Question

Product space of Circle and interval is homeomorphic to annulus

score 330 · Answer 1 · 2026-04-17 09:44:06

330

Views

Product space of Circle and interval is homeomorphic to annulus

Published on 17 Apr 2026 - 9:44

score 190 · Answer 2 · 2026-04-16 14:21:45

190

Views

Family of Integrals $\int_0^{\frac{\pi}{2}} {\left(\frac{\sin{(ax)}}{\sin{(bx)}}\right)}^{2n} \; dx$

Published on 16 Apr 2026 - 14:21

score 361 · Answer 3 · 2026-04-12 16:42:39

361

Views

If $f$ is a open and continuous function then $f$ is injective.

Published on 12 Apr 2026 - 16:42

score 978 · Answer 4 · 2026-04-17 15:58:09

978

Views

Degenerate simplex is the degeneracy of a unique non-degenerate simplex

Published on 17 Apr 2026 - 15:58

score 128 · Answer 5 · 2026-04-10 01:34:11

128

Views

Linear-programming, object function

Published on 10 Apr 2026 - 1:34

score 42 · Answer 6 · 2026-04-17 09:44:54

42

Views

Proof that $(\forall x)(x \in \mathbb{F} \rightarrow x\cdot e = e \cdot x = e)$

Published on 17 Apr 2026 - 9:44

score 461 · Answer 7 · 2026-04-14 16:14:29

461

Views

Prove complex numbers $a$ and $b$ are antipodal under stereographic projection $\iff a \overline{b} = -1$

Published on 14 Apr 2026 - 16:14

score 252 · Answer 8 · 2026-04-13 02:50:59

252

Views

How do I show that the set of limit points of $\{x_n\}$ is connected?

Published on 13 Apr 2026 - 2:50

score 1.2k · Answer 9 · 2026-04-14 10:51:45

1.2k

Views

Prove that a function between metric spaces is continuous iff the preimage of any open set in the codomain space is an open set.

Published on 14 Apr 2026 - 10:51

score 6k · Answer 10 · 2026-04-15 11:31:56

6k

Views

Prove $\cos^2(\theta)+\sin^2(\theta) = 1$

Published on 15 Apr 2026 - 11:31

score 89 · Answer 11 · 2026-04-11 13:09:39

Does proving the equivalence between a function being analytic and being holomorphic imply that a holomorphic function is infinitely differentiable?

score 221 · Answer 12 · 2026-04-07 20:27:01

221

Views

Proof verification: Baby Rudin Chapter 6 Exercise 4

Published on 07 Apr 2026 - 20:27

score 53 · Answer 13 · 2026-04-13 18:12:34

53

Views

Prove $\lim_{x \to a} \Re f(x) = \Re A$ and $\lim_{x \to a} \Im f(x) = \Im A$

Published on 13 Apr 2026 - 18:12

score 55 · Answer 14 · 2026-04-14 21:35:49

55

Views

If $x[n] = 0$ for $n < N_1$ and $h[n] = 0$ for $n < N_2$, then $x[n] * h[n] = 0$ for $n < N_1 + N_2$.

Published on 14 Apr 2026 - 21:35

score 195 · Answer 15 · 2026-04-11 10:33:10

195

Views

Proof Verification: Baby Rudin Chapter 4 Exercise 9

Published on 11 Apr 2026 - 10:33

List Question

Product space of Circle and interval is homeomorphic to annulus

Family of Integrals $\int_0^{\frac{\pi}{2}} {\left(\frac{\sin{(ax)}}{\sin{(bx)}}\right)}^{2n} \; dx$

If $f$ is a open and continuous function then $f$ is injective.

Degenerate simplex is the degeneracy of a unique non-degenerate simplex

Linear-programming, object function

Proof that $(\forall x)(x \in \mathbb{F} \rightarrow x\cdot e = e \cdot x = e)$

Prove complex numbers $a$ and $b$ are antipodal under stereographic projection $\iff a \overline{b} = -1$

How do I show that the set of limit points of $\{x_n\}$ is connected?

Prove that a function between metric spaces is continuous iff the preimage of any open set in the codomain space is an open set.

Prove $\cos^2(\theta)+\sin^2(\theta) = 1$

Does proving the equivalence between a function being analytic and being holomorphic imply that a holomorphic function is infinitely differentiable?

Proof verification: Baby Rudin Chapter 6 Exercise 4

Prove $\lim_{x \to a} \Re f(x) = \Re A$ and $\lim_{x \to a} \Im f(x) = \Im A$

If $x[n] = 0$ for $n < N_1$ and $h[n] = 0$ for $n < N_2$, then $x[n] * h[n] = 0$ for $n < N_1 + N_2$.

Proof Verification: Baby Rudin Chapter 4 Exercise 9

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