Question

Solve $\lvert \sin (\alpha x) \rvert = \beta x$ for $x \in \mathbb{R}$ for any $(\alpha, \beta) \in \mathbb{R}$ given

score 50 · Answer 1 · 2026-03-25 01:16:29

50

Views

Solve $\lvert \sin (\alpha x) \rvert = \beta x$ for $x \in \mathbb{R}$ for any $(\alpha, \beta) \in \mathbb{R}$ given

Published on 25 Mar 2026 - 1:16

score 111 · Answer 2 · 2026-03-25 09:28:36

111

Views

Proving that for $x \neq 0$ there exists a $y$ such that $S(y) = x$.

Published on 25 Mar 2026 - 9:28

score 749 · Answer 3 · 2026-03-26 14:20:25

749

Views

How to prove a sequence is strictly increasing and bounded above?

Published on 26 Mar 2026 - 14:20

score 474 · Answer 4 · 2026-03-25 07:34:03

474

Views

Prove the relation is an equivalence relation.

Published on 25 Mar 2026 - 7:34

score 218 · Answer 5 · 2026-03-25 13:53:44

218

Views

Can a probability measure be concentrated on a lower-dimensional space?

Published on 25 Mar 2026 - 13:53

score 41 · Answer 6 · 2018-03-31 23:43:59

41

Views

Existence of a countable subset

Published on 31 Mar 2018 - 23:43

score 66 · Answer 7 · 2026-03-26 20:55:35

66

Views

Complex Analysis - Mathematics

Published on 26 Mar 2026 - 20:55

score 101 · Answer 8 · 2018-04-01 11:10:55

101

Views

How to prove this two variable limit doesn't exist?

Published on 01 Apr 2018 - 11:10

score 371 · Answer 9 · 2026-03-30 01:30:56

371

Views

Prob. 14, Sec. 3.4, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: The supremum of a bounded sequence not in the range

Published on 30 Mar 2026 - 1:30

score 554 · Answer 10 · 2026-03-25 07:45:29

554

Views

infinitude of primes that are $11 \bmod 12$

Published on 25 Mar 2026 - 7:45

score 52 · Answer 11 · 2026-03-28 03:02:20

52

Views

Give an example of a permutation based on $\Bbb S_{10}$ and its order.

Published on 28 Mar 2026 - 3:02

score 59 · Answer 12 · 2026-03-25 07:42:29

59

Views

Doubts regarding a set exercise and proof verification

Published on 25 Mar 2026 - 7:42

score 43 · Answer 13 · 2018-04-01 13:50:45

43

Views

Compute the terms $c_2,c_3,c_4$ of a recursively defined relation $c_k=c_{k-1}+kc_{k-2}+1$ ...

Published on 01 Apr 2018 - 13:50

score 451 · Answer 14 · 2026-03-25 04:41:44

451

Views

Prove that $\operatorname{fib}(n)$ is the closest integer to $\frac{\phi^{n}}{\sqrt{5}}$

Published on 25 Mar 2026 - 4:41

score 2.3k · Answer 15 · 2018-04-01 17:59:11

2.3k

Views

Suppose that $A, B$ and $C$ are sets such that $A\subseteq B$ and $B\subseteq C$. Show that $A\subseteq C$

Published on 01 Apr 2018 - 17:59

List Question

Solve $\lvert \sin (\alpha x) \rvert = \beta x$ for $x \in \mathbb{R}$ for any $(\alpha, \beta) \in \mathbb{R}$ given

Proving that for $x \neq 0$ there exists a $y$ such that $S(y) = x$.

How to prove a sequence is strictly increasing and bounded above?

Prove the relation is an equivalence relation.

Can a probability measure be concentrated on a lower-dimensional space?

Existence of a countable subset

Complex Analysis - Mathematics

How to prove this two variable limit doesn't exist?

Prob. 14, Sec. 3.4, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: The supremum of a bounded sequence not in the range

infinitude of primes that are $11 \bmod 12$

Give an example of a permutation based on $\Bbb S_{10}$ and its order.

Doubts regarding a set exercise and proof verification

Compute the terms $c_2,c_3,c_4$ of a recursively defined relation $c_k=c_{k-1}+kc_{k-2}+1$ ...

Prove that $\operatorname{fib}(n)$ is the closest integer to $\frac{\phi^{n}}{\sqrt{5}}$

Suppose that $A, B$ and $C$ are sets such that $A\subseteq B$ and $B\subseteq C$. Show that $A\subseteq C$

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