In mathematics, Ricci calculus constitutes the rules of index notation and manipulation for tensors and tensor fields on a differentiable manifold, with...
43 KB (6,872 words) - 18:52, 6 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) - 15:42, 3 October 2024
fundamental treatise on absolute differential calculus (also known as Ricci calculus) with coordinates or tensor calculus on Riemannian manifold, which then became...
9 KB (937 words) - 15:41, 15 August 2024
Cramer's rule (section Ricci calculus)
2}\\a_{3}&b_{3}&c_{3}\end{vmatrix}}}.} Cramer's rule is used in the Ricci calculus in various calculations involving the Christoffel symbols of the first...
28 KB (4,027 words) - 00:37, 21 September 2024
achieving brevity. As part of mathematics it is a notational subset of Ricci calculus; however, it is often used in physics applications that do not distinguish...
14 KB (2,049 words) - 01:26, 28 October 2024
Tensor (section Ricci calculus)
Voigt in 1898. Tensor calculus was developed around 1890 by Gregorio Ricci-Curbastro under the title absolute differential calculus, and originally presented...
69 KB (9,351 words) - 11:28, 12 October 2024
In differential geometry, the Ricci curvature tensor, named after Gregorio Ricci-Curbastro, is a geometric object which is determined by a choice of Riemannian...
34 KB (5,859 words) - 04:51, 6 July 2024
equation Mathematics of general relativity Causal dynamical triangulation Ricci calculus Twisted geometries Tullio E. Regge (1961). "General relativity without...
7 KB (708 words) - 01:24, 20 July 2024
propositional calculus, Ricci calculus, calculus of variations, lambda calculus, sequent calculus, and process calculus. Furthermore, the term "calculus" has variously...
74 KB (8,584 words) - 13:29, 1 November 2024
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