Question

The proper way to interpret $(-1)^{m/n}$

score 93 · Answer 1 · 2017-08-02 17:10:24

93

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The proper way to interpret $(-1)^{m/n}$

Published on 02 Aug 2017 - 17:10

score 176 · Answer 2 · 2017-08-02 18:15:30

176

Views

Approach to solve $(3^\frac{2}{7} - 2^\frac{3}{7} ) * 112$

Published on 02 Aug 2017 - 18:15

score 162 · Answer 3 · 2026-03-29 19:08:32

162

Views

Infinite fraction

Published on 29 Mar 2026 - 19:08

score 162 · Answer 4 · 2017-08-04 18:12:12

162

Views

Given $a+b+c=0$ find the value of $\big(\frac{b-c}{a}+\frac{c-a}{b}+\frac{a-b}{c}\big)\big(\frac{a}{b-c}+\frac{b}{c-a}+\frac{c}{a-b}\big)$

Published on 04 Aug 2017 - 18:12

score 83 · Answer 5 · 2017-08-05 15:22:25

83

Views

Why does this fraction flip?

Published on 05 Aug 2017 - 15:22

score 113 · Answer 6 · 2026-03-25 20:20:27

113

Views

Prove this inequality $\sum_{cyc}\frac{ab}{c\left(c+a\right)}\ge \sum_{cyc}\frac{a}{a+c}$

Published on 25 Mar 2026 - 20:20

score 883 · Answer 7 · 2017-08-05 18:21:11

883

Views

Sum of ratio bounded by ratio of sum

Published on 05 Aug 2017 - 18:21

score 204 · Answer 8 · 2026-03-30 07:09:09

204

Views

Inequality $\sum\limits_{k=1}^n \frac{1}{n+k} \le \frac{3}{4}$

Published on 30 Mar 2026 - 7:09

score 1.7k · Answer 9 · 2017-08-08 05:40:24

1.7k

Views

How to find the equation with roots $\alpha/\beta$ and $\beta/\alpha$, given that $\alpha \ne \beta $, $ \alpha^2 = 5\alpha -3$, $\beta^2 = 5\beta -3$

Published on 08 Aug 2017 - 5:40

score 81 · Answer 10 · 2026-03-27 03:44:26

81

Views

is there any analytical way to konw if $\frac{1}{2x}+\frac{x}{2} >1$ for $(1,\infty)$ or $(0,\infty)$?

Published on 27 Mar 2026 - 3:44

score 166 · Answer 11 · 2026-03-25 17:42:23

166

Views

Prove the inequality $\sum_{cyc}\frac{a}{1+\left(b+c\right)^2}\le \frac{3\left(a^2+b^2+c^2\right)}{a^2+b^2+c^2+12abc}$

Published on 25 Mar 2026 - 17:42

score 9.2k · Answer 12 · 2026-03-30 04:56:40

9.2k

Views

How to express 0.999999... recurring as a fraction without equaling 1

Published on 30 Mar 2026 - 4:56

score 993 · Answer 13 · 2026-03-25 12:54:58

993

Views

Prove $\frac{1}{\log_2\pi }+\frac{1}{\log_5\pi}>2$

Published on 25 Mar 2026 - 12:54

score 115 · Answer 14 · 2017-08-13 04:50:21

115

Views

Prove : $\tan \alpha_1<(\sin \alpha_1+\cdots+\sin \alpha_n)/(\cos \alpha_1+\cdots+\cos \alpha_n)<\tan \alpha_n$

Published on 13 Aug 2017 - 4:50

score 202 · Answer 15 · 2026-03-25 20:22:59

202

Views

Inequality : $\sum_{cyc}\frac{\sqrt{a^3c}}{2\sqrt{b^3a}+3bc}\geq \frac{3}{5}$

Published on 25 Mar 2026 - 20:22

List Question

The proper way to interpret $(-1)^{m/n}$

Approach to solve $(3^\frac{2}{7} - 2^\frac{3}{7} ) * 112$

Infinite fraction

Given $a+b+c=0$ find the value of $\big(\frac{b-c}{a}+\frac{c-a}{b}+\frac{a-b}{c}\big)\big(\frac{a}{b-c}+\frac{b}{c-a}+\frac{c}{a-b}\big)$

Why does this fraction flip?

Prove this inequality $\sum_{cyc}\frac{ab}{c\left(c+a\right)}\ge \sum_{cyc}\frac{a}{a+c}$

Sum of ratio bounded by ratio of sum

Inequality $\sum\limits_{k=1}^n \frac{1}{n+k} \le \frac{3}{4}$

How to find the equation with roots $\alpha/\beta$ and $\beta/\alpha$, given that $\alpha \ne \beta $, $ \alpha^2 = 5\alpha -3$, $\beta^2 = 5\beta -3$

is there any analytical way to konw if $\frac{1}{2x}+\frac{x}{2} >1$ for $(1,\infty)$ or $(0,\infty)$?

Prove the inequality $\sum_{cyc}\frac{a}{1+\left(b+c\right)^2}\le \frac{3\left(a^2+b^2+c^2\right)}{a^2+b^2+c^2+12abc}$

How to express 0.999999... recurring as a fraction without equaling 1

Prove $\frac{1}{\log_2\pi }+\frac{1}{\log_5\pi}>2$

Prove : $\tan \alpha_1<(\sin \alpha_1+\cdots+\sin \alpha_n)/(\cos \alpha_1+\cdots+\cos \alpha_n)<\tan \alpha_n$

Inequality : $\sum_{cyc}\frac{\sqrt{a^3c}}{2\sqrt{b^3a}+3bc}\geq \frac{3}{5}$

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