08/03/2022 07:36:40",
"content": "this is what ur given right",
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"content": "right.. B is (3, -3) and A is (6, 2)",
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"timestamp": "08/03/2022 07:37:21",
"content": "wait what",
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"timestamp": "08/03/2022 07:37:29",
"content": "so ur not doing the other one anymore?",
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"timestamp": "08/03/2022 07:37:37",
"content": "this one",
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"timestamp": "08/03/2022 07:38:21",
"content": "i need a reliable method of find the center with these as a given",
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"timestamp": "08/03/2022 07:38:33",
"content": "yes",
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"timestamp": "08/03/2022 07:39:23",
"content": "the scenario is the same anyway so just trying to do the same to the example i gave to see if the method of the other thing is applicable to others",
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"timestamp": "08/03/2022 07:39:56",
"content": "look",
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"timestamp": "08/03/2022 07:40:09",
"content": "this is some random secant and tangent combination",
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"timestamp": "08/03/2022 07:40:46",
"content": "by finding the following perpendicular lines",
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"timestamp": "08/03/2022 07:40:52",
"content": "you can find the center",
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"timestamp": "08/03/2022 07:41:29",
"content": "x-4y+15=0 actually i messed up, it's not 5y",
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"timestamp": "08/03/2022 07:41:34",
"content": "geometry",
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"timestamp": "08/03/2022 07:41:36",
"content": ".",
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"timestamp": "08/03/2022 07:41:43",
"content": "and it's 3, -3",
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"timestamp": "08/03/2022 07:43:06",
"content": "lemme walk you through the one ur friend already told you the answer for",
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"timestamp": "08/03/2022 07:43:09",
"content": "so",
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"timestamp": "08/03/2022 07:43:24",
"content": "this one",
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"timestamp": "08/03/2022 07:43:47",
"content": "so",
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"timestamp": "08/03/2022 07:44:03",
"content": "you isolate y",
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"timestamp": "08/03/2022 07:44:13",
"content": "in the 2x-3y+9=0",
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"timestamp": "08/03/2022 07:44:43",
"content": "which yields (2/3)x+3",
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"timestamp": "08/03/2022 07:44:49",
"content": "right",
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"timestamp": "08/03/2022 07:45:07",
"content": "so the slope is 2/3",
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"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 07:45:13",
"content": "to find the slope of the perpendicular line",
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"timestamp": "08/03/2022 07:45:18",
"content": "you do the negative reciprocal",
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"timestamp": "08/03/2022 07:45:19",
"content": "so",
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"timestamp": "08/03/2022 07:45:22",
"content": "-3/2",
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"timestamp": "08/03/2022 07:45:43",
"content": "you know it has to go through -3,1",
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"timestamp": "08/03/2022 07:46:02",
"content": "so you get",
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"timestamp": "08/03/2022 07:46:39",
"content": "$y=-\\frac{3}{2}(x+3)+1$",
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"author_name": "TeXit",
"timestamp": "08/03/2022 07:46:41",
"content": "**Asagao 朝顔**",
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"timestamp": "08/03/2022 07:48:04",
"content": "so",
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"timestamp": "08/03/2022 07:48:08",
"content": "essentially simplify that",
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"timestamp": "08/03/2022 07:48:10",
"content": "you get",
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"timestamp": "08/03/2022 07:48:35",
"content": "-3/2 x -3.5",
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"timestamp": "08/03/2022 07:49:24",
"content": "so you have the first perpendicular line",
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"timestamp": "08/03/2022 07:49:28",
"content": "then",
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"id": 1004355330790146000,
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"timestamp": "08/03/2022 07:49:30",
"content": "what you do",
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"id": 1004355333206057000,
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"timestamp": "08/03/2022 07:49:31",
"content": "is",
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"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 07:49:35",
"content": "you find the second one",
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"timestamp": "08/03/2022 07:49:46",
"content": "so you find the equation of the secant",
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"timestamp": "08/03/2022 07:49:56",
"content": "or rather only the slope",
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"timestamp": "08/03/2022 07:50:07",
"content": "because that's the only thing you really need",
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"timestamp": "08/03/2022 07:50:44",
"content": "slope of the line through (-3,1) and (-4,-4) is 5",
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"timestamp": "08/03/2022 07:51:23",
"content": "cuz (1-(-4))/(-3-(-4))",
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"timestamp": "08/03/2022 07:51:40",
"content": "so you take the negative reciprocal of that",
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"timestamp": "08/03/2022 07:51:43",
"content": "-1/5",
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"id": 1004355943217250400,
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"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 07:51:56",
"content": "to find the point it has to go through",
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"timestamp": "08/03/2022 07:52:10",
"content": "you find the midpoint between the 2 points",
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"timestamp": "08/03/2022 07:52:19",
"content": "so",
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"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 07:53:35",
"content": "$(\\frac{-4+(-3)}{2},\\frac{-4+1}{2})$",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/03/2022 07:53:41",
"content": "**Asagao 朝顔**",
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"timestamp": "08/03/2022 07:53:49",
"content": "which is the point",
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"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 07:53:58",
"content": "(-3.5,-1.5)",
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"timestamp": "08/03/2022 07:54:16",
"content": "so the line with slope -1/5 passing through that point is",
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"timestamp": "08/03/2022 07:55:13",
"content": "y=-1/5(x+3.5)-1.5",
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"timestamp": "08/03/2022 07:55:27",
"content": "which simplifies to",
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"timestamp": "08/03/2022 07:55:38",
"content": "y=-1/5 x - 2.2",
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"timestamp": "08/03/2022 07:55:46",
"content": "then you do",
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"timestamp": "08/03/2022 07:56:04",
"content": "-1/5 x - 2.2 = -3/2 x - 3.5",
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"timestamp": "08/03/2022 07:57:02",
"content": "so",
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"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 07:57:26",
"content": "-1/5x + 3/2 x = -3.5 + 2.2",
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"timestamp": "08/03/2022 07:58:03",
"content": "simplify things to 13/10x",
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"timestamp": "08/03/2022 07:58:10",
"content": "on the LHS",
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"timestamp": "08/03/2022 07:58:11",
"content": "and",
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"author_id": 907667015756574800,
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"timestamp": "08/03/2022 07:58:41",
"content": "-1.3",
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"id": 1004357766305038300,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 07:59:11",
"content": "then divide things out",
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"timestamp": "08/03/2022 07:59:13",
"content": "to get",
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"timestamp": "08/03/2022 07:59:39",
"content": "x = -1",
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"id": 1004357947125665900,
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"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 07:59:54",
"content": "then plug in -1 into one of the lines",
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"timestamp": "08/03/2022 07:59:57",
"content": "either one is ok",
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"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 08:00:15",
"content": "-3/2 (-1) - 3.5",
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"timestamp": "08/03/2022 08:00:22",
"content": "that's 3/2 - 3.5",
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"id": 1004358071809753200,
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"timestamp": "08/03/2022 08:00:24",
"content": "so",
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"id": 1004358115577315500,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 08:00:34",
"content": "1.5 - 3.5",
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"timestamp": "08/03/2022 08:00:38",
"content": "which is -2",
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"id": 1004358181755048000,
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"timestamp": "08/03/2022 08:00:50",
"content": "once you have the center of the circle",
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"content": "(-1,-2)",
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"author_name": "Lime",
"timestamp": "08/03/2022 08:01:09",
"content": "",
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"timestamp": "08/03/2022 08:01:12",
"content": "use the distance formula",
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"timestamp": "08/03/2022 08:01:15",
"content": "to find the radius",
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"author_name": "Lime",
"timestamp": "08/03/2022 08:01:49",
"content": "apply that to this and it doesn't make any sense anymore",
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"timestamp": "08/03/2022 08:02:01",
"content": "it does?",
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"timestamp": "08/03/2022 08:02:03",
"content": "wdym",
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"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 08:02:17",
"content": "you want me to go through that one too with the same method?",
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"timestamp": "08/03/2022 08:02:38",
"content": "it's the exact same exercise",
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"timestamp": "08/03/2022 08:02:43",
"content": "with different numbers lol",
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"id": 1004358679388246000,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 08:02:49",
"content": "why would this no longer be valid",
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"timestamp": "08/03/2022 08:03:08",
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"timestamp": "08/03/2022 08:03:28",
"content": "it's the same exercise",
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"timestamp": "08/03/2022 08:03:33",
"content": "but different numbers",
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"timestamp": "08/03/2022 08:03:38",
"content": "bruh",
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"id": 1004359015939199100,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "08/03/2022 08:04:09",
"content": "what is the mistake",
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"author_name": "Lime",
"timestamp": "08/03/2022 08:04:53",
"content": "i made a huge mistake here obviously otherwise h or k would've been isolated right? tell me what that mistake is",
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"timestamp": "08/03/2022 08:05:31",
"content": "before subtracting them you have to multiply one of them",
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"timestamp": "08/03/2022 08:05:41",
"content": "so that one of the coefficients match",
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"id": 1004359430961369200,
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"timestamp": "08/03/2022 08:05:48",
"content": "so then they cancel out nicely",
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"id": 1004359555217637400,
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"author_name": "Lime",
"timestamp": "08/03/2022 08:06:18",
"content": "aight hold on",
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"id": 1004360005899796500,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "08/03/2022 08:08:05",
"content": "like this?",
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"author_name": "Lime",
"timestamp": "08/03/2022 08:08:06",
"content": "",
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"timestamp": "08/03/2022 08:08:24",
"content": "ye",
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"author_name": "Lime",
"timestamp": "08/03/2022 08:09:53",
"content": "then it would be 17h=56? then divide both sides by 17???",
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"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 08:10:34",
"content": "mhm",
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"author_name": "Lime",
"timestamp": "08/03/2022 08:10:59",
"content": "so h = 3.294117647058824",
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"id": 1004361155843723400,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "08/03/2022 08:12:39",
"content": "then 13.1764705882353+k-9=0",
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{
"id": 1004361296336126000,
"author_id": 966671065722011600,
"author_name": "BeLikeUranium235",
"timestamp": "08/03/2022 08:13:13",
"content": "hey guys",
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"id": 1004361306175963100,
"author_id": 966671065722011600,
"author_name": "BeLikeUranium235",
"timestamp": "08/03/2022 08:13:15",
"content": "i am new here",
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"id": 1004361340070142100,
"author_id": 966671065722011600,
"author_name": "BeLikeUranium235",
"timestamp": "08/03/2022 08:13:23",
"content": "i have a doubt in a math question",
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"id": 1004361402196185200,
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"timestamp": "08/03/2022 08:13:38",
"content": "...",
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"id": 1004361402846294100,
"author_id": 966671065722011600,
"author_name": "BeLikeUranium235",
"timestamp": "08/03/2022 08:13:38",
"content": "should i post it here?",
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"id": 1004361460270506000,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "08/03/2022 08:13:52",
"content": "#info",
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},
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"id": 1004361483838296000,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "08/03/2022 08:13:57",
"content": "PLEASE",
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},
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"id": 1004362274284245000,
"author_id": 550157251638329340,
"author_name": "Lime",
"timestamp": "08/03/2022 08:17:06",
"content": "that was easy, who knew huh?",
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"author_name": "Lime",
"timestamp": "08/03/2022 08:22:11",
"content": "i'm done i'm going to sleep",
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"timestamp": "08/03/2022 08:22:18",
"content": ".close",
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"content": "Channel closed",
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}
] |
help-9
|
e4fe06d85f654ec3aa0a024bc8de34c2
|
197,604 |
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{
"id": 959505620791332900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 13:32:46",
"content": "Available help channel!",
"attachments": [],
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},
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"id": 959507478628950100,
"author_id": 769639306729881600,
"author_name": "epifor",
"timestamp": "04/01/2022 13:40:09",
"content": "If a,b,c,d are positive numbers such that\n $\\frac{5a+b}{5c+d}$=$\\frac{6a+b}{6c+d}$ and $\\frac{7a+b}{7c+d}=8$\nWhat is the value of\n$\\frac{9a+b}{9c+d}$",
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"timestamp": "04/01/2022 13:40:10",
"content": "Pinned a message.",
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"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/01/2022 13:43:38",
"content": "**epifor**",
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"timestamp": "04/01/2022 13:43:45",
"content": "Finally",
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},
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"author_id": 769639306729881600,
"author_name": "epifor",
"timestamp": "04/01/2022 13:44:06",
"content": "I got from the first equality that ab=cd but apart from that, cannot see anything else",
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"timestamp": "04/01/2022 13:57:15",
"content": "@epifor Has your question been resolved?",
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"id": 959513128629076100,
"author_id": 769639306729881600,
"author_name": "epifor",
"timestamp": "04/01/2022 14:02:36",
"content": "@Helpers ?",
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},
{
"id": 959517617230577700,
"author_id": 788844644829495300,
"author_name": "Johan.",
"timestamp": "04/01/2022 14:20:26",
"content": "@epifor If 0 is counted as a positive number you can bruteforce this one",
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"id": 959517674931642400,
"author_id": 769639306729881600,
"author_name": "epifor",
"timestamp": "04/01/2022 14:20:40",
"content": "why would I bruteforce this",
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},
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"id": 959517682175193200,
"author_id": 788844644829495300,
"author_name": "Johan.",
"timestamp": "04/01/2022 14:20:42",
"content": "bcs u can just say a = 0, c = 0, d = 1, b = 8 and then u have 8",
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"author_id": 788844644829495300,
"author_name": "Johan.",
"timestamp": "04/01/2022 14:21:03",
"content": "but 0 probably wont be counted as a positive number bcs that would be a bit too easy",
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},
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"id": 959517941743886300,
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"author_name": "epifor",
"timestamp": "04/01/2022 14:21:44",
"content": "still, is that proof that it can only be 8?",
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},
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"id": 959520826858815500,
"author_id": 788844644829495300,
"author_name": "Johan.",
"timestamp": "04/01/2022 14:33:12",
"content": "@epifor Idk if this will be enough proof but I think I got it",
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"author_name": "Johan.",
"timestamp": "04/01/2022 14:36:20",
"content": "so u already said bc =ad, meaning b = ad/c\nyou can also find from the second equation that 56c+8d = 7a + b meaning that b = 56c+8d-7a\nad/c = 56c+8d-7a\nboth are linear equations and will intersect once (suppose they do with c=/=0 and a=/= 0 bcs then we can use my bruteforce method)\nnotice that ad/c = 7(8c-a) + 8d\nNow it becomes very plausible that a = 8c, filling this in makes 8d = 8d correct\n=> a = 8c \n=> b = 8d\n9a+b/9c+d = 72c+8d/(9c+d) = 8(9c+d)/(9c+d) = 8",
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"id": 959521951670489100,
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"author_name": "epifor",
"timestamp": "04/01/2022 14:37:40",
"content": "> Now it becomes very plausible that a = 8c\nwhy",
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"id": 959522146269409400,
"author_id": 769639306729881600,
"author_name": "epifor",
"timestamp": "04/01/2022 14:38:26",
"content": "how can we make that assumption",
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"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 15:08:26",
"content": "@epifor Has your question been resolved?",
"attachments": [],
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 16:08:37",
"content": "@epifor Has your question been resolved?",
"attachments": [],
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"id": 959546250875764900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/01/2022 16:14:13",
"content": "Use this to solve for `d`, then plug that `d` back into the first equation and get an equation for b and c in terms of a",
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"author_name": "epifor",
"timestamp": "04/01/2022 16:16:33",
"content": "I get\n$$ 8ab=7ac+bc-56c^2 $$",
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},
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"id": 959546855069470700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/01/2022 16:16:37",
"content": "then you'll have a b, c, and d in terms of a.",
"attachments": [],
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},
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"id": 959546899722035200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/01/2022 16:16:48",
"content": "if you do it right, you should be able to factor",
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},
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"id": 959546901508796500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/01/2022 16:16:48",
"content": "**epifor**",
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"author_name": "riemann",
"timestamp": "04/01/2022 16:18:14",
"content": "up to a constant it should look like this",
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"id": 959547582944776200,
"author_id": 769639306729881600,
"author_name": "epifor",
"timestamp": "04/01/2022 16:19:31",
"content": "wdym by up to a constant?",
"attachments": [],
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},
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"id": 959547687592665100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/01/2022 16:19:56",
"content": "If you divide this equation by 2 it's still true",
"attachments": [],
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"id": 959547849819967600,
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"author_name": "riemann",
"timestamp": "04/01/2022 16:20:34",
"content": "It doesn't affect the values you find for b and c in terms of a",
"attachments": [],
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},
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"id": 959548624214315000,
"author_id": 769639306729881600,
"author_name": "epifor",
"timestamp": "04/01/2022 16:23:39",
"content": "why wouldnt that be true",
"attachments": [],
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"id": 959548881182543900,
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"author_name": "riemann",
"timestamp": "04/01/2022 16:24:40",
"content": "a = b implies a/2 = b/2",
"attachments": [],
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"id": 959548898190438400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/01/2022 16:24:44",
"content": "do you understand that?",
"attachments": [],
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},
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"id": 959548975957037200,
"author_id": 769639306729881600,
"author_name": "epifor",
"timestamp": "04/01/2022 16:25:03",
"content": "yeah",
"attachments": [],
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},
{
"id": 959549021670760600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "04/01/2022 16:25:14",
"content": "that's what this means",
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},
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"id": 959549126712905700,
"author_id": 769639306729881600,
"author_name": "epifor",
"timestamp": "04/01/2022 16:25:39",
"content": "okay, thanks",
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},
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"id": 959549134090678300,
"author_id": 769639306729881600,
"author_name": "epifor",
"timestamp": "04/01/2022 16:25:41",
"content": ".close",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 16:25:41",
"content": "Channel closed",
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}
] |
help-9
|
0862418e6ef545c099653903ffb4f6bc
|
197,605 |
[
{
"id": 1004363839334268900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 08:23:19",
"content": "Available help channel!",
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},
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"content": "Pinned a message.",
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"author_name": "Deleted User",
"timestamp": "08/03/2022 08:35:56",
"content": "im confused on what this question is asking me",
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{
"id": 1004367032868941800,
"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/03/2022 08:36:00",
"content": "or what to do",
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},
{
"id": 1004367503893467300,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/03/2022 08:37:53",
"content": "we have x and y in terms of t right",
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"id": 1004367559774191600,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/03/2022 08:38:06",
"content": "we want a simple equation for y in terms of x",
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"id": 1004367586030538900,
"author_id": 697730177962344400,
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"timestamp": "08/03/2022 08:38:12",
"content": "just a normal function",
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"timestamp": "08/03/2022 08:42:28",
"content": "so swapping t for y",
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"content": "?",
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"timestamp": "08/03/2022 09:06:20",
"content": "@Deleted User Has your question been resolved?",
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"content": "Channel closed",
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help-9
|
556a43b05ade476c88f16079bbe6a6a3
|
197,606 |
[
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"timestamp": "08/03/2022 09:22:21",
"content": "Available help channel!",
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"content": "Pinned a message.",
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help-9
|
ec7474e3a0904e86b2015d408f3f2d6c
|
197,607 |
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"id": 1004380281526026200,
"author_id": 919270710168399900,
"author_name": "Fonty",
"timestamp": "08/03/2022 09:28:39",
"content": "Bruh",
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"content": "Available help channel!",
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},
{
"id": 1004382063568363600,
"author_id": 630948015120711700,
"author_name": "Axiom",
"timestamp": "08/03/2022 09:35:44",
"content": "How to Split LARGE numbers Easily",
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},
{
"id": 1004382064801484900,
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"timestamp": "08/03/2022 09:35:44",
"content": "Pinned a message.",
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{
"id": 1004382094421659800,
"author_id": 630948015120711700,
"author_name": "Axiom",
"timestamp": "08/03/2022 09:35:51",
"content": "middle term splitting",
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},
{
"id": 1004382854463111300,
"author_id": 953405197592453100,
"author_name": "ຕKຕaబrຕlబMຕaబrຕx益;)",
"timestamp": "08/03/2022 09:38:53",
"content": "What!?",
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},
{
"id": 1004382969756143700,
"author_id": 953405197592453100,
"author_name": "ຕKຕaబrຕlబMຕaబrຕx益;)",
"timestamp": "08/03/2022 09:39:20",
"content": "U can use quadratic formula",
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"id": 1004383622607941800,
"author_id": 630948015120711700,
"author_name": "Axiom",
"timestamp": "08/03/2022 09:41:56",
"content": "sometimes when u're asked to use middle term splitting",
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},
{
"id": 1004386652837388400,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/03/2022 09:53:58",
"content": "know your times tables\nand approximate sizes of products",
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},
{
"id": 1004386903514157200,
"author_id": 630948015120711700,
"author_name": "Axiom",
"timestamp": "08/03/2022 09:54:58",
"content": "ahh seems like that's the only other way?",
"attachments": [],
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"reference": null
},
{
"id": 1004387155860259000,
"author_id": 766268632703434800,
"author_name": "kinglacto",
"timestamp": "08/03/2022 09:55:58",
"content": "or use quadratic formula to find the roots and you can work your way up to the middle terms ... and present only that in your answer",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004388397852397700,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/03/2022 10:00:54",
"content": "what do you consider as \"large\"",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004388847876051100,
"author_id": 630948015120711700,
"author_name": "Axiom",
"timestamp": "08/03/2022 10:02:41",
"content": "big numbers",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004388854515646500,
"author_id": 630948015120711700,
"author_name": "Axiom",
"timestamp": "08/03/2022 10:02:43",
"content": "like",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004388880717467600,
"author_id": 630948015120711700,
"author_name": "Axiom",
"timestamp": "08/03/2022 10:02:49",
"content": "three or four digits",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004389294133223600,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/03/2022 10:04:28",
"content": "then yeh, consider what i mentioned (assuming that what you're given is nicely factorable)",
"attachments": [],
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"reference": null
},
{
"id": 1004389738003833000,
"author_id": 630948015120711700,
"author_name": "Axiom",
"timestamp": "08/03/2022 10:06:14",
"content": "will do that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004389753774420100,
"author_id": 630948015120711700,
"author_name": "Axiom",
"timestamp": "08/03/2022 10:06:17",
"content": "thanks a lot",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004389769163325600,
"author_id": 630948015120711700,
"author_name": "Axiom",
"timestamp": "08/03/2022 10:06:21",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004389770857812000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 10:06:22",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
32609e27f1fa48c6b2d79aad9be90b0a
|
197,608 |
[
{
"id": 1004390024583852000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 10:07:22",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004390817231802500,
"author_id": 773044640202883100,
"author_name": "𝐀𝐍𝐎𝐍𝐘𝐌𝐎𝐔𝐒𝟒𝐮",
"timestamp": "08/03/2022 10:10:31",
"content": "guys 1 quick question\nif me and my frnd have 4kg of salt and we want to divide it in 2-2 but we dont have any weighing machine but we have 3 bowls 3kg 5kg and 8kg how to divide?",
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"mentions": [],
"reference": null
},
{
"id": 1004390819618365400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 10:10:32",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
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"messageId": 1004390817231802500,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1004391958925545500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/03/2022 10:15:03",
"content": "might not be possible as stated?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004391999593521300,
"author_id": 856447591834976300,
"author_name": "Ryuzaki",
"timestamp": "08/03/2022 10:15:13",
"content": "yea this seems impossible",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004392495460921500,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 10:17:11",
"content": "no",
"attachments": [],
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"reference": null
},
{
"id": 1004392502951948400,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 10:17:13",
"content": "you can",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004392520979066900,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 10:17:17",
"content": "look",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004392576192880600,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 10:17:30",
"content": "you put the 4kgs in the 5k bowl",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004392608593879200,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 10:17:38",
"content": "wait no",
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"reference": null
},
{
"id": 1004392630882418700,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 10:17:43",
"content": "in the 3kg bowl",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004392700340097000,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 10:18:00",
"content": "wait nvm",
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},
{
"id": 1004392720627933200,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 10:18:05",
"content": "didnt say anything",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004392829415604200,
"author_id": 626379040667992000,
"author_name": "cocat",
"timestamp": "08/03/2022 10:18:31",
"content": "You can do it if you have an unlimited supply of salt and you want to get 2kgs into two of them",
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},
{
"id": 1004393770789376100,
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"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:22:15",
"content": "You can't",
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"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:22:30",
"content": "You could if you had 5kg",
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"reference": null
},
{
"id": 1004393861885472900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:22:37",
"content": "And divvy up into 2-3",
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"reference": null
},
{
"id": 1004393910006730800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:22:48",
"content": "But you feasibly cannot",
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},
{
"id": 1004393934845390800,
"author_id": 773044640202883100,
"author_name": "𝐀𝐍𝐎𝐍𝐘𝐌𝐎𝐔𝐒𝟒𝐮",
"timestamp": "08/03/2022 10:22:54",
"content": "I will ki ll my teacher today I wasted my 4hr 🙂",
"attachments": [],
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},
{
"id": 1004393954487324700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:22:59",
"content": "I mean",
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},
{
"id": 1004393965694484500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:23:02",
"content": "Well",
"attachments": [],
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},
{
"id": 1004393985374167300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:23:06",
"content": "Here's ONE way I guess",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004394042139885600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:23:20",
"content": "Well nvm it'll just split into 3-1",
"attachments": [],
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"reference": null
},
{
"id": 1004394117666717700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:23:38",
"content": "Here's what you do",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004394133173043200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:23:42",
"content": "Dump the salt onto the ground",
"attachments": [],
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},
{
"id": 1004394149006540900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:23:45",
"content": "Burn it",
"attachments": [],
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},
{
"id": 1004394155067322500,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/03/2022 10:23:47",
"content": "~~maybe its lateral thinking - put the 3kg bowl in the 5kg and there will be 2kg of space left~~",
"attachments": [],
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"reference": null
},
{
"id": 1004394192576991200,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:23:56",
"content": "That's dumb",
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},
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"id": 1004394205973577900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:23:59",
"content": "That's just stupid and dumb",
"attachments": [],
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},
{
"id": 1004394298017583100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:24:21",
"content": "But sure",
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"reference": null
},
{
"id": 1004394305135317000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:24:23",
"content": "It might work",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004394349192302600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:24:33",
"content": "Assuming that any variance in mass is negligible",
"attachments": [],
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"reference": null
},
{
"id": 1004394406461329500,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/03/2022 10:24:47",
"content": "yeah, the bowl needs to be the same density as the salt lmao",
"attachments": [],
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"reference": null
},
{
"id": 1004394508143841300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:25:11",
"content": "Hold on what is the density of pure sodium chloride",
"attachments": [],
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"reference": null
},
{
"id": 1004394513982292100,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 10:25:12",
"content": "honestly",
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"reference": null
},
{
"id": 1004394523956347000,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 10:25:15",
"content": "just eyeball it",
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},
{
"id": 1004394568487276700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:25:25",
"content": "2.17 g/cm^3",
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},
{
"id": 1004394598631747700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:25:33",
"content": "What kind of bowl will be 2.17 g/cm^3",
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"reference": null
},
{
"id": 1004394614574305300,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 10:25:36",
"content": "\\\\_(ツ)_/",
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},
{
"id": 1004394671067386000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:25:50",
"content": "Ceramic is almost 3x as dense",
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},
{
"id": 1004394739539390500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:26:06",
"content": "#❓how-to-get-help",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004394793494905000,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:26:19",
"content": "Okay, assume the bowls are made out of carbon fiber",
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},
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"id": 1004394813069734000,
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"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 10:26:24",
"content": "no",
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{
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},
{
"id": 1004394855553839100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:26:34",
"content": "https://tenor.com/view/roblox-gif-25300545",
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},
{
"id": 1004394963171299300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:26:59",
"content": "#❓how-to-get-help",
"attachments": [],
"mentions": [
{
"id": 727449103084159000,
"name": "Prakash",
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}
],
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},
{
"id": 1004394971849306100,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:27:02",
"content": "Is this a test?",
"attachments": [],
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},
{
"id": 1004395061351563400,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:27:23",
"content": "Bro if you had managed your time maybe you wouldn't have to be in such a dire situation",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004395095421890800,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:27:31",
"content": "Or if this is a timed test, you've come to the wrong place",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004395171640770600,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 10:27:49",
"content": "read the rules",
"attachments": [],
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},
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"id": 1004395179463155700,
"author_id": 907667015756574800,
"author_name": "Asagao 朝顔",
"timestamp": "08/03/2022 10:27:51",
"content": "god",
"attachments": [],
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"reference": null
},
{
"id": 1004395180729835500,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:27:51",
"content": "@Moderators funny man",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004395219321622700,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:28:01",
"content": "Caught in 4K",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004395266104885400,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 10:28:12",
"content": "Moderators getting heavily pinged today",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004397710792720400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 10:37:55",
"content": "@𝐀𝐍𝐎𝐍𝐘𝐌𝐎𝐔𝐒𝟒𝐮 Has your question been resolved?",
"attachments": [],
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"id": 1004401486379360400,
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"timestamp": "08/03/2022 10:52:55",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
51090885eb354793ae63d8ddb0a89482
|
197,609 |
[
{
"id": 1004401739832758400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 10:53:55",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004402984496668700,
"author_id": 655771455039995900,
"author_name": "Cripple",
"timestamp": "08/03/2022 10:58:52",
"content": "hello",
"attachments": [],
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"reference": null
},
{
"id": 1004402987566907600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 10:58:53",
"content": "Pinned a message.",
"attachments": [],
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"channelId": 486844875632017400,
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}
},
{
"id": 1004403175421386900,
"author_id": 655771455039995900,
"author_name": "Cripple",
"timestamp": "08/03/2022 10:59:37",
"content": "why does finding out the product a number's prime factors' powers + 1 result the amount of divisors a number has?",
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},
{
"id": 1004403229536309200,
"author_id": 655771455039995900,
"author_name": "Cripple",
"timestamp": "08/03/2022 10:59:50",
"content": "example:",
"attachments": [],
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"reference": null
},
{
"id": 1004403321647419400,
"author_id": 655771455039995900,
"author_name": "Cripple",
"timestamp": "08/03/2022 11:00:12",
"content": "",
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"timestamp": "08/03/2022 11:15:13",
"content": "@Cripple Has your question been resolved?",
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"id": 1004409009056526300,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "08/03/2022 11:22:48",
"content": "A divisor of a number must have a sufficiently similar prime factorisation",
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"id": 1004409231597899900,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "08/03/2022 11:23:41",
"content": "Specifically if a prime power p^n divides a number, then powers of p may be present in divisors, but not those exceeding p^n",
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"id": 1004409437005549600,
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"author_name": "Boytjie",
"timestamp": "08/03/2022 11:24:30",
"content": "So given a prime power p^n dividing a number, we can choose any power of p from p^0 to p^n for a divisor to have",
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"timestamp": "08/03/2022 11:24:39",
"content": "This is n+1 choices :)",
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"id": 1004409514918940800,
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"author_name": "Boytjie",
"timestamp": "08/03/2022 11:24:49",
"content": "Repeat for all prime divisors",
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"id": 1004410015198761000,
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"author_name": "Boytjie",
"timestamp": "08/03/2022 11:26:48",
"content": "For 12, we know 12 = 2^2 x 3^1, and divisors choose the power of 2 and 3 it factors into. This is 3x2=6 choices",
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"id": 1004410039269859500,
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"author_name": "Cripple",
"timestamp": "08/03/2022 11:26:54",
"content": "would you mind making something in paint so i can understand better?",
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"id": 1004410071796682800,
"author_id": 655771455039995900,
"author_name": "Cripple",
"timestamp": "08/03/2022 11:27:02",
"content": "dont't really get it like this",
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"author_name": "Boytjie",
"timestamp": "08/03/2022 11:27:16",
"content": "No, I do not have access to paint rn.",
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"id": 1004410873516920800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 11:30:13",
"content": "Channel closed",
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}
] |
help-9
|
63b2cc13ddfd4b8ba901350e2c1bb762
|
197,610 |
[
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"id": 1004411125762375700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 11:31:13",
"content": "Available help channel!",
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},
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"id": 1004411719000539300,
"author_id": 655771455039995900,
"author_name": "Cripple",
"timestamp": "08/03/2022 11:33:34",
"content": "yeh i don't unuderstand it from the text alone",
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},
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"id": 1004411721034764300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 11:33:35",
"content": "Pinned a message.",
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"author_id": 655771455039995900,
"author_name": "Cripple",
"timestamp": "08/03/2022 11:34:20",
"content": "if you can make something in paint or something along those lines i'll be waiting",
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},
{
"id": 1004411938727542900,
"author_id": 655771455039995900,
"author_name": "Cripple",
"timestamp": "08/03/2022 11:34:27",
"content": "thanks",
"attachments": [],
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"reference": null
},
{
"id": 1004412024446533600,
"author_id": 655771455039995900,
"author_name": "Cripple",
"timestamp": "08/03/2022 11:34:47",
"content": "or someone else can try explaining it idk",
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"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 11:49:47",
"content": "@Cripple Has your question been resolved?",
"attachments": [],
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"id": 1004417200569974900,
"author_id": 238756580026351600,
"author_name": "Boytjie",
"timestamp": "08/03/2022 11:55:21",
"content": "If you could clarify what you don’t understand I might be able to help. Again though, I do not have access to paint and frankly fail to see how it would be useful here.",
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},
{
"id": 1004417207767421000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/03/2022 11:55:23",
"content": "https://math.stackexchange.com/questions/433848/prime-factors-number-of-divisors#:~:text=Let%20d(n)%20be%20the,c%2B1)...",
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"id": 1004418812642349200,
"author_id": 655771455039995900,
"author_name": "Cripple",
"timestamp": "08/03/2022 12:01:46",
"content": "https://mathschallenge.net/library/number/number_of_divisors",
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},
{
"id": 1004418831252463700,
"author_id": 655771455039995900,
"author_name": "Cripple",
"timestamp": "08/03/2022 12:01:50",
"content": "found this link there",
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"id": 1004418906758336600,
"author_id": 655771455039995900,
"author_name": "Cripple",
"timestamp": "08/03/2022 12:02:08",
"content": "and now i feel like understand it",
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},
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"id": 1004418944804860000,
"author_id": 655771455039995900,
"author_name": "Cripple",
"timestamp": "08/03/2022 12:02:17",
"content": "thanks",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1004418952279118000,
"author_id": 655771455039995900,
"author_name": "Cripple",
"timestamp": "08/03/2022 12:02:19",
"content": ".close",
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},
{
"id": 1004418954787307600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 12:02:20",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
7ca3c576b72940b5a15ccac56e6e14b2
|
197,611 |
[
{
"id": 1004419207489913000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 12:03:20",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1004424616820879400,
"author_id": 769864393617440800,
"author_name": "tahini245",
"timestamp": "08/03/2022 12:24:49",
"content": "> Find the unit vector in the same direction as the following vector:\n> i + tan(β)j",
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},
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"id": 1004424619790438500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 12:24:50",
"content": "Pinned a message.",
"attachments": [],
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{
"id": 1004424756809973900,
"author_id": 769864393617440800,
"author_name": "tahini245",
"timestamp": "08/03/2022 12:25:23",
"content": "the answer in my maths book says that it's\ncos(β)i + sin(β)j",
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"id": 1004424792855826400,
"author_id": 769864393617440800,
"author_name": "tahini245",
"timestamp": "08/03/2022 12:25:31",
"content": "but i don't understand how you arrive at that",
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{
"id": 1004425585264697500,
"author_id": 769864393617440800,
"author_name": "tahini245",
"timestamp": "08/03/2022 12:28:40",
"content": "i understand that you have to find the magnitude of the vector first",
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{
"id": 1004425689899999200,
"author_id": 769864393617440800,
"author_name": "tahini245",
"timestamp": "08/03/2022 12:29:05",
"content": "but how do you evaluate sqrt(1 + tan^2(β))",
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},
{
"id": 1004425861354758100,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/03/2022 12:29:46",
"content": "well",
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},
{
"id": 1004425898927325300,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/03/2022 12:29:55",
"content": "you know the pythagorean identities right?",
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"id": 1004426007773716700,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/03/2022 12:30:21",
"content": "$$sec^2(x)-tan^2(x)=1$$",
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"id": 1004426018796355700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/03/2022 12:30:24",
"content": "**Legolas**",
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"id": 1004426104385319000,
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"author_name": "tahini245",
"timestamp": "08/03/2022 12:30:44",
"content": "no i haven't learnt sec yet",
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},
{
"id": 1004426135741931500,
"author_id": 769864393617440800,
"author_name": "tahini245",
"timestamp": "08/03/2022 12:30:52",
"content": "so i'm assuming you shouldn't need it for this question",
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"id": 1004426177458487300,
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"author_name": "Tarek Ahmed",
"timestamp": "08/03/2022 12:31:02",
"content": "well no need for it anyways",
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"id": 1004426193413603300,
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"author_name": "Tarek Ahmed",
"timestamp": "08/03/2022 12:31:05",
"content": "do you know this rule",
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{
"id": 1004426237936148600,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/03/2022 12:31:16",
"content": "$$sin^2(x)+cos^2(x)=1$$",
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"id": 1004426248216400100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/03/2022 12:31:18",
"content": "**Legolas**",
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"id": 1004426252561698800,
"author_id": 769864393617440800,
"author_name": "tahini245",
"timestamp": "08/03/2022 12:31:19",
"content": "yeah",
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"id": 1004426368072818800,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/03/2022 12:31:47",
"content": "divide evrything by cos^2(x)",
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"id": 1004426424565891200,
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"author_name": "Tarek Ahmed",
"timestamp": "08/03/2022 12:32:00",
"content": "it becomes",
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{
"id": 1004426523215921200,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/03/2022 12:32:24",
"content": "$$tan^2(x)+1=\\frac{1}{cos^2(x)}$$",
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},
{
"id": 1004426535371014300,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/03/2022 12:32:27",
"content": "**Legolas**",
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"author_name": "Tarek Ahmed",
"timestamp": "08/03/2022 12:32:47",
"content": "which is precisely what we have here",
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"id": 1004426719291248800,
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"author_name": "tahini245",
"timestamp": "08/03/2022 12:33:11",
"content": "ooohhhh",
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"id": 1004426751562227700,
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"author_name": "tahini245",
"timestamp": "08/03/2022 12:33:18",
"content": "tysm",
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"id": 1004426843140673700,
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"author_name": "Tarek Ahmed",
"timestamp": "08/03/2022 12:33:40",
"content": "no problem",
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"timestamp": "08/03/2022 12:48:19",
"content": "@tahini245 Has your question been resolved?",
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"timestamp": "08/03/2022 13:03:19",
"content": "Channel closed",
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}
] |
help-9
|
7ad99a10627647868349d510bf82b4e2
|
197,612 |
[
{
"id": 1004438937919566000,
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"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 13:21:44",
"content": "Available help channel!",
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},
{
"id": 1004445311277736100,
"author_id": 442672754739642400,
"author_name": "hol up",
"timestamp": "08/03/2022 13:47:03",
"content": "can someone help me prove the following",
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"timestamp": "08/03/2022 13:47:04",
"content": "Pinned a message.",
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"id": 1004445402646446100,
"author_id": 442672754739642400,
"author_name": "hol up",
"timestamp": "08/03/2022 13:47:25",
"content": "i.e. that the nth derivative of tan, evaluated at 0, will be 0 if n is even and 1 if n is odd",
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},
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"id": 1004445920177422300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/03/2022 13:49:29",
"content": ":thinkies: that doesn't look fun differentiating",
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},
{
"id": 1004445948426072200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/03/2022 13:49:35",
"content": ",w derivative tan(x)",
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},
{
"id": 1004445984820039800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/03/2022 13:49:44",
"content": "Results provided by WolframAlpha",
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},
{
"id": 1004445991094726800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/03/2022 13:49:45",
"content": ",w derivative sec^2(x)",
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},
{
"id": 1004446028709253100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/03/2022 13:49:54",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
{
"id": 1004446056127402100,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/03/2022 13:50:01",
"content": ",w derivative 2tan(x)sec^2(x)",
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},
{
"id": 1004446096539537500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/03/2022 13:50:11",
"content": "Results provided by WolframAlpha",
"attachments": [],
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},
{
"id": 1004446191209152500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/03/2022 13:50:33",
"content": ",w derivative 2sec^2(x)(2tan^2(x) + sec^2(x))",
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},
{
"id": 1004446231306703000,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/03/2022 13:50:43",
"content": "Results provided by WolframAlpha",
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},
{
"id": 1004446267268681700,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/03/2022 13:50:51",
"content": "yea no",
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"author_name": "hol up",
"timestamp": "08/03/2022 13:50:53",
"content": "thats about as much as i derived too, couldnt find a formula for the nth derivative though",
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"timestamp": "08/03/2022 13:50:56",
"content": "just go the taylor series route",
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"timestamp": "08/03/2022 13:51:32",
"content": "this question stemmed from me working with maclaurin series",
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"content": "i was doing it for tan, and i noticed only odd powers existed",
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"timestamp": "08/03/2022 13:51:52",
"content": "and I wanted to prove the pattern would continue",
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"timestamp": "08/03/2022 13:53:13",
"content": "i see. yea just use the fact (or prove it yourself) that the nth derivative of $x^m$ is $n!$ if $n=m$ and zero otherwise",
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"timestamp": "08/03/2022 13:53:16",
"content": "**riemann**",
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"timestamp": "08/03/2022 13:55:39",
"content": "i understand the first part, that the nth derivative of x^m is n! if n=m",
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"timestamp": "08/03/2022 13:55:46",
"content": "but why is it 0 otherwise?",
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"timestamp": "08/03/2022 13:56:42",
"content": "i get that if n > m it would be 0",
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"timestamp": "08/03/2022 13:57:19",
"content": "If m<n, then it's 0",
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"author_name": "hol up",
"timestamp": "08/03/2022 13:57:34",
"content": "but what about when m>n",
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"author_name": "hol up",
"timestamp": "08/03/2022 13:57:44",
"content": "then this doesn't hold, right?",
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"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 13:57:58",
"content": "$x^m \\rightarrow \\frac{(m-n)!}{n!}x^{m-n}$",
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"timestamp": "08/03/2022 13:58:03",
"content": "I think",
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"timestamp": "08/03/2022 13:58:05",
"content": "Lemme check",
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"timestamp": "08/03/2022 13:58:16",
"content": "That should be correct",
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"timestamp": "08/03/2022 13:59:27",
"content": "hmm i dont think so...",
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"timestamp": "08/03/2022 13:59:45",
"content": "how do you format btw?",
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"timestamp": "08/03/2022 13:59:56",
"content": "Maybe this",
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"id": 1004448573615788000,
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"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 14:00:01",
"content": "Fuck",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 14:00:10",
"content": "Wdym format",
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"author_name": "TeXit",
"timestamp": "08/03/2022 14:00:11",
"content": "**Umbraleviathan**",
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"timestamp": "08/03/2022 14:00:19",
"content": "how do you type this",
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"timestamp": "08/03/2022 14:00:26",
"content": "else ive gotta upload a screenshot from my notes",
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"timestamp": "08/03/2022 14:00:26",
"content": "Using LaTeX format",
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"id": 1004448685519818900,
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"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 14:00:28",
"content": "Uh",
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"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 14:00:35",
"content": "You can Google how to latex stuff",
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"timestamp": "08/03/2022 14:01:36",
"content": "",
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"timestamp": "08/03/2022 14:01:49",
"content": "Oh wait hold on",
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"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 14:01:52",
"content": "Yeah shojld be that",
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"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 14:01:56",
"content": "I flipped things around",
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"author_name": "hol up",
"timestamp": "08/03/2022 14:02:15",
"content": "but regardless, how does this help prove this",
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"timestamp": "08/03/2022 14:04:18",
"content": "Lemme verify if this is true",
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"timestamp": "08/03/2022 14:05:23",
"content": "Should be $\\frac{m!}{(m-n!)}x^{m-n}$",
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"timestamp": "08/03/2022 14:05:46",
"content": "**Umbraleviathan**",
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"timestamp": "08/03/2022 14:06:11",
"content": "my bad for the confusion. i mean the nth derivative _evaluated at x=0_",
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"timestamp": "08/03/2022 14:06:32",
"content": "thanks umbra for attempting to save me from embarrassment",
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"timestamp": "08/03/2022 14:06:35",
"content": "Riemann you idiot",
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"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 14:06:39",
"content": "You fool",
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"id": 1004450270190776300,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 14:06:46",
"content": "Caught in 4K",
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"id": 1004450363518226600,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/03/2022 14:07:08",
"content": "ok good as long as it isn't 144p",
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"id": 1004450509861691500,
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"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 14:07:43",
"content": "You know it's funny I'm listening to \"Mathematics\" by Mos Def rn",
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"timestamp": "08/03/2022 14:09:04",
"content": "Great song. I should add it to my playlists",
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"timestamp": "08/03/2022 14:09:30",
"content": "Apply my corrected statement",
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"timestamp": "08/03/2022 14:09:42",
"content": "it's not true btw, only that even derivatives are 0",
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"timestamp": "08/03/2022 14:09:49",
"content": "the third derivative evaluated at 0 is 2",
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"timestamp": "08/03/2022 14:09:58",
"content": "5th derivative evaluated at 0 is 16",
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"timestamp": "08/03/2022 14:10:12",
"content": "What's not true",
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"timestamp": "08/03/2022 14:10:49",
"content": "the nth derivative of tan evaluated at 0, given n is even, is 0...?",
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"id": 1004451404297023500,
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"author_name": "riemann",
"timestamp": "08/03/2022 14:11:16",
"content": ",w Taylor series tan(x)",
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"author_name": "TeXit",
"timestamp": "08/03/2022 14:11:19",
"content": "Results provided by WolframAlpha",
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"id": 1004451532277821400,
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"author_name": "riemann",
"timestamp": "08/03/2022 14:11:47",
"content": "The 5th derivative of tan(x) at zero is 5! * 2/15",
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"timestamp": "08/03/2022 14:12:03",
"content": "All even derivatives of tan(x) at zero is 0",
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"id": 1004451639454879900,
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"timestamp": "08/03/2022 14:12:12",
"content": ",calc 120*2/15",
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"timestamp": "08/03/2022 14:12:13",
"content": "Result:\n```\n16\n```",
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"timestamp": "08/03/2022 14:12:20",
"content": "which is what i said",
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"timestamp": "08/03/2022 14:12:25",
"content": ".",
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"id": 1004451751392452700,
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"timestamp": "08/03/2022 14:12:39",
"content": "i realised my mistake earlier",
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"timestamp": "08/03/2022 14:13:05",
"content": "So now you have a general formula for any nth derivative of tan(x) at zero",
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"timestamp": "08/03/2022 14:13:27",
"content": "What the hell is O",
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"content": "O(x^7)",
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"timestamp": "08/03/2022 14:13:44",
"content": "\"Higher order terms\"",
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"id": 1004452052811919500,
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"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 14:13:51",
"content": "Oh",
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"id": 1004452091646971900,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/03/2022 14:14:00",
"content": "Stupid that it looks like a fat 0",
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"id": 1004452140888105000,
"author_id": 182179228840755200,
"author_name": "iCaird",
"timestamp": "08/03/2022 14:14:12",
"content": "lol is literally called big O notation",
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"id": 1004452197016273000,
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"author_name": "riemann",
"timestamp": "08/03/2022 14:14:25",
"content": "Vague and useless. But I'm too lazy to write the actual closed form Taylor series",
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"id": 1004452207975989400,
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"author_name": "iCaird",
"timestamp": "08/03/2022 14:14:28",
"content": "we will from now on call it fat 0 notation",
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"id": 1004452289475514500,
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"timestamp": "08/03/2022 14:14:47",
"content": "Ah",
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},
{
"id": 1004452336233623700,
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"timestamp": "08/03/2022 14:14:58",
"content": "Matrix multiplication takes fat O of n^3",
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},
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"id": 1004455528191238100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 14:27:39",
"content": "@hol up Has your question been resolved?",
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"timestamp": "08/03/2022 14:42:40",
"content": "Channel closed",
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}
] |
help-9
|
c57ddcf1fa214ab68131ceb88c6767e8
|
197,613 |
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"content": "Available help channel!",
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"timestamp": "08/03/2022 14:52:02",
"content": "Pinned a message.",
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"author_name": "ShrewdKing",
"timestamp": "08/03/2022 14:52:17",
"content": "i tried solving 1 a but couldnt",
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"timestamp": "08/03/2022 14:52:34",
"content": "i tried find the total length of AB",
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"timestamp": "08/03/2022 14:52:57",
"content": "and used the ration to find the length of AP and PB",
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"author_name": "Toby",
"timestamp": "08/03/2022 14:53:20",
"content": "since AB is a straight line, you can take the ratios coordinatewise",
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"author_name": "Toby",
"timestamp": "08/03/2022 14:53:47",
"content": "instead of finding the length, finding a parametrisation of the line, then translating the length to a point",
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"timestamp": "08/03/2022 14:55:25",
"content": "i dont understand, wdym by parametrisation",
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"timestamp": "08/03/2022 14:55:36",
"content": "an equation for the line",
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"author_name": "ShrewdKing",
"timestamp": "08/03/2022 14:56:08",
"content": "so once i find the equation of the line what do i do next",
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"timestamp": "08/03/2022 14:56:50",
"content": "then find the point on the line that is the length AP away from A",
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"timestamp": "08/03/2022 14:57:16",
"content": "(but it is much easier to just look at the x and y coords separately and the answer becomes 2 lines long)",
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"timestamp": "08/03/2022 14:57:42",
"content": "ik length of AP is 66",
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"timestamp": "08/03/2022 14:57:52",
"content": "but idk how to find the point",
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"timestamp": "08/03/2022 15:02:02",
"content": "suppose P has coordinates (x,y) on the line AB, then you can solve two equations (distance formula and line equation) in two unknowns (x and y)",
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"timestamp": "08/03/2022 15:02:56",
"content": "though I still highly recommend using the fact that (10-(-2))/4=3 and (19-3)/4=4 instead to skip using the distance formula",
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"timestamp": "08/03/2022 15:04:21",
"content": "what coordinates would this find",
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"timestamp": "08/03/2022 15:04:34",
"content": "ik it's (3,4) but how do i use it",
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"timestamp": "08/03/2022 15:05:52",
"content": "abusing notation, P is A+(3,4)= (1,7)",
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"timestamp": "08/03/2022 15:06:19",
"content": "and you can verify this is consistent with your previous working by working out the distance",
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"timestamp": "08/03/2022 15:07:21",
"content": "would that also translate to P is B+(3,21)?",
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"timestamp": "08/03/2022 15:08:58",
"content": "no, it would be B-3*(3,4)",
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"timestamp": "08/03/2022 15:10:46",
"content": "basically, the ratio along the actual line, can be projected onto each axis",
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"timestamp": "08/03/2022 15:10:54",
"content": "ohh ok",
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"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:11:23",
"content": "so this is dividing the line into 4 parts?",
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"timestamp": "08/03/2022 15:11:31",
"content": "yeah",
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"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:12:00",
"content": "so the distance between each part is (3,4)?",
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"timestamp": "08/03/2022 15:12:05",
"content": "yes",
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"timestamp": "08/03/2022 15:12:14",
"content": "3 in the x direction, 4 in the y",
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"timestamp": "08/03/2022 15:12:21",
"content": "ohh ok",
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"timestamp": "08/03/2022 15:13:07",
"content": "i think i kinda understand",
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"timestamp": "08/03/2022 15:13:37",
"content": "thank you",
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"timestamp": "08/03/2022 15:13:44",
"content": "umm i have one more question",
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"timestamp": "08/03/2022 15:14:02",
"content": "sure",
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"timestamp": "08/03/2022 15:14:11",
"content": "",
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"timestamp": "08/03/2022 15:14:12",
"content": "i cant solve 2",
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"timestamp": "08/03/2022 15:14:19",
"content": "i think i did a and b right tho",
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"timestamp": "08/03/2022 15:14:28",
"content": "becos i got a to be 7.07",
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"timestamp": "08/03/2022 15:14:37",
"content": "and b as y=-2x+6",
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"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:15:06",
"content": "does c have the same y value as a",
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"timestamp": "08/03/2022 15:18:14",
"content": "how did you get 7.07? I'm not getting that",
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"timestamp": "08/03/2022 15:19:00",
"content": "root of ((-3-4)^2+(2-1)^2)",
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"timestamp": "08/03/2022 15:19:10",
"content": "ohh",
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"timestamp": "08/03/2022 15:19:15",
"content": "i messed up",
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"timestamp": "08/03/2022 15:19:19",
"content": "switched the values",
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"timestamp": "08/03/2022 15:19:25",
"content": "yeah",
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"timestamp": "08/03/2022 15:19:31",
"content": "but b looks right to me",
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"timestamp": "08/03/2022 15:19:42",
"content": "thnx",
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"timestamp": "08/03/2022 15:19:44",
"content": "and no, c does not have the same yvalue as a",
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"timestamp": "08/03/2022 15:19:51",
"content": "hmm ok",
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"timestamp": "08/03/2022 15:20:06",
"content": "how do i find C then",
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"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:21:14",
"content": "4.47?",
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"timestamp": "08/03/2022 15:21:28",
"content": "yup",
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"timestamp": "08/03/2022 15:21:34",
"content": "aight, thnx",
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"timestamp": "08/03/2022 15:23:19",
"content": "C will be distance 4.47 from B along the line BC",
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"timestamp": "08/03/2022 15:24:10",
"content": "I dont see any shortcut to do it this time, so we need to look at the distance formula between B and C=(x,y), then substitute the equation of the line in for y. Then solve for the two x's",
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"timestamp": "08/03/2022 15:24:36",
"content": "how did u find that",
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"timestamp": "08/03/2022 15:24:51",
"content": "ohh nvm",
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"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:26:02",
"content": "so i equate the formula to 4.47?",
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"id": 1004470397460299900,
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"timestamp": "08/03/2022 15:26:44",
"content": "yes",
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"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:28:06",
"content": "oh ok",
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"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:28:33",
"content": "is b y=3/4x+31/4",
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"timestamp": "08/03/2022 15:31:34",
"content": "I get -3/4x+31/4",
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"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:32:19",
"content": "ohh yh, mb",
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"id": 1004471951995195600,
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"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:32:55",
"content": "thats what i got , i just didnt put the minus sign there😅",
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"timestamp": "08/03/2022 15:33:55",
"content": "lol nice",
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"id": 1004472425167196400,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/03/2022 15:34:48",
"content": "(i also recommend geogebra to check your answers: <https://www.geogebra.org/calculator/tyxbufdv>)",
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"id": 1004472628133769200,
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"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:35:36",
"content": "thnx",
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"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:36:06",
"content": "i got 12.5 for the area",
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"timestamp": "08/03/2022 15:36:11",
"content": "is that right?",
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"timestamp": "08/03/2022 15:37:08",
"content": "yup",
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"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:38:18",
"content": "thank you so much for your help",
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"id": 1004473357619695700,
"author_id": 605159647715786900,
"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:38:30",
"content": "i think thats all my questions for now",
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"author_name": "Toby",
"timestamp": "08/03/2022 15:38:32",
"content": "yw :)",
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"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:38:35",
"content": "oh and u code?",
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"id": 1004473409784262800,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/03/2022 15:38:43",
"content": "not well, why?",
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},
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"author_id": 605159647715786900,
"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:38:57",
"content": "so u r a beginner?",
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"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:39:05",
"content": "i was just curious",
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"author_name": "Toby",
"timestamp": "08/03/2022 15:39:18",
"content": "lol",
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},
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"author_name": "Toby",
"timestamp": "08/03/2022 15:39:36",
"content": "yea",
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"timestamp": "08/03/2022 15:39:51",
"content": "but do u code often tho",
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"timestamp": "08/03/2022 15:39:59",
"content": "nah not often",
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},
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"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:40:29",
"content": "ohh ok, what do u plan on doing as a profession",
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},
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"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:40:35",
"content": "just curious",
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},
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"id": 1004473894998126700,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/03/2022 15:40:38",
"content": "¯\\_(ツ)_/¯",
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},
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"id": 1004473975499411600,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/03/2022 15:40:57",
"content": "thats a question for future me to deal with",
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},
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"id": 1004474069149814800,
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"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:41:20",
"content": "lol",
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},
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"id": 1004474112581836800,
"author_id": 605159647715786900,
"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:41:30",
"content": "what grade r u in tho",
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},
{
"id": 1004475288631115800,
"author_id": 605159647715786900,
"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:46:11",
"content": "u dont wanna say?",
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"id": 1004475454801068000,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/03/2022 15:46:50",
"content": "i dont feel like doxxing myself lmao",
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"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:47:07",
"content": "oh ok thats fine",
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},
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"id": 1004475565031571500,
"author_id": 605159647715786900,
"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:47:16",
"content": "thank you so so much tho",
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},
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"id": 1004475809630785700,
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"author_name": "Toby",
"timestamp": "08/03/2022 15:48:15",
"content": "np",
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},
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"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:48:29",
"content": "bye",
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},
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"author_name": "ShrewdKing",
"timestamp": "08/03/2022 15:56:22",
"content": ".close",
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},
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"id": 1004477853083123700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/03/2022 15:56:22",
"content": "Channel closed",
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}
] |
help-9
|
2e7146d948ae4e93af7968cfced80bfd
|
197,614 |
[
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"timestamp": "08/03/2022 15:57:22",
"content": "Available help channel!",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/03/2022 16:53:29",
"content": "can anyone help me answer this question",
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},
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"id": 1004492547810398200,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/03/2022 16:54:45",
"content": "well",
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},
{
"id": 1004492603837907100,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/03/2022 16:54:59",
"content": "we know x = 4-6t andd y=3t",
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},
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"id": 1004492657189453800,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/03/2022 16:55:12",
"content": "so t = y/3 from our second equation",
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{
"id": 1004492701581971500,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/03/2022 16:55:22",
"content": "substitute y/3 for t in our first equation",
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"id": 1004492719541985300,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/03/2022 16:55:26",
"content": "then solve for y in terms of x",
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"id": 1004492734326902900,
"author_id": 697730177962344400,
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"timestamp": "08/03/2022 16:55:30",
"content": "to make it a function",
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"id": 1004493480149655700,
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"author_name": "Deleted User",
"timestamp": "08/03/2022 16:58:28",
"content": "-x/2+2?",
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"timestamp": "08/03/2022 16:59:38",
"content": "seems right",
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"timestamp": "08/03/2022 16:59:42",
"content": "thank you",
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"id": 1004493935676244100,
"author_id": 697730177962344400,
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"timestamp": "08/03/2022 17:00:16",
"content": "yeah correct",
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"content": ".close",
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"content": "Channel closed",
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] |
help-9
|
7c890dc1110147628330212e211381a2
|
197,615 |
[
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"id": 959549389800632300,
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"timestamp": "04/01/2022 16:26:42",
"content": "Available help channel!",
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},
{
"id": 959553863424307200,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "04/01/2022 16:44:28",
"content": "could someone, please, just make a model out of this, because I'm hella confused:",
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},
{
"id": 959553865420783700,
"author_id": 805217272087838700,
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"id": 959554387867480000,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "04/01/2022 16:46:33",
"content": "\"In parallelogram ABCD with sharp angle at apex A has two heights: AH1 and AH2 (H1 and H2 are from the straight lines of BC and CD)\"",
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"id": 959554480733564900,
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"author_name": "lacertae",
"timestamp": "04/01/2022 16:46:55",
"content": "I think I can solve the rest (which I didn't metion), but it's just that I'm hell of confused where to make the second height",
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"id": 959558256643158000,
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"timestamp": "04/01/2022 17:01:56",
"content": "@lacertae Has your question been resolved?",
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"timestamp": "04/01/2022 17:04:04",
"content": "@Helpers",
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},
{
"id": 959559775325155500,
"author_id": 692654133785657300,
"author_name": "Alexander42",
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"id": 959559814126661800,
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"author_name": "Alexander42",
"timestamp": "04/01/2022 17:08:07",
"content": "Something like this?",
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"id": 959564924948979700,
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"author_name": "lacertae",
"timestamp": "04/01/2022 17:28:25",
"content": "well I didn't get any ping, but I'll seek help later on. Ty @Alexander42 for ur time tho",
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"content": ".close",
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"id": 959564932574220300,
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"timestamp": "04/01/2022 17:28:27",
"content": "Channel closed",
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}
] |
help-9
|
1ebcce65f8734dcb9dbb141fb1194890
|
197,616 |
[
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"content": "Available help channel!",
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"id": 1004510144102662100,
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"timestamp": "08/03/2022 18:04:41",
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] |
help-9
|
96b83c4343124fbba37ac037dc11ada0
|
197,617 |
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{
"id": 1004521314754777100,
"author_id": 570728408091328500,
"author_name": "ge",
"timestamp": "08/03/2022 18:49:04",
"content": "for number 6, im reading it as two different questions. is it asking what % of homes were oakcrest in the 60s or is it asking what % TOTAL were from the 60s & oakcrest?",
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"timestamp": "08/03/2022 19:04:04",
"content": "@ge Has your question been resolved?",
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"timestamp": "08/03/2022 19:34:09",
"content": "@ge Has your question been resolved?",
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"timestamp": "08/03/2022 19:38:53",
"content": "@Helpers sorry",
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"id": 1004538249378799700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/03/2022 19:56:22",
"content": "There is no number 6 in this image?",
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"id": 1004538286628425900,
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"timestamp": "08/03/2022 19:56:30",
"content": "I MEANT C",
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"id": 1004538296069787800,
"author_id": 570728408091328500,
"author_name": "ge",
"timestamp": "08/03/2022 19:56:33",
"content": "SORRY",
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},
{
"id": 1004538432741195900,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/03/2022 19:57:05",
"content": "It's the percentage of homes in Oakcrest and the 60s",
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},
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"id": 1004539089720197200,
"author_id": 570728408091328500,
"author_name": "ge",
"timestamp": "08/03/2022 19:59:42",
"content": "ohhh so all together?",
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"id": 1004539102122750000,
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"timestamp": "08/03/2022 19:59:45",
"content": "23%?",
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"timestamp": "08/03/2022 20:59:45",
"content": "@ge Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
e31002c4ca204c2982f608a48469e8ab
|
197,618 |
[
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"timestamp": "08/03/2022 23:50:47",
"content": "Available help channel!",
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},
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"id": 1004618059409010700,
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"author_name": "Shin",
"timestamp": "08/04/2022 01:14:02",
"content": "hi could anyone kindly explain why we're able to tell the basis of the column space of A from the E^-1 matrix?",
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},
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"id": 1004621969234337800,
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"timestamp": "08/04/2022 01:29:02",
"content": "@Shin Has your question been resolved?",
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"timestamp": "08/04/2022 02:13:40",
"content": "@Shin Has your question been resolved?",
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"timestamp": "08/04/2022 03:23:08",
"content": "@Shin Has your question been resolved?",
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"id": 1004680355648901100,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "08/04/2022 05:21:02",
"content": "consider what happens when we multiply out E^-1 * R and which columns we get",
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},
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"id": 1004680451073515500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "08/04/2022 05:21:25",
"content": "first we multiply E^-1 times the first column of R, which is the first unit vector, and get the first column of E^-1",
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"id": 1004680508116041900,
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"author_name": "Denascite",
"timestamp": "08/04/2022 05:21:39",
"content": "then we multiply by the second column of R and get a scaled version of the same column",
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},
{
"id": 1004680585211560100,
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"author_name": "Denascite",
"timestamp": "08/04/2022 05:21:57",
"content": "next we multiply by the third column of R, which is the second unit vector, and get the second column of E^-1",
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},
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"id": 1004680712802283500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "08/04/2022 05:22:27",
"content": "and last we multiply by the last column, which is a linear combination of the first two unit vectors and therefore get a linear combination of the first two columns of E^-1",
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},
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"id": 1004680848840327200,
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"author_name": "Denascite",
"timestamp": "08/04/2022 05:23:00",
"content": "and then it's easy to see that the column space is spanned by the first two columns of E^-1",
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"id": 1004681038531940400,
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"content": "@Shin",
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"content": "@Shin Has your question been resolved?",
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"author_name": "Shin",
"timestamp": "08/04/2022 06:33:38",
"content": "Ohh I see it now, thanks so much for the detailed explanation!! 👍🏼😊",
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"content": "Channel closed",
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}
] |
help-9
|
982952317382469bbc34c2ed55215787
|
197,619 |
[
{
"id": 1004698891343646800,
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"author_name": "Mathematics Bot",
"timestamp": "08/04/2022 06:34:42",
"content": "Available help channel!",
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},
{
"id": 1004700641261781100,
"author_id": 738255162736378000,
"author_name": "wideputin",
"timestamp": "08/04/2022 06:41:39",
"content": "can someone explain whats combinatorics",
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},
{
"id": 1004700643765784700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/04/2022 06:41:39",
"content": "Pinned a message.",
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"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "08/04/2022 06:44:08",
"content": "finding number of possible outcomes?",
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},
{
"id": 1004701445951606800,
"author_id": 738255162736378000,
"author_name": "wideputin",
"timestamp": "08/04/2022 06:44:51",
"content": "thats it",
"attachments": [],
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},
{
"id": 1004701468349169800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "08/04/2022 06:44:56",
"content": "not only that if im not wrong",
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"reference": null
},
{
"id": 1004701503669420200,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "08/04/2022 06:45:04",
"content": "but yeah, the main thing i get is that",
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},
{
"id": 1004701690995408900,
"author_id": 738255162736378000,
"author_name": "wideputin",
"timestamp": "08/04/2022 06:45:49",
"content": "can yu suggest a source from youtube for this",
"attachments": [],
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"reference": null
},
{
"id": 1004701844699881600,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "08/04/2022 06:46:26",
"content": "have you learnt factorials?",
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"reference": null
},
{
"id": 1004701968847093800,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "08/04/2022 06:46:55",
"content": "https://www.youtube.com/watch?v=XJnIdRXUi7A",
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},
{
"id": 1004701987750805500,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "08/04/2022 06:47:00",
"content": "this?",
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},
{
"id": 1004702027168886900,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "08/04/2022 06:47:09",
"content": "khan academy is also a good place to learn",
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},
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"id": 1004702077878018200,
"author_id": 738255162736378000,
"author_name": "wideputin",
"timestamp": "08/04/2022 06:47:21",
"content": "thanks",
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"reference": null
},
{
"id": 1004702123621101600,
"author_id": 738255162736378000,
"author_name": "wideputin",
"timestamp": "08/04/2022 06:47:32",
"content": ".close",
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},
{
"id": 1004702125848281200,
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"author_name": "Mathematics Bot",
"timestamp": "08/04/2022 06:47:33",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
f5369c716be743ab8aac236d8926e4cf
|
197,620 |
[
{
"id": 1004703166740320400,
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"content": "Available help channel!",
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"author_id": 438599091941802000,
"author_name": "RecorderBoi420",
"timestamp": "08/04/2022 06:55:00",
"content": "what is i^3",
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"timestamp": "08/04/2022 06:55:24",
"content": ".close",
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"id": 1004704104586694700,
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help-9
|
cff78b213384417a9fb44d6b636ddb6c
|
197,621 |
[
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"content": "Available help channel!",
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"id": 1004708430428258300,
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"author_name": "jacksoniga",
"timestamp": "08/04/2022 07:12:54",
"content": "guys for this question why cant i find the area under the graph for both equations",
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"id": 1004708523722166300,
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"timestamp": "08/04/2022 07:12:58",
"content": "and then minus the areas",
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"id": 1004708549139636200,
"author_id": 385735450465271800,
"author_name": "jacksoniga",
"timestamp": "08/04/2022 07:13:04",
"content": "to get the enclosed area",
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"content": "the answers find the area under the combined funciton",
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"content": "i lied guys",
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help-9
|
86e3e9114075436786d9757922d44497
|
197,622 |
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"content": "is the ans 10",
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"author_name": "Ustoot Hunjiboot",
"timestamp": "08/04/2022 07:33:47",
"content": "or is the answer 49-25=b^2=24, b=2(6)^1/2 and then times by 2 to get 2",
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"content": "so 4(6)^1/2",
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"content": "why times by 2",
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"timestamp": "08/04/2022 07:35:35",
"content": "bc im getting the triangle on the rigght side",
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"timestamp": "08/04/2022 07:35:40",
"content": "b=d/2",
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"content": "why is b=d/2",
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"id": 1004714350482821100,
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"timestamp": "08/04/2022 07:36:07",
"content": "diagram is not to scale",
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"timestamp": "08/04/2022 07:36:15",
"content": "yeah it sint",
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"timestamp": "08/04/2022 07:36:19",
"content": "but my first ans was 10",
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"content": "bc i thought it was perfectly in the middle of d",
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"content": "and then since its a square both the distance from the 2 sides = the same",
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"author_name": "Ustoot Hunjiboot",
"timestamp": "08/04/2022 07:37:22",
"content": "so bd=10",
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"content": "bd=ac",
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"timestamp": "08/04/2022 07:37:32",
"content": "so ac=10cm",
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"author_name": "°🖤𝓂°",
"timestamp": "08/04/2022 07:37:58",
"content": "i think, you take Pythagorean Theorem",
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"content": "yeha i did that and i got 4(6)^1/2",
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"author_name": "Lvn",
"timestamp": "08/04/2022 07:38:38",
"content": "im getting 5+2roo6",
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"timestamp": "08/04/2022 07:38:47",
"content": "how so",
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"timestamp": "08/04/2022 07:38:51",
"content": "is it right",
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"timestamp": "08/04/2022 07:39:12",
"content": "ill double check my ans",
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"timestamp": "08/04/2022 07:39:15",
"content": "and ill tell u",
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"timestamp": "08/04/2022 07:39:34",
"content": "nah ur ans cant be right",
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"timestamp": "08/04/2022 07:40:11",
"content": "u sure?",
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"timestamp": "08/04/2022 07:40:21",
"content": "yeah",
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"timestamp": "08/04/2022 07:40:27",
"content": "it cant be",
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"timestamp": "08/04/2022 07:41:11",
"content": "its alr",
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"timestamp": "08/04/2022 07:41:14",
"content": "ill solve it",
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"timestamp": "08/04/2022 07:42:24",
"content": "I can't get that, isn't CD is 7cm like BA and BC ?",
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"timestamp": "08/04/2022 07:44:47",
"content": "@Ustoot Hunjiboot so whats wrong in my solution",
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"content": "umm",
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"timestamp": "08/04/2022 07:44:54",
"content": "imm ill c",
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"author_name": "Deleted User",
"timestamp": "08/04/2022 07:47:28",
"content": "can't you just cos(45) - cos(theta) ?",
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"timestamp": "08/04/2022 07:47:49",
"content": "what?",
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"timestamp": "08/04/2022 07:48:19",
"content": "I mean cos(45 - theta) = h/7sqrt(2)",
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"timestamp": "08/04/2022 07:48:36",
"content": "cos(a-b) isnt cosa - cosb",
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"timestamp": "08/04/2022 07:48:49",
"content": "Ah ok.",
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"author_id": 456226577798135800,
"author_name": "Deleted User",
"timestamp": "08/04/2022 07:48:54",
"content": "so what you did ?",
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"author_name": "Lvn",
"timestamp": "08/04/2022 07:49:03",
"content": "cosacosb+sinasinb, sina=cosa=1/root2, cosb=5/7 sinb=2root6/7",
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"timestamp": "08/04/2022 07:50:07",
"content": "Ah i see.",
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"author_name": "Ustoot Hunjiboot",
"timestamp": "08/04/2022 07:53:11",
"content": "ohhh",
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"author_name": "Lvn",
"timestamp": "08/04/2022 08:06:26",
"content": "🙄",
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"author_name": "Ustoot Hunjiboot",
"timestamp": "08/04/2022 08:07:11",
"content": "dont gotta do me liek that",
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"id": 1004722173522481200,
"author_id": 727876233009823700,
"author_name": "Ustoot Hunjiboot",
"timestamp": "08/04/2022 08:07:13",
"content": "😭",
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"author_name": "Lvn",
"timestamp": "08/04/2022 08:09:50",
"content": "lol, its alright",
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"timestamp": "08/04/2022 08:10:01",
"content": "@Ustoot Hunjiboot u can ask doubts, or close if u want",
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"timestamp": "08/04/2022 08:10:56",
"content": "aight ima close it",
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"content": ".close",
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"timestamp": "08/04/2022 08:11:00",
"content": "Channel closed",
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}
] |
help-9
|
7ae3713e467345249fc642c73e0d388e
|
197,623 |
[
{
"id": 1004723382639669400,
"author_id": 805217272087838700,
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"timestamp": "08/04/2022 08:12:01",
"content": "Available help channel!",
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},
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"id": 1004726139908005900,
"author_id": 756037287434780800,
"author_name": "BABYRYERYE21",
"timestamp": "08/04/2022 08:22:58",
"content": "aghhhhh anyone know how to do this in a more simple way",
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"id": 1004726142445555700,
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"timestamp": "08/04/2022 08:23:39",
"content": "what way did you use yourself",
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"content": "the beta long ass way",
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"id": 1004726809272799200,
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"author_name": "Lance",
"timestamp": "08/04/2022 08:25:38",
"content": "uhm, which way is that",
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"timestamp": "08/04/2022 08:29:10",
"content": "this one",
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},
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"id": 1004731474345472000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/04/2022 08:44:10",
"content": "@BABYRYERYE21 Has your question been resolved?",
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"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "08/04/2022 08:46:29",
"content": "What's $\\int \\frac{a}{x^3}$",
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},
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"id": 1004732071094272100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/04/2022 08:46:32",
"content": "**AirToastie**",
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"id": 1004733145477816400,
"author_id": 828645428765524000,
"author_name": "piang",
"timestamp": "08/04/2022 08:50:48",
"content": "Slope gradient",
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"timestamp": "08/04/2022 08:52:32",
"content": "Seems right to me",
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"timestamp": "08/04/2022 08:56:03",
"content": "i messed up the last bit",
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"timestamp": "08/04/2022 08:56:07",
"content": "its meant to be -2",
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"timestamp": "08/04/2022 08:56:12",
"content": "i even wrote it in the line above",
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"timestamp": "08/04/2022 08:58:14",
"content": "let's go indian flag",
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"content": "Channel closed",
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}
] |
help-9
|
4e7e35a4ba4a4e4ea1ac45700fbfcd77
|
197,624 |
[
{
"id": 1004735504803180700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/04/2022 09:00:11",
"content": "Available help channel!",
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},
{
"id": 1004739952732549100,
"author_id": 211873402573553660,
"author_name": "CvE",
"timestamp": "08/04/2022 09:17:51",
"content": "I am very stuck with this math problem. I have no idea what the first step is to come to the answer. My guess it to rationlize the denominator. Because I currently see no other way to come to a more simple fraction",
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"content": "Pinned a message.",
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{
"id": 1004740301992239100,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/04/2022 09:19:15",
"content": "300=2^2*3\\*5^2",
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},
{
"id": 1004740484771618800,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/04/2022 09:19:58",
"content": "so $\\sqrt{300}=\\sqrt{2}\\sqrt{2\\cdot3}\\sqrt{5^2}=5\\sqrt{2}\\sqrt{6}$",
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},
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"id": 1004740531974312100,
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"timestamp": "08/04/2022 09:20:09",
"content": "**Toby**",
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"timestamp": "08/04/2022 09:20:55",
"content": "aha i will try it out thank you!",
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"author_id": 211873402573553660,
"author_name": "CvE",
"timestamp": "08/04/2022 09:21:26",
"content": ".close",
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},
{
"id": 1004740852419141600,
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"author_name": "Mathematics Bot",
"timestamp": "08/04/2022 09:21:26",
"content": "Channel closed",
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}
] |
help-9
|
57b8840f502043d7847c5cc1b97f5d88
|
197,625 |
[
{
"id": 1004742479930740700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/04/2022 09:27:54",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1004743131419377800,
"author_id": 183831008049627140,
"author_name": "exo",
"timestamp": "08/04/2022 09:30:29",
"content": "Hi there, I am doing practise interview questions and I cam across this: https://i.imgur.com/e7TA1PS.png I managed to brute force the answer but I want to know if there is a more elegant solution to the problem",
"attachments": [],
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"timestamp": "08/04/2022 09:30:30",
"content": "Pinned a message.",
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{
"id": 1004743357966332000,
"author_id": 183831008049627140,
"author_name": "exo",
"timestamp": "08/04/2022 09:31:23",
"content": "The answer is k=62 and p = 3 & q = 5",
"attachments": [],
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},
{
"id": 1004743545862754300,
"author_id": 342686622615339000,
"author_name": "Alexandre",
"timestamp": "08/04/2022 09:32:08",
"content": "What do you mean by bruteforce",
"attachments": [],
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},
{
"id": 1004743589424791700,
"author_id": 342686622615339000,
"author_name": "Alexandre",
"timestamp": "08/04/2022 09:32:18",
"content": "Like a program ?",
"attachments": [],
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},
{
"id": 1004743609578442900,
"author_id": 183831008049627140,
"author_name": "exo",
"timestamp": "08/04/2022 09:32:23",
"content": "Excel but yes",
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},
{
"id": 1004743726540787700,
"author_id": 183831008049627140,
"author_name": "exo",
"timestamp": "08/04/2022 09:32:51",
"content": "I understand what I need to do but I wanted to know if there is a more mathematical approach for the future / if the numbers were harder",
"attachments": [],
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},
{
"id": 1004743787349819400,
"author_id": 342686622615339000,
"author_name": "Alexandre",
"timestamp": "08/04/2022 09:33:06",
"content": "OK, i think you could try to let n1 = 2i+1 so nk = 2i+1+2(k-1)",
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},
{
"id": 1004744135854526600,
"author_id": 342686622615339000,
"author_name": "Alexandre",
"timestamp": "08/04/2022 09:34:29",
"content": "Then n1 + n2 + n3 = 2i+1+2i+3+2i+5 = 6i+9 so p=3 because 3 divides 6i+9 and you can get i",
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},
{
"id": 1004744226048835600,
"author_id": 183831008049627140,
"author_name": "exo",
"timestamp": "08/04/2022 09:34:50",
"content": "Ohhhhh I see",
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},
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"id": 1004744238422036500,
"author_id": 183831008049627140,
"author_name": "exo",
"timestamp": "08/04/2022 09:34:53",
"content": "yeah I got it",
"attachments": [],
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},
{
"id": 1004744385046528000,
"author_id": 342686622615339000,
"author_name": "Alexandre",
"timestamp": "08/04/2022 09:35:28",
"content": "I cant do the calcul now because no paper but you see the idea",
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},
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"id": 1004744415774003200,
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"author_name": "exo",
"timestamp": "08/04/2022 09:35:35",
"content": "I got the idea thank you",
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},
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"id": 1004744451190706300,
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"author_name": "exo",
"timestamp": "08/04/2022 09:35:44",
"content": ".close",
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},
{
"id": 1004744452633542700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/04/2022 09:35:44",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
ce00c6206ca8442da7227fe717411ccf
|
197,626 |
[
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"timestamp": "04/01/2022 17:29:28",
"content": "Available help channel!",
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"reference": null
},
{
"id": 959568417118109700,
"author_id": 167736065937899520,
"author_name": "Laz",
"timestamp": "04/01/2022 17:42:18",
"content": "Find the equation of the line that is orthogonal to both u = 2i +5j -3k and the z-axis.",
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},
{
"id": 959568418871345300,
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"timestamp": "04/01/2022 17:42:18",
"content": "Pinned a message.",
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"id": 959569292502917100,
"author_id": 167736065937899520,
"author_name": "Laz",
"timestamp": "04/01/2022 17:45:47",
"content": "Find the equation of the line that is orthogonal to both u = 2i +5j -3k and the z-axis.",
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},
{
"id": 959569365357961500,
"author_id": 167736065937899520,
"author_name": "Laz",
"timestamp": "04/01/2022 17:46:04",
"content": "Will any brave soul help me with this4",
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"id": 959570619081580500,
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"timestamp": "04/01/2022 17:51:03",
"content": ".close",
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"id": 959570621086466000,
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"timestamp": "04/01/2022 17:51:04",
"content": "Channel closed",
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}
] |
help-9
|
a458d953d0454258b27a23e97f9177da
|
197,627 |
[
{
"id": 1004745662887383000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/04/2022 09:40:33",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1004746139792314500,
"author_id": 211873402573553660,
"author_name": "CvE",
"timestamp": "08/04/2022 09:42:27",
"content": "I am kinda stuck because two sources give 2 diffrent outcomes. My textbooks says that the answer is equal to this.",
"attachments": [
{
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"timestamp": "08/04/2022 09:42:27",
"content": "Pinned a message.",
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{
"id": 1004746235032391800,
"author_id": 211873402573553660,
"author_name": "CvE",
"timestamp": "08/04/2022 09:42:49",
"content": "but this site says its equal to this? what am I not seeing right?",
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"id": 1004746434026946600,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/04/2022 09:43:37",
"content": "In the second site",
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},
{
"id": 1004746506819076200,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/04/2022 09:43:54",
"content": "We have $\\frac{3}{2\\sqrt2}$",
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},
{
"id": 1004746519175508100,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/04/2022 09:43:57",
"content": "**Legolas**",
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"id": 1004746562456531100,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/04/2022 09:44:07",
"content": "We can multiply both top and bottom by $\\sqrt2$",
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},
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"id": 1004746572543819900,
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"author_name": "TeXit",
"timestamp": "08/04/2022 09:44:10",
"content": "**Legolas**",
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"id": 1004746790056239200,
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"author_name": "Tarek Ahmed",
"timestamp": "08/04/2022 09:45:02",
"content": "So it would be $\\frac{3 \\times \\sqrt2}{2 \\times \\sqrt2 \\times \\sqrt 2}$",
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},
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"id": 1004746801934512100,
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"timestamp": "08/04/2022 09:45:04",
"content": "**Legolas**",
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"id": 1004746889587081200,
"author_id": 211873402573553660,
"author_name": "CvE",
"timestamp": "08/04/2022 09:45:25",
"content": "ahh so that results eventually in my text book answer",
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},
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"id": 1004746952497442800,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/04/2022 09:45:40",
"content": "Yeah",
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"id": 1004746957840974100,
"author_id": 211873402573553660,
"author_name": "CvE",
"timestamp": "08/04/2022 09:45:42",
"content": "woww did not see that well ty very much!",
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},
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"id": 1004746978141425700,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/04/2022 09:45:46",
"content": "They are equivalent",
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},
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"id": 1004747003034619900,
"author_id": 183831008049627140,
"author_name": "exo",
"timestamp": "08/04/2022 09:45:52",
"content": "Its normal to have the root on top of the fraction rather than the bottom",
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},
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"id": 1004747023762849900,
"author_id": 183831008049627140,
"author_name": "exo",
"timestamp": "08/04/2022 09:45:57",
"content": "Iirc",
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"id": 1004747070596456600,
"author_id": 211873402573553660,
"author_name": "CvE",
"timestamp": "08/04/2022 09:46:08",
"content": "Thanks i'll keep that in mind!",
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"id": 1004747089609228300,
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"author_name": "CvE",
"timestamp": "08/04/2022 09:46:13",
"content": ".close",
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},
{
"id": 1004747091152752800,
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"author_name": "Mathematics Bot",
"timestamp": "08/04/2022 09:46:13",
"content": "Channel closed",
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}
] |
help-9
|
5486cb9d9e4146519b876e53c6342ad9
|
197,628 |
[
{
"id": 1004748668072624300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/04/2022 09:52:29",
"content": "Available help channel!",
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},
{
"id": 1004752256542978000,
"author_id": 211873402573553660,
"author_name": "CvE",
"timestamp": "08/04/2022 10:06:45",
"content": "I thougt that when I cancel 2 in the denominator with -2y it would turn into: -y + 3. But how can the 2 in the denominator still exist when its canceled against a term?",
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"id": 1004752258937933800,
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"content": "Pinned a message.",
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{
"id": 1004752354463191200,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "08/04/2022 10:07:08",
"content": "You have to divide everything by 2, not just one thing",
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},
{
"id": 1004752396188135600,
"author_id": 521464336284254200,
"author_name": "Gamer Dio",
"timestamp": "08/04/2022 10:07:18",
"content": "(a + b)/c = a/c + b/c",
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},
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"id": 1004752492665512000,
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"timestamp": "08/04/2022 10:07:41",
"content": "ahh ofc! Ty!",
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"id": 1004752504065622100,
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"timestamp": "08/04/2022 10:07:44",
"content": ".close",
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},
{
"id": 1004752505634299900,
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"timestamp": "08/04/2022 10:07:44",
"content": "Channel closed",
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}
] |
help-9
|
95ecced7f5684b3aa133256166d5e2a5
|
197,629 |
[
{
"id": 1004754782629666800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/04/2022 10:16:47",
"content": "Available help channel!",
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},
{
"id": 1004754943292494000,
"author_id": 966671065722011600,
"author_name": "BeLikeUranium235",
"timestamp": "08/04/2022 10:17:25",
"content": "(2 - root 2) / (5 - root 5)\nNeed to prove here that the given number is irrational\nalready proved that root 2 is irrational\ncan someone tell what to do next?",
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"content": "Pinned a message.",
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"id": 1004758522606661800,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/04/2022 10:31:39",
"content": "try the usual way these problems are done - suppose it's rational",
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"id": 1004758639812292700,
"author_id": 966671065722011600,
"author_name": "BeLikeUranium235",
"timestamp": "08/04/2022 10:32:07",
"content": "yea",
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},
{
"id": 1004758647278145500,
"author_id": 966671065722011600,
"author_name": "BeLikeUranium235",
"timestamp": "08/04/2022 10:32:09",
"content": "did that",
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},
{
"id": 1004758652172902400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/04/2022 10:32:10",
"content": "(2-root2) / (5-root5) = (10-5root2 + 2root 5 - root10) / 20\nI think there's a simple field extension based argument to say that any nonzero combination of the roots of 2, 5, 10 is irrational but I don't know that enough, also it's probably not the idea here",
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"id": 1004758739544441000,
"author_id": 966671065722011600,
"author_name": "BeLikeUranium235",
"timestamp": "08/04/2022 10:32:31",
"content": "i compared this with a/b where a and be a co primes",
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},
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"id": 1004758769164623900,
"author_id": 966671065722011600,
"author_name": "BeLikeUranium235",
"timestamp": "08/04/2022 10:32:38",
"content": "*a and b are co primes",
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},
{
"id": 1004758789167263700,
"author_id": 966671065722011600,
"author_name": "BeLikeUranium235",
"timestamp": "08/04/2022 10:32:42",
"content": "i am tenth",
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},
{
"id": 1004758843093418100,
"author_id": 966671065722011600,
"author_name": "BeLikeUranium235",
"timestamp": "08/04/2022 10:32:55",
"content": "si i cant understand what you are talking about",
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},
{
"id": 1004758861980389400,
"author_id": 966671065722011600,
"author_name": "BeLikeUranium235",
"timestamp": "08/04/2022 10:33:00",
"content": "*so",
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},
{
"id": 1004758964786958500,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/04/2022 10:33:24",
"content": "you can safely ignore that 🙃",
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},
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"id": 1004758972332507100,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/04/2022 10:33:26",
"content": "Yeah understandable. Field extensions are some high undergrad / low grad level stuff",
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"id": 1004758999478042600,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/04/2022 10:33:32",
"content": "I just didn't have a better idea",
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"id": 1004759131028201500,
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/04/2022 10:34:04",
"content": "manipulate (2 - root 2) / (5 - root 5) = a/b a little bit",
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"id": 1004759284820758500,
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/04/2022 10:34:41",
"content": "like, just clear denominators and expand",
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},
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"author_name": "themateo713",
"timestamp": "08/04/2022 10:37:30",
"content": "If it's a/b then 2b - 5a = b root2 - a root 5.",
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},
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"id": 1004761499593617400,
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/04/2022 10:43:29",
"content": "that implies b\\*sqrt(2) - a\\*sqrt(5) is rational",
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},
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"id": 1004761560687849600,
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/04/2022 10:43:43",
"content": "so it's square is rational",
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},
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"id": 1004761672528973800,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/04/2022 10:44:10",
"content": "and from there you can get that sqrt(10) is rational (which is a contradiction ofc)",
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"id": 1004761766376517600,
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"author_name": "themateo713",
"timestamp": "08/04/2022 10:44:32",
"content": "He's yet to prove that though, but yes",
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},
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"id": 1004761867836735600,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/04/2022 10:44:56",
"content": "prove what?",
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},
{
"id": 1004761904004214900,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/04/2022 10:45:05",
"content": "That sqrt(10) is irrational",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/04/2022 10:50:33",
"content": "@BeLikeUranium235 Has your question been resolved?",
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"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/04/2022 10:51:09",
"content": "if you are still curious about the thing you deleted, see https://qchu.wordpress.com/2009/07/02/square-roots-have-no-unexpected-linear-relationships/",
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},
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"id": 1004763935272087700,
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"author_name": "themateo713",
"timestamp": "08/04/2022 10:53:09",
"content": "That sounds a bit better than what I had in mind",
"attachments": [],
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},
{
"id": 1004764249966530600,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/04/2022 10:54:24",
"content": "Now you've got me curious about expanding my knowledge of this",
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},
{
"id": 1004764586228076700,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/04/2022 10:55:44",
"content": "I haven't looked at it, but do you think it's possible to understand this from a field extension based perspective?",
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},
{
"id": 1004764718805815400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/04/2022 10:56:16",
"content": "Cause that's the only thing I know that I know to be quite a bit of a higher level than the other things I know",
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},
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"id": 1004765089464844400,
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"author_name": "themateo713",
"timestamp": "08/04/2022 10:57:44",
"content": "Cause I saw Dirichlet's name at the end and that tells me it's stuff I don't know",
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},
{
"id": 1004765692177940600,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/04/2022 11:00:08",
"content": "I didn't read through it all that much honestly but I'm pretty sure some of the stuff in there is field extension related",
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"id": 1004765731151421600,
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"author_name": "themateo713",
"timestamp": "08/04/2022 11:00:17",
"content": "It makes me wonder whether Q[root(n1), ..., root(n_k)] always has dimension 2k as a Q vector space",
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},
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"id": 1004765877171933300,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/04/2022 11:00:52",
"content": "Assuming that all the n_i don't have a trivial relationship",
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},
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"id": 1004767054462726300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/04/2022 11:05:33",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
a1e84d07141b4cc497d1f49d34111e08
|
197,630 |
[
{
"id": 1004767069474148400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/04/2022 11:05:37",
"content": "Since if it doesn't then that means the minimal polynomial containing them has shared roots",
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},
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"id": 1004767130752913500,
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"timestamp": "08/04/2022 11:05:51",
"content": "But it shouldn't",
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},
{
"id": 1004767190295248900,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/04/2022 11:06:05",
"content": "And that from this you deduce the property",
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},
{
"id": 1004767227884605600,
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"timestamp": "08/04/2022 11:06:14",
"content": "That you linked",
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},
{
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"author_name": "Mathematics Bot",
"timestamp": "08/04/2022 11:54:57",
"content": "Available help channel!",
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},
{
"id": 1004781263061778400,
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"author_name": "sardines",
"timestamp": "08/04/2022 12:02:01",
"content": "",
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"timestamp": "08/04/2022 12:02:01",
"content": "Pinned a message.",
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"author_name": "sardines",
"timestamp": "08/04/2022 12:06:49",
"content": "is this wrong?",
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},
{
"id": 1004783419844206700,
"author_id": 714607533196705800,
"author_name": "sardines",
"timestamp": "08/04/2022 12:10:35",
"content": "ive been stuck on this summer work packet problem for overly too long",
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},
{
"id": 1004783451783844000,
"author_id": 774524872389820400,
"author_name": "Gustofwind",
"timestamp": "08/04/2022 12:10:42",
"content": "Understandable",
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},
{
"id": 1004783473288020100,
"author_id": 774524872389820400,
"author_name": "Gustofwind",
"timestamp": "08/04/2022 12:10:48",
"content": "Hold on let me analyze",
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},
{
"id": 1004783635196543000,
"author_id": 774524872389820400,
"author_name": "Gustofwind",
"timestamp": "08/04/2022 12:11:26",
"content": "Do you know the A union B formula",
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"id": 1004783666293129200,
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"author_name": "sardines",
"timestamp": "08/04/2022 12:11:34",
"content": "uhh",
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},
{
"id": 1004783690657845400,
"author_id": 714607533196705800,
"author_name": "sardines",
"timestamp": "08/04/2022 12:11:39",
"content": "(A U B)",
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},
{
"id": 1004783710341710000,
"author_id": 774524872389820400,
"author_name": "Gustofwind",
"timestamp": "08/04/2022 12:11:44",
"content": "yes that",
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},
{
"id": 1004783773864443900,
"author_id": 774524872389820400,
"author_name": "Gustofwind",
"timestamp": "08/04/2022 12:11:59",
"content": "(A u B) = A + B - (A intersection B)",
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},
{
"id": 1004783799030251500,
"author_id": 714607533196705800,
"author_name": "sardines",
"timestamp": "08/04/2022 12:12:05",
"content": "hmmm",
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},
{
"id": 1004783912695898100,
"author_id": 714607533196705800,
"author_name": "sardines",
"timestamp": "08/04/2022 12:12:32",
"content": "so im correct?",
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},
{
"id": 1004783923865325600,
"author_id": 714607533196705800,
"author_name": "sardines",
"timestamp": "08/04/2022 12:12:35",
"content": "because i did",
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},
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"id": 1004783924108591100,
"author_id": 774524872389820400,
"author_name": "Gustofwind",
"timestamp": "08/04/2022 12:12:35",
"content": "So basically 32 students do nothing",
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},
{
"id": 1004783945596018800,
"author_id": 714607533196705800,
"author_name": "sardines",
"timestamp": "08/04/2022 12:12:40",
"content": "oh..",
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},
{
"id": 1004783956236963800,
"author_id": 774524872389820400,
"author_name": "Gustofwind",
"timestamp": "08/04/2022 12:12:43",
"content": "Hold on lemme calculate",
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},
{
"id": 1004784124147535900,
"author_id": 714607533196705800,
"author_name": "sardines",
"timestamp": "08/04/2022 12:13:23",
"content": "i think only 12 kids won and played national tourns",
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"id": 1004784147065213000,
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"author_name": "sardines",
"timestamp": "08/04/2022 12:13:28",
"content": "so does that mean 0.06",
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"id": 1004784675794976900,
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"author_name": "Gustofwind",
"timestamp": "08/04/2022 12:15:34",
"content": "Yeah I think 0.06 is right",
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"id": 1004784722100113500,
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"author_name": "sardines",
"timestamp": "08/04/2022 12:15:45",
"content": "presh",
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"author_name": "sardines",
"timestamp": "08/04/2022 12:15:51",
"content": "i have one more question if u have time",
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"author_name": "sardines",
"timestamp": "08/04/2022 12:16:18",
"content": "sorry wrong one",
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},
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"timestamp": "08/04/2022 12:31:36",
"content": "@sardines Has your question been resolved?",
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"author_name": "sardines",
"timestamp": "08/04/2022 12:33:44",
"content": "@Gustofwind sorry for ping",
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"id": 1004789266360057900,
"author_id": 714607533196705800,
"author_name": "sardines",
"timestamp": "08/04/2022 12:33:49",
"content": "but can u pls help",
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},
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"id": 1004790380723707900,
"author_id": 687293557106802700,
"author_name": "AirToastie",
"timestamp": "08/04/2022 12:38:14",
"content": "Hmmm Biology",
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},
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"id": 1004793617715560400,
"author_id": 714607533196705800,
"author_name": "sardines",
"timestamp": "08/04/2022 12:51:06",
"content": "no lol",
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},
{
"id": 1004793631569367200,
"author_id": 714607533196705800,
"author_name": "sardines",
"timestamp": "08/04/2022 12:51:09",
"content": "its algebra 2",
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},
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"author_name": "sardines",
"timestamp": "08/04/2022 13:00:03",
"content": "hi",
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"author_name": "AirToastie",
"timestamp": "08/04/2022 13:07:28",
"content": "Aren't you supposed to use nCr?",
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"id": 1004797838158483500,
"author_id": 291668145758928900,
"author_name": "DAILI",
"timestamp": "08/04/2022 13:07:52",
"content": "Use Bayes",
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},
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"timestamp": "08/04/2022 13:30:03",
"content": "@sardines Has your question been resolved?",
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"timestamp": "08/04/2022 14:00:03",
"content": "Channel closed",
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}
] |
help-9
|
caf26dde02a74f55b1ecf1ea3b39a1e3
|
197,631 |
[
{
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"timestamp": "08/04/2022 14:13:04",
"content": "Available help channel!",
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},
{
"id": 1004819858640347100,
"author_id": 704073651175293000,
"author_name": "Nyscian",
"timestamp": "08/04/2022 14:35:22",
"content": "How can I decide whether to use the disk method or the shell method?",
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},
{
"id": 1004819861836415000,
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"timestamp": "08/04/2022 14:35:23",
"content": "Pinned a message.",
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"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "08/04/2022 14:36:29",
"content": "By whether the cross sections run parallel or perpendicular to the axis of integration",
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},
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"id": 1004820355640209500,
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"timestamp": "08/04/2022 14:37:21",
"content": "how can I understand this",
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},
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"id": 1004820383729471600,
"author_id": 704073651175293000,
"author_name": "Nyscian",
"timestamp": "08/04/2022 14:37:28",
"content": "parallel or perpendicular",
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},
{
"id": 1004820473978298500,
"author_id": 704073651175293000,
"author_name": "Nyscian",
"timestamp": "08/04/2022 14:37:49",
"content": "I can place the rectangles any way I want",
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},
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"author_id": 910777539444744200,
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"timestamp": "08/04/2022 14:38:09",
"content": "Yes, but the orientation determines the axis of integration as well",
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},
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"id": 1004821052200865900,
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"author_name": "Nyscian",
"timestamp": "08/04/2022 14:40:07",
"content": "so I can always find any volume either way but the one between is easier",
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},
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"id": 1004821206370881700,
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"timestamp": "08/04/2022 14:40:44",
"content": "It depends on the axis of revolution as well",
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},
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"timestamp": "08/04/2022 14:40:56",
"content": "These do not yield the same volumes",
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},
{
"id": 1004821272317931500,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "08/04/2022 14:40:59",
"content": "Read the problem closely",
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},
{
"id": 1004821505412182000,
"author_id": 704073651175293000,
"author_name": "Nyscian",
"timestamp": "08/04/2022 14:41:55",
"content": "I will probably be told which method to use in problems",
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},
{
"id": 1004822798797119600,
"author_id": 704073651175293000,
"author_name": "Nyscian",
"timestamp": "08/04/2022 14:47:03",
"content": "For example,",
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"id": 1004822933128106100,
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"author_name": "Nyscian",
"timestamp": "08/04/2022 14:47:35",
"content": "for $y=\\sqrt x$, the disc method is more usefull",
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},
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"id": 1004822992552988800,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/04/2022 14:47:50",
"content": "**a Taylor loves Maclaurin**",
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"timestamp": "08/04/2022 14:47:59",
"content": "am I right? @Mr. Gamer",
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},
{
"id": 1004823189798535300,
"author_id": 704073651175293000,
"author_name": "Nyscian",
"timestamp": "08/04/2022 14:48:37",
"content": "rotating about x-axis",
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},
{
"id": 1004823537003020300,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "08/04/2022 14:49:59",
"content": "Yes",
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},
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"id": 1004823590333599700,
"author_id": 704073651175293000,
"author_name": "Nyscian",
"timestamp": "08/04/2022 14:50:12",
"content": "Thank you! I got it",
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},
{
"id": 1004823596104962000,
"author_id": 704073651175293000,
"author_name": "Nyscian",
"timestamp": "08/04/2022 14:50:14",
"content": "now",
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},
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"id": 1004827374862479400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/04/2022 15:05:14",
"content": "@Nyscian Has your question been resolved?",
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"timestamp": "08/04/2022 15:12:17",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
bbc646df8ef3484d910ef0e45d238204
|
197,632 |
[
{
"id": 1004858464771772400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/04/2022 17:08:47",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1004859816101036200,
"author_id": 470689449748201500,
"author_name": "Capt",
"timestamp": "08/04/2022 17:14:09",
"content": "why does this",
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"id": 1004859818026213400,
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"timestamp": "08/04/2022 17:14:10",
"content": "Pinned a message.",
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"author_id": 470689449748201500,
"author_name": "Capt",
"timestamp": "08/04/2022 17:14:28",
"content": "turn into this",
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"id": 1004859941212926200,
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"timestamp": "08/04/2022 17:14:39",
"content": "what log rules allow me to do that",
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},
{
"id": 1004860013447221400,
"author_id": 470689449748201500,
"author_name": "Capt",
"timestamp": "08/04/2022 17:14:56",
"content": "guessing it has to do with this",
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"id": 1004860134780059800,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/04/2022 17:15:25",
"content": "change of base with the fraction, then the quotient for the difference",
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"id": 1004860283451363500,
"author_id": 470689449748201500,
"author_name": "Capt",
"timestamp": "08/04/2022 17:16:00",
"content": "How do i apply the change of base rule here tho ?",
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},
{
"id": 1004860426615525400,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/04/2022 17:16:35",
"content": "$\\frac{\\log x}{\\log c}$ has a common base",
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},
{
"id": 1004860437185179600,
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"author_name": "TeXit",
"timestamp": "08/04/2022 17:16:37",
"content": "**Toby**",
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"author_id": 470689449748201500,
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"timestamp": "08/04/2022 17:16:47",
"content": "yeah",
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},
{
"id": 1004860513534095500,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/04/2022 17:16:55",
"content": "so its $\\log_c x$",
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},
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"timestamp": "08/04/2022 17:16:58",
"content": "**Toby**",
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"content": "what base is that tho ?",
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"content": "its not mentionned",
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"timestamp": "08/04/2022 17:17:08",
"content": "either 10 or e or 2",
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"timestamp": "08/04/2022 17:17:12",
"content": "ok",
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"timestamp": "08/04/2022 17:17:13",
"content": "depending on your convention",
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"timestamp": "08/04/2022 17:17:32",
"content": "ok so",
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"id": 1004860931181912200,
"author_id": 470689449748201500,
"author_name": "Capt",
"timestamp": "08/04/2022 17:18:35",
"content": "but i dont understand why were allowed to do that ?",
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},
{
"id": 1004860943248920600,
"author_id": 470689449748201500,
"author_name": "Capt",
"timestamp": "08/04/2022 17:18:38",
"content": "sure its the same base but",
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"timestamp": "08/04/2022 17:18:51",
"content": "",
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"timestamp": "08/04/2022 17:18:57",
"content": "so its this rn technically",
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"id": 1004861210635817000,
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"author_name": "Capt",
"timestamp": "08/04/2022 17:19:42",
"content": "c and x are arguments right ?",
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"id": 1004861219481587700,
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"timestamp": "08/04/2022 17:19:44",
"content": "yeah",
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"timestamp": "08/04/2022 17:20:03",
"content": "wouldnt this make the base now c ?",
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"timestamp": "08/04/2022 17:20:16",
"content": "yeah, it becomes $\\log_c x$",
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"timestamp": "08/04/2022 17:20:19",
"content": "**Toby**",
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"timestamp": "08/04/2022 17:20:28",
"content": "could we have done logx^c?",
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"id": 1004861557743820800,
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"timestamp": "08/04/2022 17:21:04",
"content": "no",
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"id": 1004861586244108400,
"author_id": 470689449748201500,
"author_name": "Capt",
"timestamp": "08/04/2022 17:21:11",
"content": "How come ?",
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"id": 1004861644167463000,
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"author_name": "Toby",
"timestamp": "08/04/2022 17:21:25",
"content": "you mean $\\log(x^c)$ right?",
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"id": 1004861654418333700,
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"timestamp": "08/04/2022 17:21:27",
"content": "**Toby**",
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"content": "that would be $c\\log(x)$",
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"content": "**Toby**",
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"timestamp": "08/04/2022 17:22:01",
"content": "this",
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},
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"timestamp": "08/04/2022 17:22:03",
"content": "ah",
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},
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"timestamp": "08/04/2022 17:22:26",
"content": "that would be the otherway round on the fraction $\\frac{\\log c}{\\log x}$",
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"timestamp": "08/04/2022 17:22:29",
"content": "**Toby**",
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"timestamp": "08/04/2022 17:23:15",
"content": "cant even read what the base is on that but yeah ok",
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"id": 1004862134712279000,
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"timestamp": "08/04/2022 17:23:22",
"content": "Guess i dont need to understand the logic behind it",
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},
{
"id": 1004862230195609700,
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"timestamp": "08/04/2022 17:23:45",
"content": "https://www.youtube.com/watch?v=1reblXFlM6I&vl=en",
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"id": 1004863646263951400,
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"timestamp": "08/04/2022 17:29:22",
"content": "interesting",
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},
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"id": 1004863668342767700,
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"timestamp": "08/04/2022 17:29:27",
"content": "alright one sec",
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"timestamp": "08/04/2022 17:31:48",
"content": "Alright ty i understand now",
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},
{
"id": 1004864275321462800,
"author_id": 470689449748201500,
"author_name": "Capt",
"timestamp": "08/04/2022 17:31:52",
"content": ".close",
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},
{
"id": 1004864277951295500,
"author_id": 805217272087838700,
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"timestamp": "08/04/2022 17:31:53",
"content": "Channel closed",
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}
] |
help-9
|
f026fce39b824564be61f3d0e2415175
|
197,633 |
[
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"timestamp": "08/04/2022 17:32:53",
"content": "Available help channel!",
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},
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"id": 1004864563163971700,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "08/04/2022 17:33:01",
"content": "In the perpendicular coordinate plane,\nd1 : x + 2y - 4 = 0 \nd2 : x + y + m = 0 \nA convex quadrilateral is obtained by combining the points where the d1 and d2 lines intersect the axes. Since the area of the quadrilateral obtained is 12 square units, what is the product of the values that m will take? Answer: ||-8*sqrt(2)||",
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"author_name": "Mathematics Bot",
"timestamp": "08/04/2022 17:33:02",
"content": "Pinned a message.",
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"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "08/04/2022 17:38:12",
"content": "I found that the four points we need to use are (0, 2), (4, 0), (0, -m), and (-m, 0)",
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"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "08/04/2022 17:38:34",
"content": "https://www.onlinemath4all.com/area-of-quadrilateral-when-four-vertices-are-given.html",
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"id": 1004866502731759700,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "08/04/2022 17:40:43",
"content": "Using the formula shown on the above website, I got the following:",
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"author_name": "HeadShotCem",
"timestamp": "08/04/2022 17:41:18",
"content": "|-m^2-6m-8| = 24",
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"author_name": "HeadShotCem",
"timestamp": "08/04/2022 17:42:57",
"content": "so m=-8 and m=2",
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"id": 1004867183089824000,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "08/04/2022 17:43:25",
"content": "however, the answer is not -16 :catBruh:",
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"id": 1004867209736229000,
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"author_name": "HeadShotCem",
"timestamp": "08/04/2022 17:43:32",
"content": "@Helpers",
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},
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"id": 1004869849803141100,
"author_id": 831591156919173100,
"author_name": "bendy",
"timestamp": "08/04/2022 17:54:01",
"content": "i think it should be 16 as well",
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"id": 1004870023350849700,
"author_id": 831591156919173100,
"author_name": "bendy",
"timestamp": "08/04/2022 17:54:43",
"content": "you can split the quadrilateral into its constituent right triangle components",
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"author_name": "bendy",
"timestamp": "08/04/2022 17:54:50",
"content": "$\\frac{2m}{2}+\\frac{8}{2}+2m+\\frac{m^{2}}{2}$",
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"author_name": "TeXit",
"timestamp": "08/04/2022 17:54:52",
"content": "",
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"author_name": "bendy",
"timestamp": "08/04/2022 17:55:02",
"content": "set that equal to 12, and you get -8 and 2",
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"id": 1004871363661676700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/04/2022 18:00:02",
"content": "@HeadShotCem Has your question been resolved?",
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"author_name": "HeadShotCem",
"timestamp": "08/04/2022 18:08:51",
"content": "thank you, I guess the answer key is wrong",
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"timestamp": "08/04/2022 18:38:51",
"content": "@HeadShotCem Has your question been resolved?",
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"timestamp": "08/04/2022 18:38:55",
"content": "Channel closed",
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}
] |
help-9
|
5f741ee2b13f4101922a21a4a34cf282
|
197,634 |
[
{
"id": 1004881400064909400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/04/2022 18:39:55",
"content": "Available help channel!",
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},
{
"id": 1004884045710241800,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 18:50:26",
"content": "If I have a sequence that always less than 1, and has a subsequence with a limit of 1, how do I explain that 1 is the limsup?",
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"id": 1004884048071626900,
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"author_name": "Mathematics Bot",
"timestamp": "08/04/2022 18:50:26",
"content": "Pinned a message.",
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"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 18:51:13",
"content": "I'm pretty sure it's true, just not sure how to \"explain\" it",
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},
{
"id": 1004887416760451200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/04/2022 19:03:50",
"content": "either use definition of limsup or prove by contradiction",
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{
"id": 1004888241847140400,
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"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:07:06",
"content": "I don't really see how",
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"id": 1004888343584198800,
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"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:07:31",
"content": "how do I show that 1 is the maximum limit because a_n is always less than 1?",
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"id": 1004889999499608000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/04/2022 19:14:05",
"content": "what's $\\limsup (1 - \\frac{1}{n})=?$",
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"id": 1004890010702581800,
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"author_name": "TeXit",
"timestamp": "08/04/2022 19:14:08",
"content": "**riemann**",
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"timestamp": "08/04/2022 19:15:43",
"content": "1",
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},
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"id": 1004890889547686000,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/04/2022 19:17:38",
"content": "that sequence is always less than 1",
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},
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"id": 1004891018149253100,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:18:08",
"content": "yes it is",
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"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:18:51",
"content": "so what are you saying?",
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"id": 1004891243781836900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/04/2022 19:19:02",
"content": ".",
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"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:19:24",
"content": "im not looking for an example",
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"id": 1004891394499940500,
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"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:19:38",
"content": "im asking how to explain it",
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"id": 1004891420726935600,
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"author_name": "riemann",
"timestamp": "08/04/2022 19:19:44",
"content": "you figured it out",
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"id": 1004891458014298100,
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"timestamp": "08/04/2022 19:19:53",
"content": "how did you come up with this",
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"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:20:06",
"content": "just visualizing",
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"author_id": 282398643519225860,
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"timestamp": "08/04/2022 19:20:25",
"content": "is that the explanation?",
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"id": 1004891607809654800,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:20:29",
"content": "is it sufficient?",
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"id": 1004891647726854100,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:20:38",
"content": "maximum limit is 1, because a_n < 1?",
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"id": 1004891721890537600,
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"author_name": "riemann",
"timestamp": "08/04/2022 19:20:56",
"content": "no you have to use the definition",
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"id": 1004891739481444400,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/04/2022 19:21:00",
"content": "or prove it by contradiction",
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},
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"id": 1004891816224641200,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:21:18",
"content": "both work?",
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"id": 1004891839645622400,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:21:24",
"content": "I can't see how to use the definition",
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{
"id": 1004892047511146500,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/04/2022 19:22:14",
"content": "write down the definition first",
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"id": 1004892116159299700,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:22:30",
"content": "definition is just the maximum limit of the subsequences, no?",
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"id": 1004893533947314300,
"author_id": 189001310937284600,
"author_name": "Tom",
"timestamp": "08/04/2022 19:28:08",
"content": "$\\lim \\sup \\{ a\\_n \\} = \\lim_{n \\to \\inf} \\{ \\sup \\{ a_i\\}_{i > n}\\}$",
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"id": 1004893644974735500,
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"author_name": "TeXit",
"timestamp": "08/04/2022 19:28:34",
"content": "**Tom**",
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"timestamp": "08/04/2022 19:28:45",
"content": "bad tex",
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"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:29:21",
"content": "I thought lim sup was just a symbol or something",
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"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:29:26",
"content": "didn't know this was the definition",
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"timestamp": "08/04/2022 19:29:56",
"content": "$\\lim \\sup { a_n } = \\lim_{n \\to \\inf} { \\sup { ai | i > n}}$",
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"timestamp": "08/04/2022 19:29:59",
"content": "**RedstonePlayz09**",
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"timestamp": "08/04/2022 19:30:08",
"content": "how would u write this with a |",
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"author_name": "Tom",
"timestamp": "08/04/2022 19:30:34",
"content": "$\\lim \\sup { an } = \\lim{n \\to \\inf} { \\sup \\{ ai | i > n\\}}$",
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"timestamp": "08/04/2022 19:30:36",
"content": "**Tom**",
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"author_name": "riemann",
"timestamp": "08/04/2022 19:31:06",
"content": "https://www.youtube.com/watch?v=-y0v2V0-_8E",
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"id": 1004894303006511100,
"author_id": 189001310937284600,
"author_name": "Tom",
"timestamp": "08/04/2022 19:31:11",
"content": "it's a bit of a pain formatting through discord markup and latex too",
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"id": 1004894431935221800,
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"author_name": "Tom",
"timestamp": "08/04/2022 19:31:42",
"content": "but once you break it down like this you can use the definition of sup",
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"timestamp": "08/04/2022 19:31:50",
"content": "okay let me try",
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"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:34:36",
"content": "by the way, why don't I see this definition in my book?",
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"timestamp": "08/04/2022 19:34:51",
"content": "idk",
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"author_name": "Tom",
"timestamp": "08/04/2022 19:35:00",
"content": "I assume your book defines limsup somewhere",
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"id": 1004895351511195800,
"author_id": 189001310937284600,
"author_name": "Tom",
"timestamp": "08/04/2022 19:35:21",
"content": "maybe it uses a different definition",
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"timestamp": "08/04/2022 19:35:41",
"content": "it just says its the maximum limit",
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"timestamp": "08/04/2022 19:35:45",
"content": "of the subsequences",
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"id": 1004896013644996600,
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"author_name": "Tom",
"timestamp": "08/04/2022 19:37:59",
"content": "pretty sure they're equivalent, but maybe it's better to use that",
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"author_name": "Tom",
"timestamp": "08/04/2022 19:38:53",
"content": "in that case it's pretty clear limsup(a_n) >= 1 since you've got an example of a subsequence of limit 1",
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"timestamp": "08/04/2022 19:39:38",
"content": "so you've got to show that no sequence of terms < 1 can't converge to a limit > 1",
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"id": 1004896782536409100,
"author_id": 189001310937284600,
"author_name": "Tom",
"timestamp": "08/04/2022 19:41:03",
"content": "I'd suggest assuming a_n -> x for some x>1 and try to find a contradiction",
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"timestamp": "08/04/2022 19:44:07",
"content": "a_n < 1",
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"timestamp": "08/04/2022 19:44:19",
"content": "so it can't converge to something bigger than 1",
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"timestamp": "08/04/2022 19:44:51",
"content": "just need to explain that",
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"timestamp": "08/04/2022 19:45:04",
"content": "also u mean assuming a_n_k -> x",
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"timestamp": "08/04/2022 19:45:05",
"content": "right?",
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"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:45:13",
"content": "like, a subsequence",
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"author_id": 189001310937284600,
"author_name": "Tom",
"timestamp": "08/04/2022 19:45:29",
"content": "sorry bad notation",
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"id": 1004897944039850000,
"author_id": 189001310937284600,
"author_name": "Tom",
"timestamp": "08/04/2022 19:45:39",
"content": "I meant show it for a general series b_n",
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"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:45:46",
"content": "okay",
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"author_id": 189001310937284600,
"author_name": "Tom",
"timestamp": "08/04/2022 19:45:50",
"content": "with b_n < 1",
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"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:45:56",
"content": "well its clear that if a_n_k is a subsequence",
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"timestamp": "08/04/2022 19:46:01",
"content": "then it would apply to any subsequence of a_n",
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"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:46:12",
"content": "n_k is an increasing sequence of natural numbers",
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"id": 1004898171455021000,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:46:34",
"content": "so every index in n_k is a natural number, so a_n_k is also < 1",
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"id": 1004898202266386600,
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"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:46:41",
"content": "ok this is overcomplicating it",
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"id": 1004898291168854000,
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"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:47:02",
"content": "I can just say that the subsequence is less than 1 aswell",
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"id": 1004898342490349600,
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"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:47:14",
"content": "but im not sure how to use the limit here",
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"timestamp": "08/04/2022 19:48:06",
"content": "this is mostly to avoid bothering with subsequence notation. Think of b_n being a_n_k",
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"timestamp": "08/04/2022 19:48:27",
"content": "but back to the point",
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"id": 1004898824751431700,
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"author_name": "Tom",
"timestamp": "08/04/2022 19:49:09",
"content": "if you have b_n -> x then from the definition of convergence you have |x - b_n| -> 0",
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"id": 1004899040477061200,
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"author_name": "Tom",
"timestamp": "08/04/2022 19:50:01",
"content": "so when given x>1 if we can bound x-b_n away from 0 we show that b_n can't converge to x",
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"timestamp": "08/04/2022 19:51:45",
"content": "x - b_n > 0",
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"id": 1004899562667913200,
"author_id": 189001310937284600,
"author_name": "Tom",
"timestamp": "08/04/2022 19:52:05",
"content": "and here we can rewrite as (x-1) + (1-b_n) > x-1 > 0",
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"id": 1004899603751112800,
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"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:52:15",
"content": "yes",
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"id": 1004899630649200600,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:52:22",
"content": "so",
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"id": 1004899655211032700,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:52:27",
"content": "(x - b_n) / 2",
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},
{
"id": 1004899673053605900,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:52:32",
"content": "is inbetween",
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},
{
"id": 1004899689331703800,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:52:36",
"content": "so it doesn't converge to 0?",
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},
{
"id": 1004899802192019600,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:53:02",
"content": "this is pretty complicated",
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},
{
"id": 1004900137132368000,
"author_id": 189001310937284600,
"author_name": "Tom",
"timestamp": "08/04/2022 19:54:22",
"content": "basically the distance from 1 to x is a constant",
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},
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"id": 1004900183894675600,
"author_id": 189001310937284600,
"author_name": "Tom",
"timestamp": "08/04/2022 19:54:33",
"content": "and b_n can never be closer to x than 1 is",
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"id": 1004900339985686500,
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"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:55:11",
"content": "oh okay",
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},
{
"id": 1004900534349738100,
"author_id": 189001310937284600,
"author_name": "Tom",
"timestamp": "08/04/2022 19:55:57",
"content": "so as n tends to infinity b_n is always at least |x-1| away from x",
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},
{
"id": 1004900835735646200,
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"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:57:09",
"content": "ok let me write all of this down",
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},
{
"id": 1004900903951810600,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 19:57:25",
"content": "honestly seems very long for such a simple claim",
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},
{
"id": 1004900990740345000,
"author_id": 189001310937284600,
"author_name": "Tom",
"timestamp": "08/04/2022 19:57:46",
"content": "that's more on me for explaining badly I think",
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},
{
"id": 1004901727381762000,
"author_id": 189001310937284600,
"author_name": "Tom",
"timestamp": "08/04/2022 20:00:41",
"content": "I guess to compact it, it mainly comes down to |x-b_n| = x-b_n > x-1 > 0 and the definition of convergence",
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{
"id": 1004901982793912400,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 20:01:42",
"content": "not really.. just honestly seems too much for what im doing",
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},
{
"id": 1004901986078032000,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 20:01:43",
"content": "welp",
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},
{
"id": 1004902025307377800,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 20:01:53",
"content": "i understand it now",
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},
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"id": 1004902034304151700,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 20:01:55",
"content": "thank you so much",
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},
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"id": 1004902168408625300,
"author_id": 282398643519225860,
"author_name": "RedstonePlayz09",
"timestamp": "08/04/2022 20:02:27",
"content": ".close",
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"id": 1004902170333814800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/04/2022 20:02:27",
"content": "Channel closed",
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}
] |
help-9
|
32e0dc48e94e457aa41f2f0932e4308f
|
197,635 |
[
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"timestamp": "08/04/2022 20:46:39",
"content": "Available help channel!",
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"id": 1004919579480444900,
"author_id": 875152164039823500,
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"content": "plz",
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"content": "Pinned a message.",
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"timestamp": "08/04/2022 21:11:42",
"content": "just the one that is wrong",
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},
{
"id": 1004920011279835300,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/04/2022 21:13:21",
"content": "The index changed on you",
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"id": 1004921356703506400,
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"content": "yes",
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"timestamp": "08/04/2022 21:18:45",
"content": "so what do ichange plz",
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"timestamp": "08/04/2022 21:33:46",
"content": "@123456789g Has your question been resolved?",
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"timestamp": "08/04/2022 21:44:54",
"content": "does anyone know what i change",
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"id": 1004927966024839200,
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"timestamp": "08/04/2022 21:44:57",
"content": "whats the right aswer",
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"id": 1004928003698069600,
"author_id": 875152164039823500,
"author_name": "123456789g",
"timestamp": "08/04/2022 21:45:06",
"content": "ik the index is 2 now",
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"timestamp": "08/04/2022 22:15:06",
"content": "@123456789g Has your question been resolved?",
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"timestamp": "08/04/2022 23:01:47",
"content": "Write out the first few terms using the new index so you know what exponent to input",
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"timestamp": "08/05/2022 00:21:48",
"content": "Channel closed",
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}
] |
help-9
|
89d1651a3b4e418c9a12b5bfc0a40831
|
197,636 |
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"id": 1004975410670481500,
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"timestamp": "08/05/2022 00:58:23",
"content": "so it's 15 questions, 20 is irrelevant",
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"timestamp": "08/05/2022 01:00:30",
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"content": "can anyone check if I did this correctly",
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"timestamp": "08/05/2022 01:02:27",
"content": "did you write too many zeroes",
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"timestamp": "08/05/2022 01:02:33",
"content": "one sec",
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"timestamp": "08/05/2022 01:02:39",
"content": "it's 0.75 the first time",
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"content": "oh",
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"timestamp": "08/05/2022 01:03:16",
"content": "and it's maybe assumed that you want 10+",
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"timestamp": "08/05/2022 01:03:20",
"content": "but idk",
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"author_name": "reign",
"timestamp": "08/05/2022 01:03:31",
"content": "so should I switch the .25's with .75",
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"id": 1004977944592142300,
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"timestamp": "08/05/2022 01:03:33",
"content": "i got something different",
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"timestamp": "08/05/2022 01:03:35",
"content": "no",
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"timestamp": "08/05/2022 01:03:51",
"content": "the probability to get a question right is .25",
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"id": 1004978044588539900,
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"content": "yes",
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"timestamp": "08/05/2022 01:04:19",
"content": "my answer is 15C10* (0.25)^10 though",
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"id": 1004978226038325400,
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"author_name": "Agatsuma",
"timestamp": "08/05/2022 01:04:40",
"content": "because the probability that you get all 10 correct in the 10 that you guess is (1/4)^10",
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"id": 1004978353977167900,
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"author_name": "Agatsuma",
"timestamp": "08/05/2022 01:05:11",
"content": "and then the number of ways you can pick 10 out of 15 and order does not matter is 15C10",
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"id": 1004978797508042800,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "08/05/2022 01:06:56",
"content": "Would u not convert to normal",
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"id": 1004978873307513000,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "08/05/2022 01:07:15",
"content": "Since it says randomly on 15 questions",
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"id": 1004978946967863400,
"author_id": 859700427460706300,
"author_name": "reign",
"timestamp": "08/05/2022 01:07:32",
"content": "im so confused rn",
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"id": 1004979365966250000,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "08/05/2022 01:09:12",
"content": "there are 3003 ways to pick 10 in 15",
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"author_name": "Agatsuma",
"timestamp": "08/05/2022 01:09:35",
"content": "and then the probability that you get all 10 correct by guessing randomly is 1/4^10",
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"timestamp": "08/05/2022 01:10:30",
"content": "do you understand? @reign",
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"timestamp": "08/05/2022 01:10:54",
"content": "",
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"id": 1004979807840374900,
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"author_name": "reign",
"timestamp": "08/05/2022 01:10:57",
"content": "so im just doing this then",
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"id": 1004979830401536000,
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"author_name": "Agatsuma",
"timestamp": "08/05/2022 01:11:03",
"content": "correct",
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"id": 1004979859078008800,
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"author_name": "reign",
"timestamp": "08/05/2022 01:11:10",
"content": "I understand now",
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"id": 1004979865449140400,
"author_id": 859700427460706300,
"author_name": "reign",
"timestamp": "08/05/2022 01:11:11",
"content": "thank you",
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"id": 1004979887406334000,
"author_id": 693667799201218600,
"author_name": "Agatsuma",
"timestamp": "08/05/2022 01:11:16",
"content": "good job and no problem",
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"author_name": "frownyfrog",
"timestamp": "08/05/2022 01:12:12",
"content": "that's wrong",
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"id": 1004980287400329200,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "08/05/2022 01:12:52",
"content": "Right",
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{
"id": 1004980326231199700,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "08/05/2022 01:13:01",
"content": "Becuz my thought process was",
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"id": 1004980405956509800,
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"author_name": "D.",
"timestamp": "08/05/2022 01:13:20",
"content": "U have X~B(0.25,15)",
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"id": 1004980541893922800,
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"timestamp": "08/05/2022 01:13:52",
"content": "Then convert to normal",
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"id": 1004980621875101800,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "08/05/2022 01:14:11",
"content": "Y~N(mean, variance)",
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"id": 1004980702837747800,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "08/05/2022 01:14:31",
"content": "And then find the probability",
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"id": 1004980765769076900,
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"timestamp": "08/05/2022 01:14:46",
"content": "Just my thought process",
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"author_name": "reign",
"timestamp": "08/05/2022 01:15:35",
"content": "im confused again",
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},
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"id": 1004981145898852400,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "08/05/2022 01:16:16",
"content": "If you havent learnt binomial or normal distribution then ion know",
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"id": 1004981332620886100,
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"author_name": "frownyfrog",
"timestamp": "08/05/2022 01:17:01",
"content": "faygo didn't get the right solution for either intepretation (exactly 10 or at least ten)",
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"id": 1004981576154751100,
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"author_name": "D.",
"timestamp": "08/05/2022 01:17:59",
"content": "Yes its P(X>=10)",
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"timestamp": "08/05/2022 01:18:08",
"content": "what do you mean yes",
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"author_name": "frownyfrog",
"timestamp": "08/05/2022 01:18:31",
"content": "you mean you;re certain it doesn't ask for exactly 10?",
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"id": 1004981723815231500,
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"timestamp": "08/05/2022 01:18:34",
"content": "you can't say that",
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"id": 1004981771638669300,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "08/05/2022 01:18:46",
"content": "The question is asking for P(X>=10)",
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"id": 1004981822842749000,
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"timestamp": "08/05/2022 01:18:58",
"content": "no that's just a guess",
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"id": 1004981827641032700,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "08/05/2022 01:18:59",
"content": "Yh i didnt say it equals to 10",
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"id": 1004981843122208900,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "08/05/2022 01:19:03",
"content": "What",
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{
"id": 1004981909694189600,
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"author_name": "frownyfrog",
"timestamp": "08/05/2022 01:19:18",
"content": "it's just a guess, that the question is asking P(X>=10)",
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"id": 1004981940622999600,
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"timestamp": "08/05/2022 01:19:26",
"content": "i agree with it, you can;t be certain though",
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"id": 1004982058789126100,
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"timestamp": "08/05/2022 01:19:54",
"content": "Wdym he can 10+ questions right",
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"timestamp": "08/05/2022 01:20:18",
"content": "or exactly 10",
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"id": 1004982189332639700,
"author_id": 141791176540946430,
"author_name": "frownyfrog",
"timestamp": "08/05/2022 01:20:25",
"content": "how can you tell which it is",
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"id": 1004982218302685200,
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"timestamp": "08/05/2022 01:20:32",
"content": "it just says 10",
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"id": 1004982225315569700,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "08/05/2022 01:20:34",
"content": "Right in sample for 15 questions???",
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"id": 1004982297033986000,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "08/05/2022 01:20:51",
"content": "Alr buddy",
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},
{
"id": 1004982396975857700,
"author_id": 408715646956863500,
"author_name": "D.",
"timestamp": "08/05/2022 01:21:15",
"content": "Its P(X>=10)",
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},
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"id": 1004982411592998900,
"author_id": 859700427460706300,
"author_name": "reign",
"timestamp": "08/05/2022 01:21:18",
"content": ".close",
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},
{
"id": 1004982413379768400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 01:21:19",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
1f07542a67574e83b4352ba3a7f6b24b
|
197,637 |
[
{
"id": 959570944307908600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 17:52:21",
"content": "Available help channel!",
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"reference": null
},
{
"id": 959573972129833000,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "04/01/2022 18:04:22",
"content": "if I have an equation x=(r•0.8091), then is x^2 just r^2•0.8091^2 ?",
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},
{
"id": 959573974050803700,
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"timestamp": "04/01/2022 18:04:23",
"content": "Pinned a message.",
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"channelId": 486844875632017400,
"guildId": null
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{
"id": 959574172646912000,
"author_id": 350099379501138000,
"author_name": "PacosEatsTacos",
"timestamp": "04/01/2022 18:05:10",
"content": "I don’t remember how to solve #2",
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"author_name": "caden_the_cadet",
"timestamp": "04/01/2022 18:05:20",
"content": "Bruh I’m using this channel",
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},
{
"id": 959574244738609200,
"author_id": 350099379501138000,
"author_name": "PacosEatsTacos",
"timestamp": "04/01/2022 18:05:27",
"content": "Sorry my bad",
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},
{
"id": 959574257896161400,
"author_id": 350099379501138000,
"author_name": "PacosEatsTacos",
"timestamp": "04/01/2022 18:05:31",
"content": "I’ll leave",
"attachments": [],
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"reference": null
},
{
"id": 959574414557581300,
"author_id": 536177306578845700,
"author_name": "Shallow.",
"timestamp": "04/01/2022 18:06:08",
"content": "Yes",
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"timestamp": "04/01/2022 18:06:11",
"content": "Thanks",
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},
{
"id": 959574451777851400,
"author_id": 437818258372952060,
"author_name": "caden_the_cadet",
"timestamp": "04/01/2022 18:06:17",
"content": ".close",
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},
{
"id": 959574453409427600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 18:06:17",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
ab4c3f30755344128dac1f4e53f9cd15
|
197,638 |
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"id": 1004982437534761000,
"author_id": 859700427460706300,
"author_name": "reign",
"timestamp": "08/05/2022 01:21:24",
"content": "https://tenor.com/view/monkewait-gorilla-eating-meme-monke-siegemonkewait-gorilla-wait-gif-22185671",
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},
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"id": 1004983898125635600,
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"content": "Pinned a message.",
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"id": 1004984019382972500,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/05/2022 01:27:41",
"content": "careful of the preplaced sigma notation",
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{
"id": 1004984027918385300,
"author_id": 183668144404037630,
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"timestamp": "08/05/2022 01:27:43",
"content": "their n begins at 2",
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"id": 1004986374568554600,
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"id": 1004986401860890600,
"author_id": 875152164039823500,
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"timestamp": "08/05/2022 01:37:09",
"content": "what part of my answer is wrong",
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"timestamp": "08/05/2022 01:37:13",
"content": "can u circle it",
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"timestamp": "08/05/2022 01:37:41",
"content": "all of it lol",
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"timestamp": "08/05/2022 01:38:01",
"content": "$x \\log(1+x) = \\sum_{n={\\color{red}1}}^{\\infty}(-1)^{n+1}\\frac{x^{n+1}}{n}$",
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"timestamp": "08/05/2022 01:38:03",
"content": "**Ann**",
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"timestamp": "08/05/2022 01:38:04",
"content": "you need to reindex your series",
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"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 01:52:13",
"content": "@123456789g Has your question been resolved?",
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"timestamp": "08/05/2022 02:00:39",
"content": "All you need to do is write out terms from your previous part and figure out what exponent it needs to be given n starts at 2.",
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"timestamp": "08/05/2022 02:01:27",
"content": "Plugging in numbers in the first few terms of the expansion and match them accordingly. 3 terms should be enough",
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"content": "",
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"timestamp": "08/05/2022 02:07:47",
"content": "so do i just replace all the -1",
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"timestamp": "08/05/2022 02:07:48",
"content": "to 2",
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"id": 1004994116276453500,
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"timestamp": "08/05/2022 02:07:49",
"content": "?",
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"id": 1004994175982374900,
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"author_name": "riemann",
"timestamp": "08/05/2022 02:08:03",
"content": "Show your work",
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"timestamp": "08/05/2022 02:26:40",
"content": "i dont have lol",
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"timestamp": "08/05/2022 02:43:16",
"content": "Why not",
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"timestamp": "08/05/2022 02:43:54",
"content": "You don't have paper and pen?",
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"id": 1005004338931974100,
"author_id": 875152164039823500,
"author_name": "123456789g",
"timestamp": "08/05/2022 02:48:26",
"content": "because i literally just want to understand how to solve and see the answer for this problem",
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"id": 1005004368979968000,
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"timestamp": "08/05/2022 02:48:33",
"content": "i want to see the work",
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},
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"id": 1005004397065015300,
"author_id": 875152164039823500,
"author_name": "123456789g",
"timestamp": "08/05/2022 02:48:40",
"content": "from someone who understands this better",
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},
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"id": 1005004410713284600,
"author_id": 875152164039823500,
"author_name": "123456789g",
"timestamp": "08/05/2022 02:48:43",
"content": "just for this one question",
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"id": 1005006533022711900,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "08/05/2022 02:57:09",
"content": "Nah that's not how this server works",
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"id": 1005006575271952500,
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"author_name": "riemann",
"timestamp": "08/05/2022 02:57:19",
"content": "Can't give away answers",
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"author_name": "riemann",
"timestamp": "08/05/2022 02:58:02",
"content": "You should do the work yourself with instructions I gave",
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"id": 1005009532918956000,
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"timestamp": "08/05/2022 03:09:04",
"content": "close.",
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},
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"id": 1005009556612587500,
"author_id": 875152164039823500,
"author_name": "123456789g",
"timestamp": "08/05/2022 03:09:10",
"content": "@close",
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},
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"id": 1005009580729835500,
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"author_name": "123456789g",
"timestamp": "08/05/2022 03:09:16",
"content": "@fiona close.",
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"id": 1005009629056610400,
"author_id": 337194901441740800,
"author_name": "prawnpizza",
"timestamp": "08/05/2022 03:09:27",
"content": "Its (.)close",
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},
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"id": 1005009702423367800,
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"author_name": "123456789g",
"timestamp": "08/05/2022 03:09:45",
"content": "(.)close",
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"id": 1005009737877827600,
"author_id": 337194901441740800,
"author_name": "prawnpizza",
"timestamp": "08/05/2022 03:09:53",
"content": "Without the brackets",
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},
{
"id": 1005009756840284200,
"author_id": 875152164039823500,
"author_name": "123456789g",
"timestamp": "08/05/2022 03:09:58",
"content": "close",
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},
{
"id": 1005009779443384300,
"author_id": 337194901441740800,
"author_name": "prawnpizza",
"timestamp": "08/05/2022 03:10:03",
"content": "With the .",
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},
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"id": 1005009791481032700,
"author_id": 875152164039823500,
"author_name": "123456789g",
"timestamp": "08/05/2022 03:10:06",
"content": "close.",
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},
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"author_id": 337194901441740800,
"author_name": "prawnpizza",
"timestamp": "08/05/2022 03:10:09",
"content": "Bruh",
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"content": ".close",
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"id": 1005009870396866700,
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"timestamp": "08/05/2022 03:10:25",
"content": ".close",
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},
{
"id": 1005009873345466500,
"author_id": 805217272087838700,
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"timestamp": "08/05/2022 03:10:25",
"content": "Channel closed",
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}
] |
help-9
|
b47b2ef874c149d9b9aeeb1c0330d9b3
|
197,639 |
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"id": 1005010124756230100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 03:11:25",
"content": "Available help channel!",
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},
{
"id": 1005014274940358700,
"author_id": 670356760338628600,
"author_name": "Kaizoku",
"timestamp": "08/05/2022 03:27:55",
"content": "How do I solve this?",
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"timestamp": "08/05/2022 03:27:56",
"content": "Pinned a message.",
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"timestamp": "08/05/2022 03:31:25",
"content": "Take cases",
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"timestamp": "08/05/2022 03:32:01",
"content": "Divide into three cases",
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"content": "so for example d. I should just plug in 1 and 3 ino x?",
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"content": "No",
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"content": "what do you mean then?",
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"timestamp": "08/05/2022 03:32:35",
"content": "Also in option d 1 and 3 are not even in the options☠️",
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"content": "Do you know how to break the mod function into two piecewise functions",
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"timestamp": "08/05/2022 03:33:07",
"content": "No?",
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"timestamp": "08/05/2022 03:33:41",
"content": "|x|=x, for x belong to [0, inf)\n =-x, for x belong to (-inf,0)",
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"timestamp": "08/05/2022 03:34:04",
"content": "Try to break the two modulus u have like this",
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"timestamp": "08/05/2022 03:35:41",
"content": "Whether or not you want to read it is your problem",
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"timestamp": "08/05/2022 03:36:06",
"content": "what?",
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"timestamp": "08/05/2022 03:36:26",
"content": "I still don't understand",
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"content": "Three cases",
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"timestamp": "08/05/2022 03:37:14",
"content": "(-infinity,1]",
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},
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"timestamp": "08/05/2022 03:37:19",
"content": "[1,3]",
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"timestamp": "08/05/2022 03:37:28",
"content": "[3,infinity)",
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"timestamp": "08/05/2022 03:37:50",
"content": "Yeh",
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"timestamp": "08/05/2022 03:39:13",
"content": "what do you do with the cases though?",
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"timestamp": "08/05/2022 03:39:51",
"content": "4-2x",
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"timestamp": "08/05/2022 03:40:08",
"content": "2",
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"timestamp": "08/05/2022 03:40:20",
"content": "2x-4",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/05/2022 03:40:46",
"content": "That hard to understand?",
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"timestamp": "08/05/2022 03:40:46",
"content": "huh",
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"timestamp": "08/05/2022 03:40:50",
"content": "U dont understand how |x| was written like that?",
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"timestamp": "08/05/2022 03:40:53",
"content": "where did you get them from",
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"timestamp": "08/05/2022 03:41:14",
"content": "Nah I understand that but idk how to apply it to my question",
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"timestamp": "08/05/2022 03:41:17",
"content": "I'm a bit slow",
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"author_name": "Kaizoku",
"timestamp": "08/05/2022 03:42:02",
"content": "Can you just tell me the answer?",
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"timestamp": "08/05/2022 03:42:25",
"content": "Okay so for exmaple if u have |x-1|, if x-1>=0, the thing inside wud be positive/zero and having the mod outside wont change anything",
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"content": "So if x-1>=0 solve for x",
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"content": "Thats only a subset of the answer",
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"timestamp": "08/05/2022 03:46:14",
"content": "what about the -| x- 3 |",
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"content": "Bruh ur skipping ahead without even doing the stuff",
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"content": "x - 1 >= 0",
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"content": "x >= 1",
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"timestamp": "08/05/2022 03:48:41",
"content": "Right",
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"timestamp": "08/05/2022 03:49:12",
"content": "So when x belongs to [1, inf) ,|x-1|=x-1",
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"timestamp": "08/05/2022 03:49:43",
"content": "yeh",
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"content": "What do u think will happen to|x-1| when x belongs to (-inf,1)",
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"timestamp": "08/05/2022 03:50:05",
"content": "uh",
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"timestamp": "08/05/2022 03:50:36",
"content": "it stays the same?",
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"author_name": "idontsleepanymore",
"timestamp": "08/05/2022 03:51:06",
"content": "So ur saying for x belong to (-inf,1), |x-1|= x-1?",
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"timestamp": "08/05/2022 03:51:38",
"content": "If that is the case can you pls check for a random x=-2 ☠️",
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"content": "idk",
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"content": "🗿",
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"content": "Just check for a random value whether or not the things ur saying equal are equal or not",
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"timestamp": "08/05/2022 03:55:19",
"content": "How do I check that though.",
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"timestamp": "08/05/2022 04:00:37",
"content": "By putting the random value in both of the expressions you think are equal and seeing if they give the same output",
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"timestamp": "08/05/2022 04:08:06",
"content": "ohhh",
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"timestamp": "08/05/2022 04:08:52",
"content": "It doesn't have a solution right?",
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"timestamp": "08/05/2022 04:09:32",
"content": "What doesnt",
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"content": ".",
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"content": "@idontsleepanymore",
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"timestamp": "08/05/2022 04:11:33",
"content": "How did u do it, if u dont know how to solve casewise",
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"timestamp": "08/05/2022 04:12:27",
"content": "The only other way i can think of is the graph solution",
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"timestamp": "08/05/2022 04:12:33",
"content": "I put in x = 1, 3 and it didn't work",
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"timestamp": "08/05/2022 04:12:38",
"content": "so it can't be d.",
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"timestamp": "08/05/2022 04:12:42",
"content": "then I just guessed",
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"timestamp": "08/05/2022 04:13:04",
"content": "Putting in x=1 and 3, and it not working doesnt eliminate option d",
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"timestamp": "08/05/2022 04:13:15",
"content": "Because option d isnt even taking about 1 and 3",
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"timestamp": "08/05/2022 04:13:36",
"content": "oh",
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"timestamp": "08/05/2022 04:13:49",
"content": "Do you understand the interval notation 😞",
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"timestamp": "08/05/2022 04:13:59",
"content": "No?",
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"timestamp": "08/05/2022 04:14:29",
"content": "x belongs to [a,b] means a<=x<=b",
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"timestamp": "08/05/2022 04:14:47",
"content": "x belongs to (c,d) means c<x<d",
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"timestamp": "08/05/2022 04:15:23",
"content": "Oh",
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"timestamp": "08/05/2022 04:15:29",
"content": "I thought it was the other way around",
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"timestamp": "08/05/2022 04:15:36",
"content": "Do u now see why option d isnt talking about 1 and 3",
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"timestamp": "08/05/2022 04:15:47",
"content": "yeh",
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"timestamp": "08/05/2022 04:15:56",
"content": "because x is bigger than 1 but smaller than 3",
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"timestamp": "08/05/2022 04:16:41",
"content": "But regardless, if options werent there, u cant do this by the process of elimination, i think its best if u just try to learn the general solution",
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"timestamp": "08/05/2022 04:16:56",
"content": "what is it?",
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"author_name": "Kaizoku",
"timestamp": "08/05/2022 04:17:13",
"content": "will I be able to learn it in 2 hours?",
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"timestamp": "08/05/2022 04:17:16",
"content": "I have an exam",
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"timestamp": "08/05/2022 04:17:18",
"content": "in 2 hours",
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"timestamp": "08/05/2022 04:17:42",
"content": "3 hours*",
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"timestamp": "08/05/2022 04:17:51",
"content": "I was trying to teach u that only ,it involves taking cases of x and solving",
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"timestamp": "08/05/2022 04:17:57",
"content": "Probably",
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"timestamp": "08/05/2022 04:18:27",
"content": "ok",
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"timestamp": "08/05/2022 04:18:35",
"content": "so like",
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"author_name": "Kaizoku",
"timestamp": "08/05/2022 04:18:52",
"content": "How would you do it?",
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"author_name": "idontsleepanymore",
"timestamp": "08/05/2022 04:18:55",
"content": "But u need to understand in order to take cases u need intervals of x",
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"author_name": "idontsleepanymore",
"timestamp": "08/05/2022 04:19:08",
"content": "And in order to find the intervals u need to understand how the mod function works",
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"timestamp": "08/05/2022 04:19:24",
"content": "It turns negative numbers into positive ones",
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"timestamp": "08/05/2022 04:19:52",
"content": "It also keeps the positive numbers positive and 0 is 0",
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"timestamp": "08/05/2022 04:20:03",
"content": "yep",
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"timestamp": "08/05/2022 04:20:06",
"content": "Do u understand this?",
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"timestamp": "08/05/2022 04:20:36",
"content": "I do know",
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"author_name": "idontsleepanymore",
"timestamp": "08/05/2022 04:21:02",
"content": "Try breaking |x-1| again",
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"author_id": 670356760338628600,
"author_name": "Kaizoku",
"timestamp": "08/05/2022 04:21:30",
"content": "what do you mean by breaking?",
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"author_name": "idontsleepanymore",
"timestamp": "08/05/2022 04:21:52",
"content": "Intro two piecewise functions like |x| is broken",
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"author_name": "Kaizoku",
"timestamp": "08/05/2022 04:22:22",
"content": "so |x| |-1|?",
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"content": "😞",
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"content": "Just a little",
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"content": "but idk how to do this",
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"content": "If x-1>=0, solve for x",
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"content": "We already did that",
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"content": "1",
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"timestamp": "08/05/2022 04:25:55",
"content": "If we already did that how are u still making the same mistakes",
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"content": "This is only a subset of the answers, do u know how to solve inequalities?",
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"content": "yeh",
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"timestamp": "08/05/2022 04:26:52",
"content": "but idk how to solve modulus inequalities",
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"content": "Solve this",
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"content": "x>= 1",
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"content": "1,2,3,4,5,6,7,8,......",
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"content": "So when x>=1, x-1>=0?",
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"content": "This is also just a subset of the answers",
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"content": ":HUH:",
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"timestamp": "08/05/2022 04:28:37",
"content": "So do you see fhat now the inside of |x-1| is positive?",
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"content": "When x>=1?",
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"content": "yeh",
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"timestamp": "08/05/2022 04:28:58",
"content": "except when x = 1",
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"content": "Do u see that the inside of |x-1| is nonnegative when x>=1?",
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"content": "yeh",
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"author_name": "idontsleepanymore",
"timestamp": "08/05/2022 04:30:23",
"content": "And does it make sense that |non negative| = non negative?",
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"content": "|0|=0 for example",
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"timestamp": "08/05/2022 04:31:02",
"content": "yeh",
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"author_name": "idontsleepanymore",
"timestamp": "08/05/2022 04:31:30",
"content": "So do u think that |x-1| when x>=1, can be written as x-1?",
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"content": "yeh",
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"timestamp": "08/05/2022 04:32:16",
"content": "What do u think will happen if x<1 for |x-1|?",
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"timestamp": "08/05/2022 04:33:00",
"content": "it will be positive",
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"content": ">0",
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"timestamp": "08/05/2022 04:33:34",
"content": "Theres a mod outside, ofc it'll be positive, but what can u write the expression as for that interval?",
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"content": "uh",
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"author_name": "Kaizoku",
"timestamp": "08/05/2022 04:34:31",
"content": "whats an interval",
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"timestamp": "08/05/2022 04:35:50",
"content": "I dont think i can give a very formal definition cuz im high school level, but i think its just a set of values",
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"timestamp": "08/05/2022 04:37:19",
"content": "inside the mod it will be x-1 < 1",
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"timestamp": "08/05/2022 04:37:49",
"content": "<1? Okay lets check",
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"timestamp": "08/05/2022 04:38:34",
"content": "yeh because x < 1 so x - 1 can't be above or equal to 1",
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"timestamp": "08/05/2022 04:39:02",
"content": "Okay its less than 1, but thats not what we're looking for",
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"timestamp": "08/05/2022 04:40:02",
"content": "The inside of |x-1| when x<1, will always be negative do u agree?",
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"content": "yeh",
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"content": "But theres a mod outside",
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"timestamp": "08/05/2022 04:40:29",
"content": "so positive",
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"timestamp": "08/05/2022 04:40:46",
"content": "So in order to make it positive|x-1| when x <1 is written as -(x-1)",
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"timestamp": "08/05/2022 04:41:28",
"content": "ok",
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"author_name": "idontsleepanymore",
"timestamp": "08/05/2022 04:42:12",
"content": "And now |x-1| is broken into two piecewise functions, do the same for the other modulus, then note the points where ur definition changes, there will be two such points, one from each mod, plot them on the number line, and u will see that there are three cases",
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"timestamp": "08/05/2022 04:42:50",
"content": "Solve each cases using appropriate definitions and then add the cases for the final answers",
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"timestamp": "08/05/2022 04:42:59",
"content": "ah ok",
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"timestamp": "08/05/2022 04:43:00",
"content": "thanks",
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"timestamp": "08/05/2022 04:46:22",
"content": ".close",
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"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 04:46:22",
"content": "Channel closed",
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}
] |
help-9
|
be42f8d0c976413ba3fe586d8052a552
|
197,640 |
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"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 04:47:23",
"content": "Available help channel!",
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{
"id": 1005037742733926500,
"author_id": 770270139454062600,
"author_name": "Vanessa",
"timestamp": "08/05/2022 05:01:10",
"content": "how to do this?",
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"timestamp": "08/05/2022 05:01:11",
"content": "Pinned a message.",
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"author_id": 220517274845577200,
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"timestamp": "08/05/2022 05:04:28",
"content": "have you solve simultaneous equations using elimination before?",
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"timestamp": "08/05/2022 05:05:58",
"content": "yes",
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"timestamp": "08/05/2022 05:07:56",
"content": "still can't find the answer",
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"timestamp": "08/05/2022 05:10:20",
"content": "well how would you solve this by elimination",
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"id": 1005040270250885100,
"author_id": 220517274845577200,
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"timestamp": "08/05/2022 05:11:13",
"content": "(if you didn't see those answer options)",
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"id": 1005041220923433000,
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"timestamp": "08/05/2022 05:14:59",
"content": "unnecessary",
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"id": 1005041306801819800,
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"timestamp": "08/05/2022 05:15:20",
"content": "also wait for op to respond",
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"id": 1005041969904488400,
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"author_name": "Vanessa",
"timestamp": "08/05/2022 05:17:58",
"content": "no I mean I can't calculate out the right one",
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"content": "wdym",
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"id": 1005042151832432600,
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"timestamp": "08/05/2022 05:18:41",
"content": "what exactly did you try to do",
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"timestamp": "08/05/2022 05:19:06",
"content": "to eliminate the variable y",
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"timestamp": "08/05/2022 05:20:32",
"content": "what did you try in an attempt to eliminate y",
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"content": "those answer options",
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"timestamp": "08/05/2022 05:25:48",
"content": "> well how would you solve this by elimination \n> (if you didn't see those answer options)",
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"timestamp": "08/05/2022 05:26:07",
"content": "and/or show what you did when testing out those answer options",
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"id": 1005047235479879800,
"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/05/2022 05:38:53",
"content": "-2x + 3x isn't -x",
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},
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"id": 1005050715510685700,
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"timestamp": "08/05/2022 05:52:43",
"content": "@Vanessa Has your question been resolved?",
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"id": 1005050747907481600,
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"timestamp": "08/05/2022 05:52:51",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
d2bc0fc145b944c7a91d729cfba6e50e
|
197,641 |
[
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"id": 1005059346356502500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 06:27:01",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1005063506283999200,
"author_id": 875152164039823500,
"author_name": "123456789g",
"timestamp": "08/05/2022 06:43:33",
"content": "help",
"attachments": [
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1005063505415770242/Screen_Shot_2022-08-04_at_6.11.20_PM.png",
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"timestamp": "08/05/2022 06:43:33",
"content": "Pinned a message.",
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"id": 1005064133324054500,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/05/2022 06:46:02",
"content": "You made the sum start at 2 for no reason. Also I don't think the power of (-1) should change",
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},
{
"id": 1005064597297971300,
"author_id": 875152164039823500,
"author_name": "123456789g",
"timestamp": "08/05/2022 06:47:53",
"content": "wait wdym",
"attachments": [],
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},
{
"id": 1005064844963221600,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "08/05/2022 06:48:52",
"content": "seems like they changed sum index and he has to notice that and consider it",
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},
{
"id": 1005064904111292400,
"author_id": 265853506664136700,
"author_name": "ScapeProf",
"timestamp": "08/05/2022 06:49:06",
"content": "so notice sum starts at n=2 not n=1",
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},
{
"id": 1005065239835975700,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/05/2022 06:50:26",
"content": "Didn't notice that's not his choice",
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},
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"id": 1005065316184891400,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/05/2022 06:50:44",
"content": "Then you need to change it to work with n starting at 2",
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},
{
"id": 1005065431465337000,
"author_id": 875152164039823500,
"author_name": "123456789g",
"timestamp": "08/05/2022 06:51:12",
"content": "hm okay",
"attachments": [],
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},
{
"id": 1005065466521338000,
"author_id": 875152164039823500,
"author_name": "123456789g",
"timestamp": "08/05/2022 06:51:20",
"content": "but idk how to do it with a 2",
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},
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"id": 1005065475442606200,
"author_id": 875152164039823500,
"author_name": "123456789g",
"timestamp": "08/05/2022 06:51:22",
"content": "can u teach me",
"attachments": [],
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},
{
"id": 1005066306736885800,
"author_id": 484702191156985860,
"author_name": "themateo713",
"timestamp": "08/05/2022 06:54:40",
"content": "Just make sure the terms are correct. It started with x - x^2/2, so now it starts with x^2 - x^3/2, so adapt the formula to match that new pattern",
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{
"id": 1005066756102029400,
"author_id": 852470857569402900,
"author_name": "Teek0505",
"timestamp": "08/05/2022 06:56:27",
"content": "I think it needs to be something like ((x)ⁿ(-1)^(n-1))/(n-1)",
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},
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"id": 1005066778684182500,
"author_id": 852470857569402900,
"author_name": "Teek0505",
"timestamp": "08/05/2022 06:56:33",
"content": "If summation starts from 2",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 07:06:22",
"content": "@123456789g Has your question been resolved?",
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"timestamp": "08/05/2022 07:21:23",
"content": "Channel closed",
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}
] |
help-9
|
e761d8395c184b32969f31ea92d0142a
|
197,642 |
[
{
"id": 1005073281025573000,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 07:22:23",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1005079973897449600,
"author_id": 842836522029678600,
"author_name": "Yeetus",
"timestamp": "08/05/2022 07:48:59",
"content": "Why do we usually take i² = -1 instead of i = √(-1). I remember my math teacher saying something about the reason behind it but I forgot",
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},
{
"id": 1005079976116236400,
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"timestamp": "08/05/2022 07:48:59",
"content": "Pinned a message.",
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{
"id": 1005080583975739400,
"author_id": 328765192173256700,
"author_name": "Addy",
"timestamp": "08/05/2022 07:51:24",
"content": "It doesn't matter in my opinion",
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"id": 1005081513043439600,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/05/2022 07:55:06",
"content": "I think its more of a subtle thing, because the squareroot is by convention a function from R^+ to R, https://math.stackexchange.com/questions/144364/is-the-square-root-of-a-negative-number-defined",
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},
{
"id": 1005081536888045600,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/05/2022 07:55:11",
"content": "if √ already denotes a function whose domain is the positive real numbers, √(-1) is meaningless",
"attachments": [],
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},
{
"id": 1005081608480624600,
"author_id": 984319941417251000,
"author_name": "💜𝓁𝒶𝓎𝓁𝒶💜",
"timestamp": "08/05/2022 07:55:28",
"content": "nonnegative real numbers*",
"attachments": [],
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},
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"id": 1005083752587874400,
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"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 08:04:00",
"content": "@Yeetus Has your question been resolved?",
"attachments": [],
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"timestamp": "08/05/2022 08:19:00",
"content": "Channel closed",
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}
] |
help-9
|
016a81740d7740b698ec1ed15c21ae85
|
197,643 |
[
{
"id": 1005089514198405100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 08:26:53",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005092336390381700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 08:38:06",
"content": "Pinned a message.",
"attachments": [],
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}
},
{
"id": 1005094062505873500,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "08/05/2022 08:44:58",
"content": "yeah but you still have some x's in the integral",
"attachments": [],
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},
{
"id": 1005094100380438700,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "08/05/2022 08:45:07",
"content": "btw it would be much easier if you subbed u=cos(x)",
"attachments": [],
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},
{
"id": 1005095218208591900,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "08/05/2022 08:49:33",
"content": "yes",
"attachments": [],
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},
{
"id": 1005095728022028300,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "08/05/2022 08:51:35",
"content": "you have the same answer",
"attachments": [],
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},
{
"id": 1005096049976815600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "08/05/2022 08:52:52",
"content": "who knows",
"attachments": [],
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},
{
"id": 1005096147439849600,
"author_id": 132304137583984640,
"author_name": "Denascite",
"timestamp": "08/05/2022 08:53:15",
"content": "it depends too much on whoever made the test",
"attachments": [],
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},
{
"id": 1005099922598678500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 09:08:15",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
e213320c1a4e4c5e9a081948ef1d004c
|
197,644 |
[
{
"id": 1005100176278564900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 09:09:15",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 1005105535353372800,
"author_id": 213073438221271040,
"author_name": "Clase",
"timestamp": "08/05/2022 09:30:33",
"content": "So I'm solving an exercise where I found out that `T^-1 = T` (The inverse of T is equal to T itself)\nI'm getting curious and wondering if this means anything at all? Is this a special type of Linear Transformation?",
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"timestamp": "08/05/2022 09:30:34",
"content": "Pinned a message.",
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{
"id": 1005105874500599900,
"author_id": 449170692760404000,
"author_name": "snoop",
"timestamp": "08/05/2022 09:31:54",
"content": "t=1?",
"attachments": [],
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},
{
"id": 1005105907056787600,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "08/05/2022 09:32:02",
"content": "No",
"attachments": [],
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},
{
"id": 1005105915059511300,
"author_id": 213073438221271040,
"author_name": "Clase",
"timestamp": "08/05/2022 09:32:04",
"content": "What?",
"attachments": [],
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},
{
"id": 1005105923792048100,
"author_id": 449170692760404000,
"author_name": "snoop",
"timestamp": "08/05/2022 09:32:06",
"content": "no wait",
"attachments": [],
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},
{
"id": 1005105928221245600,
"author_id": 449170692760404000,
"author_name": "snoop",
"timestamp": "08/05/2022 09:32:07",
"content": "+-1",
"attachments": [],
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"reference": null
},
{
"id": 1005105943098437600,
"author_id": 437166198166257660,
"author_name": "Master Oogway",
"timestamp": "08/05/2022 09:32:10",
"content": "Ues",
"attachments": [],
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},
{
"id": 1005105958890000500,
"author_id": 449170692760404000,
"author_name": "snoop",
"timestamp": "08/05/2022 09:32:14",
"content": "my bad",
"attachments": [],
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},
{
"id": 1005106033078849700,
"author_id": 449170692760404000,
"author_name": "snoop",
"timestamp": "08/05/2022 09:32:32",
"content": "t^-1 = t",
"attachments": [],
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"id": 1005106038825033700,
"author_id": 213073438221271040,
"author_name": "Clase",
"timestamp": "08/05/2022 09:32:33",
"content": "Its a Linear Transformation, you mean `T= I`? Because that's what I suspected",
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},
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"id": 1005106042734121000,
"author_id": 449170692760404000,
"author_name": "snoop",
"timestamp": "08/05/2022 09:32:34",
"content": "1/t = t",
"attachments": [],
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},
{
"id": 1005106053215695000,
"author_id": 449170692760404000,
"author_name": "snoop",
"timestamp": "08/05/2022 09:32:37",
"content": "t^2 = 1",
"attachments": [],
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},
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"id": 1005106065274327000,
"author_id": 449170692760404000,
"author_name": "snoop",
"timestamp": "08/05/2022 09:32:39",
"content": "t = +-1",
"attachments": [],
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},
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"id": 1005106140255887500,
"author_id": 213073438221271040,
"author_name": "Clase",
"timestamp": "08/05/2022 09:32:57",
"content": "Right so `T = +/- I`?",
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"id": 1005106161088999600,
"author_id": 449170692760404000,
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"timestamp": "08/05/2022 09:33:02",
"content": "correct",
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"id": 1005106209965211600,
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"author_name": "snoop",
"timestamp": "08/05/2022 09:33:14",
"content": "wait",
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"id": 1005106283357151200,
"author_id": 213073438221271040,
"author_name": "Clase",
"timestamp": "08/05/2022 09:33:31",
"content": "Hm?",
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"id": 1005106334234062800,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/05/2022 09:33:44",
"content": "Wel we have T = T inverse",
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"author_name": "snoop",
"timestamp": "08/05/2022 09:33:49",
"content": "is that 1 or are you from Rome",
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"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/05/2022 09:33:57",
"content": "that is the identity matrix",
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"author_id": 213073438221271040,
"author_name": "Clase",
"timestamp": "08/05/2022 09:34:01",
"content": "Mhm",
"attachments": [],
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"id": 1005106422821957600,
"author_id": 449170692760404000,
"author_name": "snoop",
"timestamp": "08/05/2022 09:34:05",
"content": "yeahh no i am not familliar",
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"id": 1005106450047189000,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/05/2022 09:34:11",
"content": "apply T to the right for both sides",
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},
{
"id": 1005106654011994200,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/05/2022 09:35:00",
"content": "so T applied to itself results in the identity matrix",
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"id": 1005106913379369000,
"author_id": 213073438221271040,
"author_name": "Clase",
"timestamp": "08/05/2022 09:36:02",
"content": "Right, so I was given `T^2 = I`\nI just figured that\n`T * T = T^2` (Det(T^2) != 0) ->\n`Det(T) != 0` ->\n`T is inversable(is that the word?)`\n`T * T^-1 = I = T^2`\n`T * T^-1 = T * T`\n`T = T^-1`\nSo now I can say that `T` is either `T = I` or `T = -I`?",
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"author_name": "Tarek Ahmed",
"timestamp": "08/05/2022 09:36:24",
"content": "invertible you mean?",
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"timestamp": "08/05/2022 09:36:31",
"content": "Right, yeah",
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{
"id": 1005107107156201600,
"author_id": 213073438221271040,
"author_name": "Clase",
"timestamp": "08/05/2022 09:36:48",
"content": "Would this qualify as proof? The question is supposed to be really hard.",
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"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/05/2022 09:39:52",
"content": "There is a name for matrices which satisfy T^2 = I",
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"id": 1005107948936241300,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/05/2022 09:40:09",
"content": "Involutory matrices",
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"author_name": "Tarek Ahmed",
"timestamp": "08/05/2022 09:40:19",
"content": "but actually there are more solutions than just I or -I",
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"content": "Oh, the more you know",
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"content": "Right, it did seem a tad bit too simple",
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"timestamp": "08/05/2022 09:41:15",
"content": "Oh well. Guess I'll try something else then. Thank you",
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"id": 1005108296774066200,
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"timestamp": "08/05/2022 09:41:31",
"content": ".close",
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{
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"content": "Channel closed",
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] |
help-9
|
897c5e12001b4609a991054bf6b1d983
|
197,645 |
[
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"timestamp": "08/05/2022 09:42:32",
"content": "Available help channel!",
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},
{
"id": 1005110513312727000,
"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "08/05/2022 09:50:20",
"content": "why does 0/-1 exist?",
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"content": "Pinned a message.",
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"author_id": 801338293241118700,
"author_name": "Atomic",
"timestamp": "08/05/2022 09:51:02",
"content": "0/n = exist?\nn/0 = no exist?",
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"id": 1005110893077594100,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/05/2022 09:51:50",
"content": "Yes, because 0 divided by anything is 0",
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"id": 1005110960090009700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/05/2022 09:52:06",
"content": "And anything divided by 0 is undefined",
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"author_name": "Atomic",
"timestamp": "08/05/2022 09:52:29",
"content": "ow thats a rule?",
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"id": 1005111119846850600,
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"author_name": "Atomic",
"timestamp": "08/05/2022 09:52:45",
"content": "oh okay thanks",
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"author_name": "Atomic",
"timestamp": "08/05/2022 09:52:58",
"content": ".close",
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"content": "Channel closed",
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}
] |
help-9
|
3e69a3a181ab40599d37ec2672e10f88
|
197,646 |
[
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"content": "Available help channel!",
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"author_id": 933761459551342600,
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"timestamp": "08/05/2022 10:07:48",
"content": "Guys please can someone explain this one to me? I'm confused.",
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"id": 1005115342919573500,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "08/05/2022 10:09:31",
"content": "do brackets first",
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"timestamp": "08/05/2022 10:09:38",
"content": "So is it 23",
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"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "08/05/2022 10:09:47",
"content": "and then do multiplication and division second",
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"author_name": "Ben117",
"timestamp": "08/05/2022 10:10:50",
"content": "So would it be 3 - 7 - 5 + 2 + 12 -3 + 20?",
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"id": 1005116257059733600,
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"timestamp": "08/05/2022 10:13:09",
"content": "no",
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"author_id": 220517274845577200,
"author_name": "ramonov",
"timestamp": "08/05/2022 10:13:28",
"content": "the product of 3 and -7 is implied with\n3(-7)",
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"author_name": "Ben117",
"timestamp": "08/05/2022 10:15:00",
"content": "Sorry Ramonov I'm an adult learner and kind of struggling. So what do I do with the 3 and (-7)?",
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"id": 1005116799009951900,
"author_id": 483962566977126400,
"author_name": "MarveI",
"timestamp": "08/05/2022 10:15:19",
"content": "3(-7) is 3 * -7",
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"id": 1005116891695693800,
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"author_name": "MarveI",
"timestamp": "08/05/2022 10:15:41",
"content": "if there is a bracket and there is no addition/subtraction/division sign",
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"timestamp": "08/05/2022 10:15:45",
"content": "it's multiplication by default",
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"author_name": "Ben117",
"timestamp": "08/05/2022 10:16:03",
"content": "Ohhhhh I was under the impression that you had to have two brackets sorry guys",
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"timestamp": "08/05/2022 10:16:26",
"content": "I.e. (3)(-7) for multiplication",
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"id": 1005117092640596000,
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"author_name": "Ben117",
"timestamp": "08/05/2022 10:16:29",
"content": "Thank you",
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"id": 1005117112026681500,
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"author_name": "Ben117",
"timestamp": "08/05/2022 10:16:33",
"content": "Let me try again now",
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"timestamp": "08/05/2022 10:16:37",
"content": "ok",
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"timestamp": "08/05/2022 10:18:50",
"content": "So would the answer be 3?",
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"id": 1005119120590786600,
"author_id": 251063856032382980,
"author_name": "Diesel",
"timestamp": "08/05/2022 10:24:32",
"content": "Seems right",
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"timestamp": "08/05/2022 10:30:57",
"content": ".close",
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}
] |
help-9
|
42b261a9f2494ee18329e5b898e848b1
|
197,647 |
[
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"id": 1005122989848809600,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/05/2022 10:39:55",
"content": "Outside for (random) triangle ABC, two squares are made on sides AB and BC, if M is the middle of side AC, find angle O1O2M",
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"id": 1005123020580454500,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/05/2022 10:40:02",
"content": "I just have absolutely NO clue how to solve this",
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"id": 1005123099353698400,
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"timestamp": "08/05/2022 10:40:21",
"content": "Previously I've worked with cyclic theorems and stuff",
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"id": 1005123124729217200,
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"timestamp": "08/05/2022 10:40:27",
"content": "but now I don't even have angles",
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"id": 1005123134342578200,
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"author_name": "lacertae",
"timestamp": "08/05/2022 10:40:29",
"content": "nor anything to work with",
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"timestamp": "08/05/2022 10:42:07",
"content": "only thing that comes to my mind is that segment MO2 is a middle segment",
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"id": 1005123761277780100,
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"timestamp": "08/05/2022 10:42:58",
"content": "in a parallelogram",
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"author_name": "lacertae",
"timestamp": "08/05/2022 10:43:07",
"content": "CC1 || AB perhaps",
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{
"id": 1005123836062216300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/05/2022 10:43:16",
"content": "CC1 is not parallel to AB",
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"id": 1005123869620850800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/05/2022 10:43:24",
"content": "but you do have some angles",
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"timestamp": "08/05/2022 10:43:26",
"content": "yeah idek either",
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"id": 1005123912184647700,
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"timestamp": "08/05/2022 10:43:34",
"content": "the angles in triangle ABC are 60° each",
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"id": 1005123942618513500,
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"author_name": "lacertae",
"timestamp": "08/05/2022 10:43:42",
"content": "no they are not",
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"author_name": "lacertae",
"timestamp": "08/05/2022 10:43:47",
"content": "this is just done via paint",
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"id": 1005123985207464000,
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"author_name": "lacertae",
"timestamp": "08/05/2022 10:43:52",
"content": "you have no angles in the triangle",
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"id": 1005124003809210500,
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"author_name": "Ann",
"timestamp": "08/05/2022 10:43:56",
"content": "oh, so this is a random triangle",
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"id": 1005124013888122900,
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"timestamp": "08/05/2022 10:43:59",
"content": "yup",
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"id": 1005124021781790700,
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"author_name": "Ann",
"timestamp": "08/05/2022 10:44:01",
"content": "well",
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},
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"id": 1005124040345784400,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/05/2022 10:44:05",
"content": "not strictly speaking",
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},
{
"id": 1005124047299952600,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/05/2022 10:44:07",
"content": "but ok",
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},
{
"id": 1005124072511901800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/05/2022 10:44:13",
"content": "it's unknown what the measurements are",
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},
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"id": 1005124269145075800,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/05/2022 10:45:00",
"content": "the very last topic for this kind of problem was rotation",
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},
{
"id": 1005124301869039700,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/05/2022 10:45:07",
"content": "but then you'd have some angles",
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"id": 1005124392252096500,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/05/2022 10:45:29",
"content": "but here's just... eugh",
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},
{
"id": 1005124409826222100,
"author_id": 220196846922891260,
"author_name": "Lance",
"timestamp": "08/05/2022 10:45:33",
"content": "ABC is a random triangle but O1O2M should be a fixed angle?",
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},
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"id": 1005124450494197900,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/05/2022 10:45:43",
"content": "wdym by fixed?",
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"author_name": "Lance",
"timestamp": "08/05/2022 10:45:56",
"content": "as in, independent from the angles in triangle ABC",
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},
{
"id": 1005124530416664600,
"author_id": 220196846922891260,
"author_name": "Lance",
"timestamp": "08/05/2022 10:46:02",
"content": "is that given or not",
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},
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"id": 1005124596200116400,
"author_id": 220196846922891260,
"author_name": "Lance",
"timestamp": "08/05/2022 10:46:18",
"content": "or just express in terms of ABC,BCA,CAB",
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},
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"id": 1005124618950021200,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/05/2022 10:46:23",
"content": "the problem says only find angle O1O2M, everything else is up there",
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},
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"id": 1005124630366920800,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/05/2022 10:46:26",
"content": "nothing else",
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"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/05/2022 10:46:26",
"content": ":c",
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"id": 1005124666337271800,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/05/2022 10:46:34",
"content": "two squares",
"attachments": [],
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},
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"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/05/2022 10:46:36",
"content": "go figure",
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"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/05/2022 10:47:18",
"content": "should be 45 degrees as the answer states, but how tf do I get there",
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},
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"id": 1005125093036392600,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/05/2022 10:48:16",
"content": "I can't even put a circle anywhere, I can't find two corresponding angles which sum equals 180 degrees",
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},
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"id": 1005125118634229800,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/05/2022 10:48:22",
"content": "boutta give up on this",
"attachments": [],
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},
{
"id": 1005125120433590300,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/05/2022 10:48:23",
"content": "45 degrees? that sounds wrong.",
"attachments": [],
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},
{
"id": 1005125150670336000,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/05/2022 10:48:30",
"content": "but also are you allowed to use complex numbers",
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},
{
"id": 1005125189719302300,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/05/2022 10:48:39",
"content": "nope",
"attachments": [],
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},
{
"id": 1005125205783494800,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/05/2022 10:48:43",
"content": "rip",
"attachments": [],
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},
{
"id": 1005125224498470900,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/05/2022 10:48:47",
"content": "I'm crying from the inside",
"attachments": [],
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},
{
"id": 1005125297823305900,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/05/2022 10:49:05",
"content": "this is the very last problem from which an A is dependent",
"attachments": [],
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},
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"id": 1005125776540180600,
"author_id": 220196846922891260,
"author_name": "Lance",
"timestamp": "08/05/2022 10:50:59",
"content": ":NanaThink: i'll take a look at it",
"attachments": [],
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},
{
"id": 1005126504331628700,
"author_id": 551500773972770800,
"author_name": "DottedCalculator",
"timestamp": "08/05/2022 10:53:52",
"content": "O2MO1 is the average of C1CB and BAA1 so it is similar to both triangles",
"attachments": [],
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},
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"id": 1005126565841084500,
"author_id": 551500773972770800,
"author_name": "DottedCalculator",
"timestamp": "08/05/2022 10:54:07",
"content": "which means the angle is 45",
"attachments": [],
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},
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"id": 1005126614876704900,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/05/2022 10:54:19",
"content": "only thing that comes to my mind is that, because M is the middle of AC, and O2 is the middle of the diagonal in the square, then could this make AB || CC1 if C1 is on the other end of the upper angle",
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"id": 1005126832892416000,
"author_id": 923268887909384200,
"author_name": "lacertae",
"timestamp": "08/05/2022 10:55:11",
"content": "wdym?",
"attachments": [],
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"id": 1005127309600247900,
"author_id": 220196846922891260,
"author_name": "Lance",
"timestamp": "08/05/2022 10:57:04",
"content": "omg that's so good",
"attachments": [],
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},
{
"id": 1005127325949632500,
"author_id": 220196846922891260,
"author_name": "Lance",
"timestamp": "08/05/2022 10:57:08",
"content": "nice",
"attachments": [],
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},
{
"id": 1005127646922936400,
"author_id": 220196846922891260,
"author_name": "Lance",
"timestamp": "08/05/2022 10:58:25",
"content": "if you take corresponding points on C1CB and BAA1 then the midpoint lies on O2MO1",
"attachments": [],
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},
{
"id": 1005127676614430700,
"author_id": 220196846922891260,
"author_name": "Lance",
"timestamp": "08/05/2022 10:58:32",
"content": "so all three triangles are similar",
"attachments": [],
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},
{
"id": 1005127692569550800,
"author_id": 220196846922891260,
"author_name": "Lance",
"timestamp": "08/05/2022 10:58:36",
"content": "amazing :D",
"attachments": [],
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},
{
"id": 1005130611498963100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 11:10:12",
"content": "@lacertae Has your question been resolved?",
"attachments": [],
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"author_name": "lacertae",
"timestamp": "08/05/2022 11:11:32",
"content": "well I mean I guess it's answered, but I don't understand",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 11:41:33",
"content": "@lacertae Has your question been resolved?",
"attachments": [],
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"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 11:48:52",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
2cf0c6edab8e4ec9a5968ebc391a7c07
|
197,648 |
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{
"id": 959576497859993700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 18:14:25",
"content": "Available help channel!",
"attachments": [],
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},
{
"id": 959586892645535700,
"author_id": 722095458432057300,
"author_name": "Ok",
"timestamp": "04/01/2022 18:55:43",
"content": "Can someone help me",
"attachments": [
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},
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"id": 959586895724167200,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 18:55:44",
"content": "Pinned a message.",
"attachments": [],
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"author_id": 801848896509837300,
"author_name": "Gloomy Lecherous wallflower",
"timestamp": "04/01/2022 19:02:04",
"content": "Yes",
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},
{
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"author_id": 801848896509837300,
"author_name": "Gloomy Lecherous wallflower",
"timestamp": "04/01/2022 19:02:20",
"content": "Do you know what that limit sign is asking?",
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},
{
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"author_id": 801848896509837300,
"author_name": "Gloomy Lecherous wallflower",
"timestamp": "04/01/2022 19:02:24",
"content": "@Ok",
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"author_name": "Ok",
"timestamp": "04/01/2022 19:04:54",
"content": "No\nCould you explain please",
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"id": 959589968110583800,
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"author_name": "hiromichi",
"timestamp": "04/01/2022 19:07:56",
"content": "It means what point is the function approaching from the right side",
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},
{
"id": 959590042282655700,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "04/01/2022 19:08:14",
"content": "As you can see, all of these functions are undefined at 0",
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},
{
"id": 959590167499403400,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "04/01/2022 19:08:44",
"content": "Because $0^0 is undefined$",
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},
{
"id": 959590177192423600,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/01/2022 19:08:46",
"content": "**Taka**",
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"id": 959590266078130200,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "04/01/2022 19:09:07",
"content": "So basically we need to see what these function approach as x approaches 0",
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},
{
"id": 959590303600357500,
"author_id": 872859024985587800,
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"timestamp": "04/01/2022 19:09:16",
"content": "But from the right side only",
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},
{
"id": 959590324748038100,
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"author_name": "hiromichi",
"timestamp": "04/01/2022 19:09:21",
"content": "Let's start with the first one",
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},
{
"id": 959590350241013800,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "04/01/2022 19:09:27",
"content": "X^0",
"attachments": [],
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},
{
"id": 959590371753607200,
"author_id": 872859024985587800,
"author_name": "hiromichi",
"timestamp": "04/01/2022 19:09:32",
"content": "Any idea what to do?",
"attachments": [],
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},
{
"id": 959592589282148500,
"author_id": 722095458432057300,
"author_name": "Ok",
"timestamp": "04/01/2022 19:18:21",
"content": "What about derivative of x",
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},
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"author_name": "dk.dkn",
"timestamp": "04/01/2022 19:18:21",
"content": "You know what a limit is?",
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"timestamp": "04/01/2022 19:18:33",
"content": "Yes i know",
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"author_name": "dk.dkn",
"timestamp": "04/01/2022 19:19:26",
"content": "Okay so what do you know about X^0",
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"id": 959592944929738800,
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"author_name": "Ok",
"timestamp": "04/01/2022 19:19:46",
"content": "Undefined",
"attachments": [],
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"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "04/01/2022 19:19:56",
"content": "Really?",
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{
"id": 959593010537066600,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "04/01/2022 19:20:02",
"content": "Is 2^0 undefined?",
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"id": 959593557121978400,
"author_id": 722095458432057300,
"author_name": "Ok",
"timestamp": "04/01/2022 19:22:12",
"content": "Oh sorry it 's 0 \nIi think we should learn about the sign of x in \n- infinity, 0 \nAnd \n0 , + infinity",
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"id": 959593834478702600,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "04/01/2022 19:23:18",
"content": "2^0 = 0?",
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"id": 959594066058838000,
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"author_name": "Ok",
"timestamp": "04/01/2022 19:24:13",
"content": "Now i mean 0^0",
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"timestamp": "04/01/2022 19:24:36",
"content": "Is undefined",
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"id": 959594192756170800,
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"author_name": "dk.dkn",
"timestamp": "04/01/2022 19:24:43",
"content": "Okay",
"attachments": [],
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},
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"id": 959594251925201000,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "04/01/2022 19:24:58",
"content": "But what is x^0, for general x",
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"author_name": "Gloomy Lecherous wallflower",
"timestamp": "04/01/2022 19:25:34",
"content": "||But what is x^0, for nonzero x||",
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"id": 959594493882040300,
"author_id": 722095458432057300,
"author_name": "Ok",
"timestamp": "04/01/2022 19:25:55",
"content": "It's 1",
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},
{
"id": 959594519106576400,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "04/01/2022 19:26:01",
"content": "Right",
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},
{
"id": 959594629727129600,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "04/01/2022 19:26:28",
"content": "So the limit as x goes to 0 from the positive direction, but never actually reaches 0, is…?",
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"id": 959594725432754200,
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"author_name": "Ok",
"timestamp": "04/01/2022 19:26:50",
"content": "1",
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"id": 959594744089030800,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "04/01/2022 19:26:55",
"content": "Yes",
"attachments": [],
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},
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"id": 959594795200835600,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "04/01/2022 19:27:07",
"content": "Try to apply the same logic to part b now",
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},
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"id": 959595217521094800,
"author_id": 722095458432057300,
"author_name": "Ok",
"timestamp": "04/01/2022 19:28:48",
"content": "I think \n0 \n?",
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"author_name": "dk.dkn",
"timestamp": "04/01/2022 19:29:24",
"content": "Yes",
"attachments": [],
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},
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"id": 959595467417747500,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "04/01/2022 19:29:47",
"content": "Now for the last part",
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"id": 959595485797183600,
"author_id": 884904554037141600,
"author_name": "dk.dkn",
"timestamp": "04/01/2022 19:29:52",
"content": "Do you have any ideas?",
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"id": 959595669004357600,
"author_id": 722095458432057300,
"author_name": "Ok",
"timestamp": "04/01/2022 19:30:35",
"content": "I think + infinity",
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"id": 959595978044895200,
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"author_name": "dk.dkn",
"timestamp": "04/01/2022 19:31:49",
"content": "As x goes to 0?",
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"id": 959596788304728000,
"author_id": 722095458432057300,
"author_name": "Ok",
"timestamp": "04/01/2022 19:35:02",
"content": "No",
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"id": 959596940864151600,
"author_id": 748423012386340900,
"author_name": "honk",
"timestamp": "04/01/2022 19:35:39",
"content": "it is?",
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"timestamp": "04/01/2022 19:35:44",
"content": "i'm pretty sure it's 1",
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"timestamp": "04/01/2022 19:35:59",
"content": "Pls no",
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"content": "It’s kinda contextual",
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"content": "Maths is subjective",
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"content": "No general clear answer",
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"author_name": "honk",
"timestamp": "04/01/2022 19:36:40",
"content": "in what context is it not 1",
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"timestamp": "04/01/2022 19:36:41",
"content": "Hmm?",
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"timestamp": "04/01/2022 19:36:59",
"content": "What's your prove that 0^0 is 1?",
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"content": "calculator",
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"timestamp": "04/01/2022 19:37:11",
"content": "and desmos",
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"timestamp": "04/01/2022 19:37:19",
"content": "and anything to the power of 0 is 1",
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"content": "Desmos treats it as 0 because it is more mathematically convenient",
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"timestamp": "04/01/2022 19:37:45",
"content": "And conversely, 0 to anything is 0",
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"timestamp": "04/01/2022 19:37:47",
"content": "So?",
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"content": "what",
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"content": "0^0=1 satisfies many known formulas and therefore it is treated as 1",
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"timestamp": "04/01/2022 19:38:38",
"content": "Like the binomial theorem",
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"timestamp": "04/01/2022 19:38:55",
"content": "oh it says both",
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"content": "i'm confused but ok",
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"timestamp": "04/01/2022 19:39:03",
"content": "Yeah it's contextual",
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"content": "We sometimes like to let 0^0 be undefined to make exponentiation continuous",
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"timestamp": "04/01/2022 19:39:29",
"content": "But for counting it’s often nice to have it as 1",
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"timestamp": "04/01/2022 19:39:45",
"content": "Yeah, especially in summations and products",
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"content": "Yeah",
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"content": "Ig we can say it’s indeterminate",
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"timestamp": "04/01/2022 19:42:50",
"content": "Anyway, you can approach it in a few ways, I think the best way is to write $x^x = e^{xln{x}}$",
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"timestamp": "04/01/2022 19:42:53",
"content": "**dk.dkn**",
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"timestamp": "04/01/2022 19:46:20",
"content": "Thank you and also you @Gloomy Lecherous wallflower",
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"content": "Np",
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"content": "👍..",
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"content": "@Ok Has your question been resolved?",
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"content": "Channel closed",
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] |
help-9
|
45d44d540ae44d538350353ea2547603
|
197,649 |
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"content": "yea",
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"content": "For the limit to still be zero, it is sufficient that (log n)^t / n < 1 for n large enough",
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"content": "which is implied by a well known limit: since (log n)^t / n -> 0 for any t, it has to be < 1 for n large enough",
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help-9
|
3ecaf8045d644a8a8589e39e835c4aae
|
197,650 |
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"content": "x tends to 0- is just infinity so not defined I guess. And x tends to zero+ is 3",
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"timestamp": "08/05/2022 13:34:55",
"content": "but how do I evaluate that",
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"content": "Like idk what im solving",
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"content": "Have you learnt limits?",
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"timestamp": "08/05/2022 13:35:34",
"content": "Yes but its not my strenght",
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"author_name": "сергей Александр",
"timestamp": "08/05/2022 13:35:48",
"content": "hello could you help me with a homework I have a doubt",
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"content": "So when x tends to 0-",
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"content": "hello could you help me with a homework I have a doubt",
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"content": "Go to #help-8",
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"timestamp": "08/05/2022 13:36:22",
"content": "So, when x tends to zero-",
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"timestamp": "08/05/2022 13:36:28",
"content": "We write x as 0-h",
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"timestamp": "08/05/2022 13:36:36",
"content": "I believe you've studied this right?",
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"timestamp": "08/05/2022 13:36:40",
"content": "Yes",
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"timestamp": "08/05/2022 13:37:25",
"content": "So left hand limit just becomes limit h tends to 0+ 1/h",
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"timestamp": "08/05/2022 13:37:27",
"content": "So would i write f(h-0) =",
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"content": "No no.",
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"content": "could u use the bot to explain pls",
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"content": "0-h",
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"content": "Idk how to use latex",
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"timestamp": "08/05/2022 13:37:55",
"content": "Oh okay",
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"timestamp": "08/05/2022 13:37:58",
"content": "Sorry",
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"content": "wait so",
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"id": 1005167816602828800,
"author_id": 843838098516344800,
"author_name": "Deleted User",
"timestamp": "08/05/2022 13:38:02",
"content": "f(0-h)",
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},
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"id": 1005167853441388500,
"author_id": 852470857569402900,
"author_name": "Teek0505",
"timestamp": "08/05/2022 13:38:11",
"content": "Yea where h is positive",
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},
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"id": 1005167875205627900,
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"author_name": "Teek0505",
"timestamp": "08/05/2022 13:38:16",
"content": "And it also tends to zero",
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"id": 1005167921057775600,
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"author_name": "Teek0505",
"timestamp": "08/05/2022 13:38:27",
"content": "f(0-h) is just -1/(0-h)",
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"id": 1005167957527244900,
"author_id": 843838098516344800,
"author_name": "Deleted User",
"timestamp": "08/05/2022 13:38:36",
"content": "Oh",
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{
"id": 1005167977655701600,
"author_id": 843838098516344800,
"author_name": "Deleted User",
"timestamp": "08/05/2022 13:38:40",
"content": "so what do i write then?",
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"id": 1005168080739127300,
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"author_name": "Teek0505",
"timestamp": "08/05/2022 13:39:05",
"content": "1/(something very 🤏)",
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"timestamp": "08/05/2022 13:39:14",
"content": "Tends to infinity",
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"author_name": "Deleted User",
"timestamp": "08/05/2022 13:39:38",
"content": "im sorry i dont understand, math is like my weakest subject",
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"id": 1005168264734838900,
"author_id": 843838098516344800,
"author_name": "Deleted User",
"timestamp": "08/05/2022 13:39:49",
"content": "and i only have 20 mins to solve this too thats why",
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"author_name": "Teek0505",
"timestamp": "08/05/2022 13:40:17",
"content": "I think you should tag helpers then",
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"author_name": "Teek0505",
"timestamp": "08/05/2022 13:40:24",
"content": "They are way better at explaining things",
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"author_name": "Deleted User",
"timestamp": "08/05/2022 13:40:27",
"content": "@Helpers",
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"id": 1005168430065913900,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/05/2022 13:40:28",
"content": "Why 20 minutes?",
"attachments": [],
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"id": 1005168486408003800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/05/2022 13:40:42",
"content": "Is it a test or something?",
"attachments": [],
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},
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"id": 1005168499490050000,
"author_id": 843838098516344800,
"author_name": "Deleted User",
"timestamp": "08/05/2022 13:40:45",
"content": "because this is a homework question and I didn't understand it",
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"id": 1005168553529458700,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/05/2022 13:40:58",
"content": "But why is there a time limit?",
"attachments": [],
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},
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"id": 1005168563356709000,
"author_id": 843838098516344800,
"author_name": "Deleted User",
"timestamp": "08/05/2022 13:41:00",
"content": "so the teacher gave me a slight extension",
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"id": 1005168613268934700,
"author_id": 843838098516344800,
"author_name": "Deleted User",
"timestamp": "08/05/2022 13:41:12",
"content": "it was due yesterday for homework",
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"author_id": 843838098516344800,
"author_name": "Deleted User",
"timestamp": "08/05/2022 13:41:18",
"content": "but i didn't understand it",
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{
"id": 1005168652846379100,
"author_id": 843838098516344800,
"author_name": "Deleted User",
"timestamp": "08/05/2022 13:41:21",
"content": "and I have class at around 2",
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},
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"id": 1005168675231379600,
"author_id": 843838098516344800,
"author_name": "Deleted User",
"timestamp": "08/05/2022 13:41:27",
"content": "so i have to show her again",
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"id": 1005168710400626700,
"author_id": 994286722357674100,
"author_name": "Twerkingbee",
"timestamp": "08/05/2022 13:41:35",
"content": ":sus: :sus: :sus: :sus: :sus:",
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"author_name": "Deleted User",
"timestamp": "08/05/2022 13:41:43",
"content": "she gave me extra time to understand it",
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"id": 1005169168196317300,
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"author_name": "dldh06",
"timestamp": "08/05/2022 13:43:24",
"content": "For $\\lim_{x \\to 0+} f(x)$, which piecewise part should you use?",
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"author_name": "TeXit",
"timestamp": "08/05/2022 13:43:27",
"content": "**dldh06**",
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"author_name": "Deleted User",
"timestamp": "08/05/2022 13:43:43",
"content": "I am not sure",
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"id": 1005169343602106400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/05/2022 13:44:06",
"content": "The function -1/x, x <0\n3, 0 <= x < 1\nor sqrt(x) + 2, x >= 1?",
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"id": 1005169385142485000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/05/2022 13:44:16",
"content": "Which one for 0+?",
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"id": 1005169445716627600,
"author_id": 843838098516344800,
"author_name": "Deleted User",
"timestamp": "08/05/2022 13:44:31",
"content": "second one?",
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},
{
"id": 1005169465249517600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/05/2022 13:44:35",
"content": "Why?",
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{
"id": 1005169489068966000,
"author_id": 843838098516344800,
"author_name": "Deleted User",
"timestamp": "08/05/2022 13:44:41",
"content": "Wait no",
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},
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"id": 1005169493934342100,
"author_id": 843838098516344800,
"author_name": "Deleted User",
"timestamp": "08/05/2022 13:44:42",
"content": "first one",
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},
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"id": 1005169506005565600,
"author_id": 843838098516344800,
"author_name": "Deleted User",
"timestamp": "08/05/2022 13:44:45",
"content": "because x < 0",
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},
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"id": 1005169551350169700,
"author_id": 843838098516344800,
"author_name": "Deleted User",
"timestamp": "08/05/2022 13:44:56",
"content": "and the lim is 0+",
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},
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"id": 1005169723442462800,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/05/2022 13:45:37",
"content": "0+ means numbers approaching 0 from the right side",
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},
{
"id": 1005169838366396500,
"author_id": 843838098516344800,
"author_name": "Deleted User",
"timestamp": "08/05/2022 13:46:04",
"content": "Oh so then last one?",
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"id": 1005169845656109000,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/05/2022 13:46:06",
"content": "https://www.youtube.com/watch?v=NzL1kg1QTMU&ab_channel=BrianMcLogan",
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},
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"id": 1005169871040037000,
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"author_name": "dldh06",
"timestamp": "08/05/2022 13:46:12",
"content": "Here, you should just watch that",
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},
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"id": 1005170002128801900,
"author_id": 843838098516344800,
"author_name": "Deleted User",
"timestamp": "08/05/2022 13:46:43",
"content": "ok",
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},
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"id": 1005170760702247000,
"author_id": 843838098516344800,
"author_name": "Deleted User",
"timestamp": "08/05/2022 13:49:44",
"content": "im watching it but im so lost",
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},
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"id": 1005171064264982700,
"author_id": 843838098516344800,
"author_name": "Deleted User",
"timestamp": "08/05/2022 13:50:56",
"content": "@Helpers",
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"id": 1005172334056972400,
"author_id": 843838098516344800,
"author_name": "Deleted User",
"timestamp": "08/05/2022 13:55:59",
"content": ".close",
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},
{
"id": 1005172335877296300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 13:56:00",
"content": "Channel closed",
"attachments": [],
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}
] |
help-9
|
c9e909c4c6724cb4a1fdc82eb2ad9096
|
197,651 |
[
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"id": 1005172589364256900,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 13:57:00",
"content": "Available help channel!",
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"reference": null
},
{
"id": 1005176729335234700,
"author_id": 622944379073593300,
"author_name": "Nader",
"timestamp": "08/05/2022 14:13:27",
"content": "Why is the solution found with differentiating tan and not cos?",
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"content": "Pinned a message.",
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"id": 1005180464639778800,
"author_id": 622944379073593300,
"author_name": "Nader",
"timestamp": "08/05/2022 14:28:18",
"content": "@Helpers",
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},
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"id": 1005181804065595400,
"author_id": 209300311091838980,
"author_name": "Peacemaker II",
"timestamp": "08/05/2022 14:33:37",
"content": "I mean you could probably make an equation with cos",
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"timestamp": "08/05/2022 14:33:49",
"content": "which would be an alternate solution",
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"author_id": 805217272087838700,
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"timestamp": "08/05/2022 14:43:18",
"content": "@Nader Has your question been resolved?",
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"timestamp": "08/05/2022 14:44:25",
"content": "I still get a different answer though.",
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"id": 1005184674781462500,
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"timestamp": "08/05/2022 14:45:01",
"content": "-0.075 instead of -0.02",
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"id": 1005185848473571300,
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"timestamp": "08/05/2022 14:49:41",
"content": "@Helpers",
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},
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"id": 1005187167380844500,
"author_id": 772659291458895900,
"author_name": "JellyShark",
"timestamp": "08/05/2022 14:54:56",
"content": "let y be hypotenuse, $\\frac{dycosθ}{dt}=3,\\ sinθ=\\frac{40}{y}$ and the goal is to find $\\frac{dθ}{dt}$",
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"id": 1005187251954782300,
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"timestamp": "08/05/2022 14:55:16",
"content": "**JellyShark**",
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"timestamp": "08/05/2022 15:13:32",
"content": "(Complete solution, read it only when you have no idea",
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"timestamp": "08/05/2022 15:19:30",
"content": ".close",
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"id": 1005193352033095800,
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"timestamp": "08/05/2022 15:19:30",
"content": "Channel closed",
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}
] |
help-9
|
65a05e4234094d0682b38173e0ffe316
|
197,652 |
[
{
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 15:38:36",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1005198710340325500,
"author_id": 730443144302428200,
"author_name": "Percy Potter",
"timestamp": "08/05/2022 15:40:48",
"content": "",
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"content": "Pinned a message.",
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"id": 1005198932902695000,
"author_id": 730443144302428200,
"author_name": "Percy Potter",
"timestamp": "08/05/2022 15:41:41",
"content": "it says here they are independent, should i still use the P(AnB) = P(A) * P(B)?",
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"id": 1005199039987462100,
"author_id": 730443144302428200,
"author_name": "Percy Potter",
"timestamp": "08/05/2022 15:42:06",
"content": "im confused bc it also says or, as if I should use P(AuB)",
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},
{
"id": 1005199668948500600,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/05/2022 15:44:36",
"content": "If they're independent, then it is P(A) * P(B)",
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},
{
"id": 1005200028706558100,
"author_id": 730443144302428200,
"author_name": "Percy Potter",
"timestamp": "08/05/2022 15:46:02",
"content": "but how would P(AnB) make sense, if it says odds for A or B?",
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},
{
"id": 1005201279628357600,
"author_id": 764959481070616600,
"author_name": "Toby",
"timestamp": "08/05/2022 15:51:00",
"content": "\"and\" is $(A\\cap B)$ because you want both events to happen (the intersection of the venn diagram). \"or\" is $P(A\\cup B)=P(A)+P(B)-P(A\\cap B)$ because either events need to happen (the union).",
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},
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"id": 1005201292639092700,
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"author_name": "TeXit",
"timestamp": "08/05/2022 15:51:03",
"content": "**Toby**",
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"timestamp": "08/05/2022 15:52:07",
"content": "would this be union since it's prime or G?",
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"id": 1005201607274807400,
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"timestamp": "08/05/2022 15:52:18",
"content": "yes",
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"author_name": "Percy Potter",
"timestamp": "08/05/2022 15:52:34",
"content": "then i cant use P(A) * P(B) then right?",
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"timestamp": "08/05/2022 15:52:51",
"content": "bc its P(AnB) = ^",
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"author_name": "Percy Potter",
"timestamp": "08/05/2022 15:52:58",
"content": "and this question is union",
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"timestamp": "08/05/2022 15:53:00",
"content": "well you still need to use that, but there are other terms to consider as well",
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"timestamp": "08/05/2022 15:53:27",
"content": "oh",
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"timestamp": "08/05/2022 15:53:29",
"content": "like what?",
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"author_name": "Toby",
"timestamp": "08/05/2022 15:53:34",
"content": "$P(A\\cup B)=P(A)+P(B)-P(A\\cap B)=P(A)+P(B)-P(A)P(B)$",
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"id": 1005202076328013800,
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"author_name": "TeXit",
"timestamp": "08/05/2022 15:54:10",
"content": "**Toby**",
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"author_name": "Percy Potter",
"timestamp": "08/05/2022 15:54:17",
"content": "so would i be solving for P(AnB) with the above",
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"timestamp": "08/05/2022 15:54:19",
"content": "right",
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"author_name": "Percy Potter",
"timestamp": "08/05/2022 15:54:26",
"content": "and that would be the final answer?",
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"timestamp": "08/05/2022 15:54:39",
"content": "once you substitute the probabilities, yes",
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"timestamp": "08/05/2022 15:58:54",
"content": "my final answer was 11/16",
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"author_name": "Percy Potter",
"timestamp": "08/05/2022 15:59:36",
"content": "is it that likely to get those possibilities?",
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"id": 1005204963221315600,
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"author_name": "Toby",
"timestamp": "08/05/2022 16:05:39",
"content": "what is \"likely\"?",
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"timestamp": "08/05/2022 16:05:53",
"content": "11:5 odds",
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"id": 1005205065457471500,
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"author_name": "Percy Potter",
"timestamp": "08/05/2022 16:06:03",
"content": "to spin a prime number or getting G",
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"timestamp": "08/05/2022 16:07:05",
"content": "I meant how do you define \"likely\"",
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"timestamp": "08/05/2022 16:07:23",
"content": "likely to happen",
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"timestamp": "08/05/2022 16:07:25",
"content": "like 11/16 times",
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"timestamp": "08/05/2022 16:10:28",
"content": "its more likely than getting stuck by lightning...",
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"timestamp": "08/05/2022 16:10:33",
"content": "lol",
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"author_name": "Percy Potter",
"timestamp": "08/05/2022 16:11:15",
"content": "i just think that the possibilites of the above seems a bit too likely for outcomes that are only 5/8 times and 1/6",
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"timestamp": "08/05/2022 16:11:39",
"content": "i could be very wrong tho cuz i havent encountered a q like this yet",
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"timestamp": "08/05/2022 16:12:36",
"content": "(your answer of 11/16 was correct)",
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"timestamp": "08/05/2022 16:12:57",
"content": "if you do more things, its more likely to be successful",
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"id": 1005206847025840300,
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"timestamp": "08/05/2022 16:13:08",
"content": "eg, the more you flip a coin, the more likely you will flip a (single) heads",
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"timestamp": "08/05/2022 16:13:32",
"content": "okay",
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"author_name": "Percy Potter",
"timestamp": "08/05/2022 16:13:38",
"content": "thx for the help",
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"id": 1005206979851067500,
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"timestamp": "08/05/2022 16:13:39",
"content": ".close",
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"timestamp": "08/05/2022 16:13:40",
"content": "Channel closed",
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}
] |
help-9
|
061073410e9d44fb97c115b11547bbf0
|
197,653 |
[
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"timestamp": "08/05/2022 16:14:40",
"content": "Available help channel!",
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"id": 1005215499694653600,
"author_id": 263422710447734800,
"author_name": "aguirre27",
"timestamp": "08/05/2022 16:47:31",
"content": "How do I make a phase diagram of a differential equation?",
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"content": "For example y'=y^2",
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"timestamp": "08/05/2022 17:02:53",
"content": "@aguirre27 Has your question been resolved?",
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"content": "@aguirre27 Has your question been resolved?",
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] |
help-9
|
229f86788d8a48daae158eed10936d58
|
197,654 |
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"content": "Available help channel!",
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"timestamp": "08/05/2022 18:27:58",
"content": "im kinda confused what I do for the last question",
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"author_id": 774739847608139800,
"author_name": "Kohlemaennchen",
"timestamp": "08/05/2022 18:31:45",
"content": "In c you need to find the points having horizontal tangent lines with your graph",
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"content": "This has to be approved with a calculation in d",
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"timestamp": "08/05/2022 18:42:11",
"content": "but I already calculated it",
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"timestamp": "08/05/2022 18:42:35",
"content": "i think that part was for the graphing calculator",
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"timestamp": "08/05/2022 18:42:41",
"content": "so I could just move the work to d?",
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"timestamp": "08/05/2022 18:43:00",
"content": "You don't have to calculate it in c",
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"timestamp": "08/05/2022 18:43:26",
"content": "Just read it from your graph",
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"author_name": "reign",
"timestamp": "08/05/2022 18:43:55",
"content": "yeah thats what im saying",
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"timestamp": "08/05/2022 18:44:01",
"content": "Ok",
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"timestamp": "08/05/2022 18:44:04",
"content": "thanks",
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"timestamp": "08/05/2022 18:44:05",
"content": ".close",
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help-9
|
216a2f3ee3b04e9590f87ae02a02d734
|
197,655 |
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/05/2022 19:03:12",
"content": "Well if you're familiar with something I call \"sine wrapping\", then you just look at the non-trigonometric factor",
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"timestamp": "08/05/2022 19:03:15",
"content": "In this case, it's x",
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"timestamp": "08/05/2022 19:03:19",
"content": "Is x even or odd",
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"author_name": "Umbraleviathan",
"timestamp": "08/05/2022 19:03:45",
"content": "Oh wait nvm",
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"author_name": "Umbraleviathan",
"timestamp": "08/05/2022 19:03:49",
"content": "Scratch that I goofed up",
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"author_name": "Umbraleviathan",
"timestamp": "08/05/2022 19:03:52",
"content": "You just do this manually",
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"timestamp": "08/05/2022 19:04:10",
"content": "I was thinking about x + cos(x) lol",
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"timestamp": "08/05/2022 19:04:52",
"content": "I put even",
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"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/05/2022 19:04:52",
"content": "Check if f(-x) = f(x) and check if f(-x) is -f(x)",
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"timestamp": "08/05/2022 19:04:55",
"content": "It's not even",
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"timestamp": "08/05/2022 19:04:58",
"content": "I can tell you that",
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"id": 1005250094150463600,
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"timestamp": "08/05/2022 19:04:59",
"content": "Oh",
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"author_id": 349354952961032200,
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"timestamp": "08/05/2022 19:05:02",
"content": "It is definitely not even",
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},
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"id": 1005250108318818300,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "08/05/2022 19:05:02",
"content": "Odd?",
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},
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"id": 1005250139499282400,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/05/2022 19:05:09",
"content": "_ _",
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},
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"id": 1005250156758839400,
"author_id": 349354952961032200,
"author_name": "Umbraleviathan",
"timestamp": "08/05/2022 19:05:14",
"content": "I'm thinking odd or neither",
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},
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"author_name": "Umbraleviathan",
"timestamp": "08/05/2022 19:05:25",
"content": "I haven't done the work myself, but I know how to solve for it",
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},
{
"id": 1005250215818838000,
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"author_name": "avidrunner",
"timestamp": "08/05/2022 19:05:28",
"content": "Thanks",
"attachments": [],
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},
{
"id": 1005250364477538400,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "08/05/2022 19:06:03",
"content": "",
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1005250363722580029/Screen_Shot_2022-08-05_at_7.06.00_PM.png",
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"id": 1005250464935329900,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "08/05/2022 19:06:27",
"content": "4?",
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},
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"id": 1005250931383861400,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/05/2022 19:08:18",
"content": "Not quite",
"attachments": [],
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},
{
"id": 1005250978116800600,
"author_id": 485903210272391200,
"author_name": "dldh06",
"timestamp": "08/05/2022 19:08:29",
"content": "What does f(g(x)) mean?",
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},
{
"id": 1005252664461893800,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "08/05/2022 19:15:11",
"content": "if f(x) = 4x + 10",
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},
{
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"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "08/05/2022 19:15:21",
"content": "what is f(g(x))? @avidrunner",
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"id": 1005252775686443000,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "08/05/2022 19:15:38",
"content": "or rather f(g(a))",
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},
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"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 19:21:27",
"content": "@avidrunner Has your question been resolved?",
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"author_name": "avidrunner",
"timestamp": "08/05/2022 19:22:32",
"content": "Not sure",
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"id": 1005254637475082200,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "08/05/2022 19:23:02",
"content": "what’s f(2) if f(x) = 4x + 10",
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"id": 1005254665929244700,
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"author_name": "avidrunner",
"timestamp": "08/05/2022 19:23:09",
"content": "18",
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},
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"author_name": "HeadShotCem",
"timestamp": "08/05/2022 19:24:07",
"content": "since f(2) = 4(2) + 10, right?",
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"author_name": "HeadShotCem",
"timestamp": "08/05/2022 19:24:16",
"content": "you basically replaced x with 2",
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},
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"id": 1005254994007695500,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "08/05/2022 19:24:27",
"content": "so let’s return here",
"attachments": [],
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},
{
"id": 1005255081567977500,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "08/05/2022 19:24:48",
"content": "to find f(g(x)), you need to replace x with g(x)",
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},
{
"id": 1005255325051523100,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "08/05/2022 19:25:46",
"content": "I think the answer is 0",
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},
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"id": 1005255369678929900,
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"timestamp": "08/05/2022 19:25:56",
"content": "4(0) + 10 = 10",
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},
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"author_name": "avidrunner",
"timestamp": "08/05/2022 19:26:22",
"content": "i didnt bother with g, just f",
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},
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"id": 1005255557000732800,
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"author_name": "avidrunner",
"timestamp": "08/05/2022 19:26:41",
"content": "but sqrt of 2 is not 10",
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},
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"id": 1005256077400617000,
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"author_name": "HeadShotCem",
"timestamp": "08/05/2022 19:28:45",
"content": "that’s incorrect",
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},
{
"id": 1005256587109212300,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "08/05/2022 19:30:47",
"content": "well, it can't be -2 because sqrt of 0 is 0",
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},
{
"id": 1005256616230265000,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "08/05/2022 19:30:54",
"content": "so I'm gonna have to go with a, 8 on this one",
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},
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"id": 1005256636086100000,
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"author_name": "avidrunner",
"timestamp": "08/05/2022 19:30:58",
"content": "but I don't understand why it's correct",
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},
{
"id": 1005256732030812300,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "08/05/2022 19:31:21",
"content": "4(8) + 10 = 42",
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},
{
"id": 1005256836452192400,
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"author_name": "avidrunner",
"timestamp": "08/05/2022 19:31:46",
"content": "sqrt 8 + 2 = sqrt 10",
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},
{
"id": 1005256892118995000,
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"author_name": "avidrunner",
"timestamp": "08/05/2022 19:31:59",
"content": "sqrt 10 is 3.16227766017",
"attachments": [],
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},
{
"id": 1005257047970939000,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "08/05/2022 19:32:37",
"content": "42 * 3.16227766017 does not equal 10",
"attachments": [],
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},
{
"id": 1005257177423941600,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "08/05/2022 19:33:07",
"content": "i prob didnt calculate that correctly lol.. my only guess is my math is way off",
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},
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"id": 1005257715045642200,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "08/05/2022 19:35:16",
"content": ".close",
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},
{
"id": 1005257716786270300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 19:35:16",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
4533e65eedba46cc974808f7df83b798
|
197,656 |
[
{
"id": 1005257969044308100,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 19:36:16",
"content": "Available help channel!",
"attachments": [],
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"reference": null
},
{
"id": 1005262523202818200,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "08/05/2022 19:54:22",
"content": "f(g(a)) = 4\\*g(a) + 10 = 4\\*sqrt(a+2) + 10 = 10",
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"timestamp": "08/05/2022 19:54:22",
"content": "Pinned a message.",
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"id": 1005262629322895400,
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"author_name": "avidrunner",
"timestamp": "08/05/2022 19:54:47",
"content": "I put 8 as my answer",
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},
{
"id": 1005262632518946800,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "08/05/2022 19:54:48",
"content": ".close",
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},
{
"id": 1005262634125377500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 19:54:48",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
f278dab74dbc4087b061e40b0392f7d4
|
197,657 |
[
{
"id": 1005262654975250600,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "08/05/2022 19:54:53",
"content": ".reopen",
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"reference": null
},
{
"id": 1005262658326507600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 19:54:54",
"content": "✅",
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},
{
"id": 1005262672624877700,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "08/05/2022 19:54:58",
"content": "lol",
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},
{
"id": 1005262692963078300,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "08/05/2022 19:55:02",
"content": "also incorrect",
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"id": 1005262716438597600,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "08/05/2022 19:55:08",
"content": "so it has to be -2",
"attachments": [],
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},
{
"id": 1005262732100124800,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "08/05/2022 19:55:12",
"content": "why",
"attachments": [],
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"reference": null
},
{
"id": 1005262761430884400,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "08/05/2022 19:55:19",
"content": "I have tried the other 3 lool",
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},
{
"id": 1005262773174935700,
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"author_name": "HeadShotCem",
"timestamp": "08/05/2022 19:55:22",
"content": "@avidrunner",
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{
"id": 1005262817131237500,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "08/05/2022 19:55:32",
"content": "can you please read",
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"reference": null
},
{
"id": 1005262849662259200,
"author_id": 277133612812468220,
"author_name": "HeadShotCem",
"timestamp": "08/05/2022 19:55:40",
"content": "what I’m saying bro",
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},
{
"id": 1005262984790155400,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "08/05/2022 19:56:12",
"content": "g(-2) = 0",
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},
{
"id": 1005263001978409000,
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"author_name": "avidrunner",
"timestamp": "08/05/2022 19:56:16",
"content": "f(x) = 2",
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},
{
"id": 1005263356317417600,
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"author_name": "avidrunner",
"timestamp": "08/05/2022 19:57:41",
"content": "0 + 10 = 10",
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},
{
"id": 1005263362898264200,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "08/05/2022 19:57:42",
"content": "hmmm",
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},
{
"id": 1005263653928452200,
"author_id": 313298495417221100,
"author_name": "avidrunner",
"timestamp": "08/05/2022 19:58:51",
"content": ".close",
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},
{
"id": 1005266625697685500,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 20:10:40",
"content": "@HeadShotCem Has your question been resolved?",
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"timestamp": "08/05/2022 20:10:48",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
fa61456088f14624b89c515f890db8a3
|
197,658 |
[
{
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"timestamp": "08/05/2022 20:11:49",
"content": "Available help channel!",
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},
{
"id": 1005288121732182100,
"author_id": 655143826918473700,
"author_name": "KIM KIM",
"timestamp": "08/05/2022 21:36:05",
"content": "Quick question, if I have this graph and I start dfs at a and get this dfs search tree, is {c,a} a back edge?",
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"timestamp": "08/05/2022 21:36:06",
"content": "Pinned a message.",
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"id": 1005288176220385400,
"author_id": 655143826918473700,
"author_name": "KIM KIM",
"timestamp": "08/05/2022 21:36:18",
"content": "Sorry for shitty picture",
"attachments": [],
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},
{
"id": 1005291952046088200,
"author_id": 805217272087838700,
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"timestamp": "08/05/2022 21:51:18",
"content": "@KIM KIM Has your question been resolved?",
"attachments": [],
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{
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"timestamp": "08/05/2022 22:23:10",
"content": "@KIM KIM Has your question been resolved?",
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},
{
"id": 1005301256899809400,
"author_id": 205143587749494800,
"author_name": "MattDog_222",
"timestamp": "08/05/2022 22:28:17",
"content": "yes a-c is a backedge",
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},
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"id": 1005303279955222700,
"author_id": 205143587749494800,
"author_name": "MattDog_222",
"timestamp": "08/05/2022 22:36:19",
"content": "a backedge in an undirected graph is just the unused dfs edges of the original tree",
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},
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"id": 1005303353158418400,
"author_id": 205143587749494800,
"author_name": "MattDog_222",
"timestamp": "08/05/2022 22:36:37",
"content": "in a directed graph it has to be an unused edge going to an ancestor",
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},
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"timestamp": "08/05/2022 22:53:10",
"content": "Channel closed",
"attachments": [],
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"reference": null
}
] |
help-9
|
ef75241100a743b8b4effeb998be0a0e
|
197,659 |
[
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"timestamp": "03/21/2022 22:20:00",
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"timestamp": "03/21/2022 22:25:32",
"content": "Pinned a message.",
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"author_id": 288773505779105800,
"author_name": "Ramen",
"timestamp": "03/21/2022 22:25:37",
"content": "How would I solve a parametric equation like this?",
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"author_id": 288773505779105800,
"author_name": "Ramen",
"timestamp": "03/21/2022 22:26:30",
"content": "Trying to substitute t doesn't relaly work",
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"id": 955654529272139800,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "03/21/2022 22:29:54",
"content": "what are you solving for",
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"id": 955654551422259200,
"author_id": 261933205387477000,
"author_name": "riemann",
"timestamp": "03/21/2022 22:30:00",
"content": "they're just two equations",
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"id": 955654563745136600,
"author_id": 288773505779105800,
"author_name": "Ramen",
"timestamp": "03/21/2022 22:30:03",
"content": "x and y while eliminating T",
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"author_id": 288773505779105800,
"author_name": "Ramen",
"timestamp": "03/21/2022 22:30:20",
"content": "eliminating the parameter T basically",
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"id": 955654708549279700,
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"author_name": "riemann",
"timestamp": "03/21/2022 22:30:37",
"content": "you mean y in terms of x?",
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"id": 955654728874856400,
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"timestamp": "03/21/2022 22:30:42",
"content": "right",
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"author_name": "Ramen",
"timestamp": "03/21/2022 22:30:46",
"content": "well not necessarily",
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"timestamp": "03/21/2022 22:30:53",
"content": "show the instructions",
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"timestamp": "03/21/2022 22:31:09",
"content": "",
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"id": 955656161342922900,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/21/2022 22:36:24",
"content": "oh wait",
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"id": 955656172415881200,
"author_id": 307070375735459840,
"author_name": "abs_0",
"timestamp": "03/21/2022 22:36:26",
"content": "you could complete the square",
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"id": 955656288925278200,
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"timestamp": "03/21/2022 22:36:54",
"content": "x + 1/4 = (t + 1/2)^2",
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"timestamp": "03/21/2022 22:36:58",
"content": "@Ramen ^",
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"author_name": "Mathematics Bot",
"timestamp": "03/21/2022 22:46:09",
"content": "@Ramen Has your question been resolved?",
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"author_id": 288773505779105800,
"author_name": "Ramen",
"timestamp": "03/21/2022 22:58:22",
"content": "Completing the square for parametrics?",
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"timestamp": "03/21/2022 22:58:28",
"content": "let me search that up",
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"id": 955661730325876700,
"author_id": 288773505779105800,
"author_name": "Ramen",
"timestamp": "03/21/2022 22:58:31",
"content": "I haven't heard of that before",
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},
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"id": 955661734490812400,
"author_id": 288773505779105800,
"author_name": "Ramen",
"timestamp": "03/21/2022 22:58:32",
"content": "tysm",
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"author_name": "Mathematics Bot",
"timestamp": "03/21/2022 23:01:09",
"content": "Channel closed",
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}
] |
help-9
|
c94007331111434cbbd7c0e200233f8c
|
197,660 |
[
{
"id": 959613216705638400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "04/01/2022 20:40:19",
"content": "Available help channel!",
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},
{
"id": 959618906090270700,
"author_id": 437300702960812000,
"author_name": "KN",
"timestamp": "04/01/2022 21:02:56",
"content": "Does a series like $$ \\sum_{i=0}^{\\infty} 0$$ converge to 0?",
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},
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"id": 959618908132884500,
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"timestamp": "04/01/2022 21:02:56",
"content": "Pinned a message.",
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"id": 959618962272956500,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "04/01/2022 21:03:09",
"content": "**Kurama**",
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"id": 959619007353327600,
"author_id": 329749386315956200,
"author_name": "Sneaky",
"timestamp": "04/01/2022 21:03:20",
"content": "idk what I can say about \"series like it\" but that series definitely converges to 0",
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"id": 959619082456555600,
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"timestamp": "04/01/2022 21:03:38",
"content": "oh i just mean that series",
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"timestamp": "04/01/2022 21:03:43",
"content": "ok, ty",
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"id": 959619121509711900,
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"author_name": "KN",
"timestamp": "04/01/2022 21:03:47",
"content": ".close",
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"timestamp": "04/01/2022 21:03:47",
"content": "Channel closed",
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}
] |
help-9
|
0ef041e65648451489ccccbf8bc60bda
|
197,661 |
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"id": 1005320147084529700,
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"author_name": "Mathematics Bot",
"timestamp": "08/05/2022 23:43:21",
"content": "Available help channel!",
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"id": 1005336903312216200,
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"author_id": 670479169083146200,
"author_name": "Justt.monty",
"timestamp": "08/06/2022 00:50:10",
"content": "I need help with this.",
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"id": 1005337266975150100,
"author_id": 183668144404037630,
"author_name": "Ann",
"timestamp": "08/06/2022 00:51:22",
"content": "are you familiar with exponent laws?",
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"content": "@Justt.monty Has your question been resolved?",
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"timestamp": "08/06/2022 01:05:21",
"content": "Nope",
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"id": 1005340871924912100,
"author_id": 670479169083146200,
"author_name": "Justt.monty",
"timestamp": "08/06/2022 01:05:42",
"content": "I know how to solve and followed the steps but still got a different / wrong answer",
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"id": 1005343919657189400,
"author_id": 910777539444744200,
"author_name": "Mr. Gamer",
"timestamp": "08/06/2022 01:17:48",
"content": "Are you sure you know how to solve",
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},
{
"id": 1005344428698902500,
"author_id": 205143587749494800,
"author_name": "MattDog_222",
"timestamp": "08/06/2022 01:19:50",
"content": "this is the only law u need here",
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"id": 1005344814407098500,
"author_id": 205143587749494800,
"author_name": "MattDog_222",
"timestamp": "08/06/2022 01:21:22",
"content": "and everything is being multiplied so u can simplify out",
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"id": 1005345539786805200,
"author_id": 205143587749494800,
"author_name": "MattDog_222",
"timestamp": "08/06/2022 01:24:15",
"content": "so u can break them into same-bases",
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"timestamp": "08/06/2022 01:24:51",
"content": "actually u need both of these laws",
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"content": "@Justt.monty Has your question been resolved?",
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"content": "Channel closed",
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}
] |
help-9
|
34467048d01043488513854f10ad378d
|
197,662 |
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"timestamp": "08/06/2022 01:36:42",
"content": "Thank youu",
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"author_name": "HellO",
"timestamp": "08/06/2022 01:55:33",
"content": "hi, can someone tell me if my working makes sense?",
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{
"id": 1005354851330441300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:01:15",
"content": "First part is the same as how many upper triangular matrix of order 3 made up by 0 and 1 are there",
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"id": 1005354921350156300,
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"timestamp": "08/06/2022 02:01:31",
"content": "ah whats that",
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"timestamp": "08/06/2022 02:01:32",
"content": "Second part is for those matrices whose diagonal are not all 0",
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"id": 1005355017609420900,
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"author_name": "HellO",
"timestamp": "08/06/2022 02:01:54",
"content": "sry im not sure whats that lol",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:02:30",
"content": "Forgot about direction, my bad, rethinking",
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"id": 1005355188799938600,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:02:35",
"content": ":sadcatthumbsup:",
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"author_id": 826318983413366800,
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"timestamp": "08/06/2022 02:04:47",
"content": "I don’t think it’s correct…",
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"timestamp": "08/06/2022 02:04:53",
"content": "By the way, parallel edges",
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"id": 1005355829005930600,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:05:08",
"content": "ahh can I know why its wrong pls",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:05:10",
"content": "Two edges from a to b and from b to a, are they considered as parallel?",
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"timestamp": "08/06/2022 02:05:17",
"content": "yes",
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"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:06:04",
"content": "And for part i there can be graphs having loops right?",
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"timestamp": "08/06/2022 02:06:24",
"content": "ahh right",
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"timestamp": "08/06/2022 02:06:31",
"content": "so i left that out",
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{
"id": 1005356205176279000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:06:37",
"content": "This is how I considered it:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005356441672089600,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:07:34",
"content": "Each graph corresponds a unique upper matrix of order 3, diagonal are elements of {0,1}, rest are elements of {0,1,-1}",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005356507426197500,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:07:49",
"content": "This is what this correspondence is:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005356600040632300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:08:12",
"content": "Any graph , rename three vertexes as 1,2,3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005356658156912600,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:08:25",
"content": "whats an upper matrix?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005356704420073500,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:08:36",
"content": "Sorry, upper triangular matrix",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005356727656525800,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:08:42",
"content": "ah whats that",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005356761412276200,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:08:50",
"content": "Search for it, I will keep typing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005356805490221000,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:09:01",
"content": "okay",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005356951812722700,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:09:35",
"content": "okay got it",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005357091940212700,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:10:09",
"content": "If there is a loop at vertex i, a_ii=1, if not , a_ii=0\nnext i<j, If there exists an directed edge from i to j, let a_ij=1, If there exists an directed edge from j to i, let a_ij=-1, if no edge between i and j let a_ij=0",
"attachments": [],
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"reference": null
},
{
"id": 1005357181396332500,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:10:30",
"content": "ah this is like algorithms lol",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005357296081190900,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:10:58",
"content": "See this is a one-to-one correspondence, so (2^3)(3^3) in total I got for part i, 3^3 for part ii",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005357317870596100,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:11:03",
"content": "Seems correct right?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005357339211219000,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:11:08",
"content": "one sec",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005357467351392300,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:11:38",
"content": "i dont quite get the -1 thingy",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005357557470212100,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:12:00",
"content": "Here, directed edge from j to i",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005357766422057100,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:12:50",
"content": "ah okay i sort of see it now",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005357873339048100,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:13:15",
"content": "actually is there any other way to solve this without matrices?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005357927957286900,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:13:28",
"content": "This is one example",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005357946806476900,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:13:33",
"content": "",
"attachments": [
{
"id": 1005357946152177800,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1005357946152177784/IMG_9179.png",
"fileName": "IMG_9179.png",
"fileSizeBytes": 171464
}
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},
{
"id": 1005357994806091800,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:13:44",
"content": "I don’t know, it seems to be the most natural thing to me",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005358031887937500,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:13:53",
"content": "Otherwise it wouldn’t come to my mind first",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005358344720109600,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:15:08",
"content": "hmm, okay i see it now",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005358501717082200,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:15:45",
"content": "ok wait",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005358544960364500,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:15:55",
"content": "i understand the matrix but i dont get the (2^3)(3^3) thing",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005358617848987800,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:16:13",
"content": "Each element on diagonal has two choice, 0 or 1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005358678293094500,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:16:27",
"content": "For the rest three choices, 0,1,-1",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005358773998735400,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:16:50",
"content": "ohhh right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005358819850854400,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:17:01",
"content": "okay think i get it now",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005358841988382700,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:17:06",
"content": "👍",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005358846446948400,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:17:07",
"content": "would never have thought of using amtrices tho",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005358896115888100,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:17:19",
"content": "but thing is, why wouldnt my method work thou?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005358909088870500,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:17:22",
"content": "like my previous working",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005359013749342300,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:17:47",
"content": "For start you didn’t allow loops for part i",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005359073329422300,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:18:01",
"content": "oh right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005359128748752900,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:18:14",
"content": "other than that would the others be ok?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005359173514580000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:18:25",
"content": "Idk, too long😂",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005359217990975500,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:18:36",
"content": ":monkaS: :tinktonk:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005359229017796700,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:18:38",
"content": "okay tysm xD",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005359264174457000,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 02:18:47",
"content": "Np",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005359281039745200,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:18:51",
"content": ":uwucat:",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005359286014201900,
"author_id": 560241701612945400,
"author_name": "HellO",
"timestamp": "08/06/2022 02:18:52",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005359287444455600,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/06/2022 02:18:52",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
d7b2bfd96d7b427e9f88964b94fb149a
|
197,663 |
[
{
"id": 1005371743881404400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/06/2022 03:08:22",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005374773993418900,
"author_id": 731021800468906100,
"author_name": "Spikey",
"timestamp": "08/06/2022 03:20:25",
"content": "i think its clues 1 + 3 and also 1 + 2 + 4 but ive tried solving it but nothings working so i think im doing it wrong",
"attachments": [
{
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"url": "https://cdn.discordapp.com/attachments/486844875632017408/1005374772894502983/IMG_8277.jpg",
"fileName": "IMG_8277.jpg",
"fileSizeBytes": 980695
}
],
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},
{
"id": 1005374775901835300,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/06/2022 03:20:25",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1005374773993418900,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1005375405806600300,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/06/2022 03:22:55",
"content": "The axis of symmetry should always go through the turning point of a quadratic",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005375447414100100,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/06/2022 03:23:05",
"content": "So 3 and 4 contradict eachother",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005375563487252500,
"author_id": 731021800468906100,
"author_name": "Spikey",
"timestamp": "08/06/2022 03:23:33",
"content": "okayyy",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005376294818680800,
"author_id": 731021800468906100,
"author_name": "Spikey",
"timestamp": "08/06/2022 03:26:27",
"content": "could u please tell me what im doing wrong in solving for a",
"attachments": [
{
"id": 1005376292994154500,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1005376292994154496/362C35A8-8F24-4E8D-A9D1-FB775C5BFA64.jpg",
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}
],
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},
{
"id": 1005376610742046700,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/06/2022 03:27:42",
"content": "Using which combination",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005376758826139600,
"author_id": 731021800468906100,
"author_name": "Spikey",
"timestamp": "08/06/2022 03:28:18",
"content": "1 and 3",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005377131334881300,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/06/2022 03:29:47",
"content": "I don’t understand what you did in the step after y=a(x-2)^2+5",
"attachments": [],
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"reference": null
},
{
"id": 1005377356946477200,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/06/2022 03:30:40",
"content": "What were you trying to do when you wrote a(0-2)^2+5",
"attachments": [],
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},
{
"id": 1005377400349134800,
"author_id": 731021800468906100,
"author_name": "Spikey",
"timestamp": "08/06/2022 03:30:51",
"content": "i dont either",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005377410872643600,
"author_id": 731021800468906100,
"author_name": "Spikey",
"timestamp": "08/06/2022 03:30:53",
"content": "solve for a",
"attachments": [],
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"reference": null
},
{
"id": 1005377579731144700,
"author_id": 731021800468906100,
"author_name": "Spikey",
"timestamp": "08/06/2022 03:31:34",
"content": "substitute the x for the 0 bc of the (0,13) coordinate given",
"attachments": [],
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},
{
"id": 1005377661222265000,
"author_id": 731021800468906100,
"author_name": "Spikey",
"timestamp": "08/06/2022 03:31:53",
"content": "what should i do to solve for a",
"attachments": [],
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"reference": null
},
{
"id": 1005377750539964500,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/06/2022 03:32:14",
"content": "This is correct",
"attachments": [],
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"reference": null
},
{
"id": 1005377808991797200,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/06/2022 03:32:28",
"content": "You wanted to substitute 0 for x and 13 for y right",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005377883075780600,
"author_id": 731021800468906100,
"author_name": "Spikey",
"timestamp": "08/06/2022 03:32:46",
"content": "yeah",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005377907046236300,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/06/2022 03:32:52",
"content": "Then it would be 13=a(0-2)^2+5",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005378187917795300,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/06/2022 03:33:59",
"content": "Continue solving from here",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005378381992427500,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/06/2022 03:34:45",
"content": "I noticed you made a mistake when you solved it yourself",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005378408034873300,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/06/2022 03:34:51",
"content": "You said 13=9a",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005378443233480700,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/06/2022 03:34:59",
"content": "Did you add 4a to 5?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005378488641007700,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/06/2022 03:35:10",
"content": "Because 13=4a+5 is correct",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005378516034007000,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/06/2022 03:35:17",
"content": "But then you said 13=9a",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005378597734854800,
"author_id": 731021800468906100,
"author_name": "Spikey",
"timestamp": "08/06/2022 03:35:36",
"content": "OHH",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005378792954536100,
"author_id": 731021800468906100,
"author_name": "Spikey",
"timestamp": "08/06/2022 03:36:23",
"content": "rightttt",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005379000715190300,
"author_id": 731021800468906100,
"author_name": "Spikey",
"timestamp": "08/06/2022 03:37:12",
"content": "im dying",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005379011041566800,
"author_id": 731021800468906100,
"author_name": "Spikey",
"timestamp": "08/06/2022 03:37:15",
"content": "tysm",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005379075231199200,
"author_id": 697730177962344400,
"author_name": "Tarek Ahmed",
"timestamp": "08/06/2022 03:37:30",
"content": "No problem",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005379140599435400,
"author_id": 731021800468906100,
"author_name": "Spikey",
"timestamp": "08/06/2022 03:37:46",
"content": ".close",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005379142444908700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/06/2022 03:37:46",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
55289570ed3748a5a10bdefb52e44656
|
197,664 |
[
{
"id": 1005394000657780700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/06/2022 04:36:49",
"content": "Available help channel!",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005394964664025100,
"author_id": 406800318991564800,
"author_name": "Purpsand",
"timestamp": "08/06/2022 04:40:38",
"content": "is there any way to see if a difference equation is correct?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005394966861852700,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/06/2022 04:40:39",
"content": "Pinned a message.",
"attachments": [],
"mentions": [],
"reference": {
"messageId": 1005394964664025100,
"channelId": 486844875632017400,
"guildId": null
}
},
{
"id": 1005394981613215700,
"author_id": 406800318991564800,
"author_name": "Purpsand",
"timestamp": "08/06/2022 04:40:42",
"content": "as in a soltuion?",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005395119089909800,
"author_id": 406800318991564800,
"author_name": "Purpsand",
"timestamp": "08/06/2022 04:41:15",
"content": "for e.g this",
"attachments": [
{
"id": 1005395118443999400,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1005395118443999343/unknown.png",
"fileName": "unknown.png",
"fileSizeBytes": 30242
}
],
"mentions": [],
"reference": null
},
{
"id": 1005398894986940400,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/06/2022 04:56:15",
"content": "@Purpsand Has your question been resolved?",
"attachments": [],
"mentions": [
{
"id": 406800318991564800,
"name": "Purpsand",
"discriminator": "9348",
"nickname": "Purpsand",
"isBot": false
}
],
"reference": null
},
{
"id": 1005401462312026100,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 05:06:28",
"content": "Let F_n=E_n+2n",
"attachments": [],
"mentions": [
{
"id": 406800318991564800,
"name": "Purpsand",
"discriminator": "9348",
"nickname": "Purpsand",
"isBot": false
}
],
"reference": null
},
{
"id": 1005401490585817200,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 05:06:34",
"content": "Then E_n is homogeneous",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005401683335065600,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 05:07:20",
"content": "$F_{n}=E_{n}+2n,E_{n+2}+2E_{n+1}-3E_{n}=0$",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005401738154610700,
"author_id": 510789298321096700,
"author_name": "TeXit",
"timestamp": "08/06/2022 05:07:33",
"content": "**Cogwheels of the mind**",
"attachments": [
{
"id": 1005401738255270000,
"url": "https://cdn.discordapp.com/attachments/486844875632017408/1005401738255269999/826318983413366824.png",
"fileName": "826318983413366824.png",
"fileSizeBytes": 10520
}
],
"mentions": [],
"reference": null
},
{
"id": 1005402170675433500,
"author_id": 826318983413366800,
"author_name": "Cogwheels of the mind",
"timestamp": "08/06/2022 05:09:16",
"content": "x^2+2x-3=(x-1)(x+3) so E_n=u(1^n)+v(-3)^n. Use E_1=-5 , E_2=19 to solve u,v.QED",
"attachments": [],
"mentions": [],
"reference": null
},
{
"id": 1005402670615494800,
"author_id": 805217272087838700,
"author_name": "Mathematics Bot",
"timestamp": "08/06/2022 05:11:16",
"content": "Channel closed",
"attachments": [],
"mentions": [],
"reference": null
}
] |
help-9
|
5008eb4a4df842cd9b8857cbe7220a21
|
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