In mathematics, matrix calculus is a specialized notation for doing multivariable calculus, especially over spaces of matrices. It collects the various...
85 KB (7,036 words) - 06:55, 11 May 2024
In mathematics, tensor calculus, tensor analysis, or Ricci calculus is an extension of vector calculus to tensor fields (tensors that may vary over a...
13 KB (1,906 words) - 17:49, 5 July 2024
In vector calculus, the Jacobian matrix (/dʒəˈkoʊbiən/, /dʒɪ-, jɪ-/) of a vector-valued function of several variables is the matrix of all its first-order...
25 KB (3,593 words) - 19:18, 22 August 2024
the product of the Jones matrix of the optical element and the Jones vector of the incident light. Note that Jones calculus is only applicable to light...
28 KB (3,523 words) - 04:52, 4 February 2024
Orthonormalization of a set of vectors Irregular matrix Matrix calculus – Specialized notation for multivariable calculus Matrix function – Function that maps matrices...
106 KB (13,096 words) - 01:43, 20 August 2024
inner-product space Matrix calculus, a specialized notation for multivariable calculus over spaces of matrices Numerical calculus (also called numerical...
5 KB (671 words) - 05:49, 20 August 2024
integration Gabriel's horn Jacobian matrix Hessian matrix Curvature Green's theorem Divergence theorem Stokes' theorem Vector Calculus Infinite series Maclaurin...
4 KB (389 words) - 12:14, 10 February 2024
columns in the first matrix must be equal to the number of rows in the second matrix. The resulting matrix, known as the matrix product, has the number...
41 KB (6,581 words) - 21:45, 2 August 2024
functions to a square matrix, extending what has just been discussed. In the finite-dimensional case, the polynomial functional calculus yields quite a bit...
4 KB (584 words) - 05:22, 2 February 2023
vector field Laplacian Laplacian vector field Level set Line integral Matrix calculus Mixed derivatives Monkey saddle Multiple integral Newtonian potential...
2 KB (156 words) - 12:13, 30 October 2023