Question

one-point-compactification of $\mathbb{N}$ is homeomorph to $\{0\}\cup \{1/n| n \in\mathbb{N}\}$

score 670 · Answer 1 · 2026-04-17 11:48:54

670

Views

one-point-compactification of $\mathbb{N}$ is homeomorph to $\{0\}\cup \{1/n| n \in\mathbb{N}\}$

Published on 17 Apr 2026 - 11:48

score 123 · Answer 2 · 2026-04-16 23:18:58

123

Views

Prove that $2^{2^{2^{\cdot^{\cdot^{2}}}}} \mod 9 = 7$

Published on 16 Apr 2026 - 23:18

score 95 · Answer 3 · 2026-05-11 03:17:22

95

Views

Finding the Convergence Domain of the Taylor series of $\sin (z_1 + z_2^2)$ at the origin

Published on 11 May 2026 - 3:17

score 562 · Answer 4 · 2026-04-30 10:23:00

562

Views

Find all pairs $(x, y)$ with $x, y$ real, satisfying the equations: $\sin\frac{(x+y)}2=0$ & $|x| + |y| = 1$

Published on 30 Apr 2026 - 10:23

score 240 · Answer 5 · 2026-04-16 19:54:21

240

Views

Determine the dimension $\dim$ and a basis of $U_1$,$U_2$, $U_1+U_2$ and $U_1\cap U_2$ in each case.

Published on 16 Apr 2026 - 19:54

score 39 · Answer 6 · 2026-04-16 15:42:01

39

Views

How to multiply both sides of $\frac{5}{X_1-X_2} > 10$ by $X_1-X_2$ when $X_i$ are independently drawn random variables?

Published on 16 Apr 2026 - 15:42

score 138 · Answer 7 · 2026-04-09 18:20:28

138

Views

Proof verification: totally bounded iff every filter has a cauchy superfilter

Published on 09 Apr 2026 - 18:20

score 1.1k · Answer 8 · 2026-04-14 20:29:00

1.1k

Views

Given $f$ is continuous and $f(x)=f(e^{t}x)$ for all $x\in\mathbb{R}$ and $t\ge0$, show that $f$ is constant function

Published on 14 Apr 2026 - 20:29

score 882 · Answer 9 · 2026-05-11 06:36:10

882

Views

Functions of Bounded Variation Have Left and Right Limits

Published on 11 May 2026 - 6:36

score 31 · Answer 10 · 2026-05-11 01:25:08

31

Views

If a relation is terminating, then well-founded induction holds.

Published on 11 May 2026 - 1:25

score 118 · Answer 11 · 2026-04-13 21:09:34

118

Views

Solution verification of a periodic orbits existence in a system of differential equations.

Published on 13 Apr 2026 - 21:09

score 81 · Answer 12 · 2026-04-13 23:20:11

81

Views

Prove that $\sin(ax+b)$ is continuous using $|\sin x| < |x|$

Published on 13 Apr 2026 - 23:20

score 671 · Answer 13 · 2026-04-10 06:13:45

671

Views

Proof that for a binomial distribution, varX = npq

Published on 10 Apr 2026 - 6:13

score 81 · Answer 14 · 2026-04-11 13:28:14

81

Views

Showing that a harmonic function is 0

Published on 11 Apr 2026 - 13:28

score 82 · Answer 15 · 2026-04-15 03:10:57

82

Views

Proof of Corollary 8.12 in Schilling's "Measures, Integrals and Martingales"?

Published on 15 Apr 2026 - 3:10

List Question

one-point-compactification of $\mathbb{N}$ is homeomorph to $\{0\}\cup \{1/n| n \in\mathbb{N}\}$

Prove that $2^{2^{2^{\cdot^{\cdot^{2}}}}} \mod 9 = 7$

Finding the Convergence Domain of the Taylor series of $\sin (z_1 + z_2^2)$ at the origin

Find all pairs $(x, y)$ with $x, y$ real, satisfying the equations: $\sin\frac{(x+y)}2=0$ & $|x| + |y| = 1$

Determine the dimension $\dim$ and a basis of $U_1$,$U_2$, $U_1+U_2$ and $U_1\cap U_2$ in each case.

How to multiply both sides of $\frac{5}{X_1-X_2} > 10$ by $X_1-X_2$ when $X_i$ are independently drawn random variables?

Proof verification: totally bounded iff every filter has a cauchy superfilter

Given $f$ is continuous and $f(x)=f(e^{t}x)$ for all $x\in\mathbb{R}$ and $t\ge0$, show that $f$ is constant function

Functions of Bounded Variation Have Left and Right Limits

If a relation is terminating, then well-founded induction holds.

Solution verification of a periodic orbits existence in a system of differential equations.

Prove that $\sin(ax+b)$ is continuous using $|\sin x| < |x|$

Proof that for a binomial distribution, varX = npq

Showing that a harmonic function is 0

Proof of Corollary 8.12 in Schilling's "Measures, Integrals and Martingales"?

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