Question

Is the sum of an alternating series satisfies the following inequality

score 130 · Answer 1 · 2026-04-13 03:24:47

130

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Is the sum of an alternating series satisfies the following inequality

Published on 13 Apr 2026 - 3:24

score 54 · Answer 2 · 2026-04-22 21:34:40

54

Views

$f:\mathbb{R}\rightarrow\mathbb{R^2}$ such that $|f(x)-f(y)|\leq\sqrt{|x-y|}$ for every $x,y\in\mathbb{R}$. Show $m_2(f(A))=0$

Published on 22 Apr 2026 - 21:34

score 250 · Answer 3 · 2026-04-17 08:46:20

250

Views

$4$-element subset of $\{1..6\}$ that includes $1$ or $4$, and $2$ or $5$, and $3$ or $6$?

Published on 17 Apr 2026 - 8:46

score 33 · Answer 4 · 2026-04-16 10:43:23

33

Views

Proof Verification: $(x^n)_{n=1}^{\infty}$ diverges when $x>1$

Published on 16 Apr 2026 - 10:43

score 69 · Answer 5 · 2026-04-15 00:05:11

69

Views

Proving that $g\circ f$ is injective if $f$ and $g$ are injective. [Verification]

Published on 15 Apr 2026 - 0:05

score 84 · Answer 6 · 2026-04-17 03:45:24

84

Views

Prove that if $f$ is bijective, then $f^{-1}$ is bijective. [Verification]

Published on 17 Apr 2026 - 3:45

score 24 · Answer 7 · 2026-04-17 10:32:27

24

Views

Solution verification finding generating sets

Published on 17 Apr 2026 - 10:32

score 247 · Answer 8 · 2026-04-14 10:47:39

247

Views

proof verification: algebraic extension (of F) containing all zeros of F[x] is algebraically closed.

Published on 14 Apr 2026 - 10:47

score 639 · Answer 9 · 2026-04-14 19:17:19

639

Views

Show that the solution of the equation $x^5-2x^3-3=0$ are all less than 2 (using proof by contradiction).

Published on 14 Apr 2026 - 19:17

score 92 · Answer 10 · 2026-04-11 22:21:55

92

Views

A theorem about sequences Cauchy in measure (Folland's Book)

Published on 11 Apr 2026 - 22:21

score 200 · Answer 11 · 2026-04-14 23:29:48

200

Views

Sweedler Notation: $\eta\epsilon$ is the identity element of the convolution product

Published on 14 Apr 2026 - 23:29

score 185 · Answer 12 · 2026-04-15 00:27:20

185

Views

If $A$ is a rank $1$ matrix, then $A^2= \operatorname{Tr}A \cdot A$

Published on 15 Apr 2026 - 0:27

score 278 · Answer 13 · 2026-04-27 13:12:14

278

Views

Showing Gramian Matrix Positive Definite Using Outer Product

Published on 27 Apr 2026 - 13:12

score 214 · Answer 14 · 2026-04-10 18:28:58

214

Views

Borel-Cantelli Lemma Proof Verification

Published on 10 Apr 2026 - 18:28

score 64 · Answer 15 · 2026-04-17 10:22:17

64

Views

Evaluate $\lim_{x\to 0} \frac {\tan( [-\pi^2]x^2)- \tan^2( [-\pi^2]x^2)}{\sin^2x}$

Published on 17 Apr 2026 - 10:22

List Question

Is the sum of an alternating series satisfies the following inequality

$f:\mathbb{R}\rightarrow\mathbb{R^2}$ such that $|f(x)-f(y)|\leq\sqrt{|x-y|}$ for every $x,y\in\mathbb{R}$. Show $m_2(f(A))=0$

$4$-element subset of $\{1..6\}$ that includes $1$ or $4$, and $2$ or $5$, and $3$ or $6$?

Proof Verification: $(x^n)_{n=1}^{\infty}$ diverges when $x>1$

Proving that $g\circ f$ is injective if $f$ and $g$ are injective. [Verification]

Prove that if $f$ is bijective, then $f^{-1}$ is bijective. [Verification]

Solution verification finding generating sets

proof verification: algebraic extension (of F) containing all zeros of F[x] is algebraically closed.

Show that the solution of the equation $x^5-2x^3-3=0$ are all less than 2 (using proof by contradiction).

A theorem about sequences Cauchy in measure (Folland's Book)

Sweedler Notation: $\eta\epsilon$ is the identity element of the convolution product

If $A$ is a rank $1$ matrix, then $A^2= \operatorname{Tr}A \cdot A$

Showing Gramian Matrix Positive Definite Using Outer Product

Borel-Cantelli Lemma Proof Verification

Evaluate $\lim_{x\to 0} \frac {\tan( [-\pi^2]x^2)- \tan^2( [-\pi^2]x^2)}{\sin^2x}$

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