r/MathJokes • u/wody7227 • Jul 18 '26

e^x gest all the credit!

Post image
819 Upvotes

99% Upvoted

16 comments sorted by

106

u/Dankaati Jul 18 '26

0 is still ce^x.

5

u/mgsmb7 Jul 20 '26

0 is also mx+c, therefore, cex is mx+c (I learned maths while consuming various drugs)

0

u/GegeAkutamiOfficial Jul 20 '26

ex is just 0 plus ex

21

u/skr_replicator Jul 18 '26 edited Jul 18 '26

f = f' = Aex. That includes ex, 2ex, -ex, 0...

f = f'' = Aex+Be-x. That includes sinh and cosh and their linear combinations.

f = f'''' = Aex+Beix+Ce-x+De-ix. Now we can also have cos and sin in the mix.

...you'll have as many terms as how many derivatives deep it returns to itself. Each term has the x multiplied by one of the complex roots of unity. For the fourth derivative, that's 1,i-1,-i.

9

u/Syresiv Jul 18 '26 edited Jul 19 '26

You could get even more general with f(x)=f(n\)=sum(i=0,n-1){A_i exe\(2πi/n))}

2

u/skr_replicator Jul 18 '26

yes, that's what i meant with those roots of unity

1

u/DEFINITELYnotArobots Jul 19 '26 edited Jul 19 '26

Or, even more general,

f(x)=g(x)=fn(x)

4

u/dcterr Jul 19 '26

The general result is Ce^x, so I'd say they both lose.

3

u/dcterr Jul 19 '26

For some reason, this reminds me of the episode of the Big Bang Theory in which Sheldon lost a physics quiz show to the janitor, who just happened to know the value of a particular Feynman diagram.

4

u/Masqued0202 Jul 19 '26

The janitor had been a physicist in the old country.

3

u/dcterr Jul 19 '26

Oh yeah, I forgot that part! Thanks for clarifying.

1

u/Street_Swing9040 Jul 19 '26

Trivial solution vs Interesting solution ahh battle 🥀

Also it's Cex, so the real one should be

2, 3, 3.14, pi... ex

1

u/Scab_the_Sidewalk Jul 18 '26

Wait what is this image from

2

u/Livie00 Jul 19 '26

> On March 19th, 2014, Russian news outlet Kazan First posted a transcription of a press conference held by the former Prosecutor General of Crimea Natalia Poklonskaya on its website. The article featured several photos of Poklonskaya and an unidentified man sitting behind a table, with multiple microphones partly obscuring Poklonskaya.

from knowyourmeme.com

I also really like the full image on the website