Johann Carl Friedrich Gauss (German: Gauß [kaʁl ˈfʁiːdʁɪç ˈɡaʊs] ; Latin: Carolus Fridericus Gauss; 30 April 1777 – 23 February 1855) was a German mathematician...

In numerical linear algebra, the Gauss–Seidel method, also known as the Liebmann method or the method of successive displacement, is an iterative method...

Gauss quadrature rule and its Kronrod extension are often used as an estimate of the approximation error. A popular example combines a 7-point Gauss rule...

mathematics, the Chern theorem (or the Chern–Gauss–Bonnet theorem after Shiing-Shen Chern, Carl Friedrich Gauss, and Pierre Ossian Bonnet) states that the...

polygons with n edges) are constructible and which are not? Carl Friedrich Gauss proved the constructibility of the regular 17-gon in 1796. Five years later...

central limit theorem supports the idea that this is a good approximation in many cases. The Gauss–Markov theorem. In a linear model in which the errors have...

improving approximate solutions for a class of problems, in which the i-th approximation (called an "iterate") is derived from the previous ones. A specific...

Approximations for the mathematical constant pi (π) in the history of mathematics reached an accuracy within 0.04% of the true value before the beginning...

from the approximation. An important part of the analysis of any numerical integration method is to study the behavior of the approximation error as a...

weaker than electrostatic forces. Coulomb's law can be used to derive Gauss's law, and vice versa. In the case of a single point charge at rest, the...

complex numbers Gamma function: Lanczos approximation Spouge's approximation — modification of Stirling's approximation; easier to apply than Lanczos AGM method...

(2000, p. 74) De Moivre, Abraham (1733), Corollary I – see Walker (1985, p. 77) Stigler (1986, p. 76) Gauss (1809, section 177) Gauss (1809, section...

as an approximation for this to obtain 2 + ⁠1/6⁠ as an approximation for ⁠93/43⁠ and 4 + ⁠1/2 + ⁠1/6⁠⁠, about 4.4615, as the third approximation. Further...

then the digamma function has the following integral representation due to Gauss: ψ ( z ) = ∫ 0 ∞ ( e − t t − e − z t 1 − e − t ) d t . {\displaystyle \psi...

good approximation for a z with large real part one may go step by step down to the desired z. Following an indication of Carl Friedrich Gauss, Rocktaeschel...

elliptiques, par M. de La Grange". Mathematics General Collection. doi:10.1163/9789004460409_mor2-b29447057. Retrieved 2023-08-11. Gauss, Carl Friedrich (1877)...

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...

function, Jacques Hadamard and Charles Jean de la Vallée-Poussin managed to complete the proof of Gauss's conjecture. In particular, they proved that...

In mathematics, the error function (also called the Gauss error function), often denoted by erf, is a function e r f : C → C {\displaystyle \mathrm {erf}...

including the Egyptians and Babylonians, required fairly accurate approximations of π for practical computations. Around 250 BC, the Greek mathematician...

Collège de France and at the University of Paris, learning mathematics from Hachette among others, while undertaking private study of Gauss's Disquisitiones...

approximations: Flat surface, Gauss-mid-latitude; | Δ D error | ∝ D 3 {\displaystyle |\Delta D_{\text{error}}|\propto D^{3}} 0-th-order approximation:...

integers and arithmetic functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory...

Singularités des systèmes différentiels de Gauss-Manin, Birkhäuser, 1979. Introduction à l’étude topologique des singularités de Landau, Mémorial des Sciences Mathématiques...

DFT can be traced to Carl Friedrich Gauss's unpublished 1805 work on the orbits of asteroids Pallas and Juno. Gauss wanted to interpolate the orbits from...

field at its surface ranges from 25 to 65 μT (0.25 to 0.65 G). As an approximation, it is represented by a field of a magnetic dipole currently tilted...

Gauss–Bonnet theorem (differential geometry) Gauss–Lucas theorem (complex analysis) Gauss–Markov theorem (statistics) Gauss–Wantzel theorem (geometry) Gelfand–Mazur...

2002, he was awarded the Gottfried Wilhelm Leibniz Prize and in 2011 the Gauss Lectureship. He was also a taekwondo athlete. He has been the Chair of the...

Friedrich Gauss, the integral is ∫ − ∞ ∞ e − x 2 d x = π . {\displaystyle \int _{-\infty }^{\infty }e^{-x^{2}}\,dx={\sqrt {\pi }}.} Abraham de Moivre originally...

Developed in 1969 and 1971, LSSA is also known as the Vaníček method and the Gauss-Vaniček method after Petr Vaníček, and as the Lomb method or the Lomb–Scargle...