Question

In how many ways can $3$ couples sit around a round table such that men and women alternate and none of the couples sit together?

score 101 · Answer 1 · 2026-04-16 02:37:45

101

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In how many ways can $3$ couples sit around a round table such that men and women alternate and none of the couples sit together?

Published on 16 Apr 2026 - 2:37

score 68 · Answer 2 · 2026-04-16 20:50:14

Prove that for some $k$, there are polynomials $f_1(x),f_2(x),\ldots,f_k(x)$ such that $p(x)=\sum_{j=1}^k(f_j(x))^2$

score 47 · Answer 3 · 2026-04-17 14:28:53

47

Views

$P({X^{-1}(x)}) = p$ for all $x$ then Field is finite

Published on 17 Apr 2026 - 14:28

score 129 · Answer 4 · 2026-04-17 13:47:40

129

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Evaluate $\lim_{x\to0}\frac{2-\cos(2x)-\cos(4x)}{x^2}$

Published on 17 Apr 2026 - 13:47

score 63 · Answer 5 · 2026-04-15 18:09:38

63

Views

Is my solution to Stacks Project Exercise 110.58.3 correct?

Published on 15 Apr 2026 - 18:09

score 43 · Answer 6 · 2026-04-15 22:20:13

43

Views

Position of the language $\left\{e \ \colon \phi_{e} \ \text{total and bounded}\right\}$ in the Arithmetical Hierarchy.

Published on 15 Apr 2026 - 22:20

score 87 · Answer 7 · 2026-04-15 09:05:58

87

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Show that: \[\mathbb{E}[X \mid Y=y]=\sum_{x \in X(\Omega)} x \mathbb{P}(X=x \mid Y=y)\]

Published on 15 Apr 2026 - 9:05

score 271 · Answer 8 · 2026-04-16 09:09:09

271

Views

Prove that the infinite interval $(-\infty, b)$ is an open set in $\mathbb{R}$.

Published on 16 Apr 2026 - 9:09

score 35 · Answer 9 · 2026-04-16 14:06:18

35

Views

Does this argument that the cohomology group of a CW complex is the same as that of a large enough skeleton work?

Published on 16 Apr 2026 - 14:06

score 67 · Answer 10 · 2026-04-13 05:17:02

67

Views

Proving that an ODE satisfies a minimum

Published on 13 Apr 2026 - 5:17

score 124 · Answer 11 · 2026-04-15 12:33:53

124

Views

Prove that $\mathbb{C}[x,y,z]/(y^2z-x^3+xz^2)$ is not isomorphic to $\mathbb{C}[x]$

Published on 15 Apr 2026 - 12:33

score 82 · Answer 12 · 2026-04-16 11:50:37

82

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(Proof Verification) Show that $\limsup_n X_n$ is tail-$\sigma$-algebra measurable for independent sequence of r.v. $(X_n)_{n=1}^\infty$.

Published on 16 Apr 2026 - 11:50

score 47 · Answer 13 · 2026-04-13 22:14:44

47

Views

Proof by induction verification: $A\subseteq B$ implies $A^+ \subseteq B^{+}$

Published on 13 Apr 2026 - 22:14

score 115 · Answer 14 · 2026-04-11 01:40:54

115

Views

Checking Fourier coefficients

Published on 11 Apr 2026 - 1:40

score 29 · Answer 15 · 2026-04-12 23:22:37

29

Views

Statistics Problems and Solutions Second Edition 4A.1 part (a)

Published on 12 Apr 2026 - 23:22

List Question

In how many ways can $3$ couples sit around a round table such that men and women alternate and none of the couples sit together?

Prove that for some $k$, there are polynomials $f_1(x),f_2(x),\ldots,f_k(x)$ such that $p(x)=\sum_{j=1}^k(f_j(x))^2$

$P({X^{-1}(x)}) = p$ for all $x$ then Field is finite

Evaluate $\lim_{x\to0}\frac{2-\cos(2x)-\cos(4x)}{x^2}$

Is my solution to Stacks Project Exercise 110.58.3 correct?

Position of the language $\left\{e \ \colon \phi_{e} \ \text{total and bounded}\right\}$ in the Arithmetical Hierarchy.

Show that: \[\mathbb{E}[X \mid Y=y]=\sum_{x \in X(\Omega)} x \mathbb{P}(X=x \mid Y=y)\]

Prove that the infinite interval $(-\infty, b)$ is an open set in $\mathbb{R}$.

Does this argument that the cohomology group of a CW complex is the same as that of a large enough skeleton work?

Proving that an ODE satisfies a minimum

Prove that $\mathbb{C}[x,y,z]/(y^2z-x^3+xz^2)$ is not isomorphic to $\mathbb{C}[x]$

(Proof Verification) Show that $\limsup_n X_n$ is tail-$\sigma$-algebra measurable for independent sequence of r.v. $(X_n)_{n=1}^\infty$.

Proof by induction verification: $A\subseteq B$ implies $A^+ \subseteq B^{+}$

Checking Fourier coefficients

Statistics Problems and Solutions Second Edition 4A.1 part (a)

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