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...

the Wald distribution Gauss code – described on website of University of Toronto Gauss linking integral (knot theory) Gauss's algorithm for determination...

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

In electromagnetism, Gauss's law, also known as Gauss's flux theorem or sometimes Gauss's theorem, is one of Maxwell's equations. It is an application...

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)...

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...

modified, as elaborated below.) Gauss's law for magnetism can be written in two forms, a differential form and an integral form. These forms are equivalent...

formulation of Gauss equation up to a trivial rearrangement. Similarly rewriting the magnetic flux in Gauss's law for magnetism in integral form gives ∮...

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

Friedrich Gauss. It states that the flux (surface integral) of the gravitational field over any closed surface is proportional to the mass enclosed. Gauss's law...

denotes the double factorial. In terms of the Gauss hypergeometric function, the complete elliptic integral of the first kind can be expressed as K ( k...

them in the 1960s, and Carl Friedrich Gauss. The problem in numerical integration is to approximate definite integrals of the form ∫ a b f ( x ) d x . {\displaystyle...

quadrature rules, such as Gauss-Hermite quadrature for integrals on the whole real line and Gauss-Laguerre quadrature for integrals on the positive reals...

to have considered the factorial of a complex number, as instead Gauss first did. Gauss also proved the multiplication theorem of the gamma function and...

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}...

setup Schwarz integral formula Parseval–Gutzmer formula Bochner–Martinelli formula Helffer–Sjöstrand formula Titchmarsh 1939, p. 84 "Gauss's Mean-Value Theorem"...

theorem of algebra, also called d'Alembert's theorem or the d'Alembert–Gauss theorem, states that every non-constant single-variable polynomial with...

of integrals on algebraic manifolds: Summary of main results and discussion of open problems (Gives a quick sketch of main structure theorem of Gauss–Manin...

is positive 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...

studying mathematics under Carl Friedrich Gauss (specifically his lectures on the method of least squares). Gauss recommended that Riemann give up his theological...

the lemniscate constant. Gauss's constant, denoted by G, is equal to ϖ /π ≈ 0.8346268 and named after Carl Friedrich Gauss, who calculated it via the...

be points on C {\displaystyle C} . Then the writhe is equal to the Gauss integral Wr = 1 4 π ∫ C ∫ C d r 1 × d r 2 ⋅ r 1 − r 2 | r 1 − r 2 | 3 {\displaystyle...

if the charge is in motion). Outline of proof Taking S in the integral form of Gauss's law to be a spherical surface of radius r, centered at the point...

squares, and was the first to officially publish on it, though Carl Friedrich Gauss had discovered it before him. Adrien-Marie Legendre was born in Paris on...

Braunschweig, where Gauss lived. Germain, concerned that he might suffer the fate of Archimedes, wrote to General Pernety (Joseph Marie de Pernety), a family...

approximating function, the logarithmic integral li(x) (under the slightly different form of a series, which he communicated to Gauss). Both Legendre's and Dirichlet's...

the German school of mathematical thinking, under which Carl Friedrich Gauss and his followers largely determined the lines on which mathematics developed...

Curve Fenchel's theorem Theorema egregium Gauss–Bonnet theorem First fundamental form Second fundamental form Gauss–Codazzi–Mainardi equations Dupin indicatrix...

integral of the curvature over the whole surface. As a special case of what is now called the Gauss–Bonnet theorem, Gauss proved that this integral was...

considering a Gaussian surface around a body. Mathematically, Gauss's law takes the form of an integral equation: Φ E = ∮ S E ⋅ d A = Q enclosed ε 0 = ∫ V ρ ε...