Gauss notation (also known as a Gauss code or Gauss words) is a notation for mathematical knots. It is created by enumerating and classifying the crossings...
4 KB (486 words) - 11:19, 14 October 2024
Gaussian elimination (redirect from Gauss elimination method)
algebra textbooks by the end of the 18th century. Carl Friedrich Gauss in 1810 devised a notation for symmetric elimination that was adopted in the 19th century...
33 KB (4,369 words) - 22:29, 19 June 2025
Divergence theorem (redirect from Gauss' theorem)
In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, is a theorem relating the flux of a vector field...
45 KB (7,538 words) - 18:50, 5 July 2025
The Gauss–Newton algorithm is used to solve non-linear least squares problems, which is equivalent to minimizing a sum of squared function values. It...
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different number sequences possible in this notation. Alexander–Briggs notation Conway notation Gauss notation Dowker, C. H.; Thistlethwaite, Morwen B. (1983-07-01)...
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differential geometry, Einstein notation (also known as the Einstein summation convention or Einstein summation notation) is a notational convention that implies...
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exist. Conway knot Dowker notation Alexander–Briggs notation Gauss notation "Conway notation", mi.sanu.ac.rs. "Conway Notation", The Knot Atlas. Conway...
3 KB (348 words) - 09:41, 19 November 2022
Positional notation, also known as place-value notation, positional numeral system, or simply place value, usually denotes the extension to any base of...
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Knot theory (redirect from Alexander-Briggs notation)
polyhedra, there are nonstandard choices available. Gauss code, similar to the Dowker–Thistlethwaite notation, represents a knot with a sequence of integers...
50 KB (6,492 words) - 13:15, 14 July 2025
In statistics, the Gauss–Markov theorem (or simply Gauss theorem for some authors) states that the ordinary least squares (OLS) estimator has the lowest...
28 KB (4,717 words) - 18:09, 24 March 2025
Maxwell's equations (section Gauss's law)
Maxwell's microscopic equations can be written as (top to bottom: Gauss's law, Gauss's law for magnetism, Faraday's law, Ampère-Maxwell law) ∇ ⋅ E = ρ ε...
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Ricci calculus (redirect from Tensor index notation)
In mathematics, Ricci calculus constitutes the rules of index notation and manipulation for tensors and tensor fields on a differentiable manifold, with...
46 KB (7,275 words) - 11:43, 2 June 2025
Hypergeometric function (redirect from Gauss's hypergeometric theorem)
Euler, but the first full systematic treatment was given by Carl Friedrich Gauss (1813). Studies in the nineteenth century included those of Ernst Kummer (1836)...
39 KB (6,920 words) - 21:33, 14 July 2025
associated names for this idea: Mandel notation, Mandel–Voigt notation and Nye notation are others found. Kelvin notation is a revival by Helbig of old ideas...
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Floor and ceiling functions (category Mathematical notation)
his proof of the Legendre's formula. Carl Friedrich Gauss introduced the square bracket notation [x] in his third proof of quadratic reciprocity (1808)...
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Matrix (mathematics) (redirect from Matrix notation)
including solving linear equations and finding matrix inverses with Gauss elimination and Gauss–Jordan elimination, respectively. A submatrix of a matrix is...
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In mathematics and physics, Penrose graphical notation or tensor diagram notation is a (usually handwritten) visual depiction of multilinear functions...
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surface onto a flat plane, a consequence of the later Theorema Egregium of Gauss. The first systematic or rigorous treatment of geometry using the theory...
46 KB (5,964 words) - 21:55, 19 May 2025
Multi-index notation is a mathematical notation that simplifies formulas used in multivariable calculus, partial differential equations and the theory...
8 KB (1,428 words) - 20:57, 10 September 2023
than from notations. — Carl Friedrich Gauss, writing about the proof of Wilson's theorem At the turn of the 19th century, Carl Friedrich Gauss developed...
98 KB (11,251 words) - 14:26, 22 June 2025
Do not confuse μ the gravitational parameter with Gauss's notation for the mass of the body. Gauss, Carl Friedrich; Davis, Charles Henry (1857). Theory...
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Abstract index notation (also referred to as slot-naming index notation) is a mathematical notation for tensors and spinors that uses indices to indicate...
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Glossary of tensor theory (redirect from Tensor notation)
contrast, a dyad is specifically a dyadic tensor of rank one. Einstein notation This notation is based on the understanding that whenever a multidimensional array...
8 KB (1,034 words) - 11:00, 27 October 2024
Quadratic reciprocity (section Gauss)
before its modern form: Euler and Legendre did not have Gauss's congruence notation, nor did Gauss have the Legendre symbol. In this article p and q always...
111 KB (8,566 words) - 17:56, 9 July 2025
In mathematics, the Gauss circle problem is the problem of determining how many integer lattice points there are in a circle centered at the origin and...
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Gaussian brackets (category Carl Friedrich Gauss)
special notation invented by Carl Friedrich Gauss to represent the convergents of a simple continued fraction in the form of a simple fraction. Gauss used...
7 KB (1,462 words) - 19:23, 5 March 2025
Differential geometry of surfaces (section Christoffel symbols, Gauss–Codazzi equations, and the Theorema Egregium)
investigated is the Gaussian curvature, first studied in depth by Carl Friedrich Gauss, who showed that curvature was an intrinsic property of a surface, independent...
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matrix A by producing another matrix, often denoted by AT (among other notations). The transpose of a matrix was introduced in 1858 by the British mathematician...
19 KB (2,422 words) - 08:49, 10 July 2025
all other values of n the group is not cyclic. This was first proved by Gauss. This means that for these n: ( Z / n Z ) × ≅ C φ ( n ) , {\displaystyle...
26 KB (3,156 words) - 13:35, 6 May 2025