List questions from triangle-inequality

Published on 17 Mar 2021 - 0:01

434

Views

Prove that if $\vec v$ and $\vec w$ are orthogonal then $\|\vec v+\vec w\|=\|\vec v\|+\|\vec w\|$

Published on 20 Mar 2021 - 22:19

65

Views

Why is $|x-y|^2 \geq \frac 12 |y|^2$ when $|x|$ is sufficiently small?

Published on 23 Mar 2021 - 20:27

32

Views

Is there some graphically way to (intuitive) understand the reverse triangle inequality in the $\ell^p$ spaces?

Published on 26 Mar 2021 - 17:01

1.3k

Views

Number of obtuse (or acute) triangles with sides $8$, $15$, and integer $x$

Published on 27 Mar 2021 - 6:13

219

Views

Is the "triangle inequality for reciprocals" a sufficient condition for altitudes of a triangle?

Published on 30 Mar 2021 - 6:08

244

Views

$L^1$ norm divided by $L^2$ norm: convexity

Published on 05 Apr 2021 - 11:09

228

Views

Ptolemy's inequality for Hilbert space

Published on 06 Apr 2021 - 15:01

39

Views

Proving an inequality absolute value

Published on 09 Apr 2021 - 18:39

422

Views

Generalized Triangle Inequality

Published on 09 Apr 2021 - 21:06

294

Views

Reverse Triangle Inequality inner product

Published on 15 Apr 2021 - 20:48

166

Views

Triangle inequality Bures distance

Published on 18 Apr 2021 - 17:07

105

Views

Does a continuous distance satisfy the triangle inequality?

Published on 19 Apr 2021 - 14:17

1k

Views

Is it possible to choose six triples of lengths from $1,2,3,\ldots, 20$ to form six triangles with equal perimeters?

Published on 21 Apr 2021 - 3:45

278

Views

Proving triangle inequality involving measures and symmetric differences

Published on 25 Apr 2021 - 1:37

List Question

Showing $d$ is a metric

Prove that if $\vec v$ and $\vec w$ are orthogonal then $\|\vec v+\vec w\|=\|\vec v\|+\|\vec w\|$

Why is $|x-y|^2 \geq \frac 12 |y|^2$ when $|x|$ is sufficiently small?

Is there some graphically way to (intuitive) understand the reverse triangle inequality in the $\ell^p$ spaces?

Number of obtuse (or acute) triangles with sides $8$, $15$, and integer $x$

Is the "triangle inequality for reciprocals" a sufficient condition for altitudes of a triangle?

$L^1$ norm divided by $L^2$ norm: convexity

Ptolemy's inequality for Hilbert space

Proving an inequality absolute value

Generalized Triangle Inequality

Reverse Triangle Inequality inner product

Triangle inequality Bures distance

Does a continuous distance satisfy the triangle inequality?

Is it possible to choose six triples of lengths from $1,2,3,\ldots, 20$ to form six triangles with equal perimeters?

Proving triangle inequality involving measures and symmetric differences

Trending Questions

Popular # Hahtags

Popular Questions