Question

Prove that the Legendre polynomials satisfy $P_n(1) = 1$ and $P_n(-1)=(-1)^n$

score 379 · Answer 1 · 2026-03-26 08:00:52

379

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Prove that the Legendre polynomials satisfy $P_n(1) = 1$ and $P_n(-1)=(-1)^n$

Published on 26 Mar 2026 - 8:00

score 74 · Answer 2 · 2026-03-28 12:32:15

74

Views

Weak solutions of incompressible/compressible fluids

Published on 28 Mar 2026 - 12:32

score 162 · Answer 3 · 2023-04-26 17:18:21

162

Views

Why are Wigner matrices the appropriate representation for rotations in physics?

Published on 26 Apr 2023 - 17:18

score 75 · Answer 4 · 2026-04-02 03:51:24

75

Views

Justification of an identity involving the spatial derivative operator in a von Neumann algebra used in the proof of monotonicity of relative entropy

Published on 02 Apr 2026 - 3:51

score 66 · Answer 5 · 2026-03-25 14:38:00

66

Views

Lagrangian field theories define a canonical $\mathbb R$-torsor/$\mathbb R$-bundle

Published on 25 Mar 2026 - 14:38

score 34 · Answer 6 · 2023-05-01 08:50:06

34

Views

Asymptotic analysis of an integral - continuous time random walk framework

Published on 01 May 2023 - 8:50

score 337 · Answer 7 · 2026-02-23 04:49:49

337

Views

Solving $x''+x+\text{sgn}(x')\sqrt{|x'|} = 0\ $ Does it have closed form solutions? Does it stop moving? Could it stop at a different place than zero?

Published on 23 Feb 2026 - 4:49

score 23 · Answer 8 · 2026-03-29 23:41:21

23

Views

Gravitational Attraction Central Force

Published on 29 Mar 2026 - 23:41

score 36 · Answer 9 · 2026-04-01 14:12:38

36

Views

Calculation of distance between origin and a point based on elevation and azimuth angle in 3 d Cartesian system

Published on 01 Apr 2026 - 14:12

score 41 · Answer 10 · 2026-03-25 11:24:30

41

Views

What simplifications could be made in the evaluation of the product of shifted Hermite polynomials at a point?

Published on 25 Mar 2026 - 11:24

score 131 · Answer 11 · 2026-03-25 06:06:38

131

Views

Closed-form expression of $\int_ 0^{\pi/2} (1-x \cot x)^2 \csc^2 x \log (1-x \cot x) dx$

Published on 25 Mar 2026 - 6:06

score 157 · Answer 12 · 2026-03-25 14:32:27

157

Views

How do gauge transformations reflect on the associated bundles?

Published on 25 Mar 2026 - 14:32

score 40 · Answer 13 · 2026-03-26 13:07:35

40

Views

Description linearized tanks

Published on 26 Mar 2026 - 13:07

score 81 · Answer 14 · 2023-05-09 13:23:57

81

Views

Spectral theorem and multiplication operator

Published on 09 May 2023 - 13:23

score 96 · Answer 15 · 2026-03-31 17:49:23

96

Views

Finding solutions to nonlinear wave equations with time-periodic boundary conditions (closed timelike curves)

Published on 31 Mar 2026 - 17:49

List Question

Prove that the Legendre polynomials satisfy $P_n(1) = 1$ and $P_n(-1)=(-1)^n$

Weak solutions of incompressible/compressible fluids

Why are Wigner matrices the appropriate representation for rotations in physics?

Justification of an identity involving the spatial derivative operator in a von Neumann algebra used in the proof of monotonicity of relative entropy

Lagrangian field theories define a canonical $\mathbb R$-torsor/$\mathbb R$-bundle

Asymptotic analysis of an integral - continuous time random walk framework

Solving $x''+x+\text{sgn}(x')\sqrt{|x'|} = 0\ $ Does it have closed form solutions? Does it stop moving? Could it stop at a different place than zero?

Gravitational Attraction Central Force

Calculation of distance between origin and a point based on elevation and azimuth angle in 3 d Cartesian system

What simplifications could be made in the evaluation of the product of shifted Hermite polynomials at a point?

Closed-form expression of $\int_ 0^{\pi/2} (1-x \cot x)^2 \csc^2 x \log (1-x \cot x) dx$

How do gauge transformations reflect on the associated bundles?

Description linearized tanks

Spectral theorem and multiplication operator

Finding solutions to nonlinear wave equations with time-periodic boundary conditions (closed timelike curves)

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