Question

Using correlation as a distance metric

score 39 · Answer 1 · 2023-06-09 10:18:37

39

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Using correlation as a distance metric

Published on 09 Jun 2023 - 10:18

score 29 · Answer 2 · 2023-06-14 09:16:35

29

Views

How long are the diagonals of a unit quadrilateral?

Published on 14 Jun 2023 - 9:16

score 256 · Answer 3 · 2023-06-22 10:42:38

256

Views

Why is the triangle inequality in a weighted graph always satisfied? Why is this not a counter-example?

Published on 22 Jun 2023 - 10:42

score 40 · Answer 4 · 2023-06-29 11:33:16

40

Views

Proof of triangle inequality (where d is a metric described in the question)

Published on 29 Jun 2023 - 11:33

score 48 · Answer 5 · 2023-07-01 10:02:48

48

Views

Inequality in a random triangle

Published on 01 Jul 2023 - 10:02

score 151 · Answer 6 · 2023-07-04 15:49:56

151

Views

Prove: $\sum\limits_{cyc} \sqrt{9a^2+(a+b+c)^2} \ge \sqrt{12(a^2+b^2+c^2)+14(a+b+c)^2}$ with $a,b,c>0.$

Published on 04 Jul 2023 - 15:49

score 39 · Answer 7 · 2023-07-28 09:34:24

39

Views

Complex integration - showing that the arc integral vanishes using the estimation lemma

Published on 28 Jul 2023 - 9:34

score 18 · Answer 8 · 2023-08-02 09:14:26

18

Views

Bound from below with Triangle inequality

Published on 02 Aug 2023 - 9:14

score 62 · Answer 9 · 2023-08-03 12:23:05

62

Views

$f(x)=x^n+a_{n-2}x^{n-2}+...+a_1x+a_0\in \mathbb{R}[X]$. prove$\ \exists$ $i\in[1,...,n]$ so that : $|f(i)| \ge \frac{n!}{\binom n i}$

Published on 03 Aug 2023 - 12:23

score 101 · Answer 10 · 2023-08-04 16:20:30

101

Views

$\ \forall x_1,x_2,...,x_n \in \mathbb{R} (x_i\not=x_j)$ in the range of $[-1,1]$ prove:$\sum_{i=1}^{n}\frac{1}{\Pi_{k\not=i}|x_k-x_i|}\ge2^{n-2}$

Published on 04 Aug 2023 - 16:20

score 72 · Answer 11 · 2023-08-04 22:21:15

72

Views

Confirming an answer using the Triangle Inequality for complex numbers

Published on 04 Aug 2023 - 22:21

score 157 · Answer 12 · 2023-08-11 05:31:10

157

Views

Prove that: $|(x+y)(y+z)(z+x)| \le 1.$

Published on 11 Aug 2023 - 5:31

score 65 · Answer 13 · 2023-08-13 09:52:48

65

Views

If $a,b,c$ are nonzero natural numbers that verify the relation $a^2+b^2=c^2$, show that $a^n+b^n<c^n$.

Published on 13 Aug 2023 - 9:52

score 81 · Answer 14 · 2023-08-16 21:30:10

81

Views

Strange simple inequality

Published on 16 Aug 2023 - 21:30

score 74 · Answer 15 · 2023-08-18 17:07:33

74

Views

Help me complete the solution to a geometry problem

Published on 18 Aug 2023 - 17:07

List Question

Using correlation as a distance metric

How long are the diagonals of a unit quadrilateral?

Why is the triangle inequality in a weighted graph always satisfied? Why is this not a counter-example?

Proof of triangle inequality (where d is a metric described in the question)

Inequality in a random triangle

Prove: $\sum\limits_{cyc} \sqrt{9a^2+(a+b+c)^2} \ge \sqrt{12(a^2+b^2+c^2)+14(a+b+c)^2}$ with $a,b,c>0.$

Complex integration - showing that the arc integral vanishes using the estimation lemma

Bound from below with Triangle inequality

$f(x)=x^n+a_{n-2}x^{n-2}+...+a_1x+a_0\in \mathbb{R}[X]$. prove$\ \exists$ $i\in[1,...,n]$ so that : $|f(i)| \ge \frac{n!}{\binom n i}$

$\ \forall x_1,x_2,...,x_n \in \mathbb{R} (x_i\not=x_j)$ in the range of $[-1,1]$ prove:$\sum_{i=1}^{n}\frac{1}{\Pi_{k\not=i}|x_k-x_i|}\ge2^{n-2}$

Confirming an answer using the Triangle Inequality for complex numbers

Prove that: $|(x+y)(y+z)(z+x)| \le 1.$

If $a,b,c$ are nonzero natural numbers that verify the relation $a^2+b^2=c^2$, show that $a^n+b^n<c^n$.

Strange simple inequality

Help me complete the solution to a geometry problem

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