Lmst

#Euleridentity

Equation Connects Everything - Terence Tao on Lex Fridman

#euleridentity #beauty #mathematics

Day 24 of ‪Ayliean's @ayliean.bsky.social‬ #MathArtMarch thread Two pairs of #equal #equations: y=sin(x) equals y=x-x³/3!+x⁵/5!-...+x^(2n-1)/(2n-1)! y=cos(x) equals y=1-x²/2!+x⁴-...+x^(2n)/2n! See ALT, please! #mathematics #trigonometry #sine #cosine #Taylorseries #Taylorexpansion #Euleridentity

RE: https://bsky.app/profile/did:plc:enw4w6ihzt4uomkphuxuvczu/post/3lje6cgmacs2u

Visualization of the famous Euler identity with the help of this ingenious toy: https://www.matheretter.de/rechner/gfplot
The screenshot shows the functions f(x)=sin(x), g(x)=x, h(x)=-x³/3!+x, i(x)=x⁵/5!-x³/3!+x, j(x)=-x⁷/7!+x⁵/5!-x³/3! +x, k(x)=x⁹/9!-x⁷/7!+x⁵/5!-x³/3!+x, l(x)=-x¹¹/11!+x⁹/9!-x⁷/7!+x⁵/5!-x³/3!+x, k(x)=x¹³/13!-x¹¹/11!+x⁹/9!-x⁷/7!+x⁵/5!-x³/3!+x

Visualization of the famous Euler identity The screenshot shows the functions f(x)=cos(x), g(x)=-x²/2! +1, h(x)=x⁴/4!-x²/2! +1, i(x)=-x⁶/6!+x⁴/4!-x²/2! +1, j(x)=x⁸/8!+-x⁶/6!+x⁴/4!-x²/2! +1, k(x)=-x¹⁰/10!+x⁸/8!+-x⁶/6!+x⁴/4!-x²/2! +1, l(x)=x¹²/12!-x¹⁰/10!+x⁸/8!+-x⁶/6!+x⁴/4!-x²/2! +1,

Day 13 of #MathArtMarch 13th: #zero e^ipi+1=0 I made this visualization of the famous #Euleridentity with this ingenious toy: www.matheretter.de/rechner/gfplot #sharingisthenewlearning #SharingIsCaring #mathematics #sine #cosine

RE: https://bsky.app/profile/did:plc:enw4w6ihzt4uomkphuxuvczu/post/3lje6cgmacs2u

visualization of the famous Euler identity The screenshot shows the functions f(x)=sin(x), g(x)=x, h(x)=-x³/3!+x, i(x)=x⁵/5!-x³/3!+x, j(x)=-x⁷/7!+x⁵/5!-x³/3! +x, k(x)=x⁹/9!-x⁷/7!+x⁵/5!-x³/3!+x, l(x)=-x¹¹/11!+x⁹/9!-x⁷/7!+x⁵/5!-x³/3!+x, k(x)=x¹³/13!-x¹¹/11!+x⁹/9!-x⁷/7!+x⁵/5!-x³/3!+x

visualization of the famous Euler identity The screenshot shows the functions f(x)=cos(x), g(x)=-x²/2! +1, h(x)=x⁴/4!-x²/2! +1, i(x)=-x⁶/6!+x⁴/4!-x²/2! +1, j(x)=x⁸/8!+-x⁶/6!+x⁴/4!-x²/2! +1, k(x)=-x¹⁰/10!+x⁸/8!+-x⁶/6!+x⁴/4!-x²/2! +1, l(x)=x¹²/12!-x¹⁰/10!+x⁸/8!+-x⁶/6!+x⁴/4!-x²/2! +1,

Client Info

Server: https://mastodon.social

Version: 2025.04

Repository: https://github.com/cyevgeniy/lmst