List questions from geometric-measure-theory

Published on 16 Nov 2016 - 21:10

41

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How are these summations equal? $\sum_{q=2}^{\infty} \sum_{p=-mq}^{mq} \frac{2}{q^n} = \sum_{q=2}^{\infty} (2mq + 1) \frac{2}{q^n} $

Published on 27 Nov 2016 - 19:30

56

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Proving that the function $f(x)=\sum_i|x-q_i|2^{-i}$ is not differentiable at any rational point

Published on 01 Dec 2016 - 1:42

1.5k

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Can we always extend a Holder-boundary continuous function to whole domain?

Published on 05 Dec 2016 - 7:50

46

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How to show $\int_0^\infty Vol( \{x\in M : \phi(x)\ge t \} \cap M) dt =\int_M \phi $?

Published on 06 Dec 2016 - 11:07

211

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Simple cases of Jung's Theorem

Published on 01 Jan 2017 - 13:43

223

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the limit of rectangles?

Published on 26 Mar 2026 - 22:19

273

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Liquid levels from the base of a right cylindrical drinking glass

Published on 05 Feb 2017 - 19:24

296

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Computing wedge product of two positive closed currents

Published on 25 Feb 2017 - 20:00

78

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Smallest possible perimeter for a quadrilateral in a regular tetrahedron

Published on 01 Mar 2017 - 12:10

487

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Convergence of a sequence of characteristic function

Published on 04 Mar 2017 - 1:12

655

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Dense subspaces of $L^p$

Published on 08 Mar 2017 - 11:55

231

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Proof of the inner regularity of the Haar measure on $\mathbb{R}/\mathbb{Z}$

Published on 09 Mar 2017 - 1:25

292

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Proof of the Kellogg's theorem

Published on 12 Mar 2017 - 2:12

155

Views

covering an annulus with unit cubes

Published on 26 Mar 2026 - 12:33

List Question

Difficulty understanding step in proof from Morgan's "Geometric Measure Theory"

How are these summations equal? $\sum_{q=2}^{\infty} \sum_{p=-mq}^{mq} \frac{2}{q^n} = \sum_{q=2}^{\infty} (2mq + 1) \frac{2}{q^n} $

Proving that the function $f(x)=\sum_i|x-q_i|2^{-i}$ is not differentiable at any rational point

Can we always extend a Holder-boundary continuous function to whole domain?

How to show $\int_0^\infty Vol( \{x\in M : \phi(x)\ge t \} \cap M) dt =\int_M \phi $?

Simple cases of Jung's Theorem

the limit of rectangles?

Liquid levels from the base of a right cylindrical drinking glass

Computing wedge product of two positive closed currents

Smallest possible perimeter for a quadrilateral in a regular tetrahedron

Convergence of a sequence of characteristic function

Dense subspaces of $L^p$

Proof of the inner regularity of the Haar measure on $\mathbb{R}/\mathbb{Z}$

Proof of the Kellogg's theorem

covering an annulus with unit cubes

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