so /sci/ Is there some proof out there stating that a general

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Anonymous
2016-12-12 09:15:26 Post No. 8534581
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Anonymous 2016-12-12 09:15:26 Post No. 8534581 [Report]

so /sci/

Is there some proof out there stating that a general zero-finding formula using only trig and logs cannot exist? As in, can one find the zeroes of polynomials using only trig and logs, maybe even nested logs and trig?

i've read that abels theorem says no general formula using addition, multiplication, division, subtraction, exponent, or radical. exists for polynomials above the degree 5, but trig isnt addition, multiplication, division, subtraction, exponent, or radical.

i've been told to look into fourier series but i jsut dont know where to start.
i want an exact formula, not estimations. ( though, of course estimations may have to be used when implementing the formula)

Anonymous 2016-12-12 09:17:19 Post No.8534584
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Anonymous 2016-12-12 09:17:19 Post No.8534584 [Report]

>>8534581
>i jsut

Anonymous 2016-12-12 09:23:44 Post No.8534604
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Anonymous 2016-12-12 09:23:44 Post No.8534604 [Report]

>>8534584
thanks for the contribution...

Anonymous 2016-12-12 09:29:14 Post No.8534623
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Anonymous 2016-12-12 09:29:14 Post No.8534623 [Report]

I know your pain, but you do have to realize that some times the answer will never be as pretty as you hoped.

Here's what you were looking for:
https://en.wikipedia.org/wiki/Bring_radical

And all general x^5 + ax^4 +bx^3...=0 equations can be resolved to x^5-x+p=0 (https://en.wikipedia.org/wiki/Bring_radical#Bring.E2.80.93Jerrard_normal_form ), by using https://en.wikipedia.org/wiki/Tschirnhaus_transformation

Anonymous 2016-12-12 09:30:00 Post No.8534624
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Anonymous 2016-12-12 09:30:00 Post No.8534624 [Report]

>>8534584
Autism

Anonymous 2016-12-12 09:44:43 Post No.8534656
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Anonymous 2016-12-12 09:44:43 Post No.8534656 [Report]

>>8534623
I dont mean just quintics, i mean a general formula for any polynomial degree (whole degree)

currently studying so, i cant read it fully.

Anonymous 2016-12-12 09:51:41 Post No.8534670
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Anonymous 2016-12-12 09:51:41 Post No.8534670 [Report]

>>8534656
I really just gave you that as a starter. You could use https://en.wikipedia.org/wiki/Lagrange_inversion_theorem and use a basic taylor series expansion.

Anonymous 2016-12-12 09:57:22 Post No.8534683
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Anonymous 2016-12-12 09:57:22 Post No.8534683 [Report]

>>8534581
The answer is -1/12

I'm aware that Imgur.com will stop allowing adult images since 15th of May. I'm taking actions to backup as much data as possible. Read more on this topic here - https://archived.moe/talk/thread/1694/

I'm aware that Imgur.com will stop allowing adult images since 15th of May. I'm taking actions to backup as much data as possible.
Read more on this topic here - https://archived.moe/talk/thread/1694/