Question

Showing $\sqrt{\frac{e}{2}}\cdot\frac{e}{\pi}\left(\frac{e}{2}-\frac{1}{e}\right)<1$ without a calculator

score 533 · Answer 1 · 2021-12-12 13:07:44

533

Views

Showing $\sqrt{\frac{e}{2}}\cdot\frac{e}{\pi}\left(\frac{e}{2}-\frac{1}{e}\right)<1$ without a calculator

Published on 12 Dec 2021 - 13:07

score 170 · Answer 2 · 2021-12-19 12:54:28

170

Views

Show without a calculator : $e^{-\gamma}<\omega$

Published on 19 Dec 2021 - 12:54

score 175 · Answer 3 · 2026-02-23 23:57:48

175

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Constant function if the derivative is null

Published on 23 Feb 2026 - 23:57

score 57 · Answer 4 · 2021-12-25 15:12:51

57

Views

Show that the function $f(x)=\left(\sqrt{\frac{e}{2}}\cdot\frac{e}{\pi}\right)-\frac{1}{x}+\left(\frac{e}{2}-\frac{x}{e^{x}}\right)-x$ is negative

Published on 25 Dec 2021 - 15:12

score 122 · Answer 5 · 2021-12-27 13:30:32

122

Views

$\int_0^y e^x dx = e$, solve for y

Published on 27 Dec 2021 - 13:30

score 45 · Answer 6 · 2021-12-28 20:03:14

45

Views

Failure to Lump Constants in Laplace's Equation

Published on 28 Dec 2021 - 20:03

score 160 · Answer 7 · 2022-01-02 11:37:58

160

Views

An upper bound for the function $x!$ using some well-know constant as $e$ or $\pi$

Published on 02 Jan 2022 - 11:37

score 84 · Answer 8 · 2022-01-05 04:47:57

84

Views

What is $\lim\limits_{n\to\infty} (\text j_{x,x}-\text y_{x,x})$ with the BesselYZero and BesselJZero function?

Published on 05 Jan 2022 - 4:47

score 319 · Answer 9 · 2022-01-16 11:53:32

319

Views

How to find constants in a function if the function and its derivative is given?

Published on 16 Jan 2022 - 11:53

score 256 · Answer 10 · 2022-02-05 19:09:26

256

Views

Find extrema of $y=?(x)-x$ with the Minkowski Question Mark function

Published on 05 Feb 2022 - 19:09

score 400 · Answer 11 · 2022-02-19 03:25:56

400

Views

PDEs With Partial Derivatives W.R.T. a Single Variable

Published on 19 Feb 2022 - 3:25

score 50 · Answer 12 · 2026-02-24 01:16:47

50

Views

Mean value theorem question - proving F constant - answer check

Published on 24 Feb 2026 - 1:16

score 195 · Answer 13 · 2022-02-28 20:18:37

195

Views

What does it mean to say "the inequality is tight up to constant factors"?

Published on 28 Feb 2022 - 20:18

score 328 · Answer 14 · 2026-03-27 01:00:14

328

Views

Is there a closed form of the Laplace Limit Constant: $x$ such that $\frac{xe^{\sqrt{x^2+1}}}{\sqrt{x^2+1}+1}=1$ using library functions?

Published on 27 Mar 2026 - 1:00

score 103 · Answer 15 · 2026-03-25 20:11:58

103

Views

Is this old news? $\sum_{i=1}^n \frac{i!}{p_i\#} \approx 1.240053652689\dots$

Published on 25 Mar 2026 - 20:11

List Question

Showing $\sqrt{\frac{e}{2}}\cdot\frac{e}{\pi}\left(\frac{e}{2}-\frac{1}{e}\right)<1$ without a calculator

Show without a calculator : $e^{-\gamma}<\omega$

Constant function if the derivative is null

Show that the function $f(x)=\left(\sqrt{\frac{e}{2}}\cdot\frac{e}{\pi}\right)-\frac{1}{x}+\left(\frac{e}{2}-\frac{x}{e^{x}}\right)-x$ is negative

$\int_0^y e^x dx = e$, solve for y

Failure to Lump Constants in Laplace's Equation

An upper bound for the function $x!$ using some well-know constant as $e$ or $\pi$

What is $\lim\limits_{n\to\infty} (\text j_{x,x}-\text y_{x,x})$ with the BesselYZero and BesselJZero function?

How to find constants in a function if the function and its derivative is given?

Find extrema of $y=?(x)-x$ with the Minkowski Question Mark function

PDEs With Partial Derivatives W.R.T. a Single Variable

Mean value theorem question - proving F constant - answer check

What does it mean to say "the inequality is tight up to constant factors"?

Is there a closed form of the Laplace Limit Constant: $x$ such that $\frac{xe^{\sqrt{x^2+1}}}{\sqrt{x^2+1}+1}=1$ using library functions?

Is this old news? $\sum_{i=1}^n \frac{i!}{p_i\#} \approx 1.240053652689\dots$

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