List questions from inequality

Published on 14 Apr 2026 - 9:23

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Variance of a sub-Gaussian random variable

Published on 26 Mar 2026 - 1:27

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I cannot reproduce a geometric result algebraically

Published on 14 Apr 2026 - 22:23

152

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$\frac{a}{a^a+1}+\frac{b}{b^b+1}+\frac{c}{c^c+1}\leq \frac{3}{2}$ with $abc=1$

Published on 25 Mar 2026 - 1:20

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Entropy of probability distributions

Published on 13 Apr 2026 - 14:31

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How to find the minimum product of two or more quantities when their sum is given?

Published on 12 Apr 2026 - 1:31

381

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Show that $\frac{1}{\cosh(x)} + \log\left(\frac{\cosh(x)}{1+\cosh(x)}\right) \ge 0$

Published on 17 Apr 2026 - 8:15

138

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Solve $x^k \exp(-x)=a$ for $x$ and some inequalities

Published on 15 Apr 2026 - 16:13

87

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Silly but tricky inequality involving order of shifting and exponentiating

Published on 14 Apr 2026 - 22:36

63

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Prove inequality $C |x| \leq \|x\|$

Published on 15 Apr 2026 - 22:01

68

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Using induction to prove an inequality for a sequence of numbers

Published on 10 Apr 2026 - 23:41

145

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Prove that $\left|\sum\limits_{m=N+1}^M\frac{\chi(m)}{m}\right|< \frac{2}{N+1}\sqrt{k}\log k$.

Published on 15 Apr 2026 - 21:09

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Inequality $\frac{1}{2}\sum\limits_{i=1}^n|r_i^2-s_i^2|\leq\sqrt{\sum\limits_{i=1}^n|r_i-s_i|^2}$

Published on 16 Apr 2026 - 22:21

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Why is $b^2-4ac<0$ if a linear line and a curve do not meet?

Published on 14 Apr 2026 - 7:00

35

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For what functions does the inequality hold?

Published on 11 Apr 2026 - 2:57

List Question

Prove inequality for infimum of expected values

Variance of a sub-Gaussian random variable

I cannot reproduce a geometric result algebraically

$\frac{a}{a^a+1}+\frac{b}{b^b+1}+\frac{c}{c^c+1}\leq \frac{3}{2}$ with $abc=1$

Entropy of probability distributions

How to find the minimum product of two or more quantities when their sum is given?

Show that $\frac{1}{\cosh(x)} + \log\left(\frac{\cosh(x)}{1+\cosh(x)}\right) \ge 0$

Solve $x^k \exp(-x)=a$ for $x$ and some inequalities

Silly but tricky inequality involving order of shifting and exponentiating

Prove inequality $C |x| \leq \|x\|$

Using induction to prove an inequality for a sequence of numbers

Prove that $\left|\sum\limits_{m=N+1}^M\frac{\chi(m)}{m}\right|< \frac{2}{N+1}\sqrt{k}\log k$.

Inequality $\frac{1}{2}\sum\limits_{i=1}^n|r_i^2-s_i^2|\leq\sqrt{\sum\limits_{i=1}^n|r_i-s_i|^2}$

Why is $b^2-4ac<0$ if a linear line and a curve do not meet?

For what functions does the inequality hold?

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