Question

Proof that series converges in probability.

score 146 · Answer 1 · 2018-04-09 14:32:43

146

Views

Proof that series converges in probability.

Published on 09 Apr 2018 - 14:32

score 169 · Answer 2 · 2026-03-29 13:27:16

169

Views

Finding a flaw in a proof that $(A\cup C)\times (B \cup D)\subseteq(A\times B)\cup(C\times D)$

Published on 29 Mar 2026 - 13:27

score 56 · Answer 3 · 2018-04-09 17:11:29

56

Views

Prove $\forall A,B(\:\mathcal{P}(A)\cup\mathcal{P}(B)\subset\mathcal{P}(A\cup B)\:)$

Published on 09 Apr 2018 - 17:11

score 161 · Answer 4 · 2018-04-09 18:01:08

161

Views

How to prove convergence for multiplying sequences?

Published on 09 Apr 2018 - 18:01

score 86 · Answer 5 · 2026-03-22 18:37:10

86

Views

Let $S$ be a metric space, $ f: S \to \Bbb R$ continuous. Define $Z(f) = \{p \in S : f(p) = 0 \}$. Prove $Z(f)$ is closed.

Published on 22 Mar 2026 - 18:37

score 36 · Answer 6 · 2018-04-09 20:46:27

36

Views

Show that $f(x)$ is continuous at $x = 0$...

Published on 09 Apr 2018 - 20:46

score 43 · Answer 7 · 2026-03-25 06:09:55

43

Views

$E$ Banach space, $K: E \to E$ compact $\Rightarrow$ if $\lambda \neq 0 \in \sigma(K)$, $\lambda$ is eigenvalue

Published on 25 Mar 2026 - 6:09

score 536 · Answer 8 · 2026-03-25 06:09:58

536

Views

Separable dual implies space is weakly metrisable

Published on 25 Mar 2026 - 6:09

score 53 · Answer 9 · 2018-04-09 23:31:47

53

Views

How to prove convergent sequences by definition?

Published on 09 Apr 2018 - 23:31

score 277 · Answer 10 · 2018-04-10 05:20:53

277

Views

Use the Sequential Continuity Theorem to show that the function $f(x)$ is discontinuous at $x = 0$

Published on 10 Apr 2018 - 5:20

score 81 · Answer 11 · 2026-03-25 03:06:58

81

Views

Given any Cauchy Sequence $S = (a_n)_{n=0}^{\infty}$ is Bounded.

Published on 25 Mar 2026 - 3:06

score 233 · Answer 12 · 2026-03-25 11:03:21

233

Views

How to determine existence of greatest and least element on order relation over non numbers?

Published on 25 Mar 2026 - 11:03

score 743 · Answer 13 · 2026-03-25 09:24:52

743

Views

Lambda Calculus – Defining (and checking) Predecessor combinator for Church numerals

Published on 25 Mar 2026 - 9:24

score 280 · Answer 14 · 2026-03-25 06:27:56

280

Views

CheckMyProof: $f$ is bounded, uniformly continuous $\implies e^{f}$ is bounded, uniformly cts.

Published on 25 Mar 2026 - 6:27

score 1.1k · Answer 15 · 2026-03-26 01:18:00

1.1k

Views

Proving the infinite direct sum of orthogonal closed subspaces of a hilbert space is a closed linear subspace

Published on 26 Mar 2026 - 1:18

List Question

Proof that series converges in probability.

Finding a flaw in a proof that $(A\cup C)\times (B \cup D)\subseteq(A\times B)\cup(C\times D)$

Prove $\forall A,B(\:\mathcal{P}(A)\cup\mathcal{P}(B)\subset\mathcal{P}(A\cup B)\:)$

How to prove convergence for multiplying sequences?

Let $S$ be a metric space, $ f: S \to \Bbb R$ continuous. Define $Z(f) = \{p \in S : f(p) = 0 \}$. Prove $Z(f)$ is closed.

Show that $f(x)$ is continuous at $x = 0$...

$E$ Banach space, $K: E \to E$ compact $\Rightarrow$ if $\lambda \neq 0 \in \sigma(K)$, $\lambda$ is eigenvalue

Separable dual implies space is weakly metrisable

How to prove convergent sequences by definition?

Use the Sequential Continuity Theorem to show that the function $f(x)$ is discontinuous at $x = 0$

Given any Cauchy Sequence $S = (a_n)_{n=0}^{\infty}$ is Bounded.

How to determine existence of greatest and least element on order relation over non numbers?

Lambda Calculus – Defining (and checking) Predecessor combinator for Church numerals

CheckMyProof: $f$ is bounded, uniformly continuous $\implies e^{f}$ is bounded, uniformly cts.

Proving the infinite direct sum of orthogonal closed subspaces of a hilbert space is a closed linear subspace

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