Question

Prove: If $G$ Is Abelian Then For The Homomorphism $f:G\to H$, ${\rm im}(f)$ Is Abelian Too

score 163 · Answer 1 · 2020-02-23 16:58:49

163

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Prove: If $G$ Is Abelian Then For The Homomorphism $f:G\to H$, ${\rm im}(f)$ Is Abelian Too

Published on 23 Feb 2020 - 16:58

score 164 · Answer 2 · 2020-02-23 18:19:55

164

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Counting injective functions with certain restrictions

Published on 23 Feb 2020 - 18:19

score 227 · Answer 3 · 2020-02-23 19:02:07

227

Views

Verification of Proof by Induction

Published on 23 Feb 2020 - 19:02

score 650 · Answer 4 · 2020-02-23 19:14:24

650

Views

For homomorphism $\Phi$, $\Phi(x^n) = (\Phi(x))^n$

Published on 23 Feb 2020 - 19:14

score 128 · Answer 5 · 2020-02-23 20:57:02

128

Views

Prove the following integral identity.

Published on 23 Feb 2020 - 20:57

score 111 · Answer 6 · 2020-02-23 23:01:55

111

Views

Find the relative extrema of $g(x)=\frac{1}{9}x^9-x$

Published on 23 Feb 2020 - 23:01

score 54 · Answer 7 · 2020-02-24 00:00:15

54

Views

If a random variable $X$ is such that $P(X=0)<1,$ then there is an $\varepsilon>0$ with $P(\vert X\vert>\varepsilon)>0$

Published on 24 Feb 2020 - 0:00

score 57 · Answer 8 · 2020-02-24 00:03:50

57

Views

Help with completion of a simple proof by induction.

Published on 24 Feb 2020 - 0:03

score 1.2k · Answer 9 · 2020-02-24 03:59:26

1.2k

Views

Prove $g(x) = \sum_{k=0}^\infty \frac{(-1)^k}{2k+1}\,x^{2k+1}$ converges uniformly on [-1,1]

Published on 24 Feb 2020 - 3:59

score 46 · Answer 10 · 2020-02-24 04:27:15

46

Views

Beginner Proof by Induction: Is this correct?

Published on 24 Feb 2020 - 4:27

score 69 · Answer 11 · 2020-02-24 09:23:24

69

Views

Prove/Disprove: If $K\leq G \times H$ Then $K\in G'\times H'$ Where $G'\leq G$ And $H'\leq H$

Published on 24 Feb 2020 - 9:23

score 1.3k · Answer 12 · 2020-02-24 09:43:04

1.3k

Views

Proving that Injectivity of a Linear Map is equivalent to Ker(f) = {0}

Published on 24 Feb 2020 - 9:43

score 145 · Answer 13 · 2020-02-24 10:18:36

145

Views

Group Of Even Number Has Odd Number Of Elements Of Order 2

Published on 24 Feb 2020 - 10:18

score 58 · Answer 14 · 2020-02-24 10:19:05

58

Views

Help with two calculus proofs

Published on 24 Feb 2020 - 10:19

score 325 · Answer 15 · 2026-03-29 14:07:11

325

Views

Prove that $\lim_{x\to x_0} x^2 = x_0^2$

Published on 29 Mar 2026 - 14:07

List Question

Prove: If $G$ Is Abelian Then For The Homomorphism $f:G\to H$, ${\rm im}(f)$ Is Abelian Too

Counting injective functions with certain restrictions

Verification of Proof by Induction

For homomorphism $\Phi$, $\Phi(x^n) = (\Phi(x))^n$

Prove the following integral identity.

Find the relative extrema of $g(x)=\frac{1}{9}x^9-x$

If a random variable $X$ is such that $P(X=0)<1,$ then there is an $\varepsilon>0$ with $P(\vert X\vert>\varepsilon)>0$

Help with completion of a simple proof by induction.

Prove $g(x) = \sum_{k=0}^\infty \frac{(-1)^k}{2k+1}\,x^{2k+1}$ converges uniformly on [-1,1]

Beginner Proof by Induction: Is this correct?

Prove/Disprove: If $K\leq G \times H$ Then $K\in G'\times H'$ Where $G'\leq G$ And $H'\leq H$

Proving that Injectivity of a Linear Map is equivalent to Ker(f) = {0}

Group Of Even Number Has Odd Number Of Elements Of Order 2

Help with two calculus proofs

Prove that $\lim_{x\to x_0} x^2 = x_0^2$

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