Question

Proof check - The multiplication of two real numbers is a real number (Cauchy sequences)

score 78 · Answer 1 · 2026-04-29 12:22:17

78

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Proof check - The multiplication of two real numbers is a real number (Cauchy sequences)

Published on 29 Apr 2026 - 12:22

score 52 · Answer 2 · 2026-04-15 16:27:20

52

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Prove that $\{a_n\}$ is a monotonically increasing sequence and it bounded by $c$.

Published on 15 Apr 2026 - 16:27

score 119 · Answer 3 · 2026-05-10 12:54:18

119

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How to prove that $2^n\not\in O(n^k)$ through proof by contradiction

Published on 10 May 2026 - 12:54

score 144 · Answer 4 · 2026-05-05 17:51:07

144

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Is this : $\sqrt{3+\sqrt{2+\sqrt{3+\sqrt{2+\sqrt{\cdots}}}}}$ irrational number?

Published on 05 May 2026 - 17:51

score 93 · Answer 5 · 2026-04-29 14:53:35

93

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Given two projections $p,q$ in a C$^{}$-algebra $E$, find all irreducible representations of $C^{}(p,q)$

Published on 29 Apr 2026 - 14:53

score 5.3k · Answer 6 · 2026-05-10 12:38:13

5.3k

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Proof of a property on convex and $\beta$-smooth functions

Published on 10 May 2026 - 12:38

score 1.3k · Answer 7 · 2026-05-10 12:36:59

1.3k

Views

Proof on property of convex and $\beta$-smooth function - missing term?

Published on 10 May 2026 - 12:36

score 1.1k · Answer 8 · 2026-05-10 12:35:47

1.1k

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Show that two definitions of matrix norm are in fact equivalent $\max\limits_{ x \neq 0} \dfrac{\|Ax\|}{\|x\|} = \max\limits_{\|x\| = 1} \|Ax\|$

Published on 10 May 2026 - 12:35

score 49 · Answer 9 · 2026-04-16 18:48:11

49

Views

Determine a basis for the vector space $K^S$ for $S={1, 2, ... , n}$

Published on 16 Apr 2026 - 18:48

score 227 · Answer 10 · 2026-04-14 07:56:25

227

Views

Using induction to prove a string-related equation

Published on 14 Apr 2026 - 7:56

score 425 · Answer 11 · 2026-05-10 13:46:43

425

Views

Proof check: Interchanging integration and expectation using Tonelli's theorem?

Published on 10 May 2026 - 13:46

score 2.9k · Answer 12 · 2026-05-04 14:19:56

2.9k

Views

$\mathbb{Z}[i] / (2+3i)$ has 13 elements

Published on 04 May 2026 - 14:19

score 357 · Answer 13 · 2026-05-07 20:39:38

357

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comparing sup and inf of two sets

Published on 07 May 2026 - 20:39

score 939 · Answer 14 · 2026-05-05 15:28:34

939

Views

Proof verification - the only group of order 24 without normal sylow subgroup is $S_4$.

Published on 05 May 2026 - 15:28

score 54 · Answer 15 · 2026-04-15 05:59:00

54

Views

Existence of an entire function $f.$

Published on 15 Apr 2026 - 5:59

List Question

Proof check - The multiplication of two real numbers is a real number (Cauchy sequences)

Prove that $\{a_n\}$ is a monotonically increasing sequence and it bounded by $c$.

How to prove that $2^n\not\in O(n^k)$ through proof by contradiction

Is this : $\sqrt{3+\sqrt{2+\sqrt{3+\sqrt{2+\sqrt{\cdots}}}}}$ irrational number?

Given two projections $p,q$ in a C$^{}$-algebra $E$, find all irreducible representations of $C^{}(p,q)$

Proof of a property on convex and $\beta$-smooth functions

Proof on property of convex and $\beta$-smooth function - missing term?

Show that two definitions of matrix norm are in fact equivalent $\max\limits_{ x \neq 0} \dfrac{\|Ax\|}{\|x\|} = \max\limits_{\|x\| = 1} \|Ax\|$

Determine a basis for the vector space $K^S$ for $S={1, 2, ... , n}$

Using induction to prove a string-related equation

Proof check: Interchanging integration and expectation using Tonelli's theorem?

$\mathbb{Z}[i] / (2+3i)$ has 13 elements

comparing sup and inf of two sets

Proof verification - the only group of order 24 without normal sylow subgroup is $S_4$.

Existence of an entire function $f.$

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