In mathematics, Ricci calculus constitutes the rules of index notation and manipulation for tensors and tensor fields on a differentiable manifold, with...

In mathematics, tensor calculus, tensor analysis, or Ricci calculus is an extension of vector calculus to tensor fields (tensors that may vary over a...

fundamental treatise on absolute differential calculus (also known as Ricci calculus) with coordinates or tensor calculus on Riemannian manifold, which then became...

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...

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...

Tensor calculus was developed around 1890 by Gregorio Ricci-Curbastro under the title absolute differential calculus, and originally presented by Ricci-Curbastro...

In differential geometry, the Ricci curvature tensor, named after Gregorio Ricci-Curbastro, is a geometric object which is determined by a choice of Riemannian...

propositional calculus, Ricci calculus, calculus of variations, lambda calculus, sequent calculus, and process calculus. Furthermore, the term "calculus" has variously...

In mathematics, matrix calculus is a specialized notation for doing multivariable calculus, especially over spaces of matrices. It collects the various...

mathematics of general relativity Levi-Civita connection Parallel transport Ricci calculus Tensor derivative (continuum mechanics) List of formulas in Riemannian...

trace Interior product Raising and lowering indices Musical isomorphism Ricci calculus Let L(V, V) be the space of linear maps from V to V. Then the natural...

equation Mathematics of general relativity Causal dynamical triangulation Ricci calculus Tullio E. Regge (1961). "General relativity without coordinates". Nuovo...

a fiber bundlePages displaying wikidata descriptions as a fallback Ricci calculus – Tensor index notation for tensor-based calculations Spinor field –...

equation Mathematics of general relativity Numerical relativity Ricci calculus Einstein, Albert (1916). "The Foundation of the General Theory of Relativity"...

electromagnetism Electromagnetic stress–energy tensor Gluon field strength tensor Ricci calculus Riemann–Silberstein vector ^ By definition, T [ a b c ] = 1 3 ! ( T...

concepts of the flow determined by a vector field Ricci calculus Vector Analysis, a textbook on vector calculus by Wilson, first published in 1901, which did...

mathematics of general relativity Mathematics of general relativity Ricci calculus For the details, see Section 2.11, The Metric Tensor and the Classical...

through the work of Gregorio Ricci-Curbastro and Tullio Levi-Civita, particularly in the form of absolute differential calculus within multilinear algebra...

electric and magnetic fields Maxwell stress tensor Poynting vector Ricci calculus Segre classification On pp. 141–142 of Misner, Thorne, and Wheeler,...

i} and the theorem follows. Q.E.D. Einstein notation Index notation Ricci calculus Reed, M.; Simon, B. (1980). Methods of Modern Mathematical Physics:...

particular, are non-numerical. Thus it should not be confused with the Ricci calculus. The notation was introduced by Roger Penrose as a way to use the formal...

notation Index notation Multi-index notation Penrose graphical notation Ricci calculus Tetrad (index notation) Van der Waerden notation Voigt notation Tensor...

He was an important contributor to the development of tensor calculus and Ricci calculus, and was one of the founders of the Mathematisch Centrum in Amsterdam...

For some history of the abstract theory see also multilinear algebra. Ricci calculus The earliest foundation of tensor theory – tensor index notation. Order...

spacetime Clifford algebra Finsler manifold List of coordinate charts Ricci calculus Tissot's indicatrix, a technique to visualize the metric tensor More...

tensor Einstein field equations General theory of relativity Ricci calculus Tensor calculus Riemann curvature tensor Bianchi, Luigi (1902), "Sui simboli...

of vectors Einstein notation Ricci calculus Tensor (intrinsic definition) Two-point tensor D.C. Kay (1988). Tensor Calculus. Schaum’s Outlines, McGraw Hill...

Nordström's theory of gravitation – Predecessor to the theory of relativity Ricci calculus – Tensor index notation for tensor-based calculations Timeline of gravitational...

unrelated use, superscripts also indicate contravariant tensors in Ricci calculus. The charges of ions and subatomic particles are also denoted by superscripts...

diagram notation Matrix product state uses Penrose graphical notation Ricci calculus Spin networks Trace diagram Roger Penrose, "Applications of negative...