Question

finding $a,b$ such that the equation $\frac{a}{x} = \cosh{\frac{b}{x}}$ only has one solution

score 65 · Answer 1 · 2026-03-27 03:41:14

65

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finding $a,b$ such that the equation $\frac{a}{x} = \cosh{\frac{b}{x}}$ only has one solution

Published on 27 Mar 2026 - 3:41

score 35 · Answer 2 · 2026-03-25 20:07:30

35

Views

Approximate inverse Mellin transform

Published on 25 Mar 2026 - 20:07

score 82 · Answer 3 · 2024-02-01 23:09:41

82

Views

Approximation of $(1 - 1/n)^m$ when $m$ depends on $n$

Published on 01 Feb 2024 - 23:09

score 50 · Answer 4 · 2024-02-05 12:58:43

50

Views

Question about the asymptotic expansion of the Exponential Integral $\int_z^\infty \frac{e^{-x}}{x}dx$: using Taylor expansion on the infinite domain

Published on 05 Feb 2024 - 12:58

score 192 · Answer 5 · 2024-02-06 12:42:06

192

Views

Find limit: $\lim\limits_{n \rightarrow \infty} \left( \cos\frac an \right)^n$

Published on 06 Feb 2024 - 12:42

score 66 · Answer 6 · 2024-02-06 22:18:44

66

Views

Why does $y = \frac{2A\sin(x\pi \ell)}{\pi^2 \ell (1-\ell) x^2}$ simplify to $y=c/x$ as $\ell$ approaches $0$?

Published on 06 Feb 2024 - 22:18

score 97 · Answer 7 · 2024-02-08 10:45:54

97

Views

Integral of a product of the normal pdf with one over sum of exponents

Published on 08 Feb 2024 - 10:45

score 41 · Answer 8 · 2026-03-29 22:26:22

41

Views

Analyzing an Integral Involving a Complex Function with Symmetry Properties: approximation or simplification

Published on 29 Mar 2026 - 22:26

score 35 · Answer 9 · 2026-04-03 00:22:13

35

Views

"Nice" form/bounds for $\ln\prod_{i=1}^n \left(1 + \frac{x_i^2}{n}\right)$

Published on 03 Apr 2026 - 0:22

score 117 · Answer 10 · 2024-02-09 11:43:14

117

Views

Approximating $(\log n)^n$ using Big O notation

Published on 09 Feb 2024 - 11:43

score 71 · Answer 11 · 2026-03-31 20:24:44

71

Views

Pade approximation

Published on 31 Mar 2026 - 20:24

score 61 · Answer 12 · 2024-02-09 15:26:28

61

Views

Reduction from a Chebyshev\minimax approximation to linear programming to find solution vector

Published on 09 Feb 2024 - 15:26

score 119 · Answer 13 · 2026-04-03 01:44:15

119

Views

Upper and lower bounds for $x/\ln x$

Published on 03 Apr 2026 - 1:44

score 30 · Answer 14 · 2024-02-11 23:01:11

30

Views

Can this Non-Linear Residual Function, $R(x)=((x+1)^3-1)^{1/3}-(x+1)$, be expressed exactly using an Infinite Series or Polynomial Function in $x$?

Published on 11 Feb 2024 - 23:01

score 53 · Answer 15 · 2026-02-23 12:24:17

53

Views

Approximate solution of the following integral

Published on 23 Feb 2026 - 12:24

List Question

finding $a,b$ such that the equation $\frac{a}{x} = \cosh{\frac{b}{x}}$ only has one solution

Approximate inverse Mellin transform

Approximation of $(1 - 1/n)^m$ when $m$ depends on $n$

Question about the asymptotic expansion of the Exponential Integral $\int_z^\infty \frac{e^{-x}}{x}dx$: using Taylor expansion on the infinite domain

Find limit: $\lim\limits_{n \rightarrow \infty} \left( \cos\frac an \right)^n$

Why does $y = \frac{2A\sin(x\pi \ell)}{\pi^2 \ell (1-\ell) x^2}$ simplify to $y=c/x$ as $\ell$ approaches $0$?

Integral of a product of the normal pdf with one over sum of exponents

Analyzing an Integral Involving a Complex Function with Symmetry Properties: approximation or simplification

"Nice" form/bounds for $\ln\prod_{i=1}^n \left(1 + \frac{x_i^2}{n}\right)$

Approximating $(\log n)^n$ using Big O notation

Pade approximation

Reduction from a Chebyshev\minimax approximation to linear programming to find solution vector

Upper and lower bounds for $x/\ln x$

Can this Non-Linear Residual Function, $R(x)=((x+1)^3-1)^{1/3}-(x+1)$, be expressed exactly using an Infinite Series or Polynomial Function in $x$?

Approximate solution of the following integral

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