List questions from computational-mathematics

82

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System of polynomial equations induced by $f(x,y,z) = xyz - x^2 - y^2 - z^2$ where $f_x = f_y $ $= f_z = 0$

Published on 21 Mar 2022 - 9:52

36

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solve the recurrence relation $ T(n) = n^{1/2}T(n^{1/2}) +3n $

Published on 23 Mar 2022 - 14:55

12

Views

Best software (open-source if possible) for modelling free boundary problems and general constitutive relations in Computational Mechanics.

Published on 31 Mar 2026 - 22:29

164

Views

Numerical differentiation using forward difference method

Published on 26 Mar 2022 - 1:40

328

Views

Prove that the Legendre polynomial recurrence relationship satisfies the defining differential equation

Published on 28 Mar 2026 - 9:55

40

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Is vector based distance between a point and a line differentiable?

Published on 28 Mar 2022 - 16:55

35

Views

Show that for any monic polynomial of degree $n$, the inner product $\langle q,q \rangle \geq \langle p_n,p_n\rangle$

Published on 29 Mar 2026 - 3:36

139

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Show that for Chebyshev polynomials satisfy $(1-x^2)T'_k + kxT_k -kT_{k-1} = 0$

Published on 27 Mar 2026 - 0:05

106

Views

How to calculate Fourier series via Cauchy Product?

Published on 03 Apr 2022 - 10:52

465

Views

Efficient solving of Boolean linear equations systems

Published on 03 Apr 2022 - 21:24

57

Views

discrete approximations of partial derivatives

Published on 30 Mar 2026 - 4:24

58

Views

clarification for the tangential and normal components of acceleration

Published on 27 Mar 2026 - 14:28

376

Views

The stiffness matrix for a triangle in the finite element mehod

Published on 29 Mar 2026 - 3:12

230

Views

How to determine the fractal dimension of a random walk in 2D?

Published on 24 Feb 2026 - 2:27

225

Views

Sum of Binomial Coefficients Modulo Prime Power

Published on 12 Apr 2022 - 13:35

List Question

System of polynomial equations induced by $f(x,y,z) = xyz - x^2 - y^2 - z^2$ where $f_x = f_y $ $= f_z = 0$

solve the recurrence relation $ T(n) = n^{1/2}T(n^{1/2}) +3n $

Best software (open-source if possible) for modelling free boundary problems and general constitutive relations in Computational Mechanics.

Numerical differentiation using forward difference method

Prove that the Legendre polynomial recurrence relationship satisfies the defining differential equation

Is vector based distance between a point and a line differentiable?

Show that for any monic polynomial of degree $n$, the inner product $\langle q,q \rangle \geq \langle p_n,p_n\rangle$

Show that for Chebyshev polynomials satisfy $(1-x^2)T'_k + kxT_k -kT_{k-1} = 0$

How to calculate Fourier series via Cauchy Product?

Efficient solving of Boolean linear equations systems

discrete approximations of partial derivatives

clarification for the tangential and normal components of acceleration

The stiffness matrix for a triangle in the finite element mehod

How to determine the fractal dimension of a random walk in 2D?

Sum of Binomial Coefficients Modulo Prime Power

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