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help-10
b53ad77a563f4bc1bfc830474a355a91
463,643,948,691,357,700
liks
11/11/2021 09:27:16
Np
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290,958,623,704,743,940
spicy
11/11/2021 09:27:19
.close
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a40a68632e614b7e9439cb6cb2f1c10f
605,717,874,383,913,000
omer
03/31/2022 14:31:44
.reopen
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a40a68632e614b7e9439cb6cb2f1c10f
605,717,874,383,913,000
omer
03/31/2022 14:31:46
wtf
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a40a68632e614b7e9439cb6cb2f1c10f
605,717,874,383,913,000
omer
03/31/2022 14:31:53
/close
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a40a68632e614b7e9439cb6cb2f1c10f
605,717,874,383,913,000
omer
03/31/2022 14:31:55
.close
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a40a68632e614b7e9439cb6cb2f1c10f
307,070,375,735,459,840
abs_0
03/31/2022 14:34:56
?
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a40a68632e614b7e9439cb6cb2f1c10f
230,094,849,179,648,000
Lazy_Turtle
03/31/2022 14:57:41
I'm lost on how to solve this system of equation
https://cdn.discordapp.c…20331_135652.jpg
20220331_135652.jpg
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a40a68632e614b7e9439cb6cb2f1c10f
230,094,849,179,648,000
Lazy_Turtle
03/31/2022 15:23:57
i tried setting the equation up for y but i end up with a xy term i dont know what to do with
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help-10
a40a68632e614b7e9439cb6cb2f1c10f
230,094,849,179,648,000
Lazy_Turtle
03/31/2022 15:24:04
@Helpers
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help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:25:24
okay so you are on the right path
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help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:25:35
lets look at the 2y(x-1) = 0
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help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:25:47
what does that tell us?
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help-10
a40a68632e614b7e9439cb6cb2f1c10f
230,094,849,179,648,000
Lazy_Turtle
03/31/2022 15:26:08
x=1 and y=0
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null
null
null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:26:10
yep
0
1
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null
null
null
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1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:26:23
now we look at the first equation
0
1
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null
null
null
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1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:26:26
and use those
0
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290,958,623,704,743,940
spicy
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false
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help-10
a40a68632e614b7e9439cb6cb2f1c10f
230,094,849,179,648,000
Lazy_Turtle
03/31/2022 15:26:45
-3=0?
0
1
null
null
null
null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:26:53
you don't use both
0
1
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null
null
null
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1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
230,094,849,179,648,000
Lazy_Turtle
03/31/2022 15:26:57
ohh ok
0
1
null
null
null
null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:27:00
for 2y(x-1)
0
1
null
null
null
null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:27:05
either y = 0
0
1
null
null
null
null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:27:06
x = 1
0
1
null
null
null
null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:27:08
or both
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1
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null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
230,094,849,179,648,000
Lazy_Turtle
03/31/2022 15:27:33
-3+y^2=0
0
1
null
null
null
null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:27:44
yeah
0
1
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null
null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
230,094,849,179,648,000
Lazy_Turtle
03/31/2022 15:28:00
y= +- sqrt(3/2)
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1
null
null
null
null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
230,094,849,179,648,000
Lazy_Turtle
03/31/2022 15:28:11
nvm
0
1
null
null
null
null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
230,094,849,179,648,000
Lazy_Turtle
03/31/2022 15:28:12
wait
0
1
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null
null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
230,094,849,179,648,000
Lazy_Turtle
03/31/2022 15:28:21
sqrt(3)
0
1
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null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:28:25
+-
0
1
null
null
null
null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:28:28
but yeah
0
1
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help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:28:32
so we have 2 viable points
0
1
null
null
null
null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:28:40
(1, +- sqrt(3))
0
1
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null
null
null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:28:45
but theres still some more
0
1
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null
null
null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:29:09
we used x = 1
0
1
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null
null
null
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1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:29:11
now we try?
0
1
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null
null
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1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
230,094,849,179,648,000
Lazy_Turtle
03/31/2022 15:29:26
3x^2-6x=0
0
1
null
null
null
null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:29:30
yep
0
1
null
null
null
null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
230,094,849,179,648,000
Lazy_Turtle
03/31/2022 15:29:49
3(x^2-2x)=0
0
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1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
230,094,849,179,648,000
Lazy_Turtle
03/31/2022 15:30:24
then quadratic equation?
0
1
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null
null
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1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
230,094,849,179,648,000
Lazy_Turtle
03/31/2022 15:30:33
with c=0?
0
1
null
null
null
null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:30:45
you could also factor it but either way works
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1
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null
null
null
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1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
230,094,849,179,648,000
Lazy_Turtle
03/31/2022 15:31:41
3x(x-2)=0 x=0,2
0
1
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null
null
null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:31:46
yeah
0
1
null
null
null
null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
230,094,849,179,648,000
Lazy_Turtle
03/31/2022 15:32:00
thank you so much
0
1
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1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
608,693,565,996,007,400
SXK
03/31/2022 15:32:03
np
0
1
null
null
null
null
null
1,603
help-10
a40a68632e614b7e9439cb6cb2f1c10f
230,094,849,179,648,000
Lazy_Turtle
03/31/2022 15:33:28
.close
0
1
null
null
null
null
null
1,604
help-10
b104d413eca24c2dbaec430c2ab38bd4
527,241,936,659,152,960
Ihaveaquesiton
03/31/2022 15:40:29
L =/= 0
https://cdn.discordapp.c…8206/unknown.png
unknown.png
1
0
null
null
null
null
null
1,604
help-10
b104d413eca24c2dbaec430c2ab38bd4
527,241,936,659,152,960
Ihaveaquesiton
03/31/2022 15:40:37
what does the left hand side say ?
1
0
null
null
null
null
null
1,604
help-10
b104d413eca24c2dbaec430c2ab38bd4
527,241,936,659,152,960
Ihaveaquesiton
03/31/2022 15:41:06
an is a series
1
0
null
null
null
null
null
1,604
help-10
b104d413eca24c2dbaec430c2ab38bd4
391,959,424,924,778,500
ohNoiAmHere
03/31/2022 15:42:05
It means that the series approaches L
0
1
null
null
null
null
null
1,604
help-10
b104d413eca24c2dbaec430c2ab38bd4
391,959,424,924,778,500
ohNoiAmHere
03/31/2022 15:42:20
Basically as n gets reallllyyyy big itll get equal L
0
1
null
null
null
null
null
1,604
help-10
b104d413eca24c2dbaec430c2ab38bd4
527,241,936,659,152,960
Ihaveaquesiton
03/31/2022 15:43:07
it's from n to infinity?
1
0
null
null
null
null
null
1,604
help-10
b104d413eca24c2dbaec430c2ab38bd4
391,959,424,924,778,500
ohNoiAmHere
03/31/2022 15:43:54
Basically a_infinity equals L
0
1
null
null
null
null
null
1,604
help-10
b104d413eca24c2dbaec430c2ab38bd4
391,959,424,924,778,500
ohNoiAmHere
03/31/2022 15:44:00
But we dont like to say that
0
1
null
null
null
null
null
1,604
help-10
b104d413eca24c2dbaec430c2ab38bd4
391,959,424,924,778,500
ohNoiAmHere
03/31/2022 15:44:06
So we write the limit
0
1
null
null
null
null
null
1,604
help-10
b104d413eca24c2dbaec430c2ab38bd4
527,241,936,659,152,960
Ihaveaquesiton
03/31/2022 15:44:25
Gotcha, thanks
1
0
null
null
null
null
null
1,604
help-10
b104d413eca24c2dbaec430c2ab38bd4
527,241,936,659,152,960
Ihaveaquesiton
03/31/2022 15:44:31
I'll read up on lmits
1
0
null
null
null
null
null
1,604
help-10
b104d413eca24c2dbaec430c2ab38bd4
527,241,936,659,152,960
Ihaveaquesiton
03/31/2022 15:44:36
.close
1
0
null
null
null
null
null
1,605
help-10
5d18667e7a3340c4bbc2a711422204f7
298,170,313,303,392,260
Hypertive
03/31/2022 15:52:34
In integration if I use U substitution, can I still make what u equates to in the equation the same?
1
0
null
null
null
null
null
1,605
help-10
5d18667e7a3340c4bbc2a711422204f7
872,024,354,572,103,700
<><><>
03/31/2022 15:53:10
eh?
0
1
null
null
null
null
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1,605
help-10
5d18667e7a3340c4bbc2a711422204f7
872,024,354,572,103,700
<><><>
03/31/2022 15:53:23
is your question about dummy variables?
0
1
null
null
null
null
null
1,605
help-10
5d18667e7a3340c4bbc2a711422204f7
298,170,313,303,392,260
Hypertive
03/31/2022 15:54:04
say I did u = square root of x. There happens to be a square root of x in the original integral. To cancel them out, can I keep that square root of x in the integral?
1
0
null
null
null
null
null
1,605
help-10
5d18667e7a3340c4bbc2a711422204f7
872,024,354,572,103,700
<><><>
03/31/2022 15:54:39
Can you provide an example question
0
1
null
null
null
null
null
1,605
help-10
5d18667e7a3340c4bbc2a711422204f7
298,170,313,303,392,260
Hypertive
03/31/2022 15:55:09
https://cdn.discordapp.c…0345/unknown.png
unknown.png
1
0
null
null
null
null
null
1,605
help-10
5d18667e7a3340c4bbc2a711422204f7
872,024,354,572,103,700
<><><>
03/31/2022 15:56:14
Ok. So $u=\sqrt{x} \implies du = \frac{1}{2\sqrt{x}} dx$
0
1
null
null
null
null
null
1,605
help-10
5d18667e7a3340c4bbc2a711422204f7
510,789,298,321,096,700
TeXit
03/31/2022 15:56:16
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
null
null
null
null
null
1,605
help-10
5d18667e7a3340c4bbc2a711422204f7
298,170,313,303,392,260
Hypertive
03/31/2022 15:56:40
yeah. I can make it du * 2 sqrtx = dx
1
0
null
null
null
null
null
1,605
help-10
5d18667e7a3340c4bbc2a711422204f7
298,170,313,303,392,260
Hypertive
03/31/2022 15:56:47
and then cancel sqrt x
1
0
null
null
null
null
null
1,605
help-10
5d18667e7a3340c4bbc2a711422204f7
872,024,354,572,103,700
<><><>
03/31/2022 15:59:51
or you could it like $x=u^2 \implies dx = 2u ~du$
0
1
null
null
null
null
null
1,605
help-10
5d18667e7a3340c4bbc2a711422204f7
510,789,298,321,096,700
TeXit
03/31/2022 16:00:14
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
null
null
null
null
null
1,605
help-10
5d18667e7a3340c4bbc2a711422204f7
298,170,313,303,392,260
Hypertive
03/31/2022 16:01:16
is that similar to this
https://cdn.discordapp.c…4474/unknown.png
unknown.png
1
0
null
null
null
null
null
1,605
help-10
5d18667e7a3340c4bbc2a711422204f7
872,024,354,572,103,700
<><><>
03/31/2022 16:01:24
yh
0
1
null
null
null
null
null
1,605
help-10
5d18667e7a3340c4bbc2a711422204f7
298,170,313,303,392,260
Hypertive
03/31/2022 16:01:44
but say I did what I did, its not exactly wrong right? Or is there a scenario where it would backfire
1
0
null
null
null
null
null
1,605
help-10
5d18667e7a3340c4bbc2a711422204f7
872,024,354,572,103,700
<><><>
03/31/2022 16:03:51
No. it's fine. So it will become $\int_1^4 \frac{e^{\sqrt{x}}}{\sqrt{x}}dx = \int_1^2\frac{e^u}{u}2u ~du$
0
1
null
null
null
null
null
1,605
help-10
5d18667e7a3340c4bbc2a711422204f7
510,789,298,321,096,700
TeXit
03/31/2022 16:04:39
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
null
null
null
null
null
1,605
help-10
5d18667e7a3340c4bbc2a711422204f7
298,170,313,303,392,260
Hypertive
03/31/2022 16:04:53
ah yeah, true. Thanks
1
0
null
null
null
null
null
1,605
help-10
5d18667e7a3340c4bbc2a711422204f7
298,170,313,303,392,260
Hypertive
03/31/2022 16:05:03
.close
1
0
null
null
null
null
null
1,606
help-10
e8ab73f945344dc8aa7468d6a6088045
704,666,936,067,489,800
𝓬𝓱𝓪𝓻𝓶 quark
03/31/2022 16:50:14
https://cdn.discordapp.c…067489834-21.png
704666936067489834-21.png
1
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help-10
e8ab73f945344dc8aa7468d6a6088045
704,666,936,067,489,800
𝓬𝓱𝓪𝓻𝓶 quark
03/31/2022 16:50:19
Is this process correct
1
0
null
null
null
null
null
1,606
help-10
e8ab73f945344dc8aa7468d6a6088045
704,666,936,067,489,800
𝓬𝓱𝓪𝓻𝓶 quark
03/31/2022 16:50:48
I'm new to calculus so I just need confirmation that I'm doing stuff right
1
0
298,170,313,303,392,260
Hypertive
7515
Hypertive
false
1,606
help-10
e8ab73f945344dc8aa7468d6a6088045
704,666,936,067,489,800
𝓬𝓱𝓪𝓻𝓶 quark
03/31/2022 16:59:30
@Helpers
1
0
null
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null
null
1,606
help-10
e8ab73f945344dc8aa7468d6a6088045
704,666,936,067,489,800
𝓬𝓱𝓪𝓻𝓶 quark
03/31/2022 16:59:53
Wait it's been 9 minutes
1
0
872,024,354,572,103,700
<><><>
9772
<><><>
false
1,606
help-10
e8ab73f945344dc8aa7468d6a6088045
704,666,936,067,489,800
𝓬𝓱𝓪𝓻𝓶 quark
03/31/2022 16:59:56
Oof
1
0
298,170,313,303,392,260
Hypertive
7515
Hypertive
false
1,606
help-10
e8ab73f945344dc8aa7468d6a6088045
704,666,936,067,489,800
𝓬𝓱𝓪𝓻𝓶 quark
03/31/2022 17:00:16
I'm closing this channel cuz I'm going to sleep so bye I'll be back tomorrow
1
0
872,024,354,572,103,700
<><><>
9772
<><><>
false
1,606
help-10
e8ab73f945344dc8aa7468d6a6088045
704,666,936,067,489,800
𝓬𝓱𝓪𝓻𝓶 quark
03/31/2022 17:00:22
.close
1
0
null
null
null
null
null
1,607
help-10
64faf14f5a68444d85f4fd2bc4b5c3bf
457,946,966,823,796,740
phymo
03/31/2022 17:05:20
ok so I was studying and I came across a statement saying, "number that are their own inverses", but I didnt really understand the statement
1
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null
null
1,607
help-10
64faf14f5a68444d85f4fd2bc4b5c3bf
457,946,966,823,796,740
phymo
03/31/2022 17:05:28
can someone please help me out?
1
0
null
null
null
null
null
1,607
help-10
64faf14f5a68444d85f4fd2bc4b5c3bf
457,946,966,823,796,740
phymo
03/31/2022 17:05:42
https://math.stackexchange.com/questions/3891389/numbers-which-are-their-own-inverse-are-exactly-1-and-p-%E2%88%92-1#:~:text=The%20numbers%20on%20the%20list,exactly%201%20and%20p%E2%88%921 heres the link for reference
1
0
null
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null
null
null
1,607
help-10
64faf14f5a68444d85f4fd2bc4b5c3bf
484,702,191,156,985,860
themateo713
03/31/2022 17:06:51
here it's more specifically to be their own multiplicative inverse in Z\pZ, i.e. x such that x² = 1 [p]
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1
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null
null
1,607
help-10
64faf14f5a68444d85f4fd2bc4b5c3bf
484,702,191,156,985,860
themateo713
03/31/2022 17:07:52
the inverse of x in Z\pZ (i.e. integers modulo p) is y such that xy=1 [p], so x is its own inverse iff y=x, i.e. x²=1 [p]
0
1
null
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null
null
null
1,607
help-10
64faf14f5a68444d85f4fd2bc4b5c3bf
457,946,966,823,796,740
phymo
03/31/2022 17:08:40
ok uhh, I dont understand the notations you are using
1
0
872,024,354,572,103,700
<><><>
9772
<><><>
false
1,607
help-10
64faf14f5a68444d85f4fd2bc4b5c3bf
484,702,191,156,985,860
themateo713
03/31/2022 17:08:53
just forget about the Z\pZ thing
0
1
null
null
null
null
null
1,607
help-10
64faf14f5a68444d85f4fd2bc4b5c3bf
457,946,966,823,796,740
phymo
03/31/2022 17:08:59
ok
1
0
null
null
null
null
null
1,607
help-10
64faf14f5a68444d85f4fd2bc4b5c3bf
457,946,966,823,796,740
phymo
03/31/2022 17:09:10
and here [p] means (mod p) right
1
0
null
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null
null
1,607
help-10
64faf14f5a68444d85f4fd2bc4b5c3bf
484,702,191,156,985,860
themateo713
03/31/2022 17:09:13
let's just say we're working with numbers mod p, that will be simpler
0
1
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null
1,607
help-10
64faf14f5a68444d85f4fd2bc4b5c3bf
457,946,966,823,796,740
phymo
03/31/2022 17:09:20
ok
1
0
null
null
null
null
null
1,607
help-10
64faf14f5a68444d85f4fd2bc4b5c3bf
484,702,191,156,985,860
themateo713
03/31/2022 17:09:52
the definition is still the same though
0
1
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null
null
null
null
1,607
help-10
64faf14f5a68444d85f4fd2bc4b5c3bf
457,946,966,823,796,740
phymo
03/31/2022 17:09:59
hm ok uh
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