Question

an inequality about the maximum

score 204 · Answer 1 · 2018-07-07 23:29:40

204

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an inequality about the maximum

Published on 07 Jul 2018 - 23:29

score 114 · Answer 2 · 2018-07-08 00:22:10

$a+b+c=1.$ Show that $\frac{1}{1-a}+\frac{1}{1-b}+\frac{1}{1-c} \geq \frac{2}{1+a}+\frac{2}{1+b}+\frac{2}{1+c}$

score 225 · Answer 3 · 2018-07-08 03:59:51

225

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Monotonicity of function proof: Prove that $e^{\arctan x}(x+\sqrt{1+x^2}) < e^{2x}$ for all $x >0$

Published on 08 Jul 2018 - 3:59

score 156 · Answer 4 · 2026-03-26 01:01:46

156

Views

Using Method of Undetermined coefficients to find maximum value

Published on 26 Mar 2026 - 1:01

score 132 · Answer 5 · 2018-07-08 13:15:01

132

Views

$\sqrt{x^2+x}+\sqrt{y^2+y}+\sqrt{z^2+z}+\sqrt{w^2+w}\le(x+1)(y+1)(z+1)(w+1)$

Published on 08 Jul 2018 - 13:15

score 150 · Answer 6 · 2026-03-26 06:34:17

150

Views

Real content of Chebyshev sum inequality

Published on 26 Mar 2026 - 6:34

score 230 · Answer 7 · 2026-02-23 02:38:01

230

Views

How to prove inequality between probabilities of negative-binomial random variable and geometric variable?

Published on 23 Feb 2026 - 2:38

score 158 · Answer 8 · 2026-03-31 04:06:42

158

Views

Show that $|v| + |v + w| + |w + z| + |2 + z|\ge 2$ for complex numbers $v,w,$ and $z$

Published on 31 Mar 2026 - 4:06

score 421 · Answer 9 · 2026-03-25 15:57:32

421

Views

Bounding a difference of square roots

Published on 25 Mar 2026 - 15:57

score 97 · Answer 10 · 2026-03-31 03:31:15

97

Views

In what region is $|z^2 + 9|<1$ for complex $z$?

Published on 31 Mar 2026 - 3:31

score 76 · Answer 11 · 2026-03-26 20:16:47

76

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Subset of the $(x,y)$ plane satisfying $x^2 - xy + y^2 \le 0$

Published on 26 Mar 2026 - 20:16

score 80 · Answer 12 · 2026-03-25 01:16:44

80

Views

Is this inequality true? If true what is the simplest proof?

Published on 25 Mar 2026 - 1:16

score 84 · Answer 13 · 2018-07-09 15:37:51

84

Views

An inequality relating the ratio of the areas of two triangles

Published on 09 Jul 2018 - 15:37

score 33 · Answer 14 · 2018-07-10 00:13:52

33

Views

Preservation of definiteness dominance

Published on 10 Jul 2018 - 0:13

score 118 · Answer 15 · 2026-04-05 20:43:28

118

Views

is my proof correct for $\int_{0}^{x^2}g(t)dt=x$, is true only in $x=0$?

Published on 05 Apr 2026 - 20:43

List Question

an inequality about the maximum

$a+b+c=1.$ Show that $\frac{1}{1-a}+\frac{1}{1-b}+\frac{1}{1-c} \geq \frac{2}{1+a}+\frac{2}{1+b}+\frac{2}{1+c}$

Monotonicity of function proof: Prove that $e^{\arctan x}(x+\sqrt{1+x^2}) < e^{2x}$ for all $x >0$

Using Method of Undetermined coefficients to find maximum value

$\sqrt{x^2+x}+\sqrt{y^2+y}+\sqrt{z^2+z}+\sqrt{w^2+w}\le(x+1)(y+1)(z+1)(w+1)$

Real content of Chebyshev sum inequality

How to prove inequality between probabilities of negative-binomial random variable and geometric variable?

Show that $|v| + |v + w| + |w + z| + |2 + z|\ge 2$ for complex numbers $v,w,$ and $z$

Bounding a difference of square roots

In what region is $|z^2 + 9|<1$ for complex $z$?

Subset of the $(x,y)$ plane satisfying $x^2 - xy + y^2 \le 0$

Is this inequality true? If true what is the simplest proof?

An inequality relating the ratio of the areas of two triangles

Preservation of definiteness dominance

is my proof correct for $\int_{0}^{x^2}g(t)dt=x$, is true only in $x=0$?

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