User bathalf15320

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What are some examples of understanding a space by studying the functions on this space?

answered Jan 2, 2022 at 13:41

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Vector-Valued Stone-Weierstrass Theorem?

answered Sep 14, 2020 at 8:12

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Defining the abstract tensor product of W*-algebras via a universal property

answered Feb 16, 2022 at 5:44

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A number characterizing the deviation of a triangle from the regular triangle

answered Apr 8, 2021 at 18:19

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Necessary and sufficient condition for quadrilateral to be cyclic

answered Apr 26, 2021 at 6:46

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Characterising subsets of the reals as ordered spaces

answered Jan 13, 2022 at 15:36

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The centroid, the first and second Napoleon points and $X(930)$ lie on a circle

answered Jan 27, 2021 at 15:00

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Point of concurrency

answered Mar 10, 2021 at 9:17

3 votes

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A generalization of Napoleon's theorem

answered Jan 12, 2021 at 12:42

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Zero points of a smooth function on $\mathbb{R}$

answered Oct 27, 2021 at 14:38

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ratio between a polygon bounded in another polygon

answered Jul 2, 2020 at 10:52

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holomorphy in infinite dimensions (holomorphic families of operators)

answered Oct 9, 2020 at 13:47

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Six points on an ellipse

answered Jan 4, 2021 at 9:32

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Is there an area-preserving concentric diffeomorphism of the ellipse?

answered Mar 12, 2021 at 12:21

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Is delta function symmetric against real axis?

answered Mar 9, 2021 at 8:20

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Extension of Valdivia-Vogt isomorphism from $\mathscr{D}(K)$ to $\mathscr{E}'(K)$

answered Feb 3, 2021 at 12:50

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Distances from a parallelogram to a plane

answered Dec 24, 2021 at 18:24

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Theorems with finite sets of exceptions

answered Sep 7, 2021 at 8:48

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A quantity associated to a triangle

answered Apr 11, 2021 at 20:15

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19 Answers

What are some examples of understanding a space by studying the functions on this space?

Vector-Valued Stone-Weierstrass Theorem?

Defining the abstract tensor product of W*-algebras via a universal property

A number characterizing the deviation of a triangle from the regular triangle

Necessary and sufficient condition for quadrilateral to be cyclic

Characterising subsets of the reals as ordered spaces

The centroid, the first and second Napoleon points and $X(930)$ lie on a circle

Point of concurrency

A generalization of Napoleon's theorem

Zero points of a smooth function on $\mathbb{R}$

ratio between a polygon bounded in another polygon

holomorphy in infinite dimensions (holomorphic families of operators)

Six points on an ellipse

Is there an area-preserving concentric diffeomorphism of the ellipse?

Is delta function symmetric against real axis?

Extension of Valdivia-Vogt isomorphism from $\mathscr{D}(K)$ to $\mathscr{E}'(K)$

Distances from a parallelogram to a plane

Theorems with finite sets of exceptions

A quantity associated to a triangle