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...
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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...
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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...
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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)...
4 KB (404 words) - 06:25, 24 August 2023
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 (7,529 words) - 14:07, 17 August 2024
differential geometry, Einstein notation (also known as the Einstein summation convention or Einstein summation notation) is a notational convention that implies...
14 KB (1,960 words) - 21:10, 3 October 2024
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) - 00:34, 30 September 2024
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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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...
49 KB (6,295 words) - 22:27, 12 July 2024
Positional notation, also known as place-value notation, positional numeral system, or simply place value, usually denotes the extension to any base of...
51 KB (7,396 words) - 20:06, 11 October 2024
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...
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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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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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In mathematics and physics, Penrose graphical notation or tensor diagram notation is a (usually handwritten) visual depiction of multilinear functions...
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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 (1,467 words) - 13:35, 3 October 2024
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)...
40 KB (7,168 words) - 13:44, 27 August 2024
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
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...
11 KB (1,631 words) - 00:25, 18 January 2024
Maxwell's equations (section Gauss's law)
modification of Ampère's circuital law is important because the laws of Ampère and Gauss must otherwise be adjusted for static fields.[clarification needed] As a...
75 KB (7,916 words) - 22:20, 5 October 2024
Abstract index notation (also referred to as slot-naming index notation) is a mathematical notation for tensors and spinors that uses indices to indicate...
7 KB (1,235 words) - 13:05, 4 October 2024
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...
43 KB (6,872 words) - 18:52, 6 May 2024
Shoelace formula (redirect from Gauss' area formula)
The shoelace formula, also known as Gauss's area formula and the surveyor's formula, is a mathematical algorithm to determine the area of a simple polygon...
15 KB (3,172 words) - 16:33, 10 June 2024
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)...
37 KB (5,879 words) - 22:56, 9 October 2024
Quadratic residue (section Notations)
Gauss used R and N to denote residuosity and non-residuosity, respectively; for example, 2 R 7 and 5 N 7, or 1 R 8 and 3 N 8. Although this notation is...
54 KB (5,557 words) - 19:40, 15 May 2024
Covariant derivative (section Notation)
language and using a local coordinate system and the traditional index notation. The covariant derivative of a tensor field is presented as an extension...
37 KB (6,473 words) - 00:23, 24 September 2024
Matrix (mathematics) (redirect from Matrix notation)
Also at the end of the 19th century, the Gauss–Jordan elimination (generalizing a special case now known as Gauss elimination) was established by Wilhelm...
108 KB (13,450 words) - 12:59, 4 October 2024
equal to each other and summed over. In Einstein notation this summation is built into the notation. The result is another tensor with order reduced by...
13 KB (1,882 words) - 20:15, 30 September 2024
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...
20 KB (2,525 words) - 07:55, 7 October 2024
variational formulation of classical mechanics enunciated by Carl Friedrich Gauss in 1829, equivalent to all other formulations of analytical mechanics. Intuitively...
8 KB (1,138 words) - 20:40, 4 June 2024