List questions from proof-verification

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Compute the volume bounded by the parabolic cylinders $x^2=4-4z, \quad y^2=4-4z$ and the $xy-$plane.

Published on 23 Feb 2018 - 15:07

2.7k

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Proving a subgroup of $\operatorname{GL}(2, \mathbb R)$

Published on 23 Feb 2018 - 15:37

31

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then the value of $\alpha , \beta , \gamma$

Published on 23 Feb 2018 - 16:47

1.2k

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Prove that x and y commute

Published on 23 Feb 2018 - 16:55

5.3k

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For subspace $U$ of $V$ where $V$ is finite-dimensional, is $U = V$ if and only if $\dim U = \dim V$?

Published on 23 Feb 2018 - 16:56

118

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Prove that the closure of every $T$-orbit is a $T$-invariant subset of X

Published on 25 Mar 2026 - 6:13

190

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If $x+y=2$ then show that $x^2y^2(x^2+y^2)≤2$

Published on 23 Feb 2018 - 21:07

63

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Verifying that $H(z)$ is analytic

Published on 22 Mar 2026 - 16:31

1.3k

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Suppose $x^2=1$ for all $x \in G$. Prove that $G$ is abelian.

Published on 23 Feb 2018 - 21:35

511

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Show that for any $g,x \in G$ $|x^{-1} g x | = |xgx^{-1}| = |g|$

Published on 23 Feb 2018 - 22:57

174

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Atiyah-McDonald Exercise 2.3

Published on 22 Mar 2026 - 4:10

91

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Is this method to solve a system of equations in modular arithmetic correct?

Published on 24 Feb 2018 - 0:05

200

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$W^0\subset U^0\implies U\subset W$

Published on 24 Feb 2018 - 0:23

161

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Proof of bijection for $\Phi(p)=(p'', p'(0), p(0) )$

Published on 24 Mar 2026 - 23:55

35

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I'm confused about this proof concerning limits and sequences:

Published on 24 Feb 2018 - 5:41

List Question

Compute the volume bounded by the parabolic cylinders $x^2=4-4z, \quad y^2=4-4z$ and the $xy-$plane.

Proving a subgroup of $\operatorname{GL}(2, \mathbb R)$

then the value of $\alpha , \beta , \gamma$

Prove that x and y commute

For subspace $U$ of $V$ where $V$ is finite-dimensional, is $U = V$ if and only if $\dim U = \dim V$?

Prove that the closure of every $T$-orbit is a $T$-invariant subset of X

If $x+y=2$ then show that $x^2y^2(x^2+y^2)≤2$

Verifying that $H(z)$ is analytic

Suppose $x^2=1$ for all $x \in G$. Prove that $G$ is abelian.

Show that for any $g,x \in G$ $|x^{-1} g x | = |xgx^{-1}| = |g|$

Atiyah-McDonald Exercise 2.3

Is this method to solve a system of equations in modular arithmetic correct?

$W^0\subset U^0\implies U\subset W$

Proof of bijection for $\Phi(p)=(p'', p'(0), p(0) )$

I'm confused about this proof concerning limits and sequences:

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