Question

Maximize product of two sines given sum of angles

score 68 · Answer 1 · 2026-04-15 03:44:43

68

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Maximize product of two sines given sum of angles

Published on 15 Apr 2026 - 3:44

score 246 · Answer 2 · 2026-04-17 06:12:53

246

Views

Prove/disprove: Let $G$ a simple infinite group $\implies$ $G$ doesn't have a proper subgroup of finite index.

Published on 17 Apr 2026 - 6:12

score 122 · Answer 3 · 2026-04-14 00:17:02

122

Views

Exact value of $\sin(10°)$ : is my method a good one?

Published on 14 Apr 2026 - 0:17

score 54 · Answer 4 · 2026-04-15 14:04:19

54

Views

limit of $\int_{[0,n]\times \mathbb[0,n]}e^{-(x^3+y^2)}dxdy$, as $n\to\infty$

Published on 15 Apr 2026 - 14:04

score 74 · Answer 5 · 2026-04-16 07:25:53

74

Views

If $f:X→X$ is a bijection then is $g(x):=\begin{cases}f(x),\,\text{if }x∈Y\\x,\,\text{otherwise}\end{cases}$ with $Y∈\mathcal P(X)$ a bijection too?

Published on 16 Apr 2026 - 7:25

score 41 · Answer 6 · 2026-04-13 16:28:36

41

Views

Showing $I_1$ is a metric, checking one property

Published on 13 Apr 2026 - 16:28

score 33 · Answer 7 · 2026-04-16 05:09:10

33

Views

Need help with using fitch system for this proof: Given ¬q, (¬p⇒(¬q⇒¬r)), (s∨r), (s⇒t), and (p⇒t), prove t.

Published on 16 Apr 2026 - 5:09

score 82 · Answer 8 · 2026-04-16 07:00:46

82

Views

Proof: Let $x$, $y \in Q$, $y > 0$, $x > 1$. Then there is an integer $n$ such that $x^n < y ≤ x^{n+1}$.

Published on 16 Apr 2026 - 7:00

score 181 · Answer 9 · 2026-04-14 21:02:55

181

Views

Showing that $\varinjlim (L_i \otimes M_i) \cong \varinjlim L_i \otimes \varinjlim M_i$

Published on 14 Apr 2026 - 21:02

score 21 · Answer 10 · 2026-04-16 07:48:45

21

Views

Proving the Equivalence of Function Continuity and Sequential Compactness of Graph in Metric Spaces

Published on 16 Apr 2026 - 7:48

score 94 · Answer 11 · 2026-04-14 03:55:32

94

Views

But can't the $\pi$th root of $-1$ also be $\frac1{e^i}$?

Published on 14 Apr 2026 - 3:55

score 61 · Answer 12 · 2026-04-14 03:14:13

61

Views

Rudin's PMA, Chapter 1 Appendix Proof of Theorem 1.19 Step 6 - Proof of (M4)

Published on 14 Apr 2026 - 3:14

score 76 · Answer 13 · 2026-04-13 21:47:25

76

Views

Let $\alpha \in \mathbb{C}$ and $\alpha\neq 0$, then there exists two unique complex number whose square is $\alpha$.

Published on 13 Apr 2026 - 21:47

score 231 · Answer 14 · 2026-05-15 15:09:15

231

Views

Brezis' exercise 6.1: a compact operator in $\ell^p$

Published on 15 May 2026 - 15:09

score 143 · Answer 15 · 2026-04-09 15:23:58

143

Views

Brezis' exercise 6.2.1: If $E$ is reflexive, then $T(B_E)$ is closed in norm topology

Published on 09 Apr 2026 - 15:23

List Question

Maximize product of two sines given sum of angles

Prove/disprove: Let $G$ a simple infinite group $\implies$ $G$ doesn't have a proper subgroup of finite index.

Exact value of $\sin(10°)$ : is my method a good one?

limit of $\int_{[0,n]\times \mathbb[0,n]}e^{-(x^3+y^2)}dxdy$, as $n\to\infty$

If $f:X→X$ is a bijection then is $g(x):=\begin{cases}f(x),\,\text{if }x∈Y\\x,\,\text{otherwise}\end{cases}$ with $Y∈\mathcal P(X)$ a bijection too?

Showing $I_1$ is a metric, checking one property

Need help with using fitch system for this proof: Given ¬q, (¬p⇒(¬q⇒¬r)), (s∨r), (s⇒t), and (p⇒t), prove t.

Proof: Let $x$, $y \in Q$, $y > 0$, $x > 1$. Then there is an integer $n$ such that $x^n < y ≤ x^{n+1}$.

Showing that $\varinjlim (L_i \otimes M_i) \cong \varinjlim L_i \otimes \varinjlim M_i$

Proving the Equivalence of Function Continuity and Sequential Compactness of Graph in Metric Spaces

But can't the $\pi$th root of $-1$ also be $\frac1{e^i}$?

Rudin's PMA, Chapter 1 Appendix Proof of Theorem 1.19 Step 6 - Proof of (M4)

Let $\alpha \in \mathbb{C}$ and $\alpha\neq 0$, then there exists two unique complex number whose square is $\alpha$.

Brezis' exercise 6.1: a compact operator in $\ell^p$

Brezis' exercise 6.2.1: If $E$ is reflexive, then $T(B_E)$ is closed in norm topology

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