/sci/ - Science & Math » Thread #12785798

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Anonymous Thu 04 Mar 01:52:30 2021 No.12785798 View Reply Original Report

Quoted By: >>12785810 >>12785816 >>12785821 >>12785850 >>12785851 >>12785965 >>12786227 >>12786382 >>12786643 >>12788334 >>12790151 >>12791753 >>12792564 >>12792571

Can you solve for y?

Anonymous

Anonymous Thu 04 Mar 2021 01:55:21 No.12785810 Report

Quoted By:

>>12785798
Yeah, but its a pain in the ass and my trig is rusty

Anonymous

Anonymous Thu 04 Mar 2021 01:56:29 No.12785816 Report

Quoted By: >>12785868

>>12785798
Is transcendental, get fukt freshman don’t make me do ur homework

Anonymous

Anonymous Thu 04 Mar 2021 01:58:07 No.12785821 Report

Quoted By:

>>12785798
and y would i want to do that?

Anonymous

Anonymous Thu 04 Mar 2021 02:04:54 No.12785850 Report

Quoted By: >>12786139 >>12786613 >>12788639

>>12785798
y = x - 1/2 sin(2y)

Anonymous

Anonymous Thu 04 Mar 2021 02:06:00 No.12785851 Report

Quoted By: >>12788639

>>12785798
$y=x-\frac{1}{2}\sin(2y)$

Anonymous

Anonymous Thu 04 Mar 2021 02:07:53 No.12785868 Report

Quoted By: >>12785920 >>12786050 >>12786898 >>12787119

>>12785816
>Is transcendental, get fukt freshman don’t make me do ur homework

I know it's transcendental, but certain type of transcendental equations do have solutions in term of defined functions.

It's not homework. I'm an engineer at a multinational corporation. I've implemented a photographic filter to identify line widths. The filter is s convolution with a disc. When the line width is near the diameter of the disc I get an error. I've been using a linear function to transform back to width, but I'm interested if there's an easy way to get more accurate results.

Anonymous

Anonymous Thu 04 Mar 2021 02:19:19 No.12785920 Report

Quoted By: >>12785957

>>12785868
>do the work I’m getting paid for for me
No.

Anonymous

Anonymous Thu 04 Mar 2021 02:26:26 No.12785957 Report

Quoted By: >>12785991 >>12786062

>>12785920
>>do the work I’m getting paid for for me
>No.

As if you could solve it anyway. There were once very intelligent people who would give me very insightful answers with little to no effort from themselves. You clearly aren't who I'm looking for.

Anonymous

Anonymous Thu 04 Mar 2021 02:28:13 No.12785965 Report

Quoted By:

>>12785798
>tiktok

Anonymous

Anonymous Thu 04 Mar 2021 02:34:43 No.12785991 Report

Quoted By: >>12786022

>>12785957
>do my homework or u r not smart enough
This didn’t work on me in 4th grade and it won’t work now, absolute brainlet. Fuck off

Anonymous

Anonymous Thu 04 Mar 2021 02:44:56 No.12786022 Report

Quoted By: >>12786030 >>12786211

>>12785991
>>do my homework or u r not smart enough

I'm not asking you to do my work. I know you can't. What's 1+1? Did I just ask you to do a bunch of work again? So sorry. There are some people who lurk here who seem my question as 1+1. You are not them

Anonymous

Anonymous Thu 04 Mar 2021 02:47:30 No.12786030 Report

Quoted By:

>>12786022
K good luck finding someone to do your work for you faggot. I’m excited to see you out on the street begging for gibs because you couldn’t keep a job numerically solving transcendental equations

Anonymous

Anonymous Thu 04 Mar 2021 02:55:31 No.12786050 Report

Quoted By: >>12786114

>>12785868
multinational corporations should be choked to death with tariffs fyi

Anonymous

Anonymous Thu 04 Mar 2021 02:59:16 No.12786062 Report

Quoted By:

>>12785957
ok beggar fag go beg somewhere else then

Anonymous

Anonymous Thu 04 Mar 2021 03:03:17 No.12786072 Report

Quoted By: >>12786085 >>12786339

faggot. hint:

$siny cosy = y^2 j_0(y) j_{-1}(y)$

Anonymous

Anonymous Thu 04 Mar 2021 03:07:37 No.12786085 Report

Quoted By: >>12786109

>>12786072
>OP understands Bessel functions
Pearls before swine, anon.

Anonymous

Anonymous Thu 04 Mar 2021 03:17:40 No.12786109 Report

Quoted By: >>12786794

>>12786085
it's like presenting a babe to a virgin. He wouldn't know what to do with it.

Anonymous

Anonymous Thu 04 Mar 2021 03:19:29 No.12786114 Report

Quoted By: >>12788616

>>12786050
No they shouldn't, they should just be taxed for the land and resources they take up (if none, fuck off).

Anonymous

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Anonymous Thu 04 Mar 2021 03:25:56 No.12786139 Report

Quoted By:

>>12785850
Nigga, what?

Anonymous

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Anonymous Thu 04 Mar 2021 03:48:45 No.12786211 Report

Quoted By:

>>12786022
>What's 1+1?
$1 + 1 = 2$
Don't thank me though, it really is no difficulty on my part.
Oh, and you don't have to tell your boss, lol, it's our little secret, my gift to you.
Now go out and profit from this knowledge fren, you deserve it :)

Anonymous

Anonymous Thu 04 Mar 2021 03:53:20 No.12786227 Report

Quoted By: >>12786320 >>12786331 >>12786775 >>12790163

>>12785798
x=Im(1/2e^i2y+iy)
z=e^i2y+2iy
e^z=e^2iy e^(e^i2y)
w=a*e^a
a=W(w)=e^2iy
y=ln(W(e^(z)))/2i

Anonymous

Anonymous Thu 04 Mar 2021 04:14:10 No.12786320 Report

Quoted By:

>>12786227
based complex analfag

Anonymous

Anonymous Thu 04 Mar 2021 04:17:53 No.12786331 Report

Quoted By: >>12786695

>>12786227

This is what I was thinking of. What is the W function called again?

Anonymous

Anonymous Thu 04 Mar 2021 04:19:15 No.12786339 Report

Quoted By: >>12786343

>>12786072

I'm op and I don't see how this is helpful.

Anonymous

Anonymous Thu 04 Mar 2021 04:20:06 No.12786343 Report

Quoted By: >>12786365 >>12786371

>>12786339
if you don't see how it's helpful, then you're clearly too stupid to handle this question. Quit your job and let a real mathfag handle it.

Anonymous

Anonymous Thu 04 Mar 2021 04:25:13 No.12786365 Report

Quoted By:

>>12786343
>if you don't see how it's helpful, then you're clearly too stupid to handle this question. Quit your job and let a real mathfag handle it.

Like I said. I use a linear approximation because the disc is 3 times larger than the line width. It's 99.9% accurate. I'm just curious if a super genius here can get me the last 0.1% with very low computational complexity.

Anonymous

Anonymous Thu 04 Mar 2021 04:26:48 No.12786371 Report

Quoted By:

>>12786343

It's still transcendental. You haven't solved anything.

Anonymous

Anonymous Thu 04 Mar 2021 04:32:36 No.12786382 Report

Quoted By: >>12786624

>>12785798
I'm a university student and this question has me baffled. I have no idea how to solve this. Can someone point me in the right direction?

Anonymous

Anonymous Thu 04 Mar 2021 05:49:28 No.12786613 Report

Quoted By:

>>12785850

This is the best answer so far. Just iterate a few times and you get the eigenvalue.

Anonymous

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Anonymous Thu 04 Mar 2021 05:53:01 No.12786624 Report

Quoted By: >>12786710

>>12786382
Not all equations can be solved analytically. Also OP is a mouthbreather

Anonymous

Anonymous Thu 04 Mar 2021 06:00:11 No.12786643 Report

Quoted By:

>>12785798
arcsin(2x)/2/2=y

Anonymous

Anonymous Thu 04 Mar 2021 06:23:36 No.12786695 Report

Quoted By:

>>12786331
Lambert W function or product log
Its the inverse of xe^x

Anonymous

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Anonymous Thu 04 Mar 2021 06:31:33 No.12786710 Report

Quoted By: >>12788483 >>12788548 >>12788550

>>12786624
Hmm since I'm a dumb college freshman I decided to graph it as a function of y and pic related is what I got. How do I solve this equation without a calculator?

Anonymous

Anonymous Thu 04 Mar 2021 06:57:26 No.12786775 Report

Quoted By:

>>12786227
Wait how does this solve for y in terms of x? The final answer is y in terms of z, whose definition is independent of x.
z = e^i2y + i2y, but x = 2Im(z). I'm a bit confused here

Anonymous

Anonymous Thu 04 Mar 2021 07:05:00 No.12786794 Report

Quoted By:

>>12786109
put the thing the hole. doesn't really matter which hole as long as I get my fill.

Anonymous

Anonymous Thu 04 Mar 2021 07:38:51 No.12786866 Report

Quoted By:

you can use an inverse trig function for small values.

Anonymous

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Anonymous Thu 04 Mar 2021 07:52:32 No.12786898 Report

Quoted By: >>12788271

>>12785868
uze a zeries ezpanzion if you're zufficienzly cloze to ze zingularitzy

Anonymous

Anonymous Thu 04 Mar 2021 08:52:04 No.12787119 Report

Quoted By:

>>12785868
>using a linear function to transform back to width
surely you can come with a smart alternative to this

Anonymous

Anonymous Thu 04 Mar 2021 15:13:09 No.12788271 Report

Quoted By: >>12791210

>>12786898
>uze a zeries ezpanzion if you're zufficienzly cloze to ze zingularitzy

There's no singularity

>using a linear function to transform back to width
>surely you can come with a smart alternative to this

It needs to work on a billion nimbers in a few seconds. I've done a fourier series, but it wasn't converging fast enough to be useful

Anonymous

Anonymous Thu 04 Mar 2021 15:33:03 No.12788334 Report

Quoted By:

>>12785798
Taylor it and calculate the zeros?

Anonymous

Anonymous Thu 04 Mar 2021 16:11:31 No.12788483 Report

Quoted By:

>>12786710
That would be a good example of when you can use my favorite technique of finding solutions, "just look at the graph"

Anonymous

Anonymous Thu 04 Mar 2021 16:30:02 No.12788548 Report

Quoted By: >>12788550

>>12786710
Graph the right hand side and see where they intersect. Those are solutions.

Anonymous

Anonymous Thu 04 Mar 2021 16:31:03 No.12788550 Report

Quoted By:

>>12786710
Err. Left hand side. >>12788548

Anonymous

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Anonymous Thu 04 Mar 2021 16:37:05 No.12788570 Report

Quoted By: >>12791395

is that it? (pic related)

Anonymous

Anonymous Thu 04 Mar 2021 16:48:52 No.12788616 Report

Quoted By:

>>12786114
If a multinational business only makes a profit by arbitraging labor and environmental laws, then they should be tariffed out the door by any country that values its own sovereignty. If they provide anything of actual value that is generated multinationally for reasons unrelated to legal arbitrage, then they should be welcomed.

Anonymous

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Anonymous Thu 04 Mar 2021 16:55:45 No.12788639 Report

Quoted By:

>>12785850
>>12785851

Anonymous

Anonymous Thu 04 Mar 2021 17:16:08 No.12788712 Report

Quoted By: >>12789753 >>12789760 >>12789767

Iterate a few times the equation:

$y_{n+1} = y_n - \dfrac{\frac{1}{2}\sin(2y_n)+y_n-x}{2\cos^2(y_n)}$

Start with $y_{0} = x$
To get a close approximation as:

$y \approx x - \dfrac{\sin(2x)}{4\cos^2(x)}$

>t. engineer

Anonymous

Anonymous Thu 04 Mar 2021 21:27:32 No.12789753 Report

Quoted By: >>12790147

>>12788712
>approximation
Fuck off, exact answers or gtfo

Anonymous

Anonymous Thu 04 Mar 2021 21:29:15 No.12789760 Report

Quoted By:

>>12788712
what a gay approximation. sin(y) ~ y - y^3/6 is a far better approximation.

Anonymous

Anonymous Thu 04 Mar 2021 21:30:18 No.12789767 Report

Quoted By: >>12789833

>>12788712
>he cant even simplify
$y \approx x - \frac{\tan x}{2} [/eqn\$

Anonymous

Anonymous Thu 04 Mar 2021 21:40:43 No.12789833 Report

Quoted By:

>>12789767
You can neither tex nor simplify

Anonymous

Anonymous Thu 04 Mar 2021 22:57:57 No.12790147 Report

Quoted By:

>>12789753
you can iterate to arbitrary precision, retard

Anonymous

Anonymous Thu 04 Mar 2021 22:58:39 No.12790151 Report

Quoted By:

>>12785798
Arcsin(x)=-2y+y
-arcsin(x)=y
Yw

Anonymous

Anonymous Thu 04 Mar 2021 23:00:50 No.12790163 Report

Quoted By: >>12791506

>>12786227
complex analysis once again proving its superiority

Anonymous

Anonymous Fri 05 Mar 2021 03:50:00 No.12791210 Report

Quoted By:

>>12788271
>There's no singularity
any point with special behaviour is a singularity you numpty

Anonymous

Anonymous Fri 05 Mar 2021 03:51:12 No.12791218 Report

Quoted By:

Yeah don't feel like it though

Anonymous

Anonymous Fri 05 Mar 2021 04:39:08 No.12791395 Report

Quoted By:

>>12788570
Test it. Why do you need me to tell you if you’ve found the answer? Numerically solve the zeroes and see if they match with the graph.

Anonymous

Anonymous Fri 05 Mar 2021 05:39:24 No.12791506 Report

Quoted By:

>>12790163
Why introduce another transcendental function? Just use a Taylor polynomial for sine and extract roots numerically.

Anonymous

Anonymous Fri 05 Mar 2021 07:15:06 No.12791753 Report

Quoted By:

>>12785798
it's a nondecreasing function since its derivative is 1+cos 2x which is always nonnegative, so just do the simplest iterative algorithm to approximate the solution

Anonymous

Anonymous Fri 05 Mar 2021 13:41:11 No.12792564 Report

Quoted By:

>>12785798
just solve for lim(2y) goes to 0, divide the equation by 2y, use sin(2y)/(2y)=1 and call it a day.

Anonymous

Anonymous Fri 05 Mar 2021 13:42:56 No.12792571 Report

Quoted By:

>>12785798
> literally types this into WolframAlpha to help solve OP's homework

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