List questions from exponential-function

Published on 17 Apr 2026 - 13:35

35

Views

Looking for function to dominate $\Phi_\varepsilon = \frac{e^{-\frac{(x/\varepsilon)^2}{2}}}{\varepsilon}$.

Published on 11 Apr 2026 - 18:20

143

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Recalling the arrival time of an exponentially distributed random variable

Published on 10 Apr 2026 - 5:03

86

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Second Order ODE and integral of exponential divided by a polynomial

Published on 16 Apr 2026 - 13:37

92

Views

Is is possible to condense a formula to calculate the number of failures from a failure rate per year?

Published on 10 Apr 2026 - 17:52

52

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Chapter 18 Spivak's Calculus: Why is this true? If $x$ is rational, then $a^x=(e^{\log a})^x=e^{x \log a}$

Published on 15 Apr 2026 - 17:16

515

Views

Solving for $x$, $e^x=x!$

Published on 15 Apr 2026 - 11:27

111

Views

Should discrete and continuous time models give the same results?

Published on 09 Apr 2026 - 15:11

66

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Given $f(x+y) = f(x)\cdot f(y)$, prove or disprove $(f(x))^\lambda = f(\lambda x)$ for $\lambda \notin \mathbb{Q}$

Published on 17 Apr 2026 - 6:34

35

Views

Complex exponential function and mapping

Published on 12 Apr 2026 - 6:15

67

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Prove that $16^x + 81^x + 625^x = 60^x + 90^x + 150^x$ has unique solution $x=0$

Published on 16 Apr 2026 - 18:49

54

Views

Mahler Series of the Gamma function

Published on 14 Apr 2026 - 5:46

128

Views

What is meant by "increases exponentially with time"?

Published on 09 Apr 2026 - 8:17

125

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Approximation of $\frac1x\sum_{k=0}^n\frac{e^{-k^2x}-e^{-(k+1)^2x}}{2k+1}$

Published on 15 Apr 2026 - 4:14

78

Views

Difficult limit $\lim_{x\to 0}f(x)=^?e$

Published on 13 Apr 2026 - 1:47

List Question

Number of Residues of $x^n \pmod{p}$

Looking for function to dominate $\Phi_\varepsilon = \frac{e^{-\frac{(x/\varepsilon)^2}{2}}}{\varepsilon}$.

Recalling the arrival time of an exponentially distributed random variable

Second Order ODE and integral of exponential divided by a polynomial

Is is possible to condense a formula to calculate the number of failures from a failure rate per year?

Chapter 18 Spivak's Calculus: Why is this true? If $x$ is rational, then $a^x=(e^{\log a})^x=e^{x \log a}$

Solving for $x$, $e^x=x!$

Should discrete and continuous time models give the same results?

Given $f(x+y) = f(x)\cdot f(y)$, prove or disprove $(f(x))^\lambda = f(\lambda x)$ for $\lambda \notin \mathbb{Q}$

Complex exponential function and mapping

Prove that $16^x + 81^x + 625^x = 60^x + 90^x + 150^x$ has unique solution $x=0$

Mahler Series of the Gamma function

What is meant by "increases exponentially with time"?

Approximation of $\frac1x\sum_{k=0}^n\frac{e^{-k^2x}-e^{-(k+1)^2x}}{2k+1}$

Difficult limit $\lim_{x\to 0}f(x)=^?e$

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