mikeion/dissertation_data_with_split · Data Studio

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1,693	help-10	b33f3f7177cf4e03ade344f245258bad	403,868,346,455,556,100	ChuFta	04/04/2022 14:42:22	the thing on the bottom is the intersection			1	0	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	562,871,150,762,262,500	Dracô	04/04/2022 14:43:21	Ah nice			0	1	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	562,871,150,762,262,500	Dracô	04/04/2022 14:43:58	Let me try xD			0	1	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	562,871,150,762,262,500	Dracô	04/04/2022 14:47:38	Yes so you got a belongs to (-1, 1/2)			0	1	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	562,871,150,762,262,500	Dracô	04/04/2022 14:48:07	So you gonna say that that -1<a<0 ?			0	1	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	403,868,346,455,556,100	ChuFta	04/04/2022 14:49:07	nvm			1	0	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	403,868,346,455,556,100	ChuFta	04/04/2022 14:49:16	wait			1	0	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	403,868,346,455,556,100	ChuFta	04/04/2022 14:49:18	im stupid			1	0	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	403,868,346,455,556,100	ChuFta	04/04/2022 14:49:31	i thought my interval was [-1,1/2>			1	0	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	403,868,346,455,556,100	ChuFta	04/04/2022 14:49:41	and i had to prove for [1/2,0>			1	0	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	403,868,346,455,556,100	ChuFta	04/04/2022 14:49:46	...			1	0	403,868,346,455,556,100	ChuFta	9335	ChuFta	false
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	403,868,346,455,556,100	ChuFta	04/04/2022 14:49:47	sorry			1	0	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	562,871,150,762,262,500	Dracô	04/04/2022 14:50:14	(-1, 1/2) = (-1, 0) U [0, 1/2) So if something gets valid over LHS then it shall automatically be valid over RHS too			0	1	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	562,871,150,762,262,500	Dracô	04/04/2022 14:50:20	Np haha			0	1	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	562,871,150,762,262,500	Dracô	04/04/2022 14:50:36	I was thinking if we could go through the interval			0	1	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	403,868,346,455,556,100	ChuFta	04/04/2022 14:50:51	i just say that <-1,0> is a subset of <-1,1/2>			1	0	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	562,871,150,762,262,500	Dracô	04/04/2022 14:51:09	Yes			0	1	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	403,868,346,455,556,100	ChuFta	04/04/2022 14:51:10	thank you for your help			1	0	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	403,868,346,455,556,100	ChuFta	04/04/2022 14:51:16	😘			1	0	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	562,871,150,762,262,500	Dracô	04/04/2022 14:51:42	There can be one more way			0	1	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	562,871,150,762,262,500	Dracô	04/04/2022 14:51:46	Imma send let's see			0	1	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	562,871,150,762,262,500	Dracô	04/04/2022 14:56:19	@ChuFta	https://cdn.discordapp.c…20405_002559.jpg	IMG_20220405_002559.jpg	0	1	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	403,868,346,455,556,100	ChuFta	04/04/2022 14:57:31	the thing is we didnt "learn" roots yet in highschool, we did in primary school but we dont really use them and we didnt learn to write it in exponential form			1	0	403,868,346,455,556,100	ChuFta	9335	ChuFta	false
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	403,868,346,455,556,100	ChuFta	04/04/2022 14:57:35	ik its weird			1	0	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	403,868,346,455,556,100	ChuFta	04/04/2022 14:57:39	but we did learn exponents..			1	0	403,868,346,455,556,100	ChuFta	9335	ChuFta	false
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	403,868,346,455,556,100	ChuFta	04/04/2022 14:57:54	its new thing in my country the school system changed everything is messed up			1	0	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	562,871,150,762,262,500	Dracô	04/04/2022 14:58:14	It's fine You shall learn about these eventually I just gave an additional answer			0	1	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	562,871,150,762,262,500	Dracô	04/04/2022 14:58:23	:sadcatthumbsup:			0	1	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	403,868,346,455,556,100	ChuFta	04/04/2022 14:58:29	i mean i know what it is just saying			1	0	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	403,868,346,455,556,100	ChuFta	04/04/2022 14:58:30	thank you			1	0	null	null	null	null	null
1,693	help-10	b33f3f7177cf4e03ade344f245258bad	403,868,346,455,556,100	ChuFta	04/04/2022 14:58:31	<3			1	0	null	null	null	null	null
1,694	help-10	92caa72a6c6742088d85826248e9194c	525,428,840,269,611,000	messifan27	04/04/2022 17:26:16	I have a grade 12 mathematics exploration paper I need to write and essentially what I'm doing is calculating air resistance's and spin's effect on a soccer ball. I know I'm gonna seem lazy but I'm wondering where to start? Or rather a couple more specific questions: **1.What are all the forces I should consider for ai...			1	0	null	null	null	null	null
1,694	help-10	92caa72a6c6742088d85826248e9194c	525,428,840,269,611,000	messifan27	04/04/2022 18:01:26	no answer sadger			1	0	null	null	null	null	null
1,694	help-10	92caa72a6c6742088d85826248e9194c	525,428,840,269,611,000	messifan27	04/04/2022 18:01:29	.close			1	0	null	null	null	null	null
1,695	help-10	85610bf378d04ec7bceda16a9f761309	483,692,993,845,657,600	The guy who asked	04/04/2022 18:29:50	hi			1	0	null	null	null	null	null
1,695	help-10	85610bf378d04ec7bceda16a9f761309	483,692,993,845,657,600	The guy who asked	04/04/2022 18:29:57		https://cdn.discordapp.c…t_6.29.00_PM.png	Screen_Shot_2022-04-04_at_6.29.00_PM.png	1	0	null	null	null	null	null
1,695	help-10	85610bf378d04ec7bceda16a9f761309	483,692,993,845,657,600	The guy who asked	04/04/2022 18:30:08	Where did the x go in the first step?			1	0	null	null	null	null	null
1,695	help-10	85610bf378d04ec7bceda16a9f761309	200,013,547,491,688,450	a disappointing son	04/04/2022 18:31:31	what			0	1	null	null	null	null	null
1,695	help-10	85610bf378d04ec7bceda16a9f761309	884,904,554,037,141,600	dk.dkn	04/04/2022 18:31:51	Log laws			0	1	null	null	null	null	null
1,695	help-10	85610bf378d04ec7bceda16a9f761309	884,904,554,037,141,600	dk.dkn	04/04/2022 18:31:55	The x went nowhere			0	1	null	null	null	null	null
1,695	help-10	85610bf378d04ec7bceda16a9f761309	884,904,554,037,141,600	dk.dkn	04/04/2022 18:32:25	The power of x inside the log is ln(x), which they factored out			0	1	403,868,346,455,556,100	ChuFta	9335	ChuFta	false
1,695	help-10	85610bf378d04ec7bceda16a9f761309	200,013,547,491,688,450	a disappointing son	04/04/2022 18:32:34	there are multiple x's and none of them disappeared			0	1	null	null	null	null	null
1,695	help-10	85610bf378d04ec7bceda16a9f761309	200,013,547,491,688,450	a disappointing son	04/04/2022 18:32:36	the question makes no sense			0	1	403,868,346,455,556,100	ChuFta	9335	ChuFta	false
1,695	help-10	85610bf378d04ec7bceda16a9f761309	884,904,554,037,141,600	dk.dkn	04/04/2022 18:33:22	He thinks they got rid of (or changed) the x that’s raised to ln(x)			0	1	null	null	null	null	null
1,695	help-10	85610bf378d04ec7bceda16a9f761309	483,692,993,845,657,600	The guy who asked	04/04/2022 18:34:27	wait			1	0	null	null	null	null	null
1,695	help-10	85610bf378d04ec7bceda16a9f761309	483,692,993,845,657,600	The guy who asked	04/04/2022 18:35:45	oh I dropped the ln(x) and kept it on the inside of the ln but it should be on the outside right?			1	0	null	null	null	null	null
1,695	help-10	85610bf378d04ec7bceda16a9f761309	483,692,993,845,657,600	The guy who asked	04/04/2022 18:36:18	oh i get it now			1	0	null	null	null	null	null
1,695	help-10	85610bf378d04ec7bceda16a9f761309	483,692,993,845,657,600	The guy who asked	04/04/2022 18:36:28	also shouldn't it be natural log of absolute value			1	0	null	null	null	null	null
1,695	help-10	85610bf378d04ec7bceda16a9f761309	483,692,993,845,657,600	The guy who asked	04/04/2022 18:36:31	not natural log			1	0	null	null	null	null	null
1,695	help-10	85610bf378d04ec7bceda16a9f761309	200,013,547,491,688,450	a disappointing son	04/04/2022 18:37:33	huh			0	1	null	null	null	null	null
1,695	help-10	85610bf378d04ec7bceda16a9f761309	562,871,150,762,262,500	Dracô	04/04/2022 18:37:43	:pandaScreams:			0	1	null	null	null	null	null
1,695	help-10	85610bf378d04ec7bceda16a9f761309	483,692,993,845,657,600	The guy who asked	04/04/2022 18:39:43	we used log differentiation, which requires ln of the absolute value			1	0	null	null	null	null	null
1,695	help-10	85610bf378d04ec7bceda16a9f761309	483,692,993,845,657,600	The guy who asked	04/04/2022 18:39:52	not just ln ( )			1	0	null	null	null	null	null
1,695	help-10	85610bf378d04ec7bceda16a9f761309	483,692,993,845,657,600	The guy who asked	04/04/2022 18:40:08	but why is it ln ( ) in this case			1	0	null	null	null	null	null
1,695	help-10	85610bf378d04ec7bceda16a9f761309	200,013,547,491,688,450	a disappointing son	04/04/2022 18:41:58	?			0	1	null	null	null	null	null
1,695	help-10	85610bf378d04ec7bceda16a9f761309	483,692,993,845,657,600	The guy who asked	04/04/2022 18:42:42	bro what did I do 😭			1	0	null	null	null	null	null
1,695	help-10	85610bf378d04ec7bceda16a9f761309	483,692,993,845,657,600	The guy who asked	04/04/2022 18:43:32	in log differentiation, we normally do ln I x I but in this case we did ln ( x ), I'm asking why			1	0	null	null	null	null	null
1,696	help-10	794732dc11fb4baea78b1b904387d843	570,073,393,333,010,400	Penguinss3	04/04/2022 19:22:38	Question 2: I have no idea how to get the revenue function	https://cdn.discordapp.c…B038D2681A99.jpg	D777A5B4-42DA-455F-A606-B038D2681A99.jpg	1	0	null	null	null	null	null
1,696	help-10	794732dc11fb4baea78b1b904387d843	570,073,393,333,010,400	Penguinss3	04/04/2022 19:23:24	I would guess that maybe you need to find R= px but that doesn’t really make sense and I think I’m missing a detail			1	0	null	null	null	null	null
1,696	help-10	794732dc11fb4baea78b1b904387d843	570,073,393,333,010,400	Penguinss3	04/04/2022 19:39:24	@Helpers			1	0	483,692,993,845,657,600	The guy who asked	2896	The guy who asked	false
1,696	help-10	794732dc11fb4baea78b1b904387d843	570,073,393,333,010,400	Penguinss3	04/04/2022 20:12:49	please @ me if you have any advice for me			1	0	null	null	null	null	null
1,696	help-10	794732dc11fb4baea78b1b904387d843	570,073,393,333,010,400	Penguinss3	04/04/2022 21:09:10	.close			1	0	null	null	null	null	null
1,697	help-10	e8ef032376d94910b609088158571501	758,357,183,402,082,300	Diegito	04/04/2022 21:13:54	Can anyone explain how to verify identity #8? I’ve tried different methods like replacing the functions in terms of sine and cosine and using Pythagorean identities but I get stuck	https://cdn.discordapp.c…518/IMG_7174.jpg	IMG_7174.jpg	1	0	null	null	null	null	null
1,697	help-10	e8ef032376d94910b609088158571501	933,312,115,907,919,900	◥▶_◀◤	04/04/2022 21:20:43	The result is incorrect			0	1	null	null	null	null	null
1,697	help-10	e8ef032376d94910b609088158571501	933,312,115,907,919,900	◥▶_◀◤	04/04/2022 21:21:40	$\frac{\csc \theta +\cot^2 \theta}{\csc\theta}=\sin\theta+\cos^2\theta}$			0	1	null	null	null	null	null
1,697	help-10	e8ef032376d94910b609088158571501	510,789,298,321,096,700	TeXit	04/04/2022 21:21:42	◥▶\_◀◤ ```latex $\frac{\csc \theta +\cot^2 \theta}{\csc\theta}=\sin\theta+\cos^2\theta}$ ```Compilation error:```! Extra }, or forgotten $. l.57 ...heta}{\csc\theta}=\sin\theta+\cos^2\theta} $ I've deleted a group-closing symbol because it seems to be spurious, as i...	https://cdn.discordapp.c…115907919922.png	933312115907919922.png	0	1	null	null	null	null	null
1,697	help-10	e8ef032376d94910b609088158571501	758,357,183,402,082,300	Diegito	04/04/2022 21:22:48	thats actually what I've been getting but the worksheet said otherwise			1	0	null	null	null	null	null
1,697	help-10	e8ef032376d94910b609088158571501	758,357,183,402,082,300	Diegito	04/04/2022 21:30:25	.close			1	0	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	683,736,282,526,253,000	LukeyThePookie	04/04/2022 21:35:13	Hi! I am stumped by this question: Show that we can color the elements of the set $S={1,2,...,2007}$ with 4 colors such that any subset of S with 10 elements, whose elements form an arithmetic sequence, is not all one color. I tried to use expected value, as this is in the Expected Value section of my textbook, but I ...			1	0	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	510,789,298,321,096,700	TeXit	04/04/2022 21:35:17	LukeyThePookie	https://cdn.discordapp.c…282526253099.png	683736282526253099.png	0	1	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	683,736,282,526,253,000	LukeyThePookie	04/04/2022 21:35:33	Oops idk how to use sets in latex			1	0	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	683,736,282,526,253,000	LukeyThePookie	04/04/2022 21:36:53	please ping if you say something!			1	0	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	826,318,983,413,366,800	Cogwheels of the mind	04/04/2022 22:35:11	I think I have found a way			0	1	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	826,318,983,413,366,800	Cogwheels of the mind	04/04/2022 22:35:25	Express any integer from 1 to 2007 using 4-adic			0	1	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	826,318,983,413,366,800	Cogwheels of the mind	04/04/2022 22:35:46	Then we color it by the 4 digit			0	1	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	826,318,983,413,366,800	Cogwheels of the mind	04/04/2022 22:38:13	Like 491 is 13223 using 4-adic expression , we color it with color 2 because it’s 4-digit is 2			0	1	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	826,318,983,413,366,800	Cogwheels of the mind	04/04/2022 22:38:50	13 is 31 in 4-adic (13=1+(3)4)			0	1	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	826,318,983,413,366,800	Cogwheels of the mind	04/04/2022 22:39:13	Whose 4-digit is 3 so we color 13 with color 3			0	1	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	826,318,983,413,366,800	Cogwheels of the mind	04/04/2022 22:40:20	38 is 212 in 4-adic whose 4-digit is 1 we color it with color 1, 3 is 3 in 4-Adic so we color 3 with color 0			0	1	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	826,318,983,413,366,800	Cogwheels of the mind	04/04/2022 22:41:13	Anyway, any number whose 4-adic express is …k_2k_1k_0, we color it with color k_1			0	1	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	826,318,983,413,366,800	Cogwheels of the mind	04/04/2022 22:41:30	This satisfies the condition I think:			0	1	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	826,318,983,413,366,800	Cogwheels of the mind	04/04/2022 22:41:53	Because any ten numbers of the same color a			0	1	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	826,318,983,413,366,800	Cogwheels of the mind	04/04/2022 22:43:21	$x_{1}=…k_{3}^{1}k_{2}^{1}ak_{0}^{1}$,…, $x_{10}=…k_{3}^{10}k_{2}^{10}ak_{0}^{10}$			0	1	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	510,789,298,321,096,700	TeXit	04/04/2022 22:43:23	Cogwheels of the mind	https://cdn.discordapp.c…983413366824.png	826318983413366824.png	0	1	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	826,318,983,413,366,800	Cogwheels of the mind	04/04/2022 22:43:42	Then any 1<=i<=8			0	1	758,357,183,402,082,300	Diegito	1864	Diegito	false
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	826,318,983,413,366,800	Cogwheels of the mind	04/04/2022 22:45:16	$k_{0}^{i}+k_{0}^{i+2} \equiv 2k_{0}^{i+1} \mod 16$			0	1	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	510,789,298,321,096,700	TeXit	04/04/2022 22:45:18	Cogwheels of the mind	https://cdn.discordapp.c…983413366824.png	826318983413366824.png	0	1	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	683,736,282,526,253,000	LukeyThePookie	04/04/2022 22:45:19	sorry, so how does this start?			1	0	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	683,736,282,526,253,000	LukeyThePookie	04/04/2022 22:45:29	im so sorry im not very good at this			1	0	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	826,318,983,413,366,800	Cogwheels of the mind	04/04/2022 22:45:47	So $k_{0}^{i}+k_{0}^{i+2} =2k_{0}^{i+1}$			0	1	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	510,789,298,321,096,700	TeXit	04/04/2022 22:45:49	Cogwheels of the mind	https://cdn.discordapp.c…983413366824.png	826318983413366824.png	0	1	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	826,318,983,413,366,800	Cogwheels of the mind	04/04/2022 22:46:07	The last sentence			0	1	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	826,318,983,413,366,800	Cogwheels of the mind	04/04/2022 22:46:14	This			0	1	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	683,736,282,526,253,000	LukeyThePookie	04/04/2022 22:47:11	do you mean 4-adic expression as in base 4? or something like that?			1	0	683,736,282,526,253,000	LukeyThePookie	2725	LukeyThePookie	false
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	826,318,983,413,366,800	Cogwheels of the mind	04/04/2022 22:47:19	Yeah			0	1	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	683,736,282,526,253,000	LukeyThePookie	04/04/2022 22:47:22	oh ok			1	0	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	826,318,983,413,366,800	Cogwheels of the mind	04/04/2022 22:47:24	But I found a mistake			0	1	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	826,318,983,413,366,800	Cogwheels of the mind	04/04/2022 22:47:27	I am trying to fix it			0	1	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	683,736,282,526,253,000	LukeyThePookie	04/04/2022 22:47:37	oh ok			1	0	null	null	null	null	null
1,698	help-10	f9b58f42b3d74a259a2b1b9456757d50	683,736,282,526,253,000	LukeyThePookie	04/04/2022 22:50:16	wait but i still don't get why this works, what if we have the sequence 1, 5, 9, 13, ..., then since they are all the same mod 4, wouldn't they all be the same color?			1	0	null	null	null	null	null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

403,868,346,455,556,100

ChuFta

04/04/2022 14:42:22

the thing on the bottom is the intersection

1

0

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

562,871,150,762,262,500

Dracô

04/04/2022 14:43:21

Ah nice

0

1

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

562,871,150,762,262,500

Dracô

04/04/2022 14:43:58

Let me try xD

0

1

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

562,871,150,762,262,500

Dracô

04/04/2022 14:47:38

Yes so you got a belongs to (-1, 1/2)

0

1

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

562,871,150,762,262,500

Dracô

04/04/2022 14:48:07

So you gonna say that that -1<a<0 ?

0

1

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

403,868,346,455,556,100

ChuFta

04/04/2022 14:49:07

nvm

1

0

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

403,868,346,455,556,100

ChuFta

04/04/2022 14:49:16

wait

1

0

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

403,868,346,455,556,100

ChuFta

04/04/2022 14:49:18

im stupid

1

0

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

403,868,346,455,556,100

ChuFta

04/04/2022 14:49:31

i thought my interval was [-1,1/2>

1

0

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

403,868,346,455,556,100

ChuFta

04/04/2022 14:49:41

and i had to prove for [1/2,0>

1

0

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

403,868,346,455,556,100

ChuFta

04/04/2022 14:49:46

...

1

0

403,868,346,455,556,100

ChuFta

9335

ChuFta

false

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

403,868,346,455,556,100

ChuFta

04/04/2022 14:49:47

sorry

1

0

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

562,871,150,762,262,500

Dracô

04/04/2022 14:50:14

(-1, 1/2) = (-1, 0) U [0, 1/2) So if something gets valid over LHS then it shall automatically be valid over RHS too

0

1

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

562,871,150,762,262,500

Dracô

04/04/2022 14:50:20

Np haha

0

1

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

562,871,150,762,262,500

Dracô

04/04/2022 14:50:36

I was thinking if we could go through the interval

0

1

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

403,868,346,455,556,100

ChuFta

04/04/2022 14:50:51

i just say that <-1,0> is a subset of <-1,1/2>

1

0

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

562,871,150,762,262,500

Dracô

04/04/2022 14:51:09

Yes

0

1

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

403,868,346,455,556,100

ChuFta

04/04/2022 14:51:10

thank you for your help

1

0

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

403,868,346,455,556,100

ChuFta

04/04/2022 14:51:16

😘

1

0

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

562,871,150,762,262,500

Dracô

04/04/2022 14:51:42

There can be one more way

0

1

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

562,871,150,762,262,500

Dracô

04/04/2022 14:51:46

Imma send let's see

0

1

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

562,871,150,762,262,500

Dracô

04/04/2022 14:56:19

@ChuFta

https://cdn.discordapp.c…20405_002559.jpg

IMG_20220405_002559.jpg

0

1

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

403,868,346,455,556,100

ChuFta

04/04/2022 14:57:31

the thing is we didnt "learn" roots yet in highschool, we did in primary school but we dont really use them and we didnt learn to write it in exponential form

1

0

403,868,346,455,556,100

ChuFta

9335

ChuFta

false

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

403,868,346,455,556,100

ChuFta

04/04/2022 14:57:35

ik its weird

1

0

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

403,868,346,455,556,100

ChuFta

04/04/2022 14:57:39

but we did learn exponents..

1

0

403,868,346,455,556,100

ChuFta

9335

ChuFta

false

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

403,868,346,455,556,100

ChuFta

04/04/2022 14:57:54

its new thing in my country the school system changed everything is messed up

1

0

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

562,871,150,762,262,500

Dracô

04/04/2022 14:58:14

It's fine You shall learn about these eventually I just gave an additional answer

0

1

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

562,871,150,762,262,500

Dracô

04/04/2022 14:58:23

:sadcatthumbsup:

0

1

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

403,868,346,455,556,100

ChuFta

04/04/2022 14:58:29

i mean i know what it is just saying

1

0

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

403,868,346,455,556,100

ChuFta

04/04/2022 14:58:30

thank you

1

0

null

1,693

help-10

b33f3f7177cf4e03ade344f245258bad

403,868,346,455,556,100

ChuFta

04/04/2022 14:58:31

<3

1

0

null

1,694

help-10

92caa72a6c6742088d85826248e9194c

525,428,840,269,611,000

messifan27

04/04/2022 17:26:16

I have a grade 12 mathematics exploration paper I need to write and essentially what I'm doing is calculating air resistance's and spin's effect on a soccer ball. I know I'm gonna seem lazy but I'm wondering where to start? Or rather a couple more specific questions: **1.What are all the forces I should consider for ai...

1

0

null

1,694

help-10

92caa72a6c6742088d85826248e9194c

525,428,840,269,611,000

messifan27

04/04/2022 18:01:26

no answer sadger

1

0

null

1,694

help-10

92caa72a6c6742088d85826248e9194c

525,428,840,269,611,000

messifan27

04/04/2022 18:01:29

.close

1

0

null

1,695

help-10

85610bf378d04ec7bceda16a9f761309

483,692,993,845,657,600

The guy who asked

04/04/2022 18:29:50

hi

1

0

null

1,695

help-10

85610bf378d04ec7bceda16a9f761309

483,692,993,845,657,600

The guy who asked

04/04/2022 18:29:57

https://cdn.discordapp.c…t_6.29.00_PM.png

Screen_Shot_2022-04-04_at_6.29.00_PM.png

1

0

null

1,695

help-10

85610bf378d04ec7bceda16a9f761309

483,692,993,845,657,600

The guy who asked

04/04/2022 18:30:08

Where did the x go in the first step?

1

0

null

1,695

help-10

85610bf378d04ec7bceda16a9f761309

200,013,547,491,688,450

a disappointing son

04/04/2022 18:31:31

what

0

1

null

1,695

help-10

85610bf378d04ec7bceda16a9f761309

884,904,554,037,141,600

dk.dkn

04/04/2022 18:31:51

Log laws

0

1

null

1,695

help-10

85610bf378d04ec7bceda16a9f761309

884,904,554,037,141,600

dk.dkn

04/04/2022 18:31:55

The x went nowhere

0

1

null

1,695

help-10

85610bf378d04ec7bceda16a9f761309

884,904,554,037,141,600

dk.dkn

04/04/2022 18:32:25

The power of x inside the log is ln(x), which they factored out

0

1

403,868,346,455,556,100

ChuFta

9335

ChuFta

false

1,695

help-10

85610bf378d04ec7bceda16a9f761309

200,013,547,491,688,450

a disappointing son

04/04/2022 18:32:34

there are multiple x's and none of them disappeared

0

1

null

1,695

help-10

85610bf378d04ec7bceda16a9f761309

200,013,547,491,688,450

a disappointing son

04/04/2022 18:32:36

the question makes no sense

0

1

403,868,346,455,556,100

ChuFta

9335

ChuFta

false

1,695

help-10

85610bf378d04ec7bceda16a9f761309

884,904,554,037,141,600

dk.dkn

04/04/2022 18:33:22

He thinks they got rid of (or changed) the x that’s raised to ln(x)

0

1

null

1,695

help-10

85610bf378d04ec7bceda16a9f761309

483,692,993,845,657,600

The guy who asked

04/04/2022 18:34:27

wait

1

0

null

1,695

help-10

85610bf378d04ec7bceda16a9f761309

483,692,993,845,657,600

The guy who asked

04/04/2022 18:35:45

oh I dropped the ln(x) and kept it on the inside of the ln but it should be on the outside right?

1

0

null

1,695

help-10

85610bf378d04ec7bceda16a9f761309

483,692,993,845,657,600

The guy who asked

04/04/2022 18:36:18

oh i get it now

1

0

null

1,695

help-10

85610bf378d04ec7bceda16a9f761309

483,692,993,845,657,600

The guy who asked

04/04/2022 18:36:28

also shouldn't it be natural log of absolute value

1

0

null

1,695

help-10

85610bf378d04ec7bceda16a9f761309

483,692,993,845,657,600

The guy who asked

04/04/2022 18:36:31

not natural log

1

0

null

1,695

help-10

85610bf378d04ec7bceda16a9f761309

200,013,547,491,688,450

a disappointing son

04/04/2022 18:37:33

huh

0

1

null

1,695

help-10

85610bf378d04ec7bceda16a9f761309

562,871,150,762,262,500

Dracô

04/04/2022 18:37:43

:pandaScreams:

0

1

null

1,695

help-10

85610bf378d04ec7bceda16a9f761309

483,692,993,845,657,600

The guy who asked

04/04/2022 18:39:43

we used log differentiation, which requires ln of the absolute value

1

0

null

1,695

help-10

85610bf378d04ec7bceda16a9f761309

483,692,993,845,657,600

The guy who asked

04/04/2022 18:39:52

not just ln ( )

1

0

null

1,695

help-10

85610bf378d04ec7bceda16a9f761309

483,692,993,845,657,600

The guy who asked

04/04/2022 18:40:08

but why is it ln ( ) in this case

1

0

null

1,695

help-10

85610bf378d04ec7bceda16a9f761309

200,013,547,491,688,450

a disappointing son

04/04/2022 18:41:58

?

0

1

null

1,695

help-10

85610bf378d04ec7bceda16a9f761309

483,692,993,845,657,600

The guy who asked

04/04/2022 18:42:42

bro what did I do 😭

1

0

null

1,695

help-10

85610bf378d04ec7bceda16a9f761309

483,692,993,845,657,600

The guy who asked

04/04/2022 18:43:32

in log differentiation, we normally do ln I x I but in this case we did ln ( x ), I'm asking why

1

0

null

1,696

help-10

794732dc11fb4baea78b1b904387d843

570,073,393,333,010,400

Penguinss3

04/04/2022 19:22:38

Question 2: I have no idea how to get the revenue function

https://cdn.discordapp.c…B038D2681A99.jpg

D777A5B4-42DA-455F-A606-B038D2681A99.jpg

1

0

null

1,696

help-10

794732dc11fb4baea78b1b904387d843

570,073,393,333,010,400

Penguinss3

04/04/2022 19:23:24

I would guess that maybe you need to find R= px but that doesn’t really make sense and I think I’m missing a detail

1

0

null

1,696

help-10

794732dc11fb4baea78b1b904387d843

570,073,393,333,010,400

Penguinss3

04/04/2022 19:39:24

@Helpers

1

0

483,692,993,845,657,600

The guy who asked

2896

The guy who asked

false

1,696

help-10

794732dc11fb4baea78b1b904387d843

570,073,393,333,010,400

Penguinss3

04/04/2022 20:12:49

please @ me if you have any advice for me

1

0

null

1,696

help-10

794732dc11fb4baea78b1b904387d843

570,073,393,333,010,400

Penguinss3

04/04/2022 21:09:10

.close

1

0

null

1,697

help-10

e8ef032376d94910b609088158571501

758,357,183,402,082,300

Diegito

04/04/2022 21:13:54

Can anyone explain how to verify identity #8? I’ve tried different methods like replacing the functions in terms of sine and cosine and using Pythagorean identities but I get stuck

https://cdn.discordapp.c…518/IMG_7174.jpg

IMG_7174.jpg

1

0

null

1,697

help-10

e8ef032376d94910b609088158571501

933,312,115,907,919,900

◥▶_◀◤

04/04/2022 21:20:43

The result is incorrect

0

1

null

1,697

help-10

e8ef032376d94910b609088158571501

933,312,115,907,919,900

◥▶_◀◤

04/04/2022 21:21:40

$\frac{\csc \theta +\cot^2 \theta}{\csc\theta}=\sin\theta+\cos^2\theta}$

0

1

null

1,697

help-10

e8ef032376d94910b609088158571501

510,789,298,321,096,700

TeXit

04/04/2022 21:21:42

**◥▶\_◀◤** ```latex $\frac{\csc \theta +\cot^2 \theta}{\csc\theta}=\sin\theta+\cos^2\theta}$ ```Compilation error:```! Extra }, or forgotten $. l.57 ...heta}{\csc\theta}=\sin\theta+\cos^2\theta} $ I've deleted a group-closing symbol because it seems to be spurious, as i...

https://cdn.discordapp.c…115907919922.png

933312115907919922.png

0

1

null

1,697

help-10

e8ef032376d94910b609088158571501

758,357,183,402,082,300

Diegito

04/04/2022 21:22:48

thats actually what I've been getting but the worksheet said otherwise

1

0

null

1,697

help-10

e8ef032376d94910b609088158571501

758,357,183,402,082,300

Diegito

04/04/2022 21:30:25

.close

1

0

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

683,736,282,526,253,000

LukeyThePookie

04/04/2022 21:35:13

Hi! I am stumped by this question: Show that we can color the elements of the set $S={1,2,...,2007}$ with 4 colors such that any subset of S with 10 elements, whose elements form an arithmetic sequence, is not all one color. I tried to use expected value, as this is in the Expected Value section of my textbook, but I ...

1

0

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

510,789,298,321,096,700

TeXit

04/04/2022 21:35:17

**LukeyThePookie**

https://cdn.discordapp.c…282526253099.png

683736282526253099.png

0

1

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

683,736,282,526,253,000

LukeyThePookie

04/04/2022 21:35:33

Oops idk how to use sets in latex

1

0

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

683,736,282,526,253,000

LukeyThePookie

04/04/2022 21:36:53

please ping if you say something!

1

0

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

826,318,983,413,366,800

Cogwheels of the mind

04/04/2022 22:35:11

I think I have found a way

0

1

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

826,318,983,413,366,800

Cogwheels of the mind

04/04/2022 22:35:25

Express any integer from 1 to 2007 using 4-adic

0

1

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

826,318,983,413,366,800

Cogwheels of the mind

04/04/2022 22:35:46

Then we color it by the 4 digit

0

1

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

826,318,983,413,366,800

Cogwheels of the mind

04/04/2022 22:38:13

Like 491 is 13223 using 4-adic expression , we color it with color 2 because it’s 4-digit is 2

0

1

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

826,318,983,413,366,800

Cogwheels of the mind

04/04/2022 22:38:50

13 is 31 in 4-adic (13=1+(3)4)

0

1

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

826,318,983,413,366,800

Cogwheels of the mind

04/04/2022 22:39:13

Whose 4-digit is 3 so we color 13 with color 3

0

1

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

826,318,983,413,366,800

Cogwheels of the mind

04/04/2022 22:40:20

38 is 212 in 4-adic whose 4-digit is 1 we color it with color 1, 3 is 3 in 4-Adic so we color 3 with color 0

0

1

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

826,318,983,413,366,800

Cogwheels of the mind

04/04/2022 22:41:13

Anyway, any number whose 4-adic express is …k_2k_1k_0, we color it with color k_1

0

1

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

826,318,983,413,366,800

Cogwheels of the mind

04/04/2022 22:41:30

This satisfies the condition I think:

0

1

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

826,318,983,413,366,800

Cogwheels of the mind

04/04/2022 22:41:53

Because any ten numbers of the same color a

0

1

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

826,318,983,413,366,800

Cogwheels of the mind

04/04/2022 22:43:21

$x_{1}=…k_{3}^{1}k_{2}^{1}ak_{0}^{1}$,…, $x_{10}=…k_{3}^{10}k_{2}^{10}ak_{0}^{10}$

0

1

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

510,789,298,321,096,700

TeXit

04/04/2022 22:43:23

**Cogwheels of the mind**

https://cdn.discordapp.c…983413366824.png

826318983413366824.png

0

1

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

826,318,983,413,366,800

Cogwheels of the mind

04/04/2022 22:43:42

Then any 1<=i<=8

0

1

758,357,183,402,082,300

Diegito

1864

Diegito

false

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

826,318,983,413,366,800

Cogwheels of the mind

04/04/2022 22:45:16

$k_{0}^{i}+k_{0}^{i+2} \equiv 2k_{0}^{i+1} \mod 16$

0

1

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

510,789,298,321,096,700

TeXit

04/04/2022 22:45:18

**Cogwheels of the mind**

https://cdn.discordapp.c…983413366824.png

826318983413366824.png

0

1

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

683,736,282,526,253,000

LukeyThePookie

04/04/2022 22:45:19

sorry, so how does this start?

1

0

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

683,736,282,526,253,000

LukeyThePookie

04/04/2022 22:45:29

im so sorry im not very good at this

1

0

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

826,318,983,413,366,800

Cogwheels of the mind

04/04/2022 22:45:47

So $k_{0}^{i}+k_{0}^{i+2} =2k_{0}^{i+1}$

0

1

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

510,789,298,321,096,700

TeXit

04/04/2022 22:45:49

**Cogwheels of the mind**

https://cdn.discordapp.c…983413366824.png

826318983413366824.png

0

1

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

826,318,983,413,366,800

Cogwheels of the mind

04/04/2022 22:46:07

The last sentence

0

1

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

826,318,983,413,366,800

Cogwheels of the mind

04/04/2022 22:46:14

This

0

1

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

683,736,282,526,253,000

LukeyThePookie

04/04/2022 22:47:11

do you mean 4-adic expression as in base 4? or something like that?

1

0

683,736,282,526,253,000

LukeyThePookie

2725

LukeyThePookie

false

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

826,318,983,413,366,800

Cogwheels of the mind

04/04/2022 22:47:19

Yeah

0

1

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

683,736,282,526,253,000

LukeyThePookie

04/04/2022 22:47:22

oh ok

1

0

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

826,318,983,413,366,800

Cogwheels of the mind

04/04/2022 22:47:24

But I found a mistake

0

1

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

826,318,983,413,366,800

Cogwheels of the mind

04/04/2022 22:47:27

I am trying to fix it

0

1

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

683,736,282,526,253,000

LukeyThePookie

04/04/2022 22:47:37

oh ok

1

0

null

1,698

help-10

f9b58f42b3d74a259a2b1b9456757d50

683,736,282,526,253,000

LukeyThePookie

04/04/2022 22:50:16

wait but i still don't get why this works, what if we have the sequence 1, 5, 9, 13, ..., then since they are all the same mod 4, wouldn't they all be the same color?

1

0

null