List questions from spheres

Published on 02 Sep 2020 - 17:21

675

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exponential integral on n-dimensional unit sphere

Published on 06 Sep 2020 - 13:55

76

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Proper map on $n$-sphere

Published on 07 Sep 2020 - 10:30

46

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Integral of square root of quadric form, over a sphere

Published on 01 Apr 2026 - 2:55

111

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Points on a sphere - how to get the third angle

Published on 31 Mar 2026 - 11:50

1.1k

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Does the sphere $x^2 + (y-2)^2 + z^2 = 1$ intersect the plane $z-x = 3$? If so, find a point in their intersection. If not explain why.

Published on 30 Mar 2026 - 16:45

269

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Find an equation in rectangular coordinates for the sphere consisting of points whose distance to $(3,3,3)$ is twice their distance to $(0,0,0)$.

Published on 15 Sep 2020 - 17:43

74

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Formula for euclidean distance between two normalized points with given angle.

Published on 17 Sep 2020 - 11:48

63

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Comparing volumes of $d$-dimensional unit-balls to upper bound kissing-number.

Published on 28 Mar 2026 - 23:16

107

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What is the smallest possible height of the cylinder?

Published on 22 Sep 2020 - 14:06

54

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Let $x,y$ be nonzero vectors and $u$, $v$ be their unit vectors. Lower-bound $\|u-v\|$ as an increasing function of $\|x-y\|$

Published on 30 Mar 2026 - 15:17

517

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Volume of a sphere using Calculus

Published on 24 Sep 2020 - 8:21

61

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Handle Blow-Ups in differential equations

Published on 26 Mar 2026 - 9:29

345

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High dimensional ball

Published on 27 Sep 2020 - 2:53

829

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Show that the unit quaternions form a group.

Published on 28 Sep 2020 - 21:50

List Question

Proofs of the Volume of a Sphere.

exponential integral on n-dimensional unit sphere

Proper map on $n$-sphere

Integral of square root of quadric form, over a sphere

Points on a sphere - how to get the third angle

Does the sphere $x^2 + (y-2)^2 + z^2 = 1$ intersect the plane $z-x = 3$? If so, find a point in their intersection. If not explain why.

Find an equation in rectangular coordinates for the sphere consisting of points whose distance to $(3,3,3)$ is twice their distance to $(0,0,0)$.

Formula for euclidean distance between two normalized points with given angle.

Comparing volumes of $d$-dimensional unit-balls to upper bound kissing-number.

What is the smallest possible height of the cylinder?

Let $x,y$ be nonzero vectors and $u$, $v$ be their unit vectors. Lower-bound $\|u-v\|$ as an increasing function of $\|x-y\|$

Volume of a sphere using Calculus

Handle Blow-Ups in differential equations

High dimensional ball

Show that the unit quaternions form a group.

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