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Question Corner -- Why is e^(pi*i) = -1?
Question Corner -- Why is e^(pi*i) = -1?

Basel problem - Wikipedia
Basel problem - Wikipedia

2 Pi or Not 2 Pi?—Wolfram Blog
2 Pi or Not 2 Pi?—Wolfram Blog

Gelfond's constant - Wikipedia
Gelfond's constant - Wikipedia

i^i = e^(-π/2) | Euler's Identity extension - YouTube
i^i = e^(-π/2) | Euler's Identity extension - YouTube

calculus - $\int_{-\infty}^{\infty} \frac{1}{2\pi} \exp\{ -\frac{1}{2}  ((y-x)^2 + x^2) \} dx$ - Mathematics Stack Exchange
calculus - $\int_{-\infty}^{\infty} \frac{1}{2\pi} \exp\{ -\frac{1}{2} ((y-x)^2 + x^2) \} dx$ - Mathematics Stack Exchange

Euler's identity - Wikipedia
Euler's identity - Wikipedia

e to the pi i = -1 paradox - YouTube
e to the pi i = -1 paradox - YouTube

ASMR - Mathematical proof " i^i= e^(-π/2) " #2 - YouTube
ASMR - Mathematical proof " i^i= e^(-π/2) " #2 - YouTube

calculus - How do I show $e^{2\pi ikx/(b-a)}$ is orthogonal on $(a,b)$ -  Mathematics Stack Exchange
calculus - How do I show $e^{2\pi ikx/(b-a)}$ is orthogonal on $(a,b)$ - Mathematics Stack Exchange

e to the pi i, a nontraditional take (old version) - YouTube
e to the pi i, a nontraditional take (old version) - YouTube

Integral of Exp(-x^2) - (Gaussian Integral Trick) - YouTube
Integral of Exp(-x^2) - (Gaussian Integral Trick) - YouTube

Solved Evaluate these exponential functions. a) ejπ e) | Chegg.com
Solved Evaluate these exponential functions. a) ejπ e) | Chegg.com

Solved E^j pi = cos pi + j sin pi = -1 + 0 = -1 e^j pi = 1 < | Chegg.com
Solved E^j pi = cos pi + j sin pi = -1 + 0 = -1 e^j pi = 1 < | Chegg.com

Why does [math]e^{iπ/2} = i[/math]? - Quora
Why does [math]e^{iπ/2} = i[/math]? - Quora

Solved Explain: x(t) = 3 + 5cos(20 pi t - pi/2) + 7cos(50 | Chegg.com
Solved Explain: x(t) = 3 + 5cos(20 pi t - pi/2) + 7cos(50 | Chegg.com

3. Complex functions – How does it work? Automatics, computers, etc…
3. Complex functions – How does it work? Automatics, computers, etc…

e^{2pi}-e^pi
e^{2pi}-e^pi

A (better) Math Challenge | Talk Tennis
A (better) Math Challenge | Talk Tennis

solution verification - Doubt on a fake proof of $e^{i\pi}=-1$. -  Mathematics Stack Exchange
solution verification - Doubt on a fake proof of $e^{i\pi}=-1$. - Mathematics Stack Exchange

e^(iπ) in 3.14 minutes, using dynamics | DE5 - YouTube
e^(iπ) in 3.14 minutes, using dynamics | DE5 - YouTube

Why does [math]e^{iπ/2} = i[/math]? - Quora
Why does [math]e^{iπ/2} = i[/math]? - Quora

Solved 1. Show that (a) | Chegg.com
Solved 1. Show that (a) | Chegg.com

functional analysis - Show that the exponentials $1, e^{2\pi ix}, \dots , e ^{2\pi ikx}, \dots$ form the basis for trigonometric polynomials. -  Mathematics Stack Exchange
functional analysis - Show that the exponentials $1, e^{2\pi ix}, \dots , e ^{2\pi ikx}, \dots$ form the basis for trigonometric polynomials. - Mathematics Stack Exchange

If a = e^(2pi i)/7 and f(x) = A0 +sum(k=1)^20 Ak x^k, then the value
If a = e^(2pi i)/7 and f(x) = A0 +sum(k=1)^20 Ak x^k, then the value