List questions from real-analysis

Published on 06 Apr 2026 - 11:18

475

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Minkowski sums of convex and bounded sets

Published on 26 Mar 2026 - 13:51

62

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Find $f$ and $g$ that are both $C^1$ with $f(y)=g(y)=0$ and $f'(y)= a g'(y) \neq 0$, but $\lim_{x\to y} \frac{f(x)}{g(x)}$ DNE.

Published on 25 Mar 2026 - 5:50

201

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Integral Transform (Weierstrass transform of PDF of t-distributions)

Published on 11 Apr 2026 - 17:39

73

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Measure inequality in $L^2$

Published on 12 Apr 2026 - 7:23

87

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Higher order derivative of a composition of vector valued multivariate functions

Published on 25 Mar 2026 - 9:27

138

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Differential of a smooth extension of a map

Published on 25 Mar 2026 - 0:07

22

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Statement of GP $1.2.12$: velocity vectors

Published on 12 Apr 2026 - 18:30

1.2k

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Fubini's theorem for multiple Riemann integrals

Published on 08 Apr 2026 - 23:14

68

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Proof that $x_1=x_2$ maximizes $f(x_1)+f(x_2)$, when its derivatives are unequal until $x_1=x_2$.

Published on 25 Mar 2026 - 9:29

140

Views

An upper bound for $\|2 \nabla f(x) - \nabla f(y)\|$ in terms of $\|x-y\|$ if the gradient is $L$-Lipschitz

Published on 09 Apr 2026 - 1:51

168

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How is this function closed?

Published on 11 Apr 2026 - 18:34

51

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On differentiation with respect to functions

Published on 12 Apr 2026 - 2:27

56

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Determine the Laplace transform given:

Published on 10 Apr 2026 - 15:42

58

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If $(x^{(n)})^∞_{n=m}$ is Cauchy and if some subsequence of $(x^{(n)})^∞_{n=m}$ converges then so does $(x^{(n)})^∞_{n=m}$

Published on 09 Apr 2026 - 15:44

List Question

Let the sequence $x_n = (1-\frac{1}{2})(1-\frac{1}{4})\dots(1-\frac{1}{2^n})$

Minkowski sums of convex and bounded sets

Find $f$ and $g$ that are both $C^1$ with $f(y)=g(y)=0$ and $f'(y)= a g'(y) \neq 0$, but $\lim_{x\to y} \frac{f(x)}{g(x)}$ DNE.

Integral Transform (Weierstrass transform of PDF of t-distributions)

Measure inequality in $L^2$

Higher order derivative of a composition of vector valued multivariate functions

Differential of a smooth extension of a map

Statement of GP $1.2.12$: velocity vectors

Fubini's theorem for multiple Riemann integrals

Proof that $x_1=x_2$ maximizes $f(x_1)+f(x_2)$, when its derivatives are unequal until $x_1=x_2$.

An upper bound for $\|2 \nabla f(x) - \nabla f(y)\|$ in terms of $\|x-y\|$ if the gradient is $L$-Lipschitz

How is this function closed?

On differentiation with respect to functions

Determine the Laplace transform given:

If $(x^{(n)})^∞_{n=m}$ is Cauchy and if some subsequence of $(x^{(n)})^∞_{n=m}$ converges then so does $(x^{(n)})^∞_{n=m}$

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