partial fraction decomposition

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• Partial fraction — In algebra, the partial fraction decomposition or partial fraction expansion is a procedure used to reduce the degree of either the numerator or the denominator of a rational function (also known as a rational algebraic fraction). In symbols, one …   Wikipedia

• partial fractions — /paʃəl ˈfrækʃənz/ (say pahshuhl frakshuhnz) plural noun Algebra the simple rational functions into which a given rational function may be resolved, their sum being equal to the given rational function. The process of resolution is known as… …  

• Singular value decomposition — Visualization of the SVD of a 2 dimensional, real shearing matrix M. First, we see the unit disc in blue together with the two canonical unit vectors. We then see the action of M, which distorts the disk to an ellipse. The SVD decomposes M into… …   Wikipedia

• Binomial coefficient — The binomial coefficients can be arranged to form Pascal s triangle. In mathematics, binomial coefficients are a family of positive integers that occur as coefficients in the binomial theorem. They are indexed by two nonnegative integers; the… …   Wikipedia

• Rational function — In mathematics, a rational function is any function which can be written as the ratio of two polynomial functions. DefinitionsIn the case of one variable, x , a rational function is a function of the form: f(x) = frac{P(x)}{Q(x)}where P and Q are …   Wikipedia

• Z-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… …   Wikipedia

• Examples of generating functions — The following examples are in the spirit of George Pólya, who advocated learning mathematics by doing and re capitulating as many examples and proofs as possible. The purpose of this article is to present common tricks of the trade in context, so …   Wikipedia

• Divided differences — In mathematics divided differences is a recursive division process. The method can be used to calculate the coefficients in the interpolation polynomial in the Newton form. Contents 1 Definition 2 Notation 3 Example …   Wikipedia

• List of polynomial topics — This is a list of polynomial topics, by Wikipedia page. See also trigonometric polynomial, list of algebraic geometry topics.Basics*Polynomial *Coefficient *Monomial *Polynomial long division *Polynomial factorization *Rational function *Partial… …   Wikipedia

• Operational calculus — Operational calculus, also known as operational analysis, is a technique by which problems in analysis, in particular differential equations, are transformed into algebraic problems, usually the problem of solving a polynomial equation. Contents… …   Wikipedia

• Partialbruchzerlegung — Die Partialbruchzerlegung ist eine standardisierte Darstellung rationaler Funktionen. Sie wird in der Mathematik verwendet, um die Rechnung mit solchen Funktionen zu erleichtern. Insbesondere kommt sie bei der Integration der rationalen… …   Deutsch Wikipedia