Question

Calculate the triple integral using spherical coordinates: $\int_C z^2dxdydz$

score 167 · Answer 1 · 2021-10-10 13:35:19

167

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Calculate the triple integral using spherical coordinates: $\int_C z^2dxdydz$

Published on 10 Oct 2021 - 13:35

score 45 · Answer 2 · 2026-03-25 21:01:25

45

Views

Obtaining the most important terms in a certain spherical integral involving Hermite polynomials

Published on 25 Mar 2026 - 21:01

score 330 · Answer 3 · 2026-03-13 16:32:11

330

Views

Calculate the area of the hemisphere cut by a plane

Published on 13 Mar 2026 - 16:32

score 62 · Answer 4 · 2026-03-25 22:26:53

62

Views

Find coefficient of $t^k$ in $\int_0^{2\pi}H_n(t\cos\phi+(1-t^2)^{1/2}\sin\phi)H_m(r\cos\phi)d\phi$, where $H_n$ is $n$th Hermite polynomial

Published on 25 Mar 2026 - 22:26

score 48 · Answer 5 · 2026-03-25 22:30:51

48

Views

Analytic formula for $\int_0^{2\pi} \cos^N\phi H_n(r\cos\phi)\sin^M\phi H_m(r\sin\phi)d\phi$, where $H_n$ is $n$th Hermite polynomial

Published on 25 Mar 2026 - 22:30

score 55 · Answer 6 · 2026-03-27 14:58:52

55

Views

How do I parameterize the intersection of $x^2-y^2=11$ and $z=xy$

Published on 27 Mar 2026 - 14:58

score 62 · Answer 7 · 2026-03-28 12:32:45

62

Views

Compute limit of $a_n:=E[f(x_1)f(x_2)]$, for random $(x_1,\ldots,x_n)$ on unit-sphere in $R^n$ and any function $f$ with a jump discontinuity at $0$.

Published on 28 Mar 2026 - 12:32

score 120 · Answer 8 · 2026-03-28 14:19:33

120

Views

Growth rate of derivatives of $\phi_n(t):=\mathbb E_x[f(x_1)f(tx_1 + (1-t^2)^{1/2} x_2)]$, where $x=(x_1,\ldots,x_n)$ is uniform on unit-sphere

Published on 28 Mar 2026 - 14:19

score 96 · Answer 9 · 2026-03-26 10:45:17

96

Views

Asymptotic distribution of ratio of two coordinates of random unit-vector

Published on 26 Mar 2026 - 10:45

score 222 · Answer 10 · 2021-10-26 12:57:15

222

Views

Cone inside a sphere in the first octant

Published on 26 Oct 2021 - 12:57

score 168 · Answer 11 · 2026-03-31 22:44:32

168

Views

Stokes' theorem on the 2-sphere

Published on 31 Mar 2026 - 22:44

score 407 · Answer 12 · 2021-10-30 21:23:08

407

Views

How to show that $v_{tt}=c^2v_{rr}$ or $u_{tt}=c^2(u_{rr}+\dfrac{2}{r}u_r)$?

Published on 30 Oct 2021 - 21:23

score 126 · Answer 13 · 2026-02-24 01:53:41

126

Views

For a spherically symmetric Riemannian manifold, are all the metric functions even or odd?

Published on 24 Feb 2026 - 1:53

score 116 · Answer 14 · 2021-11-10 18:19:40

116

Views

How to calculate particle trajectory in spherical coordinates

Published on 10 Nov 2021 - 18:19

score 63 · Answer 15 · 2021-11-10 23:51:00

63

Views

Integral on a sphere with a custom point (electrical charge)

Published on 10 Nov 2021 - 23:51

List Question

Calculate the triple integral using spherical coordinates: $\int_C z^2dxdydz$

Obtaining the most important terms in a certain spherical integral involving Hermite polynomials

Calculate the area of the hemisphere cut by a plane

Find coefficient of $t^k$ in $\int_0^{2\pi}H_n(t\cos\phi+(1-t^2)^{1/2}\sin\phi)H_m(r\cos\phi)d\phi$, where $H_n$ is $n$th Hermite polynomial

Analytic formula for $\int_0^{2\pi} \cos^N\phi H_n(r\cos\phi)\sin^M\phi H_m(r\sin\phi)d\phi$, where $H_n$ is $n$th Hermite polynomial

How do I parameterize the intersection of $x^2-y^2=11$ and $z=xy$

Compute limit of $a_n:=E[f(x_1)f(x_2)]$, for random $(x_1,\ldots,x_n)$ on unit-sphere in $R^n$ and any function $f$ with a jump discontinuity at $0$.

Growth rate of derivatives of $\phi_n(t):=\mathbb E_x[f(x_1)f(tx_1 + (1-t^2)^{1/2} x_2)]$, where $x=(x_1,\ldots,x_n)$ is uniform on unit-sphere

Asymptotic distribution of ratio of two coordinates of random unit-vector

Cone inside a sphere in the first octant

Stokes' theorem on the 2-sphere

How to show that $v_{tt}=c^2v_{rr}$ or $u_{tt}=c^2(u_{rr}+\dfrac{2}{r}u_r)$?

For a spherically symmetric Riemannian manifold, are all the metric functions even or odd?

How to calculate particle trajectory in spherical coordinates

Integral on a sphere with a custom point (electrical charge)

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