@math.visualizations: Visualizing Euler's formula provides a stunning geometric interpretation of what is widely considered the most beautiful equation in all of mathematics, seamlessly linking complex exponential growth to periodic trigonometric functions. When plotted on a two-dimensional complex coordinate plane, the formula elegantly demonstrates that raising the mathematical constant base of the natural logarithm to an imaginary power traces out a perfect circle, effectively bridging the gap between exponential algebra and circular rotation. This profound visual insight is absolutely indispensable for electrical engineers and quantum physicists, as it drastically simplifies the analysis of alternating electrical currents, wave propagation, and oscillating audio signal processing. #math #mathematics #manim #mathisfun #mathtok

shpend.budalla🥁 :

best formula no room for debate

matthjwz365 :

That's curl of magnetism with an electromagnetic wave propagating through freespace(light) simulated with Euler's formula which connected trig with infinitely compounding interest formula.

T_in_Sydney :

Euler's identity is my favourite

TeMl1Fe :

Imagine explaining to a non-math person that e^ipi + 1 = 0 is basically peak poetry

tickle :

This visual is so goodd

fallen angel :

3-phase generator ahh formula

Hrico! :

The most beautiful formula in the world.

Kevin Gonzales :

Sorprendentemente tiene la misma forma que la dispersion de las ondas electromagneticas como la luz. 👍😁

Vibewith.bln :

Störe meine Kreise nicht

Philium :

Donc on obtient une hélice…

Marcin w :

1 million dollars is waitibg

BiDolf32 :

euler el máximo en inteligencia 🥰 es hermoso

valorchia :

Euler's equation & the wave propagation of electromagnetic waves

Study Math :

Beautiful.

dru91ce :

она описывает электромагнитную волну

Brook Maths :

Thanksss

Nik :

geometrie je nádherná 👍😁

Clint :

como es posible 😳

Mișu :

💠Stalcrafter💠 :

Похоже на круговую порализацию

fukuda :

physics

T4ZZ :

Perfect

Vanu Mark 🏝️ :

👍👍π = C/D • C = Chu vi của hình tròn (Circumference) • D = Đường kính của hình tròn (Diameter) Vậy π = C/D chính là định nghĩa cơ bản và cổ điển nhất của số π. 🏝️🏝️

pehermon :

Tf is going on

Kamal :

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