Question

Why is the triangle inequality at the heart of so many proofs in different fields of mathematics?

score 86 · Answer 1 · 2023-11-11 23:22:25

86

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Why is the triangle inequality at the heart of so many proofs in different fields of mathematics?

Published on 11 Nov 2023 - 23:22

score 64 · Answer 2 · 2023-11-15 02:49:52

64

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Generalization of triangle inequality in tetrahedron

Published on 15 Nov 2023 - 2:49

score 59 · Answer 3 · 2023-11-16 21:22:50

59

Views

Assume that ($a_n$) converges to a and ($b_n$) converges to b. Prove that ($a_n-b_n$) converges to $a-b$.

Published on 16 Nov 2023 - 21:22

score 46 · Answer 4 · 2023-11-24 17:04:40

46

Views

Prove that sum of any two sides of a triangle is greater than twice the median with respect to the third side.

Published on 24 Nov 2023 - 17:04

score 70 · Answer 5 · 2023-12-06 14:46:52

70

Views

The triangle inequality of the $L^p$-norm for a infinite sum

Published on 06 Dec 2023 - 14:46

score 50 · Answer 6 · 2023-12-12 14:22:03

50

Views

How can I continue reducing this absolute value inequality's denominator

Published on 12 Dec 2023 - 14:22

score 28 · Answer 7 · 2023-12-19 23:10:06

28

Views

Estimation theorem/triangle inequality

Published on 19 Dec 2023 - 23:10

score 56 · Answer 8 · 2023-12-26 19:57:11

56

Views

convergence vs cauchy sequence

Published on 26 Dec 2023 - 19:57

score 99 · Answer 9 · 2024-01-17 00:12:25

99

Views

Triangle Inequality for Le Cam's Metric?

Published on 17 Jan 2024 - 0:12

score 157 · Answer 10 · 2024-01-22 06:51:28

157

Views

Problems with proving exponential distance function

Published on 22 Jan 2024 - 6:51

score 56 · Answer 11 · 2024-02-11 19:17:33

56

Views

Prove the inequality for x,y real numbers

Published on 11 Feb 2024 - 19:17

score 26 · Answer 12 · 2024-03-05 22:11:58

26

Views

General Triangular Inequality for distance between subsets.

Published on 05 Mar 2024 - 22:11

score 33 · Answer 13 · 2024-03-11 19:57:51

33

Views

How to prove triangle inequality for this p- norm?

Published on 11 Mar 2024 - 19:57

score 67 · Answer 14 · 2026-02-23 06:58:25

67

Views

inequality $|x + 3\eta^2| \geq |x| + |\eta|^2$

Published on 23 Feb 2026 - 6:58

score 34 · Answer 15 · 2024-03-20 13:31:26

34

Views

Necessary and sufficient conditions for a product of norms to be the square of a norm

Published on 20 Mar 2024 - 13:31

List Question

Why is the triangle inequality at the heart of so many proofs in different fields of mathematics?

Generalization of triangle inequality in tetrahedron

Assume that ($a_n$) converges to a and ($b_n$) converges to b. Prove that ($a_n-b_n$) converges to $a-b$.

Prove that sum of any two sides of a triangle is greater than twice the median with respect to the third side.

The triangle inequality of the $L^p$-norm for a infinite sum

How can I continue reducing this absolute value inequality's denominator

Estimation theorem/triangle inequality

convergence vs cauchy sequence

Triangle Inequality for Le Cam's Metric?

Problems with proving exponential distance function

Prove the inequality for x,y real numbers

General Triangular Inequality for distance between subsets.

How to prove triangle inequality for this p- norm?

inequality $|x + 3\eta^2| \geq |x| + |\eta|^2$

Necessary and sufficient conditions for a product of norms to be the square of a norm

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