Question

Indexing lattice nodes based on distance to lattice center

score 58 · Answer 1 · 2026-03-27 13:19:36

58

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Indexing lattice nodes based on distance to lattice center

Published on 27 Mar 2026 - 13:19

score 91 · Answer 2 · 2024-01-19 07:24:16

91

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Covering number of the sphere (Vershynin): $\mathcal{N}\left(S^{n-1}, \varepsilon\right) \leq\left(1+\frac{2}{\varepsilon}\right)^n$

Published on 19 Jan 2024 - 7:24

score 72 · Answer 3 · 2024-01-24 15:52:59

72

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Prove that the plane $(A'MN)$ is tangent to the sphere inscribed in the cube.

Published on 24 Jan 2024 - 15:52

score 53 · Answer 4 · 2026-03-27 21:04:41

53

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Concentration around the median implies concentration around the mean - Theorem 5.1.4 from High-Dimensional Probability

Published on 27 Mar 2026 - 21:04

score 34 · Answer 5 · 2024-01-26 14:32:15

34

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What is the average value of the square of the maximum of a normalized vector?

Published on 26 Jan 2024 - 14:32

score 74 · Answer 6 · 2024-01-29 11:29:33

74

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Intersection of 3 spheres

Published on 29 Jan 2024 - 11:29

score 207 · Answer 7 · 2024-01-29 11:41:24

207

Views

Expectation of uniformly distributed random variables on unit sphere in $\mathbb{R}^n$

Published on 29 Jan 2024 - 11:41

score 60 · Answer 8 · 2026-03-25 17:21:54

60

Views

Given latitude and longitude and facing north, how can I calculate the rotation needed to face another latitude and longitude (namely 0,0)?

Published on 25 Mar 2026 - 17:21

score 240 · Answer 9 · 2026-03-28 11:35:19

240

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Find the equation of the sphere with points P such that the distance from P to A(−2, 4, 4) is twice the distance from P to B(6, 3, −1).

Published on 28 Mar 2026 - 11:35

score 58 · Answer 10 · 2026-03-29 17:33:46

58

Views

Differentiable curves on $S^2$

Published on 29 Mar 2026 - 17:33

score 74 · Answer 11 · 2024-02-06 22:22:12

74

Views

Do smaller balls cover more of the unit ball?

Published on 06 Feb 2024 - 22:22

score 115 · Answer 12 · 2024-02-11 10:06:32

115

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Must three distinct spheres always intersect in exactly two points?

Published on 11 Feb 2024 - 10:06

score 206 · Answer 13 · 2026-03-27 16:22:13

206

Views

How many ways can a cube fit into a sphere through its vertices?

Published on 27 Mar 2026 - 16:22

score 37 · Answer 14 · 2024-02-15 16:11:16

If a point equally distant of the vertices of a regular tetrahedron, does this mean it is the center of the sphere circumscribed in that tetrahedron?

score 25 · Answer 15 · 2024-02-16 20:37:14

25

Views

What is the relationship between radius percentage and volume percentage for a layered sphere?

Published on 16 Feb 2024 - 20:37

List Question

Indexing lattice nodes based on distance to lattice center

Covering number of the sphere (Vershynin): $\mathcal{N}\left(S^{n-1}, \varepsilon\right) \leq\left(1+\frac{2}{\varepsilon}\right)^n$

Prove that the plane $(A'MN)$ is tangent to the sphere inscribed in the cube.

Concentration around the median implies concentration around the mean - Theorem 5.1.4 from High-Dimensional Probability

What is the average value of the square of the maximum of a normalized vector?

Intersection of 3 spheres

Expectation of uniformly distributed random variables on unit sphere in $\mathbb{R}^n$

Given latitude and longitude and facing north, how can I calculate the rotation needed to face another latitude and longitude (namely 0,0)?

Find the equation of the sphere with points P such that the distance from P to A(−2, 4, 4) is twice the distance from P to B(6, 3, −1).

Differentiable curves on $S^2$

Do smaller balls cover more of the unit ball?

Must three distinct spheres always intersect in exactly two points?

How many ways can a cube fit into a sphere through its vertices?

If a point equally distant of the vertices of a regular tetrahedron, does this mean it is the center of the sphere circumscribed in that tetrahedron?

What is the relationship between radius percentage and volume percentage for a layered sphere?

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