Question

Is the norm of a non-negative vector always smaller than the norm of the sum of two non-negative vectors?

score 1.4k · Answer 1 · 2020-03-04 23:10:06

1.4k

Views

Is the norm of a non-negative vector always smaller than the norm of the sum of two non-negative vectors?

Published on 04 Mar 2020 - 23:10

score 350 · Answer 2 · 2026-03-27 00:04:41

350

Views

Minimalist proof that the operator norm on $H^*$ satisfies the parallelogram law?

Published on 27 Mar 2026 - 0:04

score 63 · Answer 3 · 2020-03-05 06:08:40

63

Views

Is completeness necessary?

Published on 05 Mar 2020 - 6:08

score 44 · Answer 4 · 2026-03-25 17:18:42

44

Views

Why am I getting two different results while solving an inequality that involves L1 norm?

Published on 25 Mar 2026 - 17:18

score 32 · Answer 5 · 2020-03-06 09:14:40

32

Views

What are the bounds on the value of $\pi$ (ratio between circumference and diameter) for all possible norms in $R^2$?

Published on 06 Mar 2020 - 9:14

score 300 · Answer 6 · 2026-03-25 14:36:45

300

Views

Is the convex combination of a convex and strictly convex set, strictly convex?

Published on 25 Mar 2026 - 14:36

score 578 · Answer 7 · 2026-03-25 14:36:43

578

Views

Find an upper bound on the expectation of squared norm given an upper bound on the expectation of norm

Published on 25 Mar 2026 - 14:36

score 1.2k · Answer 8 · 2026-04-09 05:33:38

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 09 Apr 2026 - 5:33

score 962 · Answer 9 · 2026-03-25 15:24:39

962

Views

How does this L1 regularization derivation follow? (Proof it makes sparse models)

Published on 25 Mar 2026 - 15:24

score 470 · Answer 10 · 2020-03-07 01:52:13

470

Views

Proving that for all $x\in\mathbb{R}^n$, $\|x\|_\infty \le \|x\| \le \sqrt{n}\,\|x\|_\infty$

Published on 07 Mar 2020 - 1:52

score 103 · Answer 11 · 2026-04-06 16:15:52

103

Views

How does an inequality with respect to norms indicate linear independence?

Published on 06 Apr 2026 - 16:15

score 122 · Answer 12 · 2020-03-07 08:01:30

122

Views

Why is $\| x\| _1\leq n\| x\| _{\infty}$?

Published on 07 Mar 2020 - 8:01

score 34 · Answer 13 · 2026-03-25 06:05:42

34

Views

help me find the value of a when u=(a,-4) and v=(2,6) are parallel vectors.

Published on 25 Mar 2026 - 6:05

score 26 · Answer 14 · 2020-03-07 12:46:07

26

Views

Understading the $L_p$ and $l_p$ norms of a function $f$ defined on a finite set $X$

Published on 07 Mar 2020 - 12:46

score 273 · Answer 15 · 2026-03-25 20:20:19

273

Views

What is a $1/2$-net of a sphere and why is this operator norm inequality true?

Published on 25 Mar 2026 - 20:20

List Question

Is the norm of a non-negative vector always smaller than the norm of the sum of two non-negative vectors?

Minimalist proof that the operator norm on $H^*$ satisfies the parallelogram law?

Is completeness necessary?

Why am I getting two different results while solving an inequality that involves L1 norm?

What are the bounds on the value of $\pi$ (ratio between circumference and diameter) for all possible norms in $R^2$?

Is the convex combination of a convex and strictly convex set, strictly convex?

Find an upper bound on the expectation of squared norm given an upper bound on the expectation of norm

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

How does this L1 regularization derivation follow? (Proof it makes sparse models)

Proving that for all $x\in\mathbb{R}^n$, $\|x\|_\infty \le \|x\| \le \sqrt{n}\,\|x\|_\infty$

How does an inequality with respect to norms indicate linear independence?

Why is $\| x\| _1\leq n\| x\| _{\infty}$?

help me find the value of a when u=(a,-4) and v=(2,6) are parallel vectors.

Understading the $L_p$ and $l_p$ norms of a function $f$ defined on a finite set $X$

What is a $1/2$-net of a sphere and why is this operator norm inequality true?

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