Question

...a) Show that any metric $d$ on $X$ satisfies the above two properties. b) Show that if $d$ satisfies both the first and second properties...

score 30 · Answer 1 · 2026-04-15 01:06:49

30

Views

...a) Show that any metric $d$ on $X$ satisfies the above two properties. b) Show that if $d$ satisfies both the first and second properties...

Published on 15 Apr 2026 - 1:06

score 65 · Answer 2 · 2026-04-16 15:43:33

65

Views

On showing that the usual basis $(e_n)_{n \in \Bbb N}$ is not Schauder for $\ell^\infty.$

Published on 16 Apr 2026 - 15:43

score 109 · Answer 3 · 2026-04-12 06:06:50

109

Views

Seeking elegant proof of $\sum_{cyc}\cot(x-y)\cot(y-z)=1$

Published on 12 Apr 2026 - 6:06

score 95 · Answer 4 · 2026-04-18 08:07:44

95

Views

Weakening the assumptions for showing that a local ring homomorphism is surjective

Published on 18 Apr 2026 - 8:07

score 68 · Answer 5 · 2026-04-11 13:08:05

68

Views

Proof verification / Help understanding a step in a proof about probability and brownian motions

Published on 11 Apr 2026 - 13:08

score 85 · Answer 6 · 2026-04-20 06:44:02

85

Views

Simpler proofs of necessary conditions for $(A+B)^2 = A^2 + 2AB + B^2$, with $A, B \in \mathbb{K}^{n\times n}$

Published on 20 Apr 2026 - 6:44

score 35 · Answer 7 · 2026-04-15 17:12:07

35

Views

Prove that if $A, B \in \mathbb{k}^{n\times n}$ are diagonal then $AB=BA$ where $\mathbb{k}$ is a field.

Published on 15 Apr 2026 - 17:12

score 119 · Answer 8 · 2026-04-16 00:17:42

119

Views

I am not sure if my proof that$(x^{-1})^{-1} = x$ using only the axioms of real numbers is correct

Published on 16 Apr 2026 - 0:17

score 74 · Answer 9 · 2026-04-11 11:41:13

74

Views

Deriving the general equation of a plane without using vectors

Published on 11 Apr 2026 - 11:41

score 99 · Answer 10 · 2026-04-13 04:16:14

99

Views

Can this linear algebra / geometry lemma in Humphreys be proven by induction?

Published on 13 Apr 2026 - 4:16

score 89 · Answer 11 · 2026-04-10 06:27:55

89

Views

Showing two linear spans are the same through set theory (not linear combinations)

Published on 10 Apr 2026 - 6:27

score 52 · Answer 12 · 2026-04-08 17:14:30

52

Views

Linear operator norm when symmetric

Published on 08 Apr 2026 - 17:14

score 92 · Answer 13 · 2026-04-18 15:23:36

92

Views

Alternative proofs of this Inequality

Published on 18 Apr 2026 - 15:23

score 94 · Answer 14 · 2026-04-16 08:29:05

94

Views

An indecomposable abelian group $G$ is either torsion or torsion-free

Published on 16 Apr 2026 - 8:29

score 147 · Answer 15 · 2026-04-17 13:48:28

147

Views

Proving that a statement is equivalent to the axiom of completeness

Published on 17 Apr 2026 - 13:48

List Question

...a) Show that any metric $d$ on $X$ satisfies the above two properties. b) Show that if $d$ satisfies both the first and second properties...

On showing that the usual basis $(e_n)_{n \in \Bbb N}$ is not Schauder for $\ell^\infty.$

Seeking elegant proof of $\sum_{cyc}\cot(x-y)\cot(y-z)=1$

Weakening the assumptions for showing that a local ring homomorphism is surjective

Proof verification / Help understanding a step in a proof about probability and brownian motions

Simpler proofs of necessary conditions for $(A+B)^2 = A^2 + 2AB + B^2$, with $A, B \in \mathbb{K}^{n\times n}$

Prove that if $A, B \in \mathbb{k}^{n\times n}$ are diagonal then $AB=BA$ where $\mathbb{k}$ is a field.

I am not sure if my proof that$(x^{-1})^{-1} = x$ using only the axioms of real numbers is correct

Deriving the general equation of a plane without using vectors

Can this linear algebra / geometry lemma in Humphreys be proven by induction?

Showing two linear spans are the same through set theory (not linear combinations)

Linear operator norm when symmetric

Alternative proofs of this Inequality

An indecomposable abelian group $G$ is either torsion or torsion-free

Proving that a statement is equivalent to the axiom of completeness

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