Question

$ t(n) = t( x_1 x_2 x_3 ...) = t(x_1) + t(x_2) + t(x_3) + ... + t( x_1 + x_2 + x_3 + ... ) $

score 64 · Answer 1 · 2026-04-17 14:55:51

$ t(n) = t( x_1 x_2 x_3 ...) = t(x_1) + t(x_2) + t(x_3) + ... + t( x_1 + x_2 + x_3 + ... ) $

Published on 17 Apr 2026 - 14:55

score 122 · Answer 2 · 2026-04-15 20:04:45

Is it true that $\forall n \in \Bbb{N} : (\sum_{i=1}^{n} a_{i} ) (\sum_{i=1}^{n} \frac{1}{a_{i}} ) \ge n^2$ , if all $a_{i}$ are positive?

score 57 · Answer 3 · 2026-04-09 06:36:59

57

Views

Confused about a mathematical induction detail

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score 247 · Answer 4 · 2026-04-14 23:29:18

247

Views

Prove that for all positive real numbers $x$ and $y$, $(x+y)(\frac1x+\frac1y)\ge4$.

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score 74 · Answer 5 · 2026-04-15 11:26:39

74

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Inequality similar to Minkowski

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score 43 · Answer 6 · 2026-04-11 12:43:08

43

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Inequality with square roots where solution found with discriminant is not valid

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score 43 · Answer 7 · 2026-04-12 18:57:13

43

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can knowing an improper integral dependence on first parameter help in studying dependence from second parameter?

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score 695 · Answer 8 · 2026-04-13 09:37:26

695

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Inequalities about area and perimeter

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score 164 · Answer 9 · 2026-04-13 02:17:24

164

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Trig Integral Inequality

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score 706 · Answer 10 · 2026-04-16 16:17:57

706

Views

Prove the inequality $\frac{e^x+e^{-x}}{2} \leq e^{x^2/2}$ for all real numbers $x$.

Published on 16 Apr 2026 - 16:17

score 82 · Answer 11 · 2026-04-17 06:14:24

82

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Prove or find a counterexample $\forall x>0: f(2x)-f(x)<g(3x)-g(2x)$, given information about $f, g$.

Published on 17 Apr 2026 - 6:14

score 66 · Answer 12 · 2026-04-16 15:32:22

66

Views

Help to prove that if C is a copula such that $C(t,1-t) = 0$ for all $t$ in $[0,1]$ then $C = max(u+v-1,0)$

Published on 16 Apr 2026 - 15:32

score 40 · Answer 13 · 2026-04-15 19:37:53

How to solve $(...((a - b) \cdot y - b) \cdot y \ldots) \cdot y \geq 0$ if there are $n$ subtractions and multiplications?

score 173 · Answer 14 · 2026-04-06 18:25:16

173

Views

to prove this inequality $\sum a^3b+3\ge 2(ab+bc+ca)$

Published on 06 Apr 2026 - 18:25

score 185 · Answer 15 · 2026-04-17 09:58:36

185

Views

Find range of $x$ if $\log_5\left(6+\frac{2}{x}\right)+\log_{1/5}\left(1+\frac{x}{10}\right)\leq1$

Published on 17 Apr 2026 - 9:58

List Question

$ t(n) = t( x_1 x_2 x_3 ...) = t(x_1) + t(x_2) + t(x_3) + ... + t( x_1 + x_2 + x_3 + ... ) $

Is it true that $\forall n \in \Bbb{N} : (\sum_{i=1}^{n} a_{i} ) (\sum_{i=1}^{n} \frac{1}{a_{i}} ) \ge n^2$ , if all $a_{i}$ are positive?

Confused about a mathematical induction detail

Prove that for all positive real numbers $x$ and $y$, $(x+y)(\frac1x+\frac1y)\ge4$.

Inequality similar to Minkowski

Inequality with square roots where solution found with discriminant is not valid

can knowing an improper integral dependence on first parameter help in studying dependence from second parameter?

Inequalities about area and perimeter

Trig Integral Inequality

Prove the inequality $\frac{e^x+e^{-x}}{2} \leq e^{x^2/2}$ for all real numbers $x$.

Prove or find a counterexample $\forall x>0: f(2x)-f(x)<g(3x)-g(2x)$, given information about $f, g$.

Help to prove that if C is a copula such that $C(t,1-t) = 0$ for all $t$ in $[0,1]$ then $C = max(u+v-1,0)$

How to solve $(...((a - b) \cdot y - b) \cdot y \ldots) \cdot y \geq 0$ if there are $n$ subtractions and multiplications?

to prove this inequality $\sum a^3b+3\ge 2(ab+bc+ca)$

Find range of $x$ if $\log_5\left(6+\frac{2}{x}\right)+\log_{1/5}\left(1+\frac{x}{10}\right)\leq1$

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