Question

Existence of a subset such the product of its elements is a perfect square

score 260 · Answer 1 · 2026-05-15 13:23:55

260

Views

Existence of a subset such the product of its elements is a perfect square

Published on 15 May 2026 - 13:23

score 73 · Answer 2 · 2026-05-03 07:07:09

73

Views

Prove these differently written de morgan laws

Published on 03 May 2026 - 7:07

score 60 · Answer 3 · 2026-04-14 05:18:18

60

Views

Prove $a^x> x^a$ for all $x>c$, for some real $c$. $(a>1)$

Published on 14 Apr 2026 - 5:18

score 48 · Answer 4 · 2026-04-15 00:39:01

48

Views

Solution-Verification: Find $\lim\limits_{x \to 0}\frac{xf(u)}{uf(x)}$.

Published on 15 Apr 2026 - 0:39

score 1.5k · Answer 5 · 2026-04-15 18:46:23

1.5k

Views

$\{a_n\}$ be a sequence such that $ a_{n+1}^2-2a_na_{n+1}-a_n=0$, then $\sum_1^{\infty}\frac{a_n}{3^n}$ lies in...

Published on 15 Apr 2026 - 18:46

score 240 · Answer 6 · 2026-04-23 20:54:56

240

Views

If $\sum a_n$ converges, then $\sum a_n^{\frac{n}{n+1}}$ converges as well.

Published on 23 Apr 2026 - 20:54

score 40 · Answer 7 · 2026-04-16 13:20:23

40

Views

Prove that there is no retraction from $X$ to the image of a loop $\gamma(t)$

Published on 16 Apr 2026 - 13:20

score 139 · Answer 8 · 2026-04-16 00:27:27

139

Views

Proof verification for $(A-B)-C = (A-C)-(B-C)$

Published on 16 Apr 2026 - 0:27

score 60 · Answer 9 · 2026-04-12 08:35:32

60

Views

Elementary question on quotient group construction

Published on 12 Apr 2026 - 8:35

score 158 · Answer 10 · 2026-04-11 21:37:12

158

Views

$f$ being irreducible over $\mathbb{Z}_{p}$ implies all equivalent polynomials of $f$ in $\mathbb{Z}[x]$ will be irreducible over $\mathbb{Z}$

Published on 11 Apr 2026 - 21:37

score 149 · Answer 11 · 2026-04-17 05:53:42

149

Views

Why doesn't the substitution $x=it$ work in the integral $\int\frac{x^2}{{(x^2+1)}^2}dx$?

Published on 17 Apr 2026 - 5:53

score 45 · Answer 12 · 2026-04-14 14:27:15

45

Views

If $\sum a_n$ is convergent but not absolutely, then $\sum a_n^+$ diverges

Published on 14 Apr 2026 - 14:27

score 39 · Answer 13 · 2026-04-15 09:42:57

39

Views

Let $V=\text{Span}(v_1,\dots,v_k)$. Prove $\exists$ mutually orthogonal vectors $w_1,\dots,w_k\in V$ that also span $V$.

Published on 15 Apr 2026 - 9:42

score 500 · Answer 14 · 2026-04-11 15:17:39

500

Views

Proof verification: At most countably many local maxima

Published on 11 Apr 2026 - 15:17

score 136 · Answer 15 · 2026-04-09 01:44:12

136

Views

About Baire's theorem

Published on 09 Apr 2026 - 1:44

List Question

Existence of a subset such the product of its elements is a perfect square

Prove these differently written de morgan laws

Prove $a^x> x^a$ for all $x>c$, for some real $c$. $(a>1)$

Solution-Verification: Find $\lim\limits_{x \to 0}\frac{xf(u)}{uf(x)}$.

$\{a_n\}$ be a sequence such that $ a_{n+1}^2-2a_na_{n+1}-a_n=0$, then $\sum_1^{\infty}\frac{a_n}{3^n}$ lies in...

If $\sum a_n$ converges, then $\sum a_n^{\frac{n}{n+1}}$ converges as well.

Prove that there is no retraction from $X$ to the image of a loop $\gamma(t)$

Proof verification for $(A-B)-C = (A-C)-(B-C)$

Elementary question on quotient group construction

$f$ being irreducible over $\mathbb{Z}_{p}$ implies all equivalent polynomials of $f$ in $\mathbb{Z}[x]$ will be irreducible over $\mathbb{Z}$

Why doesn't the substitution $x=it$ work in the integral $\int\frac{x^2}{{(x^2+1)}^2}dx$?

If $\sum a_n$ is convergent but not absolutely, then $\sum a_n^+$ diverges

Let $V=\text{Span}(v_1,\dots,v_k)$. Prove $\exists$ mutually orthogonal vectors $w_1,\dots,w_k\in V$ that also span $V$.

Proof verification: At most countably many local maxima

About Baire's theorem

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