/sci/ - Science & Math » Thread #12576431

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Anonymous Wed 13 Jan 13:29:05 2021 No.12576431 View Reply Original Report

Quoted By: >>12576444 >>12576542 >>12577739 >>12578213 >>12578788

Prove this, /sci/

Anonymous

Anonymous Wed 13 Jan 2021 13:32:53 No.12576444 Report

Quoted By: >>12576445

>>12576431
you can't

Anonymous

Anonymous Wed 13 Jan 2021 13:33:37 No.12576445 Report

Quoted By: >>12576447

>>12576444
Try

Anonymous

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Anonymous Wed 13 Jan 2021 13:34:00 No.12576447 Report

Quoted By: >>12577226 >>12581251

>>12576445
no

Anonymous

Anonymous Wed 13 Jan 2021 14:14:44 No.12576542 Report

Quoted By:

>>12576431
Just a trivial application of Tai's method.

Anonymous

Anonymous Wed 13 Jan 2021 18:34:58 No.12577226 Report

Quoted By: >>12580153

>>12576447
Yes

Anonymous

Anonymous Wed 13 Jan 2021 18:52:14 No.12577315 Report

Quoted By: >>12577467

Prove what? That the integral on the left is approximately the value on the right?

There's nothing to prove, it's just numeric calculation

Anonymous

Anonymous Wed 13 Jan 2021 19:23:16 No.12577467 Report

Quoted By: >>12580171 >>12582001

>>12577315
A numeric computation is a proof, dear retard poster.

Anonymous

Anonymous Wed 13 Jan 2021 20:28:27 No.12577739 Report

Quoted By:

>>12576431
Let the primitive of sinx^-1!'s be G(X), now let's assume that G(1) - G(0) = 1,05911593497556... done.

Anonymous

Anonymous Wed 13 Jan 2021 22:01:06 No.12578213 Report

Quoted By:

>>12576431
Proving it essentially means solving it, yeah?

Anonymous

Anonymous Wed 13 Jan 2021 22:33:46 No.12578357 Report

Quoted By: >>12580175 >>12580204 >>12581259

you can't take factorials of non integers you retard

Anonymous

Anonymous Thu 14 Jan 2021 00:31:27 No.12578788 Report

Quoted By: >>12578862

>>12576431
Okay, hold on...

How is the factorial of a function possible?
I know the gamma function can handle any number
but the gamma integral for the inverse sine
is gonna be ridiculously difficult.

Anonymous

Anonymous Thu 14 Jan 2021 00:54:03 No.12578862 Report

Quoted By: >>12580149

>>12578788
Pretend asin(x) is just a variable, say u. Since du/dx = 1/sqrt(1-x^2), look, you now have the integral of sqrt(1-x^2)du/gamma(u). Since x = sin(u), this next becomes cos(u)du/gamma(u). That's just u-substitution. Integration by parts comes next.

Anonymous

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Anonymous Thu 14 Jan 2021 09:19:57 No.12580149 Report

Quoted By: >>12581838

>>12578862
So far, so good with what I have.
The integration by parts appears a bit tricky
for me, though...

Anonymous

Anonymous Thu 14 Jan 2021 09:21:56 No.12580153 Report

Quoted By:

>>12577226
Maybe?

Anonymous

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Anonymous Thu 14 Jan 2021 09:36:27 No.12580171 Report

Quoted By:

>>12577467

Anonymous

Anonymous Thu 14 Jan 2021 09:40:48 No.12580175 Report

Quoted By:

>>12578357
Probably means gamma function applied appropriately

Anonymous

Anonymous Thu 14 Jan 2021 09:53:32 No.12580204 Report

Quoted By: >>12581272

>>12578357
high school level mathematician spotted right here.

Anonymous

Anonymous Thu 14 Jan 2021 17:34:24 No.12581251 Report

Quoted By:

>>12576447
Yes

Anonymous

Anonymous Thu 14 Jan 2021 17:35:54 No.12581259 Report

Quoted By:

>>12578357
yes, with analytical continuation

Anonymous

Anonymous Thu 14 Jan 2021 17:37:19 No.12581272 Report

Quoted By:

>>12580204
You are obviously not high school level. At what level would you like it explained to you? 4'th grade elementary?

Anonymous

Anonymous Thu 14 Jan 2021 20:20:26 No.12581838 Report

Quoted By:

>>12580149
Is this derivation even good so far?
Where to go from there?

Anonymous

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Anonymous Thu 14 Jan 2021 21:05:22 No.12582001 Report

Quoted By:

>>12577467
What so were supposed to use numerical methods to find the numeric value. Ok let me just plug it into a calculator that does it for me. Here you go. Its proven.
Idiot.

Anonymous

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Anonymous Thu 14 Jan 2021 21:32:03 No.12582104 Report

Quoted By: >>12582191 >>12582461 >>12582551

what a pretty graph
I wish this function could be continued

Anonymous

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Anonymous Thu 14 Jan 2021 21:53:54 No.12582191 Report

Quoted By: >>12582334

>>12582104
don't know if it's actually periodic but this is a good start at least

Anonymous

Anonymous Thu 14 Jan 2021 22:32:09 No.12582334 Report

Quoted By:

>>12582191
Why would you think its periodic?
arcsin(x) can be extended to the imaginary plane. because sin(x)=-isinh(ix), and making arcsin(x)= -i*ln(iy+sqrt(1-y^2))

Anonymous

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Anonymous Thu 14 Jan 2021 23:03:58 No.12582461 Report

Quoted By:

>>12582104
Heres the graph of the real component from x>-1.
x<-1 is a total pain in the ass

Anonymous

Anonymous Thu 14 Jan 2021 23:08:49 No.12582474 Report

Quoted By:

1. draw graph
2. fill in graph
3. count pixels
Done.

Doing a basic fucking calculation within an acceptable error-bar is not a "proof" and, guess what faggot, it doesn't have to be.

Anonymous

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Anonymous Thu 14 Jan 2021 23:25:56 No.12582551 Report

Quoted By:

>>12582104
Heres the full graph of the positive component
https://www.desmos.com/calculator/avffo49c8v
make the upper bound on the integrals larger for more accuracy.

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