List questions from exponential-function

Published on 15 Apr 2026 - 14:26

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Generalisation of Lambert W function?

Published on 14 Apr 2026 - 2:44

71

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$ e^{At}$ for $A = B^{-1} \lvert \cdots \rvert B $

Published on 16 Apr 2026 - 6:43

1.4k

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Why is $2\pi i \neq 0?$

Published on 16 Apr 2026 - 12:33

5.5k

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If $f'(x) = -f(x)$ and $f(1)=1$, then what is $f(x)$?

Published on 16 Apr 2026 - 11:48

61

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calculus and exponential functions

Published on 10 Apr 2026 - 22:07

145

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Combinatorics of the Zeta function of a variety

Published on 09 Apr 2026 - 18:11

3.4k

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Can you raise $\pi$ to a real power to make it rational?

Published on 17 Apr 2026 - 5:15

134

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Inverse function of product of exponential matrices

Published on 15 Apr 2026 - 15:04

215

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Exponential Growth, half-life time

Published on 13 Apr 2026 - 1:06

98

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Do we really know the value of expressions with irrational powers?

Published on 12 Apr 2026 - 14:06

159

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Location of roots of certain transcendental equations.

Published on 15 Apr 2026 - 3:40

309

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A binomial inequality with factorial fractions: $\left(1+\frac{1}{n}\right)^n<\frac{1}{0!}+\frac{1}{1!}+\frac{1}{2!}+...+\frac{1}{n!}$

Published on 17 Apr 2026 - 4:14

13.9k

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How to solve $e^{ix} = i$

Published on 09 Apr 2026 - 12:50

1.2k

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Integral $\frac{\sqrt{e}}{\sqrt{2\pi}}\int^\infty_{-\infty}{e^{-1/2(x-1)^2}dx}$ gives $\sqrt{e}$. How?

Published on 15 Apr 2026 - 19:01

List Question

How does $e^0 = 1$ if you define $e^x = \sum_{n = 0}^\infty x^n/n!$

Generalisation of Lambert W function?

$ e^{At}$ for $A = B^{-1} \lvert \cdots \rvert B $

Why is $2\pi i \neq 0?$

If $f'(x) = -f(x)$ and $f(1)=1$, then what is $f(x)$?

calculus and exponential functions

Combinatorics of the Zeta function of a variety

Can you raise $\pi$ to a real power to make it rational?

Inverse function of product of exponential matrices

Exponential Growth, half-life time

Do we really know the value of expressions with irrational powers?

Location of roots of certain transcendental equations.

A binomial inequality with factorial fractions: $\left(1+\frac{1}{n}\right)^n<\frac{1}{0!}+\frac{1}{1!}+\frac{1}{2!}+...+\frac{1}{n!}$

How to solve $e^{ix} = i$

Integral $\frac{\sqrt{e}}{\sqrt{2\pi}}\int^\infty_{-\infty}{e^{-1/2(x-1)^2}dx}$ gives $\sqrt{e}$. How?

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