Question

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

score 72 · Answer 1 · 2026-03-20 10:49:40

72

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

Published on 20 Mar 2026 - 10:49

score 49 · Answer 2 · 2018-01-18 14:43:00

49

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

Published on 18 Jan 2018 - 14:43

score 112 · Answer 3 · 2026-03-17 22:48:19

112

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

Published on 17 Mar 2026 - 22:48

score 136 · Answer 4 · 2026-03-17 14:05:03

136

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

Published on 17 Mar 2026 - 14:05

score 88 · Answer 5 · 2026-03-22 09:15:33

88

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

Published on 22 Mar 2026 - 9:15

score 5.3k · Answer 6 · 2026-03-24 19:09:00

5.3k

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

Published on 24 Mar 2026 - 19:09

score 1.3k · Answer 7 · 2026-03-24 19:08:41

1.3k

Views

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

Published on 24 Mar 2026 - 19:08

score 1.1k · Answer 8 · 2018-01-18 21:56:53

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 18 Jan 2018 - 21:56

score 46 · Answer 9 · 2018-01-18 23:50:31

46

Views

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

Published on 18 Jan 2018 - 23:50

score 224 · Answer 10 · 2026-03-17 09:29:12

224

Views

Using induction to prove a string-related equation

Published on 17 Mar 2026 - 9:29

score 421 · Answer 11 · 2018-01-19 02:31:50

421

Views

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

Published on 19 Jan 2018 - 2:31

score 2.9k · Answer 12 · 2026-03-17 16:19:02

2.9k

Views

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

Published on 17 Mar 2026 - 16:19

score 343 · Answer 13 · 2026-03-22 05:23:11

343

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comparing sup and inf of two sets

Published on 22 Mar 2026 - 5:23

score 930 · Answer 14 · 2026-03-17 18:02:50

930

Views

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

Published on 17 Mar 2026 - 18:02

score 51 · Answer 15 · 2018-01-19 13:55:26

51

Views

Existence of an entire function $f.$

Published on 19 Jan 2018 - 13:55

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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