c2003
11Quaternion — Quaternions, in mathematics, are a non commutative extension of complex numbers. They were first described by the Irish mathematician Sir William Rowan Hamilton in 1843 and applied to mechanics in three dimensional space. They find uses in both… …
12Harmonic function — In mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f : U rarr; R (where U is an open subset of R n ) which satisfies Laplace s equation,… …
13Power series — In mathematics, a power series (in one variable) is an infinite series of the form:f(x) = sum {n=0}^infty a n left( x c ight)^n = a 0 + a 1 (x c)^1 + a 2 (x c)^2 + a 3 (x c)^3 + cdotswhere an represents the coefficient of the n th term, c is a… …
14Cauchy's integral theorem — In mathematics, the Cauchy integral theorem in complex analysis, named after Augustin Louis Cauchy, is an important statement about line integrals for holomorphic functions in the complex plane. Essentially, it says that if two different paths… …
15Analytic function — This article is about both real and complex analytic functions. The article holomorphic function is solely about analytic functions in complex analysis. An analytic signal is a signal with no negative frequency components. In mathematics, an… …
16Cauchy's integral formula — In mathematics, Cauchy s integral formula, named after Augustin Louis Cauchy, is a central statement in complex analysis. It expresses the fact that a holomorphic function defined on a disk is completely determined by its values on the boundary… …
17Residue theorem — The residue theorem in complex analysis is a powerful tool to evaluate line integrals of analytic functions over closed curves and can often be used to compute real integrals as well. It generalizes the Cauchy integral theorem and Cauchy s… …
18Pancho Villa — For the boxer known as Pancho Villa , see Francisco Guilledo. José Doroteo Arango Arámbula Pancho Villa …
19Z-transform — In mathematics and signal processing, the Z transform converts a discrete time domain signal, which is a sequence of real or complex numbers, into a complex frequency domain representation. It is like a discrete equivalent of the Laplace… …
20Judah Loew ben Bezalel — Ladislav Šaloun s statue popularly ascribed to Loew at the new town hall of Prague in the Czech Republic. Judah Loew ben Bezalel, alt. Loewe, Löwe, or Levai, (c. 1520 – 17 September 1609)[1] widely known to scholars of Judaism as the Maharal of… …
