fresnel integrals

fresnel integrals
Physics
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  • Fresnel integral — S(x) and C(x) The maximum of C(x) is about 0.977451424. If πt²/2 were used instead of t², then the image would be scaled vertically and horizontally (see below). Fresnel integrals, S(x) and C(x), are two transcendental functions named aft …   Wikipedia

  • Fresnel-Integral — Als Fresnel Integrale werden in der Mathematik die beiden uneigentlichen Integrale bezeichnet; sie ergeben sich aus dem gaußschen Fehlerintegral unter Benutzung des cauchyschen Integralsatzes. Fresnel kannte sie um 1819. Euler kannte schon 1781… …   Deutsch Wikipedia

  • Euler spiral — A double end Euler spiral. An Euler spiral is a curve whose curvature changes linearly with its curve length (the curvature of a circular curve is equal to the reciprocal of the radius). Euler spirals are also commonly referred to as spiros,… …   Wikipedia

  • Track transition curve — The red Euler spiral is an example of an easement curve between a blue straight line and a circular arc, shown in green …   Wikipedia

  • Error function — Plot of the error function In mathematics, the error function (also called the Gauss error function) is a special function (non elementary) of sigmoid shape which occurs in probability, statistics and partial differential equations. It is defined …   Wikipedia

  • Trigonometric integral — Si(x) (blue) and Ci(x) (green) plotted on the same plot. In mathematics, the trigonometric integrals are a family of integrals which involve trigonometric functions. A number of the basic trigonometric integrals are discussed at the list of… …   Wikipedia

  • Fresnelintegral — Als Fresnel Integrale werden in der Mathematik die beiden uneigentlichen Integrale bezeichnet; sie ergeben sich aus dem gaußschen Fehlerintegral unter Benutzung des cauchyschen Integralsatzes. Fresnel kannte sie um 1819. Euler kannte schon 1781… …   Deutsch Wikipedia

  • Entire function — In complex analysis, an entire function, also called an integral function, is a complex valued function that is holomorphic over the whole complex plane. Typical examples of entire functions are the polynomials and the exponential function, and… …   Wikipedia

  • Dawson function — The Dawson function, F(x) = D + (x), around the origin …   Wikipedia

  • Интегралы Френеля — S(x) и C(x). Максимальное значение для C(x) приме …   Википедия

  • Gauss's continued fraction — In complex analysis, Gauss s continued fraction is a particular class of continued fractions derived from hypergeometric functions. It was one of the first analytic continued fractions known to mathematics, and it can be used to represent several …   Wikipedia

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