Question

How can I get the Pythagorean theorem from triangle inequality?

score 240 · Answer 1 · 2020-02-11 14:30:10

240

Views

How can I get the Pythagorean theorem from triangle inequality?

Published on 11 Feb 2020 - 14:30

score 128 · Answer 2 · 2020-02-17 08:20:43

128

Views

Probability of forming a triangle from a unit line segment with two random cuts

Published on 17 Feb 2020 - 8:20

score 40 · Answer 3 · 2020-02-17 14:49:13

40

Views

Showing $|f(x)| > \frac{1}{2} |f(p)|$ if f continous and $f(p)$ not $0$

Published on 17 Feb 2020 - 14:49

score 34 · Answer 4 · 2020-02-20 19:02:19

34

Views

Did I make a mistake in my proof of triangular ineqality by squaring both sides?

Published on 20 Feb 2020 - 19:02

score 91 · Answer 5 · 2020-02-26 02:47:20

91

Views

Prove a metric space

Published on 26 Feb 2020 - 2:47

score 145 · Answer 6 · 2020-03-04 06:28:20

145

Views

A problem regarding the in-equality of complex numbers .

Published on 04 Mar 2020 - 6:28

score 1.2k · Answer 7 · 2020-03-07 00:06:23

1.2k

Views

Is this a valid proof for the reverse triangle inequality: Given $x,\,y\in\mathbb{R}^n$, $\|x-y\|\ge |\|x\| - \|y\||$.

Published on 07 Mar 2020 - 0:06

score 71 · Answer 8 · 2020-03-18 07:03:38

71

Views

$|a\alpha-b\beta|\leq|a-b|+|\alpha-\beta|$

Published on 18 Mar 2020 - 7:03

score 161 · Answer 9 · 2020-03-27 05:14:44

161

Views

Is it possible to prove the triangle inequality in inner product spaces without using the Cauchy-Schwartz inequality?

Published on 27 Mar 2020 - 5:14

score 31 · Answer 10 · 2020-04-04 11:23:09

31

Views

Change of angle given a load (geometric problem)

Published on 04 Apr 2020 - 11:23

score 80 · Answer 11 · 2020-04-07 16:38:55

80

Views

Can someone prove the triangle inequality for the following $d$?

Published on 07 Apr 2020 - 16:38

score 60 · Answer 12 · 2020-04-08 16:30:29

60

Views

Show that the angle function between two points on the unit circle satisfies the triangle inequality

Published on 08 Apr 2020 - 16:30

score 48 · Answer 13 · 2020-04-09 17:03:24

48

Views

Proving $ \mid a - x| > |b - x|$ implies $(a - b)\cdot(x-b)<0$ where $a,b,x\in\mathbb{R}^N$

Published on 09 Apr 2020 - 17:03

score 116 · Answer 14 · 2020-04-09 18:11:44

116

Views

Proof that 2-norm is norm on $\mathbb{R}^2$ without C.S. inequality

Published on 09 Apr 2020 - 18:11

score 366 · Answer 15 · 2020-04-09 19:14:19

366

Views

Show that if equality takes place in triangle inequality then one of the vectors is either null vector or they are linearly dependent

Published on 09 Apr 2020 - 19:14

List Question

How can I get the Pythagorean theorem from triangle inequality?

Probability of forming a triangle from a unit line segment with two random cuts

Showing $|f(x)| > \frac{1}{2} |f(p)|$ if f continous and $f(p)$ not $0$

Did I make a mistake in my proof of triangular ineqality by squaring both sides?

Prove a metric space

A problem regarding the in-equality of complex numbers .

Is this a valid proof for the reverse triangle inequality: Given $x,\,y\in\mathbb{R}^n$, $\|x-y\|\ge |\|x\| - \|y\||$.

$|a\alpha-b\beta|\leq|a-b|+|\alpha-\beta|$

Is it possible to prove the triangle inequality in inner product spaces without using the Cauchy-Schwartz inequality?

Change of angle given a load (geometric problem)

Can someone prove the triangle inequality for the following $d$?

Show that the angle function between two points on the unit circle satisfies the triangle inequality

Proving $ \mid a - x| > |b - x|$ implies $(a - b)\cdot(x-b)<0$ where $a,b,x\in\mathbb{R}^N$

Proof that 2-norm is norm on $\mathbb{R}^2$ without C.S. inequality

Show that if equality takes place in triangle inequality then one of the vectors is either null vector or they are linearly dependent

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