Question

Find range of exponent

score 337 · Answer 1 · 2026-03-25 17:37:00

337

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Find range of exponent

Published on 25 Mar 2026 - 17:37

score 28 · Answer 2 · 2018-10-11 10:45:10

28

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Question on inequality deduced by density

Published on 11 Oct 2018 - 10:45

score 78 · Answer 3 · 2018-10-11 13:29:08

78

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Showing that the inequality $\frac{\sqrt{2}}{n+1} - \frac{1}{2n^2} \leq u_n \leq \frac{\sqrt{2}}{n+1}$ stands.

Published on 11 Oct 2018 - 13:29

score 174 · Answer 4 · 2026-04-05 18:37:35

174

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Fractional Hardy inequality

Published on 05 Apr 2026 - 18:37

score 36 · Answer 5 · 2026-03-26 01:09:24

36

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Inequality involving $\text{floor}(x)$

Published on 26 Mar 2026 - 1:09

score 35 · Answer 6 · 2026-03-25 09:29:51

35

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For $A$ positive semidefinite and $\theta_1 ^{T} \theta_2 = 0$ is it true that $\theta_1^{T} A \theta_1 + 2 \theta_1^{T} A \theta_2 \geq 0$?

Published on 25 Mar 2026 - 9:29

score 224 · Answer 7 · 2026-03-25 19:12:07

224

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Proving If $k \le \left\lfloor \frac{n}{2} \right\rfloor$ then $\binom{n}{k-1} < \binom{n}{k}$

Published on 25 Mar 2026 - 19:12

score 82 · Answer 8 · 2026-04-03 15:12:34

82

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Prove that $d_X$ is a metric on $X$, where $X$ is the set of all closed subsets of the unit disk in $\mathbb{R}^2$.

Published on 03 Apr 2026 - 15:12

score 739 · Answer 9 · 2026-03-26 04:50:06

739

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Proving recursive inequality with strong induction

Published on 26 Mar 2026 - 4:50

score 146 · Answer 10 · 2026-03-27 20:25:50

146

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show that $\frac {a_{N+1}}{s_{N+1}} +...+\frac {a_{N+k}}{s_{N+k}}\geq 1 -\frac {a_{N}}{s_{N+k}} $

Published on 27 Mar 2026 - 20:25

score 82 · Answer 11 · 2026-03-29 06:55:50

82

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Upper bound of a sequence for all n

Published on 29 Mar 2026 - 6:55

score 88 · Answer 12 · 2026-03-24 20:38:02

88

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Finding range of expression $f(x,y)=x^2+y^2$

Published on 24 Mar 2026 - 20:38

score 1.1k · Answer 13 · 2026-03-27 19:33:38

1.1k

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Prove a strong inequality $\sum_{k=1}^n\frac{k}{a_1+a_2+\cdots+a_k}\le\left(2-\frac{7\ln 2}{8\ln n}\right)\sum_{k=1}^n\frac 1{a_k}$

Published on 27 Mar 2026 - 19:33

score 8.4k · Answer 14 · 2026-03-25 15:51:49

8.4k

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What does a vertical line through the top and middle portion of an equals sign mean?

Published on 25 Mar 2026 - 15:51

score 74 · Answer 15 · 2018-10-13 06:12:37

74

Views

sharp bounds for $(1+\frac{1}{n})(1+\frac{2}{n})\cdots(1+\frac{k}{n})$

Published on 13 Oct 2018 - 6:12

List Question

Find range of exponent

Question on inequality deduced by density

Showing that the inequality $\frac{\sqrt{2}}{n+1} - \frac{1}{2n^2} \leq u_n \leq \frac{\sqrt{2}}{n+1}$ stands.

Fractional Hardy inequality

Inequality involving $\text{floor}(x)$

For $A$ positive semidefinite and $\theta_1 ^{T} \theta_2 = 0$ is it true that $\theta_1^{T} A \theta_1 + 2 \theta_1^{T} A \theta_2 \geq 0$?

Proving If $k \le \left\lfloor \frac{n}{2} \right\rfloor$ then $\binom{n}{k-1} < \binom{n}{k}$

Prove that $d_X$ is a metric on $X$, where $X$ is the set of all closed subsets of the unit disk in $\mathbb{R}^2$.

Proving recursive inequality with strong induction

show that $\frac {a_{N+1}}{s_{N+1}} +...+\frac {a_{N+k}}{s_{N+k}}\geq 1 -\frac {a_{N}}{s_{N+k}} $

Upper bound of a sequence for all n

Finding range of expression $f(x,y)=x^2+y^2$

Prove a strong inequality $\sum_{k=1}^n\frac{k}{a_1+a_2+\cdots+a_k}\le\left(2-\frac{7\ln 2}{8\ln n}\right)\sum_{k=1}^n\frac 1{a_k}$

What does a vertical line through the top and middle portion of an equals sign mean?

sharp bounds for $(1+\frac{1}{n})(1+\frac{2}{n})\cdots(1+\frac{k}{n})$

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