List questions from solution-verification

Published on 24 Dec 2019 - 15:41

26

Views

Differentiate $v(x,y)= \int_{(a,b)}^{(x,y)}[-u_y(x,y) dx + u_x(x,y) dy]$ with respect to $y$

Published on 24 Dec 2019 - 17:02

81

Views

Showing that $C_0$, $C_b$, and $\mathcal{B}_b$ are Banach spaces w.r.t. the supremum norm

Published on 24 Dec 2019 - 17:25

101

Views

Preservation of Second Countability

Published on 25 Mar 2026 - 7:47

43

Views

Formality of a statement in a calculus exercise, proof check

Published on 24 Dec 2019 - 17:44

287

Views

Proof verification: Metrizable spaces are completely regular.

Published on 25 Mar 2026 - 20:33

69

Views

Proving $\lim_{(x,y)\to(0,0)} \frac{\cos(xy)-1}{x}=0$ using $(\epsilon,\delta)$-arguments

Published on 29 Mar 2026 - 9:11

72

Views

$f(x)=x^3-ax^2-ax+1,\;\;|x_1|+|x_2|+|x_3|=3$

Published on 25 Mar 2026 - 17:39

72

Views

Bound for $\prod_i^\infty(1+x_i)$ if $\sum_i^\infty x_i$ converges to $L$.

Published on 25 Dec 2019 - 4:24

105

Views

Simplifying a proof of Sylow's first theorem

Published on 27 Mar 2026 - 18:07

65

Views

Euler's Identity

Published on 25 Dec 2019 - 9:35

94

Views

Verify elementary sets in $\mathbb{R^n}$ form a ring of sets

Published on 25 Dec 2019 - 9:39

45

Views

1-manifold with boundary

Published on 26 Mar 2026 - 1:17

162

Views

Proving a statement about perfect squares

Published on 30 Mar 2026 - 5:11

92

Views

Find CDF of quotient of uniform RVs

Published on 25 Dec 2019 - 15:16

List Question

Hausdorff Property

Differentiate $v(x,y)= \int_{(a,b)}^{(x,y)}[-u_y(x,y) dx + u_x(x,y) dy]$ with respect to $y$

Showing that $C_0$, $C_b$, and $\mathcal{B}_b$ are Banach spaces w.r.t. the supremum norm

Preservation of Second Countability

Formality of a statement in a calculus exercise, proof check

Proof verification: Metrizable spaces are completely regular.

Proving $\lim_{(x,y)\to(0,0)} \frac{\cos(xy)-1}{x}=0$ using $(\epsilon,\delta)$-arguments

$f(x)=x^3-ax^2-ax+1,\;\;|x_1|+|x_2|+|x_3|=3$

Bound for $\prod_i^\infty(1+x_i)$ if $\sum_i^\infty x_i$ converges to $L$.

Simplifying a proof of Sylow's first theorem

Euler's Identity

Verify elementary sets in $\mathbb{R^n}$ form a ring of sets

1-manifold with boundary

Proving a statement about perfect squares

Find CDF of quotient of uniform RVs

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