Question

Let $ f (X) = || X || $ and $ g (X) = || X || ^ 2 $, $ X \in \mathbb{R} ^ n $. Show that $ f $ is uniformly continuous and $ g $ is not.

score 40 · Answer 1 · 2026-04-14 20:32:08

40

Views

Let $ f (X) = || X || $ and $ g (X) = || X || ^ 2 $, $ X \in \mathbb{R} ^ n $. Show that $ f $ is uniformly continuous and $ g $ is not.

Published on 14 Apr 2026 - 20:32

score 39 · Answer 2 · 2026-04-12 03:11:31

39

Views

transformation formula in English

Published on 12 Apr 2026 - 3:11

score 94 · Answer 3 · 2026-04-13 05:24:45

94

Views

Completeness of solution to a differential equation for a vector field

Published on 13 Apr 2026 - 5:24

score 28 · Answer 4 · 2026-04-17 02:46:40

28

Views

Prove that $\vec{Q}-\vec{X}(t_o)$ is perpendicular to the curve at the point $\vec{X}(t_o)$

Published on 17 Apr 2026 - 2:46

score 114 · Answer 5 · 2026-04-16 13:33:48

114

Views

Let $ S $ be the set $ \mathbb {R} ^ 2 $ with the origin removed, show that $ \vec{0} $ is a boundary point of $ S $.

Published on 16 Apr 2026 - 13:33

score 174 · Answer 6 · 2026-05-15 07:24:48

174

Views

Stuck On A Projectile Motion Question, Is My Answer Correct Or The Textbook Answer?

Published on 15 May 2026 - 7:24

score 48 · Answer 7 · 2026-04-15 18:35:56

48

Views

Show that the dot product of the points is given by: $\cos (\phi_2 - \phi_1) - \sin \phi_2 \sin \phi_1 (1- \cos (\theta_2-\theta_1))$.

Published on 15 Apr 2026 - 18:35

score 300 · Answer 8 · 2026-04-08 20:38:59

300

Views

Is it possible to recover a vector field from its divergence equation?

Published on 08 Apr 2026 - 20:38

score 77 · Answer 9 · 2026-05-15 07:24:22

77

Views

What is the initial velocity when dealing with projectile motion?

Published on 15 May 2026 - 7:24

score 32 · Answer 10 · 2026-04-08 19:36:07

32

Views

Simple explanation needed for very basic question about gradient

Published on 08 Apr 2026 - 19:36

score 37 · Answer 11 · 2026-04-12 00:24:57

37

Views

Divergence and curl integral surfaces

Published on 12 Apr 2026 - 0:24

score 59 · Answer 12 · 2026-04-13 02:48:55

59

Views

Matrix trace differentiation correctness

Published on 13 Apr 2026 - 2:48

score 108 · Answer 13 · 2026-04-15 12:41:49

108

Views

difference between $f(x,y)$ and $f(x(t),y(t))$?

Published on 15 Apr 2026 - 12:41

score 43 · Answer 14 · 2026-05-05 13:47:17

43

Views

n-th derivative of exponentiated dot-product

Published on 05 May 2026 - 13:47

score 37 · Answer 15 · 2026-04-14 18:58:24

37

Views

Can anyone explain to me this theorem? (Related to the chain rule for vector functions)

Published on 14 Apr 2026 - 18:58

List Question

Let $ f (X) = || X || $ and $ g (X) = || X || ^ 2 $, $ X \in \mathbb{R} ^ n $. Show that $ f $ is uniformly continuous and $ g $ is not.

transformation formula in English

Completeness of solution to a differential equation for a vector field

Prove that $\vec{Q}-\vec{X}(t_o)$ is perpendicular to the curve at the point $\vec{X}(t_o)$

Let $ S $ be the set $ \mathbb {R} ^ 2 $ with the origin removed, show that $ \vec{0} $ is a boundary point of $ S $.

Stuck On A Projectile Motion Question, Is My Answer Correct Or The Textbook Answer?

Show that the dot product of the points is given by: $\cos (\phi_2 - \phi_1) - \sin \phi_2 \sin \phi_1 (1- \cos (\theta_2-\theta_1))$.

Is it possible to recover a vector field from its divergence equation?

What is the initial velocity when dealing with projectile motion?

Simple explanation needed for very basic question about gradient

Divergence and curl integral surfaces

Matrix trace differentiation correctness

difference between $f(x,y)$ and $f(x(t),y(t))$?

n-th derivative of exponentiated dot-product

Can anyone explain to me this theorem? (Related to the chain rule for vector functions)

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