• 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 (502 words) - 21:52, 1 August 2024
  • Thumbnail for Dowker–Thistlethwaite notation
    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
  • Thumbnail for Conway notation (knot theory)
    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
  • Thumbnail for Gaussian elimination
    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...
    32 KB (4,252 words) - 22:13, 9 September 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) - 17:33, 9 June 2024
  • 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
  • Thumbnail for Gauss–Newton algorithm
    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...
    26 KB (4,204 words) - 19:52, 11 June 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) - 22:25, 15 August 2024
  • Thumbnail for Knot theory
    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
  • 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...
    99 KB (11,511 words) - 01:12, 16 August 2024
  • Thumbnail for Penrose graphical notation
    In mathematics and physics, Penrose graphical notation or tensor diagram notation is a (usually handwritten) visual depiction of multilinear functions...
    9 KB (678 words) - 06:39, 9 September 2024
  • 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...
    8 KB (1,380 words) - 22:29, 24 March 2024
  • Thumbnail for Gaussian gravitational constant
    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...
    28 KB (3,708 words) - 16:28, 10 June 2024
  • 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 (1,472 words) - 21:55, 1 August 2024
  • Thumbnail for Positional notation
    Positional notation (or place-value notation, or positional numeral system) usually denotes the extension to any base of the Hindu–Arabic numeral system...
    51 KB (7,391 words) - 19:37, 9 September 2024
  • 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
  • Thumbnail for Hypergeometric function
    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
  • Thumbnail for Shoelace 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
  • Thumbnail for Floor and ceiling functions
    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) - 22:00, 4 September 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 (1,238 words) - 16:22, 20 June 2023
  • Thumbnail for Gauss circle problem
    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
  • Thumbnail for Tensor
    Tensor (section Notation)
    concepts of later tensor analysis arose from the work of Carl Friedrich Gauss in differential geometry, and the formulation was much influenced by the...
    69 KB (9,352 words) - 18:17, 6 September 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
  • Thumbnail for Transpose
    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) - 12:30, 8 May 2024
  • identical. In number theory, it has been used beginning with Carl Friedrich Gauss (who first used it with this meaning in 1801) to mean modular congruence:...
    9 KB (1,017 words) - 20:37, 8 September 2024
  • Thumbnail for Gauss's principle of least constraint
    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
  • 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
  • Thumbnail for Differential geometry
    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 (5,912 words) - 12:29, 10 September 2024
  • 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) - 22:13, 31 August 2024
  • 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 (1,028 words) - 17:44, 11 January 2023