Question

Shouldn’t squaring the (metric) tensor give a scalar?

score 1k · Answer 1 · 2026-03-26 01:26:34

1k

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Shouldn’t squaring the (metric) tensor give a scalar?

Published on 26 Mar 2026 - 1:26

score 177 · Answer 2 · 2018-04-21 11:10:05

177

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Application of metric tensor on a second-rank tensor

Published on 21 Apr 2018 - 11:10

score 128 · Answer 3 · 2018-04-22 07:11:49

128

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Does this contradict cantor's intersection theorem?

Published on 22 Apr 2018 - 7:11

score 186 · Answer 4 · 2018-04-22 09:26:53

186

Views

Let $f : (X, d_X) \to (Y, d_Y)$ be continuous. Assume $A, B \subseteq X$ satisfy $\bar{A} = \bar{B}$. Show that $\overline{f[A]} = \overline{f[B]} $

Published on 22 Apr 2018 - 9:26

score 63 · Answer 5 · 2026-03-28 02:03:32

63

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Continuity of differential operator

Published on 28 Mar 2026 - 2:03

score 110 · Answer 6 · 2018-04-22 13:47:40

110

Views

Proving something is a metric (information UniFrac in this case).

Published on 22 Apr 2018 - 13:47

score 21 · Answer 7 · 2018-04-22 14:16:12

21

Views

$\mu(x,y)= \left[ \sum_{i=1}^{n} d_{i}^2(x_{i},y_{i}) \right]^{1/2} $ is a metric for $X=X_{i} \times \ldots \times X_{n}$.

Published on 22 Apr 2018 - 14:16

score 436 · Answer 8 · 2026-03-25 22:10:30

436

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Finding a metric to make a certain curve a circle

Published on 25 Mar 2026 - 22:10

score 282 · Answer 9 · 2018-04-22 17:09:11

282

Views

Is this a valid proof that a convergent sequence has only one limit point.

Published on 22 Apr 2018 - 17:09

score 165 · Answer 10 · 2026-03-26 23:19:59

165

Views

$(C (X,Y),d)$ is complete

Published on 26 Mar 2026 - 23:19

score 53 · Answer 11 · 2018-04-22 18:26:48

53

Views

Consider C [−1, 1]. Give examples of subspaces A ⊂ C [−1, 1] with particular properties.

Published on 22 Apr 2018 - 18:26

score 89 · Answer 12 · 2026-03-25 13:55:08

89

Views

Is $( L_p[a,b], d_p )$ is a metric space?

Published on 25 Mar 2026 - 13:55

score 760 · Answer 13 · 2018-04-24 04:02:32

760

Views

Proving a distance function

Published on 24 Apr 2018 - 4:02

score 59 · Answer 14 · 2026-03-22 15:51:36

59

Views

Show that $\phi$ achieves its maximum on the set of $1-$ Lipschitz functions in $C[0, 1]$ passing through the origin

Published on 22 Mar 2026 - 15:51

score 36 · Answer 15 · 2018-04-24 22:52:05

36

Views

Properties of the residuum of a t-norm

Published on 24 Apr 2018 - 22:52

List Question

Shouldn’t squaring the (metric) tensor give a scalar?

Application of metric tensor on a second-rank tensor

Does this contradict cantor's intersection theorem?

Let $f : (X, d_X) \to (Y, d_Y)$ be continuous. Assume $A, B \subseteq X$ satisfy $\bar{A} = \bar{B}$. Show that $\overline{f[A]} = \overline{f[B]} $

Continuity of differential operator

Proving something is a metric (information UniFrac in this case).

$\mu(x,y)= \left[ \sum_{i=1}^{n} d_{i}^2(x_{i},y_{i}) \right]^{1/2} $ is a metric for $X=X_{i} \times \ldots \times X_{n}$.

Finding a metric to make a certain curve a circle

Is this a valid proof that a convergent sequence has only one limit point.

$(C (X,Y),d)$ is complete

Consider C [−1, 1]. Give examples of subspaces A ⊂ C [−1, 1] with particular properties.

Is $( L_p[a,b], d_p )$ is a metric space?

Proving a distance function

Show that $\phi$ achieves its maximum on the set of $1-$ Lipschitz functions in $C[0, 1]$ passing through the origin

Properties of the residuum of a t-norm

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