Question

Show that $[2x]+[2y] \geq [x]+[y]+[x+y]$

score 4.6k · Answer 1 · 2014-12-27 08:30:50

4.6k

Views

Show that $[2x]+[2y] \geq [x]+[y]+[x+y]$

Published on 27 Dec 2014 - 8:30

score 268 · Answer 2 · 2014-12-27 22:56:59

268

Views

Is my solution correct? (If $S_\Omega \cong S_\Delta$ then $|\Omega|=|\Delta|$)

Published on 27 Dec 2014 - 22:56

score 73 · Answer 3 · 2014-12-28 02:08:03

73

Views

The orthogonal group $\mathcal O_n (\mathbb K)$ is isomorphic to a subgroup of $\mathcal O_{n+1} (\mathbb K)$

Published on 28 Dec 2014 - 2:08

score 1.1k · Answer 4 · 2026-03-27 21:51:22

1.1k

Views

Transformation of line $y=k=constant$ under the mapping $w=cos(z)$

Published on 27 Mar 2026 - 21:51

score 5.1k · Answer 5 · 2014-12-28 10:28:50

5.1k

Views

Need to check if these logic answers are correct =)

Published on 28 Dec 2014 - 10:28

score 88 · Answer 6 · 2014-12-28 12:12:33

88

Views

Where is my flaw? (The map $\pi \mapsto \varphi_\pi$ is a homomorphism)

Published on 28 Dec 2014 - 12:12

score 1k · Answer 7 · 2026-03-27 21:44:38

1k

Views

Plotting the region $ -1 < Re(z) \le 1$ and $ -\pi/2 < Im(z) \le \pi/2$ before and after being transformed by $w=e^z$

Published on 27 Mar 2026 - 21:44

score 253 · Answer 8 · 2014-12-29 14:02:44

253

Views

Getting wrong answer trying to evaluate $\int \frac {\sin(2x)dx}{(1+\cos(2x))^2}$

Published on 29 Dec 2014 - 14:02

score 79 · Answer 9 · 2014-12-29 18:24:56

79

Views

On left and right inverses of functions

Published on 29 Dec 2014 - 18:24

score 43 · Answer 10 · 2014-12-29 19:55:15

43

Views

Is it possible to alter a holomorphic function such that it has a specific pole? (Complex Variables - Flanigan)

Published on 29 Dec 2014 - 19:55

score 2.1k · Answer 11 · 2014-12-29 21:22:27

2.1k

Views

How write down joint PMF, conditinals and marginals of Bernoulli and Binomial random variables?

Published on 29 Dec 2014 - 21:22

score 557 · Answer 12 · 2014-12-29 21:33:25

557

Views

Solution verification: a continuous function in an open interval $(a,b)$ with finite limits of $f(a^+)$ and $f(b^-)$ is bounded

Published on 29 Dec 2014 - 21:33

score 1k · Answer 13 · 2026-03-25 17:41:55

1k

Views

Five cards are chosen from a standard deck with replacement. Find joint PMF of number of queens, kings and others.

Published on 25 Mar 2026 - 17:41

score 3k · Answer 14 · 2014-12-30 14:55:55

3k

Views

Let $X$ and $Y$ be i.i.d. $\operatorname{Geom}(p)$, and $N = X + Y$. Find the joint PMF of $X, Y, N$

Published on 30 Dec 2014 - 14:55

score 319 · Answer 15 · 2014-12-30 22:34:30

319

Views

Solution verification: Representing a central product as a direct product of two cyclic groups

Published on 30 Dec 2014 - 22:34

List Question

Show that $[2x]+[2y] \geq [x]+[y]+[x+y]$

Is my solution correct? (If $S_\Omega \cong S_\Delta$ then $|\Omega|=|\Delta|$)

The orthogonal group $\mathcal O_n (\mathbb K)$ is isomorphic to a subgroup of $\mathcal O_{n+1} (\mathbb K)$

Transformation of line $y=k=constant$ under the mapping $w=cos(z)$

Need to check if these logic answers are correct =)

Where is my flaw? (The map $\pi \mapsto \varphi_\pi$ is a homomorphism)

Plotting the region $ -1 < Re(z) \le 1$ and $ -\pi/2 < Im(z) \le \pi/2$ before and after being transformed by $w=e^z$

Getting wrong answer trying to evaluate $\int \frac {\sin(2x)dx}{(1+\cos(2x))^2}$

On left and right inverses of functions

Is it possible to alter a holomorphic function such that it has a specific pole? (Complex Variables - Flanigan)

How write down joint PMF, conditinals and marginals of Bernoulli and Binomial random variables?

Solution verification: a continuous function in an open interval $(a,b)$ with finite limits of $f(a^+)$ and $f(b^-)$ is bounded

Five cards are chosen from a standard deck with replacement. Find joint PMF of number of queens, kings and others.

Let $X$ and $Y$ be i.i.d. $\operatorname{Geom}(p)$, and $N = X + Y$. Find the joint PMF of $X, Y, N$

Solution verification: Representing a central product as a direct product of two cyclic groups

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