Question

Find the recurrence relationship and the general solution

score 57 · Answer 1 · 2026-03-27 06:51:16

57

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Find the recurrence relationship and the general solution

Published on 27 Mar 2026 - 6:51

score 48 · Answer 2 · 2026-04-02 07:53:53

48

Views

Checking the continuity and differentiability of a function defined on a non-connected set of $\mathbb{R}$

Published on 02 Apr 2026 - 7:53

score 54 · Answer 3 · 2026-04-02 07:55:56

54

Views

Let $f\colon\mathbb{R}\to\mathbb{R}$ be continuous. If $f(r)=0$ for $r\in\mathbb{Q}$. Show that $f=0$.

Published on 02 Apr 2026 - 7:55

score 167 · Answer 4 · 2026-03-25 16:01:07

167

Views

$f(x-y)=f(x)f(y)$

Published on 25 Mar 2026 - 16:01

score 43 · Answer 5 · 2018-06-04 09:57:23

43

Views

How to find derivative of $y= \sin(x)^{\cos(x)-1}$??

Published on 04 Jun 2018 - 9:57

score 470 · Answer 6 · 2026-03-31 19:14:57

470

Views

Given a System of Differential Equations, Show All Solutions in Phase Portrait are Elliptical

Published on 31 Mar 2026 - 19:14

score 503 · Answer 7 · 2026-03-25 04:59:33

503

Views

If $\{q_\alpha: X_\alpha \to Y_\alpha\}$ is a family of quotient maps, then $q:\coprod_\alpha X_\alpha \to \coprod_\alpha Y_\alpha$ is a quotient map.

Published on 25 Mar 2026 - 4:59

score 476 · Answer 8 · 2018-06-04 19:23:34

476

Views

Prove that the equation $x^2=y$ has a unique solution

Published on 04 Jun 2018 - 19:23

score 73 · Answer 9 · 2026-03-25 12:53:14

73

Views

Proof that $(1^2 + 2^2 + \cdots + n^2)^n > n^n (n!)^2$

Published on 25 Mar 2026 - 12:53

score 53 · Answer 10 · 2026-03-25 21:00:07

53

Views

Relatively prime and divisibility proof

Published on 25 Mar 2026 - 21:00

score 58 · Answer 11 · 2026-03-28 16:04:37

58

Views

Part of proving a set is a subspace of $\mathbb{R}^3$

Published on 28 Mar 2026 - 16:04

score 597 · Answer 12 · 2018-06-05 04:52:45

597

Views

Let $Σ$ be a set of formulas in a language L. Prove that if $Σ$ is complete, then it is maximal consistent.

Published on 05 Jun 2018 - 4:52

score 269 · Answer 13 · 2026-03-25 06:04:25

269

Views

Is this considered a disproof of $1+2+3+4\ldots=-\frac{1}{12}$?

Published on 25 Mar 2026 - 6:04

score 139 · Answer 14 · 2026-03-26 06:22:26

139

Views

Sum of independent r.v. converge in distribution to Poisson(1)

Published on 26 Mar 2026 - 6:22

score 34 · Answer 15 · 2018-06-05 12:31:19

34

Views

Stuck on a proof by Skylarenko lemma 1

Published on 05 Jun 2018 - 12:31

List Question

Find the recurrence relationship and the general solution

Checking the continuity and differentiability of a function defined on a non-connected set of $\mathbb{R}$

Let $f\colon\mathbb{R}\to\mathbb{R}$ be continuous. If $f(r)=0$ for $r\in\mathbb{Q}$. Show that $f=0$.

$f(x-y)=f(x)f(y)$

How to find derivative of $y= \sin(x)^{\cos(x)-1}$??

Given a System of Differential Equations, Show All Solutions in Phase Portrait are Elliptical

If $\{q_\alpha: X_\alpha \to Y_\alpha\}$ is a family of quotient maps, then $q:\coprod_\alpha X_\alpha \to \coprod_\alpha Y_\alpha$ is a quotient map.

Prove that the equation $x^2=y$ has a unique solution

Proof that $(1^2 + 2^2 + \cdots + n^2)^n > n^n (n!)^2$

Relatively prime and divisibility proof

Part of proving a set is a subspace of $\mathbb{R}^3$

Let $Σ$ be a set of formulas in a language L. Prove that if $Σ$ is complete, then it is maximal consistent.

Is this considered a disproof of $1+2+3+4\ldots=-\frac{1}{12}$?

Sum of independent r.v. converge in distribution to Poisson(1)

Stuck on a proof by Skylarenko lemma 1

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