#Euler's identity

[aedislumen]

Another question because why not..

Your favourite math equation?

I admit that there have been a lot of equations I liked so much in the past that I wanted to have them tattooed (Shroedinger's, Dirac's, Maxwell's etc).

While my fondness for them has not vanished, it's only Euler's identity that I might consider to get on my skin (I don't think I will ever do it, because I don't like the idea of having ink under my epidermis...)

Despite the name, the identity isn't present in any of Euler's works, in fact, its name derives from the fact that it comes from a special case of Euler's formula, that of x = π).

Euler's formula:

If θ = π, one gets the identity:

I like it a lot because it ties together the most important constants and numbers related to mathematics:

e is the Napier's constant (aka Euler's number), an irrational number, which is present in logarithm and exponential functions. It's fundamental to study growth and decrease in physical processes. it's often approximates as 2,7.

i is the imaginary unit, defined as such: i^2 = -1. Its formulation led to the introduction of imaginary numbers, that allowed some "impossible" equation to be solved. (Note that they are solvable in the domain of imaginary numbers, not in that of real ones)

π is the ratio between the circumference and the diameter. Like Napier's constant, it's an irrational one and is present pretty much everywhere, both in math and the real world.

1 is the neutral element for the operation of multiplication, meaning that any number multiplied by 1 gives back the number.

0 is the neutral element for the operation of addition: a number plus 0 gives as result that number. It's also used to define negative numbers.

[insanecrazyfog]

Euler's identity-chan + E=mc2-chan

[knockout1207]

≡にeを当てはめて角が無くなれば良いのに

ユトレヒトさんのサウンドディレクターであるAnonimity.さんがe(Napier)さんだったら良いのに。

UTR≡CHT → UTReCHT

そうすればオイラーの等式を使って、1と♾️の間のn角形(円)を作れるのに。

◯ハレ

[snidbert]

this beautiful equation contains the six most important constants in mathematics

[i-iii-iii-vii]

[minseas]

made some gijinkas of these goobers

[kuroharukawada]

The new math freaks are here! /j

[river-gale]

STOP naming things after euler. i have nothing but respect and admiration for leonhard euler and his contributions to the beautiful field of mathematics but TOO MANY THINGS ARE NAMED AFTER HIM. please. enough. it's getting so confusing

[oysterie]

big fan of the mathematical beauty wiki page tab 🙂‍↕️🙂‍↕️

[sloppypears-ash-sg]

Pi Day 2025 (ft. Pi and her posse)

Threw together a bunch of stuff and made this! (Imaginary Number design is by Random Stuff on YT)

[flowerbarrel-art]

Baby Dark and Euler.

And I had to put bows on both of them of course.

[scramble-crossing]

What do you mean it's pronounced oil-er

[pleuvoire]

my mathposting era of earlier this year has kind of died down but i still need to get around to making that “math is fun and you can too” masterpost. though first i want to read some more books about math for laypeople that i can put on the list

[entropicblackhole]

I have a feeling expressing Euler's identity as a summation isn't correct here, but if it is, then this is correct!

Euler my beloved<3

[oidingus]

Inspired by Dr. Po-Shen Loh explanation of Euler’s identity. https://youtu.be/IUTGFQpKaPU?si=CgfuZ7vuyzFR21wX