Unique Decomposition of a Function into the sum of an odd and even function [ Papa Flammy's V2 ]

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Let us proof little statement today! It's quite an important identity so keep it in mind mah bois! :)

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[sansamman]

YES. I'm different 😎😎👹👹
BTW:
When I first watched this video ( V. 1) I didn't understand a word, but I keeped watching your videos because .

[michaldvorak]

Little counter-intuitive here's my idea: Suppose f(x)=e(x)+o(x) with o(x) being odd function and e(x) even. We also have f(-x)=e(-x)+o(-x)=e(x)-o(x). Summing both equations yield solution for e(x), subtracting one from another gives solution for o(x). Anyways, well done papa Flammy, love u <3

[duncanw]

This is honestly a surprising result to me... the fact that it holds for functions neither even or odd is interesting.

[dalitas]

Idea: strip maths
Do a stream where you strip a piece of clothing for each maths problem you couldn't solve

[itays]

The same goes to prove that any matrix can be expressed as a sum of a symmetric and an anti-symmetric matrices

[NBens]

When you’re taking calculus next year and barely understand some parts but u keep watching cuz this channel is amazing

[dako]

You gotta be able to do some sort of cool integration with this boi

[restitutororbis]

A wonderful version 2 to a great technique to use on symmetric bois, thanks papa.

[viajerodeltiempo]

Yeah, impressive once again. I was about to ask you about the exponential case, but you have explained it wonderfully lad xD

[ariusmaximilian]

thank u man this helped me with my hmw!

[duncanw]

I'm gonna be a better differential boi after this....

[m_yt]

bin grad so glücklich dass ich deinen channel per zufall entdeckt hab BRUDI

[ggdobbers]

yo papa flammy, vielen dank für alles dass du machst. Ich habe gerade dein channel gefunden und es ist toll! Ich studiere die beiden deutsch und mathematik an der uni und deine kontent hilft mir wirklich viel mit meiner studien! Ich hoffe von dir mehr videos zu sehen und es tut mir leid für mein scheiße deutsch xD

[Rivenbourn]

Could you show some examples of doing this but with polynomials/other functions please??

[Ramimelene]

Papa, great love from a physics student from Greece. Keep up the good work, don't let anything stop you

[mrpabloskyoskosky]

Thank you so much, you've saved my life!!

[holyshit]

Can be used for calculating integrals
Expanding generating functions with Cauchy product (vide exponential generating function of Hermite polynomials)

[harmansahani]

Hey, I commented fresh toadwalker on his latest video. Eks deeee.

[pedronogarolli]

Show some aplication someday. Nice remake papa flammy.

[lionelinx]

Nice, never saw this identity before your other video on that integral where u threw it in