List questions from cauchy-schwarz-inequality

Published on 17 Apr 2026 - 11:08

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Finding equality of inequality via Cauchy-Schwarz

Published on 12 Apr 2026 - 8:51

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Does $\sum\limits_{i=1}^n x_i = 1$ imply $\sum\limits_{i=1}^n x_i^2 \geq \frac{1}{n}$?

Published on 10 May 2026 - 14:32

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How do I find the distance from a point to a plane?

Published on 10 Apr 2026 - 22:19

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Prove $l^2$ norm obeys the triangle inequality

Published on 13 Apr 2026 - 21:30

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Find the smallest value of $f(x) := \left({1\over9}+{32\over \sin(x)}\right)\left({1\over32}+{9\over \cos(x)}\right)$ on the interval $(0,\pi/2)$

Published on 16 Apr 2026 - 7:40

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Cauchy-Schwarz inequality for $L^2$-norm on periodic functions space

Published on 13 Apr 2026 - 16:06

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Schwarz-Pick on a disc of radius R > 0...

Published on 15 Apr 2026 - 20:44

203

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Cauchy-Schwarz Master Class Exercise 1.13

Published on 13 Apr 2026 - 17:29

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3-variable symmetric inequality

Published on 10 May 2026 - 14:27

94

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Does Cauchy-Schwarz hold for: $ \langle\textbf{u},\textbf{v}\rangle \;\leq ||\textbf{u}|| \cdot ||\textbf{v}|| $

Published on 12 Apr 2026 - 8:30

37

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Find the minimum of a energy conservation equation.

Published on 13 Apr 2026 - 10:37

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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 10 May 2026 - 14:32

86

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Prove that in every triangle the inequality $a^3r_a + b^3r_b + c^3r_c \ge 8S(2R-r)^2 $ takes place

Published on 10 May 2026 - 22:02

532

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Bordered Hessian matrix to find a minimum of the function

Published on 11 May 2026 - 2:42

List Question

show this inequality $\sum\frac{x}{2+xy}\ge\frac{1}{2}$

Finding equality of inequality via Cauchy-Schwarz

Does $\sum\limits_{i=1}^n x_i = 1$ imply $\sum\limits_{i=1}^n x_i^2 \geq \frac{1}{n}$?

How do I find the distance from a point to a plane?

Prove $l^2$ norm obeys the triangle inequality

Find the smallest value of $f(x) := \left({1\over9}+{32\over \sin(x)}\right)\left({1\over32}+{9\over \cos(x)}\right)$ on the interval $(0,\pi/2)$

Cauchy-Schwarz inequality for $L^2$-norm on periodic functions space

Schwarz-Pick on a disc of radius R > 0...

Cauchy-Schwarz Master Class Exercise 1.13

3-variable symmetric inequality

Does Cauchy-Schwarz hold for: $ \langle\textbf{u},\textbf{v}\rangle \;\leq ||\textbf{u}|| \cdot ||\textbf{v}|| $

Find the minimum of a energy conservation equation.

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

Prove that in every triangle the inequality $a^3r_a + b^3r_b + c^3r_c \ge 8S(2R-r)^2 $ takes place

Bordered Hessian matrix to find a minimum of the function

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