Question

Is $(I^n, \partial I^n)$ homotopy equivalent to $(R^n, R^n\setminus \left\{0\right\})$

score 707 · Answer 1 · 2018-05-22 13:09:22

707

Views

Is $(I^n, \partial I^n)$ homotopy equivalent to $(R^n, R^n\setminus \left\{0\right\})$

Published on 22 May 2018 - 13:09

score 253 · Answer 2 · 2018-05-25 15:10:22

253

Views

Bipartite graph $G=(A,B)$ with $\delta(A)=3n/2$ and no $C_4$ has a matching which saturate each vertex in $A$.

Published on 25 May 2018 - 15:10

score 1.7k · Answer 3 · 2018-05-27 19:54:17

1.7k

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Is the product of path connected spaces also path connected in a topology other than the product topology?

Published on 27 May 2018 - 19:54

score 138 · Answer 4 · 2018-05-29 14:46:18

138

Views

Evaluate $\lim\limits_{x\to 0 } \frac{ e^{\frac{\ln(1+ax)}{x}} - e^{\frac{a\ln(1+x)}{x}}}{x}$.

Published on 29 May 2018 - 14:46

score 172 · Answer 5 · 2018-06-04 19:15:13

172

Views

The implication: $x+\frac{1}{x}=1 \implies x^7+\frac{1}{x^7}=1$

Published on 04 Jun 2018 - 19:15

score 6.2k · Answer 6 · 2018-06-07 09:48:32

6.2k

Views

A die is weighted so that each even number is twice as likely to appear as any odd number.

Published on 07 Jun 2018 - 9:48

score 239 · Answer 7 · 2018-06-07 20:24:32

Ten students, $A, B, \ldots,$ are in a class. If a committee of 3 is chosen at random from the class, find the probability that $A$ is chosen.

score 1.6k · Answer 8 · 2018-06-08 09:42:08

1.6k

Views

Find the probability that the maximum of the two numbers is greater than $4$.

Published on 08 Jun 2018 - 9:42

score 260 · Answer 9 · 2018-06-09 12:44:00

260

Views

If $a$ and $b$ are generators of the group $G$ and $ab=ba,$ Prove that $G$ is abelian.

Published on 09 Jun 2018 - 12:44

score 769 · Answer 10 · 2026-03-22 08:33:19

769

Views

Prove that composition of analytic functions is analytic

Published on 22 Mar 2026 - 8:33

score 146 · Answer 11 · 2018-06-20 02:50:47

146

Views

Prove $\ \int_a^b fd\alpha =0$

Published on 20 Jun 2018 - 2:50

score 328 · Answer 12 · 2018-06-22 14:33:46

Prove that if $\mathcal F \subseteq \mathcal{G}_1 \cap \mathcal{G}_2$, then $\cap \mathcal{G}_1 \cup \cap \mathcal{G}_2 \subseteq \cap \mathcal{F}$

score 614 · Answer 13 · 2018-06-22 20:48:49

614

Views

Which function satisfies $: \mathbb R → [−2, 2]$ with $((0))^ 2 + ( ′ (0))^ 2 = 85$,also $f$ is twice differentiable?

Published on 22 Jun 2018 - 20:48

score 556 · Answer 14 · 2026-03-22 22:56:30

556

Views

Integral of $e^{-xy}$ is a Dirac Delta

Published on 22 Mar 2026 - 22:56

score 335 · Answer 15 · 2018-06-24 16:03:38

335

Views

Proving the Fundamental Theorem of Algebra via Taylor Series?

Published on 24 Jun 2018 - 16:03

List Question

Is $(I^n, \partial I^n)$ homotopy equivalent to $(R^n, R^n\setminus \left\{0\right\})$

Bipartite graph $G=(A,B)$ with $\delta(A)=3n/2$ and no $C_4$ has a matching which saturate each vertex in $A$.

Is the product of path connected spaces also path connected in a topology other than the product topology?

Evaluate $\lim\limits_{x\to 0 } \frac{ e^{\frac{\ln(1+ax)}{x}} - e^{\frac{a\ln(1+x)}{x}}}{x}$.

The implication: $x+\frac{1}{x}=1 \implies x^7+\frac{1}{x^7}=1$

A die is weighted so that each even number is twice as likely to appear as any odd number.

Ten students, $A, B, \ldots,$ are in a class. If a committee of 3 is chosen at random from the class, find the probability that $A$ is chosen.

Find the probability that the maximum of the two numbers is greater than $4$.

If $a$ and $b$ are generators of the group $G$ and $ab=ba,$ Prove that $G$ is abelian.

Prove that composition of analytic functions is analytic

Prove $\ \int_a^b fd\alpha =0$

Prove that if $\mathcal F \subseteq \mathcal{G}_1 \cap \mathcal{G}_2$, then $\cap \mathcal{G}_1 \cup \cap \mathcal{G}_2 \subseteq \cap \mathcal{F}$

Which function satisfies $: \mathbb R → [−2, 2]$ with $((0))^ 2 + ( ′ (0))^ 2 = 85$,also $f$ is twice differentiable?

Integral of $e^{-xy}$ is a Dirac Delta

Proving the Fundamental Theorem of Algebra via Taylor Series?

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